fft arm

.vscode/c_cpp_properties.json

@@ -28,6 +28,8 @@
         "${workspaceFolder}/Appli/TouchGFX/App",
         "${workspaceFolder}/Drivers/CMSIS/Include",
         "${workspaceFolder}/Drivers/CMSIS/Device/ST/STM32H7RSxx/Include",
+        "${workspaceFolder}/Drivers/CMSIS/DSP/Include",
+        "${workspaceFolder}/Drivers/CMSIS/DSP/PrivateInclude",
         "${workspaceFolder}/Drivers/STM32H7RSxx_HAL_Driver/Inc",
         "${workspaceFolder}/Drivers/CMSIS/RTOS2/Include",
         "${workspaceFolder}/Drivers/STM32H7RSxx_BSP/STM32H7S78-DK",

.vscode/launch.json

@@ -1,6 +1,7 @@
 {
   "version": "0.2.0",
   "configurations": [
+  
     {
       "name": "Debug Boot",
       "type": "cortex-debug",

Appli/Core/Inc/audio_analysis.h

@@ -0,0 +1,50 @@
+#ifndef AUDIO_ANALYSIS_H
+#define AUDIO_ANALYSIS_H
+
+#include <stdbool.h>
+#include <stdint.h>
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+/* FFT calculee sur 2048 points : le spectre d'un signal reel est symetrique, donc
+ * seule la moitie (0 a Fe/2) est utile -> exactement 1024 points affichables,
+ * correspondant a la capacite du widget Graph cote IHM. */
+#define AUDIO_ANALYSIS_SAMPLE_RATE_HZ 48000U
+#define AUDIO_ANALYSIS_FFT_SIZE       2048U
+#define AUDIO_ANALYSIS_NUM_BINS       (AUDIO_ANALYSIS_FFT_SIZE / 2U)   /* 1024 : 0 a Fe/2 */
+
+/* A appeler une fois au demarrage, comme AudioEffects_Init(). */
+void AudioAnalysis_Init(void);
+
+/* A appeler depuis le chemin audio temps reel (ex: push_to_fifo), un echantillon
+ * a la fois. Ne fait rien (cout quasi nul) tant que l'analyse n'est pas activee. */
+void AudioAnalysis_PushSample(float sample);
+
+/* A appeler depuis la tache IHM (jamais depuis le contexte audio) : si un bloc de
+ * AUDIO_ANALYSIS_FFT_SIZE echantillons est pret, calcule son spectre (fenetrage +
+ * FFT + magnitude en dB). Retourne true si un nouveau spectre vient d'etre calcule. */
+bool AudioAnalysis_Update(void);
+
+/* Spectre courant, AUDIO_ANALYSIS_NUM_BINS valeurs en dB (echelle approximative,
+ * pour affichage uniquement), du bin 0 (continu) au bin NUM_BINS-1 (~Fe/2). Le
+ * pas entre deux bins vaut AUDIO_ANALYSIS_SAMPLE_RATE_HZ / AUDIO_ANALYSIS_FFT_SIZE
+ * (23.4375 Hz ici). Valide apres un AudioAnalysis_Update() ayant retourne true ;
+ * inchange sinon (dernier spectre calcule). */
+const float *AudioAnalysis_GetMagnitudesDb(void);
+
+/* Frequence (en Hz) du bin de plus forte magnitude dans le dernier spectre calcule
+ * (frequence dominante / pic). Valide dans les memes conditions que
+ * AudioAnalysis_GetMagnitudesDb(). */
+float AudioAnalysis_GetPeakFrequencyHz(void);
+
+/* Active/desactive la capture et le calcul (pilote par le toggle de l'ecran Oscillo). */
+void AudioAnalysis_SetEnabled(bool enabled);
+bool AudioAnalysis_IsEnabled(void);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* AUDIO_ANALYSIS_H */

Appli/Core/Inc/audio_effects.h

@@ -18,7 +18,8 @@ extern "C" {
  * octaveur -> egaliseur -> overdrive -> saturation -> echo -> reverberation. */
 typedef struct
 {
-    bool audio_on_off;
+    bool  audio_on_off;
+    float master_volume;   /* volume general en sortie de chaine, 0.0 a 1.0 */
     FxOctaverParams octaver;
     FxEqualizerParams equalizer;
     FxOverdriveParams overdrive;

Appli/Core/Src/audio_analysis.c

@@ -0,0 +1,155 @@
+#include "audio_analysis.h"
+#include "arm_math.h"
+#include <math.h>
+#include <string.h>
+
+#define FFT_SIZE AUDIO_ANALYSIS_FFT_SIZE
+#define NUM_BINS AUDIO_ANALYSIS_NUM_BINS
+
+/* --- Capture en double buffer (ping-pong), ecrite depuis le chemin audio temps
+ * reel, lue depuis la tache IHM. Un seul ecrivain, un seul lecteur : pas de verrou
+ * necessaire, meme principe que la FIFO audio principale. --- */
+static float    g_capture_buf[2][FFT_SIZE];
+static uint32_t g_capture_fill_idx = 0;
+static uint8_t  g_capture_write_buf = 0;
+static volatile uint8_t g_capture_ready_buf = 0xFFU; /* 0xFF = aucun buffer complet en attente */
+
+static bool g_analysis_enabled = false;
+
+/* --- Fenetre precalculee (a l'init uniquement, jamais recalculee en boucle) --- */
+static float g_hann_window[FFT_SIZE];
+
+/* --- FFT reelle CMSIS-DSP : instance initialisee une fois, buffers de travail --- */
+static arm_rfft_fast_instance_f32 g_rfft_instance;
+static float g_fft_work[FFT_SIZE];   /* echantillons fenetres ; ecrase (scratch) par arm_rfft_fast_f32 */
+static float g_fft_out[FFT_SIZE];    /* spectre complexe empaquete, format CMSIS (voir plus bas) */
+
+static float g_magnitudes_db[NUM_BINS]; /* seule la moitie 0..Fe/2 est conservee */
+static float g_peak_freq_hz = 0.0f;
+
+static void AudioAnalysis_BuildTables(void)
+{
+    for (uint32_t i = 0; i < FFT_SIZE; i++)
+    {
+        /* Fenetre de Hann : reduit les fuites spectrales dues a la troncature du bloc. */
+        g_hann_window[i] = 0.5f - 0.5f * cosf(2.0f * (float)M_PI * (float)i / (float)(FFT_SIZE - 1U));
+    }
+}
+
+void AudioAnalysis_Init(void)
+{
+    memset(g_capture_buf, 0, sizeof(g_capture_buf));
+    g_capture_fill_idx = 0;
+    g_capture_write_buf = 0;
+    g_capture_ready_buf = 0xFFU;
+    g_analysis_enabled = false;
+
+    memset(g_magnitudes_db, 0, sizeof(g_magnitudes_db));
+
+    AudioAnalysis_BuildTables();
+    arm_rfft_fast_init_f32(&g_rfft_instance, FFT_SIZE);
+}
+
+void AudioAnalysis_PushSample(float sample)
+{
+    if (!g_analysis_enabled)
+    {
+        return;
+    }
+
+    g_capture_buf[g_capture_write_buf][g_capture_fill_idx] = sample;
+    g_capture_fill_idx++;
+
+    if (g_capture_fill_idx >= FFT_SIZE)
+    {
+        g_capture_fill_idx = 0;
+        g_capture_ready_buf = g_capture_write_buf;
+        g_capture_write_buf = 1U - g_capture_write_buf;
+    }
+}
+
+bool AudioAnalysis_Update(void)
+{
+    if (!g_analysis_enabled)
+    {
+        return false;
+    }
+
+    uint8_t ready = g_capture_ready_buf;
+    if (ready == 0xFFU)
+    {
+        return false;
+    }
+    g_capture_ready_buf = 0xFFU;
+
+    for (uint32_t i = 0; i < FFT_SIZE; i++)
+    {
+        g_fft_work[i] = g_capture_buf[ready][i] * g_hann_window[i];
+    }
+
+    /* arm_rfft_fast_f32 (forward, ifftFlag=0) empaquete le spectre d'un signal reel
+     * en NUM_BINS paires {re,im}, sauf la premiere qui contient les deux seules
+     * valeurs reelles (DC et Nyquist) : g_fft_out[0]=X[0] (DC), g_fft_out[1]=X[N/2]
+     * (Nyquist, non utilise ici). Pour k=1..NUM_BINS-1 : re=g_fft_out[2k], im=g_fft_out[2k+1]. */
+    arm_rfft_fast_f32(&g_rfft_instance, g_fft_work, g_fft_out, 0);
+
+    /* Magnitude normalisee (une sinusoide plein-echelle donne ~0dB) puis convertie
+     * en dB, avec un plancher pour eviter log(0). Destine a un affichage visuel,
+     * pas a une mesure calibree. Seule la moitie 0..Fe/2 du spectre est conservee :
+     * le spectre d'un signal reel est symetrique, la seconde moitie n'apporte rien. */
+    /* Recherche du pic en meme temps que le calcul des magnitudes. Le bin 0 (continu,
+     * 0Hz) est ignore : une composante DC ne doit pas etre rapportee comme "frequence
+     * dominante". */
+    uint32_t peak_bin = 1U;
+    float peak_mag = 0.0f;
+
+    for (uint32_t i = 0; i < NUM_BINS; i++)
+    {
+        float re = (i == 0U) ? g_fft_out[0] : g_fft_out[2U * i];
+        float im = (i == 0U) ? 0.0f : g_fft_out[2U * i + 1U];
+        float mag = sqrtf(re * re + im * im) / ((float)FFT_SIZE / 4.0f);
+
+        if (i >= 1U && mag > peak_mag)
+        {
+            peak_mag = mag;
+            peak_bin = i;
+        }
+
+        if (mag < 1.0e-6f)
+        {
+            mag = 1.0e-6f;
+        }
+        g_magnitudes_db[i] = 20.0f * log10f(mag);
+    }
+
+    g_peak_freq_hz = (float)peak_bin * (float)AUDIO_ANALYSIS_SAMPLE_RATE_HZ / (float)FFT_SIZE;
+
+    return true;
+}
+
+const float *AudioAnalysis_GetMagnitudesDb(void)
+{
+    return g_magnitudes_db;
+}
+
+float AudioAnalysis_GetPeakFrequencyHz(void)
+{
+    return g_peak_freq_hz;
+}
+
+void AudioAnalysis_SetEnabled(bool enabled)
+{
+    if (enabled && !g_analysis_enabled)
+    {
+        /* Redemarre une capture propre a chaque activation. */
+        g_capture_fill_idx = 0;
+        g_capture_write_buf = 0;
+        g_capture_ready_buf = 0xFFU;
+    }
+    g_analysis_enabled = enabled;
+}
+
+bool AudioAnalysis_IsEnabled(void)
+{
+    return g_analysis_enabled;
+}

Appli/Core/Src/audio_effects.c

@@ -12,6 +12,7 @@ static FxReverbState     g_reverbState;
 void AudioEffects_Init(void)
 {
     g_params.audio_on_off = false;
+    g_params.master_volume = 0.0f;
     FxOctaver_Init(&g_octaverState, &g_params.octaver);
     FxEqualizer_Init(&g_eqState, &g_params.equalizer);
     FxOverdrive_Init(&g_overdriveState, &g_params.overdrive);
@@ -37,7 +38,7 @@ float AudioEffects_Process(float input)
         return 0.0f;
     }
 
-    return sample;
+    return sample * g_params.master_volume;
 }
 
 AudioEffectsParams *AudioEffects_GetParams(void)

Appli/Core/Src/main.c

@@ -26,6 +26,7 @@
 /* USER CODE BEGIN Includes */
 #include "stm32h7s78_discovery_audio.h"
 #include "audio_effects.h"
+#include "audio_analysis.h"
 #include <string.h>
 /* USER CODE END Includes */
 
@@ -188,6 +189,7 @@ int main(void)
   fifo_read_idx  = 0;
 
   AudioEffects_Init();
+  AudioAnalysis_Init();
 
   sDmaConfig.Address    = (uint32_t)adf_buf;
   sDmaConfig.DataLength = AUDIO_SAMPLES * sizeof(int32_t); /* OCTETS */
@@ -793,6 +795,7 @@ static void push_to_fifo(int32_t raw)
     }
     float sample = adf_sample_to_float(raw);
     sample = AudioEffects_Process(sample);
+    AudioAnalysis_PushSample(sample);
     int16_t s = float_to_pcm16(sample);
     uint32_t idx = fifo_write_idx & (FIFO_SIZE - 1);
     audio_fifo[idx * 2]     = s;

Appli/TouchGFX/CelloEffects.touchgfx

@@ -71,7 +71,7 @@
           {
             "Type": "ButtonWithLabel",
             "Name": "buttonWithLabel1",
-            "Y": 93,
+            "Y": 134,
             "Width": 420,
             "Height": 94,
             "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_pressed.png",
@@ -93,7 +93,7 @@
           {
             "Type": "ButtonWithLabel",
             "Name": "buttonWithLabel2",
-            "Y": 281,
+            "Y": 322,
             "Width": 420,
             "Height": 94,
             "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_pressed.png",
@@ -116,7 +116,7 @@
             "Type": "ButtonWithLabel",
             "Name": "buttonWithLabel3",
             "X": 380,
-            "Y": 281,
+            "Y": 322,
             "Width": 420,
             "Height": 94,
             "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_pressed.png",
@@ -138,7 +138,7 @@
           {
             "Type": "ButtonWithLabel",
             "Name": "buttonWithLabel4",
-            "Y": 187,
+            "Y": 228,
             "Width": 420,
             "Height": 94,
             "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_pressed.png",
@@ -161,7 +161,7 @@
             "Type": "ButtonWithLabel",
             "Name": "buttonWithLabel5",
             "X": 380,
-            "Y": 187,
+            "Y": 228,
             "Width": 420,
             "Height": 94,
             "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_pressed.png",
@@ -184,7 +184,7 @@
             "Type": "ButtonWithLabel",
             "Name": "buttonWithLabel6",
             "X": 380,
-            "Y": 93,
+            "Y": 134,
             "Width": 420,
             "Height": 94,
             "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_pressed.png",
@@ -203,16 +203,67 @@
             "TextRotation": "0",
             "Preset": "glass_theme\\presets\\button\\regular\\height_50\\large_rounded_normal.json"
           },
+          {
+            "Type": "ButtonWithLabel",
+            "Name": "buttonWithLabel7",
+            "X": 190,
+            "Y": 396,
+            "Width": 420,
+            "Height": 94,
+            "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_pressed.png",
+            "Released": "__generated\\glass_theme_images_widgets_button_regular_height_50_large_rounded_normal.png",
+            "TextId": "OSCILLO",
+            "ReleasedColor": {
+              "Red": 230,
+              "Green": 214,
+              "Blue": 170
+            },
+            "PressedColor": {
+              "Red": 230,
+              "Green": 214,
+              "Blue": 170
+            },
+            "TextRotation": "0",
+            "Preset": "glass_theme\\presets\\button\\regular\\height_50\\large_rounded_normal.json"
+          },
           {
             "Type": "ToggleButton",
             "Name": "toggleButton1",
-            "X": 118,
+            "X": 135,
-            "Y": 22,
+            "Y": 18,
             "Width": 170,
             "Height": 60,
             "Pressed": "__generated\\glass_theme_images_widgets_togglebutton_large_rounded_text_on_active.png",
             "Released": "__generated\\glass_theme_images_widgets_togglebutton_large_rounded_text_off_normal.png",
             "Preset": "glass_theme\\presets\\togglebutton\\large\\rounded_active_text.json"
+          },
+          {
+            "Type": "Slider",
+            "Name": "slider1",
+            "X": 329,
+            "Y": 22,
+            "Width": 456,
+            "Height": 52,
+            "IsHorizontalSlider": true,
+            "BackgroundUnselected": "__generated\\glass_theme_images_widgets_slider_horizontal_thick_track_large.png",
+            "BackgroundSelected": "__generated\\glass_theme_images_widgets_slider_horizontal_thick_filler_large.png",
+            "Indicator": "__generated\\glass_theme_images_widgets_slider_horizontal_thick_rounded_dark.png",
+            "BackgroundX": 28,
+            "BackgroundY": 21,
+            "IndicatorMax": 400,
+            "ValueMax": 100,
+            "Preset": "glass_theme\\presets\\slider\\horizontal\\thick\\large_rounded_dark.json"
+          },
+          {
+            "Type": "ScalableImage",
+            "Name": "scalableImage1",
+            "X": 15,
+            "Y": 4,
+            "Width": 105,
+            "Height": 95,
+            "Filename": "__generated\\icon_theme_images_hardware_headset_50_50_FFFFFF.svg.png",
+            "Alpha": 149,
+            "ScalingAlgorithm": "Bilinear Interpolation"
           }
         ],
         "Interactions": [
@@ -298,6 +349,39 @@
               "ScreenTransitionType": "ScreenTransitionNone",
               "ActionComponent": "Octaver"
             }
+          },
+          {
+            "InteractionName": "Interaction8",
+            "Trigger": {
+              "Type": "TriggerSliderValueChanged",
+              "TriggerComponent": "slider1"
+            },
+            "Action": {
+              "Type": "ActionCustom",
+              "FunctionName": "slider1Changed"
+            }
+          },
+          {
+            "InteractionName": "Interaction9",
+            "Trigger": {
+              "Type": "TriggerSliderValueConfirmed",
+              "TriggerComponent": "slider1"
+            },
+            "Action": {
+              "Type": "ActionNone"
+            }
+          },
+          {
+            "InteractionName": "Interaction10",
+            "Trigger": {
+              "Type": "TriggerClicked",
+              "TriggerComponent": "buttonWithLabel7"
+            },
+            "Action": {
+              "Type": "ActionGotoScreen",
+              "ScreenTransitionType": "ScreenTransitionNone",
+              "ActionComponent": "Oscillo"
+            }
           }
         ]
       },
@@ -2018,6 +2102,198 @@
             }
           }
         ]
+      },
+      {
+        "Name": "Oscillo",
+        "CanvasBufferSize": 12000,
+        "Components": [
+          {
+            "Type": "Image",
+            "Name": "image1",
+            "Y": -1,
+            "Width": 800,
+            "Height": 483,
+            "RelativeFilename": "fondHorlogerie1.png"
+          },
+          {
+            "Type": "Box",
+            "Name": "box1",
+            "Width": 800,
+            "Height": 480,
+            "Color": {
+              "Red": 35,
+              "Green": 24,
+              "Blue": 15
+            },
+            "Alpha": 240
+          },
+          {
+            "Type": "TextArea",
+            "Name": "textArea1",
+            "X": 314,
+            "Y": 26,
+            "Width": 173,
+            "Height": 42,
+            "TextId": "OSCILLO",
+            "TextRotation": "0",
+            "Color": {
+              "Red": 230,
+              "Green": 214,
+              "Blue": 170
+            },
+            "AutoSize": true
+          },
+          {
+            "Type": "ToggleButton",
+            "Name": "toggleButton1",
+            "X": 576,
+            "Y": 20,
+            "Width": 170,
+            "Height": 60,
+            "Pressed": "__generated\\glass_theme_images_widgets_togglebutton_large_round_text_on_active.png",
+            "Released": "__generated\\glass_theme_images_widgets_togglebutton_large_round_text_off_normal.png",
+            "Preset": "glass_theme\\presets\\togglebutton\\large\\round_active_text.json"
+          },
+          {
+            "Type": "ButtonWithLabel",
+            "Name": "buttonWithLabel1",
+            "Width": 225,
+            "Height": 94,
+            "Pressed": "__generated\\glass_theme_images_widgets_button_regular_height_50_small_rounded_pressed.png",
+            "Released": "__generated\\glass_theme_images_widgets_button_regular_height_50_small_rounded_normal.png",
+            "TextId": "BACK",
+            "ReleasedColor": {
+              "Red": 230,
+              "Green": 214,
+              "Blue": 170
+            },
+            "PressedColor": {
+              "Red": 230,
+              "Green": 214,
+              "Blue": 170
+            },
+            "TextRotation": "0",
+            "Preset": "glass_theme\\presets\\button\\regular\\height_50\\small_rounded_normal.json"
+          },
+          {
+            "Type": "StaticGraph",
+            "Name": "graph1",
+            "Y": 94,
+            "Width": 800,
+            "Height": 386,
+            "DataSeed": 676876642,
+            "NumberOfValues": 1024,
+            "MaxX": 24000.0,
+            "PrecisionX": "1",
+            "MaxY": 100.0,
+            "PrecisionY": "1",
+            "XAxisScale": 1.0,
+            "InsertRandomValues": true,
+            "LabelSizeBottom": 63,
+            "LabelSizeLeft": 16,
+            "LabelSizeRight": 16,
+            "PaddingBottom": 17,
+            "GraphDrawers": [
+              {
+                "Type": "LineDrawer",
+                "LineWidth": 2,
+                "FileNameImage": "",
+                "Color": {
+                  "Red": 20,
+                  "Green": 151,
+                  "Blue": 197
+                }
+              }
+            ],
+            "XAxisGrid": {
+              "Type": "GraphGrid",
+              "Color": {
+                "Red": 230,
+                "Green": 214,
+                "Blue": 170
+              },
+              "Interval": 2400.0,
+              "LineWidth": 1
+            },
+            "YAxisGrid": {
+              "Type": "GraphGrid",
+              "Color": {
+                "Red": 230,
+                "Green": 214,
+                "Blue": 170
+              },
+              "Interval": 25.0,
+              "LineWidth": 1
+            },
+            "XAxisLabel": {
+              "Type": "GraphLabel",
+              "Interval": 2400.0,
+              "DecimalSeparator": "Point",
+              "TextColor": {
+                "Red": 230,
+                "Green": 214,
+                "Blue": 170
+              },
+              "TextId": "__SingleUse_2C9Q",
+              "TextRotation": "270",
+              "Position": "Bottom"
+            }
+          },
+          {
+            "Type": "Image",
+            "Name": "image2",
+            "X": 535,
+            "Y": 74,
+            "Width": 264,
+            "Height": 80,
+            "RelativeFilename": "__generated\\glass_theme_images_widgets_button_regular_height_36_medium_round_action.png"
+          },
+          {
+            "Type": "TextArea",
+            "Name": "textArea2",
+            "X": 582,
+            "Y": 104,
+            "Width": 181,
+            "Height": 23,
+            "TextId": "textAreaMax",
+            "TextRotation": "0",
+            "Color": {
+              "Red": 230,
+              "Green": 214,
+              "Blue": 170
+            },
+            "Wildcard1": {
+              "TextId": "__SingleUse_U5V0",
+              "UseBuffer": true,
+              "BufferSize": 10
+            }
+          }
+        ],
+        "Interactions": [
+          {
+            "InteractionName": "Interaction1",
+            "Trigger": {
+              "Type": "TriggerClicked",
+              "TriggerComponent": "buttonWithLabel1"
+            },
+            "Action": {
+              "Type": "ActionGotoScreen",
+              "ScreenTransitionType": "ScreenTransitionNone",
+              "ActionComponent": "Overview"
+            }
+          },
+          {
+            "InteractionName": "Interaction2",
+            "Trigger": {
+              "Type": "TriggerClicked",
+              "TriggerComponent": "toggleButton1"
+            },
+            "Action": {
+              "Type": "ActionCustom",
+              "FunctionName": "toggleClicked"
+            }
+          }
+        ]
       }
     ],
     "CustomContainerDefinitions": [],

Appli/TouchGFX/assets/texts/texts.xml

@@ -14,6 +14,9 @@
       <Text Id="OCTAVER" Alignment="Center" TypographyId="Large">
         <Translation Language="GB">OCTAVER</Translation>
       </Text>
+      <Text Id="OSCILLO" Alignment="Center" TypographyId="Large">
+        <Translation Language="GB">OSCILLO</Translation>
+      </Text>
       <Text Id="OVERDRIVE" Alignment="Center" TypographyId="Large">
         <Translation Language="GB" Alignment="Center">OVERDRIVE</Translation>
       </Text>
@@ -105,10 +108,20 @@
         <Translation Language="GB" Alignment="Center">+2</Translation>
       </Text>
     </TextGroup>
-    <TextGroup Id="Unsorted" />
+    <TextGroup Id="Unsorted">
+      <Text Id="__SingleUse_U5V0" Alignment="Left" TypographyId="Default">
+        <Translation Language="GB">100</Translation>
+      </Text>
+      <Text Id="textAreaMax" Alignment="Left" TypographyId="Default">
+        <Translation Language="GB">Max : &lt;d&gt; Hz</Translation>
+      </Text>
+      <Text Id="__SingleUse_2C9Q" Alignment="Left" TypographyId="Default">
+        <Translation Language="GB">&lt;&gt;</Translation>
+      </Text>
+    </TextGroup>
   </Texts>
   <Typographies>
-    <Typography Id="Default" Font="arial.ttf" Size="20" Bpp="4" IsVector="no" Direction="LTR" FallbackCharacter="?" />
+    <Typography Id="Default" Font="arial.ttf" Size="20" Bpp="4" IsVector="no" Direction="LTR" FallbackCharacter="?" WidgetWildcardCharacters="-., 0123456789" />
     <Typography Id="Large" Font="arial.ttf" Size="40" Bpp="4" IsVector="no" Direction="LTR" FallbackCharacter="?" />
     <Typography Id="Small" Font="arial.ttf" Size="10" Bpp="4" IsVector="no" Direction="LTR" FallbackCharacter="?" />
   </Typographies>

Appli/TouchGFX/gui/include/gui/oscillo_screen/OscilloPresenter.hpp

@@ -0,0 +1,36 @@
+#ifndef OSCILLOPRESENTER_HPP
+#define OSCILLOPRESENTER_HPP
+
+#include <gui/model/ModelListener.hpp>
+#include <mvp/Presenter.hpp>
+
+using namespace touchgfx;
+
+class OscilloView;
+
+class OscilloPresenter : public touchgfx::Presenter, public ModelListener
+{
+public:
+    OscilloPresenter(OscilloView& v);
+
+    /**
+     * The activate function is called automatically when this screen is "switched in"
+     * (ie. made active). Initialization logic can be placed here.
+     */
+    virtual void activate();
+
+    /**
+     * The deactivate function is called automatically when this screen is "switched out"
+     * (ie. made inactive). Teardown functionality can be placed here.
+     */
+    virtual void deactivate();
+
+    virtual ~OscilloPresenter() {}
+
+private:
+    OscilloPresenter();
+
+    OscilloView& view;
+};
+
+#endif // OSCILLOPRESENTER_HPP

Appli/TouchGFX/gui/include/gui/oscillo_screen/OscilloView.hpp

@@ -0,0 +1,20 @@
+#ifndef OSCILLOVIEW_HPP
+#define OSCILLOVIEW_HPP
+
+#include <gui_generated/oscillo_screen/OscilloViewBase.hpp>
+#include <gui/oscillo_screen/OscilloPresenter.hpp>
+
+class OscilloView : public OscilloViewBase
+{
+public:
+    OscilloView();
+    virtual ~OscilloView() {}
+    virtual void setupScreen();
+    virtual void tearDownScreen();
+    virtual void handleTickEvent();
+
+    virtual void toggleClicked();
+protected:
+};
+
+#endif // OSCILLOVIEW_HPP

Appli/TouchGFX/gui/include/gui/overview_screen/OverviewView.hpp

@@ -13,6 +13,7 @@ public:
     virtual void tearDownScreen();
 
     virtual void toggleAudioOnOFF();
+    virtual void slider1Changed(int value);
 protected:
 };
 

Appli/TouchGFX/gui/src/oscillo_screen/OscilloPresenter.cpp

@@ -0,0 +1,18 @@
+#include <gui/oscillo_screen/OscilloView.hpp>
+#include <gui/oscillo_screen/OscilloPresenter.hpp>
+
+OscilloPresenter::OscilloPresenter(OscilloView& v)
+    : view(v)
+{
+
+}
+
+void OscilloPresenter::activate()
+{
+
+}
+
+void OscilloPresenter::deactivate()
+{
+
+}

Appli/TouchGFX/gui/src/oscillo_screen/OscilloView.cpp

@@ -0,0 +1,59 @@
+#include <gui/oscillo_screen/OscilloView.hpp>
+#include <audio_analysis.h>
+#include <touchgfx/Unicode.hpp>
+
+OscilloView::OscilloView()
+{
+}
+
+void OscilloView::setupScreen()
+{
+    OscilloViewBase::setupScreen();
+    toggleButton1.forceState(AudioAnalysis_IsEnabled());
+
+    /* Echelle du graphe en dB (affichage uniquement, pas une mesure calibree) :
+     * de -80dB (proche du plancher de bruit numerique) a +5dB de marge au-dessus
+     * du 0dB nominal. */
+    graph1.setGraphRangeY(-80.0f, 5.0f);
+
+    /* Axe X en Hz, de 0 a Fe/2 (24kHz) : ce graphe (statique, points X/Y explicites,
+     * contrairement au precedent DynamicGraph a increment X automatique) recoit
+     * directement la frequence de chaque bin avec addDataPoint(x, y). */
+    graph1.setGraphRangeX(0.0f, (float)AUDIO_ANALYSIS_SAMPLE_RATE_HZ / 2.0f);
+}
+
+void OscilloView::tearDownScreen()
+{
+    OscilloViewBase::tearDownScreen();
+}
+
+void OscilloView::handleTickEvent()
+{
+    OscilloViewBase::handleTickEvent();
+
+    if (!AudioAnalysis_IsEnabled())
+    {
+        return;
+    }
+
+    if (AudioAnalysis_Update())
+    {
+        const float *magnitudesDb = AudioAnalysis_GetMagnitudesDb();
+        const float binHz = (float)AUDIO_ANALYSIS_SAMPLE_RATE_HZ / (float)AUDIO_ANALYSIS_FFT_SIZE;
+
+        graph1.clear();
+        for (int i = 0; i < (int)AUDIO_ANALYSIS_NUM_BINS; i++)
+        {
+            graph1.addDataPoint((float)i * binHz, magnitudesDb[i]);
+        }
+
+        touchgfx::Unicode::snprintf(textArea2Buffer, TEXTAREA2_SIZE, "%d", (int)AudioAnalysis_GetPeakFrequencyHz());
+        textArea2.setWildcard(textArea2Buffer);
+        textArea2.invalidate();
+    }
+}
+
+void OscilloView::toggleClicked()
+{
+    AudioAnalysis_SetEnabled(toggleButton1.getState());
+}

Appli/TouchGFX/gui/src/overview_screen/OverviewView.cpp

@@ -10,6 +10,7 @@ void OverviewView::setupScreen()
 {
     OverviewViewBase::setupScreen();
     toggleButton1.forceState(AudioEffects_GetParams()->audio_on_off);
+    slider1.setValue((int16_t)(AudioEffects_GetParams()->master_volume * 100.0f));
 }
 
 void OverviewView::tearDownScreen()
@@ -21,3 +22,15 @@ void OverviewView::toggleAudioOnOFF()
 {
     AudioEffects_GetParams()->audio_on_off = toggleButton1.getState();
 }
+
+void OverviewView::slider1Changed(int value)
+{
+    AudioEffects_GetParams()->master_volume = value / 100.0f;
+
+    /* Le volume pilote l'etat marche/arret (0 = off, non nul = on), mais pas
+     * l'inverse : agir sur le toggle ne doit pas modifier le volume. */
+    bool en = (value != 0);
+    AudioEffects_GetParams()->audio_on_off = en;
+    toggleButton1.forceState(en);
+    toggleButton1.invalidate();
+}

Drivers/CMSIS/DSP/Include/arm_common_tables.h

@@ -0,0 +1,539 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_common_tables.h
+ * Description:  Extern declaration for common tables
+ *
+ * @version  V1.10.0
+ * @date     08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_COMMON_TABLES_H
+#define _ARM_COMMON_TABLES_H
+
+#include "arm_math_types.h"
+#include "dsp/fast_math_functions.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+  /* Double Precision Float CFFT twiddles */
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024)
+    extern const uint16_t armBitRevTable[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_16)
+    extern const uint64_t twiddleCoefF64_16[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_32)
+    extern const uint64_t twiddleCoefF64_32[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_64)
+    extern const uint64_t twiddleCoefF64_64[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_128)
+    extern const uint64_t twiddleCoefF64_128[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_256)
+    extern const uint64_t twiddleCoefF64_256[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_512)
+    extern const uint64_t twiddleCoefF64_512[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_1024)
+    extern const uint64_t twiddleCoefF64_1024[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_2048)
+    extern const uint64_t twiddleCoefF64_2048[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F64_4096)
+    extern const uint64_t twiddleCoefF64_4096[8192];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16)
+    extern const float32_t twiddleCoef_16[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
+    extern const float32_t twiddleCoef_32[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64)
+    extern const float32_t twiddleCoef_64[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+    extern const float32_t twiddleCoef_128[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256)
+    extern const float32_t twiddleCoef_256[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
+    extern const float32_t twiddleCoef_512[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024)
+    extern const float32_t twiddleCoef_1024[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
+    extern const float32_t twiddleCoef_2048[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)
+    extern const float32_t twiddleCoef_4096[8192];
+    #define twiddleCoef twiddleCoef_4096
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  /* Q31 */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16)
+    extern const q31_t twiddleCoef_16_q31[24];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
+    extern const q31_t twiddleCoef_32_q31[48];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64)
+    extern const q31_t twiddleCoef_64_q31[96];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
+    extern const q31_t twiddleCoef_128_q31[192];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256)
+    extern const q31_t twiddleCoef_256_q31[384];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
+    extern const q31_t twiddleCoef_512_q31[768];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024)
+    extern const q31_t twiddleCoef_1024_q31[1536];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
+    extern const q31_t twiddleCoef_2048_q31[3072];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096)
+    extern const q31_t twiddleCoef_4096_q31[6144];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16)
+    extern const q15_t twiddleCoef_16_q15[24];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
+    extern const q15_t twiddleCoef_32_q15[48];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64)
+    extern const q15_t twiddleCoef_64_q15[96];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
+    extern const q15_t twiddleCoef_128_q15[192];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256)
+    extern const q15_t twiddleCoef_256_q15[384];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
+    extern const q15_t twiddleCoef_512_q15[768];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024)
+    extern const q15_t twiddleCoef_1024_q15[1536];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
+    extern const q15_t twiddleCoef_2048_q15[3072];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096)
+    extern const q15_t twiddleCoef_4096_q15[6144];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  /* Double Precision Float RFFT twiddles */
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32)
+    extern const uint64_t twiddleCoefF64_rfft_32[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64)
+    extern const uint64_t twiddleCoefF64_rfft_64[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128)
+    extern const uint64_t twiddleCoefF64_rfft_128[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256)
+    extern const uint64_t twiddleCoefF64_rfft_256[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512)
+    extern const uint64_t twiddleCoefF64_rfft_512[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024)
+    extern const uint64_t twiddleCoefF64_rfft_1024[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048)
+    extern const uint64_t twiddleCoefF64_rfft_2048[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096)
+    extern const uint64_t twiddleCoefF64_rfft_4096[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
+    extern const float32_t twiddleCoef_rfft_32[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)
+    extern const float32_t twiddleCoef_rfft_64[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)
+    extern const float32_t twiddleCoef_rfft_128[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)
+    extern const float32_t twiddleCoef_rfft_256[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)
+    extern const float32_t twiddleCoef_rfft_512[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)
+    extern const float32_t twiddleCoef_rfft_1024[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)
+    extern const float32_t twiddleCoef_rfft_2048[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)
+    extern const float32_t twiddleCoef_rfft_4096[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
+  /* Double precision floating-point bit reversal tables */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_16)
+    #define ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH ((uint16_t)12)
+    extern const uint16_t armBitRevIndexTableF64_16[ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_32)
+    #define ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH ((uint16_t)24)
+    extern const uint16_t armBitRevIndexTableF64_32[ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_64)
+    #define ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH ((uint16_t)56)
+    extern const uint16_t armBitRevIndexTableF64_64[ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_128)
+    #define ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH ((uint16_t)112)
+    extern const uint16_t armBitRevIndexTableF64_128[ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_256)
+    #define ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH ((uint16_t)240)
+    extern const uint16_t armBitRevIndexTableF64_256[ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_512)
+    #define ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH ((uint16_t)480)
+    extern const uint16_t armBitRevIndexTableF64_512[ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_1024)
+    #define ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH ((uint16_t)992)
+    extern const uint16_t armBitRevIndexTableF64_1024[ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_2048)
+    #define ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH ((uint16_t)1984)
+    extern const uint16_t armBitRevIndexTableF64_2048[ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT64_4096)
+    #define ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH ((uint16_t)4032)
+    extern const uint16_t armBitRevIndexTableF64_4096[ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  /* floating-point bit reversal tables */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
+    #define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20)
+    extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32)
+    #define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48)
+    extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64)
+    #define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56)
+    extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128)
+    #define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208)
+    extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256)
+    #define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440)
+    extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512)
+    #define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448)
+    extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024)
+    #define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800)
+    extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048)
+    #define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808)
+    extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096)
+    #define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032)
+    extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+
+  /* fixed-point bit reversal tables */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16)
+    #define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12)
+    extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32)
+    #define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24)
+    extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64)
+    #define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56)
+    extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128)
+    #define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112)
+    extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256)
+    #define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240)
+    extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512)
+    #define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480)
+    extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024)
+    #define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992)
+    extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048)
+    #define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
+    extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096)
+    #define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
+    extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32)
+    extern const float32_t realCoefA[8192];
+    extern const float32_t realCoefB[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31)
+    extern const q31_t realCoefAQ31[8192];
+    extern const q31_t realCoefBQ31[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15)
+    extern const q15_t realCoefAQ15[8192];
+    extern const q15_t realCoefBQ15[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
+    extern const float32_t Weights_128[256];
+    extern const float32_t cos_factors_128[128];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
+    extern const float32_t Weights_512[1024];
+    extern const float32_t cos_factors_512[512];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
+    extern const float32_t Weights_2048[4096];
+    extern const float32_t cos_factors_2048[2048];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
+    extern const float32_t Weights_8192[16384];
+    extern const float32_t cos_factors_8192[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
+    extern const q15_t WeightsQ15_128[256];
+    extern const q15_t cos_factorsQ15_128[128];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
+    extern const q15_t WeightsQ15_512[1024];
+    extern const q15_t cos_factorsQ15_512[512];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
+    extern const q15_t WeightsQ15_2048[4096];
+    extern const q15_t cos_factorsQ15_2048[2048];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
+    extern const q15_t WeightsQ15_8192[16384];
+    extern const q15_t cos_factorsQ15_8192[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)
+    extern const q31_t WeightsQ31_128[256];
+    extern const q31_t cos_factorsQ31_128[128];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512)
+    extern const q31_t WeightsQ31_512[1024];
+    extern const q31_t cos_factorsQ31_512[512];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048)
+    extern const q31_t WeightsQ31_2048[4096];
+    extern const q31_t cos_factorsQ31_2048[2048];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192)
+    extern const q31_t WeightsQ31_8192[16384];
+    extern const q31_t cos_factorsQ31_8192[8192];
+  #endif
+
+#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15)
+    extern const q15_t armRecipTableQ15[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31)
+    extern const q31_t armRecipTableQ31[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+  /* Tables for Fast Math Sine and Cosine */
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
+    extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
+    extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15)
+    extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+  /* Fast vector sqrt */
+  #if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+     #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
+       extern const q31_t sqrtTable_Q31[256];
+     #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+  #endif 
+
+  /* Accurate scalar sqrt */
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q31) 
+       extern const q31_t sqrt_initial_lut_q31[32];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SQRT_Q15) 
+       extern const q15_t sqrt_initial_lut_q15[16];
+  #endif
+
+  #if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+     #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE)
+       extern const q15_t sqrtTable_Q15[256];
+     #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+  #endif
+
+#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+       extern const float32_t exp_tab[8];
+       extern const float32_t __logf_lut_f32[8];
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+extern const unsigned char hwLUT[256];
+#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /*  ARM_COMMON_TABLES_H */
+

Drivers/CMSIS/DSP/Include/arm_common_tables_f16.h

@@ -0,0 +1,132 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_common_tables_f16.h
+ * Description:  Extern declaration for common tables
+ *
+ * @version  V1.10.0
+ * @date     08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_COMMON_TABLES_F16_H
+#define _ARM_COMMON_TABLES_F16_H
+
+#include "arm_math_types_f16.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+  /* F16 */
+  #if !defined(__CC_ARM) && defined(ARM_FLOAT16_SUPPORTED)
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_16)
+    extern const float16_t twiddleCoefF16_16[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_32)
+    extern const float16_t twiddleCoefF16_32[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_64)
+    extern const float16_t twiddleCoefF16_64[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_128)
+    extern const float16_t twiddleCoefF16_128[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_256)
+    extern const float16_t twiddleCoefF16_256[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_512)
+    extern const float16_t twiddleCoefF16_512[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_1024)
+    extern const float16_t twiddleCoefF16_1024[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_2048)
+    extern const float16_t twiddleCoefF16_2048[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_4096)
+    extern const float16_t twiddleCoefF16_4096[8192];
+    #define twiddleCoefF16 twiddleCoefF16_4096
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+ 
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_32)
+  extern const float16_t twiddleCoefF16_rfft_32[32];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_64)
+  extern const float16_t twiddleCoefF16_rfft_64[64];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_128)
+  extern const float16_t twiddleCoefF16_rfft_128[128];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_256)
+  extern const float16_t twiddleCoefF16_rfft_256[256];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_512)
+  extern const float16_t twiddleCoefF16_rfft_512[512];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_1024)
+  extern const float16_t twiddleCoefF16_rfft_1024[1024];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_2048)
+  extern const float16_t twiddleCoefF16_rfft_2048[2048];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F16_4096)
+  extern const float16_t twiddleCoefF16_rfft_4096[4096];
+  #endif
+
+  #endif /* ARMAC5 */
+    
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+
+#if !defined(__CC_ARM) && defined(ARM_FLOAT16_SUPPORTED)
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+       extern const float16_t exp_tab_f16[8];
+       extern const float16_t __logf_lut_f16[8];
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE) */
+#endif 
+       
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /*  _ARM_COMMON_TABLES_F16_H */
+
+  

Drivers/CMSIS/DSP/Include/arm_const_structs.h

@@ -0,0 +1,86 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_const_structs.h
+ * Description:  Constant structs that are initialized for user convenience.
+ *               For example, some can be given as arguments to the arm_cfft_f32() function.
+ *
+ * @version  V1.10.0
+ * @date     08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_CONST_STRUCTS_H
+#define _ARM_CONST_STRUCTS_H
+
+#include "arm_math_types.h"
+#include "arm_common_tables.h"
+#include "dsp/transform_functions.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len16;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len32;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len64;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len128;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len256;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len512;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048;
+   extern const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096;
+
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;
+
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;
+
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif
+

Drivers/CMSIS/DSP/Include/arm_const_structs_f16.h

@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_const_structs_f16.h
+ * Description:  Constant structs that are initialized for user convenience.
+ *               For example, some can be given as arguments to the arm_cfft_f16() function.
+ *
+ * @version  V1.10.0
+ * @date     08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_CONST_STRUCTS_F16_H
+#define _ARM_CONST_STRUCTS_F16_H
+
+#include "arm_math_types_f16.h"
+#include "arm_common_tables.h"
+#include "arm_common_tables_f16.h"
+#include "dsp/transform_functions_f16.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if !defined(__CC_ARM) && defined(ARM_FLOAT16_SUPPORTED)
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_16) && defined(ARM_TABLE_BITREVIDX_FLT_16))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len16;
+   #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_32) && defined(ARM_TABLE_BITREVIDX_FLT_32))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len32;
+    #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_64) && defined(ARM_TABLE_BITREVIDX_FLT_64))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len64;
+    #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_128) && defined(ARM_TABLE_BITREVIDX_FLT_128))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len128;
+    #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_256) && defined(ARM_TABLE_BITREVIDX_FLT_256))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len256;
+    #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_512) && defined(ARM_TABLE_BITREVIDX_FLT_512))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len512;
+    #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len1024;
+    #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len2048;
+    #endif
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F16_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096))
+   extern const arm_cfft_instance_f16 arm_cfft_sR_f16_len4096;
+  #endif
+#endif
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif

Drivers/CMSIS/DSP/Include/arm_helium_utils.h

@@ -0,0 +1,753 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_helium_utils.h
+ * Description:  Utility functions for Helium development
+ *
+ * @version  V1.10.0
+ * @date     08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_UTILS_HELIUM_H_
+#define _ARM_UTILS_HELIUM_H_
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+/***************************************
+
+Definitions available for MVEF and MVEI
+
+***************************************/
+#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI))  && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define INACTIVELANE            0 /* inactive lane content */
+
+
+#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) */
+
+/***************************************
+
+Definitions available for MVEF only
+
+***************************************/
+#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF))  && !defined(ARM_MATH_AUTOVECTORIZE)
+
+__STATIC_FORCEINLINE float32_t vecAddAcrossF32Mve(float32x4_t in)
+{
+    float32_t acc;
+
+    acc = vgetq_lane(in, 0) + vgetq_lane(in, 1) +
+          vgetq_lane(in, 2) + vgetq_lane(in, 3);
+
+    return acc;
+}
+
+
+
+
+/* newton initial guess */
+#define INVSQRT_MAGIC_F32           0x5f3759df
+#define INV_NEWTON_INIT_F32         0x7EF127EA
+
+
+#define INVSQRT_NEWTON_MVE_F32(invSqrt, xHalf, xStart)\
+{                                                     \
+    float32x4_t tmp;                                  \
+                                                      \
+    /* tmp = xhalf * x * x */                         \
+    tmp = vmulq(xStart, xStart);                      \
+    tmp = vmulq(tmp, xHalf);                          \
+    /* (1.5f - xhalf * x * x) */                      \
+    tmp = vsubq(vdupq_n_f32(1.5f), tmp);              \
+    /* x = x*(1.5f-xhalf*x*x); */                     \
+    invSqrt = vmulq(tmp, xStart);                     \
+}
+#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) */
+
+
+/***************************************
+
+Definitions available for f16 datatype with HW acceleration only
+
+***************************************/
+#if defined(ARM_FLOAT16_SUPPORTED)
+#if defined (ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+__STATIC_FORCEINLINE float16_t vecAddAcrossF16Mve(float16x8_t in)
+{
+    float16x8_t tmpVec;
+    _Float16 acc;
+
+    tmpVec = (float16x8_t) vrev32q_s16((int16x8_t) in);
+    in = vaddq_f16(tmpVec, in);
+    tmpVec = (float16x8_t) vrev64q_s32((int32x4_t) in);
+    in = vaddq_f16(tmpVec, in);
+    acc = (_Float16)vgetq_lane_f16(in, 0) + (_Float16)vgetq_lane_f16(in, 4);
+
+    return acc;
+}
+
+__STATIC_FORCEINLINE float16x8_t __mve_cmplx_sum_intra_vec_f16(
+    float16x8_t   vecIn)
+{
+    float16x8_t   vecTmp, vecOut;
+    uint32_t    tmp;
+
+    vecTmp = (float16x8_t) vrev64q_s32((int32x4_t) vecIn);
+    // TO TRACK : using canonical addition leads to unefficient code generation for f16
+    // vecTmp = vecTmp + vecAccCpx0;
+    /*
+     * Compute
+     *  re0+re1 | im0+im1 | re0+re1 | im0+im1
+     *  re2+re3 | im2+im3 | re2+re3 | im2+im3
+     */
+    vecTmp = vaddq_f16(vecTmp, vecIn);
+    vecOut = vecTmp;
+    /*
+     * shift left, random tmp insertion in bottom
+     */
+    vecOut = vreinterpretq_f16_s32(vshlcq_s32(vreinterpretq_s32_f16(vecOut)   , &tmp, 32));
+    /*
+     * Compute:
+     *    DONTCARE     |    DONTCARE     | re0+re1+re0+re1 |im0+im1+im0+im1
+     * re0+re1+re2+re3 | im0+im1+im2+im3 | re2+re3+re2+re3 |im2+im3+im2+im3
+     */
+    vecOut = vaddq_f16(vecOut, vecTmp);
+    /*
+     * Cmplx sum is in 4rd & 5th f16 elt
+     * return full vector
+     */
+    return vecOut;
+}
+
+
+#define mve_cmplx_sum_intra_r_i_f16(vec, Re, Im)                \
+{                                                               \
+    float16x8_t   vecOut = __mve_cmplx_sum_intra_vec_f16(vec);    \
+    Re = vgetq_lane(vecOut, 4);                                 \
+    Im = vgetq_lane(vecOut, 5);                                 \
+}
+
+__STATIC_FORCEINLINE void mve_cmplx_sum_intra_vec_f16(
+    float16x8_t   vecIn,
+    float16_t  *pOut)
+{
+    float16x8_t   vecOut = __mve_cmplx_sum_intra_vec_f16(vecIn);
+    /*
+     * Cmplx sum is in 4rd & 5th f16 elt
+     * use 32-bit extraction
+     */
+    *(float32_t *) pOut = ((float32x4_t) vecOut)[2];
+}
+
+
+#define INVSQRT_MAGIC_F16           0x59ba      /*  ( 0x1ba = 0x3759df >> 13) */
+
+/* canonical version of INVSQRT_NEWTON_MVE_F16 leads to bad performance */
+#define INVSQRT_NEWTON_MVE_F16(invSqrt, xHalf, xStart)                  \
+{                                                                       \
+    float16x8_t tmp;                                                      \
+                                                                        \
+    /* tmp = xhalf * x * x */                                           \
+    tmp = vmulq(xStart, xStart);                                        \
+    tmp = vmulq(tmp, xHalf);                                            \
+    /* (1.5f - xhalf * x * x) */                                        \
+    tmp = vsubq(vdupq_n_f16((float16_t)1.5), tmp);                      \
+    /* x = x*(1.5f-xhalf*x*x); */                                       \
+    invSqrt = vmulq(tmp, xStart);                                       \
+}
+
+#endif
+#endif 
+
+/***************************************
+
+Definitions available for MVEI and MVEF only
+
+***************************************/
+#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI))  && !defined(ARM_MATH_AUTOVECTORIZE)
+/* Following functions are used to transpose matrix in f32 and q31 cases */
+__STATIC_INLINE arm_status arm_mat_trans_32bit_2x2_mve(
+    uint32_t * pDataSrc,
+    uint32_t * pDataDest)
+{
+    static const uint32x4_t vecOffs = { 0, 2, 1, 3 };
+    /*
+     *
+     * | 0   1 |   =>  |  0   2 |
+     * | 2   3 |       |  1   3 |
+     *
+     */
+    uint32x4_t vecIn = vldrwq_u32((uint32_t const *)pDataSrc);
+    vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs, vecIn);
+
+    return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_trans_32bit_3x3_mve(
+    uint32_t * pDataSrc,
+    uint32_t * pDataDest)
+{
+    const uint32x4_t vecOffs1 = { 0, 3, 6, 1};
+    const uint32x4_t vecOffs2 = { 4, 7, 2, 5};
+    /*
+     *
+     *  | 0   1   2 |       | 0   3   6 |  4 x 32 flattened version | 0   3   6   1 |
+     *  | 3   4   5 |   =>  | 1   4   7 |            =>             | 4   7   2   5 |
+     *  | 6   7   8 |       | 2   5   8 |       (row major)         | 8   .   .   . |
+     *
+     */
+    uint32x4_t vecIn1 = vldrwq_u32((uint32_t const *) pDataSrc);
+    uint32x4_t vecIn2 = vldrwq_u32((uint32_t const *) &pDataSrc[4]);
+
+    vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs1, vecIn1);
+    vstrwq_scatter_shifted_offset_u32(pDataDest, vecOffs2, vecIn2);
+
+    pDataDest[8] = pDataSrc[8];
+
+    return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_trans_32bit_4x4_mve(uint32_t * pDataSrc, uint32_t * pDataDest)
+{
+    /*
+     * 4x4 Matrix transposition
+     * is 4 x de-interleave operation
+     *
+     * 0   1   2   3       0   4   8   12
+     * 4   5   6   7       1   5   9   13
+     * 8   9   10  11      2   6   10  14
+     * 12  13  14  15      3   7   11  15
+     */
+
+    uint32x4x4_t vecIn;
+
+    vecIn = vld4q((uint32_t const *) pDataSrc);
+    vstrwq(pDataDest, vecIn.val[0]);
+    pDataDest += 4;
+    vstrwq(pDataDest, vecIn.val[1]);
+    pDataDest += 4;
+    vstrwq(pDataDest, vecIn.val[2]);
+    pDataDest += 4;
+    vstrwq(pDataDest, vecIn.val[3]);
+
+    return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_INLINE arm_status arm_mat_trans_32bit_generic_mve(
+    uint16_t    srcRows,
+    uint16_t    srcCols,
+    uint32_t  * pDataSrc,
+    uint32_t  * pDataDest)
+{
+    uint32x4_t vecOffs;
+    uint32_t  i;
+    uint32_t  blkCnt;
+    uint32_t const *pDataC;
+    uint32_t *pDataDestR;
+    uint32x4_t vecIn;
+
+    vecOffs = vidupq_u32((uint32_t)0, 1);
+    vecOffs = vecOffs * srcCols;
+
+    i = srcCols;
+    do
+    {
+        pDataC = (uint32_t const *) pDataSrc;
+        pDataDestR = pDataDest;
+
+        blkCnt = srcRows >> 2;
+        while (blkCnt > 0U)
+        {
+            vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs);
+            vstrwq(pDataDestR, vecIn); 
+            pDataDestR += 4;
+            pDataC = pDataC + srcCols * 4;
+            /*
+             * Decrement the blockSize loop counter
+             */
+            blkCnt--;
+        }
+
+        /*
+         * tail
+         */
+        blkCnt = srcRows & 3;
+        if (blkCnt > 0U)
+        {
+            mve_pred16_t p0 = vctp32q(blkCnt);
+            vecIn = vldrwq_gather_shifted_offset_u32(pDataC, vecOffs);
+            vstrwq_p(pDataDestR, vecIn, p0);
+        }
+
+        pDataSrc += 1;
+        pDataDest += srcRows;
+    }
+    while (--i);
+
+    return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_cmplx_trans_32bit(
+    uint16_t    srcRows,
+    uint16_t    srcCols,
+    uint32_t   *pDataSrc,
+    uint16_t    dstRows,
+    uint16_t    dstCols,
+    uint32_t   *pDataDest)
+{
+    uint32_t        i;
+    uint32_t const *pDataC;
+    uint32_t       *pDataRow;
+    uint32_t       *pDataDestR, *pDataDestRow;
+    uint32x4_t      vecOffsRef, vecOffsCur;
+    uint32_t        blkCnt;
+    uint32x4_t      vecIn;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+    /*
+     * Check for matrix mismatch condition
+     */
+    if ((srcRows != dstCols) || (srcCols != dstRows))
+    {
+        /*
+         * Set status as ARM_MATH_SIZE_MISMATCH
+         */
+        return ARM_MATH_SIZE_MISMATCH;
+    }
+#else
+    (void)dstRows;
+    (void)dstCols;
+#endif
+
+    /* 2x2, 3x3 and 4x4 specialization to be added */
+
+    vecOffsRef[0] = 0;
+    vecOffsRef[1] = 1;
+    vecOffsRef[2] = srcCols << 1;
+    vecOffsRef[3] = (srcCols << 1) + 1;
+
+    pDataRow = pDataSrc;
+    pDataDestRow = pDataDest;
+    i = srcCols;
+    do
+    {
+        pDataC = (uint32_t const *) pDataRow;
+        pDataDestR = pDataDestRow;
+        vecOffsCur = vecOffsRef;
+
+        blkCnt = (srcRows * CMPLX_DIM) >> 2;
+        while (blkCnt > 0U)
+        {
+            vecIn = vldrwq_gather_shifted_offset(pDataC, vecOffsCur);
+            vstrwq(pDataDestR, vecIn); 
+            pDataDestR += 4;
+            vecOffsCur = vaddq(vecOffsCur, (srcCols << 2));
+            /*
+             * Decrement the blockSize loop counter
+             */
+             blkCnt--;
+        }
+        /*
+         * tail
+         * (will be merged thru tail predication)
+         */
+        blkCnt = (srcRows * CMPLX_DIM) & 3;
+        if (blkCnt > 0U)
+        {
+            mve_pred16_t p0 = vctp32q(blkCnt);
+            vecIn = vldrwq_gather_shifted_offset(pDataC, vecOffsCur);
+            vstrwq_p(pDataDestR, vecIn, p0);
+        }
+
+        pDataRow += CMPLX_DIM;
+        pDataDestRow += (srcRows * CMPLX_DIM);
+    }
+    while (--i);
+
+    return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_trans_16bit_2x2(uint16_t * pDataSrc, uint16_t * pDataDest)
+{
+    pDataDest[0] = pDataSrc[0];
+    pDataDest[3] = pDataSrc[3];
+    pDataDest[2] = pDataSrc[1];
+    pDataDest[1] = pDataSrc[2];
+
+    return (ARM_MATH_SUCCESS);
+}
+
+__STATIC_INLINE arm_status arm_mat_trans_16bit_3x3_mve(uint16_t * pDataSrc, uint16_t * pDataDest)
+{
+    static const uint16_t stridesTr33[8] = { 0, 3, 6, 1, 4, 7, 2, 5 };
+    uint16x8_t    vecOffs1;
+    uint16x8_t    vecIn1;
+    /*
+     *
+     *  | 0   1   2 |       | 0   3   6 |  8 x 16 flattened version | 0   3   6   1   4   7   2   5 |
+     *  | 3   4   5 | =>    | 1   4   7 |            =>             | 8   .   .   .   .   .   .   . |
+     *  | 6   7   8 |       | 2   5   8 |       (row major)
+     *
+     */
+    vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr33);
+    vecIn1 = vldrhq_u16((uint16_t const *) pDataSrc);
+
+    vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1);
+
+    pDataDest[8] = pDataSrc[8];
+
+    return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_INLINE arm_status arm_mat_trans_16bit_4x4_mve(uint16_t * pDataSrc, uint16_t * pDataDest)
+{
+    static const uint16_t stridesTr44_1[8] = { 0, 4, 8, 12, 1, 5, 9, 13 };
+    static const uint16_t stridesTr44_2[8] = { 2, 6, 10, 14, 3, 7, 11, 15 };
+    uint16x8_t    vecOffs1, vecOffs2;
+    uint16x8_t    vecIn1, vecIn2;
+    uint16_t const * pDataSrcVec = (uint16_t const *) pDataSrc;
+
+    /*
+     * 4x4 Matrix transposition
+     *
+     * | 0   1   2   3  |       | 0   4   8   12 |   8 x 16 flattened version
+     * | 4   5   6   7  |  =>   | 1   5   9   13 |   =>      [0   4   8   12  1   5   9   13]
+     * | 8   9   10  11 |       | 2   6   10  14 |           [2   6   10  14  3   7   11  15]
+     * | 12  13  14  15 |       | 3   7   11  15 |
+     */
+
+    vecOffs1 = vldrhq_u16((uint16_t const *) stridesTr44_1);
+    vecOffs2 = vldrhq_u16((uint16_t const *) stridesTr44_2);
+    vecIn1 = vldrhq_u16(pDataSrcVec);
+    pDataSrcVec += 8;
+    vecIn2 = vldrhq_u16(pDataSrcVec);
+
+    vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs1, vecIn1);
+    vstrhq_scatter_shifted_offset_u16(pDataDest, vecOffs2, vecIn2);
+
+
+    return (ARM_MATH_SUCCESS);
+}
+
+
+
+__STATIC_INLINE arm_status arm_mat_trans_16bit_generic(
+    uint16_t    srcRows,
+    uint16_t    srcCols,
+    uint16_t  * pDataSrc,
+    uint16_t  * pDataDest)
+{
+    uint16x8_t    vecOffs;
+    uint32_t        i;
+    uint32_t        blkCnt;
+    uint16_t const *pDataC;
+    uint16_t       *pDataDestR;
+    uint16x8_t    vecIn;
+
+    vecOffs = vidupq_u16((uint32_t)0, 1);
+    vecOffs = vecOffs * srcCols;
+
+    i = srcCols;
+    while(i > 0U)
+    {
+        pDataC = (uint16_t const *) pDataSrc;
+        pDataDestR = pDataDest;
+
+        blkCnt = srcRows >> 3;
+        while (blkCnt > 0U)
+        {
+            vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs);
+            vstrhq_u16(pDataDestR, vecIn); 
+            pDataDestR += 8;
+            pDataC = pDataC + srcCols * 8;
+            /*
+             * Decrement the blockSize loop counter
+             */
+            blkCnt--;
+        }
+
+        /*
+         * tail
+         */
+        blkCnt = srcRows & 7;
+        if (blkCnt > 0U)
+        {
+            mve_pred16_t p0 = vctp16q(blkCnt);
+            vecIn = vldrhq_gather_shifted_offset_u16(pDataC, vecOffs);
+            vstrhq_p_u16(pDataDestR, vecIn, p0);
+        }
+        pDataSrc += 1;
+        pDataDest += srcRows;
+        i--;
+    }
+
+    return (ARM_MATH_SUCCESS);
+}
+
+
+__STATIC_INLINE arm_status arm_mat_cmplx_trans_16bit(
+    uint16_t    srcRows,
+    uint16_t    srcCols,
+    uint16_t   *pDataSrc,
+    uint16_t    dstRows,
+    uint16_t    dstCols,
+    uint16_t   *pDataDest)
+{
+    static const uint16_t loadCmplxCol[8] = { 0, 0, 1, 1, 2, 2, 3, 3 };
+    int             i;
+    uint16x8_t    vecOffsRef, vecOffsCur;
+    uint16_t const *pDataC;
+    uint16_t       *pDataRow;
+    uint16_t       *pDataDestR, *pDataDestRow;
+    uint32_t        blkCnt;
+    uint16x8_t    vecIn;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+    /*
+     * Check for matrix mismatch condition
+     */
+    if ((srcRows != dstCols) || (srcCols != dstRows))
+    {
+        /*
+         * Set status as ARM_MATH_SIZE_MISMATCH
+         */
+        return ARM_MATH_SIZE_MISMATCH;
+    }
+#else
+    (void)dstRows;
+    (void)dstCols;
+#endif
+
+    /*
+     * 2x2, 3x3 and 4x4 specialization to be added
+     */
+
+
+    /*
+     * build  [0, 1, 2xcol, 2xcol+1, 4xcol, 4xcol+1, 6xcol, 6xcol+1]
+     */
+    vecOffsRef = vldrhq_u16((uint16_t const *) loadCmplxCol);
+    vecOffsRef = vmulq(vecOffsRef, (uint16_t) (srcCols * CMPLX_DIM))
+                    + viwdupq_u16((uint32_t)0, (uint16_t) 2, 1);
+
+    pDataRow = pDataSrc;
+    pDataDestRow = pDataDest;
+    i = srcCols;
+    do
+    {
+        pDataC = (uint16_t const *) pDataRow;
+        pDataDestR = pDataDestRow;
+        vecOffsCur = vecOffsRef;
+
+        blkCnt = (srcRows * CMPLX_DIM) >> 3;
+        while (blkCnt > 0U)
+        {
+            vecIn = vldrhq_gather_shifted_offset(pDataC, vecOffsCur);
+            vstrhq(pDataDestR, vecIn);  
+            pDataDestR+= 8; // VEC_LANES_U16
+            vecOffsCur = vaddq(vecOffsCur, (srcCols << 3));
+            /*
+             * Decrement the blockSize loop counter
+             */
+            blkCnt--;
+        }
+        /*
+         * tail
+         * (will be merged thru tail predication)
+         */
+        blkCnt = (srcRows * CMPLX_DIM) & 0x7;
+        if (blkCnt > 0U)
+        {
+            mve_pred16_t p0 = vctp16q(blkCnt);
+            vecIn = vldrhq_gather_shifted_offset(pDataC, vecOffsCur);
+            vstrhq_p(pDataDestR, vecIn, p0);
+        }
+
+        pDataRow += CMPLX_DIM;
+        pDataDestRow += (srcRows * CMPLX_DIM);
+    }
+    while (--i);
+
+    return (ARM_MATH_SUCCESS);
+}
+#endif /* MVEF and MVEI */
+
+/***************************************
+
+Definitions available for MVEI only
+
+***************************************/
+#if (defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI))  && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_common_tables.h"
+
+#define MVE_ASRL_SAT16(acc, shift)          ((sqrshrl_sat48(acc, -(32-shift)) >> 32) & 0xffffffff)
+#define MVE_ASRL_SAT32(acc, shift)          ((sqrshrl(acc, -(32-shift)) >> 32) & 0xffffffff)
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q31_MVE)
+__STATIC_INLINE q31x4_t FAST_VSQRT_Q31(q31x4_t vecIn)
+{
+    q63x2_t         vecTmpLL;
+    q31x4_t         vecTmp0, vecTmp1;
+    q31_t           scale;
+    q63_t           tmp64;
+    q31x4_t         vecNrm, vecDst, vecIdx, vecSignBits;
+
+
+    vecSignBits = vclsq(vecIn);
+    vecSignBits = vbicq_n_s32(vecSignBits, 1);
+    /*
+     * in = in << no_of_sign_bits;
+     */
+    vecNrm = vshlq(vecIn, vecSignBits);
+    /*
+     * index = in >> 24;
+     */
+    vecIdx = vecNrm >> 24;
+    vecIdx = vecIdx << 1;
+
+    vecTmp0 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, (uint32x4_t)vecIdx);
+
+    vecIdx = vecIdx + 1;
+
+    vecTmp1 = vldrwq_gather_shifted_offset_s32(sqrtTable_Q31, (uint32x4_t)vecIdx);
+
+    vecTmp1 = vqrdmulhq(vecTmp1, vecNrm);
+    vecTmp0 = vecTmp0 - vecTmp1;
+    vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0);
+    vecTmp1 = vqrdmulhq(vecNrm, vecTmp1);
+    vecTmp1 = vdupq_n_s32(0x18000000) - vecTmp1;
+    vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1);
+    vecTmpLL = vmullbq_int(vecNrm, vecTmp0);
+
+    /*
+     * scale elements 0, 2
+     */
+    scale = 26 + (vecSignBits[0] >> 1);
+    tmp64 = asrl(vecTmpLL[0], scale);
+    vecDst[0] = (q31_t) tmp64;
+
+    scale = 26 + (vecSignBits[2] >> 1);
+    tmp64 = asrl(vecTmpLL[1], scale);
+    vecDst[2] = (q31_t) tmp64;
+
+    vecTmpLL = vmulltq_int(vecNrm, vecTmp0);
+
+    /*
+     * scale elements 1, 3
+     */
+    scale = 26 + (vecSignBits[1] >> 1);
+    tmp64 = asrl(vecTmpLL[0], scale);
+    vecDst[1] = (q31_t) tmp64;
+
+    scale = 26 + (vecSignBits[3] >> 1);
+    tmp64 = asrl(vecTmpLL[1], scale);
+    vecDst[3] = (q31_t) tmp64;
+    /*
+     * set negative values to 0
+     */
+    vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s32(vecIn, 0));
+
+    return vecDst;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_FAST_SQRT_Q15_MVE)
+__STATIC_INLINE q15x8_t FAST_VSQRT_Q15(q15x8_t vecIn)
+{
+    q31x4_t         vecTmpLev, vecTmpLodd, vecSignL;
+    q15x8_t         vecTmp0, vecTmp1;
+    q15x8_t         vecNrm, vecDst, vecIdx, vecSignBits;
+
+    vecDst = vuninitializedq_s16();
+
+    vecSignBits = vclsq(vecIn);
+    vecSignBits = vbicq_n_s16(vecSignBits, 1);
+    /*
+     * in = in << no_of_sign_bits;
+     */
+    vecNrm = vshlq(vecIn, vecSignBits);
+
+    vecIdx = vecNrm >> 8;
+    vecIdx = vecIdx << 1;
+
+    vecTmp0 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, (uint16x8_t)vecIdx);
+
+    vecIdx = vecIdx + 1;
+
+    vecTmp1 = vldrhq_gather_shifted_offset_s16(sqrtTable_Q15, (uint16x8_t)vecIdx);
+
+    vecTmp1 = vqrdmulhq(vecTmp1, vecNrm);
+    vecTmp0 = vecTmp0 - vecTmp1;
+    vecTmp1 = vqrdmulhq(vecTmp0, vecTmp0);
+    vecTmp1 = vqrdmulhq(vecNrm, vecTmp1);
+    vecTmp1 = vdupq_n_s16(0x1800) - vecTmp1;
+    vecTmp0 = vqrdmulhq(vecTmp0, vecTmp1);
+
+    vecSignBits = vecSignBits >> 1;
+
+    vecTmpLev = vmullbq_int(vecNrm, vecTmp0);
+    vecTmpLodd = vmulltq_int(vecNrm, vecTmp0);
+
+    vecTmp0 = vecSignBits + 10;
+    /*
+     * negate sign to apply register based vshl
+     */
+    vecTmp0 = -vecTmp0;
+
+    /*
+     * shift even elements
+     */
+    vecSignL = vmovlbq(vecTmp0);
+    vecTmpLev = vshlq(vecTmpLev, vecSignL);
+    /*
+     * shift odd elements
+     */
+    vecSignL = vmovltq(vecTmp0);
+    vecTmpLodd = vshlq(vecTmpLodd, vecSignL);
+    /*
+     * merge and narrow odd and even parts
+     */
+    vecDst = vmovnbq_s32(vecDst, vecTmpLev);
+    vecDst = vmovntq_s32(vecDst, vecTmpLodd);
+    /*
+     * set negative values to 0
+     */
+    vecDst = vdupq_m(vecDst, 0, vcmpltq_n_s16(vecIn, 0));
+
+    return vecDst;
+}
+#endif
+
+#endif /* defined (ARM_MATH_HELIUM) || defined(ARM_MATH_MVEI) */
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif

Drivers/CMSIS/DSP/Include/arm_math.h

@@ -0,0 +1,236 @@
+/******************************************************************************
+ * @file     arm_math.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/**
+   \mainpage CMSIS DSP Software Library
+   *
+   * \section intro Introduction
+   *
+   * This user manual describes the CMSIS DSP software library,
+   * a suite of common signal processing functions for use on Cortex-M and Cortex-A processor 
+   * based devices.
+   *
+   * The library is divided into a number of functions each covering a specific category:
+   * - Basic math functions
+   * - Fast math functions
+   * - Complex math functions
+   * - Filtering functions
+   * - Matrix functions
+   * - Transform functions
+   * - Motor control functions
+   * - Statistical functions
+   * - Support functions
+   * - Interpolation functions
+   * - Support Vector Machine functions (SVM)
+   * - Bayes classifier functions
+   * - Distance functions
+   * - Quaternion functions
+   *
+   * The library has generally separate functions for operating on 8-bit integers, 16-bit integers,
+   * 32-bit integer and 32-bit floating-point values.
+   *
+   * The library is providing vectorized versions of most algorthms for Helium
+   * and of most f32 algorithms for Neon.
+   *
+   * When using a vectorized version, provide a little bit of padding after the end of
+   * a buffer (3 words) because the vectorized code may read a little bit after the end
+   * of a buffer. You don't have to modify your buffers but just ensure that the
+   * end of buffer + padding is not outside of a memory region.
+   *
+   * \section using Using the Library
+   *
+   * The library is released in source form. It is strongly advised to compile the library using -Ofast to
+   * have the best performances.
+   *
+   * The library functions are declared in the public file <code>arm_math.h</code> which is placed in the <code>Include</code> folder.
+   * Simply include this file. If you don't want to include everything, you can also rely
+   * on headers in Include/dsp folder and use only what you need.
+   *
+   * \section example Examples
+   *
+   * The library ships with a number of examples which demonstrate how to use the library functions.
+   *
+   * \section toolchain Toolchain Support
+   *
+   * The library is now tested on Fast Models building with cmake.
+   * Core M0, M4, M7, M33, M55, A32 are tested.
+   *
+   *
+   * \section preprocessor Preprocessor Macros
+   *
+   * Each library project have different preprocessor macros.
+   *
+   * - ARM_MATH_BIG_ENDIAN:
+   *
+   * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.
+   *
+   * - ARM_MATH_MATRIX_CHECK:
+   *
+   * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices
+   *
+   * - ARM_MATH_ROUNDING:
+   *
+   * Define macro ARM_MATH_ROUNDING for rounding on support functions
+   *
+   * - ARM_MATH_LOOPUNROLL:
+   *
+   * Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions
+   *
+   * - ARM_MATH_NEON:
+   *
+   * Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions.
+   * It is not enabled by default when Neon is available because performances are 
+   * dependent on the compiler and target architecture.
+   *
+   * - ARM_MATH_NEON_EXPERIMENTAL:
+   *
+   * Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of 
+   * of some DSP functions. Experimental Neon versions currently do not have better
+   * performances than the scalar versions.
+   *
+   * - ARM_MATH_HELIUM:
+   *
+   * It implies the flags ARM_MATH_MVEF and ARM_MATH_MVEI and ARM_MATH_MVE_FLOAT16.
+   *
+   * - ARM_MATH_HELIUM_EXPERIMENTAL:
+   *
+   * Only taken into account when ARM_MATH_MVEF, ARM_MATH_MVEI or ARM_MATH_MVE_FLOAT16 are defined.
+   * Enable some vector versions which may have worse performance than scalar
+   * depending on the core / compiler configuration.
+   *
+   * - ARM_MATH_MVEF:
+   *
+   * Select Helium versions of the f32 algorithms.
+   * It implies ARM_MATH_FLOAT16 and ARM_MATH_MVEI.
+   *
+   * - ARM_MATH_MVEI:
+   *
+   * Select Helium versions of the int and fixed point algorithms.
+   *
+   * - ARM_MATH_MVE_FLOAT16:
+   *
+   * MVE Float16 implementations of some algorithms (Requires MVE extension).
+   *
+   * - DISABLEFLOAT16:
+   *
+   * Disable float16 algorithms when __fp16 is not supported for a
+   * specific compiler / core configuration.
+   * This is only valid for scalar. When vector architecture is
+   * supporting f16 then it can't be disabled.
+   *
+   * - ARM_MATH_AUTOVECTORIZE:
+   *
+   * With Helium or Neon, disable the use of vectorized code with C intrinsics
+   * and use pure C instead. The vectorization is then done by the compiler.
+   *
+   * <hr>
+   * \section pack CMSIS-DSP in ARM::CMSIS Pack
+   *
+   * The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories:
+   * |File/Folder                      |Content                                                                 |
+   * |---------------------------------|------------------------------------------------------------------------|
+   * |\b CMSIS\\Documentation\\DSP     | This documentation                                                     |
+   * |\b CMSIS\\DSP\\Examples          | Example projects demonstrating the usage of the library functions      |
+   * |\b CMSIS\\DSP\\Include           | DSP_Lib include files for using and building the lib
+   * |\b CMSIS\\DSP\\PrivateInclude    | DSP_Lib private include files for building the lib                                               |
+   * |\b CMSIS\\DSP\\Lib               | DSP_Lib binaries                                                       |
+   * |\b CMSIS\\DSP\\Source            | DSP_Lib source files                                                   |
+   *
+   * <hr>
+   * \section rev Revision History of CMSIS-DSP
+   * Please refer to \ref ChangeLog_pg.
+   */
+
+
+
+
+
+
+
+
+
+
+
+/**
+ * @defgroup groupExamples Examples
+ */
+
+
+
+
+
+#ifndef _ARM_MATH_H
+#define _ARM_MATH_H
+
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions.h"  
+#include "dsp/interpolation_functions.h"
+#include "dsp/bayes_functions.h"
+#include "dsp/matrix_functions.h"
+#include "dsp/complex_math_functions.h"
+#include "dsp/statistics_functions.h"
+#include "dsp/controller_functions.h"
+#include "dsp/support_functions.h"
+#include "dsp/distance_functions.h"
+#include "dsp/svm_functions.h"
+#include "dsp/fast_math_functions.h"
+#include "dsp/transform_functions.h"
+#include "dsp/filtering_functions.h"
+#include "dsp/quaternion_math_functions.h"
+
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+
+
+//#define TABLE_SPACING_Q31     0x400000
+//#define TABLE_SPACING_Q15     0x80
+
+
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+
+#endif /* _ARM_MATH_H */
+
+/**
+ *
+ * End of file.
+ */

Drivers/CMSIS/DSP/Include/arm_math_f16.h

@@ -0,0 +1,59 @@
+/******************************************************************************
+ * @file     arm_math_f16.h
+ * @brief    Public header file for f16 function of the CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_MATH_F16_H
+#define _ARM_MATH_F16_H
+
+#include "arm_math.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#include "arm_math_types_f16.h"
+#include "dsp/none.h"
+#include "dsp/utils.h"
+#include "dsp/basic_math_functions_f16.h"
+#include "dsp/interpolation_functions_f16.h"
+#include "dsp/bayes_functions_f16.h"
+#include "dsp/matrix_functions_f16.h"
+#include "dsp/complex_math_functions_f16.h"
+#include "dsp/statistics_functions_f16.h"
+#include "dsp/controller_functions_f16.h"
+#include "dsp/support_functions_f16.h"
+#include "dsp/distance_functions_f16.h"
+#include "dsp/svm_functions_f16.h"
+#include "dsp/fast_math_functions_f16.h"
+#include "dsp/transform_functions_f16.h"
+#include "dsp/filtering_functions_f16.h"
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* _ARM_MATH_F16_H */
+
+

Drivers/CMSIS/DSP/Include/arm_math_memory.h

@@ -0,0 +1,206 @@
+/******************************************************************************
+ * @file     arm_math_memory.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_MATH_MEMORY_H_
+
+#define _ARM_MATH_MEMORY_H_
+
+#include "arm_math_types.h"
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/**
+  @brief definition to read/write two 16 bit values.
+  @deprecated
+ */
+#if   defined ( __CC_ARM )
+  #define __SIMD32_TYPE int32_t __packed
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __GNUC__ )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __ICCARM__ )
+  #define __SIMD32_TYPE int32_t __packed
+#elif defined ( __TI_ARM__ )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __CSMC__ )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __TASKING__ )
+  #define __SIMD32_TYPE __un(aligned) int32_t
+#elif defined(_MSC_VER )
+  #define __SIMD32_TYPE int32_t
+#else
+  #error Unknown compiler
+#endif
+
+#define __SIMD32(addr)        (*(__SIMD32_TYPE **) & (addr))
+#define __SIMD32_CONST(addr)  ( (__SIMD32_TYPE * )   (addr))
+#define _SIMD32_OFFSET(addr)  (*(__SIMD32_TYPE * )   (addr))
+#define __SIMD64(addr)        (*(      int64_t **) & (addr))
+
+
+/* SIMD replacement */
+
+
+/**
+  @brief         Read 2 Q15 from Q15 pointer.
+  @param[in]     pQ15      points to input value
+  @return        Q31 value
+ */
+__STATIC_FORCEINLINE q31_t read_q15x2 (
+  q15_t const * pQ15)
+{
+  q31_t val;
+
+#ifdef __ARM_FEATURE_UNALIGNED
+  memcpy (&val, pQ15, 4);
+#else
+  val = (pQ15[1] << 16) | (pQ15[0] & 0x0FFFF) ;
+#endif
+
+  return (val);
+}
+
+/**
+  @brief         Read 2 Q15 from Q15 pointer and increment pointer afterwards.
+  @param[in]     pQ15      points to input value
+  @return        Q31 value
+ */
+#define read_q15x2_ia(pQ15) read_q15x2((*(pQ15) += 2) - 2)
+
+/**
+  @brief         Read 2 Q15 from Q15 pointer and decrement pointer afterwards.
+  @param[in]     pQ15      points to input value
+  @return        Q31 value
+ */
+#define read_q15x2_da(pQ15) read_q15x2((*(pQ15) -= 2) + 2)
+
+/**
+  @brief         Write 2 Q15 to Q15 pointer and increment pointer afterwards.
+  @param[in]     pQ15      points to input value
+  @param[in]     value     Q31 value
+  @return        none
+ */
+__STATIC_FORCEINLINE void write_q15x2_ia (
+  q15_t ** pQ15,
+  q31_t    value)
+{
+  q31_t val = value;
+#ifdef __ARM_FEATURE_UNALIGNED
+  memcpy (*pQ15, &val, 4);
+#else
+  (*pQ15)[0] = (q15_t)(val & 0x0FFFF);
+  (*pQ15)[1] = (q15_t)((val >> 16) & 0x0FFFF);
+#endif
+
+ *pQ15 += 2;
+}
+
+/**
+  @brief         Write 2 Q15 to Q15 pointer.
+  @param[in]     pQ15      points to input value
+  @param[in]     value     Q31 value
+  @return        none
+ */
+__STATIC_FORCEINLINE void write_q15x2 (
+  q15_t * pQ15,
+  q31_t   value)
+{
+  q31_t val = value;
+
+#ifdef __ARM_FEATURE_UNALIGNED
+  memcpy (pQ15, &val, 4);
+#else
+  pQ15[0] = (q15_t)(val & 0x0FFFF);
+  pQ15[1] = (q15_t)(val >> 16);
+#endif
+}
+
+
+/**
+  @brief         Read 4 Q7 from Q7 pointer
+  @param[in]     pQ7       points to input value
+  @return        Q31 value
+ */
+__STATIC_FORCEINLINE q31_t read_q7x4 (
+  q7_t const * pQ7)
+{
+  q31_t val;
+
+#ifdef __ARM_FEATURE_UNALIGNED
+  memcpy (&val, pQ7, 4);
+#else
+  val =((pQ7[3] & 0x0FF) << 24)  | ((pQ7[2] & 0x0FF) << 16)  | ((pQ7[1] & 0x0FF) << 8)  | (pQ7[0] & 0x0FF);
+#endif 
+  return (val);
+}
+
+/**
+  @brief         Read 4 Q7 from Q7 pointer and increment pointer afterwards.
+  @param[in]     pQ7       points to input value
+  @return        Q31 value
+ */
+#define read_q7x4_ia(pQ7) read_q7x4((*(pQ7) += 4) - 4)
+
+/**
+  @brief         Read 4 Q7 from Q7 pointer and decrement pointer afterwards.
+  @param[in]     pQ7       points to input value
+  @return        Q31 value
+ */
+#define read_q7x4_da(pQ7) read_q7x4((*(pQ7) -= 4) + 4)
+
+/**
+  @brief         Write 4 Q7 to Q7 pointer and increment pointer afterwards.
+  @param[in]     pQ7       points to input value
+  @param[in]     value     Q31 value
+  @return        none
+ */
+__STATIC_FORCEINLINE void write_q7x4_ia (
+  q7_t ** pQ7,
+  q31_t   value)
+{
+  q31_t val = value;
+#ifdef __ARM_FEATURE_UNALIGNED
+  memcpy (*pQ7, &val, 4);
+#else
+  (*pQ7)[0] = (q7_t)(val & 0x0FF);
+  (*pQ7)[1] = (q7_t)((val >> 8) & 0x0FF);
+  (*pQ7)[2] = (q7_t)((val >> 16) & 0x0FF);
+  (*pQ7)[3] = (q7_t)((val >> 24) & 0x0FF);
+
+#endif
+  *pQ7 += 4;
+}
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /*ifndef _ARM_MATH_MEMORY_H_ */

Drivers/CMSIS/DSP/Include/arm_math_types.h

@@ -0,0 +1,616 @@
+/******************************************************************************
+ * @file     arm_math_types.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_MATH_TYPES_H_
+
+#define _ARM_MATH_TYPES_H_
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/* Compiler specific diagnostic adjustment */
+#if   defined ( __CC_ARM )
+
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+
+#elif defined ( __APPLE_CC__ )
+  #pragma GCC diagnostic ignored "-Wold-style-cast"
+
+#elif defined ( __GNUC__ )
+  #pragma GCC diagnostic push
+  #pragma GCC diagnostic ignored "-Wsign-conversion"
+  #pragma GCC diagnostic ignored "-Wconversion"
+  #pragma GCC diagnostic ignored "-Wunused-parameter"
+
+#elif defined ( __ICCARM__ )
+
+#elif defined ( __TI_ARM__ )
+
+#elif defined ( __CSMC__ )
+
+#elif defined ( __TASKING__ )
+
+#elif defined ( _MSC_VER )
+
+#else
+  #error Unknown compiler
+#endif
+
+
+/* Included for instrinsics definitions */
+#if defined (_MSC_VER ) 
+#include <stdint.h>
+#define __STATIC_FORCEINLINE static __forceinline
+#define __STATIC_INLINE static __inline
+#define __ALIGNED(x) __declspec(align(x))
+#elif defined ( __APPLE_CC__ )
+#include <stdint.h>
+#define  __ALIGNED(x) __attribute__((aligned(x)))
+#define __STATIC_FORCEINLINE static inline __attribute__((always_inline)) 
+#define __STATIC_INLINE static inline
+#elif defined (__GNUC_PYTHON__)
+#include <stdint.h>
+#define  __ALIGNED(x) __attribute__((aligned(x)))
+#define __STATIC_FORCEINLINE static inline __attribute__((always_inline)) 
+#define __STATIC_INLINE static inline
+
+#else
+#include "cmsis_compiler.h"
+#endif
+
+
+
+#include <string.h>
+#include <math.h>
+#include <float.h>
+#include <limits.h>
+
+/* evaluate ARM DSP feature */
+#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1))
+  #define ARM_MATH_DSP                   1
+#endif
+
+#if defined(ARM_MATH_NEON)
+  #if defined(_MSC_VER) && defined(_M_ARM64EC)
+    #include <arm64_neon.h>
+  #else
+    #include <arm_neon.h>
+  #endif
+  #if defined(__ARM_FEATURE_FP16_VECTOR_ARITHMETIC) && __ARM_FEATURE_FP16_VECTOR_ARITHMETIC
+    #if !defined(ARM_MATH_NEON_FLOAT16)
+      #define ARM_MATH_NEON_FLOAT16
+    #endif
+  #endif
+#endif
+
+#if !defined(ARM_MATH_AUTOVECTORIZE)
+
+
+#if defined(__ARM_FEATURE_MVE)
+#if __ARM_FEATURE_MVE
+  #if !defined(ARM_MATH_MVEI)
+    #define ARM_MATH_MVEI
+  #endif
+#endif
+
+#if (__ARM_FEATURE_MVE & 2)
+  #if !defined(ARM_MATH_MVEF)
+    #define ARM_MATH_MVEF
+  #endif
+  #if !defined(ARM_MATH_MVE_FLOAT16)
+       #define ARM_MATH_MVE_FLOAT16
+  #endif
+#endif
+
+#endif /*defined(__ARM_FEATURE_MVE)*/
+#endif /*!defined(ARM_MATH_AUTOVECTORIZE)*/
+
+
+#if defined (ARM_MATH_HELIUM)
+  #if !defined(ARM_MATH_MVEF)
+    #define ARM_MATH_MVEF
+  #endif
+
+  #if !defined(ARM_MATH_MVEI)
+    #define ARM_MATH_MVEI
+  #endif
+
+  #if !defined(ARM_MATH_MVE_FLOAT16)
+       #define ARM_MATH_MVE_FLOAT16
+  #endif
+#endif
+
+
+
+#if   defined ( __CC_ARM )
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( __ARM_ARCH_7EM__ )
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("push")         \
+       _Pragma ("O1")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #if defined ( __ARM_ARCH_7EM__ )
+    #define LOW_OPTIMIZATION_EXIT \
+       _Pragma ("pop")
+  #else
+    #define LOW_OPTIMIZATION_EXIT
+  #endif
+
+  /* Enter low optimization region - place directly above function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+  
+#elif defined ( __APPLE_CC__ )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __GNUC__ )
+  #define LOW_OPTIMIZATION_ENTER \
+       __attribute__(( optimize("-O1") ))
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __ICCARM__ )
+  /* Enter low optimization region - place directly above function definition */
+  #if defined ( __ARM_ARCH_7EM__ )
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define LOW_OPTIMIZATION_EXIT
+
+  /* Enter low optimization region - place directly above function definition */
+  #if defined ( __ARM_ARCH_7EM__ )
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __TI_ARM__ )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __CSMC__ )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __TASKING__ )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+       
+#elif defined ( _MSC_VER ) || defined(__GNUC_PYTHON__)
+      #define LOW_OPTIMIZATION_ENTER
+      #define LOW_OPTIMIZATION_EXIT
+      #define IAR_ONLY_LOW_OPTIMIZATION_ENTER 
+      #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+#endif
+
+
+
+/* Compiler specific diagnostic adjustment */
+#if   defined ( __CC_ARM )
+
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+
+#elif defined ( __APPLE_CC__ )
+
+#elif defined ( __GNUC__ )
+#pragma GCC diagnostic pop
+
+#elif defined ( __ICCARM__ )
+
+#elif defined ( __TI_ARM__ )
+
+#elif defined ( __CSMC__ )
+
+#elif defined ( __TASKING__ )
+
+#elif defined ( _MSC_VER )
+
+#else
+  #error Unknown compiler
+#endif
+
+#ifdef   __cplusplus
+}
+#endif
+
+#if defined(__ARM_FEATURE_MVE) && __ARM_FEATURE_MVE
+#include <arm_mve.h>
+#endif
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+ /**
+   * @brief 8-bit fractional data type in 1.7 format.
+   */
+  typedef int8_t q7_t;
+
+  /**
+   * @brief 16-bit fractional data type in 1.15 format.
+   */
+  typedef int16_t q15_t;
+
+  /**
+   * @brief 32-bit fractional data type in 1.31 format.
+   */
+  typedef int32_t q31_t;
+
+  /**
+   * @brief 64-bit fractional data type in 1.63 format.
+   */
+  typedef int64_t q63_t;
+
+  /**
+   * @brief 32-bit floating-point type definition.
+   */
+#if !defined(__ICCARM__) || !(__ARM_FEATURE_MVE & 2)
+  typedef float float32_t;
+#endif
+
+  /**
+   * @brief 64-bit floating-point type definition.
+   */
+  typedef double float64_t;
+
+  /**
+   * @brief vector types
+   */
+#if defined(ARM_MATH_NEON) || (defined (ARM_MATH_MVEI)  && !defined(ARM_MATH_AUTOVECTORIZE))
+  /**
+   * @brief 64-bit fractional 128-bit vector data type in 1.63 format
+   */
+  typedef int64x2_t q63x2_t;
+
+  /**
+   * @brief 32-bit fractional 128-bit vector data type in 1.31 format.
+   */
+  typedef int32x4_t q31x4_t;
+
+  /**
+   * @brief 16-bit fractional 128-bit vector data type with 16-bit alignment in 1.15 format.
+   */
+  typedef __ALIGNED(2) int16x8_t q15x8_t;
+
+ /**
+   * @brief 8-bit fractional 128-bit vector data type with 8-bit alignment in 1.7 format.
+   */
+  typedef __ALIGNED(1) int8x16_t q7x16_t;
+
+    /**
+   * @brief 32-bit fractional 128-bit vector pair data type in 1.31 format.
+   */
+  typedef int32x4x2_t q31x4x2_t;
+
+  /**
+   * @brief 32-bit fractional 128-bit vector quadruplet data type in 1.31 format.
+   */
+  typedef int32x4x4_t q31x4x4_t;
+
+  /**
+   * @brief 16-bit fractional 128-bit vector pair data type in 1.15 format.
+   */
+  typedef int16x8x2_t q15x8x2_t;
+
+  /**
+   * @brief 16-bit fractional 128-bit vector quadruplet data type in 1.15 format.
+   */
+  typedef int16x8x4_t q15x8x4_t;
+
+  /**
+   * @brief 8-bit fractional 128-bit vector pair data type in 1.7 format.
+   */
+  typedef int8x16x2_t q7x16x2_t;
+
+  /**
+   * @brief 8-bit fractional 128-bit vector quadruplet data type in 1.7 format.
+   */
+   typedef int8x16x4_t q7x16x4_t;
+
+  /**
+   * @brief 32-bit fractional data type in 9.23 format.
+   */
+  typedef int32_t q23_t;
+
+  /**
+   * @brief 32-bit fractional 128-bit vector data type in 9.23 format.
+   */
+  typedef int32x4_t q23x4_t;
+
+  /**
+   * @brief 64-bit status 128-bit vector data type.
+   */
+  typedef int64x2_t status64x2_t;
+
+  /**
+   * @brief 32-bit status 128-bit vector data type.
+   */
+  typedef int32x4_t status32x4_t;
+
+  /**
+   * @brief 16-bit status 128-bit vector data type.
+   */
+  typedef int16x8_t status16x8_t;
+
+  /**
+   * @brief 8-bit status 128-bit vector data type.
+   */
+  typedef int8x16_t status8x16_t;
+
+
+#endif
+
+#if defined(ARM_MATH_NEON) || (defined(ARM_MATH_MVEF)  && !defined(ARM_MATH_AUTOVECTORIZE)) /* floating point vector*/
+  /**
+   * @brief 32-bit floating-point 128-bit vector type
+   */
+  typedef float32x4_t f32x4_t;
+
+  /**
+   * @brief 32-bit floating-point 128-bit vector pair data type
+   */
+  typedef float32x4x2_t f32x4x2_t;
+
+  /**
+   * @brief 32-bit floating-point 128-bit vector quadruplet data type
+   */
+  typedef float32x4x4_t f32x4x4_t;
+
+  /**
+   * @brief 32-bit ubiquitous 128-bit vector data type
+   */
+  typedef union _any32x4_t
+  {
+      float32x4_t     f;
+      int32x4_t       i;
+  } any32x4_t;
+
+#endif
+
+#if defined(ARM_MATH_NEON)
+  /**
+   * @brief 32-bit fractional 64-bit vector data type in 1.31 format.
+   */
+  typedef int32x2_t  q31x2_t;
+
+  /**
+   * @brief 16-bit fractional 64-bit vector data type in 1.15 format.
+   */
+  typedef  __ALIGNED(2) int16x4_t q15x4_t;
+
+  /**
+   * @brief 8-bit fractional 64-bit vector data type in 1.7 format.
+   */
+  typedef  __ALIGNED(1) int8x8_t q7x8_t;
+
+  /**
+   * @brief 32-bit float 64-bit vector data type.
+   */
+  typedef float32x2_t  f32x2_t;
+
+  /**
+   * @brief 32-bit floating-point 128-bit vector triplet data type
+   */
+  typedef float32x4x3_t f32x4x3_t;
+
+
+  /**
+   * @brief 32-bit fractional 128-bit vector triplet data type in 1.31 format
+   */
+  typedef int32x4x3_t q31x4x3_t;
+
+  /**
+   * @brief 16-bit fractional 128-bit vector triplet data type in 1.15 format
+   */
+  typedef int16x8x3_t q15x8x3_t;
+
+  /**
+   * @brief 8-bit fractional 128-bit vector triplet data type in 1.7 format
+   */
+  typedef int8x16x3_t q7x16x3_t;
+
+  /**
+   * @brief 32-bit floating-point 64-bit vector pair data type
+   */
+  typedef float32x2x2_t f32x2x2_t;
+
+  /**
+   * @brief 32-bit floating-point 64-bit vector triplet data type
+   */
+  typedef float32x2x3_t f32x2x3_t;
+
+  /**
+   * @brief 32-bit floating-point 64-bit vector quadruplet data type
+   */
+  typedef float32x2x4_t f32x2x4_t;
+
+
+  /**
+   * @brief 32-bit fractional 64-bit vector pair data type in 1.31 format
+   */
+  typedef int32x2x2_t q31x2x2_t;
+
+  /**
+   * @brief 32-bit fractional 64-bit vector triplet data type in 1.31 format
+   */
+  typedef int32x2x3_t q31x2x3_t;
+
+  /**
+   * @brief 32-bit fractional 64-bit vector quadruplet data type in 1.31 format
+   */
+  typedef int32x4x3_t q31x2x4_t;
+
+  /**
+   * @brief 16-bit fractional 64-bit vector pair data type in 1.15 format
+   */
+  typedef int16x4x2_t q15x4x2_t;
+
+  /**
+   * @brief 16-bit fractional 64-bit vector triplet data type in 1.15 format
+   */
+  typedef int16x4x2_t q15x4x3_t;
+
+  /**
+   * @brief 16-bit fractional 64-bit vector quadruplet data type in 1.15 format
+   */
+  typedef int16x4x3_t q15x4x4_t;
+
+  /**
+   * @brief 8-bit fractional 64-bit vector pair data type in 1.7 format
+   */
+  typedef int8x8x2_t q7x8x2_t;
+
+  /**
+   * @brief 8-bit fractional 64-bit vector triplet data type in 1.7 format
+   */
+  typedef int8x8x3_t q7x8x3_t;
+
+  /**
+   * @brief 8-bit fractional 64-bit vector quadruplet data type in 1.7 format
+   */
+  typedef int8x8x4_t q7x8x4_t;
+
+  /**
+   * @brief 32-bit ubiquitous 64-bit vector data type
+   */
+  typedef union _any32x2_t
+  {
+      float32x2_t     f;
+      int32x2_t       i;
+  } any32x2_t;
+
+
+  /**
+   * @brief 32-bit status 64-bit vector data type.
+   */
+  typedef int32x4_t status32x2_t;
+
+  /**
+   * @brief 16-bit status 64-bit vector data type.
+   */
+  typedef int16x8_t status16x4_t;
+
+  /**
+   * @brief 8-bit status 64-bit vector data type.
+   */
+  typedef int8x16_t status8x8_t;
+
+#endif
+
+
+
+
+
+#define F64_MAX   ((float64_t)DBL_MAX)
+#define F32_MAX   ((float32_t)FLT_MAX)
+
+
+
+#define F64_MIN   (-DBL_MAX)
+#define F32_MIN   (-FLT_MAX)
+
+
+
+#define F64_ABSMAX   ((float64_t)DBL_MAX)
+#define F32_ABSMAX   ((float32_t)FLT_MAX)
+
+
+
+#define F64_ABSMIN   ((float64_t)0.0)
+#define F32_ABSMIN   ((float32_t)0.0)
+
+
+#define Q31_MAX   ((q31_t)(0x7FFFFFFFL))
+#define Q15_MAX   ((q15_t)(0x7FFF))
+#define Q7_MAX    ((q7_t)(0x7F))
+#define Q31_MIN   ((q31_t)(0x80000000L))
+#define Q15_MIN   ((q15_t)(0x8000))
+#define Q7_MIN    ((q7_t)(0x80))
+
+#define Q31_ABSMAX   ((q31_t)(0x7FFFFFFFL))
+#define Q15_ABSMAX   ((q15_t)(0x7FFF))
+#define Q7_ABSMAX    ((q7_t)(0x7F))
+#define Q31_ABSMIN   ((q31_t)0)
+#define Q15_ABSMIN   ((q15_t)0)
+#define Q7_ABSMIN    ((q7_t)0)
+
+  /* Dimension C vector space */
+  #define CMPLX_DIM 2
+
+  /**
+   * @brief Error status returned by some functions in the library.
+   */
+
+  typedef enum
+  {
+    ARM_MATH_SUCCESS                 =  0,        /**< No error */
+    ARM_MATH_ARGUMENT_ERROR          = -1,        /**< One or more arguments are incorrect */
+    ARM_MATH_LENGTH_ERROR            = -2,        /**< Length of data buffer is incorrect */
+    ARM_MATH_SIZE_MISMATCH           = -3,        /**< Size of matrices is not compatible with the operation */
+    ARM_MATH_NANINF                  = -4,        /**< Not-a-number (NaN) or infinity is generated */
+    ARM_MATH_SINGULAR                = -5,        /**< Input matrix is singular and cannot be inverted */
+    ARM_MATH_TEST_FAILURE            = -6,        /**< Test Failed */
+    ARM_MATH_DECOMPOSITION_FAILURE   = -7         /**< Decomposition Failed */
+  } arm_status;
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /*ifndef _ARM_MATH_TYPES_H_ */

Drivers/CMSIS/DSP/Include/arm_math_types_f16.h

@@ -0,0 +1,163 @@
+/******************************************************************************
+ * @file     arm_math_types_f16.h
+ * @brief    Public header file for f16 function of the CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_MATH_TYPES_F16_H
+#define _ARM_MATH_TYPES_F16_H
+
+#include "arm_math_types.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if !defined( __CC_ARM )
+
+/**
+ * @brief 16-bit floating-point type definition.
+ * This is already defined in arm_mve.h
+ *
+ * This is not fully supported on ARM AC5.
+ */
+
+/*
+
+Check if the type __fp16 is available.
+If it is not available, f16 version of the kernels
+won't be built.
+
+*/
+#if !(__ARM_FEATURE_MVE & 2)
+  #if !defined(DISABLEFLOAT16)
+    #if defined(__ARM_FP16_FORMAT_IEEE) || defined(__ARM_FP16_FORMAT_ALTERNATIVE)
+      typedef __fp16 float16_t;
+      #define ARM_FLOAT16_SUPPORTED
+    #endif
+  #endif
+#else
+  /* When Vector float16, this flag is always defined and can't be disabled */
+  #define ARM_FLOAT16_SUPPORTED
+#endif
+
+#if defined(ARM_MATH_NEON) || (defined(ARM_MATH_MVEF)  && !defined(ARM_MATH_AUTOVECTORIZE)) /* floating point vector*/
+
+#if defined(ARM_MATH_MVE_FLOAT16) || defined(ARM_MATH_NEON_FLOAT16)
+
+  /**
+   * @brief 16-bit floating-point 128-bit vector data type
+   */
+  typedef __ALIGNED(2) float16x8_t f16x8_t;
+
+  /**
+   * @brief 16-bit floating-point 128-bit vector pair data type
+   */
+  typedef float16x8x2_t f16x8x2_t;
+
+  /**
+   * @brief 16-bit floating-point 128-bit vector quadruplet data type
+   */
+  typedef float16x8x4_t f16x8x4_t;
+
+  /**
+   * @brief 16-bit ubiquitous 128-bit vector data type
+   */
+  typedef union _any16x8_t
+  {
+      float16x8_t     f;
+      int16x8_t       i;
+  } any16x8_t;
+#endif
+
+#endif
+
+#if defined(ARM_MATH_NEON)
+
+
+#if defined(ARM_MATH_NEON_FLOAT16)
+  /**
+   * @brief 16-bit float 64-bit vector data type.
+   */
+  typedef  __ALIGNED(2) float16x4_t f16x4_t;
+
+  /**
+   * @brief 16-bit floating-point 128-bit vector triplet data type
+   */
+  typedef float16x8x3_t f16x8x3_t;
+
+  /**
+   * @brief 16-bit floating-point 64-bit vector pair data type
+   */
+  typedef float16x4x2_t f16x4x2_t;
+
+  /**
+   * @brief 16-bit floating-point 64-bit vector triplet data type
+   */
+  typedef float16x4x3_t f16x4x3_t;
+
+  /**
+   * @brief 16-bit floating-point 64-bit vector quadruplet data type
+   */
+  typedef float16x4x4_t f16x4x4_t;
+
+  /**
+   * @brief 16-bit ubiquitous 64-bit vector data type
+   */
+  typedef union _any16x4_t
+  {
+      float16x4_t     f;
+      int16x4_t       i;
+  } any16x4_t;
+#endif
+
+#endif
+
+
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+#if defined(__ICCARM__)
+
+#define F16INFINITY   ((float16_t) INFINITY)
+
+#else
+
+#define F16INFINITY ((float16_t)__builtin_inf())
+
+#endif
+
+#define F16_MAX   ((float16_t)__FLT16_MAX__)
+#define F16_MIN   (-(_Float16)__FLT16_MAX__)
+
+#define F16_ABSMAX   ((float16_t)__FLT16_MAX__)
+#define F16_ABSMIN   ((float16_t)0.0f16)
+
+#endif /* ARM_FLOAT16_SUPPORTED*/
+#endif /* !defined( __CC_ARM ) */
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* _ARM_MATH_F16_H */

Drivers/CMSIS/DSP/Include/arm_mve_tables.h

@@ -0,0 +1,231 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mve_tables.h
+ * Description:  common tables like fft twiddle factors, Bitreverse, reciprocal etc
+ *               used for MVE implementation only
+ *
+ * @version  V1.10.0
+ * @date     04 October 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ #ifndef _ARM_MVE_TABLES_H
+ #define _ARM_MVE_TABLES_H
+
+#include "arm_math_types.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+ 
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_16_f32[2];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_16_f32[2];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_16_f32[2];
+extern float32_t rearranged_twiddle_stride1_16_f32[8];
+extern float32_t rearranged_twiddle_stride2_16_f32[8];
+extern float32_t rearranged_twiddle_stride3_16_f32[8];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_64_f32[3];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_64_f32[3];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_64_f32[3];
+extern float32_t rearranged_twiddle_stride1_64_f32[40];
+extern float32_t rearranged_twiddle_stride2_64_f32[40];
+extern float32_t rearranged_twiddle_stride3_64_f32[40];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_256_f32[4];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_256_f32[4];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_256_f32[4];
+extern float32_t rearranged_twiddle_stride1_256_f32[168];
+extern float32_t rearranged_twiddle_stride2_256_f32[168];
+extern float32_t rearranged_twiddle_stride3_256_f32[168];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_f32[5];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_f32[5];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_f32[5];
+extern float32_t rearranged_twiddle_stride1_1024_f32[680];
+extern float32_t rearranged_twiddle_stride2_1024_f32[680];
+extern float32_t rearranged_twiddle_stride3_1024_f32[680];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096) || defined(ARM_TABLE_TWIDDLECOEF_F32_8192)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_f32[6];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_f32[6];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_f32[6];
+extern float32_t rearranged_twiddle_stride1_4096_f32[2728];
+extern float32_t rearranged_twiddle_stride2_4096_f32[2728];
+extern float32_t rearranged_twiddle_stride3_4096_f32[2728];
+#endif
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+
+
+#if defined(ARM_MATH_MVEI)  && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q31[2];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q31[2];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q31[2];
+extern q31_t rearranged_twiddle_stride1_16_q31[8];
+extern q31_t rearranged_twiddle_stride2_16_q31[8];
+extern q31_t rearranged_twiddle_stride3_16_q31[8];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q31[3];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q31[3];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q31[3];
+extern q31_t rearranged_twiddle_stride1_64_q31[40];
+extern q31_t rearranged_twiddle_stride2_64_q31[40];
+extern q31_t rearranged_twiddle_stride3_64_q31[40];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q31[4];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q31[4];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q31[4];
+extern q31_t rearranged_twiddle_stride1_256_q31[168];
+extern q31_t rearranged_twiddle_stride2_256_q31[168];
+extern q31_t rearranged_twiddle_stride3_256_q31[168];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q31[5];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q31[5];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q31[5];
+extern q31_t rearranged_twiddle_stride1_1024_q31[680];
+extern q31_t rearranged_twiddle_stride2_1024_q31[680];
+extern q31_t rearranged_twiddle_stride3_1024_q31[680];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q31_8192)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q31[6];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q31[6];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q31[6];
+extern q31_t rearranged_twiddle_stride1_4096_q31[2728];
+extern q31_t rearranged_twiddle_stride2_4096_q31[2728];
+extern q31_t rearranged_twiddle_stride3_4096_q31[2728];
+#endif
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+
+
+#if defined(ARM_MATH_MVEI)  && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_16_q15[2];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_16_q15[2];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_16_q15[2];
+extern q15_t rearranged_twiddle_stride1_16_q15[8];
+extern q15_t rearranged_twiddle_stride2_16_q15[8];
+extern q15_t rearranged_twiddle_stride3_16_q15[8];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_64_q15[3];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_64_q15[3];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_64_q15[3];
+extern q15_t rearranged_twiddle_stride1_64_q15[40];
+extern q15_t rearranged_twiddle_stride2_64_q15[40];
+extern q15_t rearranged_twiddle_stride3_64_q15[40];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_256_q15[4];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_256_q15[4];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_256_q15[4];
+extern q15_t rearranged_twiddle_stride1_256_q15[168];
+extern q15_t rearranged_twiddle_stride2_256_q15[168];
+extern q15_t rearranged_twiddle_stride3_256_q15[168];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_q15[5];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_q15[5];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_q15[5];
+extern q15_t rearranged_twiddle_stride1_1024_q15[680];
+extern q15_t rearranged_twiddle_stride2_1024_q15[680];
+extern q15_t rearranged_twiddle_stride3_1024_q15[680];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) || defined(ARM_TABLE_TWIDDLECOEF_Q15_8192)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_q15[6];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_q15[6];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_q15[6];
+extern q15_t rearranged_twiddle_stride1_4096_q15[2728];
+extern q15_t rearranged_twiddle_stride2_4096_q15[2728];
+extern q15_t rearranged_twiddle_stride3_4096_q15[2728];
+#endif
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+
+#endif /* defined(ARM_MATH_MVEI) */
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /*_ARM_MVE_TABLES_H*/
+

Drivers/CMSIS/DSP/Include/arm_mve_tables_f16.h

@@ -0,0 +1,109 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mve_tables_f16.h
+ * Description:  common tables like fft twiddle factors, Bitreverse, reciprocal etc
+ *               used for MVE implementation only
+ *
+ * @version  V1.10.0
+ * @date     04 October 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ #ifndef _ARM_MVE_TABLES_F16_H
+ #define _ARM_MVE_TABLES_F16_H
+
+#include "arm_math_types_f16.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+ 
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_16) || defined(ARM_TABLE_TWIDDLECOEF_F16_32)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_16_f16[2];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_16_f16[2];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_16_f16[2];
+extern float16_t rearranged_twiddle_stride1_16_f16[8];
+extern float16_t rearranged_twiddle_stride2_16_f16[8];
+extern float16_t rearranged_twiddle_stride3_16_f16[8];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_64) || defined(ARM_TABLE_TWIDDLECOEF_F16_128)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_64_f16[3];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_64_f16[3];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_64_f16[3];
+extern float16_t rearranged_twiddle_stride1_64_f16[40];
+extern float16_t rearranged_twiddle_stride2_64_f16[40];
+extern float16_t rearranged_twiddle_stride3_64_f16[40];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_256) || defined(ARM_TABLE_TWIDDLECOEF_F16_512)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_256_f16[4];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_256_f16[4];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_256_f16[4];
+extern float16_t rearranged_twiddle_stride1_256_f16[168];
+extern float16_t rearranged_twiddle_stride2_256_f16[168];
+extern float16_t rearranged_twiddle_stride3_256_f16[168];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_1024) || defined(ARM_TABLE_TWIDDLECOEF_F16_2048)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_1024_f16[5];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_1024_f16[5];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_1024_f16[5];
+extern float16_t rearranged_twiddle_stride1_1024_f16[680];
+extern float16_t rearranged_twiddle_stride2_1024_f16[680];
+extern float16_t rearranged_twiddle_stride3_1024_f16[680];
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F16_4096) || defined(ARM_TABLE_TWIDDLECOEF_F16_8192)
+
+extern uint32_t rearranged_twiddle_tab_stride1_arr_4096_f16[6];
+extern uint32_t rearranged_twiddle_tab_stride2_arr_4096_f16[6];
+extern uint32_t rearranged_twiddle_tab_stride3_arr_4096_f16[6];
+extern float16_t rearranged_twiddle_stride1_4096_f16[2728];
+extern float16_t rearranged_twiddle_stride2_4096_f16[2728];
+extern float16_t rearranged_twiddle_stride3_4096_f16[2728];
+#endif
+
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) */
+
+#endif /* defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /*_ARM_MVE_TABLES_F16_H*/
+

Drivers/CMSIS/DSP/Include/arm_vec_math.h

@@ -0,0 +1,373 @@
+/******************************************************************************
+ * @file     arm_vec_math.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_VEC_MATH_H
+#define _ARM_VEC_MATH_H
+
+#include "arm_math_types.h"
+#include "arm_common_tables.h"
+#include "arm_helium_utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define INV_NEWTON_INIT_F32         0x7EF127EA
+
+static const float32_t __logf_rng_f32=0.693147180f;
+
+
+/* fast inverse approximation (3x newton) */
+__STATIC_INLINE f32x4_t vrecip_medprec_f32(
+    f32x4_t x)
+{
+    q31x4_t         m;
+    f32x4_t         b;
+    any32x4_t       xinv;
+    f32x4_t         ax = vabsq(x);
+
+    xinv.f = ax;
+    m = 0x3F800000 - (xinv.i & 0x7F800000);
+    xinv.i = xinv.i + m;
+    xinv.f = 1.41176471f - 0.47058824f * xinv.f;
+    xinv.i = xinv.i + m;
+
+    b = 2.0f - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
+    /*
+     * restore sign
+     */
+    xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
+
+    return xinv.f;
+}
+
+/* fast inverse approximation (4x newton) */
+__STATIC_INLINE f32x4_t vrecip_hiprec_f32(
+    f32x4_t x)
+{
+    q31x4_t         m;
+    f32x4_t         b;
+    any32x4_t       xinv;
+    f32x4_t         ax = vabsq(x);
+
+    xinv.f = ax;
+
+    m = 0x3F800000 - (xinv.i & 0x7F800000);
+    xinv.i = xinv.i + m;
+    xinv.f = 1.41176471f - 0.47058824f * xinv.f;
+    xinv.i = xinv.i + m;
+
+    b = 2.0f - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    xinv.f = vdupq_m(xinv.f, INFINITY, vcmpeqq(x, 0.0f));
+    /*
+     * restore sign
+     */
+    xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq(x, 0.0f));
+
+    return xinv.f;
+}
+
+__STATIC_INLINE f32x4_t vdiv_f32(
+    f32x4_t num, f32x4_t den)
+{
+    return vmulq(num, vrecip_hiprec_f32(den));
+}
+
+/**
+  @brief         Single-precision taylor dev.
+  @param[in]     x              f32 quad vector input
+  @param[in]     coeffs         f32 quad vector coeffs
+  @return        destination    f32 quad vector
+ */
+
+__STATIC_INLINE f32x4_t vtaylor_polyq_f32(
+        f32x4_t           x,
+        const float32_t * coeffs)
+{
+    f32x4_t         A = vfmasq(vdupq_n_f32(coeffs[4]), x, coeffs[0]);
+    f32x4_t         B = vfmasq(vdupq_n_f32(coeffs[6]), x, coeffs[2]);
+    f32x4_t         C = vfmasq(vdupq_n_f32(coeffs[5]), x, coeffs[1]);
+    f32x4_t         D = vfmasq(vdupq_n_f32(coeffs[7]), x, coeffs[3]);
+    f32x4_t         x2 = vmulq(x, x);
+    f32x4_t         x4 = vmulq(x2, x2);
+    f32x4_t         res = vfmaq(vfmaq_f32(A, B, x2), vfmaq_f32(C, D, x2), x4);
+
+    return res;
+}
+
+__STATIC_INLINE f32x4_t vmant_exp_f32(
+    f32x4_t     x,
+    int32x4_t * e)
+{
+    any32x4_t       r;
+    int32x4_t       n;
+
+    r.f = x;
+    n = r.i >> 23;
+    n = n - 127;
+    r.i = r.i - (n << 23);
+
+    *e = n;
+    return r.f;
+}
+
+
+__STATIC_INLINE f32x4_t vlogq_f32(f32x4_t vecIn)
+{
+    q31x4_t         vecExpUnBiased;
+    f32x4_t         vecTmpFlt0, vecTmpFlt1;
+    f32x4_t         vecAcc0, vecAcc1, vecAcc2, vecAcc3;
+    f32x4_t         vecExpUnBiasedFlt;
+
+    /*
+     * extract exponent
+     */
+    vecTmpFlt1 = vmant_exp_f32(vecIn, &vecExpUnBiased);
+
+    vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1;
+    /*
+     * a = (__logf_lut_f32[4] * r.f) + (__logf_lut_f32[0]);
+     */
+    vecAcc0 = vdupq_n_f32(__logf_lut_f32[0]);
+    vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f32[4]);
+    /*
+     * b = (__logf_lut_f32[6] * r.f) + (__logf_lut_f32[2]);
+     */
+    vecAcc1 = vdupq_n_f32(__logf_lut_f32[2]);
+    vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f32[6]);
+    /*
+     * c = (__logf_lut_f32[5] * r.f) + (__logf_lut_f32[1]);
+     */
+    vecAcc2 = vdupq_n_f32(__logf_lut_f32[1]);
+    vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f32[5]);
+    /*
+     * d = (__logf_lut_f32[7] * r.f) + (__logf_lut_f32[3]);
+     */
+    vecAcc3 = vdupq_n_f32(__logf_lut_f32[3]);
+    vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f32[7]);
+    /*
+     * a = a + b * xx;
+     */
+    vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0);
+    /*
+     * c = c + d * xx;
+     */
+    vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0);
+    /*
+     * xx = xx * xx;
+     */
+    vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0;
+    vecExpUnBiasedFlt = vcvtq_f32_s32(vecExpUnBiased);
+    /*
+     * r.f = a + c * xx;
+     */
+    vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0);
+    /*
+     * add exponent
+     * r.f = r.f + ((float32_t) m) * __logf_rng_f32;
+     */
+    vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f32);
+    // set log0 down to -inf
+    vecAcc0 = vdupq_m(vecAcc0, -INFINITY, vcmpeqq(vecIn, 0.0f));
+    return vecAcc0;
+}
+
+__STATIC_INLINE f32x4_t vexpq_f32(
+    f32x4_t x)
+{
+    // Perform range reduction [-log(2),log(2)]
+    int32x4_t       m = vcvtq_s32_f32(vmulq_n_f32(x, 1.4426950408f));
+    f32x4_t         val = vfmsq_f32(x, vcvtq_f32_s32(m), vdupq_n_f32(0.6931471805f));
+
+    // Polynomial Approximation
+    f32x4_t         poly = vtaylor_polyq_f32(val, exp_tab);
+
+    // Reconstruct
+    poly = (f32x4_t) (vqaddq_s32((q31x4_t) (poly), vqshlq_n_s32(m, 23)));
+
+    poly = vdupq_m(poly, 0.0f, vcmpltq_n_s32(m, -126));
+    return poly;
+}
+
+__STATIC_INLINE f32x4_t arm_vec_exponent_f32(f32x4_t x, int32_t nb)
+{
+    f32x4_t         r = x;
+    nb--;
+    while (nb > 0) {
+        r = vmulq(r, x);
+        nb--;
+    }
+    return (r);
+}
+
+__STATIC_INLINE f32x4_t vrecip_f32(f32x4_t vecIn)
+{
+    f32x4_t     vecSx, vecW, vecTmp;
+    any32x4_t   v;
+
+    vecSx = vabsq(vecIn);
+
+    v.f = vecIn;
+    v.i = vsubq(vdupq_n_s32(INV_NEWTON_INIT_F32), v.i);
+
+    vecW = vmulq(vecSx, v.f);
+
+    // v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w)))))));
+    vecTmp = vsubq(vdupq_n_f32(8.0f), vecW);
+    vecTmp = vfmasq(vecW, vecTmp, -28.0f);
+    vecTmp = vfmasq(vecW, vecTmp, 56.0f);
+    vecTmp = vfmasq(vecW, vecTmp, -70.0f);
+    vecTmp = vfmasq(vecW, vecTmp, 56.0f);
+    vecTmp = vfmasq(vecW, vecTmp, -28.0f);
+    vecTmp = vfmasq(vecW, vecTmp, 8.0f);
+    v.f = vmulq(v.f,  vecTmp);
+
+    v.f = vdupq_m(v.f, INFINITY, vcmpeqq(vecIn, 0.0f));
+    /*
+     * restore sign
+     */
+    v.f = vnegq_m(v.f, v.f, vcmpltq(vecIn, 0.0f));
+    return v.f;
+}
+
+__STATIC_INLINE f32x4_t vtanhq_f32(
+    f32x4_t val)
+{
+    f32x4_t         x =
+        vminnmq_f32(vmaxnmq_f32(val, vdupq_n_f32(-10.f)), vdupq_n_f32(10.0f));
+    f32x4_t         exp2x = vexpq_f32(vmulq_n_f32(x, 2.f));
+    f32x4_t         num = vsubq_n_f32(exp2x, 1.f);
+    f32x4_t         den = vaddq_n_f32(exp2x, 1.f);
+    f32x4_t         tanh = vmulq_f32(num, vrecip_f32(den));
+    return tanh;
+}
+
+__STATIC_INLINE f32x4_t vpowq_f32(
+    f32x4_t val,
+    f32x4_t n)
+{
+    return vexpq_f32(vmulq_f32(n, vlogq_f32(val)));
+}
+
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/
+
+#if (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+#endif /* (defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) */
+
+#if (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "NEMath.h"
+/**
+ * @brief Vectorized integer exponentiation
+ * @param[in]    x           value
+ * @param[in]    nb          integer exponent >= 1
+ * @return x^nb
+ *
+ */
+__STATIC_INLINE  float32x4_t arm_vec_exponent_f32(float32x4_t x, int32_t nb)
+{
+    float32x4_t r = x;
+    nb --;
+    while(nb > 0)
+    {
+        r = vmulq_f32(r , x);
+        nb--;
+    }
+    return(r);
+}
+
+
+__STATIC_INLINE float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t  x)
+{
+    float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN));
+    float32x4_t e = vrsqrteq_f32(x1);
+    e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
+    e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
+    return vmulq_f32(x, e);
+}
+
+__STATIC_INLINE int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec)
+{
+    float32x4_t tempF;
+    int32x4_t tempHI,tempLO;
+
+    tempLO = vmovl_s16(vget_low_s16(vec));
+    tempF = vcvtq_n_f32_s32(tempLO,15);
+    tempF = __arm_vec_sqrt_f32_neon(tempF);
+    tempLO = vcvtq_n_s32_f32(tempF,15);
+
+    tempHI = vmovl_s16(vget_high_s16(vec));
+    tempF = vcvtq_n_f32_s32(tempHI,15);
+    tempF = __arm_vec_sqrt_f32_neon(tempF);
+    tempHI = vcvtq_n_s32_f32(tempF,15);
+
+    return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI)));
+}
+
+__STATIC_INLINE int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec)
+{
+  float32x4_t temp;
+
+  temp = vcvtq_n_f32_s32(vec,31);
+  temp = __arm_vec_sqrt_f32_neon(temp);
+  return(vcvtq_n_s32_f32(temp,31));
+}
+
+#endif /*  (defined(ARM_MATH_NEON) || defined(ARM_MATH_NEON_EXPERIMENTAL)) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+#ifdef   __cplusplus
+}
+#endif
+
+
+#endif /* _ARM_VEC_MATH_H */
+
+/**
+ *
+ * End of file.
+ */

Drivers/CMSIS/DSP/Include/arm_vec_math_f16.h

@@ -0,0 +1,312 @@
+/******************************************************************************
+ * @file     arm_vec_math_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_VEC_MATH_F16_H
+#define _ARM_VEC_MATH_F16_H
+
+#include "arm_math_types_f16.h"
+#include "arm_common_tables_f16.h"
+#include "arm_helium_utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+#if defined(ARM_MATH_MVE_FLOAT16) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+
+static const float16_t __logf_rng_f16=0.693147180f16;
+
+/* fast inverse approximation (3x newton) */
+__STATIC_INLINE f16x8_t vrecip_medprec_f16(
+    f16x8_t x)
+{
+    q15x8_t         m;
+    f16x8_t         b;
+    any16x8_t       xinv;
+    f16x8_t         ax = vabsq(x);
+
+    xinv.f = ax;
+
+    m = 0x03c00 - (xinv.i & 0x07c00);
+    xinv.i = xinv.i + m;
+    xinv.f = 1.41176471f16 - 0.47058824f16 * xinv.f;
+    xinv.i = xinv.i + m;
+
+    b = 2.0f16 - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f16 - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f16 - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    xinv.f = vdupq_m_n_f16(xinv.f, F16INFINITY, vcmpeqq_n_f16(x, 0.0f));
+    /*
+     * restore sign
+     */
+    xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq_n_f16(x, 0.0f));
+
+    return xinv.f;
+}
+
+/* fast inverse approximation (4x newton) */
+__STATIC_INLINE f16x8_t vrecip_hiprec_f16(
+    f16x8_t x)
+{
+    q15x8_t         m;
+    f16x8_t         b;
+    any16x8_t       xinv;
+    f16x8_t         ax = vabsq(x);
+
+    xinv.f = ax;
+
+    m = 0x03c00 - (xinv.i & 0x07c00);
+    xinv.i = xinv.i + m;
+    xinv.f = 1.41176471f16 - 0.47058824f16 * xinv.f;
+    xinv.i = xinv.i + m;
+
+    b = 2.0f16 - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f16 - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f16 - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    b = 2.0f16 - xinv.f * ax;
+    xinv.f = xinv.f * b;
+
+    xinv.f = vdupq_m_n_f16(xinv.f, F16INFINITY, vcmpeqq_n_f16(x, 0.0f));
+    /*
+     * restore sign
+     */
+    xinv.f = vnegq_m(xinv.f, xinv.f, vcmpltq_n_f16(x, 0.0f));
+
+    return xinv.f;
+}
+
+__STATIC_INLINE f16x8_t vdiv_f16(
+    f16x8_t num, f16x8_t den)
+{
+    return vmulq(num, vrecip_hiprec_f16(den));
+}
+
+
+/**
+  @brief         Single-precision taylor dev.
+  @param[in]     x              f16  vector input
+  @param[in]     coeffs         f16  vector coeffs
+  @return        destination    f16  vector
+ */
+
+__STATIC_INLINE float16x8_t vtaylor_polyq_f16(
+        float16x8_t           x,
+        const float16_t * coeffs)
+{
+    float16x8_t         A = vfmasq(vdupq_n_f16(coeffs[4]), x, coeffs[0]);
+    float16x8_t         B = vfmasq(vdupq_n_f16(coeffs[6]), x, coeffs[2]);
+    float16x8_t         C = vfmasq(vdupq_n_f16(coeffs[5]), x, coeffs[1]);
+    float16x8_t         D = vfmasq(vdupq_n_f16(coeffs[7]), x, coeffs[3]);
+    float16x8_t         x2 = vmulq(x, x);
+    float16x8_t         x4 = vmulq(x2, x2);
+    float16x8_t         res = vfmaq(vfmaq_f16(A, B, x2), vfmaq_f16(C, D, x2), x4);
+
+    return res;
+}
+
+#define VMANT_EXP_F16(x)  \
+    any16x8_t       r;    \
+    int16x8_t       n;    \
+                          \
+    r.f = x;              \
+    n = r.i >> 10;        \
+    n = n - 15;           \
+    r.i = r.i - (n << 10);\
+                          \
+    vecExpUnBiased = n;   \
+    vecTmpFlt1 = r.f;
+
+__STATIC_INLINE float16x8_t vlogq_f16(float16x8_t vecIn)
+{
+    q15x8_t             vecExpUnBiased;
+    float16x8_t         vecTmpFlt0, vecTmpFlt1;
+    float16x8_t         vecAcc0, vecAcc1, vecAcc2, vecAcc3;
+    float16x8_t         vecExpUnBiasedFlt;
+
+    /*
+     * extract exponent
+     */
+    VMANT_EXP_F16(vecIn);
+
+    vecTmpFlt0 = vecTmpFlt1 * vecTmpFlt1;
+    /*
+     * a = (__logf_lut_f16[4] * r.f) + (__logf_lut_f16[0]);
+     */
+    vecAcc0 = vdupq_n_f16(__logf_lut_f16[0]);
+    vecAcc0 = vfmaq(vecAcc0, vecTmpFlt1, __logf_lut_f16[4]);
+    /*
+     * b = (__logf_lut_f16[6] * r.f) + (__logf_lut_f16[2]);
+     */
+    vecAcc1 = vdupq_n_f16(__logf_lut_f16[2]);
+    vecAcc1 = vfmaq(vecAcc1, vecTmpFlt1, __logf_lut_f16[6]);
+    /*
+     * c = (__logf_lut_f16[5] * r.f) + (__logf_lut_f16[1]);
+     */
+    vecAcc2 = vdupq_n_f16(__logf_lut_f16[1]);
+    vecAcc2 = vfmaq(vecAcc2, vecTmpFlt1, __logf_lut_f16[5]);
+    /*
+     * d = (__logf_lut_f16[7] * r.f) + (__logf_lut_f16[3]);
+     */
+    vecAcc3 = vdupq_n_f16(__logf_lut_f16[3]);
+    vecAcc3 = vfmaq(vecAcc3, vecTmpFlt1, __logf_lut_f16[7]);
+    /*
+     * a = a + b * xx;
+     */
+    vecAcc0 = vfmaq(vecAcc0, vecAcc1, vecTmpFlt0);
+    /*
+     * c = c + d * xx;
+     */
+    vecAcc2 = vfmaq(vecAcc2, vecAcc3, vecTmpFlt0);
+    /*
+     * xx = xx * xx;
+     */
+    vecTmpFlt0 = vecTmpFlt0 * vecTmpFlt0;
+    vecExpUnBiasedFlt = vcvtq_f16_s16(vecExpUnBiased);
+    /*
+     * r.f = a + c * xx;
+     */
+    vecAcc0 = vfmaq(vecAcc0, vecAcc2, vecTmpFlt0);
+    /*
+     * add exponent
+     * r.f = r.f + ((float32_t) m) * __logf_rng_f16;
+     */
+    vecAcc0 = vfmaq(vecAcc0, vecExpUnBiasedFlt, __logf_rng_f16);
+    // set log0 down to -inf
+    vecAcc0 = vdupq_m_n_f16(vecAcc0, -(_Float16)F16INFINITY, vcmpeqq_n_f16(vecIn, 0.0f));
+    return vecAcc0;
+}
+
+__STATIC_INLINE float16x8_t vexpq_f16(
+    float16x8_t x)
+{
+    // Perform range reduction [-log(2),log(2)]
+    int16x8_t       m = vcvtq_s16_f16(vmulq_n_f16(x, 1.4426950408f16));
+    float16x8_t     val = vfmsq_f16(x, vcvtq_f16_s16(m), vdupq_n_f16(0.6931471805f16));
+
+    // Polynomial Approximation
+    float16x8_t         poly = vtaylor_polyq_f16(val, exp_tab_f16);
+
+    // Reconstruct
+    poly = (float16x8_t) (vqaddq_s16((int16x8_t) (poly), vqshlq_n_s16(m, 10)));
+
+    poly = vdupq_m_n_f16(poly, 0.0f16, vcmpltq_n_s16(m, -14));
+    return poly;
+}
+
+__STATIC_INLINE float16x8_t arm_vec_exponent_f16(float16x8_t x, int16_t nb)
+{
+    float16x8_t         r = x;
+    nb--;
+    while (nb > 0) {
+        r = vmulq(r, x);
+        nb--;
+    }
+    return (r);
+}
+
+__STATIC_INLINE f16x8_t vpowq_f16(
+    f16x8_t val,
+    f16x8_t n)
+{
+    return vexpq_f16(vmulq_f16(n, vlogq_f16(val)));
+}
+
+#define INV_NEWTON_INIT_F16  0x7773
+
+__STATIC_INLINE f16x8_t vrecip_f16(f16x8_t vecIn)
+{
+    f16x8_t     vecSx, vecW, vecTmp;
+    any16x8_t   v;
+
+    vecSx = vabsq(vecIn);
+
+    v.f = vecIn;
+    v.i = vsubq(vdupq_n_s16(INV_NEWTON_INIT_F16), v.i);
+
+    vecW = vmulq(vecSx, v.f);
+
+    // v.f = v.f * (8 + w * (-28 + w * (56 + w * (-70 + w *(56 + w * (-28 + w * (8 - w)))))));
+    vecTmp = vsubq(vdupq_n_f16(8.0f16), vecW);
+    vecTmp = vfmasq_n_f16(vecW, vecTmp, -28.0f16);
+    vecTmp = vfmasq_n_f16(vecW, vecTmp, 56.0f16);
+    vecTmp = vfmasq_n_f16(vecW, vecTmp, -70.0f16);
+    vecTmp = vfmasq_n_f16(vecW, vecTmp, 56.0f16);
+    vecTmp = vfmasq_n_f16(vecW, vecTmp, -28.0f16);
+    vecTmp = vfmasq_n_f16(vecW, vecTmp, 8.0f16);
+    v.f = vmulq(v.f,  vecTmp);
+
+    v.f = vdupq_m_n_f16(v.f, F16INFINITY, vcmpeqq_n_f16(vecIn, 0.0f));
+    /*
+     * restore sign
+     */
+    v.f = vnegq_m(v.f, v.f, vcmpltq_n_f16(vecIn, 0.0f));
+    return v.f;
+}
+
+__STATIC_INLINE f16x8_t vtanhq_f16(
+    f16x8_t val)
+{
+    f16x8_t         x =
+        vminnmq_f16(vmaxnmq_f16(val, vdupq_n_f16(-10.f16)), vdupq_n_f16(10.0f16));
+    f16x8_t         exp2x = vexpq_f16(vmulq_n_f16(x, 2.f16));
+    f16x8_t         num = vsubq_n_f16(exp2x, 1.f16);
+    f16x8_t         den = vaddq_n_f16(exp2x, 1.f16);
+    f16x8_t         tanh = vmulq_f16(num, vrecip_f16(den));
+    return tanh;
+}
+
+#endif /* defined(ARM_MATH_MVE_FLOAT16)  && !defined(ARM_MATH_AUTOVECTORIZE)*/
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ARM FLOAT16 SUPPORTED */
+
+#endif /* _ARM_VEC_MATH_F16_H */
+
+/**
+ *
+ * End of file.
+ */

Drivers/CMSIS/DSP/Include/dsp/basic_math_functions.h

@@ -0,0 +1,880 @@
+/******************************************************************************
+ * @file     basic_math_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _BASIC_MATH_FUNCTIONS_H_
+#define _BASIC_MATH_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupMath Basic Math Functions
+ */
+
+ /**
+   * @brief Q7 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+/**
+ * @brief Floating-point vector multiplication.
+ * @param[in]  pSrcA      points to the first input vector
+ * @param[in]  pSrcB      points to the second input vector
+ * @param[out] pDst       points to the output vector
+ * @param[in]  blockSize  number of samples in each vector
+ */
+void arm_mult_f64(
+const float64_t * pSrcA,
+const float64_t * pSrcB,
+	  float64_t * pDst,
+	  uint32_t blockSize);
+
+
+
+ /**
+   * @brief Floating-point vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+/**
+  * @brief Floating-point vector addition.
+  * @param[in]  pSrcA      points to the first input vector
+  * @param[in]  pSrcB      points to the second input vector
+  * @param[out] pDst       points to the output vector
+  * @param[in]  blockSize  number of samples in each vector
+  */
+ void arm_add_f64(
+ const float64_t * pSrcA,
+ const float64_t * pSrcB,
+	   float64_t * pDst,
+	   uint32_t blockSize);
+
+
+
+  /**
+   * @brief Q7 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+  /**
+   * @brief Floating-point vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_f64(
+  const float64_t * pSrcA,
+  const float64_t * pSrcB,
+        float64_t * pDst,
+        uint32_t blockSize);
+
+
+
+  /**
+   * @brief Q7 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a floating-point vector by a scalar.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  scale      scale factor to be applied
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_scale_f32(
+  const float32_t * pSrc,
+        float32_t scale,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+  /**
+   * @brief Multiplies a floating-point vector by a scalar.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  scale      scale factor to be applied
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_scale_f64(
+  const float64_t * pSrc,
+        float64_t scale,
+        float64_t * pDst,
+        uint32_t blockSize);
+
+
+
+  /**
+   * @brief Multiplies a Q7 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q7(
+  const q7_t * pSrc,
+        q7_t scaleFract,
+        int8_t shift,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q15 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q15(
+  const q15_t * pSrc,
+        q15_t scaleFract,
+        int8_t shift,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q31 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q31(
+  const q31_t * pSrc,
+        q31_t scaleFract,
+        int8_t shift,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q7 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+/**
+ * @brief Floating-point vector absolute value.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[out] pDst       points to the output buffer
+ * @param[in]  blockSize  number of samples in each vector
+ */
+void arm_abs_f64(
+const float64_t * pSrc,
+	  float64_t * pDst,
+	  uint32_t blockSize);
+
+
+
+  /**
+   * @brief Q15 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Dot product of floating-point vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        uint32_t blockSize,
+        float32_t * result);
+
+
+
+/**
+ * @brief Dot product of floating-point vectors.
+ * @param[in]  pSrcA      points to the first input vector
+ * @param[in]  pSrcB      points to the second input vector
+ * @param[in]  blockSize  number of samples in each vector
+ * @param[out] result     output result returned here
+ */
+void arm_dot_prod_f64(
+const float64_t * pSrcA,
+const float64_t * pSrcB,
+	  uint32_t blockSize,
+	  float64_t * result);
+
+
+
+  /**
+   * @brief Dot product of Q7 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        uint32_t blockSize,
+        q31_t * result);
+
+
+  /**
+   * @brief Dot product of Q15 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        uint32_t blockSize,
+        q63_t * result);
+
+
+  /**
+   * @brief Dot product of Q31 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        uint32_t blockSize,
+        q63_t * result);
+
+
+  /**
+   * @brief  Shifts the elements of a Q7 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q7(
+  const q7_t * pSrc,
+        int8_t shiftBits,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Shifts the elements of a Q15 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q15(
+  const q15_t * pSrc,
+        int8_t shiftBits,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Shifts the elements of a Q31 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q31(
+  const q31_t * pSrc,
+        int8_t shiftBits,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+/**
+ * @brief  Adds a constant offset to a floating-point vector.
+ * @param[in]  pSrc       points to the input vector
+ * @param[in]  offset     is the offset to be added
+ * @param[out] pDst       points to the output vector
+ * @param[in]  blockSize  number of samples in the vector
+ */
+void arm_offset_f64(
+const float64_t * pSrc,
+	  float64_t offset,
+	  float64_t * pDst,
+	  uint32_t blockSize);
+
+
+
+  /**
+   * @brief  Adds a constant offset to a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_f32(
+  const float32_t * pSrc,
+        float32_t offset,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+  /**
+   * @brief  Adds a constant offset to a Q7 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q7(
+  const q7_t * pSrc,
+        q7_t offset,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q15 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q15(
+  const q15_t * pSrc,
+        q15_t offset,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q31 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q31(
+  const q31_t * pSrc,
+        q31_t offset,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+/**
+ * @brief  Negates the elements of a floating-point vector.
+ * @param[in]  pSrc       points to the input vector
+ * @param[out] pDst       points to the output vector
+ * @param[in]  blockSize  number of samples in the vector
+ */
+void arm_negate_f64(
+const float64_t * pSrc,
+	  float64_t * pDst,
+	  uint32_t blockSize);
+
+
+
+  /**
+   * @brief  Negates the elements of a Q7 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q15 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q31 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+/**
+   * @brief         Compute the logical bitwise AND of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_and_u16(
+    const uint16_t * pSrcA,
+    const uint16_t * pSrcB,
+          uint16_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise AND of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_and_u32(
+    const uint32_t * pSrcA,
+    const uint32_t * pSrcB,
+          uint32_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise AND of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_and_u8(
+    const uint8_t * pSrcA,
+    const uint8_t * pSrcB,
+          uint8_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise OR of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_or_u16(
+    const uint16_t * pSrcA,
+    const uint16_t * pSrcB,
+          uint16_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise OR of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_or_u32(
+    const uint32_t * pSrcA,
+    const uint32_t * pSrcB,
+          uint32_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise OR of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_or_u8(
+    const uint8_t * pSrcA,
+    const uint8_t * pSrcB,
+          uint8_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise NOT of a fixed-point vector.
+   * @param[in]     pSrc       points to input vector 
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_not_u16(
+    const uint16_t * pSrc,
+          uint16_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise NOT of a fixed-point vector.
+   * @param[in]     pSrc       points to input vector 
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_not_u32(
+    const uint32_t * pSrc,
+          uint32_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise NOT of a fixed-point vector.
+   * @param[in]     pSrc       points to input vector 
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_not_u8(
+    const uint8_t * pSrc,
+          uint8_t * pDst,
+          uint32_t blockSize);
+
+/**
+   * @brief         Compute the logical bitwise XOR of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_xor_u16(
+    const uint16_t * pSrcA,
+    const uint16_t * pSrcB,
+          uint16_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise XOR of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_xor_u32(
+    const uint32_t * pSrcA,
+    const uint32_t * pSrcB,
+          uint32_t * pDst,
+          uint32_t blockSize);
+
+  /**
+   * @brief         Compute the logical bitwise XOR of two fixed-point vectors.
+   * @param[in]     pSrcA      points to input vector A
+   * @param[in]     pSrcB      points to input vector B
+   * @param[out]    pDst       points to output vector
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_xor_u8(
+    const uint8_t * pSrcA,
+    const uint8_t * pSrcB,
+          uint8_t * pDst,
+    uint32_t blockSize);
+
+  /**
+  @brief         Elementwise floating-point clipping
+  @param[in]     pSrc          points to input values
+  @param[out]    pDst          points to output clipped values
+  @param[in]     low           lower bound
+  @param[in]     high          higher bound
+  @param[in]     numSamples    number of samples to clip
+  @return        none
+ */
+
+void arm_clip_f32(const float32_t * pSrc, 
+  float32_t * pDst, 
+  float32_t low, 
+  float32_t high, 
+  uint32_t numSamples);
+
+  /**
+  @brief         Elementwise fixed-point clipping
+  @param[in]     pSrc          points to input values
+  @param[out]    pDst          points to output clipped values
+  @param[in]     low           lower bound
+  @param[in]     high          higher bound
+  @param[in]     numSamples    number of samples to clip
+  @return        none
+ */
+
+void arm_clip_q31(const q31_t * pSrc, 
+  q31_t * pDst, 
+  q31_t low, 
+  q31_t high, 
+  uint32_t numSamples);
+
+  /**
+  @brief         Elementwise fixed-point clipping
+  @param[in]     pSrc          points to input values
+  @param[out]    pDst          points to output clipped values
+  @param[in]     low           lower bound
+  @param[in]     high          higher bound
+  @param[in]     numSamples    number of samples to clip
+  @return        none
+ */
+
+void arm_clip_q15(const q15_t * pSrc, 
+  q15_t * pDst, 
+  q15_t low, 
+  q15_t high, 
+  uint32_t numSamples);
+
+  /**
+  @brief         Elementwise fixed-point clipping
+  @param[in]     pSrc          points to input values
+  @param[out]    pDst          points to output clipped values
+  @param[in]     low           lower bound
+  @param[in]     high          higher bound
+  @param[in]     numSamples    number of samples to clip
+  @return        none
+ */
+
+void arm_clip_q7(const q7_t * pSrc, 
+  q7_t * pDst, 
+  q7_t low, 
+  q7_t high, 
+  uint32_t numSamples);
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _BASIC_MATH_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/basic_math_functions_f16.h

@@ -0,0 +1,168 @@
+/******************************************************************************
+ * @file     basic_math_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _BASIC_MATH_FUNCTIONS_F16_H_
+#define _BASIC_MATH_FUNCTIONS_F16_H_
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+  /**
+   * @brief Floating-point vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_f16(
+  const float16_t * pSrcA,
+  const float16_t * pSrcB,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Floating-point vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_f16(
+  const float16_t * pSrcA,
+  const float16_t * pSrcB,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+    /**
+   * @brief Multiplies a floating-point vector by a scalar.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  scale      scale factor to be applied
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_scale_f16(
+  const float16_t * pSrc,
+        float16_t scale,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+    /**
+   * @brief Floating-point vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_f16(
+  const float16_t * pSrc,
+        float16_t offset,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Dot product of floating-point vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_f16(
+  const float16_t * pSrcA,
+  const float16_t * pSrcB,
+        uint32_t blockSize,
+        float16_t * result);
+
+  /**
+   * @brief Floating-point vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_f16(
+  const float16_t * pSrcA,
+  const float16_t * pSrcB,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Negates the elements of a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+  @brief         Elementwise floating-point clipping
+  @param[in]     pSrc          points to input values
+  @param[out]    pDst          points to output clipped values
+  @param[in]     low           lower bound
+  @param[in]     high          higher bound
+  @param[in]     numSamples    number of samples to clip
+  @return        none
+ */
+
+void arm_clip_f16(const float16_t * pSrc, 
+  float16_t * pDst, 
+  float16_t low, 
+  float16_t high, 
+  uint32_t numSamples);
+
+#endif /* defined(ARM_FLOAT16_SUPPORTED)*/
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _BASIC_MATH_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/bayes_functions.h

@@ -0,0 +1,89 @@
+/******************************************************************************
+ * @file     bayes_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _BAYES_FUNCTIONS_H_
+#define _BAYES_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/statistics_functions.h"
+
+/**
+ * @defgroup groupBayes Bayesian estimators
+ *
+ * Implement the naive gaussian Bayes estimator.
+ * The training must be done from scikit-learn.
+ *
+ * The parameters can be easily
+ * generated from the scikit-learn object. Some examples are given in
+ * DSP/Testing/PatternGeneration/Bayes.py
+ */
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @brief Instance structure for Naive Gaussian Bayesian estimator.
+ */
+typedef struct
+{
+  uint32_t vectorDimension;  /**< Dimension of vector space */
+  uint32_t numberOfClasses;  /**< Number of different classes  */
+  const float32_t *theta;          /**< Mean values for the Gaussians */
+  const float32_t *sigma;          /**< Variances for the Gaussians */
+  const float32_t *classPriors;    /**< Class prior probabilities */
+  float32_t epsilon;         /**< Additive value to variances */
+} arm_gaussian_naive_bayes_instance_f32;
+
+/**
+ * @brief Naive Gaussian Bayesian Estimator
+ *
+ * @param[in]  S                        points to a naive bayes instance structure
+ * @param[in]  in                       points to the elements of the input vector.
+ * @param[out] *pOutputProbabilities    points to a buffer of length numberOfClasses containing estimated probabilities
+ * @param[out] *pBufferB                points to a temporary buffer of length numberOfClasses
+ * @return The predicted class
+ *
+ */
+
+
+uint32_t arm_gaussian_naive_bayes_predict_f32(const arm_gaussian_naive_bayes_instance_f32 *S, 
+   const float32_t * in, 
+   float32_t *pOutputProbabilities,
+   float32_t *pBufferB);
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _BAYES_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/bayes_functions_f16.h

@@ -0,0 +1,80 @@
+/******************************************************************************
+ * @file     bayes_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _BAYES_FUNCTIONS_F16_H_
+#define _BAYES_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/statistics_functions_f16.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ * @brief Instance structure for Naive Gaussian Bayesian estimator.
+ */
+typedef struct
+{
+  uint32_t vectorDimension;  /**< Dimension of vector space */
+  uint32_t numberOfClasses;  /**< Number of different classes  */
+  const float16_t *theta;          /**< Mean values for the Gaussians */
+  const float16_t *sigma;          /**< Variances for the Gaussians */
+  const float16_t *classPriors;    /**< Class prior probabilities */
+  float16_t epsilon;         /**< Additive value to variances */
+} arm_gaussian_naive_bayes_instance_f16;
+
+/**
+ * @brief Naive Gaussian Bayesian Estimator
+ *
+ * @param[in]  S                        points to a naive bayes instance structure
+ * @param[in]  in                       points to the elements of the input vector.
+ * @param[out] *pOutputProbabilities    points to a buffer of length numberOfClasses containing estimated probabilities
+ * @param[out] *pBufferB                points to a temporary buffer of length numberOfClasses
+ * @return The predicted class
+ *
+ */
+
+
+uint32_t arm_gaussian_naive_bayes_predict_f16(const arm_gaussian_naive_bayes_instance_f16 *S, 
+   const float16_t * in, 
+   float16_t *pOutputProbabilities,
+   float16_t *pBufferB);
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _BAYES_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/complex_math_functions.h

@@ -0,0 +1,345 @@
+/******************************************************************************
+ * @file     complex_math_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _COMPLEX_MATH_FUNCTIONS_H_
+#define _COMPLEX_MATH_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+#include "dsp/fast_math_functions.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupCmplxMath Complex Math Functions
+ * This set of functions operates on complex data vectors.
+ * The data in the complex arrays is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * In the API functions, the number of samples in a complex array refers
+ * to the number of complex values; the array contains twice this number of
+ * real values.
+ */
+
+ /**
+   * @brief  Floating-point complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+  /**
+   * @brief  Q31 complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_f64(
+  const float64_t * pSrc,
+        float64_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+/**
+   * @brief  Floating-point complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+
+/**
+   * @brief  Floating-point complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_f64(
+  const float64_t * pSrc,
+        float64_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+  /**
+   * @brief  Q15 complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_fast_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        uint32_t numSamples,
+        q31_t * realResult,
+        q31_t * imagResult);
+
+
+  /**
+   * @brief  Q31 complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        uint32_t numSamples,
+        q63_t * realResult,
+        q63_t * imagResult);
+
+
+  /**
+   * @brief  Floating-point complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        uint32_t numSamples,
+        float32_t * realResult,
+        float32_t * imagResult);
+
+
+  /**
+   * @brief  Q15 complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_q15(
+  const q15_t * pSrcCmplx,
+  const q15_t * pSrcReal,
+        q15_t * pCmplxDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_q31(
+  const q31_t * pSrcCmplx,
+  const q31_t * pSrcReal,
+        q31_t * pCmplxDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_f32(
+  const float32_t * pSrcCmplx,
+  const float32_t * pSrcReal,
+        float32_t * pCmplxDst,
+        uint32_t numSamples);
+
+  /**
+   * @brief  Q15 complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+
+
+/**
+ * @brief  Floating-point complex-by-complex multiplication
+ * @param[in]  pSrcA       points to the first input vector
+ * @param[in]  pSrcB       points to the second input vector
+ * @param[out] pDst        points to the output vector
+ * @param[in]  numSamples  number of complex samples in each vector
+ */
+void arm_cmplx_mult_cmplx_f64(
+const float64_t * pSrcA,
+const float64_t * pSrcB,
+	  float64_t * pDst,
+	  uint32_t numSamples);
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _COMPLEX_MATH_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/complex_math_functions_f16.h

@@ -0,0 +1,123 @@
+/******************************************************************************
+ * @file     complex_math_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _COMPLEX_MATH_FUNCTIONS_F16_H_
+#define _COMPLEX_MATH_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+#include "dsp/fast_math_functions_f16.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+   * @brief  Floating-point complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t numSamples);
+
+ /**
+   * @brief  Floating-point complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t numSamples);
+
+  /**
+   * @brief  Floating-point complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t numSamples);
+
+  /**
+   * @brief  Floating-point complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_f16(
+  const float16_t * pSrcA,
+  const float16_t * pSrcB,
+        uint32_t numSamples,
+        float16_t * realResult,
+        float16_t * imagResult);
+
+   /**
+   * @brief  Floating-point complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_f16(
+  const float16_t * pSrcCmplx,
+  const float16_t * pSrcReal,
+        float16_t * pCmplxDst,
+        uint32_t numSamples);
+
+  /**
+   * @brief  Floating-point complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_f16(
+  const float16_t * pSrcA,
+  const float16_t * pSrcB,
+        float16_t * pDst,
+        uint32_t numSamples);
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _COMPLEX_MATH_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/controller_functions.h

@@ -0,0 +1,791 @@
+/******************************************************************************
+ * @file     controller_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _CONTROLLER_FUNCTIONS_H_
+#define _CONTROLLER_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+  /**
+   * @brief Macros required for SINE and COSINE Controller functions
+   */
+
+#define CONTROLLER_Q31_SHIFT  (32 - 9)
+  /* 1.31(q31) Fixed value of 2/360 */
+  /* -1 to +1 is divided into 360 values so total spacing is (2/360) */
+#define INPUT_SPACING         0xB60B61
+  
+/**
+ * @defgroup groupController Controller Functions
+ */
+
+
+ /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @addtogroup SinCos
+   * @{
+   */
+
+/**
+   * @brief  Floating-point sin_cos function.
+   * @param[in]  theta   input value in degrees
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cos output.
+   */
+  void arm_sin_cos_f32(
+        float32_t theta,
+        float32_t * pSinVal,
+        float32_t * pCosVal);
+
+
+  /**
+   * @brief  Q31 sin_cos function.
+   * @param[in]  theta    scaled input value in degrees
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cosine output.
+   */
+  void arm_sin_cos_q31(
+        q31_t theta,
+        q31_t * pSinVal,
+        q31_t * pCosVal);
+
+  /**
+   * @} end of SinCos group
+   */
+
+ /**
+   * @ingroup groupController
+   */
+
+/**
+   * @defgroup PID PID Motor Control
+   *
+   * A Proportional Integral Derivative (PID) controller is a generic feedback control
+   * loop mechanism widely used in industrial control systems.
+   * A PID controller is the most commonly used type of feedback controller.
+   *
+   * This set of functions implements (PID) controllers
+   * for Q15, Q31, and floating-point data types.  The functions operate on a single sample
+   * of data and each call to the function returns a single processed value.
+   * <code>S</code> points to an instance of the PID control data structure.  <code>in</code>
+   * is the input sample value. The functions return the output value.
+   *
+   * \par Algorithm:
+   * <pre>
+   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   *    A0 = Kp + Ki + Kd
+   *    A1 = (-Kp ) - (2 * Kd )
+   *    A2 = Kd
+   * </pre>
+   *
+   * \par
+   * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant
+   *
+   * \par
+   * \image html PID.gif "Proportional Integral Derivative Controller"
+   *
+   * \par
+   * The PID controller calculates an "error" value as the difference between
+   * the measured output and the reference input.
+   * The controller attempts to minimize the error by adjusting the process control inputs.
+   * The proportional value determines the reaction to the current error,
+   * the integral value determines the reaction based on the sum of recent errors,
+   * and the derivative value determines the reaction based on the rate at which the error has been changing.
+   *
+   * \par Instance Structure
+   * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure.
+   * A separate instance structure must be defined for each PID Controller.
+   * There are separate instance structure declarations for each of the 3 supported data types.
+   *
+   * \par Reset Functions
+   * There is also an associated reset function for each data type which clears the state array.
+   *
+   * \par Initialization Functions
+   * There is also an associated initialization function for each data type.
+   * The initialization function performs the following operations:
+   * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.
+   * - Zeros out the values in the state buffer.
+   *
+   * \par
+   * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
+   *
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the fixed-point versions of the PID Controller functions.
+   * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+
+  /**
+   * @brief Instance structure for the Q15 PID Control.
+   */
+  typedef struct
+  {
+          q15_t A0;           /**< The derived gain, A0 = Kp + Ki + Kd . */
+#if !defined (ARM_MATH_DSP)
+          q15_t A1;           /**< The derived gain A1 = -Kp - 2Kd */
+          q15_t A2;           /**< The derived gain A1 = Kd. */
+#else
+          q31_t A1;           /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
+#endif
+          q15_t state[3];     /**< The state array of length 3. */
+          q15_t Kp;           /**< The proportional gain. */
+          q15_t Ki;           /**< The integral gain. */
+          q15_t Kd;           /**< The derivative gain. */
+  } arm_pid_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 PID Control.
+   */
+  typedef struct
+  {
+          q31_t A0;            /**< The derived gain, A0 = Kp + Ki + Kd . */
+          q31_t A1;            /**< The derived gain, A1 = -Kp - 2Kd. */
+          q31_t A2;            /**< The derived gain, A2 = Kd . */
+          q31_t state[3];      /**< The state array of length 3. */
+          q31_t Kp;            /**< The proportional gain. */
+          q31_t Ki;            /**< The integral gain. */
+          q31_t Kd;            /**< The derivative gain. */
+  } arm_pid_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point PID Control.
+   */
+  typedef struct
+  {
+          float32_t A0;          /**< The derived gain, A0 = Kp + Ki + Kd . */
+          float32_t A1;          /**< The derived gain, A1 = -Kp - 2Kd. */
+          float32_t A2;          /**< The derived gain, A2 = Kd . */
+          float32_t state[3];    /**< The state array of length 3. */
+          float32_t Kp;          /**< The proportional gain. */
+          float32_t Ki;          /**< The integral gain. */
+          float32_t Kd;          /**< The derivative gain. */
+  } arm_pid_instance_f32;
+
+
+
+  /**
+   * @brief  Initialization function for the floating-point PID Control.
+   * @param[in,out] S               points to an instance of the PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_f32(
+        arm_pid_instance_f32 * S,
+        int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the floating-point PID Control.
+   * @param[in,out] S  is an instance of the floating-point PID Control structure
+   */
+  void arm_pid_reset_f32(
+        arm_pid_instance_f32 * S);
+
+
+  /**
+   * @brief  Initialization function for the Q31 PID Control.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_q31(
+        arm_pid_instance_q31 * S,
+        int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the Q31 PID Control.
+   * @param[in,out] S   points to an instance of the Q31 PID Control structure
+   */
+
+  void arm_pid_reset_q31(
+        arm_pid_instance_q31 * S);
+
+
+  /**
+   * @brief  Initialization function for the Q15 PID Control.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_q15(
+        arm_pid_instance_q15 * S,
+        int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the Q15 PID Control.
+   * @param[in,out] S  points to an instance of the q15 PID Control structure
+   */
+  void arm_pid_reset_q15(
+        arm_pid_instance_q15 * S);
+
+
+
+  /**
+   * @addtogroup PID
+   * @{
+   */
+
+  /**
+   * @brief         Process function for the floating-point PID Control.
+   * @param[in,out] S   is an instance of the floating-point PID Control structure
+   * @param[in]     in  input sample to process
+   * @return        processed output sample.
+   */
+  __STATIC_FORCEINLINE float32_t arm_pid_f32(
+  arm_pid_instance_f32 * S,
+  float32_t in)
+  {
+    float32_t out;
+
+    /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]  */
+    out = (S->A0 * in) +
+      (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]);
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+
+  }
+
+/**
+  @brief         Process function for the Q31 PID Control.
+  @param[in,out] S  points to an instance of the Q31 PID Control structure
+  @param[in]     in  input sample to process
+  @return        processed output sample.
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 64-bit accumulator.
+         The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+         Thus, if the accumulator result overflows it wraps around rather than clip.
+         In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions.
+         After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+ */
+__STATIC_FORCEINLINE q31_t arm_pid_q31(
+  arm_pid_instance_q31 * S,
+  q31_t in)
+  {
+    q63_t acc;
+    q31_t out;
+
+    /* acc = A0 * x[n]  */
+    acc = (q63_t) S->A0 * in;
+
+    /* acc += A1 * x[n-1] */
+    acc += (q63_t) S->A1 * S->state[0];
+
+    /* acc += A2 * x[n-2]  */
+    acc += (q63_t) S->A2 * S->state[1];
+
+    /* convert output to 1.31 format to add y[n-1] */
+    out = (q31_t) (acc >> 31U);
+
+    /* out += y[n-1] */
+    out += S->state[2];
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+  }
+
+
+/**
+  @brief         Process function for the Q15 PID Control.
+  @param[in,out] S   points to an instance of the Q15 PID Control structure
+  @param[in]     in  input sample to process
+  @return        processed output sample.
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using a 64-bit internal accumulator.
+         Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+         The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+         There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+         After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+         Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+__STATIC_FORCEINLINE q15_t arm_pid_q15(
+  arm_pid_instance_q15 * S,
+  q15_t in)
+  {
+    q63_t acc;
+    q15_t out;
+
+#if defined (ARM_MATH_DSP)
+    /* Implementation of PID controller */
+
+    /* acc = A0 * x[n]  */
+    acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in);
+
+    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
+    acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc);
+#else
+    /* acc = A0 * x[n]  */
+    acc = ((q31_t) S->A0) * in;
+
+    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
+    acc += (q31_t) S->A1 * S->state[0];
+    acc += (q31_t) S->A2 * S->state[1];
+#endif
+
+    /* acc += y[n-1] */
+    acc += (q31_t) S->state[2] << 15;
+
+    /* saturate the output */
+    out = (q15_t) (__SSAT((q31_t)(acc >> 15), 16));
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+  }
+
+  /**
+   * @} end of PID group
+   */
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup park Vector Park Transform
+   *
+   * Forward Park transform converts the input two-coordinate vector to flux and torque components.
+   * The Park transform can be used to realize the transformation of the <code>Ialpha</code> and the <code>Ibeta</code> currents
+   * from the stationary to the moving reference frame and control the spatial relationship between
+   * the stator vector current and rotor flux vector.
+   * If we consider the d axis aligned with the rotor flux, the diagram below shows the
+   * current vector and the relationship from the two reference frames:
+   * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html parkFormula.gif
+   * where <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components,
+   * <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the
+   * cosine and sine values of theta (rotor flux position).
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Park transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup park
+   * @{
+   */
+
+  /**
+   * @brief Floating-point Park transform
+   * @param[in]  Ialpha  input two-phase vector coordinate alpha
+   * @param[in]  Ibeta   input two-phase vector coordinate beta
+   * @param[out] pId     points to output   rotor reference frame d
+   * @param[out] pIq     points to output   rotor reference frame q
+   * @param[in]  sinVal  sine value of rotation angle theta
+   * @param[in]  cosVal  cosine value of rotation angle theta
+   * @return     none
+   *
+   * The function implements the forward Park transform.
+   *
+   */
+  __STATIC_FORCEINLINE void arm_park_f32(
+  float32_t Ialpha,
+  float32_t Ibeta,
+  float32_t * pId,
+  float32_t * pIq,
+  float32_t sinVal,
+  float32_t cosVal)
+  {
+    /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
+    *pId = Ialpha * cosVal + Ibeta * sinVal;
+
+    /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
+    *pIq = -Ialpha * sinVal + Ibeta * cosVal;
+  }
+
+
+/**
+  @brief  Park transform for Q31 version
+  @param[in]  Ialpha  input two-phase vector coordinate alpha
+  @param[in]  Ibeta   input two-phase vector coordinate beta
+  @param[out] pId     points to output rotor reference frame d
+  @param[out] pIq     points to output rotor reference frame q
+  @param[in]  sinVal  sine value of rotation angle theta
+  @param[in]  cosVal  cosine value of rotation angle theta
+  @return     none
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the addition and subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_park_q31(
+  q31_t Ialpha,
+  q31_t Ibeta,
+  q31_t * pId,
+  q31_t * pIq,
+  q31_t sinVal,
+  q31_t cosVal)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
+
+    /* Intermediate product is calculated by (Ialpha * cosVal) */
+    product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
+
+    /* Intermediate product is calculated by (Ibeta * sinVal) */
+    product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
+
+
+    /* Intermediate product is calculated by (Ialpha * sinVal) */
+    product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
+
+    /* Intermediate product is calculated by (Ibeta * cosVal) */
+    product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
+
+    /* Calculate pId by adding the two intermediate products 1 and 2 */
+    *pId = __QADD(product1, product2);
+
+    /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
+    *pIq = __QSUB(product4, product3);
+  }
+
+  /**
+   * @} end of park group
+   */
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup inv_park Vector Inverse Park transform
+   * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html parkInvFormula.gif
+   * where <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components,
+   * <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the
+   * cosine and sine values of theta (rotor flux position).
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Park transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup inv_park
+   * @{
+   */
+
+   /**
+   * @brief  Floating-point Inverse Park transform
+   * @param[in]  Id       input coordinate of rotor reference frame d
+   * @param[in]  Iq       input coordinate of rotor reference frame q
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @param[in]  sinVal   sine value of rotation angle theta
+   * @param[in]  cosVal   cosine value of rotation angle theta
+   * @return     none
+   */
+  __STATIC_FORCEINLINE void arm_inv_park_f32(
+  float32_t Id,
+  float32_t Iq,
+  float32_t * pIalpha,
+  float32_t * pIbeta,
+  float32_t sinVal,
+  float32_t cosVal)
+  {
+    /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
+    *pIalpha = Id * cosVal - Iq * sinVal;
+
+    /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
+    *pIbeta = Id * sinVal + Iq * cosVal;
+  }
+
+
+/**
+  @brief  Inverse Park transform for   Q31 version
+  @param[in]  Id       input coordinate of rotor reference frame d
+  @param[in]  Iq       input coordinate of rotor reference frame q
+  @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+  @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+  @param[in]  sinVal   sine value of rotation angle theta
+  @param[in]  cosVal   cosine value of rotation angle theta
+  @return     none
+
+  @par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_park_q31(
+  q31_t Id,
+  q31_t Iq,
+  q31_t * pIalpha,
+  q31_t * pIbeta,
+  q31_t sinVal,
+  q31_t cosVal)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
+
+    /* Intermediate product is calculated by (Id * cosVal) */
+    product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
+
+    /* Intermediate product is calculated by (Iq * sinVal) */
+    product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
+
+
+    /* Intermediate product is calculated by (Id * sinVal) */
+    product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
+
+    /* Intermediate product is calculated by (Iq * cosVal) */
+    product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
+
+    /* Calculate pIalpha by using the two intermediate products 1 and 2 */
+    *pIalpha = __QSUB(product1, product2);
+
+    /* Calculate pIbeta by using the two intermediate products 3 and 4 */
+    *pIbeta = __QADD(product4, product3);
+  }
+
+  /**
+   * @} end of Inverse park group
+   */
+
+/**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup clarke Vector Clarke Transform
+   * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
+   * Generally the Clarke transform uses three-phase currents <code>Ia, Ib and Ic</code> to calculate currents
+   * in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>.
+   * When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below
+   * \image html clarke.gif Stator current space vector and its components in (a,b).
+   * and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code>
+   * can be calculated using only <code>Ia</code> and <code>Ib</code>.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html clarkeFormula.gif
+   * where <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and
+   * <code>pIalpha</code> and <code>pIbeta</code> are the two coordinates of time invariant vector.
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Clarke transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup clarke
+   * @{
+   */
+
+  /**
+   *
+   * @brief  Floating-point Clarke transform
+   * @param[in]  Ia       input three-phase coordinate <code>a</code>
+   * @param[in]  Ib       input three-phase coordinate <code>b</code>
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @return        none
+   */
+  __STATIC_FORCEINLINE void arm_clarke_f32(
+  float32_t Ia,
+  float32_t Ib,
+  float32_t * pIalpha,
+  float32_t * pIbeta)
+  {
+    /* Calculate pIalpha using the equation, pIalpha = Ia */
+    *pIalpha = Ia;
+
+    /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
+    *pIbeta = (0.57735026919f * Ia + 1.15470053838f * Ib);
+  }
+
+
+/**
+  @brief  Clarke transform for Q31 version
+  @param[in]  Ia       input three-phase coordinate <code>a</code>
+  @param[in]  Ib       input three-phase coordinate <code>b</code>
+  @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+  @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+  @return     none
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_clarke_q31(
+  q31_t Ia,
+  q31_t Ib,
+  q31_t * pIalpha,
+  q31_t * pIbeta)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+
+    /* Calculating pIalpha from Ia by equation pIalpha = Ia */
+    *pIalpha = Ia;
+
+    /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
+    product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
+
+    /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
+    product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
+
+    /* pIbeta is calculated by adding the intermediate products */
+    *pIbeta = __QADD(product1, product2);
+  }
+
+  /**
+   * @} end of clarke group
+   */
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup inv_clarke Vector Inverse Clarke Transform
+   * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html clarkeInvFormula.gif
+   * where <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and
+   * <code>Ialpha</code> and <code>Ibeta</code> are the two coordinates of time invariant vector.
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Clarke transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup inv_clarke
+   * @{
+   */
+
+   /**
+   * @brief  Floating-point Inverse Clarke transform
+   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+   * @param[out] pIa     points to output three-phase coordinate <code>a</code>
+   * @param[out] pIb     points to output three-phase coordinate <code>b</code>
+   * @return     none
+   */
+  __STATIC_FORCEINLINE void arm_inv_clarke_f32(
+  float32_t Ialpha,
+  float32_t Ibeta,
+  float32_t * pIa,
+  float32_t * pIb)
+  {
+    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+    *pIa = Ialpha;
+
+    /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
+    *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;
+  }
+
+
+/**
+  @brief  Inverse Clarke transform for Q31 version
+  @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+  @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+  @param[out] pIa     points to output three-phase coordinate <code>a</code>
+  @param[out] pIb     points to output three-phase coordinate <code>b</code>
+  @return     none
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_clarke_q31(
+  q31_t Ialpha,
+  q31_t Ibeta,
+  q31_t * pIa,
+  q31_t * pIb)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+
+    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+    *pIa = Ialpha;
+
+    /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
+    product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
+
+    /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
+    product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
+
+    /* pIb is calculated by subtracting the products */
+    *pIb = __QSUB(product2, product1);
+  }
+
+  /**
+   * @} end of inv_clarke group
+   */
+
+
+
+  
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _CONTROLLER_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/controller_functions_f16.h

@@ -0,0 +1,41 @@
+/******************************************************************************
+ * @file     controller_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _CONTROLLER_FUNCTIONS_F16_H_
+#define _CONTROLLER_FUNCTIONS_F16_H_
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _CONTROLLER_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/distance_functions.h

@@ -0,0 +1,341 @@
+/******************************************************************************
+ * @file     distance_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _DISTANCE_FUNCTIONS_H_
+#define _DISTANCE_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/statistics_functions.h"
+#include "dsp/basic_math_functions.h"
+#include "dsp/fast_math_functions.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupDistance Distance functions
+ *
+ * Distance functions for use with clustering algorithms.
+ * There are distance functions for float vectors and boolean vectors.
+ *
+ */
+
+/* 6.14 bug */
+#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) && (__ARMCC_VERSION < 6150001)
+ 
+__attribute__((weak)) float __powisf2(float a, int b);
+
+#endif 
+
+/**
+ * @brief        Euclidean distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_euclidean_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Euclidean distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float64_t arm_euclidean_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Bray-Curtis distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float32_t arm_braycurtis_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Canberra distance between two vectors
+ *
+ * This function may divide by zero when samples pA[i] and pB[i] are both zero.
+ * The result of the computation will be correct. So the division per zero may be
+ * ignored.
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float32_t arm_canberra_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief        Chebyshev distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float32_t arm_chebyshev_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief        Chebyshev distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float64_t arm_chebyshev_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief        Cityblock (Manhattan) distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float32_t arm_cityblock_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Cityblock (Manhattan) distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float64_t arm_cityblock_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Correlation distance between two vectors
+ *
+ * The input vectors are modified in place !
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float32_t arm_correlation_distance_f32(float32_t *pA,float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Cosine distance between two vectors
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_cosine_distance_f32(const float32_t *pA,const float32_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Cosine distance between two vectors
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float64_t arm_cosine_distance_f64(const float64_t *pA,const float64_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Jensen-Shannon distance between two vectors
+ *
+ * This function is assuming that elements of second vector are > 0
+ * and 0 only when the corresponding element of first vector is 0.
+ * Otherwise the result of the computation does not make sense
+ * and for speed reasons, the cases returning NaN or Infinity are not
+ * managed.
+ *
+ * When the function is computing x log (x / y) with x 0 and y 0,
+ * it will compute the right value (0) but a division per zero will occur
+ * and shoudl be ignored in client code.
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float32_t arm_jensenshannon_distance_f32(const float32_t *pA,const float32_t *pB,uint32_t blockSize);
+
+/**
+ * @brief        Minkowski distance between two vectors
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    n          Norm order (>= 2)
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+
+
+float32_t arm_minkowski_distance_f32(const float32_t *pA,const float32_t *pB, int32_t order, uint32_t blockSize);
+
+/**
+ * @brief        Dice distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    order           Distance order
+ * @param[in]    blockSize       Number of samples
+ * @return distance
+ *
+ */
+
+
+float32_t arm_dice_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Hamming distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_hamming_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Jaccard distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_jaccard_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Kulsinski distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_kulsinski_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Roger Stanimoto distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_rogerstanimoto_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Russell-Rao distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_russellrao_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Sokal-Michener distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_sokalmichener_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Sokal-Sneath distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_sokalsneath_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+/**
+ * @brief        Yule distance between two vectors
+ *
+ * @param[in]    pA              First vector of packed booleans
+ * @param[in]    pB              Second vector of packed booleans
+ * @param[in]    numberOfBools   Number of booleans
+ * @return distance
+ *
+ */
+
+float32_t arm_yule_distance(const uint32_t *pA, const uint32_t *pB, uint32_t numberOfBools);
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _DISTANCE_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/distance_functions_f16.h

@@ -0,0 +1,180 @@
+/******************************************************************************
+ * @file     distance_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _DISTANCE_FUNCTIONS_F16_H_
+#define _DISTANCE_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+/* 6.14 bug */
+#if defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6100100) && (__ARMCC_VERSION < 6150001)
+/* Defined in minkowski_f32 */
+__attribute__((weak)) float __powisf2(float a, int b);
+#endif 
+
+#include "dsp/statistics_functions_f16.h"
+#include "dsp/basic_math_functions_f16.h"
+
+#include "dsp/fast_math_functions_f16.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+/**
+ * @brief        Euclidean distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float16_t arm_euclidean_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Bray-Curtis distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float16_t arm_braycurtis_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Canberra distance between two vectors
+ *
+ * This function may divide by zero when samples pA[i] and pB[i] are both zero.
+ * The result of the computation will be correct. So the division per zero may be
+ * ignored.
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float16_t arm_canberra_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief        Chebyshev distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float16_t arm_chebyshev_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+
+/**
+ * @brief        Cityblock (Manhattan) distance between two vectors
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float16_t arm_cityblock_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Correlation distance between two vectors
+ *
+ * The input vectors are modified in place !
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+float16_t arm_correlation_distance_f16(float16_t *pA,float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Cosine distance between two vectors
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float16_t arm_cosine_distance_f16(const float16_t *pA,const float16_t *pB, uint32_t blockSize);
+
+/**
+ * @brief        Jensen-Shannon distance between two vectors
+ *
+ * This function is assuming that elements of second vector are > 0
+ * and 0 only when the corresponding element of first vector is 0.
+ * Otherwise the result of the computation does not make sense
+ * and for speed reasons, the cases returning NaN or Infinity are not
+ * managed.
+ *
+ * When the function is computing x log (x / y) with x 0 and y 0,
+ * it will compute the right value (0) but a division per zero will occur
+ * and shoudl be ignored in client code.
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+float16_t arm_jensenshannon_distance_f16(const float16_t *pA,const float16_t *pB,uint32_t blockSize);
+
+/**
+ * @brief        Minkowski distance between two vectors
+ *
+ * @param[in]    pA         First vector
+ * @param[in]    pB         Second vector
+ * @param[in]    n          Norm order (>= 2)
+ * @param[in]    blockSize  vector length
+ * @return distance
+ *
+ */
+
+
+
+float16_t arm_minkowski_distance_f16(const float16_t *pA,const float16_t *pB, int32_t order, uint32_t blockSize);
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _DISTANCE_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/fast_math_functions.h

@@ -0,0 +1,389 @@
+/******************************************************************************
+ * @file     fast_math_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _FAST_MATH_FUNCTIONS_H_
+#define _FAST_MATH_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions.h"
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+  /**
+   * @brief Macros required for SINE and COSINE Fast math approximations
+   */
+
+#define FAST_MATH_TABLE_SIZE  512
+#define FAST_MATH_Q31_SHIFT   (32 - 10)
+#define FAST_MATH_Q15_SHIFT   (16 - 10)
+  
+#ifndef PI
+  #define PI               3.14159265358979f
+#endif
+
+
+/**
+ * @defgroup groupFastMath Fast Math Functions
+ * This set of functions provides a fast approximation to sine, cosine, and square root.
+ * As compared to most of the other functions in the CMSIS math library, the fast math functions
+ * operate on individual values and not arrays.
+ * There are separate functions for Q15, Q31, and floating-point data.
+ *
+ */
+
+  /**
+   * @ingroup groupFastMath
+   */
+
+
+/**
+  @addtogroup sin
+  @{
+ */
+
+/**
+   * @brief  Fast approximation to the trigonometric sine function for floating-point data.
+   * @param[in] x  input value in radians.
+   * @return  sin(x).
+   */
+  float32_t arm_sin_f32(
+  float32_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for Q31 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  sin(x).
+   */
+  q31_t arm_sin_q31(
+  q31_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for Q15 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  sin(x).
+   */
+  q15_t arm_sin_q15(
+  q15_t x);
+
+/**
+  @} end of sin group
+ */
+
+/**
+  @addtogroup cos
+  @{
+ */
+
+  /**
+   * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
+   * @param[in] x  input value in radians.
+   * @return  cos(x).
+   */
+  float32_t arm_cos_f32(
+  float32_t x);
+
+
+  /**
+   * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  cos(x).
+   */
+  q31_t arm_cos_q31(
+  q31_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric cosine function for Q15 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  cos(x).
+   */
+  q15_t arm_cos_q15(
+  q15_t x);
+
+/**
+  @} end of cos group
+ */
+
+
+/**
+  @brief         Floating-point vector of log values.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+  void arm_vlog_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+/**
+  @brief         Floating-point vector of log values.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+  void arm_vlog_f64(
+  const float64_t * pSrc,
+		float64_t * pDst,
+		uint32_t blockSize);
+
+
+
+  /**
+   * @brief  q31 vector of log values.
+   * @param[in]     pSrc       points to the input vector in q31
+   * @param[out]    pDst       points to the output vector in q5.26
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_vlog_q31(const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  q15 vector of log values.
+   * @param[in]     pSrc       points to the input vector in q15
+   * @param[out]    pDst       points to the output vector in q4.11
+   * @param[in]     blockSize  number of samples in each vector
+   * @return        none
+   */
+  void arm_vlog_q15(const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+
+/**
+  @brief         Floating-point vector of exp values.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+  void arm_vexp_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+
+/**
+  @brief         Floating-point vector of exp values.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+  void arm_vexp_f64(
+  const float64_t * pSrc,
+		float64_t * pDst,
+		uint32_t blockSize);
+
+
+
+ /**
+   * @defgroup SQRT Square Root
+   *
+   * Computes the square root of a number.
+   * There are separate functions for Q15, Q31, and floating-point data types.
+   * The square root function is computed using the Newton-Raphson algorithm.
+   * This is an iterative algorithm of the form:
+   * <pre>
+   *      x1 = x0 - f(x0)/f'(x0)
+   * </pre>
+   * where <code>x1</code> is the current estimate,
+   * <code>x0</code> is the previous estimate, and
+   * <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>.
+   * For the square root function, the algorithm reduces to:
+   * <pre>
+   *     x0 = in/2                         [initial guess]
+   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+   * </pre>
+   */
+
+
+  /**
+   * @addtogroup SQRT
+   * @{
+   */
+
+/**
+  @brief         Floating-point square root function.
+  @param[in]     in    input value
+  @param[out]    pOut  square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+__STATIC_FORCEINLINE arm_status arm_sqrt_f32(
+  const float32_t in,
+  float32_t * pOut)
+  {
+    if (in >= 0.0f)
+    {
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+      *pOut = __sqrtf(in);
+  #else
+      *pOut = sqrtf(in);
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+      __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in));
+  #else
+      *pOut = sqrtf(in);
+  #endif
+
+#else
+      *pOut = sqrtf(in);
+#endif
+
+      return (ARM_MATH_SUCCESS);
+    }
+    else
+    {
+      *pOut = 0.0f;
+      return (ARM_MATH_ARGUMENT_ERROR);
+    }
+  }
+
+
+/**
+  @brief         Q31 square root function.
+  @param[in]     in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF
+  @param[out]    pOut  points to square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+arm_status arm_sqrt_q31(
+  q31_t in,
+  q31_t * pOut);
+
+
+/**
+  @brief         Q15 square root function.
+  @param[in]     in    input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF
+  @param[out]    pOut  points to square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+arm_status arm_sqrt_q15(
+  q15_t in,
+  q15_t * pOut);
+
+
+
+  /**
+   * @} end of SQRT group
+   */
+
+  /**
+  @brief         Fixed point division
+  @param[in]     numerator    Numerator
+  @param[in]     denominator  Denominator
+  @param[out]    quotient     Quotient value normalized between -1.0 and 1.0
+  @param[out]    shift        Shift left value to get the unnormalized quotient
+  @return        error status
+
+  When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced
+  to the saturated negative or positive value.
+ */
+
+arm_status arm_divide_q15(q15_t numerator,
+  q15_t denominator,
+  q15_t *quotient,
+  int16_t *shift);
+
+  /**
+  @brief         Fixed point division
+  @param[in]     numerator    Numerator
+  @param[in]     denominator  Denominator
+  @param[out]    quotient     Quotient value normalized between -1.0 and 1.0
+  @param[out]    shift        Shift left value to get the unnormalized quotient
+  @return        error status
+
+  When dividing by 0, an error ARM_MATH_NANINF is returned. And the quotient is forced
+  to the saturated negative or positive value.
+ */
+
+arm_status arm_divide_q31(q31_t numerator,
+  q31_t denominator,
+  q31_t *quotient,
+  int16_t *shift);
+
+
+
+  /**
+     @brief  Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
+     @param[in]   y  y coordinate
+     @param[in]   x  x coordinate
+     @param[out]  result  Result
+     @return  error status.
+   */
+  arm_status arm_atan2_f32(float32_t y,float32_t x,float32_t *result);
+
+
+  /**
+     @brief  Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
+     @param[in]   y  y coordinate
+     @param[in]   x  x coordinate
+     @param[out]  result  Result in Q2.29
+     @return  error status.
+   */
+  arm_status arm_atan2_q31(q31_t y,q31_t x,q31_t *result);
+
+  /**
+     @brief  Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
+     @param[in]   y  y coordinate
+     @param[in]   x  x coordinate
+     @param[out]  result  Result in Q2.13
+     @return  error status.
+   */
+  arm_status arm_atan2_q15(q15_t y,q15_t x,q15_t *result);
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _FAST_MATH_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/fast_math_functions_f16.h

@@ -0,0 +1,125 @@
+/******************************************************************************
+ * @file     fast_math_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _FAST_MATH_FUNCTIONS_F16_H_
+#define _FAST_MATH_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+/* For sqrt_f32 */
+#include "dsp/fast_math_functions.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+   * @addtogroup SQRT
+   * @{
+   */
+
+/**
+  @brief         Floating-point square root function.
+  @param[in]     in    input value
+  @param[out]    pOut  square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+__STATIC_FORCEINLINE arm_status arm_sqrt_f16(
+  float16_t in,
+  float16_t * pOut)
+  {
+    float32_t r;
+    arm_status status;
+    status=arm_sqrt_f32((float32_t)in,&r);
+    *pOut=(float16_t)r;
+    return(status);
+  }
+
+
+/**
+  @} end of SQRT group
+ */
+  
+/**
+  @brief         Floating-point vector of log values.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+  void arm_vlog_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+/**
+  @brief         Floating-point vector of exp values.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+  void arm_vexp_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+  @brief         Floating-point vector of inverse values.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+  void arm_vinverse_f16(
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+     @brief  Arc tangent in radian of y/x using sign of x and y to determine right quadrant.
+     @param[in]   y  y coordinate
+     @param[in]   x  x coordinate
+     @param[out]  result  Result
+     @return  error status.
+   */
+  arm_status arm_atan2_f16(float16_t y,float16_t x,float16_t *result);
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _FAST_MATH_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/filtering_functions_f16.h

@@ -0,0 +1,237 @@
+/******************************************************************************
+ * @file     filtering_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _FILTERING_FUNCTIONS_F16_H_
+#define _FILTERING_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+   * @brief Instance structure for the floating-point FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;     /**< number of filter coefficients in the filter. */
+          float16_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    const float16_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
+  } arm_fir_instance_f16;
+
+  /**
+   * @brief  Initialization function for the floating-point FIR filter.
+   * @param[in,out] S          points to an instance of the floating-point FIR filter structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
+   */
+  void arm_fir_init_f16(
+        arm_fir_instance_f16 * S,
+        uint16_t numTaps,
+  const float16_t * pCoeffs,
+        float16_t * pState,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the floating-point FIR filter.
+   * @param[in]  S          points to an instance of the floating-point FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_f16(
+  const arm_fir_instance_f16 * S,
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the floating-point Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          float16_t *pState;       /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    const float16_t *pCoeffs;      /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_casd_df1_inst_f16;
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+  /**
+   * @brief Instance structure for the modified Biquad coefs required by vectorized code.
+   */
+  typedef struct
+  {
+      float16_t coeffs[12][8]; /**< Points to the array of modified coefficients.  The array is of length 32. There is one per stage */
+  } arm_biquad_mod_coef_f16;
+#endif 
+
+  /**
+   * @brief Processing function for the floating-point Biquad cascade filter.
+   * @param[in]  S          points to an instance of the floating-point Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_f16(
+  const arm_biquad_casd_df1_inst_f16 * S,
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+  void arm_biquad_cascade_df1_mve_init_f16(
+      arm_biquad_casd_df1_inst_f16 * S,
+      uint8_t numStages,
+      const float16_t * pCoeffs, 
+      arm_biquad_mod_coef_f16 * pCoeffsMod, 
+      float16_t * pState);
+#endif
+
+  void arm_biquad_cascade_df1_init_f16(
+        arm_biquad_casd_df1_inst_f16 * S,
+        uint8_t numStages,
+  const float16_t * pCoeffs,
+        float16_t * pState);
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          float16_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
+    const float16_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_df2T_instance_f16;
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          float16_t *pState;         /**< points to the array of state coefficients.  The array is of length 4*numStages. */
+    const float16_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_stereo_df2T_instance_f16;
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df2T_f16(
+  const arm_biquad_cascade_df2T_instance_f16 * S,
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_stereo_df2T_f16(
+  const arm_biquad_cascade_stereo_df2T_instance_f16 * S,
+  const float16_t * pSrc,
+        float16_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df2T_init_f16(
+        arm_biquad_cascade_df2T_instance_f16 * S,
+        uint8_t numStages,
+  const float16_t * pCoeffs,
+        float16_t * pState);
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_stereo_df2T_init_f16(
+        arm_biquad_cascade_stereo_df2T_instance_f16 * S,
+        uint8_t numStages,
+  const float16_t * pCoeffs,
+        float16_t * pState);
+
+  /**
+   * @brief Correlation of floating-point sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_f16(
+  const float16_t * pSrcA,
+        uint32_t srcALen,
+  const float16_t * pSrcB,
+        uint32_t srcBLen,
+        float16_t * pDst);
+
+
+/**
+  @brief         Levinson Durbin
+  @param[in]     phi      autocovariance vector starting with lag 0 (length is nbCoefs + 1)
+  @param[out]    a        autoregressive coefficients
+  @param[out]    err      prediction error (variance)
+  @param[in]     nbCoefs  number of autoregressive coefficients
+  @return        none
+ */
+void arm_levinson_durbin_f16(const float16_t *phi,
+  float16_t *a, 
+  float16_t *err,
+  int nbCoefs);
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _FILTERING_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/interpolation_functions.h

@@ -0,0 +1,319 @@
+/******************************************************************************
+ * @file     interpolation_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _INTERPOLATION_FUNCTIONS_H_
+#define _INTERPOLATION_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupInterpolation Interpolation Functions
+ * These functions perform 1- and 2-dimensional interpolation of data.
+ * Linear interpolation is used for 1-dimensional data and
+ * bilinear interpolation is used for 2-dimensional data.
+ */
+
+
+  /**
+   * @brief Instance structure for the floating-point Linear Interpolate function.
+   */
+  typedef struct
+  {
+          uint32_t nValues;           /**< nValues */
+          float32_t x1;               /**< x1 */
+          float32_t xSpacing;         /**< xSpacing */
+          float32_t *pYData;          /**< pointer to the table of Y values */
+  } arm_linear_interp_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          float32_t *pData;   /**< points to the data table. */
+  } arm_bilinear_interp_instance_f32;
+
+   /**
+   * @brief Instance structure for the Q31 bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          q31_t *pData;       /**< points to the data table. */
+  } arm_bilinear_interp_instance_q31;
+
+   /**
+   * @brief Instance structure for the Q15 bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          q15_t *pData;       /**< points to the data table. */
+  } arm_bilinear_interp_instance_q15;
+
+   /**
+   * @brief Instance structure for the Q15 bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          q7_t *pData;        /**< points to the data table. */
+  } arm_bilinear_interp_instance_q7;
+
+
+  /**
+   * @brief Struct for specifying cubic spline type
+   */
+  typedef enum
+  {
+    ARM_SPLINE_NATURAL = 0,           /**< Natural spline */
+    ARM_SPLINE_PARABOLIC_RUNOUT = 1   /**< Parabolic runout spline */
+  } arm_spline_type;
+
+  /**
+   * @brief Instance structure for the floating-point cubic spline interpolation.
+   */
+  typedef struct
+  {
+    arm_spline_type type;      /**< Type (boundary conditions) */
+    const float32_t * x;       /**< x values */
+    const float32_t * y;       /**< y values */
+    uint32_t n_x;              /**< Number of known data points */
+    float32_t * coeffs;        /**< Coefficients buffer (b,c, and d) */
+  } arm_spline_instance_f32;
+
+
+
+
+  /**
+   * @ingroup groupInterpolation
+   */
+
+  /**
+   * @addtogroup SplineInterpolate
+   * @{
+   */
+
+  
+  /**
+   * @brief Processing function for the floating-point cubic spline interpolation.
+   * @param[in]  S          points to an instance of the floating-point spline structure.
+   * @param[in]  xq         points to the x values ot the interpolated data points.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples of output data.
+   */
+  void arm_spline_f32(
+        arm_spline_instance_f32 * S, 
+  const float32_t * xq,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Initialization function for the floating-point cubic spline interpolation.
+   * @param[in,out] S        points to an instance of the floating-point spline structure.
+   * @param[in]     type     type of cubic spline interpolation (boundary conditions)
+   * @param[in]     x        points to the x values of the known data points.
+   * @param[in]     y        points to the y values of the known data points.
+   * @param[in]     n        number of known data points.
+   * @param[in]     coeffs   coefficients array for b, c, and d
+   * @param[in]     tempBuffer   buffer array for internal computations
+   */
+  void arm_spline_init_f32(
+          arm_spline_instance_f32 * S,
+          arm_spline_type type,
+    const float32_t * x,
+    const float32_t * y,
+          uint32_t n, 
+          float32_t * coeffs,
+          float32_t * tempBuffer);
+
+
+  /**
+   * @} end of SplineInterpolate group
+   */
+
+
+  
+  /**
+   * @addtogroup LinearInterpolate
+   * @{
+   */
+
+    /**
+   * @brief  Process function for the floating-point Linear Interpolation Function.
+   * @param[in,out] S  is an instance of the floating-point Linear Interpolation structure
+   * @param[in]     x  input sample to process
+   * @return y processed output sample.
+   *
+   */
+  float32_t arm_linear_interp_f32(
+  arm_linear_interp_instance_f32 * S,
+  float32_t x);
+
+   /**
+   *
+   * @brief  Process function for the Q31 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q31 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   *
+   */
+  q31_t arm_linear_interp_q31(
+  const q31_t * pYData,
+  q31_t x,
+  uint32_t nValues);
+
+  /**
+   *
+   * @brief  Process function for the Q15 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q15 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   *
+   */
+  q15_t arm_linear_interp_q15(
+  const q15_t * pYData,
+  q31_t x,
+  uint32_t nValues);
+
+  /**
+   *
+   * @brief  Process function for the Q7 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q7 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   */
+q7_t arm_linear_interp_q7(
+  const q7_t * pYData,
+  q31_t x,
+  uint32_t nValues);
+
+  /**
+   * @} end of LinearInterpolate group
+   */
+
+  
+
+
+  /**
+   * @ingroup groupInterpolation
+   */
+
+
+  /**
+   * @addtogroup BilinearInterpolate
+   * @{
+   */
+
+  /**
+  * @brief  Floating-point bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate.
+  * @param[in]     Y  interpolation coordinate.
+  * @return out interpolated value.
+  */
+  float32_t arm_bilinear_interp_f32(
+  const arm_bilinear_interp_instance_f32 * S,
+  float32_t X,
+  float32_t Y);
+
+  /**
+  * @brief  Q31 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  q31_t arm_bilinear_interp_q31(
+  arm_bilinear_interp_instance_q31 * S,
+  q31_t X,
+  q31_t Y);
+
+
+  /**
+  * @brief  Q15 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  q15_t arm_bilinear_interp_q15(
+  arm_bilinear_interp_instance_q15 * S,
+  q31_t X,
+  q31_t Y);
+
+  /**
+  * @brief  Q7 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  q7_t arm_bilinear_interp_q7(
+  arm_bilinear_interp_instance_q7 * S,
+  q31_t X,
+  q31_t Y);
+  /**
+   * @} end of BilinearInterpolate group
+   */
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _INTERPOLATION_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/interpolation_functions_f16.h

@@ -0,0 +1,107 @@
+/******************************************************************************
+ * @file     interpolation_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _INTERPOLATION_FUNCTIONS_F16_H_
+#define _INTERPOLATION_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+typedef struct
+{
+    uint32_t  nValues;        /**< nValues */
+    float16_t x1;             /**< x1 */
+    float16_t xSpacing;       /**< xSpacing */
+    float16_t *pYData;        /**< pointer to the table of Y values */
+} arm_linear_interp_instance_f16;
+
+/**
+ * @brief Instance structure for the floating-point bilinear interpolation function.
+ */
+typedef struct
+{
+    uint16_t  numRows;/**< number of rows in the data table. */
+    uint16_t  numCols;/**< number of columns in the data table. */
+    float16_t *pData; /**< points to the data table. */
+} arm_bilinear_interp_instance_f16;
+
+  /**
+   * @addtogroup LinearInterpolate
+   * @{
+   */
+
+    /**
+   * @brief  Process function for the floating-point Linear Interpolation Function.
+   * @param[in,out] S  is an instance of the floating-point Linear Interpolation structure
+   * @param[in]     x  input sample to process
+   * @return y processed output sample.
+   *
+   */
+  float16_t arm_linear_interp_f16(
+  arm_linear_interp_instance_f16 * S,
+  float16_t x);
+
+    /**
+   * @} end of LinearInterpolate group
+   */
+
+/**
+   * @addtogroup BilinearInterpolate
+   * @{
+   */
+
+  /**
+  * @brief  Floating-point bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate.
+  * @param[in]     Y  interpolation coordinate.
+  * @return out interpolated value.
+  */
+  float16_t arm_bilinear_interp_f16(
+  const arm_bilinear_interp_instance_f16 * S,
+  float16_t X,
+  float16_t Y);
+
+
+  /**
+   * @} end of BilinearInterpolate group
+   */
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _INTERPOLATION_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/matrix_functions.h

@@ -0,0 +1,757 @@
+/******************************************************************************
+ * @file     matrix_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _MATRIX_FUNCTIONS_H_
+#define _MATRIX_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupMatrix Matrix Functions
+ *
+ * This set of functions provides basic matrix math operations.
+ * The functions operate on matrix data structures.  For example,
+ * the type
+ * definition for the floating-point matrix structure is shown
+ * below:
+ * <pre>
+ *     typedef struct
+ *     {
+ *       uint16_t numRows;     // number of rows of the matrix.
+ *       uint16_t numCols;     // number of columns of the matrix.
+ *       float32_t *pData;     // points to the data of the matrix.
+ *     } arm_matrix_instance_f32;
+ * </pre>
+ * There are similar definitions for Q15 and Q31 data types.
+ *
+ * The structure specifies the size of the matrix and then points to
+ * an array of data.  The array is of size <code>numRows X numCols</code>
+ * and the values are arranged in row order.  That is, the
+ * matrix element (i, j) is stored at:
+ * <pre>
+ *     pData[i*numCols + j]
+ * </pre>
+ *
+ * \par Init Functions
+ * There is an associated initialization function for each type of matrix
+ * data structure.
+ * The initialization function sets the values of the internal structure fields.
+ * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15()
+ * for floating-point, Q31 and Q15 types,  respectively.
+ *
+ * \par
+ * Use of the initialization function is optional. However, if initialization function is used
+ * then the instance structure cannot be placed into a const data section.
+ * To place the instance structure in a const data
+ * section, manually initialize the data structure.  For example:
+ * <pre>
+ * <code>arm_matrix_instance_f32 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q31 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q15 S = {nRows, nColumns, pData};</code>
+ * </pre>
+ * where <code>nRows</code> specifies the number of rows, <code>nColumns</code>
+ * specifies the number of columns, and <code>pData</code> points to the
+ * data array.
+ *
+ * \par Size Checking
+ * By default all of the matrix functions perform size checking on the input and
+ * output matrices. For example, the matrix addition function verifies that the
+ * two input matrices and the output matrix all have the same number of rows and
+ * columns. If the size check fails the functions return:
+ * <pre>
+ *     ARM_MATH_SIZE_MISMATCH
+ * </pre>
+ * Otherwise the functions return
+ * <pre>
+ *     ARM_MATH_SUCCESS
+ * </pre>
+ * There is some overhead associated with this matrix size checking.
+ * The matrix size checking is enabled via the \#define
+ * <pre>
+ *     ARM_MATH_MATRIX_CHECK
+ * </pre>
+ * within the library project settings.  By default this macro is defined
+ * and size checking is enabled. By changing the project settings and
+ * undefining this macro size checking is eliminated and the functions
+ * run a bit faster. With size checking disabled the functions always
+ * return <code>ARM_MATH_SUCCESS</code>.
+ */
+
+  /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float32_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f32;
+ 
+ /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float64_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f64;
+
+ /**
+   * @brief Instance structure for the Q7 matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    q7_t *pData;         /**< points to the data of the matrix. */
+  } arm_matrix_instance_q7;
+
+  /**
+   * @brief Instance structure for the Q15 matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    q15_t *pData;         /**< points to the data of the matrix. */
+  } arm_matrix_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    q31_t *pData;         /**< points to the data of the matrix. */
+  } arm_matrix_instance_q31;
+
+  /**
+   * @brief Floating-point matrix addition.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15 matrix addition.
+   * @param[in]   pSrcA  points to the first input matrix structure
+   * @param[in]   pSrcB  points to the second input matrix structure
+   * @param[out]  pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_add_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q31 matrix addition.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15, complex,  matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t * pScratch);
+
+  /**
+   * @brief Q31, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+        arm_matrix_instance_f32 * pDst);
+
+/**
+   * @brief Floating-point matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_f64(
+  const arm_matrix_instance_f64 * pSrc,
+        arm_matrix_instance_f64 * pDst);
+
+  /**
+   * @brief Floating-point complex matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst);
+
+
+  /**
+   * @brief Q15 matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q15 complex matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q7 matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_q7(
+  const arm_matrix_instance_q7 * pSrc,
+        arm_matrix_instance_q7 * pDst);
+
+  /**
+   * @brief Q31 matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Q31 complex matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Floating-point matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_f64(
+  const arm_matrix_instance_f64 * pSrcA,
+  const arm_matrix_instance_f64 * pSrcB,
+        arm_matrix_instance_f64 * pDst);
+
+  /**
+   * @brief Floating-point matrix and vector multiplication
+   * @param[in]  pSrcMat  points to the input matrix structure
+   * @param[in]  pVec     points to vector
+   * @param[out] pDst     points to output vector
+   */
+void arm_mat_vec_mult_f32(
+  const arm_matrix_instance_f32 *pSrcMat, 
+  const float32_t *pVec, 
+  float32_t *pDst);
+
+  /**
+   * @brief Q7 matrix multiplication
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_q7(
+  const arm_matrix_instance_q7 * pSrcA,
+  const arm_matrix_instance_q7 * pSrcB,
+        arm_matrix_instance_q7 * pDst,
+        q7_t * pState);
+
+  /**
+   * @brief Q7 matrix and vector multiplication
+   * @param[in]  pSrcMat  points to the input matrix structure
+   * @param[in]  pVec     points to vector
+   * @param[out] pDst     points to output vector
+   */
+void arm_mat_vec_mult_q7(
+  const arm_matrix_instance_q7 *pSrcMat, 
+  const q7_t *pVec, 
+  q7_t *pDst);
+
+  /**
+   * @brief Q15 matrix multiplication
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t * pState);
+
+  /**
+   * @brief Q15 matrix and vector multiplication
+   * @param[in]  pSrcMat  points to the input matrix structure
+   * @param[in]  pVec     points to vector
+   * @param[out] pDst     points to output vector
+   */
+void arm_mat_vec_mult_q15(
+  const arm_matrix_instance_q15 *pSrcMat, 
+  const q15_t *pVec, 
+  q15_t *pDst);
+
+  /**
+   * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_fast_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t * pState);
+
+  /**
+   * @brief Q31 matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Q31 matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_opt_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst,
+        q31_t *pState);
+
+  /**
+   * @brief Q31 matrix and vector multiplication
+   * @param[in]  pSrcMat  points to the input matrix structure
+   * @param[in]  pVec     points to vector
+   * @param[out] pDst     points to output vector
+   */
+void arm_mat_vec_mult_q31(
+  const arm_matrix_instance_q31 *pSrcMat, 
+  const q31_t *pVec, 
+  q31_t *pDst);
+
+  /**
+   * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_fast_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Floating-point matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_f64(
+  const arm_matrix_instance_f64 * pSrcA,
+  const arm_matrix_instance_f64 * pSrcB,
+        arm_matrix_instance_f64 * pDst);
+
+  /**
+   * @brief Q15 matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q31 matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix scaling.
+   * @param[in]  pSrc   points to the input matrix
+   * @param[in]  scale  scale factor
+   * @param[out] pDst   points to the output matrix
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+        float32_t scale,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15 matrix scaling.
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_scale_q15(
+  const arm_matrix_instance_q15 * pSrc,
+        q15_t scaleFract,
+        int32_t shift,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q31 matrix scaling.
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_scale_q31(
+  const arm_matrix_instance_q31 * pSrc,
+        q31_t scaleFract,
+        int32_t shift,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief  Q31 matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+void arm_mat_init_q31(
+        arm_matrix_instance_q31 * S,
+        uint16_t nRows,
+        uint16_t nColumns,
+        q31_t * pData);
+
+  /**
+   * @brief  Q15 matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+void arm_mat_init_q15(
+        arm_matrix_instance_q15 * S,
+        uint16_t nRows,
+        uint16_t nColumns,
+        q15_t * pData);
+
+  /**
+   * @brief  Floating-point matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+void arm_mat_init_f32(
+        arm_matrix_instance_f32 * S,
+        uint16_t nRows,
+        uint16_t nColumns,
+        float32_t * pData);
+
+
+
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f32(
+  const arm_matrix_instance_f32 * src,
+  arm_matrix_instance_f32 * dst);
+
+
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f64(
+  const arm_matrix_instance_f64 * src,
+  arm_matrix_instance_f64 * dst);
+
+ /**
+   * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+   * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+   * The decomposition is returning a lower triangular matrix.
+   */
+  arm_status arm_mat_cholesky_f64(
+  const arm_matrix_instance_f64 * src,
+  arm_matrix_instance_f64 * dst);
+
+ /**
+   * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+   * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+   * The decomposition is returning a lower triangular matrix.
+   */
+  arm_status arm_mat_cholesky_f32(
+  const arm_matrix_instance_f32 * src,
+  arm_matrix_instance_f32 * dst);
+
+  /**
+   * @brief Solve UT . X = A where UT is an upper triangular matrix
+   * @param[in]  ut  The upper triangular matrix
+   * @param[in]  a  The matrix a
+   * @param[out] dst The solution X of UT . X = A
+   * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+  */
+  arm_status arm_mat_solve_upper_triangular_f32(
+  const arm_matrix_instance_f32 * ut,
+  const arm_matrix_instance_f32 * a,
+  arm_matrix_instance_f32 * dst);
+
+ /**
+   * @brief Solve LT . X = A where LT is a lower triangular matrix
+   * @param[in]  lt  The lower triangular matrix
+   * @param[in]  a  The matrix a
+   * @param[out] dst The solution X of LT . X = A
+   * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+   */
+  arm_status arm_mat_solve_lower_triangular_f32(
+  const arm_matrix_instance_f32 * lt,
+  const arm_matrix_instance_f32 * a,
+  arm_matrix_instance_f32 * dst);
+
+
+  /**
+   * @brief Solve UT . X = A where UT is an upper triangular matrix
+   * @param[in]  ut  The upper triangular matrix
+   * @param[in]  a  The matrix a
+   * @param[out] dst The solution X of UT . X = A
+   * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+  */
+  arm_status arm_mat_solve_upper_triangular_f64(
+  const arm_matrix_instance_f64 * ut,
+  const arm_matrix_instance_f64 * a,
+  arm_matrix_instance_f64 * dst);
+
+ /**
+   * @brief Solve LT . X = A where LT is a lower triangular matrix
+   * @param[in]  lt  The lower triangular matrix
+   * @param[in]  a  The matrix a
+   * @param[out] dst The solution X of LT . X = A
+   * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+   */
+  arm_status arm_mat_solve_lower_triangular_f64(
+  const arm_matrix_instance_f64 * lt,
+  const arm_matrix_instance_f64 * a,
+  arm_matrix_instance_f64 * dst);
+
+
+  /**
+   * @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] l   points to the instance of the output floating-point triangular matrix structure.
+   * @param[out] d   points to the instance of the output floating-point diagonal matrix structure.
+   * @param[out] p   points to the instance of the output floating-point permutation vector.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+   * The decomposition is returning a lower triangular matrix.
+   */
+  arm_status arm_mat_ldlt_f32(
+  const arm_matrix_instance_f32 * src,
+  arm_matrix_instance_f32 * l,
+  arm_matrix_instance_f32 * d,
+  uint16_t * pp);
+
+ /**
+   * @brief Floating-point LDL decomposition of Symmetric Positive Semi-Definite Matrix.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] l   points to the instance of the output floating-point triangular matrix structure.
+   * @param[out] d   points to the instance of the output floating-point diagonal matrix structure.
+   * @param[out] p   points to the instance of the output floating-point permutation vector.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+   * The decomposition is returning a lower triangular matrix.
+   */
+  arm_status arm_mat_ldlt_f64(
+  const arm_matrix_instance_f64 * src,
+  arm_matrix_instance_f64 * l,
+  arm_matrix_instance_f64 * d,
+  uint16_t * pp);
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _MATRIX_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/matrix_functions_f16.h

@@ -0,0 +1,221 @@
+/******************************************************************************
+ * @file     matrix_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _MATRIX_FUNCTIONS_F16_H_
+#define _MATRIX_FUNCTIONS_F16_H_
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+    
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float16_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f16;
+
+ /**
+   * @brief Floating-point matrix addition.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_add_f16(
+  const arm_matrix_instance_f16 * pSrcA,
+  const arm_matrix_instance_f16 * pSrcB,
+        arm_matrix_instance_f16 * pDst);
+
+  /**
+   * @brief Floating-point, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_mult_f16(
+  const arm_matrix_instance_f16 * pSrcA,
+  const arm_matrix_instance_f16 * pSrcB,
+        arm_matrix_instance_f16 * pDst);
+
+  /**
+   * @brief Floating-point matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_f16(
+  const arm_matrix_instance_f16 * pSrc,
+        arm_matrix_instance_f16 * pDst);
+
+  /**
+   * @brief Floating-point complex matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_trans_f16(
+  const arm_matrix_instance_f16 * pSrc,
+  arm_matrix_instance_f16 * pDst);
+
+  /**
+   * @brief Floating-point matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_f16(
+  const arm_matrix_instance_f16 * pSrcA,
+  const arm_matrix_instance_f16 * pSrcB,
+        arm_matrix_instance_f16 * pDst);
+  /**
+   * @brief Floating-point matrix and vector multiplication
+   * @param[in]  pSrcMat  points to the input matrix structure
+   * @param[in]  pVec     points to vector
+   * @param[out] pDst     points to output vector
+   */
+void arm_mat_vec_mult_f16(
+  const arm_matrix_instance_f16 *pSrcMat, 
+  const float16_t *pVec, 
+  float16_t *pDst);
+
+  /**
+   * @brief Floating-point matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_f16(
+  const arm_matrix_instance_f16 * pSrcA,
+  const arm_matrix_instance_f16 * pSrcB,
+        arm_matrix_instance_f16 * pDst);
+
+  /**
+   * @brief Floating-point matrix scaling.
+   * @param[in]  pSrc   points to the input matrix
+   * @param[in]  scale  scale factor
+   * @param[out] pDst   points to the output matrix
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_scale_f16(
+  const arm_matrix_instance_f16 * pSrc,
+        float16_t scale,
+        arm_matrix_instance_f16 * pDst);
+
+  /**
+   * @brief  Floating-point matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+void arm_mat_init_f16(
+        arm_matrix_instance_f16 * S,
+        uint16_t nRows,
+        uint16_t nColumns,
+        float16_t * pData);
+
+
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f16(
+  const arm_matrix_instance_f16 * src,
+  arm_matrix_instance_f16 * dst);
+
+
+ /**
+   * @brief Floating-point Cholesky decomposition of Symmetric Positive Definite Matrix.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix does not have a decomposition, then the algorithm terminates and returns error status ARM_MATH_DECOMPOSITION_FAILURE.
+   * If the matrix is ill conditioned or only semi-definite, then it is better using the LDL^t decomposition.
+   * The decomposition is returning a lower triangular matrix.
+   */
+  arm_status arm_mat_cholesky_f16(
+  const arm_matrix_instance_f16 * src,
+  arm_matrix_instance_f16 * dst);
+
+ /**
+   * @brief Solve UT . X = A where UT is an upper triangular matrix
+   * @param[in]  ut  The upper triangular matrix
+   * @param[in]  a  The matrix a
+   * @param[out] dst The solution X of UT . X = A
+   * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+  */
+  arm_status arm_mat_solve_upper_triangular_f16(
+  const arm_matrix_instance_f16 * ut,
+  const arm_matrix_instance_f16 * a,
+  arm_matrix_instance_f16 * dst);
+
+ /**
+   * @brief Solve LT . X = A where LT is a lower triangular matrix
+   * @param[in]  lt  The lower triangular matrix
+   * @param[in]  a  The matrix a
+   * @param[out] dst The solution X of LT . X = A
+   * @return The function returns ARM_MATH_SINGULAR, if the system can't be solved.
+   */
+  arm_status arm_mat_solve_lower_triangular_f16(
+  const arm_matrix_instance_f16 * lt,
+  const arm_matrix_instance_f16 * a,
+  arm_matrix_instance_f16 * dst);
+
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _MATRIX_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/none.h

@@ -0,0 +1,576 @@
+/******************************************************************************
+ * @file     none.h
+ * @brief    Intrinsincs when no DSP extension available
+ * @version  V1.9.0
+ * @date     20. July 2020
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/*
+
+Definitions in this file are allowing to reuse some versions of the
+CMSIS-DSP to build on a core (M0 for instance) or a host where
+DSP extension are not available.
+
+Ideally a pure C version should have been used instead.
+But those are not always available or use a restricted set
+of intrinsics.
+
+*/
+ 
+#ifndef _NONE_H_
+#define _NONE_H_
+
+#include "arm_math_types.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+ 
+
+/*
+
+Normally those kind of definitions are in a compiler file
+in Core or Core_A.
+
+But for MSVC compiler it is a bit special. The goal is very specific
+to CMSIS-DSP and only to allow the use of this library from other
+systems like Python or Matlab.
+
+MSVC is not going to be used to cross-compile to ARM. So, having a MSVC
+compiler file in Core or Core_A would not make sense.
+
+*/
+#if defined ( _MSC_VER ) || defined(__GNUC_PYTHON__) || defined(__APPLE_CC__)
+    __STATIC_FORCEINLINE uint8_t __CLZ(uint32_t data)
+    {
+      if (data == 0U) { return 32U; }
+
+      uint32_t count = 0U;
+      uint32_t mask = 0x80000000U;
+
+      while ((data & mask) == 0U)
+      {
+        count += 1U;
+        mask = mask >> 1U;
+      }
+      return count;
+    }
+
+  __STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat)
+  {
+    if ((sat >= 1U) && (sat <= 32U))
+    {
+      const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U);
+      const int32_t min = -1 - max ;
+      if (val > max)
+      {
+        return max;
+      }
+      else if (val < min)
+      {
+        return min;
+      }
+    }
+    return val;
+  }
+
+  __STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat)
+  {
+    if (sat <= 31U)
+    {
+      const uint32_t max = ((1U << sat) - 1U);
+      if (val > (int32_t)max)
+      {
+        return max;
+      }
+      else if (val < 0)
+      {
+        return 0U;
+      }
+    }
+    return (uint32_t)val;
+  }
+
+ /**
+  \brief   Rotate Right in unsigned value (32 bit)
+  \details Rotate Right (immediate) provides the value of the contents of a register rotated by a variable number of bits.
+  \param [in]    op1  Value to rotate
+  \param [in]    op2  Number of Bits to rotate
+  \return               Rotated value
+ */
+__STATIC_FORCEINLINE uint32_t __ROR(uint32_t op1, uint32_t op2)
+{
+  op2 %= 32U;
+  if (op2 == 0U)
+  {
+    return op1;
+  }
+  return (op1 >> op2) | (op1 << (32U - op2));
+}
+
+
+#endif
+
+/**
+   * @brief Clips Q63 to Q31 values.
+   */
+  __STATIC_FORCEINLINE q31_t clip_q63_to_q31(
+  q63_t x)
+  {
+    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+      ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;
+  }
+
+  /**
+   * @brief Clips Q63 to Q15 values.
+   */
+  __STATIC_FORCEINLINE q15_t clip_q63_to_q15(
+  q63_t x)
+  {
+    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+      ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);
+  }
+
+  /**
+   * @brief Clips Q31 to Q7 values.
+   */
+  __STATIC_FORCEINLINE q7_t clip_q31_to_q7(
+  q31_t x)
+  {
+    return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?
+      ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;
+  }
+
+  /**
+   * @brief Clips Q31 to Q15 values.
+   */
+  __STATIC_FORCEINLINE q15_t clip_q31_to_q15(
+  q31_t x)
+  {
+    return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?
+      ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;
+  }
+
+  /**
+   * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.
+   */
+  __STATIC_FORCEINLINE q63_t mult32x64(
+  q63_t x,
+  q31_t y)
+  {
+    return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
+            (((q63_t) (x >> 32)                * y)      )  );
+  }
+
+/* SMMLAR */
+#define multAcc_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMLSR */
+#define multSub_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMULR */
+#define mult_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)
+
+/* SMMLA */
+#define multAcc_32x32_keep32(a, x, y) \
+    a += (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMLS */
+#define multSub_32x32_keep32(a, x, y) \
+    a -= (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMUL */
+#define mult_32x32_keep32(a, x, y) \
+    a = (q31_t) (((q63_t) x * y ) >> 32)
+
+#ifndef ARM_MATH_DSP
+  /**
+   * @brief definition to pack two 16 bit values.
+   */
+  #define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) <<    0) & (int32_t)0x0000FFFF) | \
+                                      (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000)  )
+  #define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) <<    0) & (int32_t)0xFFFF0000) | \
+                                      (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF)  )
+#endif
+
+   /**
+   * @brief definition to pack four 8 bit values.
+   */
+#ifndef ARM_MATH_BIG_ENDIAN
+  #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) | \
+                                  (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) | \
+                                  (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \
+                                  (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )
+#else
+  #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) | \
+                                  (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) | \
+                                  (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \
+                                  (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )
+#endif
+
+
+ 
+
+/*
+ * @brief C custom defined intrinsic functions
+ */
+#if !defined (ARM_MATH_DSP)
+
+
+  /*
+   * @brief C custom defined QADD8
+   */
+  __STATIC_FORCEINLINE uint32_t __QADD8(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s, t, u;
+
+    r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) + (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) + (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB8
+   */
+  __STATIC_FORCEINLINE uint32_t __QSUB8(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s, t, u;
+
+    r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) - (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) - (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QADD16
+   */
+  __STATIC_FORCEINLINE uint32_t __QADD16(
+  uint32_t x,
+  uint32_t y)
+  {
+/*  q31_t r,     s;  without initialisation 'arm_offset_q15 test' fails  but 'intrinsic' tests pass! for armCC */
+    q31_t r = 0, s = 0;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHADD16
+   */
+  __STATIC_FORCEINLINE uint32_t __SHADD16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB16
+   */
+  __STATIC_FORCEINLINE uint32_t __QSUB16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHSUB16
+   */
+  __STATIC_FORCEINLINE uint32_t __SHSUB16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QASX
+   */
+  __STATIC_FORCEINLINE uint32_t __QASX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHASX
+   */
+  __STATIC_FORCEINLINE uint32_t __SHASX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSAX
+   */
+  __STATIC_FORCEINLINE uint32_t __QSAX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHSAX
+   */
+  __STATIC_FORCEINLINE uint32_t __SHSAX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SMUSDX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUSDX(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
+  }
+
+  /*
+   * @brief C custom defined SMUADX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUADX(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined QADD
+   */
+  __STATIC_FORCEINLINE int32_t __QADD(
+  int32_t x,
+  int32_t y)
+  {
+    return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y)));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB
+   */
+  __STATIC_FORCEINLINE int32_t __QSUB(
+  int32_t x,
+  int32_t y)
+  {
+    return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y)));
+  }
+
+
+  /*
+   * @brief C custom defined SMLAD
+   */
+  __STATIC_FORCEINLINE uint32_t __SMLAD(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLADX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMLADX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLSDX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMLSDX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLALD
+   */
+  __STATIC_FORCEINLINE uint64_t __SMLALD(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
+  {
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLALDX
+   */
+  __STATIC_FORCEINLINE uint64_t __SMLALDX(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
+  {
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMUAD
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUAD(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMUSD
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUSD(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined SXTB16
+   */
+  __STATIC_FORCEINLINE uint32_t __SXTB16(
+  uint32_t x)
+  {
+    return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) |
+                       ((((q31_t)x <<  8) >>  8) & (q31_t)0xFFFF0000)  ));
+  }
+
+  /*
+   * @brief C custom defined SMMLA
+   */
+  __STATIC_FORCEINLINE int32_t __SMMLA(
+  int32_t x,
+  int32_t y,
+  int32_t sum)
+  {
+    return (sum + (int32_t) (((int64_t) x * y) >> 32));
+  }
+
+#endif /* !defined (ARM_MATH_DSP) */
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/quaternion_math_functions.h

@@ -0,0 +1,159 @@
+/******************************************************************************
+ * @file     quaternion_math_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2021 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _QUATERNION_MATH_FUNCTIONS_H_
+#define _QUATERNION_MATH_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupQuaternionMath Quaternion Math Functions
+ * Functions to operates on quaternions and convert between a
+ * rotation and quaternion representation.
+ */
+
+
+/**
+  @brief         Floating-point quaternion Norm.
+  @param[in]     pInputQuaternions       points to the input vector of quaternions
+  @param[out]    pNorms                  points to the output vector of norms
+  @param[in]     nbQuaternions           number of quaternions in each vector
+  @return        none
+ */
+
+
+
+void arm_quaternion_norm_f32(const float32_t *pInputQuaternions, 
+    float32_t *pNorms,
+    uint32_t nbQuaternions);
+
+
+/**
+  @brief         Floating-point quaternion inverse.
+  @param[in]     pInputQuaternions            points to the input vector of quaternions
+  @param[out]    pInverseQuaternions          points to the output vector of inverse quaternions
+  @param[in]     nbQuaternions                number of quaternions in each vector
+  @return        none
+ */
+
+void arm_quaternion_inverse_f32(const float32_t *pInputQuaternions, 
+    float32_t *pInverseQuaternions, 
+    uint32_t nbQuaternions);
+
+/**
+  @brief         Floating-point quaternion conjugates.
+  @param[in]     pInputQuaternions            points to the input vector of quaternions
+  @param[out]    pConjugateQuaternions        points to the output vector of conjugate quaternions
+  @param[in]     nbQuaternions                number of quaternions in each vector
+  @return        none
+ */
+void arm_quaternion_conjugate_f32(const float32_t *inputQuaternions, 
+    float32_t *pConjugateQuaternions, 
+    uint32_t nbQuaternions);
+
+/**
+  @brief         Floating-point normalization of quaternions.
+  @param[in]     pInputQuaternions            points to the input vector of quaternions
+  @param[out]    pNormalizedQuaternions       points to the output vector of normalized quaternions
+  @param[in]     nbQuaternions                number of quaternions in each vector
+  @return        none
+ */
+void arm_quaternion_normalize_f32(const float32_t *inputQuaternions, 
+    float32_t *pNormalizedQuaternions, 
+    uint32_t nbQuaternions);
+
+
+/**
+  @brief         Floating-point product of two quaternions.
+  @param[in]     qa       First quaternion
+  @param[in]     qb       Second quaternion
+  @param[out]    r        Product of two quaternions
+  @return        none
+ */
+void arm_quaternion_product_single_f32(const float32_t *qa, 
+    const float32_t *qb, 
+    float32_t *r);
+
+/**
+  @brief         Floating-point elementwise product two quaternions.
+  @param[in]     qa                  First array of quaternions
+  @param[in]     qb                  Second array of quaternions
+  @param[out]    r                   Elementwise product of quaternions
+  @param[in]     nbQuaternions       Number of quaternions in the array
+  @return        none
+ */
+void arm_quaternion_product_f32(const float32_t *qa, 
+    const float32_t *qb, 
+    float32_t *r,
+    uint32_t nbQuaternions);
+
+/**
+ * @brief Conversion of quaternion to equivalent rotation matrix.
+ * @param[in]       pInputQuaternions points to an array of normalized quaternions
+ * @param[out]      pOutputRotations points to an array of 3x3 rotations (in row order)
+ * @param[in]       nbQuaternions in the array
+ * @return none.
+ *
+ * <b>Format of rotation matrix</b>
+ * \par
+ * The quaternion a + ib + jc + kd is converted into rotation matrix:
+ *   a^2 + b^2 - c^2 - d^2                 2bc - 2ad                 2bd + 2ac
+ *               2bc + 2ad     a^2 - b^2 + c^2 - d^2                 2cd - 2ab
+ *               2bd - 2ac                 2cd + 2ab     a^2 - b^2 - c^2 + d^2
+ *
+ * Rotation matrix is saved in row order : R00 R01 R02 R10 R11 R12 R20 R21 R22
+ */
+void arm_quaternion2rotation_f32(const float32_t *pInputQuaternions, 
+    float32_t *pOutputRotations, 
+    uint32_t nbQuaternions);
+
+/**
+ * @brief Conversion of a rotation matrix to equivalent quaternion.
+ * @param[in]       pInputRotations points to an array 3x3 rotation matrix (in row order)
+ * @param[out]      pOutputQuaternions points to an array of quaternions
+ * @param[in]       nbQuaternions in the array
+ * @return none.
+*/
+void arm_rotation2quaternion_f32(const float32_t *pInputRotations, 
+    float32_t *pOutputQuaternions,  
+    uint32_t nbQuaternions);
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _QUATERNION_MATH_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/statistics_functions.h

@@ -0,0 +1,977 @@
+/******************************************************************************
+ * @file     statistics_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _STATISTICS_FUNCTIONS_H_
+#define _STATISTICS_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions.h"
+#include "dsp/fast_math_functions.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupStats Statistics Functions
+ */
+
+/**
+ * @brief Computation of the LogSumExp
+ *
+ * In probabilistic computations, the dynamic of the probability values can be very
+ * wide because they come from gaussian functions.
+ * To avoid underflow and overflow issues, the values are represented by their log.
+ * In this representation, multiplying the original exp values is easy : their logs are added.
+ * But adding the original exp values is requiring some special handling and it is the
+ * goal of the LogSumExp function.
+ *
+ * If the values are x1...xn, the function is computing:
+ *
+ * ln(exp(x1) + ... + exp(xn)) and the computation is done in such a way that
+ * rounding issues are minimised.
+ *
+ * The max xm of the values is extracted and the function is computing:
+ * xm + ln(exp(x1 - xm) + ... + exp(xn - xm))
+ *
+ * @param[in]  *in         Pointer to an array of input values.
+ * @param[in]  blockSize   Number of samples in the input array.
+ * @return LogSumExp
+ *
+ */
+
+
+float32_t arm_logsumexp_f32(const float32_t *in, uint32_t blockSize);
+
+/**
+ * @brief Dot product with log arithmetic
+ *
+ * Vectors are containing the log of the samples
+ *
+ * @param[in]       pSrcA points to the first input vector
+ * @param[in]       pSrcB points to the second input vector
+ * @param[in]       blockSize number of samples in each vector
+ * @param[in]       pTmpBuffer temporary buffer of length blockSize
+ * @return The log of the dot product .
+ *
+ */
+
+
+float32_t arm_logsumexp_dot_prod_f32(const float32_t * pSrcA,
+  const float32_t * pSrcB,
+  uint32_t blockSize,
+  float32_t *pTmpBuffer);
+
+/**
+ * @brief Entropy
+ *
+ * @param[in]  pSrcA        Array of input values.
+ * @param[in]  blockSize    Number of samples in the input array.
+ * @return     Entropy      -Sum(p ln p)
+ *
+ */
+
+
+float32_t arm_entropy_f32(const float32_t * pSrcA,uint32_t blockSize);
+
+
+/**
+ * @brief Entropy
+ *
+ * @param[in]  pSrcA        Array of input values.
+ * @param[in]  blockSize    Number of samples in the input array.
+ * @return     Entropy      -Sum(p ln p)
+ *
+ */
+
+
+float64_t arm_entropy_f64(const float64_t * pSrcA, uint32_t blockSize);
+
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in]  pSrcA         Pointer to an array of input values for probability distribution A.
+ * @param[in]  pSrcB         Pointer to an array of input values for probability distribution B.
+ * @param[in]  blockSize     Number of samples in the input array.
+ * @return Kullback-Leibler  Divergence D(A || B)
+ *
+ */
+float32_t arm_kullback_leibler_f32(const float32_t * pSrcA
+  ,const float32_t * pSrcB
+  ,uint32_t blockSize);
+
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in]  pSrcA         Pointer to an array of input values for probability distribution A.
+ * @param[in]  pSrcB         Pointer to an array of input values for probability distribution B.
+ * @param[in]  blockSize     Number of samples in the input array.
+ * @return Kullback-Leibler  Divergence D(A || B)
+ *
+ */
+float64_t arm_kullback_leibler_f64(const float64_t * pSrcA, 
+                const float64_t * pSrcB, 
+                uint32_t blockSize);
+
+
+ /**
+   * @brief  Sum of the squares of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q63_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q63_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  
+  /**
+   * @brief  Minimum value of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] result     is output pointer
+   * @param[in]  index      is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * result,
+        uint32_t * index);
+
+  /**
+   * @brief  Minimum value of absolute values of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] result     is output pointer
+   * @param[in]  index      is the array index of the minimum value in the input buffer.
+   */
+  void arm_absmin_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * result,
+        uint32_t * index);
+
+    /**
+   * @brief  Minimum value of absolute values of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] result     is output pointer
+   */
+  void arm_absmin_no_idx_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * result);
+
+
+  /**
+   * @brief  Minimum value of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[in]  pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex);
+
+/**
+   * @brief  Minimum value of absolute values of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[in]  pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_absmin_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex);
+
+  /**
+   * @brief  Minimum value of absolute values of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   */
+  void arm_absmin_no_idx_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Minimum value of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex);
+
+  /**
+   * @brief  Minimum value of absolute values of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_absmin_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex);
+
+ /**
+   * @brief  Minimum value of absolute values of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   */
+  void arm_absmin_no_idx_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Minimum value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex);
+
+  /**
+   * @brief  Minimum value of absolute values of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_absmin_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex);
+
+  /**
+   * @brief  Minimum value of absolute values of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   */
+  void arm_absmin_no_idx_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Minimum value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult,
+        uint32_t * pIndex);
+
+  /**
+   * @brief  Minimum value of absolute values of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_absmin_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult,
+        uint32_t * pIndex);
+
+  /**
+   * @brief  Minimum value of absolute values of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   */
+  void arm_absmin_no_idx_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult);
+
+
+/**
+ * @brief Maximum value of a Q7 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q7 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_absmax_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q7 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ */
+  void arm_absmax_no_idx_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult);
+
+
+/**
+ * @brief Maximum value of a Q15 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q15 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_absmax_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex);
+
+  /**
+ * @brief Maximum value of absolute values of a Q15 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ */
+  void arm_absmax_no_idx_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+/**
+ * @brief Maximum value of a Q31 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a Q31 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_absmax_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex);
+
+ /**
+ * @brief Maximum value of absolute values of a Q31 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ */
+  void arm_absmax_no_idx_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_absmax_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex);
+
+ /**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ */
+  void arm_absmax_no_idx_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_absmax_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ */
+  void arm_absmax_no_idx_f64(
+  const float64_t * pSrc,
+        uint32_t blockSize,
+        float64_t * pResult);
+
+  /**
+    @brief         Maximum value of a floating-point vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    maximum value returned here
+    @return        none
+   */
+  void arm_max_no_idx_f32(
+      const float32_t *pSrc,
+      uint32_t   blockSize,
+      float32_t *pResult);
+
+  /**
+    @brief         Minimum value of a floating-point vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    minimum value returned here
+    @return        none
+   */
+  void arm_min_no_idx_f32(
+      const float32_t *pSrc,
+      uint32_t   blockSize,
+      float32_t *pResult);
+
+  /**
+    @brief         Maximum value of a floating-point vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    maximum value returned here
+    @return        none
+   */
+  void arm_max_no_idx_f64(
+      const float64_t *pSrc,
+      uint32_t   blockSize,
+      float64_t *pResult);
+
+  /**
+    @brief         Maximum value of a q31 vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    maximum value returned here
+    @return        none
+   */
+  void arm_max_no_idx_q31(
+      const q31_t *pSrc,
+      uint32_t   blockSize,
+      q31_t *pResult);
+
+  /**
+    @brief         Maximum value of a q15 vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    maximum value returned here
+    @return        none
+   */
+  void arm_max_no_idx_q15(
+      const q15_t *pSrc,
+      uint32_t   blockSize,
+      q15_t *pResult);
+
+  /**
+    @brief         Maximum value of a q7 vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    maximum value returned here
+    @return        none
+   */
+  void arm_max_no_idx_q7(
+      const q7_t *pSrc,
+      uint32_t   blockSize,
+      q7_t *pResult);
+
+  /**
+    @brief         Minimum value of a floating-point vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    minimum value returned here
+    @return        none
+   */
+  void arm_min_no_idx_f64(
+      const float64_t *pSrc,
+      uint32_t   blockSize,
+      float64_t *pResult);
+
+/**
+    @brief         Minimum value of a q31 vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    minimum value returned here
+    @return        none
+   */
+  void arm_min_no_idx_q31(
+      const q31_t *pSrc,
+      uint32_t   blockSize,
+      q31_t *pResult);
+
+  /**
+    @brief         Minimum value of a q15 vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    minimum value returned here
+    @return        none
+   */
+  void arm_min_no_idx_q15(
+      const q15_t *pSrc,
+      uint32_t   blockSize,
+      q15_t *pResult);
+
+  /**
+    @brief         Minimum value of a q7 vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    minimum value returned here
+    @return        none
+   */
+  void arm_min_no_idx_q7(
+      const q7_t *pSrc,
+      uint32_t   blockSize,
+      q7_t *pResult);
+
+/**
+  @brief         Mean square error between two Q7 vectors.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean square error
+  @return        none 
+*/
+  
+void arm_mse_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        uint32_t blockSize,
+        q7_t * pResult);
+
+/**
+  @brief         Mean square error between two Q15 vectors.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean square error
+  @return        none 
+*/
+  
+void arm_mse_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+/**
+  @brief         Mean square error between two Q31 vectors.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean square error
+  @return        none 
+*/
+  
+void arm_mse_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+/**
+  @brief         Mean square error between two single precision float vectors.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean square error
+  @return        none 
+*/
+  
+void arm_mse_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+/**
+  @brief         Mean square error between two double precision float vectors.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean square error
+  @return        none 
+*/
+  
+void arm_mse_f64(
+  const float64_t * pSrcA,
+  const float64_t * pSrcB,
+        uint32_t blockSize,
+        float64_t * pResult);
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _STATISTICS_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/statistics_functions_f16.h

@@ -0,0 +1,266 @@
+/******************************************************************************
+ * @file     statistics_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _STATISTICS_FUNCTIONS_F16_H_
+#define _STATISTICS_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions_f16.h"
+#include "dsp/fast_math_functions_f16.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+ /**
+   * @brief  Sum of the squares of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+ /**
+   * @brief  Mean value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+  /**
+   * @brief  Variance of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+ /**
+   * @brief  Root Mean Square of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+ /**
+   * @brief  Standard deviation of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+ /**
+   * @brief  Minimum value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult,
+        uint32_t * pIndex);
+
+ /**
+   * @brief  Minimum value of absolute values of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_absmin_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult,
+        uint32_t * pIndex);
+
+/**
+ * @brief Maximum value of absolute values of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_absmax_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult,
+        uint32_t * pIndex);
+
+    /**
+   * @brief  Minimum value of absolute values of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   */
+  void arm_absmin_no_idx_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ */
+  void arm_absmax_no_idx_f16(
+  const float16_t * pSrc,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+
+/**
+ * @brief Entropy
+ *
+ * @param[in]  pSrcA        Array of input values.
+ * @param[in]  blockSize    Number of samples in the input array.
+ * @return     Entropy      -Sum(p ln p)
+ *
+ */
+
+
+float16_t arm_entropy_f16(const float16_t * pSrcA,uint32_t blockSize);
+
+float16_t arm_logsumexp_f16(const float16_t *in, uint32_t blockSize);
+
+/**
+ * @brief Dot product with log arithmetic
+ *
+ * Vectors are containing the log of the samples
+ *
+ * @param[in]       pSrcA points to the first input vector
+ * @param[in]       pSrcB points to the second input vector
+ * @param[in]       blockSize number of samples in each vector
+ * @param[in]       pTmpBuffer temporary buffer of length blockSize
+ * @return The log of the dot product .
+ *
+ */
+
+
+float16_t arm_logsumexp_dot_prod_f16(const float16_t * pSrcA,
+  const float16_t * pSrcB,
+  uint32_t blockSize,
+  float16_t *pTmpBuffer);
+
+/**
+ * @brief Kullback-Leibler
+ *
+ * @param[in]  pSrcA         Pointer to an array of input values for probability distribution A.
+ * @param[in]  pSrcB         Pointer to an array of input values for probability distribution B.
+ * @param[in]  blockSize     Number of samples in the input array.
+ * @return Kullback-Leibler  Divergence D(A || B)
+ *
+ */
+float16_t arm_kullback_leibler_f16(const float16_t * pSrcA
+  ,const float16_t * pSrcB
+  ,uint32_t blockSize);
+
+/**
+    @brief         Maximum value of a floating-point vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    maximum value returned here
+    @return        none
+   */
+  void arm_max_no_idx_f16(
+      const float16_t *pSrc,
+      uint32_t   blockSize,
+      float16_t *pResult);
+
+/**
+    @brief         Minimum value of a floating-point vector.
+    @param[in]     pSrc       points to the input vector
+    @param[in]     blockSize  number of samples in input vector
+    @param[out]    pResult    minimum value returned here
+    @return        none
+   */
+  void arm_min_no_idx_f16(
+      const float16_t *pSrc,
+      uint32_t   blockSize,
+      float16_t *pResult);
+
+/**
+  @brief         Mean square error between two half precision float vectors.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean square error
+  @return        none 
+*/
+  
+void arm_mse_f16(
+  const float16_t * pSrcA,
+  const float16_t * pSrcB,
+        uint32_t blockSize,
+        float16_t * pResult);
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _STATISTICS_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/support_functions.h

@@ -0,0 +1,453 @@
+/******************************************************************************
+ * @file     support_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _SUPPORT_FUNCTIONS_H_
+#define _SUPPORT_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+/**
+ * @defgroup groupSupport Support Functions
+ */
+
+
+/**
+   * @brief Converts the elements of the floating-point vector to Q31 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q31 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q31(
+  const float32_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q15 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q15 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q15(
+  const float32_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q7 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q7 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q7(
+  const float32_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_float(
+  const q31_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_q15(
+  const q31_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_q7(
+  const q31_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_float(
+  const q15_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_q31(
+  const q15_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_q7(
+  const q15_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q7_to_float(
+  const q7_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to Q31 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_q7_to_q31(
+  const q7_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to Q15 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_q7_to_q15(
+  const q7_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+
+
+  
+  /**
+   * @brief Struct for specifying sorting algorithm
+   */
+  typedef enum
+  {
+    ARM_SORT_BITONIC   = 0,
+             /**< Bitonic sort   */
+    ARM_SORT_BUBBLE    = 1,
+             /**< Bubble sort    */
+    ARM_SORT_HEAP      = 2,
+             /**< Heap sort      */
+    ARM_SORT_INSERTION = 3,
+             /**< Insertion sort */
+    ARM_SORT_QUICK     = 4,
+             /**< Quick sort     */
+    ARM_SORT_SELECTION = 5
+             /**< Selection sort */
+  } arm_sort_alg;
+
+  /**
+   * @brief Struct for specifying sorting algorithm
+   */
+  typedef enum
+  {
+    ARM_SORT_DESCENDING = 0,
+             /**< Descending order (9 to 0) */
+    ARM_SORT_ASCENDING = 1
+             /**< Ascending order (0 to 9) */
+  } arm_sort_dir;
+
+  /**
+   * @brief Instance structure for the sorting algorithms.
+   */
+  typedef struct            
+  {
+    arm_sort_alg alg;        /**< Sorting algorithm selected */
+    arm_sort_dir dir;        /**< Sorting order (direction)  */
+  } arm_sort_instance_f32;  
+
+  /**
+   * @param[in]  S          points to an instance of the sorting structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_sort_f32(
+    const arm_sort_instance_f32 * S, 
+          float32_t * pSrc, 
+          float32_t * pDst, 
+          uint32_t blockSize);
+
+  /**
+   * @param[in,out]  S            points to an instance of the sorting structure.
+   * @param[in]      alg          Selected algorithm.
+   * @param[in]      dir          Sorting order.
+   */
+  void arm_sort_init_f32(
+    arm_sort_instance_f32 * S, 
+    arm_sort_alg alg, 
+    arm_sort_dir dir); 
+
+  /**
+   * @brief Instance structure for the sorting algorithms.
+   */
+  typedef struct            
+  {
+    arm_sort_dir dir;        /**< Sorting order (direction)  */
+    float32_t * buffer;      /**< Working buffer */
+  } arm_merge_sort_instance_f32;  
+
+  /**
+   * @param[in]      S          points to an instance of the sorting structure.
+   * @param[in,out]  pSrc       points to the block of input data.
+   * @param[out]     pDst       points to the block of output data
+   * @param[in]      blockSize  number of samples to process.
+   */
+  void arm_merge_sort_f32(
+    const arm_merge_sort_instance_f32 * S,
+          float32_t *pSrc,
+          float32_t *pDst,
+          uint32_t blockSize);
+
+  /**
+   * @param[in,out]  S            points to an instance of the sorting structure.
+   * @param[in]      dir          Sorting order.
+   * @param[in]      buffer       Working buffer.
+   */
+  void arm_merge_sort_init_f32(
+    arm_merge_sort_instance_f32 * S,
+    arm_sort_dir dir,
+    float32_t * buffer);
+
+ 
+ 
+  /**
+   * @brief  Copies the elements of a floating-point vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+ 
+ 
+  /**
+   * @brief  Copies the elements of a floating-point vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_f64(
+  const float64_t * pSrc,
+        float64_t * pDst,
+        uint32_t blockSize);
+
+
+
+  /**
+   * @brief  Copies the elements of a Q7 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q15 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q31 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a floating-point vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_f32(
+        float32_t value,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a floating-point vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_f64(
+        float64_t value,
+        float64_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q7 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q7(
+        q7_t value,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q15 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q15(
+        q15_t value,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q31 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q31(
+        q31_t value,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+
+
+
+
+
+/**
+ * @brief Weighted sum
+ *
+ *
+ * @param[in]    *in           Array of input values.
+ * @param[in]    *weigths      Weights
+ * @param[in]    blockSize     Number of samples in the input array.
+ * @return Weighted sum
+ *
+ */
+float32_t arm_weighted_sum_f32(const float32_t *in
+  , const float32_t *weigths
+  , uint32_t blockSize);
+
+
+/**
+ * @brief Barycenter
+ *
+ *
+ * @param[in]    in         List of vectors
+ * @param[in]    weights    Weights of the vectors
+ * @param[out]   out        Barycenter
+ * @param[in]    nbVectors  Number of vectors
+ * @param[in]    vecDim     Dimension of space (vector dimension)
+ * @return       None
+ *
+ */
+void arm_barycenter_f32(const float32_t *in
+  , const float32_t *weights
+  , float32_t *out
+  , uint32_t nbVectors
+  , uint32_t vecDim);
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _SUPPORT_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/support_functions_f16.h

@@ -0,0 +1,187 @@
+/******************************************************************************
+ * @file     support_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _SUPPORT_FUNCTIONS_F16_H_
+#define _SUPPORT_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+  /**
+   * @brief  Copies the elements of a floating-point vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+void arm_copy_f16(const float16_t * pSrc, float16_t * pDst, uint32_t blockSize);
+
+  /**
+   * @brief  Fills a constant value into a floating-point vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+void arm_fill_f16(float16_t value, float16_t * pDst, uint32_t blockSize);
+
+/**
+   * @brief Converts the elements of the floating-point vector to Q31 vector.
+   * @param[in]  pSrc       points to the f16 input vector
+   * @param[out] pDst       points to the q15 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+void arm_f16_to_q15(const float16_t * pSrc, q15_t * pDst, uint32_t blockSize);
+
+/**
+   * @brief Converts the elements of the floating-point vector to Q31 vector.
+   * @param[in]  pSrc       points to the q15 input vector
+   * @param[out] pDst       points to the f16 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+void arm_q15_to_f16(const q15_t * pSrc, float16_t * pDst, uint32_t blockSize);
+
+
+/**
+   * @brief Converts the elements of the floating-point vector to Q31 vector.
+   * @param[in]  pSrc       points to the f32 input vector
+   * @param[out] pDst       points to the f16 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+void arm_float_to_f16(const float32_t * pSrc, float16_t * pDst, uint32_t blockSize);
+
+/**
+   * @brief Converts the elements of the floating-point vector to Q31 vector.
+   * @param[in]  pSrc       points to the f16 input vector
+   * @param[out] pDst       points to the f32 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+void arm_f16_to_float(const float16_t * pSrc, float32_t * pDst, uint32_t blockSize);
+
+/**
+ * @brief Weighted sum
+ *
+ *
+ * @param[in]    *in           Array of input values.
+ * @param[in]    *weigths      Weights
+ * @param[in]    blockSize     Number of samples in the input array.
+ * @return Weighted sum
+ *
+ */
+float16_t arm_weighted_sum_f16(const float16_t *in
+  , const float16_t *weigths
+  , uint32_t blockSize);
+
+/**
+ * @brief Barycenter
+ *
+ *
+ * @param[in]    in         List of vectors
+ * @param[in]    weights    Weights of the vectors
+ * @param[out]   out        Barycenter
+ * @param[in]    nbVectors  Number of vectors
+ * @param[in]    vecDim     Dimension of space (vector dimension)
+ * @return       None
+ *
+ */
+void arm_barycenter_f16(const float16_t *in
+  , const float16_t *weights
+  , float16_t *out
+  , uint32_t nbVectors
+  , uint32_t vecDim);
+
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+ * @defgroup typecast Typecasting
+ */
+
+/**
+  @addtogroup typecast
+  @{
+ */
+
+/**
+   * @brief  Interpret a f16 as an s16 value
+   * @param[in] x  input value.
+   * @return  return value.
+   * 
+   * @par    Description
+   *            It is a typecast. No conversion of the float to int is done.
+   *            The memcpy will be optimized out by the compiler.
+   *            memcpy is used to prevent type punning issues.
+   *            With gcc, -fno-builtins MUST not be used or the
+   *            memcpy will not be optimized out.
+   */
+__STATIC_INLINE int16_t arm_typecast_s16_f16(float16_t x)
+{
+   int16_t res;
+   res=*(int16_t*)memcpy((char*)&res,(char*)&x,sizeof(float16_t));
+   return(res);
+}
+
+/**
+   * @brief  Interpret an s16 as an f16 value
+   * @param[in] x  input value.
+   * @return  return value.
+   * 
+   * @par    Description
+   *            It is a typecast. No conversion of the int to float is done.
+   *            The memcpy will be optimized out by the compiler.
+   *            memcpy is used to prevent type punning issues.
+   *            With gcc, -fno-builtins MUST not be used or the
+   *            memcpy will not be optimized out.
+   */
+__STATIC_INLINE float16_t arm_typecast_f16_s16(int16_t x)
+{
+   float16_t res;
+   res=*(float16_t*)memcpy((char*)&res,(char*)&x,sizeof(int16_t));
+   return(res);
+}
+
+
+/**
+  @} end of typecast group
+ */
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _SUPPORT_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/svm_defines.h

@@ -0,0 +1,46 @@
+/******************************************************************************
+ * @file     svm_defines.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _SVM_DEFINES_H_
+#define _SVM_DEFINES_H_
+
+/**
+ * @brief Struct for specifying SVM Kernel
+ */
+typedef enum
+{
+    ARM_ML_KERNEL_LINEAR = 0,
+             /**< Linear kernel */
+    ARM_ML_KERNEL_POLYNOMIAL = 1,
+             /**< Polynomial kernel */
+    ARM_ML_KERNEL_RBF = 2,
+             /**< Radial Basis Function kernel */
+    ARM_ML_KERNEL_SIGMOID = 3
+             /**< Sigmoid kernel */
+} arm_ml_kernel_type;
+
+#endif

Drivers/CMSIS/DSP/Include/dsp/svm_functions.h

@@ -0,0 +1,299 @@
+/******************************************************************************
+ * @file     svm_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _SVM_FUNCTIONS_H_
+#define _SVM_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+#include "dsp/svm_defines.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#define STEP(x) (x) <= 0 ? 0 : 1
+
+/**
+ * @defgroup groupSVM SVM Functions
+ * This set of functions is implementing SVM classification on 2 classes.
+ * The training must be done from scikit-learn. The parameters can be easily
+ * generated from the scikit-learn object. Some examples are given in
+ * DSP/Testing/PatternGeneration/SVM.py
+ *
+ * If more than 2 classes are needed, the functions in this folder 
+ * will have to be used, as building blocks, to do multi-class classification.
+ *
+ * No multi-class classification is provided in this SVM folder.
+ * 
+ */
+
+/**
+ * @brief Integer exponentiation
+ * @param[in]    x           value
+ * @param[in]    nb          integer exponent >= 1
+ * @return x^nb
+ *
+ */
+__STATIC_INLINE float32_t arm_exponent_f32(float32_t x, int32_t nb)
+{
+    float32_t r = x;
+    nb --;
+    while(nb > 0)
+    {
+        r = r * x;
+        nb--;
+    }
+    return(r);
+}
+
+  
+
+
+
+/**
+ * @brief Instance structure for linear SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float32_t       intercept;              /**< Intercept */
+  const float32_t *dualCoefficients;      /**< Dual coefficients */
+  const float32_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+} arm_svm_linear_instance_f32;
+
+
+/**
+ * @brief Instance structure for polynomial SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float32_t       intercept;              /**< Intercept */
+  const float32_t *dualCoefficients;      /**< Dual coefficients */
+  const float32_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+  int32_t         degree;                 /**< Polynomial degree */
+  float32_t       coef0;                  /**< Polynomial constant */
+  float32_t       gamma;                  /**< Gamma factor */
+} arm_svm_polynomial_instance_f32;
+
+/**
+ * @brief Instance structure for rbf SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float32_t       intercept;              /**< Intercept */
+  const float32_t *dualCoefficients;      /**< Dual coefficients */
+  const float32_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+  float32_t       gamma;                  /**< Gamma factor */
+} arm_svm_rbf_instance_f32;
+
+/**
+ * @brief Instance structure for sigmoid SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float32_t       intercept;              /**< Intercept */
+  const float32_t *dualCoefficients;      /**< Dual coefficients */
+  const float32_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+  float32_t       coef0;                  /**< Independent constant */
+  float32_t       gamma;                  /**< Gamma factor */
+} arm_svm_sigmoid_instance_f32;
+
+/**
+ * @brief        SVM linear instance init function
+ * @param[in]    S                      Parameters for SVM functions
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @return none.
+ *
+ */
+
+
+void arm_svm_linear_init_f32(arm_svm_linear_instance_f32 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float32_t intercept,
+  const float32_t *dualCoefficients,
+  const float32_t *supportVectors,
+  const int32_t  *classes);
+
+/**
+ * @brief SVM linear prediction
+ * @param[in]    S          Pointer to an instance of the linear SVM structure.
+ * @param[in]    in         Pointer to input vector
+ * @param[out]   pResult    Decision value
+ * @return none.
+ *
+ */
+  
+void arm_svm_linear_predict_f32(const arm_svm_linear_instance_f32 *S, 
+   const float32_t * in, 
+   int32_t * pResult);
+
+
+/**
+ * @brief        SVM polynomial instance init function
+ * @param[in]    S                      points to an instance of the polynomial SVM structure.
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @param[in]    degree                 Polynomial degree
+ * @param[in]    coef0                  coeff0 (scikit-learn terminology)
+ * @param[in]    gamma                  gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+
+void arm_svm_polynomial_init_f32(arm_svm_polynomial_instance_f32 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float32_t intercept,
+  const float32_t *dualCoefficients,
+  const float32_t *supportVectors,
+  const int32_t   *classes,
+  int32_t      degree,
+  float32_t coef0,
+  float32_t gamma
+  );
+
+/**
+ * @brief SVM polynomial prediction
+ * @param[in]    S          Pointer to an instance of the polynomial SVM structure.
+ * @param[in]    in         Pointer to input vector
+ * @param[out]   pResult    Decision value
+ * @return none.
+ *
+ */
+void arm_svm_polynomial_predict_f32(const arm_svm_polynomial_instance_f32 *S, 
+   const float32_t * in, 
+   int32_t * pResult);
+
+
+/**
+ * @brief        SVM radial basis function instance init function
+ * @param[in]    S                      points to an instance of the polynomial SVM structure.
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @param[in]    gamma                  gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_rbf_init_f32(arm_svm_rbf_instance_f32 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float32_t intercept,
+  const float32_t *dualCoefficients,
+  const float32_t *supportVectors,
+  const int32_t   *classes,
+  float32_t gamma
+  );
+
+/**
+ * @brief SVM rbf prediction
+ * @param[in]    S         Pointer to an instance of the rbf SVM structure.
+ * @param[in]    in        Pointer to input vector
+ * @param[out]   pResult   decision value
+ * @return none.
+ *
+ */
+void arm_svm_rbf_predict_f32(const arm_svm_rbf_instance_f32 *S, 
+   const float32_t * in, 
+   int32_t * pResult);
+
+/**
+ * @brief        SVM sigmoid instance init function
+ * @param[in]    S                      points to an instance of the rbf SVM structure.
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @param[in]    coef0                  coeff0 (scikit-learn terminology)
+ * @param[in]    gamma                  gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_sigmoid_init_f32(arm_svm_sigmoid_instance_f32 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float32_t intercept,
+  const float32_t *dualCoefficients,
+  const float32_t *supportVectors,
+  const int32_t   *classes,
+  float32_t coef0,
+  float32_t gamma
+  );
+
+/**
+ * @brief SVM sigmoid prediction
+ * @param[in]    S        Pointer to an instance of the rbf SVM structure.
+ * @param[in]    in       Pointer to input vector
+ * @param[out]   pResult  Decision value
+ * @return none.
+ *
+ */
+void arm_svm_sigmoid_predict_f32(const arm_svm_sigmoid_instance_f32 *S, 
+   const float32_t * in, 
+   int32_t * pResult);
+
+
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _SVM_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/svm_functions_f16.h

@@ -0,0 +1,281 @@
+/******************************************************************************
+ * @file     svm_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _SVM_FUNCTIONS_F16_H_
+#define _SVM_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+#include "dsp/svm_defines.h"
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+#define STEP(x) (x) <= 0 ? 0 : 1
+
+/**
+ * @defgroup groupSVM SVM Functions
+ * This set of functions is implementing SVM classification on 2 classes.
+ * The training must be done from scikit-learn. The parameters can be easily
+ * generated from the scikit-learn object. Some examples are given in
+ * DSP/Testing/PatternGeneration/SVM.py
+ *
+ * If more than 2 classes are needed, the functions in this folder 
+ * will have to be used, as building blocks, to do multi-class classification.
+ *
+ * No multi-class classification is provided in this SVM folder.
+ * 
+ */
+
+
+
+/**
+ * @brief Instance structure for linear SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float16_t       intercept;              /**< Intercept */
+  const float16_t *dualCoefficients;      /**< Dual coefficients */
+  const float16_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+} arm_svm_linear_instance_f16;
+
+
+/**
+ * @brief Instance structure for polynomial SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float16_t       intercept;              /**< Intercept */
+  const float16_t *dualCoefficients;      /**< Dual coefficients */
+  const float16_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+  int32_t         degree;                 /**< Polynomial degree */
+  float16_t       coef0;                  /**< Polynomial constant */
+  float16_t       gamma;                  /**< Gamma factor */
+} arm_svm_polynomial_instance_f16;
+
+/**
+ * @brief Instance structure for rbf SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float16_t       intercept;              /**< Intercept */
+  const float16_t *dualCoefficients;      /**< Dual coefficients */
+  const float16_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+  float16_t       gamma;                  /**< Gamma factor */
+} arm_svm_rbf_instance_f16;
+
+/**
+ * @brief Instance structure for sigmoid SVM prediction function.
+ */
+typedef struct
+{
+  uint32_t        nbOfSupportVectors;     /**< Number of support vectors */
+  uint32_t        vectorDimension;        /**< Dimension of vector space */
+  float16_t       intercept;              /**< Intercept */
+  const float16_t *dualCoefficients;      /**< Dual coefficients */
+  const float16_t *supportVectors;        /**< Support vectors */
+  const int32_t   *classes;               /**< The two SVM classes */
+  float16_t       coef0;                  /**< Independent constant */
+  float16_t       gamma;                  /**< Gamma factor */
+} arm_svm_sigmoid_instance_f16;
+
+/**
+ * @brief        SVM linear instance init function
+ * @param[in]    S                      Parameters for SVM functions
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @return none.
+ *
+ */
+
+
+void arm_svm_linear_init_f16(arm_svm_linear_instance_f16 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float16_t intercept,
+  const float16_t *dualCoefficients,
+  const float16_t *supportVectors,
+  const int32_t  *classes);
+
+/**
+ * @brief SVM linear prediction
+ * @param[in]    S          Pointer to an instance of the linear SVM structure.
+ * @param[in]    in         Pointer to input vector
+ * @param[out]   pResult    Decision value
+ * @return none.
+ *
+ */
+  
+void arm_svm_linear_predict_f16(const arm_svm_linear_instance_f16 *S, 
+   const float16_t * in, 
+   int32_t * pResult);
+
+
+/**
+ * @brief        SVM polynomial instance init function
+ * @param[in]    S                      points to an instance of the polynomial SVM structure.
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @param[in]    degree                 Polynomial degree
+ * @param[in]    coef0                  coeff0 (scikit-learn terminology)
+ * @param[in]    gamma                  gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+
+void arm_svm_polynomial_init_f16(arm_svm_polynomial_instance_f16 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float16_t intercept,
+  const float16_t *dualCoefficients,
+  const float16_t *supportVectors,
+  const int32_t   *classes,
+  int32_t      degree,
+  float16_t coef0,
+  float16_t gamma
+  );
+
+/**
+ * @brief SVM polynomial prediction
+ * @param[in]    S          Pointer to an instance of the polynomial SVM structure.
+ * @param[in]    in         Pointer to input vector
+ * @param[out]   pResult    Decision value
+ * @return none.
+ *
+ */
+void arm_svm_polynomial_predict_f16(const arm_svm_polynomial_instance_f16 *S, 
+   const float16_t * in, 
+   int32_t * pResult);
+
+
+/**
+ * @brief        SVM radial basis function instance init function
+ * @param[in]    S                      points to an instance of the polynomial SVM structure.
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @param[in]    gamma                  gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_rbf_init_f16(arm_svm_rbf_instance_f16 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float16_t intercept,
+  const float16_t *dualCoefficients,
+  const float16_t *supportVectors,
+  const int32_t   *classes,
+  float16_t gamma
+  );
+
+/**
+ * @brief SVM rbf prediction
+ * @param[in]    S         Pointer to an instance of the rbf SVM structure.
+ * @param[in]    in        Pointer to input vector
+ * @param[out]   pResult   decision value
+ * @return none.
+ *
+ */
+void arm_svm_rbf_predict_f16(const arm_svm_rbf_instance_f16 *S, 
+   const float16_t * in, 
+   int32_t * pResult);
+
+/**
+ * @brief        SVM sigmoid instance init function
+ * @param[in]    S                      points to an instance of the rbf SVM structure.
+ * @param[in]    nbOfSupportVectors     Number of support vectors
+ * @param[in]    vectorDimension        Dimension of vector space
+ * @param[in]    intercept              Intercept
+ * @param[in]    dualCoefficients       Array of dual coefficients
+ * @param[in]    supportVectors         Array of support vectors
+ * @param[in]    classes                Array of 2 classes ID
+ * @param[in]    coef0                  coeff0 (scikit-learn terminology)
+ * @param[in]    gamma                  gamma (scikit-learn terminology)
+ * @return none.
+ *
+ */
+
+void arm_svm_sigmoid_init_f16(arm_svm_sigmoid_instance_f16 *S, 
+  uint32_t nbOfSupportVectors,
+  uint32_t vectorDimension,
+  float16_t intercept,
+  const float16_t *dualCoefficients,
+  const float16_t *supportVectors,
+  const int32_t   *classes,
+  float16_t coef0,
+  float16_t gamma
+  );
+
+/**
+ * @brief SVM sigmoid prediction
+ * @param[in]    S        Pointer to an instance of the rbf SVM structure.
+ * @param[in]    in       Pointer to input vector
+ * @param[out]   pResult  Decision value
+ * @return none.
+ *
+ */
+void arm_svm_sigmoid_predict_f16(const arm_svm_sigmoid_instance_f16 *S, 
+   const float16_t * in, 
+   int32_t * pResult);
+
+
+
+#endif /*defined(ARM_FLOAT16_SUPPORTED)*/
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _SVM_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/transform_functions.h

@@ -0,0 +1,735 @@
+/******************************************************************************
+ * @file     transform_functions.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _TRANSFORM_FUNCTIONS_H_
+#define _TRANSFORM_FUNCTIONS_H_
+
+#include "arm_math_types.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#include "dsp/basic_math_functions.h"
+#include "dsp/complex_math_functions.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+/**
+ * @defgroup groupTransforms Transform Functions
+ */
+
+
+  /**
+   * @brief Instance structure for the Q15 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q15_t *pTwiddle;                 /**< points to the Sin twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix2_instance_q15;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_q15(
+        arm_cfft_radix2_instance_q15 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_q15(
+  const arm_cfft_radix2_instance_q15 * S,
+        q15_t * pSrc);
+
+
+  /**
+   * @brief Instance structure for the Q15 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q15_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix4_instance_q15;
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_q15(
+        arm_cfft_radix4_instance_q15 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix4_q15(
+  const arm_cfft_radix4_instance_q15 * S,
+        q15_t * pSrc);
+
+  /**
+   * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q31_t *pTwiddle;                 /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix2_instance_q31;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_q31(
+        arm_cfft_radix2_instance_q31 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_q31(
+  const arm_cfft_radix2_instance_q31 * S,
+        q31_t * pSrc);
+
+  /**
+   * @brief Instance structure for the Q31 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q31_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix4_instance_q31;
+
+/* Deprecated */
+  void arm_cfft_radix4_q31(
+  const arm_cfft_radix4_instance_q31 * S,
+        q31_t * pSrc);
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_q31(
+        arm_cfft_radix4_instance_q31 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+          uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+          float32_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix2_instance_f32;
+
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_f32(
+        arm_cfft_radix2_instance_f32 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_f32(
+  const arm_cfft_radix2_instance_f32 * S,
+        float32_t * pSrc);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+          uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+          float32_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix4_instance_f32;
+
+
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_f32(
+        arm_cfft_radix4_instance_f32 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix4_f32(
+  const arm_cfft_radix4_instance_f32 * S,
+        float32_t * pSrc);
+
+  /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const q15_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+   const uint32_t *rearranged_twiddle_tab_stride1_arr;        /**< Per stage reordered twiddle pointer (offset 1) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride2_arr;        /**< Per stage reordered twiddle pointer (offset 2) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride3_arr;        /**< Per stage reordered twiddle pointer (offset 3) */                                                       \
+   const q15_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */                                                                   \
+   const q15_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */                                                                   \
+   const q15_t *rearranged_twiddle_stride3;
+#endif
+  } arm_cfft_instance_q15;
+
+arm_status arm_cfft_init_q15(
+  arm_cfft_instance_q15 * S,
+  uint16_t fftLen);
+
+void arm_cfft_q15(
+    const arm_cfft_instance_q15 * S,
+          q15_t * p1,
+          uint8_t ifftFlag,
+          uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const q31_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+   const uint32_t *rearranged_twiddle_tab_stride1_arr;        /**< Per stage reordered twiddle pointer (offset 1) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride2_arr;        /**< Per stage reordered twiddle pointer (offset 2) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride3_arr;        /**< Per stage reordered twiddle pointer (offset 3) */                                                       \
+   const q31_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */                                                                   \
+   const q31_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */                                                                   \
+   const q31_t *rearranged_twiddle_stride3;
+#endif
+  } arm_cfft_instance_q31;
+
+arm_status arm_cfft_init_q31(
+  arm_cfft_instance_q31 * S,
+  uint16_t fftLen);
+
+void arm_cfft_q31(
+    const arm_cfft_instance_q31 * S,
+          q31_t * p1,
+          uint8_t ifftFlag,
+          uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const float32_t *pTwiddle;         /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+   const uint32_t *rearranged_twiddle_tab_stride1_arr;        /**< Per stage reordered twiddle pointer (offset 1) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride2_arr;        /**< Per stage reordered twiddle pointer (offset 2) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride3_arr;        /**< Per stage reordered twiddle pointer (offset 3) */                                                       \
+   const float32_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */                                                                   \
+   const float32_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */                                                                   \
+   const float32_t *rearranged_twiddle_stride3;
+#endif
+  } arm_cfft_instance_f32;
+
+
+
+  arm_status arm_cfft_init_f32(
+  arm_cfft_instance_f32 * S,
+  uint16_t fftLen);
+
+  void arm_cfft_f32(
+  const arm_cfft_instance_f32 * S,
+        float32_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+
+  /**
+   * @brief Instance structure for the Double Precision Floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const float64_t *pTwiddle;         /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_f64;
+
+  arm_status arm_cfft_init_f64(
+  arm_cfft_instance_f64 * S,
+  uint16_t fftLen);
+  
+  void arm_cfft_f64(
+  const arm_cfft_instance_f64 * S,
+        float64_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the Q15 RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+          uint32_t fftLenReal;                      /**< length of the real FFT. */
+          uint8_t ifftFlagR;                        /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+          uint8_t bitReverseFlagR;                  /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+          uint32_t twidCoefRModifier;               /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    const q15_t *pTwiddleAReal;                     /**< points to the real twiddle factor table. */
+    const q15_t *pTwiddleBReal;                     /**< points to the imag twiddle factor table. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+    arm_cfft_instance_q15 cfftInst;
+#else
+    const arm_cfft_instance_q15 *pCfft;       /**< points to the complex FFT instance. */
+#endif
+  } arm_rfft_instance_q15;
+
+  arm_status arm_rfft_init_q15(
+        arm_rfft_instance_q15 * S,
+        uint32_t fftLenReal,
+        uint32_t ifftFlagR,
+        uint32_t bitReverseFlag);
+
+  void arm_rfft_q15(
+  const arm_rfft_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst);
+
+  /**
+   * @brief Instance structure for the Q31 RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+          uint32_t fftLenReal;                        /**< length of the real FFT. */
+          uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+          uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+          uint32_t twidCoefRModifier;                 /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    const q31_t *pTwiddleAReal;                       /**< points to the real twiddle factor table. */
+    const q31_t *pTwiddleBReal;                       /**< points to the imag twiddle factor table. */
+#if defined(ARM_MATH_MVEI) && !defined(ARM_MATH_AUTOVECTORIZE)
+    arm_cfft_instance_q31 cfftInst;
+#else
+    const arm_cfft_instance_q31 *pCfft;         /**< points to the complex FFT instance. */
+#endif
+  } arm_rfft_instance_q31;
+
+  arm_status arm_rfft_init_q31(
+        arm_rfft_instance_q31 * S,
+        uint32_t fftLenReal,
+        uint32_t ifftFlagR,
+        uint32_t bitReverseFlag);
+
+  void arm_rfft_q31(
+  const arm_rfft_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst);
+
+  /**
+   * @brief Instance structure for the floating-point RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+          uint32_t fftLenReal;                        /**< length of the real FFT. */
+          uint16_t fftLenBy2;                         /**< length of the complex FFT. */
+          uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+          uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+          uint32_t twidCoefRModifier;                     /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    const float32_t *pTwiddleAReal;                   /**< points to the real twiddle factor table. */
+    const float32_t *pTwiddleBReal;                   /**< points to the imag twiddle factor table. */
+          arm_cfft_radix4_instance_f32 *pCfft;        /**< points to the complex FFT instance. */
+  } arm_rfft_instance_f32;
+
+  arm_status arm_rfft_init_f32(
+        arm_rfft_instance_f32 * S,
+        arm_cfft_radix4_instance_f32 * S_CFFT,
+        uint32_t fftLenReal,
+        uint32_t ifftFlagR,
+        uint32_t bitReverseFlag);
+
+  void arm_rfft_f32(
+  const arm_rfft_instance_f32 * S,
+        float32_t * pSrc,
+        float32_t * pDst);
+
+  /**
+   * @brief Instance structure for the Double Precision Floating-point RFFT/RIFFT function.
+   */
+typedef struct
+  {
+          arm_cfft_instance_f64 Sint;      /**< Internal CFFT structure. */
+          uint16_t fftLenRFFT;             /**< length of the real sequence */
+    const float64_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */
+  } arm_rfft_fast_instance_f64 ;
+
+arm_status arm_rfft_fast_init_f64 (
+         arm_rfft_fast_instance_f64 * S,
+         uint16_t fftLen);
+
+
+void arm_rfft_fast_f64(
+    arm_rfft_fast_instance_f64 * S,
+    float64_t * p, float64_t * pOut,
+    uint8_t ifftFlag);
+
+
+  /**
+   * @brief Instance structure for the floating-point RFFT/RIFFT function.
+   */
+typedef struct
+  {
+          arm_cfft_instance_f32 Sint;      /**< Internal CFFT structure. */
+          uint16_t fftLenRFFT;             /**< length of the real sequence */
+    const float32_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */
+  } arm_rfft_fast_instance_f32 ;
+
+arm_status arm_rfft_fast_init_f32 (
+         arm_rfft_fast_instance_f32 * S,
+         uint16_t fftLen);
+
+
+  void arm_rfft_fast_f32(
+        const arm_rfft_fast_instance_f32 * S,
+        float32_t * p, float32_t * pOut,
+        uint8_t ifftFlag);
+
+  /**
+   * @brief Instance structure for the floating-point DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+          uint16_t N;                          /**< length of the DCT4. */
+          uint16_t Nby2;                       /**< half of the length of the DCT4. */
+          float32_t normalize;                 /**< normalizing factor. */
+    const float32_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    const float32_t *pCosFactor;               /**< points to the cosFactor table. */
+          arm_rfft_instance_f32 *pRfft;        /**< points to the real FFT instance. */
+          arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_f32;
+
+
+  /**
+   * @brief  Initialization function for the floating-point DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of floating-point DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of floating-point RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of floating-point CFFT/CIFFT structure.
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_f32(
+        arm_dct4_instance_f32 * S,
+        arm_rfft_instance_f32 * S_RFFT,
+        arm_cfft_radix4_instance_f32 * S_CFFT,
+        uint16_t N,
+        uint16_t Nby2,
+        float32_t normalize);
+
+
+  /**
+   * @brief Processing function for the floating-point DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the floating-point DCT4/IDCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_f32(
+  const arm_dct4_instance_f32 * S,
+        float32_t * pState,
+        float32_t * pInlineBuffer);
+
+
+  /**
+   * @brief Instance structure for the Q31 DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+          uint16_t N;                          /**< length of the DCT4. */
+          uint16_t Nby2;                       /**< half of the length of the DCT4. */
+          q31_t normalize;                     /**< normalizing factor. */
+    const q31_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    const q31_t *pCosFactor;                   /**< points to the cosFactor table. */
+          arm_rfft_instance_q31 *pRfft;        /**< points to the real FFT instance. */
+          arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_q31;
+
+
+  /**
+   * @brief  Initialization function for the Q31 DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of Q31 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q31 RFFT/RIFFT structure
+   * @param[in]     S_CFFT     points to an instance of Q31 CFFT/CIFFT structure
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_q31(
+        arm_dct4_instance_q31 * S,
+        arm_rfft_instance_q31 * S_RFFT,
+        arm_cfft_radix4_instance_q31 * S_CFFT,
+        uint16_t N,
+        uint16_t Nby2,
+        q31_t normalize);
+
+
+  /**
+   * @brief Processing function for the Q31 DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the Q31 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_q31(
+  const arm_dct4_instance_q31 * S,
+        q31_t * pState,
+        q31_t * pInlineBuffer);
+
+
+  /**
+   * @brief Instance structure for the Q15 DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+          uint16_t N;                          /**< length of the DCT4. */
+          uint16_t Nby2;                       /**< half of the length of the DCT4. */
+          q15_t normalize;                     /**< normalizing factor. */
+    const q15_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    const q15_t *pCosFactor;                   /**< points to the cosFactor table. */
+          arm_rfft_instance_q15 *pRfft;        /**< points to the real FFT instance. */
+          arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_q15;
+
+
+  /**
+   * @brief  Initialization function for the Q15 DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of Q15 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q15 RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of Q15 CFFT/CIFFT structure.
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_q15(
+        arm_dct4_instance_q15 * S,
+        arm_rfft_instance_q15 * S_RFFT,
+        arm_cfft_radix4_instance_q15 * S_CFFT,
+        uint16_t N,
+        uint16_t Nby2,
+        q15_t normalize);
+
+
+  /**
+   * @brief Processing function for the Q15 DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the Q15 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_q15(
+  const arm_dct4_instance_q15 * S,
+        q15_t * pState,
+        q15_t * pInlineBuffer);
+
+  /**
+   * @brief Instance structure for the Floating-point MFCC function.
+   */
+typedef struct
+  {
+     const float32_t *dctCoefs; /**< Internal DCT coefficients */
+     const float32_t *filterCoefs; /**< Internal Mel filter coefficients */ 
+     const float32_t *windowCoefs; /**< Windowing coefficients */ 
+     const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */ 
+     const uint32_t *filterLengths; /**< Internal Mel filter  lengths */ 
+     uint32_t fftLen; /**< FFT length */
+     uint32_t nbMelFilters; /**< Number of Mel filters */
+     uint32_t nbDctOutputs; /**< Number of DCT outputs */
+#if defined(ARM_MFCC_CFFT_BASED)
+     /* Implementation of the MFCC is using a CFFT */
+     arm_cfft_instance_f32 cfft; /**< Internal CFFT instance */
+#else
+     /* Implementation of the MFCC is using a RFFT (default) */
+     arm_rfft_fast_instance_f32 rfft;
+#endif
+  } arm_mfcc_instance_f32 ;
+
+arm_status arm_mfcc_init_f32(
+  arm_mfcc_instance_f32 * S,
+  uint32_t fftLen,
+  uint32_t nbMelFilters,
+  uint32_t nbDctOutputs,
+  const float32_t *dctCoefs,
+  const uint32_t *filterPos,
+  const uint32_t *filterLengths,
+  const float32_t *filterCoefs,
+  const float32_t *windowCoefs
+  );
+
+
+/**
+  @brief         MFCC F32
+  @param[in]    S       points to the mfcc instance structure
+  @param[in]     pSrc points to the input samples
+  @param[out]     pDst  points to the output MFCC values
+  @param[inout]     pTmp  points to a temporary buffer of complex
+  @return        none
+ */
+  void arm_mfcc_f32(
+  const arm_mfcc_instance_f32 * S,
+  float32_t *pSrc,
+  float32_t *pDst,
+  float32_t *pTmp
+  );
+
+typedef struct
+  {
+     const q31_t *dctCoefs; /**< Internal DCT coefficients */
+     const q31_t *filterCoefs; /**< Internal Mel filter coefficients */ 
+     const q31_t *windowCoefs; /**< Windowing coefficients */ 
+     const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */ 
+     const uint32_t *filterLengths; /**< Internal Mel filter  lengths */ 
+     uint32_t fftLen; /**< FFT length */
+     uint32_t nbMelFilters; /**< Number of Mel filters */
+     uint32_t nbDctOutputs; /**< Number of DCT outputs */
+#if defined(ARM_MFCC_CFFT_BASED)
+     /* Implementation of the MFCC is using a CFFT */
+     arm_cfft_instance_q31 cfft; /**< Internal CFFT instance */
+#else
+     /* Implementation of the MFCC is using a RFFT (default) */
+     arm_rfft_instance_q31 rfft;
+#endif
+  } arm_mfcc_instance_q31 ;
+
+arm_status arm_mfcc_init_q31(
+  arm_mfcc_instance_q31 * S,
+  uint32_t fftLen,
+  uint32_t nbMelFilters,
+  uint32_t nbDctOutputs,
+  const q31_t *dctCoefs,
+  const uint32_t *filterPos,
+  const uint32_t *filterLengths,
+  const q31_t *filterCoefs,
+  const q31_t *windowCoefs
+  );
+
+
+/**
+  @brief         MFCC Q31
+  @param[in]    S       points to the mfcc instance structure
+  @param[in]     pSrc points to the input samples
+  @param[out]     pDst  points to the output MFCC values
+  @param[inout]     pTmp  points to a temporary buffer of complex
+  @return        none
+ */
+  arm_status arm_mfcc_q31(
+  const arm_mfcc_instance_q31 * S,
+  q31_t *pSrc,
+  q31_t *pDst,
+  q31_t *pTmp
+  );
+
+typedef struct
+  {
+     const q15_t *dctCoefs; /**< Internal DCT coefficients */
+     const q15_t *filterCoefs; /**< Internal Mel filter coefficients */ 
+     const q15_t *windowCoefs; /**< Windowing coefficients */ 
+     const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */ 
+     const uint32_t *filterLengths; /**< Internal Mel filter  lengths */ 
+     uint32_t fftLen; /**< FFT length */
+     uint32_t nbMelFilters; /**< Number of Mel filters */
+     uint32_t nbDctOutputs; /**< Number of DCT outputs */
+#if defined(ARM_MFCC_CFFT_BASED)
+     /* Implementation of the MFCC is using a CFFT */
+     arm_cfft_instance_q15 cfft; /**< Internal CFFT instance */
+#else
+     /* Implementation of the MFCC is using a RFFT (default) */
+     arm_rfft_instance_q15 rfft;
+#endif
+  } arm_mfcc_instance_q15 ;
+
+arm_status arm_mfcc_init_q15(
+  arm_mfcc_instance_q15 * S,
+  uint32_t fftLen,
+  uint32_t nbMelFilters,
+  uint32_t nbDctOutputs,
+  const q15_t *dctCoefs,
+  const uint32_t *filterPos,
+  const uint32_t *filterLengths,
+  const q15_t *filterCoefs,
+  const q15_t *windowCoefs
+  );
+
+
+/**
+  @brief         MFCC Q15
+  @param[in]    S       points to the mfcc instance structure
+  @param[in]     pSrc points to the input samples
+  @param[out]     pDst  points to the output MFCC values in q8.7 format
+  @param[inout]     pTmp  points to a temporary buffer of complex
+  @return        error status
+ */
+  arm_status arm_mfcc_q15(
+  const arm_mfcc_instance_q15 * S,
+  q15_t *pSrc,
+  q15_t *pDst,
+  q31_t *pTmp
+  );
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _TRANSFORM_FUNCTIONS_H_ */

Drivers/CMSIS/DSP/Include/dsp/transform_functions_f16.h

@@ -0,0 +1,208 @@
+/******************************************************************************
+ * @file     transform_functions_f16.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.10.0
+ * @date     08 July 2021
+ * Target Processor: Cortex-M and Cortex-A cores
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+ 
+#ifndef _TRANSFORM_FUNCTIONS_F16_H_
+#define _TRANSFORM_FUNCTIONS_F16_H_
+
+#include "arm_math_types_f16.h"
+#include "arm_math_memory.h"
+
+#include "dsp/none.h"
+#include "dsp/utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+
+#if defined(ARM_FLOAT16_SUPPORTED)
+
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+          uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const float16_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+          float16_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix2_instance_f16;
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+          uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const float16_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+          float16_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix4_instance_f16;
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const float16_t *pTwiddle;         /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+   const uint32_t *rearranged_twiddle_tab_stride1_arr;        /**< Per stage reordered twiddle pointer (offset 1) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride2_arr;        /**< Per stage reordered twiddle pointer (offset 2) */                                                       \
+   const uint32_t *rearranged_twiddle_tab_stride3_arr;        /**< Per stage reordered twiddle pointer (offset 3) */                                                       \
+   const float16_t *rearranged_twiddle_stride1; /**< reordered twiddle offset 1 storage */                                                                   \
+   const float16_t *rearranged_twiddle_stride2; /**< reordered twiddle offset 2 storage */                                                                   \
+   const float16_t *rearranged_twiddle_stride3;
+#endif
+  } arm_cfft_instance_f16;
+
+
+  arm_status arm_cfft_init_f16(
+  arm_cfft_instance_f16 * S,
+  uint16_t fftLen);
+
+  void arm_cfft_f16(
+  const arm_cfft_instance_f16 * S,
+        float16_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the floating-point RFFT/RIFFT function.
+   */
+typedef struct
+  {
+          arm_cfft_instance_f16 Sint;      /**< Internal CFFT structure. */
+          uint16_t fftLenRFFT;             /**< length of the real sequence */
+    const float16_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */
+  } arm_rfft_fast_instance_f16 ;
+
+arm_status arm_rfft_fast_init_f16 (
+         arm_rfft_fast_instance_f16 * S,
+         uint16_t fftLen);
+
+
+  void arm_rfft_fast_f16(
+        const arm_rfft_fast_instance_f16 * S,
+        float16_t * p, float16_t * pOut,
+        uint8_t ifftFlag);
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_f16(
+        arm_cfft_radix4_instance_f16 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix4_f16(
+  const arm_cfft_radix4_instance_f16 * S,
+        float16_t * pSrc);
+
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_f16(
+        arm_cfft_radix2_instance_f16 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_f16(
+  const arm_cfft_radix2_instance_f16 * S,
+        float16_t * pSrc);
+
+  /**
+   * @brief Instance structure for the Floating-point MFCC function.
+   */
+typedef struct
+  {
+     const float16_t *dctCoefs; /**< Internal DCT coefficients */
+     const float16_t *filterCoefs; /**< Internal Mel filter coefficients */ 
+     const float16_t *windowCoefs; /**< Windowing coefficients */ 
+     const uint32_t *filterPos; /**< Internal Mel filter positions in spectrum */ 
+     const uint32_t *filterLengths; /**< Internal Mel filter  lengths */ 
+     uint32_t fftLen; /**< FFT length */
+     uint32_t nbMelFilters; /**< Number of Mel filters */
+     uint32_t nbDctOutputs; /**< Number of DCT outputs */
+#if defined(ARM_MFCC_CFFT_BASED)
+     /* Implementation of the MFCC is using a CFFT */
+     arm_cfft_instance_f16 cfft; /**< Internal CFFT instance */
+#else
+     /* Implementation of the MFCC is using a RFFT (default) */
+     arm_rfft_fast_instance_f16 rfft;
+#endif
+  } arm_mfcc_instance_f16 ;
+
+arm_status arm_mfcc_init_f16(
+  arm_mfcc_instance_f16 * S,
+  uint32_t fftLen,
+  uint32_t nbMelFilters,
+  uint32_t nbDctOutputs,
+  const float16_t *dctCoefs,
+  const uint32_t *filterPos,
+  const uint32_t *filterLengths,
+  const float16_t *filterCoefs,
+  const float16_t *windowCoefs
+  );
+
+
+/**
+  @brief         MFCC F16
+  @param[in]    S       points to the mfcc instance structure
+  @param[in]     pSrc points to the input samples
+  @param[out]     pDst  points to the output MFCC values
+  @param[inout]     pTmp  points to a temporary buffer of complex
+  @return        none
+ */
+  void arm_mfcc_f16(
+  const arm_mfcc_instance_f16 * S,
+  float16_t *pSrc,
+  float16_t *pDst,
+  float16_t *pTmp
+  );
+
+  
+#endif /* defined(ARM_FLOAT16_SUPPORTED)*/
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* ifndef _TRANSFORM_FUNCTIONS_F16_H_ */

Drivers/CMSIS/DSP/Include/dsp/utils.h

@@ -0,0 +1,240 @@
+/******************************************************************************
+ * @file     arm_math_utils.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.9.0
+ * @date     20. July 2020
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_MATH_UTILS_H_
+
+#define _ARM_MATH_UTILS_H_
+
+#include "arm_math_types.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+  /**
+   * @brief Macros required for reciprocal calculation in Normalized LMS
+   */
+
+#define INDEX_MASK         0x0000003F
+
+
+#define SQ(x) ((x) * (x))
+
+#define ROUND_UP(N, S) ((((N) + (S) - 1) / (S)) * (S))
+
+
+  /**
+   * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type.
+   */
+  __STATIC_FORCEINLINE uint32_t arm_recip_q31(
+        q31_t in,
+        q31_t * dst,
+  const q31_t * pRecipTable)
+  {
+    q31_t out;
+    uint32_t tempVal;
+    uint32_t index, i;
+    uint32_t signBits;
+
+    if (in > 0)
+    {
+      signBits = ((uint32_t) (__CLZ( in) - 1));
+    }
+    else
+    {
+      signBits = ((uint32_t) (__CLZ(-in) - 1));
+    }
+
+    /* Convert input sample to 1.31 format */
+    in = (in << signBits);
+
+    /* calculation of index for initial approximated Val */
+    index = (uint32_t)(in >> 24);
+    index = (index & INDEX_MASK);
+
+    /* 1.31 with exp 1 */
+    out = pRecipTable[index];
+
+    /* calculation of reciprocal value */
+    /* running approximation for two iterations */
+    for (i = 0U; i < 2U; i++)
+    {
+      tempVal = (uint32_t) (((q63_t) in * out) >> 31);
+      tempVal = 0x7FFFFFFFu - tempVal;
+      /*      1.31 with exp 1 */
+      /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */
+      out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30);
+    }
+
+    /* write output */
+    *dst = out;
+
+    /* return num of signbits of out = 1/in value */
+    return (signBits + 1U);
+  }
+
+
+  /**
+   * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.
+   */
+  __STATIC_FORCEINLINE uint32_t arm_recip_q15(
+        q15_t in,
+        q15_t * dst,
+  const q15_t * pRecipTable)
+  {
+    q15_t out = 0;
+    uint32_t tempVal = 0;
+    uint32_t index = 0, i = 0;
+    uint32_t signBits = 0;
+
+    if (in > 0)
+    {
+      signBits = ((uint32_t)(__CLZ( in) - 17));
+    }
+    else
+    {
+      signBits = ((uint32_t)(__CLZ(-in) - 17));
+    }
+
+    /* Convert input sample to 1.15 format */
+    in = (in << signBits);
+
+    /* calculation of index for initial approximated Val */
+    index = (uint32_t)(in >>  8);
+    index = (index & INDEX_MASK);
+
+    /*      1.15 with exp 1  */
+    out = pRecipTable[index];
+
+    /* calculation of reciprocal value */
+    /* running approximation for two iterations */
+    for (i = 0U; i < 2U; i++)
+    {
+      tempVal = (uint32_t) (((q31_t) in * out) >> 15);
+      tempVal = 0x7FFFu - tempVal;
+      /*      1.15 with exp 1 */
+      out = (q15_t) (((q31_t) out * tempVal) >> 14);
+      /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */
+    }
+
+    /* write output */
+    *dst = out;
+
+    /* return num of signbits of out = 1/in value */
+    return (signBits + 1);
+  }
+
+
+/**
+ * @brief  64-bit to 32-bit unsigned normalization
+ * @param[in]  in           is input unsigned long long value
+ * @param[out] normalized   is the 32-bit normalized value
+ * @param[out] norm         is norm scale
+ */
+__STATIC_INLINE  void arm_norm_64_to_32u(uint64_t in, int32_t * normalized, int32_t *norm)
+{
+    int32_t     n1;
+    int32_t     hi = (int32_t) (in >> 32);
+    int32_t     lo = (int32_t) ((in << 32) >> 32);
+
+    n1 = __CLZ(hi) - 32;
+    if (!n1)
+    {
+        /*
+         * input fits in 32-bit
+         */
+        n1 = __CLZ(lo);
+        if (!n1)
+        {
+            /*
+             * MSB set, need to scale down by 1
+             */
+            *norm = -1;
+            *normalized = (((uint32_t) lo) >> 1);
+        } else
+        {
+            if (n1 == 32)
+            {
+                /*
+                 * input is zero
+                 */
+                *norm = 0;
+                *normalized = 0;
+            } else
+            {
+                /*
+                 * 32-bit normalization
+                 */
+                *norm = n1 - 1;
+                *normalized = lo << *norm;
+            }
+        }
+    } else
+    {
+        /*
+         * input fits in 64-bit
+         */
+        n1 = 1 - n1;
+        *norm = -n1;
+        /*
+         * 64 bit normalization
+         */
+        *normalized = (((uint32_t) lo) >> n1) | (hi << (32 - n1));
+    }
+}
+
+__STATIC_INLINE q31_t arm_div_q63_to_q31(q63_t num, q31_t den)
+{
+    q31_t   result;
+    uint64_t   absNum;
+    int32_t   normalized;
+    int32_t   norm;
+
+    /*
+     * if sum fits in 32bits
+     * avoid costly 64-bit division
+     */
+    absNum = num > 0 ? num : -num;
+    arm_norm_64_to_32u(absNum, &normalized, &norm);
+    if (norm > 0)
+        /*
+         * 32-bit division
+         */
+        result = (q31_t) num / den;
+    else
+        /*
+         * 64-bit division
+         */
+        result = (q31_t) (num / den);
+
+    return result;
+}
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /*ifndef _ARM_MATH_UTILS_H_ */

Drivers/CMSIS/DSP/PrivateInclude/arm_sorting.h

@@ -0,0 +1,200 @@
+/******************************************************************************
+ * @file     arm_sorting.h
+ * @brief    Private header file for CMSIS DSP Library
+ * @version  V1.7.0
+ * @date     2019
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_SORTING_H_
+#define _ARM_SORTING_H_
+
+#include "arm_math.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+  /**
+   * @param[in]  S          points to an instance of the sorting structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_bubble_sort_f32(
+    const arm_sort_instance_f32 * S, 
+          float32_t * pSrc, 
+          float32_t * pDst, 
+    uint32_t blockSize);
+
+   /**
+   * @param[in]  S          points to an instance of the sorting structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_heap_sort_f32(
+    const arm_sort_instance_f32 * S, 
+          float32_t * pSrc, 
+          float32_t * pDst, 
+    uint32_t blockSize);
+
+  /**
+   * @param[in]  S          points to an instance of the sorting structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_insertion_sort_f32(
+    const arm_sort_instance_f32 * S, 
+          float32_t *pSrc, 
+          float32_t* pDst, 
+    uint32_t blockSize);
+
+  /**
+   * @param[in]  S          points to an instance of the sorting structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_quick_sort_f32(
+    const arm_sort_instance_f32 * S, 
+          float32_t * pSrc, 
+          float32_t * pDst, 
+    uint32_t blockSize);
+
+  /**
+   * @param[in]  S          points to an instance of the sorting structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_selection_sort_f32(
+    const arm_sort_instance_f32 * S, 
+          float32_t * pSrc, 
+          float32_t * pDst, 
+    uint32_t blockSize);
+ 
+  /**
+   * @param[in]  S          points to an instance of the sorting structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_bitonic_sort_f32(
+    const arm_sort_instance_f32 * S,
+          float32_t * pSrc,
+          float32_t * pDst,
+          uint32_t blockSize);
+
+#if defined(ARM_MATH_NEON)
+
+#define vtrn256_128q(a, b)                   \
+do {                                         \
+	float32x4_t vtrn128_temp = a.val[1]; \
+	a.val[1] = b.val[0];                 \
+	b.val[0] = vtrn128_temp ;            \
+} while (0)
+
+#define vtrn128_64q(a, b)           \
+do {                                \
+	float32x2_t ab, cd, ef, gh; \
+	ab = vget_low_f32(a);	    \
+	ef = vget_low_f32(b);	    \
+	cd = vget_high_f32(a);	    \
+	gh = vget_high_f32(b);      \
+	a = vcombine_f32(ab, ef);   \
+	b = vcombine_f32(cd, gh);   \
+} while (0)
+
+#define vtrn256_64q(a, b)                  \
+do {                                       \
+	float32x2_t a_0, a_1, a_2, a_3;    \
+	float32x2_t b_0, b_1, b_2, b_3;    \
+	a_0 = vget_low_f32(a.val[0]);      \
+	a_1 = vget_high_f32(a.val[0]);     \
+	a_2 = vget_low_f32(a.val[1]);      \
+	a_3 = vget_high_f32(a.val[1]);     \
+	b_0 = vget_low_f32(b.val[0]);      \
+	b_1 = vget_high_f32(b.val[0]);     \
+	b_2 = vget_low_f32(b.val[1]);      \
+	b_3 = vget_high_f32(b.val[1]);     \
+	a.val[0] = vcombine_f32(a_0, b_0); \
+	a.val[1] = vcombine_f32(a_2, b_2); \
+	b.val[0] = vcombine_f32(a_1, b_1); \
+	b.val[1] = vcombine_f32(a_3, b_3); \
+} while (0) 
+
+#define vtrn128_32q(a, b)                               \
+do {                                                    \
+	float32x4x2_t vtrn32_tmp = vtrnq_f32((a), (b)); \
+	(a) = vtrn32_tmp.val[0];                        \
+	(b) = vtrn32_tmp.val[1];                        \
+} while (0)
+
+#define vtrn256_32q(a, b)               \
+do {                                    \
+	float32x4x2_t vtrn32_tmp_1 = vtrnq_f32((a.val[0]), (b.val[0])); \
+	float32x4x2_t vtrn32_tmp_2 = vtrnq_f32((a.val[1]), (b.val[1])); \
+	a.val[0] = vtrn32_tmp_1.val[0]; \
+	a.val[1] = vtrn32_tmp_2.val[0]; \
+	b.val[0] = vtrn32_tmp_1.val[1]; \
+	b.val[1] = vtrn32_tmp_2.val[1]; \
+} while (0) 
+
+#define vminmaxq(a, b)                    \
+	do {                              \
+	float32x4_t minmax_tmp = (a);     \
+	(a) = vminq_f32((a), (b));        \
+	(b) = vmaxq_f32(minmax_tmp, (b)); \
+} while (0)
+
+#define vminmax256q(a, b)                         \
+	do {                                      \
+	float32x4x2_t minmax256_tmp = (a);        \
+	a.val[0] = vminq_f32(a.val[0], b.val[0]); \
+	a.val[1] = vminq_f32(a.val[1], b.val[1]); \
+	b.val[0] = vmaxq_f32(minmax256_tmp.val[0], b.val[0]); \
+	b.val[1] = vmaxq_f32(minmax256_tmp.val[1], b.val[1]); \
+} while (0)
+
+#define vrev128q_f32(a) \
+        vcombine_f32(vrev64_f32(vget_high_f32(a)), vrev64_f32(vget_low_f32(a)))
+
+#define vrev256q_f32(a)     \
+	do {                \
+        float32x4_t rev_tmp = vcombine_f32(vrev64_f32(vget_high_f32(a.val[0])), vrev64_f32(vget_low_f32(a.val[0]))); \
+	a.val[0] = vcombine_f32(vrev64_f32(vget_high_f32(a.val[1])), vrev64_f32(vget_low_f32(a.val[1])));  \
+	a.val[1] = rev_tmp; \
+} while (0)
+
+#define vldrev128q_f32(a, p) \
+	do {                 \
+	a = vld1q_f32(p);    \
+	a = vrev128q_f32(a); \
+} while (0) 
+
+#endif /* ARM_MATH_NEON */
+
+#ifdef   __cplusplus
+}
+#endif
+
+#endif /* _ARM_SORTING_H */

Drivers/CMSIS/DSP/PrivateInclude/arm_vec_fft.h

@@ -0,0 +1,325 @@
+/******************************************************************************
+ * @file     arm_vec_fft.h
+ * @brief    Private header file for CMSIS DSP Library
+ * @version  V1.7.0
+ * @date     07. January 2020
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2020 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_VEC_FFT_H_
+#define _ARM_VEC_FFT_H_
+
+#include "arm_math.h"
+#include "arm_helium_utils.h"
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+#if (defined(ARM_MATH_MVEF) || defined(ARM_MATH_MVEI) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#define MVE_CMPLX_ADD_A_ixB(A, B)           vcaddq_rot90(A,B)
+#define MVE_CMPLX_SUB_A_ixB(A,B)            vcaddq_rot270(A,B)
+#define MVE_CMPLX_MULT_FLT_AxB(A,B)         vcmlaq_rot90(vcmulq(A, B), A, B)
+#define MVE_CMPLX_MULT_FLT_Conj_AxB(A,B)    vcmlaq_rot270(vcmulq(A, B), A, B)
+
+#define MVE_CMPLX_MULT_FX_AxB(A,B,TyA)      vqdmladhxq(vqdmlsdhq((TyA)vuninitializedq_s32(), A, B), A, B)
+#define MVE_CMPLX_MULT_FX_AxConjB(A,B,TyA)  vqdmladhq(vqdmlsdhxq((TyA)vuninitializedq_s32(), A, B), A, B)
+
+#define MVE_CMPLX_ADD_FX_A_ixB(A, B)        vhcaddq_rot90(A,B)
+#define MVE_CMPLX_SUB_FX_A_ixB(A,B)         vhcaddq_rot270(A,B)
+
+
+/**
+  @brief         In-place 32 bit reversal function for helium
+  @param[in,out] pSrc        points to in-place buffer of unknown 32-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+__STATIC_INLINE void arm_bitreversal_32_inpl_mve(
+        uint32_t *pSrc,
+  const uint16_t  bitRevLen,
+  const uint16_t *pBitRevTab)
+
+{
+    uint64_t       *src = (uint64_t *) pSrc;
+    int32_t         blkCnt;     /* loop counters */
+    uint32x4_t      bitRevTabOff;
+    uint32x4_t      one = vdupq_n_u32(1);
+    uint64x2_t      inLow, inHigh;
+    uint64x2_t      bitRevOff1Low, bitRevOff0Low;
+    uint64x2_t      bitRevOff1High, bitRevOff0High;
+
+    /* load scheduling to increase gather load idx update / gather load distance */
+    bitRevTabOff = vldrhq_u32(pBitRevTab);
+    pBitRevTab += 4;
+
+    bitRevOff0Low = vmullbq_int_u32(bitRevTabOff, one);
+    bitRevOff0High = vmulltq_int_u32(bitRevTabOff, one);
+
+
+    blkCnt = bitRevLen / 8;
+    while (blkCnt > 0) {
+        bitRevTabOff = vldrhq_u32(pBitRevTab);
+        pBitRevTab += 4;
+
+        /* 64-bit index expansion */
+        bitRevOff1Low = vmullbq_int_u32(bitRevTabOff, one);
+        bitRevOff1High = vmulltq_int_u32(bitRevTabOff, one);
+
+        inLow = vldrdq_gather_offset_u64(src, bitRevOff0Low);
+        inHigh = vldrdq_gather_offset_u64(src, bitRevOff0High);
+
+        vstrdq_scatter_offset_u64(src, bitRevOff0Low, inHigh);
+        vstrdq_scatter_offset_u64(src, bitRevOff0High, inLow);
+
+
+        /* unrolled */
+        bitRevTabOff = vldrhq_u32(pBitRevTab);
+        pBitRevTab += 4;
+
+        bitRevOff0Low = vmullbq_int_u32(bitRevTabOff, one);
+        bitRevOff0High = vmulltq_int_u32(bitRevTabOff, one);
+
+        inLow = vldrdq_gather_offset_u64(src, bitRevOff1Low);
+        inHigh = vldrdq_gather_offset_u64(src, bitRevOff1High);
+
+        vstrdq_scatter_offset_u64(src, bitRevOff1Low, inHigh);
+        vstrdq_scatter_offset_u64(src, bitRevOff1High, inLow);
+
+        /*
+         * Decrement the blockSize loop counter
+         */
+        blkCnt--;
+    }
+
+    if (bitRevLen & 7) {
+        /* FFT size = 16 */
+        inLow = vldrdq_gather_offset_u64(src, bitRevOff0Low);
+        inHigh = vldrdq_gather_offset_u64(src, bitRevOff0High);
+
+        vstrdq_scatter_offset_u64(src, bitRevOff0Low, inHigh);
+        vstrdq_scatter_offset_u64(src, bitRevOff0High, inLow);
+    }
+}
+
+
+
+/**
+  @brief         In-place 16 bit reversal function for helium
+  @param[in,out] pSrc        points to in-place buffer of unknown 16-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+__STATIC_INLINE void arm_bitreversal_16_inpl_mve(
+        uint16_t *pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t *pBitRevTab)
+
+{
+    uint32_t       *src = (uint32_t *) pSrc;
+    int32_t         blkCnt;     /* loop counters */
+    uint32x4_t      bitRevTabOff;
+    uint16x8_t      one = vdupq_n_u16(1);
+    uint32x4_t      bitRevOff1Low, bitRevOff0Low;
+    uint32x4_t      bitRevOff1High, bitRevOff0High;
+    uint32x4_t      inLow, inHigh;
+
+    /* load scheduling to increase gather load idx update / gather load distance */
+    bitRevTabOff = vldrhq_u16(pBitRevTab);
+    pBitRevTab += 8;
+
+    bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+    bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+    bitRevOff0Low = vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3);
+    bitRevOff0High = vshrq_n_u16((uint16x8_t)bitRevOff0High, 3);
+
+    blkCnt = (bitRevLen / 16);
+    while (blkCnt > 0) {
+        bitRevTabOff = vldrhq_u16(pBitRevTab);
+        pBitRevTab += 8;
+
+        bitRevOff1Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+        bitRevOff1High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+        bitRevOff1Low = vshrq_n_u16((uint16x8_t)bitRevOff1Low, 3);
+        bitRevOff1High = vshrq_n_u16((uint16x8_t)bitRevOff1High, 3);
+
+        inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low);
+        inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High);
+
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh);
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow);
+
+        /* loop unrolling */
+        bitRevTabOff = vldrhq_u16(pBitRevTab);
+        pBitRevTab += 8;
+
+        bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+        bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+        bitRevOff0Low = vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3);
+        bitRevOff0High = vshrq_n_u16((uint16x8_t)bitRevOff0High, 3);
+
+        inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff1Low);
+        inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff1High);
+
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff1Low, inHigh);
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff1High, inLow);
+
+        blkCnt--;
+    }
+
+    /* tail handling */
+    blkCnt = bitRevLen & 0xf;
+    if (blkCnt == 8) {
+        inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low);
+        inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High);
+
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh);
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow);
+    } else if (blkCnt == 12) {
+        /* FFT 16 special case */
+        mve_pred16_t    p = vctp16q(4);
+
+        bitRevTabOff = vldrhq_z_u16(pBitRevTab, p);
+
+        inLow = vldrwq_gather_shifted_offset_u32(src, bitRevOff0Low);
+        inHigh = vldrwq_gather_shifted_offset_u32(src, bitRevOff0High);
+
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff0Low, inHigh);
+        vstrwq_scatter_shifted_offset_u32(src, bitRevOff0High, inLow);
+
+        bitRevOff0Low = vmullbq_int_u16((uint16x8_t)bitRevTabOff, one);
+        bitRevOff0High = vmulltq_int_u16((uint16x8_t)bitRevTabOff, one);
+        bitRevOff0Low = vshrq_n_u16((uint16x8_t)bitRevOff0Low, 3);
+        bitRevOff0High = vshrq_n_u16((uint16x8_t)bitRevOff0High, 3);
+
+        inLow = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff0Low, p);
+        inHigh = vldrwq_gather_shifted_offset_z_u32(src, bitRevOff0High, p);
+
+        vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff0Low, inHigh, p);
+        vstrwq_scatter_shifted_offset_p_u32(src, bitRevOff0High, inLow, p);
+    }
+}
+
+/**
+  @brief         Out-of-place 32 bit reversal function for helium
+  @param[out]   pDst        points to destination buffer of unknown 32-bit data type
+  @param[in]    pSrc        points to input buffer of unknown 32-bit data type
+  @param[in]    fftLen      FFT length
+  @return       none
+*/
+__STATIC_INLINE void arm_bitreversal_32_outpl_mve(void *pDst, void *pSrc, uint32_t fftLen)
+{
+    uint32x4_t      idxOffs0, idxOffs1, bitRevOffs0, bitRevOffs1;
+    uint32_t        bitRevPos, blkCnt;
+    uint32_t       *pDst32 = (uint32_t *) pDst;
+
+    /* fwd indexes */
+    idxOffs0 = vdupq_n_u32(0);
+    idxOffs1 = vdupq_n_u32(0);
+    idxOffs0[0] = 0;    idxOffs0[2] = 4;
+    idxOffs1[0] = 8;    idxOffs1[2] = 12;
+
+    bitRevPos = (31 - __CLZ(fftLen)) + 5;
+    blkCnt = fftLen >> 2;
+
+    /* issued earlier to increase gather load idx update / gather load distance */
+    /* bit-reverse fwd indexes */
+    bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+    bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+    while (blkCnt > 0) {
+        uint64x2_t      vecIn;
+
+        vecIn = vldrdq_gather_offset_u64(pSrc, (uint64x2_t) bitRevOffs0);
+        idxOffs0 = idxOffs0 + 16;
+        vst1q(pDst32, (uint32x4_t) vecIn);
+        pDst32 += 4;
+        bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+
+        vecIn = vldrdq_gather_offset_u64(pSrc, (uint64x2_t) bitRevOffs1);
+        idxOffs1 = idxOffs1 + 16;
+        vst1q(pDst32, (uint32x4_t) vecIn);
+        pDst32 += 4;
+        bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+
+        blkCnt--;
+    }
+}
+
+
+/**
+  @brief         Out-of-place 16 bit reversal function for helium
+  @param[out]   pDst        points to destination buffer of unknown 16-bit data type
+  @param[in]    pSrc        points to input buffer of unknown 16-bit data type
+  @param[in]    fftLen      FFT length
+  @return       none
+*/
+
+__STATIC_INLINE void arm_bitreversal_16_outpl_mve(void *pDst, void *pSrc, uint32_t fftLen)
+{
+    uint32x4_t      idxOffs0, idxOffs1, bitRevOffs0, bitRevOffs1;
+    uint32_t        bitRevPos, blkCnt;
+    uint16_t       *pDst16 = (uint16_t *) pDst;
+    uint32_t        incrIdx = 0;
+
+    /* fwd indexes */
+    idxOffs0 = vidupq_wb_u32(&incrIdx, 4);    // {0, 4, 8, 12}
+    idxOffs1 = vidupq_wb_u32(&incrIdx, 4);    // {16, 20, 24, 28}
+
+    bitRevPos = (31 - __CLZ(fftLen)) + 4;
+    blkCnt = fftLen >> 3;
+
+    /* issued earlier to increase gather load idx update / gather load distance */
+    /* bit-reverse fwd indexes */
+    bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+    bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+    while (blkCnt > 0) {
+        uint32x4_t      vecIn;
+
+        vecIn = vldrwq_gather_offset_s32(pSrc, bitRevOffs0);
+        idxOffs0 = idxOffs0 + 32;
+        vst1q(pDst16, (uint16x8_t) vecIn);
+        pDst16 += 8;
+        bitRevOffs0 = vbrsrq(idxOffs0, bitRevPos);
+
+        vecIn = vldrwq_gather_offset_s32(pSrc, bitRevOffs1);
+        idxOffs1 = idxOffs1 + 32;
+        vst1q(pDst16, (uint16x8_t) vecIn);
+        pDst16 += 8;
+        bitRevOffs1 = vbrsrq(idxOffs1, bitRevPos);
+
+        blkCnt--;
+    }
+}
+
+
+#endif /* (defined(ARM_MATH_MVEF) || defined(ARM_MATH_HELIUM)) && !defined(ARM_MATH_AUTOVECTORIZE)*/
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+
+#endif /* _ARM_VEC_FFT_H_ */

Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c

@@ -0,0 +1,654 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_const_structs.c
+ * Description:  Constant structs that are initialized for user convenience.
+ *               For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions.
+ *
+ * $Date:        23 April 2021
+ * $Revision:    V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math_types.h"
+#include "arm_const_structs.h"
+
+/*
+ALLOW TABLE is true when config table is enabled and the Tramsform folder is included 
+for compilation.
+*/
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+/* Floating-point structs */
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_16) && defined(ARM_TABLE_BITREVIDX_FLT64_16))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len16 = {
+  16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len32 = {
+  32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len64 = {
+  64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len128 = {
+  128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len256 = {
+  256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len512 = {
+  512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len1024 = {
+  1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len2048 = {
+  2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096))
+const arm_cfft_instance_f64 arm_cfft_sR_f64_len4096 = {
+  4096, (const float64_t *)twiddleCoefF64_4096, armBitRevIndexTableF64_4096, ARMBITREVINDEXTABLEF64_4096_TABLE_LENGTH
+};
+#endif
+
+/* Floating-point structs */
+#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE)
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = {
+  16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH
+};
+#endif
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = {
+  32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = {
+  64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = {
+  128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = {
+  256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = {
+  512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = {
+  1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = {
+  2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = {
+  4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH
+};
+#endif
+
+#endif /* !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */
+
+/* Fixed-point structs */
+
+#if !defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE)
+
+/* 
+
+Those structures cannot be used to initialize the MVE version of the FFT Q31 instances.
+So they are not compiled when MVE is defined.
+
+For the MVE version, the new arm_cfft_init_f32 must be used.
+
+
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = {
+  16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = {
+  32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = {
+  64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = {
+  128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = {
+  256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = {
+  512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = {
+  1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = {
+  2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = {
+  4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+#endif
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = {
+  16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = {
+  32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = {
+  64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = {
+  128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = {
+  256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = {
+  512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = {
+  1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = {
+  2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = {
+  4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+#endif
+
+#endif /* !defined(ARM_MATH_MVEI) */
+
+/* Structure for real-value inputs */
+/* Double precision strucs */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_32) && defined(ARM_TABLE_BITREVIDX_FLT64_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_32))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len32 = {
+  { 16, (const float64_t *)twiddleCoefF64_16, armBitRevIndexTableF64_16, ARMBITREVINDEXTABLEF64_16_TABLE_LENGTH },
+  32U,
+  (float64_t *)twiddleCoefF64_rfft_32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_64) && defined(ARM_TABLE_BITREVIDX_FLT64_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_64))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len64 = {
+   { 32, (const float64_t *)twiddleCoefF64_32, armBitRevIndexTableF64_32, ARMBITREVINDEXTABLEF64_32_TABLE_LENGTH },
+  64U,
+  (float64_t *)twiddleCoefF64_rfft_64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_128) && defined(ARM_TABLE_BITREVIDX_FLT64_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_128))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len128 = {
+  { 64, (const float64_t *)twiddleCoefF64_64, armBitRevIndexTableF64_64, ARMBITREVINDEXTABLEF64_64_TABLE_LENGTH },
+  128U,
+  (float64_t *)twiddleCoefF64_rfft_128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_256) && defined(ARM_TABLE_BITREVIDX_FLT64_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_256))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len256 = {
+  { 128, (const float64_t *)twiddleCoefF64_128, armBitRevIndexTableF64_128, ARMBITREVINDEXTABLEF64_128_TABLE_LENGTH },
+  256U,
+  (float64_t *)twiddleCoefF64_rfft_256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_512) && defined(ARM_TABLE_BITREVIDX_FLT64_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_512))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len512 = {
+  { 256, (const float64_t *)twiddleCoefF64_256, armBitRevIndexTableF64_256, ARMBITREVINDEXTABLEF64_256_TABLE_LENGTH },
+  512U,
+  (float64_t *)twiddleCoefF64_rfft_512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_1024) && defined(ARM_TABLE_BITREVIDX_FLT64_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_1024))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len1024 = {
+  { 512, (const float64_t *)twiddleCoefF64_512, armBitRevIndexTableF64_512, ARMBITREVINDEXTABLEF64_512_TABLE_LENGTH },
+  1024U,
+  (float64_t *)twiddleCoefF64_rfft_1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_2048) && defined(ARM_TABLE_BITREVIDX_FLT64_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_2048))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len2048 = {
+  { 1024, (const float64_t *)twiddleCoefF64_1024, armBitRevIndexTableF64_1024, ARMBITREVINDEXTABLEF64_1024_TABLE_LENGTH },
+  2048U,
+  (float64_t *)twiddleCoefF64_rfft_2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F64_4096) && defined(ARM_TABLE_BITREVIDX_FLT64_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F64_4096))
+const arm_rfft_fast_instance_f64 arm_rfft_fast_sR_f64_len4096 = {
+  { 2048, (const float64_t *)twiddleCoefF64_2048, armBitRevIndexTableF64_2048, ARMBITREVINDEXTABLEF64_2048_TABLE_LENGTH },
+  4096U,
+  (float64_t *)twiddleCoefF64_rfft_4096
+};
+#endif
+
+/* Floating-point structs */
+
+#if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = {
+  { 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH },
+  32U,
+  (float32_t *)twiddleCoef_rfft_32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = {
+   { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH },
+  64U,
+  (float32_t *)twiddleCoef_rfft_64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = {
+  { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH },
+  128U,
+  (float32_t *)twiddleCoef_rfft_128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = {
+  { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH },
+  256U,
+  (float32_t *)twiddleCoef_rfft_256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = {
+  { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH },
+  512U,
+  (float32_t *)twiddleCoef_rfft_512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = {
+  { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH },
+  1024U,
+  (float32_t *)twiddleCoef_rfft_1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = {
+  { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH },
+  2048U,
+  (float32_t *)twiddleCoef_rfft_2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = {
+  { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH },
+  4096U,
+  (float32_t *)twiddleCoef_rfft_4096
+};
+#endif
+
+#endif /* #if !defined(ARM_MATH_MVEF) || defined(ARM_MATH_AUTOVECTORIZE) */
+
+/* Fixed-point structs */
+/* q31_t */
+
+#if !defined(ARM_MATH_MVEI) || defined(ARM_MATH_AUTOVECTORIZE)
+
+/* 
+
+Those structures cannot be used to initialize the MVE version of the FFT Q31 instances.
+So they are not compiled when MVE is defined.
+
+For the MVE version, the new arm_cfft_init_f32 must be used.
+
+
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = {
+  32U,
+  0,
+  1,
+  256U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len16
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = {
+  64U,
+  0,
+  1,
+  128U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = {
+  128U,
+  0,
+  1,
+  64U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = {
+  256U,
+  0,
+  1,
+  32U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = {
+  512U,
+  0,
+  1,
+  16U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = {
+  1024U,
+  0,
+  1,
+  8U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = {
+  2048U,
+  0,
+  1,
+  4U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = {
+  4096U,
+  0,
+  1,
+  2U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = {
+  8192U,
+  0,
+  1,
+  1U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len4096
+};
+#endif
+
+
+
+/* q15_t */
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = {
+  32U,
+  0,
+  1,
+  256U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len16
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = {
+  64U,
+  0,
+  1,
+  128U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = {
+  128U,
+  0,
+  1,
+  64U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = {
+  256U,
+  0,
+  1,
+  32U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = {
+  512U,
+  0,
+  1,
+  16U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = {
+  1024U,
+  0,
+  1,
+  8U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = {
+  2048U,
+  0,
+  1,
+  4U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = {
+  4096U,
+  0,
+  1,
+  2U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = {
+  8192U,
+  0,
+  1,
+  1U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len4096
+};
+#endif
+
+#endif /* !defined(ARM_MATH_MVEI) */
+
+
+#endif

Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c

@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_bitreversal2.c
+ * Description:  Bitreversal functions
+ *
+ * $Date:        23 April 2021
+ * $Revision:    V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/transform_functions.h"
+#include "arm_common_tables.h"
+
+
+/**
+  @brief         In-place 64 bit reversal function.
+  @param[in,out] pSrc        points to in-place buffer of unknown 64-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_64(
+        uint64_t *pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t *pBitRevTab)
+{
+  uint64_t a, b, i, tmp;
+
+  for (i = 0; i < bitRevLen; )
+  {
+     a = pBitRevTab[i    ] >> 2;
+     b = pBitRevTab[i + 1] >> 2;
+
+     //real
+     tmp = pSrc[a];
+     pSrc[a] = pSrc[b];
+     pSrc[b] = tmp;
+
+     //complex
+     tmp = pSrc[a+1];
+     pSrc[a+1] = pSrc[b+1];
+     pSrc[b+1] = tmp;
+
+    i += 2;
+  }
+}
+
+/**
+  @brief         In-place 32 bit reversal function.
+  @param[in,out] pSrc        points to in-place buffer of unknown 32-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_32(
+        uint32_t *pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t *pBitRevTab)
+{
+  uint32_t a, b, i, tmp;
+
+  for (i = 0; i < bitRevLen; )
+  {
+     a = pBitRevTab[i    ] >> 2;
+     b = pBitRevTab[i + 1] >> 2;
+
+     //real
+     tmp = pSrc[a];
+     pSrc[a] = pSrc[b];
+     pSrc[b] = tmp;
+
+     //complex
+     tmp = pSrc[a+1];
+     pSrc[a+1] = pSrc[b+1];
+     pSrc[b+1] = tmp;
+
+    i += 2;
+  }
+}
+
+
+/**
+  @brief         In-place 16 bit reversal function.
+  @param[in,out] pSrc        points to in-place buffer of unknown 16-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_16(
+        uint16_t *pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t *pBitRevTab)
+{
+  uint16_t a, b, i, tmp;
+
+  for (i = 0; i < bitRevLen; )
+  {
+     a = pBitRevTab[i    ] >> 2;
+     b = pBitRevTab[i + 1] >> 2;
+
+     //real
+     tmp = pSrc[a];
+     pSrc[a] = pSrc[b];
+     pSrc[b] = tmp;
+
+     //complex
+     tmp = pSrc[a+1];
+     pSrc[a+1] = pSrc[b+1];
+     pSrc[b+1] = tmp;
+
+    i += 2;
+  }
+}

Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_init_f32.c

@@ -0,0 +1,358 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_init_f32.c
+ * Description:  Initialization function for cfft f32 instance
+ *
+ * $Date:        23 April 2021
+ * $Revision:    V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#define FFTINIT(EXT,SIZE)                                           \
+  S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength;        \
+  S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable;         \
+  S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle;
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Initialization function for the cfft f32 function
+  @param[in,out] S              points to an instance of the floating-point CFFT structure
+  @param[in]     fftLen         fft length (number of complex samples)
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+
+  @par          Use of this function is mandatory only for the MVE version of the FFT.
+                Other versions can still initialize directly the data structure using 
+                variables declared in arm_const_structs.h
+ */
+
+#include "dsp/transform_functions.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+
+#include "arm_vec_fft.h"
+#include "arm_mve_tables.h"
+
+arm_status arm_cfft_radix4by2_rearrange_twiddles_f32(arm_cfft_instance_f32 *S, int twidCoefModifier)
+{
+                                                                  
+        switch (S->fftLen >> (twidCoefModifier - 1)) {  
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) \
+            || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)                                                                                                
+        case 4096U:                                                                                
+            S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_4096_f32;
+            S->rearranged_twiddle_stride1  =  rearranged_twiddle_stride1_4096_f32;     
+
+            S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_4096_f32;
+            S->rearranged_twiddle_stride2  =  rearranged_twiddle_stride2_4096_f32;    
+
+            S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_4096_f32;
+            S->rearranged_twiddle_stride3  =  rearranged_twiddle_stride3_4096_f32;                                                     
+            break; 
+#endif                                  
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) \
+            || defined(ARM_TABLE_TWIDDLECOEF_F32_1024) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)                                                                                                  
+        case 1024U:                                                                                
+            S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_1024_f32;
+            S->rearranged_twiddle_stride1  =  rearranged_twiddle_stride1_1024_f32;     
+
+            S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_1024_f32;
+            S->rearranged_twiddle_stride2  =  rearranged_twiddle_stride2_1024_f32;    
+
+            S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_1024_f32;
+            S->rearranged_twiddle_stride3  =  rearranged_twiddle_stride3_1024_f32;                                                                          
+            break;                                                                                 
+ #endif 
+
+ #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) \
+            || defined(ARM_TABLE_TWIDDLECOEF_F32_256) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)                                                                                                 
+        case 256U:                                                                                 
+            S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_256_f32;
+            S->rearranged_twiddle_stride1  =  rearranged_twiddle_stride1_256_f32;     
+
+            S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_256_f32;
+            S->rearranged_twiddle_stride2  =  rearranged_twiddle_stride2_256_f32;    
+
+            S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_256_f32;
+            S->rearranged_twiddle_stride3  =  rearranged_twiddle_stride3_256_f32;    
+
+            break;                     
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) \
+            || defined(ARM_TABLE_TWIDDLECOEF_F32_64) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+        case 64U:                                                                                  
+            S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_64_f32;
+            S->rearranged_twiddle_stride1  =  rearranged_twiddle_stride1_64_f32;     
+
+            S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_64_f32;
+            S->rearranged_twiddle_stride2  =  rearranged_twiddle_stride2_64_f32;    
+
+            S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_64_f32;
+            S->rearranged_twiddle_stride3  =  rearranged_twiddle_stride3_64_f32;                                                                         
+            break;  
+#endif                                                                               
+              
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) \
+            || defined(ARM_TABLE_TWIDDLECOEF_F32_16) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)                                                                                                                                                                                                               
+        case 16U:                                                                                  
+            S->rearranged_twiddle_tab_stride1_arr = rearranged_twiddle_tab_stride1_arr_16_f32;
+            S->rearranged_twiddle_stride1  =  rearranged_twiddle_stride1_16_f32;     
+
+            S->rearranged_twiddle_tab_stride2_arr = rearranged_twiddle_tab_stride2_arr_16_f32;
+            S->rearranged_twiddle_stride2  =  rearranged_twiddle_stride2_16_f32;    
+
+            S->rearranged_twiddle_tab_stride3_arr = rearranged_twiddle_tab_stride3_arr_16_f32;
+            S->rearranged_twiddle_stride3  =  rearranged_twiddle_stride3_16_f32;                                                                       
+            break;  
+#endif                                                                               
+                                                                                                   
+        default:  
+            return(ARM_MATH_ARGUMENT_ERROR);                                                                                 
+            break;                                                                                 
+            /* invalid sizes already filtered */                                                   
+        }                                                                                          
+
+        return(ARM_MATH_SUCCESS);
+
+}
+
+arm_status arm_cfft_init_f32(
+  arm_cfft_instance_f32 * S,
+  uint16_t fftLen)
+{
+
+        /*  Initialise the default arm status */                                
+        arm_status status = ARM_MATH_SUCCESS;                                   
+                                                                                
+        /*  Initialise the FFT length */                                        
+        S->fftLen = fftLen;                                                     
+                                                                                
+        /*  Initialise the Twiddle coefficient pointer */                       
+        S->pTwiddle = NULL;                         
+                                                                                
+                                                                                
+        /*  Initializations of Instance structure depending on the FFT length */
+        switch (S->fftLen) {                                                    
+            /*  Initializations of structure parameters for 4096 point FFT */   
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_4096) && defined(ARM_TABLE_TWIDDLECOEF_F32_4096))                     
+        case 4096U:  
+            /*  Initialise the bit reversal table modifier */                   
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH;      
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_4096;   
+            S->pTwiddle = (float32_t *)twiddleCoef_4096;       
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1);               
+            break;                                                              
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_2048) && defined(ARM_TABLE_TWIDDLECOEF_F32_2048))                                                
+            /*  Initializations of structure parameters for 2048 point FFT */   
+        case 2048U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH;      
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_2048;
+            S->pTwiddle = (float32_t *)twiddleCoef_2048;          
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2);           
+            break;     
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_1024) && defined(ARM_TABLE_TWIDDLECOEF_F32_1024))                                                           
+            /*  Initializations of structure parameters for 1024 point FFT */   
+        case 1024U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH;      
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_1024; 
+            S->pTwiddle = (float32_t *)twiddleCoef_1024;         
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1);           
+            break;                                                              
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_512) && defined(ARM_TABLE_TWIDDLECOEF_F32_512))                     
+            /*  Initializations of structure parameters for 512 point FFT */    
+        case 512U:                                                              
+            /*  Initialise the bit reversal table modifier */                   
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH;       
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_512;  
+            S->pTwiddle = (float32_t *)twiddleCoef_512;         
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2);           
+            break;                                                              
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_256) && defined(ARM_TABLE_TWIDDLECOEF_F32_256))                                                           
+        case 256U:                                                              
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH;       
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_256; 
+            S->pTwiddle = (float32_t *)twiddleCoef_256;          
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1);           
+            break;  
+#endif                                                            
+                 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_128) && defined(ARM_TABLE_TWIDDLECOEF_F32_128))                                                                                                                          
+        case 128U:                                                              
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH;       
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_128; 
+            S->pTwiddle = (float32_t *)twiddleCoef_128;          
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2);           
+            break;                                                              
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_64) && defined(ARM_TABLE_TWIDDLECOEF_F32_64))                                                                                                                      
+        case 64U:                                                               
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH;        
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_64;  
+            S->pTwiddle = (float32_t *)twiddleCoef_64;          
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1);           
+            break;                                                              
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_32) && defined(ARM_TABLE_TWIDDLECOEF_F32_32))                                                                                                                           
+        case 32U:                                                               
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH;        
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_32;  
+            S->pTwiddle = (float32_t *)twiddleCoef_32;          
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 2);           
+            break;                                                              
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_BITREVIDX_FXT_16) && defined(ARM_TABLE_TWIDDLECOEF_F32_16))                                                                                                                                
+        case 16U:                                                               
+            /*  Initializations of structure parameters for 16 point FFT */     
+            S->bitRevLength = ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH;        
+            S->pBitRevTable = (uint16_t *)armBitRevIndexTable_fixed_16; 
+            S->pTwiddle = (float32_t *)twiddleCoef_16;           
+            status=arm_cfft_radix4by2_rearrange_twiddles_f32(S, 1);           
+            break;                                                              
+#endif                                                                             
+                                                                                
+        default:                                                                
+            /*  Reporting argument error if fftSize is not valid value */       
+            status = ARM_MATH_ARGUMENT_ERROR;                                   
+            break;                                                              
+        }                                                                       
+                                                                                
+                                                                                
+        return (status);     
+}
+#else
+arm_status arm_cfft_init_f32(
+  arm_cfft_instance_f32 * S,
+  uint16_t fftLen)
+{
+        /*  Initialise the default arm status */
+        arm_status status = ARM_MATH_SUCCESS;
+
+        /*  Initialise the FFT length */
+        S->fftLen = fftLen;
+
+        /*  Initialise the Twiddle coefficient pointer */
+        S->pTwiddle = NULL;
+
+
+        /*  Initializations of Instance structure depending on the FFT length */
+        switch (S->fftLen) {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096))
+            /*  Initializations of structure parameters for 4096 point FFT */
+        case 4096U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,4096);
+            break;
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048))
+            /*  Initializations of structure parameters for 2048 point FFT */
+        case 2048U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,2048);
+
+            break;
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024))
+            /*  Initializations of structure parameters for 1024 point FFT */
+        case 1024U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,1024);
+
+            break;
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512))
+            /*  Initializations of structure parameters for 512 point FFT */
+        case 512U:
+            /*  Initialise the bit reversal table modifier */
+            FFTINIT(f32,512);
+            break;
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256))
+        case 256U:
+            FFTINIT(f32,256);
+            break;
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128))
+        case 128U:
+            FFTINIT(f32,128);
+            break;
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64))
+        case 64U:
+            FFTINIT(f32,64);
+            break;
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32))
+        case 32U:
+            FFTINIT(f32,32);
+            break;
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16))
+        case 16U:
+            /*  Initializations of structure parameters for 16 point FFT */
+            FFTINIT(f32,16);
+            break;
+#endif
+
+        default:
+            /*  Reporting argument error if fftSize is not valid value */
+            status = ARM_MATH_ARGUMENT_ERROR;
+            break;
+        }
+
+
+        return (status);
+}
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+  @} end of ComplexFFT group
+ */

Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c

@@ -0,0 +1,285 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix8_f32.c
+ * Description:  Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $Date:        23 April 2021
+ * $Revision:    V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/transform_functions.h"
+
+
+/* ----------------------------------------------------------------------
+ * Internal helper function used by the FFTs
+ * -------------------------------------------------------------------- */
+
+/**
+  brief         Core function for the floating-point CFFT butterfly process.
+  param[in,out] pSrc             points to the in-place buffer of floating-point data type.
+  param[in]     fftLen           length of the FFT.
+  param[in]     pCoef            points to the twiddle coefficient buffer.
+  param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+  return        none
+*/
+
+void arm_radix8_butterfly_f32(
+  float32_t * pSrc,
+  uint16_t fftLen,
+  const float32_t * pCoef,
+  uint16_t twidCoefModifier)
+{
+   uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7;
+   uint32_t i1, i2, i3, i4, i5, i6, i7, i8;
+   uint32_t id;
+   uint32_t n1, n2, j;
+
+   float32_t r1, r2, r3, r4, r5, r6, r7, r8;
+   float32_t t1, t2;
+   float32_t s1, s2, s3, s4, s5, s6, s7, s8;
+   float32_t p1, p2, p3, p4;
+   float32_t co2, co3, co4, co5, co6, co7, co8;
+   float32_t si2, si3, si4, si5, si6, si7, si8;
+   const float32_t C81 = 0.70710678118f;
+
+   n2 = fftLen;
+
+   do
+   {
+      n1 = n2;
+      n2 = n2 >> 3;
+      i1 = 0;
+
+      do
+      {
+         i2 = i1 + n2;
+         i3 = i2 + n2;
+         i4 = i3 + n2;
+         i5 = i4 + n2;
+         i6 = i5 + n2;
+         i7 = i6 + n2;
+         i8 = i7 + n2;
+         r1 = pSrc[2 * i1] + pSrc[2 * i5];
+         r5 = pSrc[2 * i1] - pSrc[2 * i5];
+         r2 = pSrc[2 * i2] + pSrc[2 * i6];
+         r6 = pSrc[2 * i2] - pSrc[2 * i6];
+         r3 = pSrc[2 * i3] + pSrc[2 * i7];
+         r7 = pSrc[2 * i3] - pSrc[2 * i7];
+         r4 = pSrc[2 * i4] + pSrc[2 * i8];
+         r8 = pSrc[2 * i4] - pSrc[2 * i8];
+         t1 = r1 - r3;
+         r1 = r1 + r3;
+         r3 = r2 - r4;
+         r2 = r2 + r4;
+         pSrc[2 * i1] = r1 + r2;
+         pSrc[2 * i5] = r1 - r2;
+         r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+         s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+         r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+         s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+         s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+         s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+         r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+         s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+         t2 = r1 - s3;
+         r1 = r1 + s3;
+         s3 = r2 - r4;
+         r2 = r2 + r4;
+         pSrc[2 * i1 + 1] = r1 + r2;
+         pSrc[2 * i5 + 1] = r1 - r2;
+         pSrc[2 * i3]     = t1 + s3;
+         pSrc[2 * i7]     = t1 - s3;
+         pSrc[2 * i3 + 1] = t2 - r3;
+         pSrc[2 * i7 + 1] = t2 + r3;
+         r1 = (r6 - r8) * C81;
+         r6 = (r6 + r8) * C81;
+         r2 = (s6 - s8) * C81;
+         s6 = (s6 + s8) * C81;
+         t1 = r5 - r1;
+         r5 = r5 + r1;
+         r8 = r7 - r6;
+         r7 = r7 + r6;
+         t2 = s5 - r2;
+         s5 = s5 + r2;
+         s8 = s7 - s6;
+         s7 = s7 + s6;
+         pSrc[2 * i2]     = r5 + s7;
+         pSrc[2 * i8]     = r5 - s7;
+         pSrc[2 * i6]     = t1 + s8;
+         pSrc[2 * i4]     = t1 - s8;
+         pSrc[2 * i2 + 1] = s5 - r7;
+         pSrc[2 * i8 + 1] = s5 + r7;
+         pSrc[2 * i6 + 1] = t2 - r8;
+         pSrc[2 * i4 + 1] = t2 + r8;
+
+         i1 += n1;
+      } while (i1 < fftLen);
+
+      if (n2 < 8)
+         break;
+
+      ia1 = 0;
+      j = 1;
+
+      do
+      {
+         /*  index calculation for the coefficients */
+         id  = ia1 + twidCoefModifier;
+         ia1 = id;
+         ia2 = ia1 + id;
+         ia3 = ia2 + id;
+         ia4 = ia3 + id;
+         ia5 = ia4 + id;
+         ia6 = ia5 + id;
+         ia7 = ia6 + id;
+
+         co2 = pCoef[2 * ia1];
+         co3 = pCoef[2 * ia2];
+         co4 = pCoef[2 * ia3];
+         co5 = pCoef[2 * ia4];
+         co6 = pCoef[2 * ia5];
+         co7 = pCoef[2 * ia6];
+         co8 = pCoef[2 * ia7];
+         si2 = pCoef[2 * ia1 + 1];
+         si3 = pCoef[2 * ia2 + 1];
+         si4 = pCoef[2 * ia3 + 1];
+         si5 = pCoef[2 * ia4 + 1];
+         si6 = pCoef[2 * ia5 + 1];
+         si7 = pCoef[2 * ia6 + 1];
+         si8 = pCoef[2 * ia7 + 1];
+
+         i1 = j;
+
+         do
+         {
+            /*  index calculation for the input */
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+            i4 = i3 + n2;
+            i5 = i4 + n2;
+            i6 = i5 + n2;
+            i7 = i6 + n2;
+            i8 = i7 + n2;
+            r1 = pSrc[2 * i1] + pSrc[2 * i5];
+            r5 = pSrc[2 * i1] - pSrc[2 * i5];
+            r2 = pSrc[2 * i2] + pSrc[2 * i6];
+            r6 = pSrc[2 * i2] - pSrc[2 * i6];
+            r3 = pSrc[2 * i3] + pSrc[2 * i7];
+            r7 = pSrc[2 * i3] - pSrc[2 * i7];
+            r4 = pSrc[2 * i4] + pSrc[2 * i8];
+            r8 = pSrc[2 * i4] - pSrc[2 * i8];
+            t1 = r1 - r3;
+            r1 = r1 + r3;
+            r3 = r2 - r4;
+            r2 = r2 + r4;
+            pSrc[2 * i1] = r1 + r2;
+            r2 = r1 - r2;
+            s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+            s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+            s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+            s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+            s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+            s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+            s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+            s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+            t2 = s1 - s3;
+            s1 = s1 + s3;
+            s3 = s2 - s4;
+            s2 = s2 + s4;
+            r1 = t1 + s3;
+            t1 = t1 - s3;
+            pSrc[2 * i1 + 1] = s1 + s2;
+            s2 = s1 - s2;
+            s1 = t2 - r3;
+            t2 = t2 + r3;
+            p1 = co5 * r2;
+            p2 = si5 * s2;
+            p3 = co5 * s2;
+            p4 = si5 * r2;
+            pSrc[2 * i5]     = p1 + p2;
+            pSrc[2 * i5 + 1] = p3 - p4;
+            p1 = co3 * r1;
+            p2 = si3 * s1;
+            p3 = co3 * s1;
+            p4 = si3 * r1;
+            pSrc[2 * i3]     = p1 + p2;
+            pSrc[2 * i3 + 1] = p3 - p4;
+            p1 = co7 * t1;
+            p2 = si7 * t2;
+            p3 = co7 * t2;
+            p4 = si7 * t1;
+            pSrc[2 * i7]     = p1 + p2;
+            pSrc[2 * i7 + 1] = p3 - p4;
+            r1 = (r6 - r8) * C81;
+            r6 = (r6 + r8) * C81;
+            s1 = (s6 - s8) * C81;
+            s6 = (s6 + s8) * C81;
+            t1 = r5 - r1;
+            r5 = r5 + r1;
+            r8 = r7 - r6;
+            r7 = r7 + r6;
+            t2 = s5 - s1;
+            s5 = s5 + s1;
+            s8 = s7 - s6;
+            s7 = s7 + s6;
+            r1 = r5 + s7;
+            r5 = r5 - s7;
+            r6 = t1 + s8;
+            t1 = t1 - s8;
+            s1 = s5 - r7;
+            s5 = s5 + r7;
+            s6 = t2 - r8;
+            t2 = t2 + r8;
+            p1 = co2 * r1;
+            p2 = si2 * s1;
+            p3 = co2 * s1;
+            p4 = si2 * r1;
+            pSrc[2 * i2]     = p1 + p2;
+            pSrc[2 * i2 + 1] = p3 - p4;
+            p1 = co8 * r5;
+            p2 = si8 * s5;
+            p3 = co8 * s5;
+            p4 = si8 * r5;
+            pSrc[2 * i8]     = p1 + p2;
+            pSrc[2 * i8 + 1] = p3 - p4;
+            p1 = co6 * r6;
+            p2 = si6 * s6;
+            p3 = co6 * s6;
+            p4 = si6 * r6;
+            pSrc[2 * i6]     = p1 + p2;
+            pSrc[2 * i6 + 1] = p3 - p4;
+            p1 = co4 * t1;
+            p2 = si4 * t2;
+            p3 = co4 * t2;
+            p4 = si4 * t1;
+            pSrc[2 * i4]     = p1 + p2;
+            pSrc[2 * i4 + 1] = p3 - p4;
+
+            i1 += n1;
+         } while (i1 < fftLen);
+
+         j++;
+      } while (j < n2);
+
+      twidCoefModifier <<= 3;
+   } while (n2 > 7);
+}

Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c

@@ -0,0 +1,603 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_fast_f32.c
+ * Description:  RFFT & RIFFT Floating point process function
+ *
+ * $Date:        23 April 2021
+ * $Revision:    V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/transform_functions.h"
+
+#if defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE)
+void stage_rfft_f32(
+  const arm_rfft_fast_instance_f32 * S,
+        float32_t * p,
+        float32_t * pOut)
+{
+        int32_t  k;                                /* Loop Counter */
+        float32_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float32_t * pCoeff = S->pTwiddleRFFT;       /* Points to RFFT Twiddle factors */
+        float32_t *pA = p;                          /* increasing pointer */
+        float32_t *pB = p;                          /* decreasing pointer */
+        float32_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float32_t t1a, t1b;                         /* temporary variables */
+        float32_t p0, p1, p2, p3;                   /* temporary variables */
+
+        float32x4x2_t tw,xA,xB;
+        float32x4x2_t tmp1, tmp2, res;
+
+        uint32x4_t     vecStridesFwd, vecStridesBkwd;
+
+        vecStridesFwd = vidupq_u32((uint32_t)0, 2);
+        vecStridesBkwd = -vecStridesFwd;
+
+        int blockCnt;
+
+
+   k = (S->Sint).fftLen - 1;
+
+   /* Pack first and last sample of the frequency domain together */
+
+   xBR = pB[0];
+   xBI = pB[1];
+   xAR = pA[0];
+   xAI = pA[1];
+
+   twR = *pCoeff++ ;
+   twI = *pCoeff++ ;
+
+   // U1 = XA(1) + XB(1); % It is real
+   t1a = xBR + xAR  ;
+
+   // U2 = XB(1) - XA(1); % It is imaginary
+   t1b = xBI + xAI  ;
+
+   // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+   // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+   *pOut++ = 0.5f * ( t1a + t1b );
+   *pOut++ = 0.5f * ( t1a - t1b );
+
+   // XA(1) = 1/2*( U1 - imag(U2) +  i*( U1 +imag(U2) ));
+   pB  = p + 2*k;
+   pA += 2;
+
+   blockCnt = k >> 2;
+   while (blockCnt > 0)
+   {
+      /*
+         function X = my_split_rfft(X, ifftFlag)
+         % X is a series of real numbers
+         L  = length(X);
+         XC = X(1:2:end) +i*X(2:2:end);
+         XA = fft(XC);
+         XB = conj(XA([1 end:-1:2]));
+         TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+         for l = 2:L/2
+            XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+         end
+         XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+         X = XA;
+      */
+
+
+      xA = vld2q_f32(pA);
+      pA += 8;
+
+      xB = vld2q_f32(pB);
+
+      xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd);
+      xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd);
+
+      xB.val[1] = vnegq_f32(xB.val[1]);
+      pB -= 8;
+
+
+      tw = vld2q_f32(pCoeff);
+      pCoeff += 8;
+
+
+      tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]);
+      tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]);
+
+      tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]);
+      tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]);
+
+      res.val[0] = vmulq(tw.val[0], tmp2.val[0]);
+      res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]);
+
+      res.val[1] = vmulq(tw.val[0], tmp2.val[1]);
+      res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]);
+
+      res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] );
+      res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] );
+
+      res.val[0] = vmulq_n_f32(res.val[0], 0.5f);
+      res.val[1] = vmulq_n_f32(res.val[1], 0.5f);
+
+
+      vst2q_f32(pOut, res);
+      pOut += 8;
+
+    
+      blockCnt--;
+   } 
+
+   blockCnt = k & 3;
+   while (blockCnt > 0)
+   {
+      /*
+         function X = my_split_rfft(X, ifftFlag)
+         % X is a series of real numbers
+         L  = length(X);
+         XC = X(1:2:end) +i*X(2:2:end);
+         XA = fft(XC);
+         XB = conj(XA([1 end:-1:2]));
+         TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+         for l = 2:L/2
+            XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+         end
+         XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+         X = XA;
+      */
+
+      xBI = pB[1];
+      xBR = pB[0];
+      xAR = pA[0];
+      xAI = pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xBR - xAR ;
+      t1b = xBI + xAI ;
+
+      // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+      // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+      p0 = twR * t1a;
+      p1 = twI * t1a;
+      p2 = twR * t1b;
+      p3 = twI * t1b;
+
+      *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      blockCnt--;
+   }
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f32(
+  const arm_rfft_fast_instance_f32 * S,
+        float32_t * p,
+        float32_t * pOut)
+{
+        int32_t  k;                                /* Loop Counter */
+        float32_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float32_t *pCoeff = S->pTwiddleRFFT;        /* Points to RFFT Twiddle factors */
+        float32_t *pA = p;                          /* increasing pointer */
+        float32_t *pB = p;                          /* decreasing pointer */
+        float32_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float32_t t1a, t1b, r, s, t, u;             /* temporary variables */
+
+        float32x4x2_t tw,xA,xB;
+        float32x4x2_t tmp1, tmp2, res;
+        uint32x4_t     vecStridesFwd, vecStridesBkwd;
+
+        vecStridesFwd = vidupq_u32((uint32_t)0, 2);
+        vecStridesBkwd = -vecStridesFwd;
+
+        int blockCnt;
+        
+
+   k = (S->Sint).fftLen - 1;
+
+   xAR = pA[0];
+   xAI = pA[1];
+
+   pCoeff += 2 ;
+
+   *pOut++ = 0.5f * ( xAR + xAI );
+   *pOut++ = 0.5f * ( xAR - xAI );
+
+   pB  =  p + 2*k ;
+   pA +=  2    ;
+
+   blockCnt = k >> 2;
+   while (blockCnt > 0)
+   {
+      /* G is half of the frequency complex spectrum */
+      //for k = 2:N
+      //    Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+      xA = vld2q_f32(pA);
+      pA += 8;
+
+      xB = vld2q_f32(pB);
+
+      xB.val[0] = vldrwq_gather_shifted_offset_f32(pB, vecStridesBkwd);
+      xB.val[1] = vldrwq_gather_shifted_offset_f32(&pB[1], vecStridesBkwd);
+
+      xB.val[1] = vnegq_f32(xB.val[1]);
+      pB -= 8;
+
+
+      tw = vld2q_f32(pCoeff);
+      tw.val[1] = vnegq_f32(tw.val[1]);
+      pCoeff += 8;
+
+
+      tmp1.val[0] = vaddq_f32(xA.val[0],xB.val[0]);
+      tmp1.val[1] = vaddq_f32(xA.val[1],xB.val[1]);
+
+      tmp2.val[0] = vsubq_f32(xB.val[0],xA.val[0]);
+      tmp2.val[1] = vsubq_f32(xB.val[1],xA.val[1]);
+
+      res.val[0] = vmulq(tw.val[0], tmp2.val[0]);
+      res.val[0] = vfmsq(res.val[0],tw.val[1], tmp2.val[1]);
+
+      res.val[1] = vmulq(tw.val[0], tmp2.val[1]);
+      res.val[1] = vfmaq(res.val[1], tw.val[1], tmp2.val[0]);
+
+      res.val[0] = vaddq_f32(res.val[0],tmp1.val[0] );
+      res.val[1] = vaddq_f32(res.val[1],tmp1.val[1] );
+
+      res.val[0] = vmulq_n_f32(res.val[0], 0.5f);
+      res.val[1] = vmulq_n_f32(res.val[1], 0.5f);
+
+
+      vst2q_f32(pOut, res);
+      pOut += 8;
+
+    
+      blockCnt--;
+   }
+
+   blockCnt = k & 3;
+   while (blockCnt > 0)
+   {
+      /* G is half of the frequency complex spectrum */
+      //for k = 2:N
+      //    Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+      xBI =   pB[1]    ;
+      xBR =   pB[0]    ;
+      xAR =  pA[0];
+      xAI =  pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xAR - xBR ;
+      t1b = xAI + xBI ;
+
+      r = twR * t1a;
+      s = twI * t1b;
+      t = twI * t1a;
+      u = twR * t1b;
+
+      // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+      // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+      *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      blockCnt--;
+   }
+
+}
+#else
+void stage_rfft_f32(
+  const arm_rfft_fast_instance_f32 * S,
+        float32_t * p,
+        float32_t * pOut)
+{
+        int32_t  k;                                /* Loop Counter */
+        float32_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float32_t * pCoeff = S->pTwiddleRFFT;       /* Points to RFFT Twiddle factors */
+        float32_t *pA = p;                          /* increasing pointer */
+        float32_t *pB = p;                          /* decreasing pointer */
+        float32_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float32_t t1a, t1b;                         /* temporary variables */
+        float32_t p0, p1, p2, p3;                   /* temporary variables */
+
+
+   k = (S->Sint).fftLen - 1;
+
+   /* Pack first and last sample of the frequency domain together */
+
+   xBR = pB[0];
+   xBI = pB[1];
+   xAR = pA[0];
+   xAI = pA[1];
+
+   twR = *pCoeff++ ;
+   twI = *pCoeff++ ;
+
+
+   // U1 = XA(1) + XB(1); % It is real
+   t1a = xBR + xAR  ;
+
+   // U2 = XB(1) - XA(1); % It is imaginary
+   t1b = xBI + xAI  ;
+
+   // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+   // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+   *pOut++ = 0.5f * ( t1a + t1b );
+   *pOut++ = 0.5f * ( t1a - t1b );
+
+   // XA(1) = 1/2*( U1 - imag(U2) +  i*( U1 +imag(U2) ));
+   pB  = p + 2*k;
+   pA += 2;
+
+   do
+   {
+      /*
+         function X = my_split_rfft(X, ifftFlag)
+         % X is a series of real numbers
+         L  = length(X);
+         XC = X(1:2:end) +i*X(2:2:end);
+         XA = fft(XC);
+         XB = conj(XA([1 end:-1:2]));
+         TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+         for l = 2:L/2
+            XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+         end
+         XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+         X = XA;
+      */
+
+      xBI = pB[1];
+      xBR = pB[0];
+      xAR = pA[0];
+      xAI = pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xBR - xAR ;
+      t1b = xBI + xAI ;
+
+      // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+      // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+      p0 = twR * t1a;
+      p1 = twI * t1a;
+      p2 = twR * t1b;
+      p3 = twI * t1b;
+
+      *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
+
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   } while (k > 0);
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f32(
+  const arm_rfft_fast_instance_f32 * S,
+        float32_t * p,
+        float32_t * pOut)
+{
+        int32_t  k;                                /* Loop Counter */
+        float32_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float32_t *pCoeff = S->pTwiddleRFFT;        /* Points to RFFT Twiddle factors */
+        float32_t *pA = p;                          /* increasing pointer */
+        float32_t *pB = p;                          /* decreasing pointer */
+        float32_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float32_t t1a, t1b, r, s, t, u;             /* temporary variables */
+
+   k = (S->Sint).fftLen - 1;
+
+   xAR = pA[0];
+   xAI = pA[1];
+
+   pCoeff += 2 ;
+
+   *pOut++ = 0.5f * ( xAR + xAI );
+   *pOut++ = 0.5f * ( xAR - xAI );
+
+   pB  =  p + 2*k ;
+   pA +=  2	   ;
+
+   while (k > 0)
+   {
+      /* G is half of the frequency complex spectrum */
+      //for k = 2:N
+      //    Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+      xBI =   pB[1]    ;
+      xBR =   pB[0]    ;
+      xAR =  pA[0];
+      xAI =  pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xAR - xBR ;
+      t1b = xAI + xBI ;
+
+      r = twR * t1a;
+      s = twI * t1b;
+      t = twI * t1a;
+      u = twR * t1b;
+
+      // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+      // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+      *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   }
+
+}
+
+#endif /* defined(ARM_MATH_MVEF) && !defined(ARM_MATH_AUTOVECTORIZE) */
+
+/**
+  @ingroup groupTransforms
+*/
+
+/**
+  @defgroup RealFFT Real FFT Functions
+ 
+  @par
+                   The CMSIS DSP library includes specialized algorithms for computing the
+                   FFT of real data sequences.  The FFT is defined over complex data but
+                   in many applications the input is real.  Real FFT algorithms take advantage
+                   of the symmetry properties of the FFT and have a speed advantage over complex
+                   algorithms of the same length.
+  @par
+                   The Fast RFFT algorithm relays on the mixed radix CFFT that save processor usage.
+  @par
+                   The real length N forward FFT of a sequence is computed using the steps shown below.
+  @par
+                   \image html RFFT.gif "Real Fast Fourier Transform"
+  @par
+                   The real sequence is initially treated as if it were complex to perform a CFFT.
+                   Later, a processing stage reshapes the data to obtain half of the frequency spectrum
+                   in complex format. Except the first complex number that contains the two real numbers
+                   X[0] and X[N/2] all the data is complex. In other words, the first complex sample
+                   contains two real values packed.
+  @par
+                   The input for the inverse RFFT should keep the same format as the output of the
+                   forward RFFT. A first processing stage pre-process the data to later perform an
+                   inverse CFFT.
+  @par
+                   \image html RIFFT.gif "Real Inverse Fast Fourier Transform"
+  @par
+                   The algorithms for floating-point, Q15, and Q31 data are slightly different
+                   and we describe each algorithm in turn.
+  @par           Floating-point
+                   The main functions are \ref arm_rfft_fast_f32() and \ref arm_rfft_fast_init_f32().
+                   The older functions \ref arm_rfft_f32() and \ref arm_rfft_init_f32() have been deprecated
+                   but are still documented.
+  @par
+                   The FFT of a real N-point sequence has even symmetry in the frequency domain. 
+                   The second half of the data equals the conjugate of the first half flipped in frequency. 
+                   Looking at the data, we see that we can uniquely represent the FFT using only N/2 complex numbers.
+                   These are packed into the output array in alternating real and imaginary components:
+  @par
+                   X = { real[0], imag[0], real[1], imag[1], real[2], imag[2] ...
+                   real[(N/2)-1], imag[(N/2)-1 }
+  @par
+                   It happens that the first complex number (real[0], imag[0]) is actually
+                   all real. real[0] represents the DC offset, and imag[0] should be 0.
+                   (real[1], imag[1]) is the fundamental frequency, (real[2], imag[2]) is
+                   the first harmonic and so on.
+  @par
+                   The real FFT functions pack the frequency domain data in this fashion.
+                   The forward transform outputs the data in this form and the inverse
+                   transform expects input data in this form. The function always performs
+                   the needed bitreversal so that the input and output data is always in
+                   normal order. The functions support lengths of [32, 64, 128, ..., 4096]
+                   samples.
+  @par           Q15 and Q31
+                   The real algorithms are defined in a similar manner and utilize N/2 complex
+                   transforms behind the scenes.
+  @par
+                   The complex transforms used internally include scaling to prevent fixed-point
+                   overflows.  The overall scaling equals 1/(fftLen/2).
+                   Due to the use of complex transform internally, the source buffer is
+                   modified by the rfft.
+  @par
+                   A separate instance structure must be defined for each transform used but
+                   twiddle factor and bit reversal tables can be reused.
+  @par
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                    - Sets the values of the internal structure fields.
+                    - Initializes twiddle factor table and bit reversal table pointers.
+                    - Initializes the internal complex FFT data structure.
+  @par
+                   Use of the initialization function is optional **except for MVE versions where it is mandatory**.
+                   If you don't use the initialization functions, then the structures should be initialized with code
+                   similar to the one below:
+  <pre>
+      arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+      arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+  </pre>
+                   where <code>fftLenReal</code> is the length of the real transform;
+                   <code>fftLenBy2</code> length of  the internal complex transform (fftLenReal/2).
+                   <code>ifftFlagR</code> Selects forward (=0) or inverse (=1) transform.
+                   <code>bitReverseFlagR</code> Selects bit reversed output (=0) or normal order
+                   output (=1).
+                   <code>twidCoefRModifier</code> stride modifier for the twiddle factor table.
+                   The value is based on the FFT length;
+                   <code>pTwiddleAReal</code>points to the A array of twiddle coefficients;
+                   <code>pTwiddleBReal</code>points to the B array of twiddle coefficients;
+                   <code>pCfft</code> points to the CFFT Instance structure. The CFFT structure
+                   must also be initialized.  
+@par
+                   Note that with MVE versions you can't initialize instance structures directly and **must
+                   use the initialization function**.
+ */
+
+/**
+  @addtogroup RealFFT
+  @{
+*/
+
+/**
+  @brief         Processing function for the floating-point real FFT.
+  @param[in]     S         points to an arm_rfft_fast_instance_f32 structure
+  @param[in]     p         points to input buffer (Source buffer is modified by this function.)
+  @param[in]     pOut      points to output buffer
+  @param[in]     ifftFlag
+                   - value = 0: RFFT
+                   - value = 1: RIFFT
+  @return        none
+*/
+
+void arm_rfft_fast_f32(
+  const arm_rfft_fast_instance_f32 * S,
+  float32_t * p,
+  float32_t * pOut,
+  uint8_t ifftFlag)
+{
+   const arm_cfft_instance_f32 * Sint = &(S->Sint);
+
+   /* Calculation of Real FFT */
+   if (ifftFlag)
+   {
+      /*  Real FFT compression */
+      merge_rfft_f32(S, p, pOut);
+      /* Complex radix-4 IFFT process */
+      arm_cfft_f32( Sint, pOut, ifftFlag, 1);
+   }
+   else
+   {
+      /* Calculation of RFFT of input */
+      arm_cfft_f32( Sint, p, ifftFlag, 1);
+
+      /*  Real FFT extraction */
+      stage_rfft_f32(S, p, pOut);
+   }
+}
+
+/**
+* @} end of RealFFT group
+*/

Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c

@@ -0,0 +1,352 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_fast_init_f32.c
+ * Description:  Split Radix Decimation in Frequency CFFT Floating point processing function
+ *
+ * $Date:        23 April 2021
+ * $Revision:    V1.9.0
+ *
+ * Target Processor: Cortex-M and Cortex-A cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2021 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "dsp/transform_functions.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+
+/**
+  @private
+  @brief         Initialization function for the 32pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_32_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),16);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+
+  S->fftLenRFFT = 32U;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_32;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+
+/**
+  @private
+  @brief         Initialization function for the 64pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_64_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),32);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+  S->fftLenRFFT = 64U;
+
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_64;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+
+/**
+  @private
+  @brief         Initialization function for the 128pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_128_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),64);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+  S->fftLenRFFT = 128;
+
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_128;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+
+/**
+  @private
+  @brief         Initialization function for the 256pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+*/
+
+static arm_status arm_rfft_256_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),128);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+  S->fftLenRFFT = 256U;
+
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_256;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+
+/**
+  @private
+  @brief         Initialization function for the 512pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_512_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),256);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+  S->fftLenRFFT = 512U;
+
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_512;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+/**
+  @private
+  @brief         Initialization function for the 1024pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_1024_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),512);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+  S->fftLenRFFT = 1024U;
+
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_1024;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+/**
+  @private
+  @brief         Initialization function for the 2048pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+static arm_status arm_rfft_2048_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),1024);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+  S->fftLenRFFT = 2048U;
+
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_2048;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+/**
+  @private
+* @brief         Initialization function for the 4096pt floating-point real FFT.
+* @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+static arm_status arm_rfft_4096_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_status status;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  status=arm_cfft_init_f32(&(S->Sint),2048);
+  if (status != ARM_MATH_SUCCESS)
+  {
+    return(status);
+  }
+  S->fftLenRFFT = 4096U;
+
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_4096;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+/**
+  @brief         Initialization function for the floating-point real FFT.
+  @param[in,out] S       points to an arm_rfft_fast_instance_f32 structure
+  @param[in]     fftLen  length of the Real Sequence
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Description
+                   The parameter <code>fftLen</code> specifies the length of RFFT/CIFFT process.
+                   Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_rfft_fast_init_f32(
+  arm_rfft_fast_instance_f32 * S,
+  uint16_t fftLen)
+{
+  typedef arm_status(*fft_init_ptr)( arm_rfft_fast_instance_f32 *);
+  fft_init_ptr fptr = 0x0;
+
+  switch (fftLen)
+  {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+  case 4096U:
+    fptr = arm_rfft_4096_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+  case 2048U:
+    fptr = arm_rfft_2048_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+  case 1024U:
+    fptr = arm_rfft_1024_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+  case 512U:
+    fptr = arm_rfft_512_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+  case 256U:
+    fptr = arm_rfft_256_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+  case 128U:
+    fptr = arm_rfft_128_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+  case 64U:
+    fptr = arm_rfft_64_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+  case 32U:
+    fptr = arm_rfft_32_fast_init_f32;
+    break;
+#endif
+  default:
+    break;
+  }
+
+  if( ! fptr ) return ARM_MATH_ARGUMENT_ERROR;
+  return fptr( S );
+
+}
+
+/**
+  @} end of RealFFT group
+ */

STM32CubeIDE/Appli/.project

@@ -430,6 +430,16 @@
 			<type>1</type>
 			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/gui/src/octaver_screen/OctaverView.cpp</locationURI>
 		</link>
+		<link>
+			<name>Application/User/gui/OscilloPresenter.cpp</name>
+			<type>1</type>
+			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/gui/src/oscillo_screen/OscilloPresenter.cpp</locationURI>
+		</link>
+		<link>
+			<name>Application/User/gui/OscilloView.cpp</name>
+			<type>1</type>
+			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/gui/src/oscillo_screen/OscilloView.cpp</locationURI>
+		</link>
 		<link>
 			<name>Application/User/gui/OverdrivePresenter.cpp</name>
 			<type>1</type>
@@ -580,6 +590,11 @@
 			<type>1</type>
 			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/generated/gui_generated/src/octaver_screen/OctaverViewBase.cpp</locationURI>
 		</link>
+		<link>
+			<name>Application/User/generated/OscilloViewBase.cpp</name>
+			<type>1</type>
+			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/generated/gui_generated/src/oscillo_screen/OscilloViewBase.cpp</locationURI>
+		</link>
 		<link>
 			<name>Application/User/generated/OverdriveViewBase.cpp</name>
 			<type>1</type>
@@ -620,6 +635,11 @@
 			<type>1</type>
 			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/generated/images/src/__generated/image_glass_theme_images_widgets_button_icon_round_huge_fill_pressed.cpp</locationURI>
 		</link>
+		<link>
+			<name>Application/User/generated/image_glass_theme_images_widgets_button_regular_height_36_medium_round_action.cpp</name>
+			<type>1</type>
+			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/generated/images/src/__generated/image_glass_theme_images_widgets_button_regular_height_36_medium_round_action.cpp</locationURI>
+		</link>
 		<link>
 			<name>Application/User/generated/image_glass_theme_images_widgets_button_regular_height_50_large_rounded_normal.cpp</name>
 			<type>1</type>
@@ -700,6 +720,11 @@
 			<type>1</type>
 			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/generated/images/src/__generated/image_icon_theme_images_av_fiber_manual_record_50_50_5E3E10.svg.cpp</locationURI>
 		</link>
+		<link>
+			<name>Application/User/generated/image_icon_theme_images_hardware_headset_50_50_FFFFFF.svg.cpp</name>
+			<type>1</type>
+			<locationURI>PARENT-2-PROJECT_LOC/Appli/TouchGFX/generated/images/src/__generated/image_icon_theme_images_hardware_headset_50_50_FFFFFF.svg.cpp</locationURI>
+		</link>
 		<link>
 			<name>Application/User/generated/image_fondHorlogerie1.cpp</name>
 			<type>1</type>

gcc/makefile_appli

@@ -300,6 +300,7 @@ board_c_files += \
 	Appli/Core/Src/stm32h7rsxx_hal_timebase_tim.c \
 	Appli/Core/Src/system_stm32h7rsxx.c \
 	Appli/Core/Src/audio_effects.c \
+	Appli/Core/Src/audio_analysis.c \
 	Appli/Core/Src/fx_octaver.c \
 	Appli/Core/Src/fx_equalizer.c \
 	Appli/Core/Src/fx_overdrive.c \
@@ -307,6 +308,22 @@ board_c_files += \
 	Appli/Core/Src/fx_echo.c \
 	Appli/Core/Src/fx_reverb.c
 
+# CMSIS-DSP (vendored from the STM32H7RS firmware package, source-only : no
+# precompiled .a for this device). Only the RFFT float32 chain needed by
+# audio_analysis.c is included, not the whole library. The MVE/Helium code
+# paths in arm_cfft_f32.c/arm_cfft_init_f32.c are guarded behind
+# ARM_MATH_MVEF, which is never defined here, so they compile out on this
+# Cortex-M7 (no Helium) target.
+board_c_files += \
+	$(Drivers_path)/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c \
+	$(Drivers_path)/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c \
+	$(Drivers_path)/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c \
+	$(Drivers_path)/CMSIS/DSP/Source/TransformFunctions/arm_cfft_init_f32.c \
+	$(Drivers_path)/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c \
+	$(Drivers_path)/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c \
+	$(Drivers_path)/CMSIS/DSP/Source/CommonTables/arm_common_tables.c \
+	$(Drivers_path)/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
+
 # Drivers
 board_include_paths := \
 	$(Drivers_path)/CMSIS/Include \
@@ -315,6 +332,8 @@ board_include_paths := \
 	$(Drivers_path)/CMSIS/RTOS2/Include \
 	$(Drivers_path)/STM32H7RSxx_BSP/STM32H7S78-DK \
 	$(Drivers_path)/STM32H7RSxx_BSP/Components/wm8904 \
+	$(Drivers_path)/CMSIS/DSP/Include \
+	$(Drivers_path)/CMSIS/DSP/PrivateInclude \
     Appli/Core/Inc \
 	$(gpu2d_path)/TouchGFXNema/include \
 	$(gpu2d_path)/NemaGFX/include