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authorJanHenrik <janhenrik@janhenrik.org>2020-04-01 00:40:03 +0200
committerJanHenrik <janhenrik@janhenrik.org>2020-04-01 00:40:03 +0200
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parent3ec13d81e70e52246545c720abe756ccf09fb231 (diff)
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Diffstat (limited to 'midi-dials/Drivers/CMSIS/DSP/Examples')
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/arm_class_marks_example_f32.c211
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/arm_convolution_example_f32.c247
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.c466
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.h63
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/arm_dotproduct_example_f32.c178
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_data.c308
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_example_f32.c158
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_data.c134
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_example_f32.c233
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.c466
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.h63
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_data.c134
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_example_q31.c411
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.c466
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.h63
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_data.c23616
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_example_f32.c204
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.c466
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.h63
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c233
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c466
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h63
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_data.c269
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_example_f32.c259
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.c466
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.h63
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/arm_sin_cos_example_f32.c161
-rw-r--r--midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/arm_variance_example_f32.c204
28 files changed, 30134 insertions, 0 deletions
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/arm_class_marks_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/arm_class_marks_example_f32.c
new file mode 100644
index 0000000..e6842de
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/arm_class_marks_example_f32.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_class_marks_example_f32.c
+*
+* Description: Example code to calculate Minimum, Maximum
+* Mean, std and variance of marks obtained in a class
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ClassMarks Class Marks Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use the Maximum, Minimum, Mean, Standard Deviation, Variance
+ * and Matrix functions to calculate statistical values of marks obtained in a class.
+ *
+ * \note This example also demonstrates the usage of static initialization.
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testMarks_f32 points to the marks scored by 20 students in 4 subjects
+ * \li \c max_marks Maximum of all marks
+ * \li \c min_marks Minimum of all marks
+ * \li \c mean Mean of all marks
+ * \li \c var Variance of the marks
+ * \li \c std Standard deviation of the marks
+ * \li \c numStudents Total number of students in the class
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_mult_f32()
+ * - arm_max_f32()
+ * - arm_min_f32()
+ * - arm_mean_f32()
+ * - arm_std_f32()
+ * - arm_var_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_class_marks_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_class_marks_example_f32.c
+ */
+#include "arm_math.h"
+
+#define USE_STATIC_INIT
+
+ /* ----------------------------------------------------------------------
+** Global defines
+** ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES (20*4)
+
+/* ----------------------------------------------------------------------
+** List of Marks scored by 20 students for 4 subjects
+** ------------------------------------------------------------------- */
+const float32_t testMarks_f32[TEST_LENGTH_SAMPLES] =
+{
+ 42.000000, 37.000000, 81.000000, 28.000000,
+ 83.000000, 72.000000, 36.000000, 38.000000,
+ 32.000000, 51.000000, 63.000000, 64.000000,
+ 97.000000, 82.000000, 95.000000, 90.000000,
+ 66.000000, 51.000000, 54.000000, 42.000000,
+ 67.000000, 56.000000, 45.000000, 57.000000,
+ 67.000000, 69.000000, 35.000000, 52.000000,
+ 29.000000, 81.000000, 58.000000, 47.000000,
+ 38.000000, 76.000000, 100.000000, 29.000000,
+ 33.000000, 47.000000, 29.000000, 50.000000,
+ 34.000000, 41.000000, 61.000000, 46.000000,
+ 52.000000, 50.000000, 48.000000, 36.000000,
+ 47.000000, 55.000000, 44.000000, 40.000000,
+ 100.000000, 94.000000, 84.000000, 37.000000,
+ 32.000000, 71.000000, 47.000000, 77.000000,
+ 31.000000, 50.000000, 49.000000, 35.000000,
+ 63.000000, 67.000000, 40.000000, 31.000000,
+ 29.000000, 68.000000, 61.000000, 38.000000,
+ 31.000000, 28.000000, 28.000000, 76.000000,
+ 55.000000, 33.000000, 29.000000, 39.000000
+};
+
+
+/* ----------------------------------------------------------------------
+* Number of subjects X 1
+* ------------------------------------------------------------------- */
+const float32_t testUnity_f32[4] =
+{
+ 1.000, 1.000, 1.000, 1.000
+};
+
+
+/* ----------------------------------------------------------------------
+** f32 Output buffer
+** ------------------------------------------------------------------- */
+static float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+
+/* ------------------------------------------------------------------
+* Global defines
+*------------------------------------------------------------------- */
+#define NUMSTUDENTS 20
+#define NUMSUBJECTS 4
+
+/* ------------------------------------------------------------------
+* Global variables
+*------------------------------------------------------------------- */
+
+ uint32_t numStudents = 20;
+ uint32_t numSubjects = 4;
+float32_t max_marks, min_marks, mean, std, var;
+ uint32_t student_num;
+
+/* ----------------------------------------------------------------------------------
+* Main f32 test function. It returns maximum marks secured and student number
+* ------------------------------------------------------------------------------- */
+
+int32_t main()
+{
+
+#ifndef USE_STATIC_INIT
+
+ arm_matrix_instance_f32 srcA;
+ arm_matrix_instance_f32 srcB;
+ arm_matrix_instance_f32 dstC;
+
+ /* Input and output matrices initializations */
+ arm_mat_init_f32(&srcA, numStudents, numSubjects, (float32_t *)testMarks_f32);
+ arm_mat_init_f32(&srcB, numSubjects, 1, (float32_t *)testUnity_f32);
+ arm_mat_init_f32(&dstC, numStudents, 1, testOutput);
+
+#else
+
+ /* Static Initializations of Input and output matrix sizes and array */
+ arm_matrix_instance_f32 srcA = {NUMSTUDENTS, NUMSUBJECTS, (float32_t *)testMarks_f32};
+ arm_matrix_instance_f32 srcB = {NUMSUBJECTS, 1, (float32_t *)testUnity_f32};
+ arm_matrix_instance_f32 dstC = {NUMSTUDENTS, 1, testOutput};
+
+#endif
+
+
+ /* ----------------------------------------------------------------------
+ *Call the Matrix multiplication process function
+ * ------------------------------------------------------------------- */
+ arm_mat_mult_f32(&srcA, &srcB, &dstC);
+
+ /* ----------------------------------------------------------------------
+ ** Call the Max function to calculate max marks among numStudents
+ ** ------------------------------------------------------------------- */
+ arm_max_f32(testOutput, numStudents, &max_marks, &student_num);
+
+ /* ----------------------------------------------------------------------
+ ** Call the Min function to calculate min marks among numStudents
+ ** ------------------------------------------------------------------- */
+ arm_min_f32(testOutput, numStudents, &min_marks, &student_num);
+
+ /* ----------------------------------------------------------------------
+ ** Call the Mean function to calculate mean
+ ** ------------------------------------------------------------------- */
+ arm_mean_f32(testOutput, numStudents, &mean);
+
+ /* ----------------------------------------------------------------------
+ ** Call the std function to calculate standard deviation
+ ** ------------------------------------------------------------------- */
+ arm_std_f32(testOutput, numStudents, &std);
+
+ /* ----------------------------------------------------------------------
+ ** Call the var function to calculate variance
+ ** ------------------------------------------------------------------- */
+ arm_var_f32(testOutput, numStudents, &var);
+
+ while (1); /* main function does not return */
+}
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/arm_convolution_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/arm_convolution_example_f32.c
new file mode 100644
index 0000000..e4665fe
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/arm_convolution_example_f32.c
@@ -0,0 +1,247 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_convolution_example_f32.c
+*
+* Description: Example code demonstrating Convolution of two input signals using fft.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ConvolutionExample Convolution Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the convolution theorem with the use of the Complex FFT, Complex-by-Complex
+ * Multiplication, and Support Functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The convolution theorem states that convolution in the time domain corresponds to
+ * multiplication in the frequency domain. Therefore, the Fourier transform of the convoution of
+ * two signals is equal to the product of their individual Fourier transforms.
+ * The Fourier transform of a signal can be evaluated efficiently using the Fast Fourier Transform (FFT).
+ * \par
+ * Two input signals, <code>a[n]</code> and <code>b[n]</code>, with lengths \c n1 and \c n2 respectively,
+ * are zero padded so that their lengths become \c N, which is greater than or equal to <code>(n1+n2-1)</code>
+ * and is a power of 4 as FFT implementation is radix-4.
+ * The convolution of <code>a[n]</code> and <code>b[n]</code> is obtained by taking the FFT of the input
+ * signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of
+ * the multiplied result.
+ * \par
+ * This is denoted by the following equations:
+ * <pre> A[k] = FFT(a[n],N)
+ * B[k] = FFT(b[n],N)
+ * conv(a[n], b[n]) = IFFT(A[k] * B[k], N)</pre>
+ * where <code>A[k]</code> and <code>B[k]</code> are the N-point FFTs of the signals <code>a[n]</code>
+ * and <code>b[n]</code> respectively.
+ * The length of the convolved signal is <code>(n1+n2-1)</code>.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Convolution.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputA_f32 points to the first input sequence
+ * \li \c srcALen length of the first input sequence
+ * \li \c testInputB_f32 points to the second input sequence
+ * \li \c srcBLen length of the second input sequence
+ * \li \c outLen length of convolution output sequence, <code>(srcALen + srcBLen - 1)</code>
+ * \li \c AxB points to the output array where the product of individual FFTs of inputs is stored.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ * - arm_cfft_radix4_init_f32()
+ * - arm_cfft_radix4_f32()
+ * - arm_cmplx_mult_cmplx_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_convolution_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_convolution_example_f32.c
+ */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE 128
+#define DELTA (0.000001f)
+#define SNR_THRESHOLD 90
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+float32_t Ak[MAX_BLOCKSIZE]; /* Input A */
+float32_t Bk[MAX_BLOCKSIZE]; /* Input B */
+float32_t AxB[MAX_BLOCKSIZE * 2]; /* Output */
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Convolution example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+float32_t testInputA_f32[64] =
+{
+ -0.808920, 1.357369, 1.180861, -0.504544, 1.762637, -0.703285,
+ 1.696966, 0.620571, -0.151093, -0.100235, -0.872382, -0.403579,
+ -0.860749, -0.382648, -1.052338, 0.128113, -0.646269, 1.093377,
+ -2.209198, 0.471706, 0.408901, 1.266242, 0.598252, 1.176827,
+ -0.203421, 0.213596, -0.851964, -0.466958, 0.021841, -0.698938,
+ -0.604107, 0.461778, -0.318219, 0.942520, 0.577585, 0.417619,
+ 0.614665, 0.563679, -1.295073, -0.764437, 0.952194, -0.859222,
+ -0.618554, -2.268542, -1.210592, 1.655853, -2.627219, -0.994249,
+ -1.374704, 0.343799, 0.025619, 1.227481, -0.708031, 0.069355,
+ -1.845228, -1.570886, 1.010668, -1.802084, 1.630088, 1.286090,
+ -0.161050, -0.940794, 0.367961, 0.291907
+
+};
+
+float32_t testInputB_f32[64] =
+{
+ 0.933724, 0.046881, 1.316470, 0.438345, 0.332682, 2.094885,
+ 0.512081, 0.035546, 0.050894, -2.320371, 0.168711, -1.830493,
+ -0.444834, -1.003242, -0.531494, -1.365600, -0.155420, -0.757692,
+ -0.431880, -0.380021, 0.096243, -0.695835, 0.558850, -1.648962,
+ 0.020369, -0.363630, 0.887146, 0.845503, -0.252864, -0.330397,
+ 1.269131, -1.109295, -1.027876, 0.135940, 0.116721, -0.293399,
+ -1.349799, 0.166078, -0.802201, 0.369367, -0.964568, -2.266011,
+ 0.465178, 0.651222, -0.325426, 0.320245, -0.784178, -0.579456,
+ 0.093374, 0.604778, -0.048225, 0.376297, -0.394412, 0.578182,
+ -1.218141, -1.387326, 0.692462, -0.631297, 0.153137, -0.638952,
+ 0.635474, -0.970468, 1.334057, -0.111370
+};
+
+const float testRefOutput_f32[127] =
+{
+ -0.818943, 1.229484, -0.533664, 1.016604, 0.341875, -1.963656,
+ 5.171476, 3.478033, 7.616361, 6.648384, 0.479069, 1.792012,
+ -1.295591, -7.447818, 0.315830, -10.657445, -2.483469, -6.524236,
+ -7.380591, -3.739005, -8.388957, 0.184147, -1.554888, 3.786508,
+ -1.684421, 5.400610, -1.578126, 7.403361, 8.315999, 2.080267,
+ 11.077776, 2.749673, 7.138962, 2.748762, 0.660363, 0.981552,
+ 1.442275, 0.552721, -2.576892, 4.703989, 0.989156, 8.759344,
+ -0.564825, -3.994680, 0.954710, -5.014144, 6.592329, 1.599488,
+ -13.979146, -0.391891, -4.453369, -2.311242, -2.948764, 1.761415,
+ -0.138322, 10.433007, -2.309103, 4.297153, 8.535523, 3.209462,
+ 8.695819, 5.569919, 2.514304, 5.582029, 2.060199, 0.642280,
+ 7.024616, 1.686615, -6.481756, 1.343084, -3.526451, 1.099073,
+ -2.965764, -0.173723, -4.111484, 6.528384, -6.965658, 1.726291,
+ 1.535172, 11.023435, 2.338401, -4.690188, 1.298210, 3.943885,
+ 8.407885, 5.168365, 0.684131, 1.559181, 1.859998, 2.852417,
+ 8.574070, -6.369078, 6.023458, 11.837963, -6.027632, 4.469678,
+ -6.799093, -2.674048, 6.250367, -6.809971, -3.459360, 9.112410,
+ -2.711621, -1.336678, 1.564249, -1.564297, -1.296760, 8.904013,
+ -3.230109, 6.878013, -7.819823, 3.369909, -1.657410, -2.007358,
+ -4.112825, 1.370685, -3.420525, -6.276605, 3.244873, -3.352638,
+ 1.545372, 0.902211, 0.197489, -1.408732, 0.523390, 0.348440, 0
+};
+
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t srcALen = 64; /* Length of Input A */
+uint32_t srcBLen = 64; /* Length of Input B */
+uint32_t outLen; /* Length of convolution output */
+float32_t snr; /* output SNR */
+
+int32_t main(void)
+{
+ arm_status status; /* Status of the example */
+ arm_cfft_radix4_instance_f32 cfft_instance; /* CFFT Structure instance */
+
+ /* CFFT Structure instance pointer */
+ arm_cfft_radix4_instance_f32 *cfft_instance_ptr =
+ (arm_cfft_radix4_instance_f32*) &cfft_instance;
+
+ /* output length of convolution */
+ outLen = srcALen + srcBLen - 1;
+
+ /* Initialise the fft input buffers with all zeros */
+ arm_fill_f32(0.0, Ak, MAX_BLOCKSIZE);
+ arm_fill_f32(0.0, Bk, MAX_BLOCKSIZE);
+
+ /* Copy the input values to the fft input buffers */
+ arm_copy_f32(testInputA_f32, Ak, MAX_BLOCKSIZE/2);
+ arm_copy_f32(testInputB_f32, Bk, MAX_BLOCKSIZE/2);
+
+ /* Initialize the CFFT function to compute 64 point fft */
+ status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 0, 1);
+
+ /* Transform input a[n] from time domain to frequency domain A[k] */
+ arm_cfft_radix4_f32(cfft_instance_ptr, Ak);
+ /* Transform input b[n] from time domain to frequency domain B[k] */
+ arm_cfft_radix4_f32(cfft_instance_ptr, Bk);
+
+ /* Complex Multiplication of the two input buffers in frequency domain */
+ arm_cmplx_mult_cmplx_f32(Ak, Bk, AxB, MAX_BLOCKSIZE/2);
+
+ /* Initialize the CIFFT function to compute 64 point ifft */
+ status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 1, 1);
+
+ /* Transform the multiplication output from frequency domain to time domain,
+ that gives the convolved output */
+ arm_cfft_radix4_f32(cfft_instance_ptr, AxB);
+
+ /* SNR Calculation */
+ snr = arm_snr_f32((float32_t *)testRefOutput_f32, AxB, srcALen + srcBLen - 1);
+
+ /* Compare the SNR with threshold to test whether the
+ computed output is matched with the reference output values. */
+ if ( snr > SNR_THRESHOLD)
+ {
+ status = ARM_MATH_SUCCESS;
+ }
+
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0 b
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.c
+*
+* Description: Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+* Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+* Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief Caluclation of SNR
+ * @param[in] pRef Pointer to the reference buffer
+ * @param[in] pTest Pointer to the test buffer
+ * @param[in] buffSize total number of samples
+ * @return SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+ float EnergySignal = 0.0, EnergyError = 0.0;
+ uint32_t i;
+ float SNR;
+ int temp;
+ int *test;
+
+ for (i = 0; i < buffSize; i++)
+ {
+ /* Checking for a NAN value in pRef array */
+ test = (int *)(&pRef[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+ /* Checking for a NAN value in pTest array */
+ test = (int *)(&pTest[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+ EnergySignal += pRef[i] * pRef[i];
+ EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+ }
+
+ /* Checking for a NAN value in EnergyError */
+ test = (int *)(&EnergyError);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+
+ SNR = 10 * log10 (EnergySignal / EnergyError);
+
+ return (SNR);
+
+}
+
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Converts float to fixed in q12.20 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to outputbuffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1048576.0f corresponds to pow(2, 20) */
+ pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 1.0)
+ {
+ pOut[i] = 0x000FFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+
+
+/**
+ * @brief Caluclates number of guard bits
+ * @param[in] num_adds number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+ uint32_t i = 1, j = 0;
+
+ if (num_adds == 1)
+ {
+ return (0);
+ }
+
+ while (i < num_adds)
+ {
+ i = i * 2;
+ j++;
+ }
+
+ return (j);
+}
+
+/**
+ * @brief Apply guard bits to buffer
+ * @param[in,out] pIn pointer to input buffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @param[in] guard_bits guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+ uint32_t numSamples,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+ }
+}
+
+/**
+ * @brief Calculates pow(2, numShifts)
+ * @param[in] numShifts number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+ uint32_t i, val = 1;
+
+ for (i = 0; i < numShifts; i++)
+ {
+ val = val * 2;
+ }
+
+ return(val);
+}
+
+
+
+/**
+ * @brief Converts float to fixed q14
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 16384.0f corresponds to pow(2, 14) */
+ pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFF;
+ }
+
+ }
+
+}
+
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 4.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+
+/**
+ * @brief Converts float to fixed q28 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 268435456.0f corresponds to pow(2, 28) */
+ pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 8.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Clip the float values to +/- 1
+ * @param[in,out] pIn input buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ if (pIn[i] > 1.0f)
+ {
+ pIn[i] = 1.0;
+ }
+ else if ( pIn[i] < -1.0f)
+ {
+ pIn[i] = -1.0;
+ }
+
+ }
+}
+
+
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.h b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.h
+*
+* Description: Prototypes of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize);
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/arm_dotproduct_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/arm_dotproduct_example_f32.c
new file mode 100644
index 0000000..5a05071
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/arm_dotproduct_example_f32.c
@@ -0,0 +1,178 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_dotproduct_example_f32.c
+*
+* Description: Example code computing dot product of two vectors.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup DotproductExample Dot Product Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of the Multiply and Add functions to perform the dot product.
+ * The dot product of two vectors is obtained by multiplying corresponding elements
+ * and summing the products.
+
+ * \par Algorithm:
+ * \par
+ * The two input vectors \c A and \c B with length \c n, are multiplied element-by-element
+ * and then added to obtain dot product.
+ * \par
+ * This is denoted by the following equation:
+ * <pre> dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]</pre>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html dotProduct.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c srcA_buf_f32 points to first input vector
+ * \li \c srcB_buf_f32 points to second input vector
+ * \li \c testOutput stores dot product of the two input vectors.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mult_f32()
+ * - arm_add_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_dotproduct_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_dotproduct_example_f32.c
+ */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE 32
+#define DELTA (0.000001f)
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Dot Product example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+/* ----------------------------------------------------------------------
+** Test input data of srcA for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcA_buf_f32[MAX_BLOCKSIZE] =
+{
+ -0.4325648115282207, -1.6655843782380970, 0.1253323064748307,
+ 0.2876764203585489, -1.1464713506814637, 1.1909154656429988,
+ 1.1891642016521031, -0.0376332765933176, 0.3272923614086541,
+ 0.1746391428209245, -0.1867085776814394, 0.7257905482933027,
+ -0.5883165430141887, 2.1831858181971011, -0.1363958830865957,
+ 0.1139313135208096, 1.0667682113591888, 0.0592814605236053,
+ -0.0956484054836690, -0.8323494636500225, 0.2944108163926404,
+ -1.3361818579378040, 0.7143245518189522, 1.6235620644462707,
+ -0.6917757017022868, 0.8579966728282626, 1.2540014216025324,
+ -1.5937295764474768, -1.4409644319010200, 0.5711476236581780,
+ -0.3998855777153632, 0.6899973754643451
+};
+
+/* ----------------------------------------------------------------------
+** Test input data of srcB for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcB_buf_f32[MAX_BLOCKSIZE] =
+{
+ 1.7491401329284098, 0.1325982188803279, 0.3252281811989881,
+ -0.7938091410349637, 0.3149236145048914, -0.5272704888029532,
+ 0.9322666565031119, 1.1646643544607362, -2.0456694357357357,
+ -0.6443728590041911, 1.7410657940825480, 0.4867684246821860,
+ 1.0488288293660140, 1.4885752747099299, 1.2705014969484090,
+ -1.8561241921210170, 2.1343209047321410, 1.4358467535865909,
+ -0.9173023332875400, -1.1060770780029008, 0.8105708062681296,
+ 0.6985430696369063, -0.4015827425012831, 1.2687512030669628,
+ -0.7836083053674872, 0.2132664971465569, 0.7878984786088954,
+ 0.8966819356782295, -0.1869172943544062, 1.0131816724341454,
+ 0.2484350696132857, 0.0596083377937976
+};
+
+/* Reference dot product output */
+float32_t refDotProdOut = 5.9273644806352142;
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+float32_t multOutput[MAX_BLOCKSIZE]; /* Intermediate output */
+float32_t testOutput; /* Final ouput */
+
+arm_status status; /* Status of the example */
+
+int32_t main(void)
+{
+ uint32_t i; /* Loop counter */
+ float32_t diff; /* Difference between reference and test outputs */
+
+ /* Multiplication of two input buffers */
+ arm_mult_f32(srcA_buf_f32, srcB_buf_f32, multOutput, MAX_BLOCKSIZE);
+
+ /* Accumulate the multiplication output values to
+ get the dot product of the two inputs */
+ for(i=0; i< MAX_BLOCKSIZE; i++)
+ {
+ arm_add_f32(&testOutput, &multOutput[i], &testOutput, 1);
+ }
+
+ /* absolute value of difference between ref and test */
+ diff = fabsf(refDotProdOut - testOutput);
+
+ /* Comparison of dot product value with reference */
+ if (diff > DELTA)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+ if ( status == ARM_MATH_TEST_FAILURE)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_data.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_data.c
new file mode 100644
index 0000000..10f3e12
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_data.c
@@ -0,0 +1,308 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_fft_bin_data.c
+*
+* Description: Data file used for example code
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+Test Input signal contains 10KHz signal + Uniformly distributed white noise
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32_10khz[2048] =
+{
+-0.865129623056441, 0.000000000000000, -2.655020678073846, 0.000000000000000, 0.600664612949661, 0.000000000000000, 0.080378093886515, 0.000000000000000,
+-2.899160484012034, 0.000000000000000, 2.563004262857762, 0.000000000000000, 3.078328403304206, 0.000000000000000, 0.105906778385130, 0.000000000000000,
+0.048366940168201, 0.000000000000000, -0.145696461188734, 0.000000000000000, -0.023417155362879, 0.000000000000000, 2.127729174988954, 0.000000000000000,
+-1.176633086028377, 0.000000000000000, 3.690223557991855, 0.000000000000000, -0.622791766173194, 0.000000000000000, 0.722837373872203, 0.000000000000000,
+2.739754205367484, 0.000000000000000, -0.062610410524552, 0.000000000000000, -0.891296810967338, 0.000000000000000, -1.845872258871811, 0.000000000000000,
+1.195039415434387, 0.000000000000000, -2.177388969045026, 0.000000000000000, 1.078649103637905, 0.000000000000000, 2.570976050490193, 0.000000000000000,
+-1.383551403404574, 0.000000000000000, 2.392141424058873, 0.000000000000000, 2.858002843205065, 0.000000000000000, -3.682433899725536, 0.000000000000000,
+-3.488146646451150, 0.000000000000000, 1.323468578888120, 0.000000000000000, -0.099771155430726, 0.000000000000000, 1.561168082500454, 0.000000000000000,
+1.025026795103179, 0.000000000000000, 0.928841900171200, 0.000000000000000, 2.930499509864950, 0.000000000000000, 2.013349089766430, 0.000000000000000,
+2.381676148486737, 0.000000000000000, -3.081062307950236, 0.000000000000000, -0.389579115537544, 0.000000000000000, 0.181540149166620, 0.000000000000000,
+-2.601953341353208, 0.000000000000000, 0.333435137783218, 0.000000000000000, -2.812945856162965, 0.000000000000000, 2.649109640172910, 0.000000000000000,
+-1.003963025744654, 0.000000000000000, 1.552460768755035, 0.000000000000000, 0.088641345335247, 0.000000000000000, -2.519951327113426, 0.000000000000000,
+-4.341348988610527, 0.000000000000000, 0.557772429359965, 0.000000000000000, -1.671267412948494, 0.000000000000000, 0.733951350960387, 0.000000000000000,
+0.409263788034864, 0.000000000000000, 3.566033071952806, 0.000000000000000, 1.882565173848352, 0.000000000000000, -1.106017073793287, 0.000000000000000,
+0.154456720778718, 0.000000000000000, -2.513205795512153, 0.000000000000000, 0.310978660939421, 0.000000000000000, 0.579706500111723, 0.000000000000000,
+0.000086383683251, 0.000000000000000, -1.311866980897721, 0.000000000000000, 1.840007477574986, 0.000000000000000, -3.253005768451345, 0.000000000000000,
+1.462584328739432, 0.000000000000000, 1.610103610851738, 0.000000000000000, 0.761914676858907, 0.000000000000000, 0.974541361089834, 0.000000000000000,
+0.686845845885983, 0.000000000000000, 1.849153122025191, 0.000000000000000, 0.787800410401453, 0.000000000000000, -1.187438909666279, 0.000000000000000,
+-0.754937911044720, 0.000000000000000, 0.084373858395232, 0.000000000000000, -2.600269011710521, 0.000000000000000, -0.962982842142644, 0.000000000000000,
+-0.369328108540868, 0.000000000000000, 0.810791418361879, 0.000000000000000, 3.587016488699641, 0.000000000000000, -0.520776145083723, 0.000000000000000,
+0.640249919627884, 0.000000000000000, 1.103122489464969, 0.000000000000000, 2.231779881455556, 0.000000000000000, -1.308035392685241, 0.000000000000000,
+0.424070304330106, 0.000000000000000, -0.200383932651189, 0.000000000000000, -2.365526783356541, 0.000000000000000, -0.989114757436628, 0.000000000000000,
+2.770807688959777, 0.000000000000000, -0.444172737462307, 0.000000000000000, 0.079760979374078, 0.000000000000000, -0.005199118412183, 0.000000000000000,
+-0.664712668309527, 0.000000000000000, -0.624171857561896, 0.000000000000000, 0.537306979007338, 0.000000000000000, -2.575955675497642, 0.000000000000000,
+1.562363235756780, 0.000000000000000, 1.814069369848895, 0.000000000000000, -1.293428583392509, 0.000000000000000, -1.026188449495686, 0.000000000000000,
+-2.981771815588717, 0.000000000000000, -4.223468103075124, 0.000000000000000, 2.672674782004045, 0.000000000000000, -0.856096801117735, 0.000000000000000,
+0.048517345512563, 0.000000000000000, -0.026860721136222, 0.000000000000000, 0.392932277758187, 0.000000000000000, -1.331740855093099, 0.000000000000000,
+-1.894292129477081, 0.000000000000000, -1.425006468460681, 0.000000000000000, -2.721772427617057, 0.000000000000000, -1.616831100216806, 0.000000000000000,
+3.551177651488947, 0.000000000000000, -0.069685667896087, 0.000000000000000, -3.134634907409102, 0.000000000000000, -0.263627598944639, 0.000000000000000,
+-1.650469945991350, 0.000000000000000, -2.203580339374399, 0.000000000000000, -0.872203246123242, 0.000000000000000, 1.230782812607287, 0.000000000000000,
+0.257288860093291, 0.000000000000000, 1.989083106173137, 0.000000000000000, -1.985638729453261, 0.000000000000000, -1.416185105842892, 0.000000000000000,
+-1.131097688325772, 0.000000000000000, -2.245130805416057, 0.000000000000000, -1.938873996219074, 0.000000000000000, 2.043608361562645, 0.000000000000000,
+-0.583727989880841, 0.000000000000000, -1.785266378212929, 0.000000000000000, 1.961457586224753, 0.000000000000000, 1.139400099963223, 0.000000000000000,
+-1.979519343363991, 0.000000000000000, 2.003023322818429, 0.000000000000000, 0.229004069076829, 0.000000000000000, 3.452808862193135, 0.000000000000000,
+2.882273808365857, 0.000000000000000, -1.549450501844438, 0.000000000000000, -3.283872089931876, 0.000000000000000, -0.327025884099064, 0.000000000000000,
+-0.054979977136430, 0.000000000000000, -1.192280531479012, 0.000000000000000, 0.645539328365578, 0.000000000000000, 2.300832863404618, 0.000000000000000,
+-1.092951789535240, 0.000000000000000, -1.017368249363773, 0.000000000000000, -0.142673056169787, 0.000000000000000, 0.831073544881250, 0.000000000000000,
+-2.314612531587064, 0.000000000000000, -2.221456299106321, 0.000000000000000, 0.460261143885226, 0.000000000000000, 0.050585301888595, 0.000000000000000,
+0.364373329183988, 0.000000000000000, -1.685956552069538, 0.000000000000000, 0.050664512351055, 0.000000000000000, -0.193355783902718, 0.000000000000000,
+-0.158660446046828, 0.000000000000000, 2.394156453841953, 0.000000000000000, -1.562965718554525, 0.000000000000000, -2.199750600869900, 0.000000000000000,
+1.544984022381773, 0.000000000000000, -1.988307216807315, 0.000000000000000, -0.628240722541046, 0.000000000000000, -1.436235771505429, 0.000000000000000,
+1.677013691147313, 0.000000000000000, 1.600741781678228, 0.000000000000000, -0.757380959134706, 0.000000000000000, -4.784797439515566, 0.000000000000000,
+0.265121462834569, 0.000000000000000, 3.862029485934378, 0.000000000000000, 2.386823577249430, 0.000000000000000, -3.655779745436893, 0.000000000000000,
+-0.763541621368016, 0.000000000000000, -1.182140388432962, 0.000000000000000, -1.349106114858063, 0.000000000000000, -2.287533624396759, 0.000000000000000,
+-0.028603745188423, 0.000000000000000, -1.353580755934427, 0.000000000000000, 0.461602380352937, 0.000000000000000, -0.059599055078928, 0.000000000000000,
+-0.929946734342228, 0.000000000000000, 0.065773089295561, 0.000000000000000, 1.106565863102982, 0.000000000000000, 4.719295086373593, 0.000000000000000,
+-2.108377703544395, 0.000000000000000, -2.226393620240159, 0.000000000000000, 1.375668397437521, 0.000000000000000, -0.960772428525443, 0.000000000000000,
+-2.156313465390571, 0.000000000000000, 1.126060012375311, 0.000000000000000, 2.756485137030720, 0.000000000000000, 0.739639690862600, 0.000000000000000,
+3.914769510295006, 0.000000000000000, 1.685232785586675, 0.000000000000000, 4.079058040970612, 0.000000000000000, -1.174598301660513, 0.000000000000000,
+-2.885776587275580, 0.000000000000000, -0.241073635188767, 0.000000000000000, 3.080489872502403, 0.000000000000000, -2.051244183999421, 0.000000000000000,
+0.664330486845139, 0.000000000000000, -1.697798999370016, 0.000000000000000, 1.452369423649782, 0.000000000000000, -1.523532831019280, 0.000000000000000,
+0.171981186587481, 0.000000000000000, -4.685274721583927, 0.000000000000000, -1.336175835319380, 0.000000000000000, 1.419070770428945, 0.000000000000000,
+-0.035791601713475, 0.000000000000000, 2.291937971632081, 0.000000000000000, -1.962559313450293, 0.000000000000000, -4.831595589339301, 0.000000000000000,
+-1.857055284000925, 0.000000000000000, 2.606271522635512, 0.000000000000000, -0.576447978738030, 0.000000000000000, 0.082299166967720, 0.000000000000000,
+1.888399453494614, 0.000000000000000, -3.564705298046079, 0.000000000000000, -0.939357831083889, 0.000000000000000, -1.903578203697778, 0.000000000000000,
+-2.642492215447250, 0.000000000000000, -0.182990405251017, 0.000000000000000, 3.742026478011174, 0.000000000000000, 0.104295803798333, 0.000000000000000,
+1.848678195370347, 0.000000000000000, -1.887384346896369, 0.000000000000000, 0.365048973046045, 0.000000000000000, -0.889638010354219, 0.000000000000000,
+1.173877118428863, 0.000000000000000, -1.178562827540109, 0.000000000000000, 0.610271645685184, 0.000000000000000, 1.831284815697871, 0.000000000000000,
+0.449575390102283, 0.000000000000000, 1.597171905253443, 0.000000000000000, 3.918574971904773, 0.000000000000000, 0.868104027970404, 0.000000000000000,
+0.582643134746494, 0.000000000000000, 2.321256382353331, 0.000000000000000, -0.238118642223180, 0.000000000000000, -2.890287868054370, 0.000000000000000,
+0.970995414625622, 0.000000000000000, 0.666137930891283, 0.000000000000000, -0.202435718709502, 0.000000000000000, 2.057930200518194, 0.000000000000000,
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+0.523324920322840, 0.000000000000000, 1.750740911548348, 0.000000000000000, -0.899333972913577, 0.000000000000000, 0.228705845203506, 0.000000000000000,
+-1.934782624767648, 0.000000000000000, -3.508386237231303, 0.000000000000000, -2.107108523073510, 0.000000000000000, 0.380587645474815, 0.000000000000000,
+-0.476200877183279, 0.000000000000000, -2.172086712642198, 0.000000000000000, 1.795372535780299, 0.000000000000000, -2.100318983391055, 0.000000000000000,
+-0.022571122461405, 0.000000000000000, 0.674514020010955, 0.000000000000000, -0.148872569390857, 0.000000000000000, 0.298175890592737, 0.000000000000000,
+-1.134244492493590, 0.000000000000000, -3.146848422289455, 0.000000000000000, -1.357950199087602, 0.000000000000000, 0.667362732020878, 0.000000000000000,
+-3.119397998316724, 0.000000000000000, -1.189341126297637, 0.000000000000000, -1.532744386856668, 0.000000000000000, -1.672972484202534, 0.000000000000000,
+-2.042283373871558, 0.000000000000000, -1.479481547595924, 0.000000000000000, -0.002668662875396, 0.000000000000000, 0.262737760129546, 0.000000000000000,
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+0.748963512361001, 0.000000000000000, 1.128046374367600, 0.000000000000000, 0.649651335592966, 0.000000000000000, 1.880020215025867, 0.000000000000000,
+-1.095632293842306, 0.000000000000000, 1.197764876160487, 0.000000000000000, 0.323646656252985, 0.000000000000000, -1.655502751114502, 0.000000000000000,
+3.666399062961496, 0.000000000000000, -0.334060899735197, 0.000000000000000, -2.119056978738397, 0.000000000000000, 3.721375117275012, 0.000000000000000,
+0.044874186872307, 0.000000000000000, -2.733053897593234, 0.000000000000000, 1.590700278891042, 0.000000000000000, 3.215711772781902, 0.000000000000000,
+-1.792085012843801, 0.000000000000000, -0.405797188885475, 0.000000000000000, -0.628080020080892, 0.000000000000000, -1.831815840843960, 0.000000000000000,
+2.973656862522834, 0.000000000000000, -0.212032655138417, 0.000000000000000, 0.372437389437234, 0.000000000000000, -1.614030579023492, 0.000000000000000,
+-0.704900996358698, 0.000000000000000, 1.123700273452105, 0.000000000000000, -0.136371848130819, 0.000000000000000, 3.020284357635585, 0.000000000000000,
+-0.550211350877649, 0.000000000000000, 5.101256236381711, 0.000000000000000, 3.367051512192333, 0.000000000000000, -4.385131946669234, 0.000000000000000,
+-3.967303337694391, 0.000000000000000, -0.965894936640022, 0.000000000000000, 0.328366945264681, 0.000000000000000, 0.199041562924914, 0.000000000000000,
+1.067681999025495, 0.000000000000000, -1.939516091697170, 0.000000000000000, -1.092980954328824, 0.000000000000000, 0.273786079368066, 0.000000000000000,
+-0.040928322190265, 0.000000000000000, -0.118368078577437, 0.000000000000000, 1.766589628899997, 0.000000000000000, 1.738321311635393, 0.000000000000000,
+-2.895012794321649, 0.000000000000000, 1.213521771395142, 0.000000000000000, 0.922971726633985, 0.000000000000000, 1.091516563636489, 0.000000000000000,
+3.226378465469620, 0.000000000000000, 1.149169778666974, 0.000000000000000, -1.695986327709386, 0.000000000000000, -0.974803077355813, 0.000000000000000,
+-4.898035507513607, 0.000000000000000, 1.622719302889447, 0.000000000000000, 0.583891313586579, 0.000000000000000, -1.677182424094957, 0.000000000000000,
+-1.915633132814685, 0.000000000000000, -1.980150370851616, 0.000000000000000, 0.604538269404190, 0.000000000000000, 0.939862406149365, 0.000000000000000,
+-1.266939874246416, 0.000000000000000, -1.494771249200063, 0.000000000000000, 0.278042784093988, 0.000000000000000, 0.326627416008916, 0.000000000000000,
+-1.914530157643303, 0.000000000000000, 1.908947721862196, 0.000000000000000, 0.531819285694044, 0.000000000000000, 3.056856632319658, 0.000000000000000,
+-0.389241827774643, 0.000000000000000, -2.418606606780420, 0.000000000000000, 0.915299238878703, 0.000000000000000, -0.098774174295283, 0.000000000000000,
+-0.906199428444304, 0.000000000000000, 0.316716451217743, 0.000000000000000, -4.367700643578311, 0.000000000000000, 1.491687997515293, 0.000000000000000,
+-1.962381126288365, 0.000000000000000, -0.700829196527045, 0.000000000000000, 3.028958963615630, 0.000000000000000, -2.313461067462598, 0.000000000000000,
+-1.431933239886712, 0.000000000000000, -0.831153039725342, 0.000000000000000, 3.939495598250743, 0.000000000000000, 0.342974753984771, 0.000000000000000,
+-2.768330763002974, 0.000000000000000, -2.744010370019008, 0.000000000000000, 3.821352685212561, 0.000000000000000, 4.551065271455856, 0.000000000000000,
+3.270136437041298, 0.000000000000000, -3.188028411950982, 0.000000000000000, -0.777075012417436, 0.000000000000000, 0.097110650265216, 0.000000000000000,
+1.221216137608812, 0.000000000000000, -1.325824244541822, 0.000000000000000, -2.655296734084113, 0.000000000000000, -1.074792144885704, 0.000000000000000,
+2.770401584439407, 0.000000000000000, 5.240270645610543, 0.000000000000000, 0.108576672208892, 0.000000000000000, -1.209394350650142, 0.000000000000000,
+1.403344353838785, 0.000000000000000, -0.299032904177277, 0.000000000000000, 4.074959450638227, 0.000000000000000, 1.718727473952107, 0.000000000000000,
+-3.061349227080806, 0.000000000000000, -1.158596888541269, 0.000000000000000, 3.381858904662625, 0.000000000000000, 0.957339964054052, 0.000000000000000,
+0.179900074904899, 0.000000000000000, -3.909641902506081, 0.000000000000000, 0.805717289408649, 0.000000000000000, 2.047413793928261, 0.000000000000000,
+-1.273580225826614, 0.000000000000000, -2.681359186869971, 0.000000000000000, -0.721241345822093, 0.000000000000000, -1.613090681569475, 0.000000000000000,
+0.463138804815955, 0.000000000000000, 0.377223507800954, 0.000000000000000, 2.046550684968141, 0.000000000000000, 0.178508732797712, 0.000000000000000,
+-0.477815330358845, 0.000000000000000, 3.763355908332053, 0.000000000000000, 1.300430303035163, 0.000000000000000, -0.214625793857725, 0.000000000000000,
+1.343267891864081, 0.000000000000000, -0.340007682433245, 0.000000000000000, 2.062703194680005, 0.000000000000000, 0.042032160234235, 0.000000000000000,
+0.643732569732250, 0.000000000000000, -1.913502543857589, 0.000000000000000, 3.771340762937158, 0.000000000000000, 1.050024807363386, 0.000000000000000,
+-4.440489488592649, 0.000000000000000, 0.444904302066643, 0.000000000000000, 2.898702265650048, 0.000000000000000, 1.953232980548558, 0.000000000000000,
+2.761564952735079, 0.000000000000000, 1.963537633260397, 0.000000000000000, -2.168858472916215, 0.000000000000000, -4.116235357699841, 0.000000000000000,
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+3.461021102549681, 0.000000000000000, 1.642352734361484, 0.000000000000000, -0.046354693720813, 0.000000000000000, -0.041936252359677, 0.000000000000000,
+-2.393307519480551, 0.000000000000000, -0.341471634615121, 0.000000000000000, -0.392073595257017, 0.000000000000000, -0.219299018372730, 0.000000000000000,
+-2.016391579662071, 0.000000000000000, -0.653096251969787, 0.000000000000000, 1.466353155666821, 0.000000000000000, -2.872058864320412, 0.000000000000000,
+-2.157180779503830, 0.000000000000000, 0.723257479841560, 0.000000000000000, 3.769951308104384, 0.000000000000000, -1.923392042420024, 0.000000000000000,
+0.644899359942840, 0.000000000000000, -2.090226891621437, 0.000000000000000, -0.277043982890403, 0.000000000000000, -0.528271428321112, 0.000000000000000,
+2.518120645960652, 0.000000000000000, 1.040820431111488, 0.000000000000000, -4.560583754742486, 0.000000000000000, -0.226899614918836, 0.000000000000000,
+1.713331231108959, 0.000000000000000, -3.293941019163642, 0.000000000000000, -1.113331444648290, 0.000000000000000, -1.032308423149906, 0.000000000000000,
+1.593774272982443, 0.000000000000000, -1.246840475090529, 0.000000000000000, -0.190344684920137, 0.000000000000000, -1.719386356896355, 0.000000000000000,
+-2.827721754659679, 0.000000000000000, -0.092438285279020, 0.000000000000000, -0.565844430675246, 0.000000000000000, -1.077916121691716, 0.000000000000000,
+-1.208665809504693, 0.000000000000000, -2.996014266381254, 0.000000000000000, 2.888573323402423, 0.000000000000000, 2.829507048720695, 0.000000000000000,
+-0.859177034120755, 0.000000000000000, -1.969302377743254, 0.000000000000000, 0.777437674525362, 0.000000000000000, -0.124910190157646, 0.000000000000000,
+0.129875493115290, 0.000000000000000, -4.192139262163992, 0.000000000000000, 3.023496047962126, 0.000000000000000, 1.149775163736637, 0.000000000000000,
+2.038151304801731, 0.000000000000000, 3.016122489841263, 0.000000000000000, -4.829481812137012, 0.000000000000000, -1.668436615909279, 0.000000000000000,
+0.958586784636918, 0.000000000000000, 1.550652410058678, 0.000000000000000, -1.456305257976716, 0.000000000000000, -0.079588392344731, 0.000000000000000,
+-2.453213599392345, 0.000000000000000, 0.296795909127105, 0.000000000000000, -0.253426616607643, 0.000000000000000, 1.418937160028195, 0.000000000000000,
+-1.672949529066915, 0.000000000000000, -1.620990298572947, 0.000000000000000, -1.085103073196045, 0.000000000000000, 0.738606361195386, 0.000000000000000,
+-2.097831202853255, 0.000000000000000, 2.711952282071310, 0.000000000000000, 1.498539238246888, 0.000000000000000, 1.317457282535915, 0.000000000000000,
+-0.302765938349717, 0.000000000000000, -0.044623707947201, 0.000000000000000, 2.337405215062395, 0.000000000000000, -3.980689173859100, 0.000000000000000,
+
+
+};
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_example_f32.c
new file mode 100644
index 0000000..91d15b5
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_example_f32.c
@@ -0,0 +1,158 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_fft_bin_example_f32.c
+*
+* Description: Example code demonstrating calculation of Max energy bin of
+* frequency domain of input signal.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup FrequencyBin Frequency Bin Example
+ *
+ * \par Description
+ * \par
+ * Demonstrates the calculation of the maximum energy bin in the frequency
+ * domain of the input signal with the use of Complex FFT, Complex
+ * Magnitude, and Maximum functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The input test signal contains a 10 kHz signal with uniformly distributed white noise.
+ * Calculating the FFT of the input signal will give us the maximum energy of the
+ * bin corresponding to the input frequency of 10 kHz.
+ *
+ * \par Block Diagram:
+ * \image html FFTBin.gif "Block Diagram"
+ * \par
+ * The figure below shows the time domain signal of 10 kHz signal with
+ * uniformly distributed white noise, and the next figure shows the input
+ * in the frequency domain. The bin with maximum energy corresponds to 10 kHz signal.
+ * \par
+ * \image html FFTBinInput.gif "Input signal in Time domain"
+ * \image html FFTBinOutput.gif "Input signal in Frequency domain"
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32_10khz points to the input data
+ * \li \c testOutput points to the output data
+ * \li \c fftSize length of FFT
+ * \li \c ifftFlag flag for the selection of CFFT/CIFFT
+ * \li \c doBitReverse Flag for selection of normal order or bit reversed order
+ * \li \c refIndex reference index value at which maximum energy of bin ocuurs
+ * \li \c testIndex calculated index value at which maximum energy of bin ocuurs
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_cfft_f32()
+ * - arm_cmplx_mag_f32()
+ * - arm_max_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_fft_bin_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_fft_bin_example_f32.c
+ */
+
+
+#include "arm_math.h"
+#include "arm_const_structs.h"
+
+#define TEST_LENGTH_SAMPLES 2048
+
+/* -------------------------------------------------------------------
+* External Input and Output buffer Declarations for FFT Bin Example
+* ------------------------------------------------------------------- */
+extern float32_t testInput_f32_10khz[TEST_LENGTH_SAMPLES];
+static float32_t testOutput[TEST_LENGTH_SAMPLES/2];
+
+/* ------------------------------------------------------------------
+* Global variables for FFT Bin Example
+* ------------------------------------------------------------------- */
+uint32_t fftSize = 1024;
+uint32_t ifftFlag = 0;
+uint32_t doBitReverse = 1;
+
+/* Reference index at which max energy of bin ocuurs */
+uint32_t refIndex = 213, testIndex = 0;
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+
+ arm_status status;
+ float32_t maxValue;
+
+ status = ARM_MATH_SUCCESS;
+
+ /* Process the data through the CFFT/CIFFT module */
+ arm_cfft_f32(&arm_cfft_sR_f32_len1024, testInput_f32_10khz, ifftFlag, doBitReverse);
+
+ /* Process the data through the Complex Magnitude Module for
+ calculating the magnitude at each bin */
+ arm_cmplx_mag_f32(testInput_f32_10khz, testOutput, fftSize);
+
+ /* Calculates maxValue and returns corresponding BIN value */
+ arm_max_f32(testOutput, fftSize, &maxValue, &testIndex);
+
+ if (testIndex != refIndex)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+ /* ----------------------------------------------------------------------
+ ** Loop here if the signals fail the PASS check.
+ ** This denotes a test failure
+ ** ------------------------------------------------------------------- */
+
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_data.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_data.c
new file mode 100644
index 0000000..3a95fc5
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_data.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_fir_data.c
+*
+* Description: Data file used for example code
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+** Test input signal contains 1000Hz + 15000 Hz
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32_1kHz_15kHz[320] =
+{
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f,
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f,
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f,
+-0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f,
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f,
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f,
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f,
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f,
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f,
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f,
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f,
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f,
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f,
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f,
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f,
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f,
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f,
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f,
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f,
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f,
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f,
+-0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f,
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f,
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f,
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f,
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f,
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f,
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f,
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f,
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f,
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f,
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f,
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f,
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f,
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f,
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f,
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f,
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f,
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f,
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f,
+};
+
+float32_t refOutput[320] =
+{
++0.0000000000f, -0.0010797829f, -0.0007681386f, -0.0001982932f, +0.0000644313f, +0.0020854271f, +0.0036891871f, +0.0015855941f,
+-0.0026280805f, -0.0075907658f, -0.0119390538f, -0.0086665968f, +0.0088981202f, +0.0430539279f, +0.0974468742f, +0.1740405600f,
++0.2681416601f, +0.3747720089f, +0.4893362230f, +0.6024154672f, +0.7058740791f, +0.7968348987f, +0.8715901940f, +0.9277881093f,
++0.9682182661f, +0.9934674267f, +1.0012052245f, +0.9925859371f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f,
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f,
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f,
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f,
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f,
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f,
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f,
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f,
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f,
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f,
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f,
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f,
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f,
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f,
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f,
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f,
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f,
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f,
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f,
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f,
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f,
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f,
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f,
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f,
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f,
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f,
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f,
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f,
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, -0.0000000000f, +0.1309866321f,
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f,
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f,
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f,
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f,
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f,
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f,
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f,
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f
+};
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_example_f32.c
new file mode 100644
index 0000000..3dd9f5a
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_example_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+ * Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+ *
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+ * Title: arm_fir_example_f32.c
+ *
+ * Description: Example code demonstrating how an FIR filter can be used
+ * as a low pass filter.
+ *
+ * Target Processor: Cortex-M4/Cortex-M3
+ *
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup FIRLPF FIR Lowpass Filter Example
+ *
+ * \par Description:
+ * \par
+ * Removes high frequency signal components from the input using an FIR lowpass filter.
+ * The example demonstrates how to configure an FIR filter and then pass data through
+ * it in a block-by-block fashion.
+ * \image html FIRLPF_signalflow.gif
+ *
+ * \par Algorithm:
+ * \par
+ * The input signal is a sum of two sine waves: 1 kHz and 15 kHz.
+ * This is processed by an FIR lowpass filter with cutoff frequency 6 kHz.
+ * The lowpass filter eliminates the 15 kHz signal leaving only the 1 kHz sine wave at the output.
+ * \par
+ * The lowpass filter was designed using MATLAB with a sample rate of 48 kHz and
+ * a length of 29 points.
+ * The MATLAB code to generate the filter coefficients is shown below:
+ * <pre>
+ * h = fir1(28, 6/24);
+ * </pre>
+ * The first argument is the "order" of the filter and is always one less than the desired length.
+ * The second argument is the normalized cutoff frequency. This is in the range 0 (DC) to 1.0 (Nyquist).
+ * A 6 kHz cutoff with a Nyquist frequency of 24 kHz lies at a normalized frequency of 6/24 = 0.25.
+ * The CMSIS FIR filter function requires the coefficients to be in time reversed order.
+ * <pre>
+ * fliplr(h)
+ * </pre>
+ * The resulting filter coefficients and are shown below.
+ * Note that the filter is symmetric (a property of linear phase FIR filters)
+ * and the point of symmetry is sample 14. Thus the filter will have a delay of
+ * 14 samples for all frequencies.
+ * \par
+ * \image html FIRLPF_coeffs.gif
+ * \par
+ * The frequency response of the filter is shown next.
+ * The passband gain of the filter is 1.0 and it reaches 0.5 at the cutoff frequency 6 kHz.
+ * \par
+ * \image html FIRLPF_response.gif
+ * \par
+ * The input signal is shown below.
+ * The left hand side shows the signal in the time domain while the right hand side is a frequency domain representation.
+ * The two sine wave components can be clearly seen.
+ * \par
+ * \image html FIRLPF_input.gif
+ * \par
+ * The output of the filter is shown below. The 15 kHz component has been eliminated.
+ * \par
+ * \image html FIRLPF_output.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32_1kHz_15kHz points to the input data
+ * \li \c refOutput points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c firStateF32 points to state buffer
+ * \li \c firCoeffs32 points to coefficient buffer
+ * \li \c blockSize number of samples processed at a time
+ * \li \c numBlocks number of frames
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fir_init_f32()
+ * - arm_fir_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_fir_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_fir_example_f32.c
+ */
+
+/* ----------------------------------------------------------------------
+** Include Files
+** ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+** Macro Defines
+** ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES 320
+#define SNR_THRESHOLD_F32 140.0f
+#define BLOCK_SIZE 32
+#define NUM_TAPS 29
+
+/* -------------------------------------------------------------------
+ * The input signal and reference output (computed with MATLAB)
+ * are defined externally in arm_fir_lpf_data.c.
+ * ------------------------------------------------------------------- */
+
+extern float32_t testInput_f32_1kHz_15kHz[TEST_LENGTH_SAMPLES];
+extern float32_t refOutput[TEST_LENGTH_SAMPLES];
+
+/* -------------------------------------------------------------------
+ * Declare Test output buffer
+ * ------------------------------------------------------------------- */
+
+static float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+/* -------------------------------------------------------------------
+ * Declare State buffer of size (numTaps + blockSize - 1)
+ * ------------------------------------------------------------------- */
+
+static float32_t firStateF32[BLOCK_SIZE + NUM_TAPS - 1];
+
+/* ----------------------------------------------------------------------
+** FIR Coefficients buffer generated using fir1() MATLAB function.
+** fir1(28, 6/24)
+** ------------------------------------------------------------------- */
+
+const float32_t firCoeffs32[NUM_TAPS] = {
+ -0.0018225230f, -0.0015879294f, +0.0000000000f, +0.0036977508f, +0.0080754303f, +0.0085302217f, -0.0000000000f, -0.0173976984f,
+ -0.0341458607f, -0.0333591565f, +0.0000000000f, +0.0676308395f, +0.1522061835f, +0.2229246956f, +0.2504960933f, +0.2229246956f,
+ +0.1522061835f, +0.0676308395f, +0.0000000000f, -0.0333591565f, -0.0341458607f, -0.0173976984f, -0.0000000000f, +0.0085302217f,
+ +0.0080754303f, +0.0036977508f, +0.0000000000f, -0.0015879294f, -0.0018225230f
+};
+
+/* ------------------------------------------------------------------
+ * Global variables for FIR LPF Example
+ * ------------------------------------------------------------------- */
+
+uint32_t blockSize = BLOCK_SIZE;
+uint32_t numBlocks = TEST_LENGTH_SAMPLES/BLOCK_SIZE;
+
+float32_t snr;
+
+/* ----------------------------------------------------------------------
+ * FIR LPF Example
+ * ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+ uint32_t i;
+ arm_fir_instance_f32 S;
+ arm_status status;
+ float32_t *inputF32, *outputF32;
+
+ /* Initialize input and output buffer pointers */
+ inputF32 = &testInput_f32_1kHz_15kHz[0];
+ outputF32 = &testOutput[0];
+
+ /* Call FIR init function to initialize the instance structure. */
+ arm_fir_init_f32(&S, NUM_TAPS, (float32_t *)&firCoeffs32[0], &firStateF32[0], blockSize);
+
+ /* ----------------------------------------------------------------------
+ ** Call the FIR process function for every blockSize samples
+ ** ------------------------------------------------------------------- */
+
+ for(i=0; i < numBlocks; i++)
+ {
+ arm_fir_f32(&S, inputF32 + (i * blockSize), outputF32 + (i * blockSize), blockSize);
+ }
+
+ /* ----------------------------------------------------------------------
+ ** Compare the generated output against the reference output computed
+ ** in MATLAB.
+ ** ------------------------------------------------------------------- */
+
+ snr = arm_snr_f32(&refOutput[0], &testOutput[0], TEST_LENGTH_SAMPLES);
+
+ if (snr < SNR_THRESHOLD_F32)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+ else
+ {
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* ----------------------------------------------------------------------
+ ** Loop here if the signal does not match the reference output.
+ ** ------------------------------------------------------------------- */
+
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+/** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0 b
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.c
+*
+* Description: Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+* Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+* Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief Caluclation of SNR
+ * @param[in] pRef Pointer to the reference buffer
+ * @param[in] pTest Pointer to the test buffer
+ * @param[in] buffSize total number of samples
+ * @return SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+ float EnergySignal = 0.0, EnergyError = 0.0;
+ uint32_t i;
+ float SNR;
+ int temp;
+ int *test;
+
+ for (i = 0; i < buffSize; i++)
+ {
+ /* Checking for a NAN value in pRef array */
+ test = (int *)(&pRef[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+ /* Checking for a NAN value in pTest array */
+ test = (int *)(&pTest[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+ EnergySignal += pRef[i] * pRef[i];
+ EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+ }
+
+ /* Checking for a NAN value in EnergyError */
+ test = (int *)(&EnergyError);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+
+ SNR = 10 * log10 (EnergySignal / EnergyError);
+
+ return (SNR);
+
+}
+
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Converts float to fixed in q12.20 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to outputbuffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1048576.0f corresponds to pow(2, 20) */
+ pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 1.0)
+ {
+ pOut[i] = 0x000FFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+
+
+/**
+ * @brief Caluclates number of guard bits
+ * @param[in] num_adds number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+ uint32_t i = 1, j = 0;
+
+ if (num_adds == 1)
+ {
+ return (0);
+ }
+
+ while (i < num_adds)
+ {
+ i = i * 2;
+ j++;
+ }
+
+ return (j);
+}
+
+/**
+ * @brief Apply guard bits to buffer
+ * @param[in,out] pIn pointer to input buffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @param[in] guard_bits guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+ uint32_t numSamples,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+ }
+}
+
+/**
+ * @brief Calculates pow(2, numShifts)
+ * @param[in] numShifts number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+ uint32_t i, val = 1;
+
+ for (i = 0; i < numShifts; i++)
+ {
+ val = val * 2;
+ }
+
+ return(val);
+}
+
+
+
+/**
+ * @brief Converts float to fixed q14
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 16384.0f corresponds to pow(2, 14) */
+ pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFF;
+ }
+
+ }
+
+}
+
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 4.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+
+/**
+ * @brief Converts float to fixed q28 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 268435456.0f corresponds to pow(2, 28) */
+ pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 8.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Clip the float values to +/- 1
+ * @param[in,out] pIn input buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ if (pIn[i] > 1.0f)
+ {
+ pIn[i] = 1.0;
+ }
+ else if ( pIn[i] < -1.0f)
+ {
+ pIn[i] = -1.0;
+ }
+
+ }
+}
+
+
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.h b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.h
+*
+* Description: Prototypes of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize);
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_data.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_data.c
new file mode 100644
index 0000000..b6ab8c9
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_data.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_graphic_equalizer_data.c
+*
+* Description: Data file used for example code
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+float32_t testRefOutput_f32[320] = {
+
+0.000000000000000000, 0.001898396760225296, 0.004215449094772339, 0.007432077080011368, 0.010948467999696732, 0.015026375651359558, 0.019191544502973557, 0.023574527353048325,
+0.027919445186853409, 0.032277785241603851, 0.036551639437675476, 0.040732793509960175, 0.044799156486988068, 0.048710610717535019, 0.052476800978183746, 0.056059073656797409,
+0.059482168406248093, 0.062726479023694992, 0.065821025520563126, 0.068763464689254761, 0.071577839553356171, 0.074270240962505341, 0.076856281608343124, 0.079344697296619415,
+0.081745062023401260, 0.084067162126302719, 0.086318407207727432, 0.088509257882833481, 0.090647127479314804, 0.092742368578910828, 0.094802625477313995, 0.096837285906076431,
+0.098853722214698792, 0.100859899073839190, 0.102862443774938580, 0.104867763817310330, 0.106881409883499150, 0.108908228576183320, 0.110952425748109820, 0.113017357885837550,
+0.115105822682380680, 0.117219865322113040, 0.119361080229282380, 0.121530555188655850, 0.123729091137647630, 0.125957202166318890, 0.128215309232473370, 0.130503740161657330,
+0.132822841405868530, 0.135173004120588300, 0.137554679065942760, 0.139968376606702800, 0.142414685338735580, 0.144894234836101530, 0.147407654672861100, 0.149955596774816510,
+0.152538605034351350, 0.155157200992107390, 0.157811731100082400, 0.160502441227436070, 0.163229387253522870, 0.165992442518472670, 0.168791320174932480, 0.171625509858131410,
+0.174494370818138120, 0.177397061139345170, 0.180332608520984650, 0.183299910277128220, 0.186297744512557980, 0.189324837177991870, 0.192379791289567950, 0.195461250841617580,
+0.198567759245634080, 0.201697919517755510, 0.204850304871797560, 0.208023533225059510, 0.211216274648904800, 0.214427210390567780, 0.217655111104249950, 0.220898788422346120,
+0.224157124757766720, 0.227429077029228210, 0.230713658034801480, 0.234009962528944020, 0.237317133694887160, 0.240634419023990630, 0.243961080908775330, 0.247296508401632310,
+0.250640105456113820, 0.253991369158029560, 0.257349837571382520, 0.260715119540691380, 0.264086868613958360, 0.267464816570281980, 0.270848698914051060, 0.274238351732492450,
+0.277633611112833020, 0.281034380197525020, 0.284440591931343080, 0.287852220237255100, 0.291269283741712570, 0.294691801071166990, 0.298119872808456420, 0.301553562283515930,
+0.304993014782667160, 0.308438356965780260, 0.311889752745628360, 0.315347377210855480, 0.318811416625976560, 0.322282072156667710, 0.325759567320346830, 0.329244095832109450,
+0.332735907286405560, 0.336235217750072480, 0.339742250740528110, 0.343257248401641850, 0.346780419349670410, 0.350311983376741410, 0.353852160274982450, 0.357401121407747270,
+0.360959105193614960, 0.364526227116584780, 0.368102725595235820, 0.371688675135374070, 0.375284302979707720, 0.378889638930559160, 0.382504884153604510, 0.386130042374134060,
+0.389765247702598570, 0.393410529941320420, 0.397065933793783190, 0.400731507688760760, 0.404407206922769550, 0.408093083649873730, 0.411789052188396450, 0.415495119988918300,
+0.419211201369762420, 0.422937240451574330, 0.426673140376806260, 0.430418811738491060, 0.434174135327339170, 0.437938995659351350, 0.441713258624076840, 0.445496778935194020,
+0.449289388954639430, 0.453090950846672060, 0.456901267170906070, 0.460720170289278030, 0.464547459036111830, 0.468382950872182850, 0.472226426005363460, 0.476077698171138760,
+0.479936532676219940, 0.483802750706672670, 0.487676106393337250, 0.491556398570537570, 0.495443399995565410, 0.499336875975131990, 0.503236617892980580, 0.507142387330532070,
+0.511053957045078280, 0.514971107244491580, 0.518893606960773470, 0.522821225225925450, 0.526753749698400500, 0.530690938234329220, 0.534632585942745210, 0.538578454405069350,
+0.542528338730335240, 0.546481993049383160, 0.550439231097698210, 0.554399792104959490, 0.558363504707813260, 0.562330115586519240, 0.566299438476562500, 0.570271246135234830,
+0.574245333671569820, 0.578221492469310760, 0.582199502736330030, 0.586179181933403020, 0.590160276740789410, 0.594142623245716090, 0.598125983029603960, 0.602110169827938080,
+0.606094967573881150, 0.610080175101757050, 0.614065583795309070, 0.618050977587699890, 0.622036151587963100, 0.626020893454551700, 0.630004994571208950, 0.633988231420516970,
+0.637970402836799620, 0.641951277852058410, 0.645930647850036620, 0.649908289313316350, 0.653883971273899080, 0.657857488840818410, 0.661828581243753430, 0.665797054767608640,
+0.669762641191482540, 0.673725124448537830, 0.677684243768453600, 0.681639779359102250, 0.685591462999582290, 0.689539063721895220, 0.693482317030429840, 0.697420965880155560,
+0.701354760676622390, 0.705283410847187040, 0.709206689149141310, 0.713124278932809830, 0.717035952955484390, 0.720941375941038130, 0.724840316921472550, 0.728732451796531680,
+0.732617516070604320, 0.736495196819305420, 0.740365199744701390, 0.744227230548858640, 0.748080968856811520, 0.751926124095916750, 0.755762357264757160, 0.759589381515979770,
+0.763406842947006230, 0.767214450985193250, 0.771011855453252790, 0.774798732250928880, 0.778574761003255840, 0.782339565455913540, 0.786092851310968400, 0.789834223687648770,
+0.793563373386859890, 0.797279909253120420, 0.800983514636754990, 0.804673787206411360, 0.808350402861833570, 0.812012966722249980, 0.815661124885082240, 0.819294504821300510,
+0.822912722826004030, 0.826515413820743560, 0.830102190375328060, 0.833672653883695600, 0.837226435542106630, 0.840763118118047710, 0.844282336533069610, 0.847783654928207400,
+0.851266715675592420, 0.854731071740388870, 0.858176350593566890, 0.861602116376161580, 0.865007970482110980, 0.868393491953611370, 0.871758259832859040, 0.875101849436759950,
+0.878423850983381270, 0.881723806262016300, 0.885001312941312790, 0.888255912810564040, 0.891487173736095430, 0.894694659858942030, 0.897877920418977740, 0.901036512106657030,
+0.904169965535402300, 0.907277844846248630, 0.910359673202037810, 0.913415014743804930, 0.916443370282649990, 0.919444311410188670, 0.922417331486940380, 0.925361987203359600,
+0.928277771919965740, 0.931164238601922990, 0.934020876884460450, 0.936847217381000520, 0.939642757177352910, 0.942407000809907910, 0.945139460265636440, 0.947839632630348210,
+0.950507018715143200, 0.953141096979379650, 0.955741371959447860, 0.958307322114706040, 0.960838429629802700, 0.963334184139966960, 0.965794049203395840, 0.968217510730028150,
+0.970604017376899720, 0.972953058779239650, 0.975264083594083790, 0.977536566555500030, 0.979769956320524220, 0.981963708996772770, 0.984117280691862110, 0.986230112612247470,
+0.988301653414964680, 0.990331344306468960, 0.992318630218505860, 0.994262944906950000, 0.996163722127676010, 0.998020399361848830, 0.999832402914762500, 1.001599155366420700,
+1.003320086747407900, 1.004994612187147100, 1.006622135639190700, 1.008202098309993700, 1.009733878076076500, 1.011216927319765100, 1.012650609016418500, 1.014034371823072400,
+1.015367589890956900, 1.016649682074785200, 1.017880033701658200, 1.019058048725128200, 1.020183108747005500, 1.021254621446132700, 1.022271949797868700, 1.023234523832798000,
+
+};
+/* ----------------------------------------------------------------------
+** Test input - logarithmic chirp signal
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32[320] =
+ {
+ 0.000000000000000061, 0.002622410992047861, 0.005253663973466970, 0.007893770384930297, 0.010542741395035495, 0.013200587895525877, 0.015867320496454066, 0.018542949521290073,
+0.021227485001971542, 0.023920936673895138, 0.026623313970853074, 0.029334626019908643, 0.032054881636210709, 0.034784089317753723, 0.037522257240071598, 0.040269393250875855,
+0.043025504864628375, 0.045790599257054837, 0.048564683259595690, 0.051347763353792118, 0.054139845665610427, 0.056940935959702531, 0.059751039633601337, 0.062570161711849828,
+0.065398306840066575, 0.068235479278943648, 0.071081682898178900, 0.073936921170339814, 0.076801197164660218, 0.079674513540768196, 0.082556872542344922, 0.085448275990715375,
+0.088348725278367082, 0.091258221362398390, 0.094176764757897533, 0.097104355531246703, 0.100040993293358240, 0.102986677192832010, 0.105941405909045980, 0.108905177645166230,
+0.111877990121087980, 0.114859840566297130, 0.117850725712659680, 0.120850641787131110, 0.123859584504392860, 0.126877549059407400, 0.129904530119898690, 0.132940521818751430,
+0.135985517746334080, 0.139039510942737950, 0.142102493889940090, 0.145174458503884160, 0.148255396126476810, 0.151345297517508140, 0.154444152846483080, 0.157551951684374300,
+0.160668682995289720, 0.163794335128054890, 0.166928895807713030, 0.170072352126936720, 0.173224690537355760, 0.176385896840798810, 0.179555956180445340, 0.182734853031894270,
+0.185922571194139130, 0.189119093780459800, 0.192324403209221870, 0.195538481194587030, 0.198761308737133020, 0.201992866114384050, 0.205233132871247170, 0.208482087810360570,
+0.211739708982344370, 0.215005973675965020, 0.218280858408200220, 0.221564338914212730, 0.224856390137231970, 0.228156986218334190, 0.231466100486134670, 0.234783705446379690,
+0.238109772771442410, 0.241444273289723230, 0.244787176974952890, 0.248138452935395580, 0.251498069402956710, 0.254865993722190930, 0.258242192339209860, 0.261626630790492030,
+0.265019273691591620, 0.268420084725748410, 0.271829026632395280, 0.275246061195565440, 0.278671149232197430, 0.282104250580339830, 0.285545324087251580, 0.288994327597401960,
+0.292451217940364990, 0.295915950918612280, 0.299388481295203350, 0.302868762781368150, 0.306356748023990040, 0.309852388592980640, 0.313355634968552230, 0.316866436528383590,
+0.320384741534681720, 0.323910497121136620, 0.327443649279772870, 0.330984142847692230, 0.334531921493712690, 0.338086927704900790, 0.341649102772995210, 0.345218386780727190,
+0.348794718588032520, 0.352378035818156910, 0.355968274843654950, 0.359565370772282730, 0.363169257432780890, 0.366779867360555120, 0.370397131783246010, 0.374020980606193880,
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+0.527204660069405030, 0.531021935584629400, 0.534841307189911630, 0.538662630647041900, 0.542485759636628150, 0.546310545739186690, 0.550136838416161340, 0.553964484990880020,
+0.557793330629441700, 0.561623218321546380, 0.565453988861259300, 0.569285480827721570, 0.573117530565801950, 0.576949972166696630, 0.580782637448476910, 0.584615355936589420,
+0.588447954844309340, 0.592280259053150400, 0.596112091093235260, 0.599943271123626440, 0.603773616912622660, 0.607602943818024150, 0.611431064767369080, 0.615257790238142090,
+0.619082928237961740, 0.622906284284749700, 0.626727661386881850, 0.630546860023327600, 0.634363678123782030, 0.638177911048790960, 0.641989351569874020, 0.645797789849653410,
+0.649603013421986450, 0.653404807172108140, 0.657202953316791350, 0.660997231384523490, 0.664787418195706640, 0.668573287842887610, 0.672354611671016960, 0.676131158257749170,
+0.679902693393781730, 0.683668980063242500, 0.687429778424128110, 0.691184845788802130, 0.694933936604551380, 0.698676802434213370, 0.702413191936877570, 0.706142850848662460,
+0.709865521963579990, 0.713580945114492330, 0.717288857154159800, 0.720988991936399870, 0.724681080297347790, 0.728364850036839040, 0.732040025899910680, 0.735706329558433620,
+0.739363479592880620, 0.743011191474238440, 0.746649177546067850, 0.750277147006723990, 0.753894805891742180, 0.757501857056394940, 0.761098000158428880, 0.764682931640995540,
+0.768256344715771980, 0.771817929346292900, 0.775367372231492210, 0.778904356789468790, 0.782428563141483460, 0.785939668096195860, 0.789437345134148760, 0.792921264392515420,
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+0.823601336506926020, 0.826928789631450890, 0.830238631748229430, 0.833530491791779850, 0.836803995183058700, 0.840058763818912760, 0.843294416061954100, 0.846510566730867220,
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+0.897810814673113080, 0.900605985702712770, 0.903373654106265470, 0.906113362578062300, 0.908824650189867690, 0.911507052394417540, 0.914160101029702910, 0.916783324324059180,
+0.919376246902079860, 0.921938389791372770, 0.924469270430179120, 0.926968402675872660, 0.929435296814361430, 0.931869459570409790, 0.934270394118903560, 0.936637600097074200,
+0.938970573617708970, 0.941268807283364040, 0.943531790201601380, 0.945759008001275100, 0.947949942849885320, 0.950104073472023970, 0.952220875168933280, 0.954299819839202090,
+0.956340376000621160, 0.958342008813221960, 0.960304180103520260, 0.962226348389994210, 0.964107968909812760, 0.965948493646846980, 0.967747371360983650, 0.969504047618768740,
+0.971217964825405680, 0.972888562258134030, 0.974515276101013520, 0.976097539481141750, 0.977634782506330400, 0.979126432304266880, 0.980571913063189360, 0.981970646074102120,
+0.983322049774557390, 0.984625539794035220, 0.985880529000944810, 0.987086427551279730, 0.988242642938953360, 0.989348580047844540, 0.990403641205582440, 0.991407226239099710,
+0.992358732531984260, 0.993257555083659870, 0.994103086570423680, 0.994894717408374870, 0.995631835818261310, 0.996313827892278070, 0.996940077662846650, 0.997509967173408010,
+
+ };
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_example_q31.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_example_q31.c
new file mode 100644
index 0000000..c263d18
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_example_q31.c
@@ -0,0 +1,411 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_graphic_equalizer_example_q31.c
+*
+* Description: Example showing an audio graphic equalizer constructed
+* out of Biquad filters.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup GEQ5Band Graphic Audio Equalizer Example
+ *
+ * \par Description:
+ * \par
+ * This example demonstrates how a 5-band graphic equalizer can be constructed
+ * using the Biquad cascade functions.
+ * A graphic equalizer is used in audio applications to vary the tonal quality
+ * of the audio.
+ *
+ * \par Block Diagram:
+ * \par
+ * The design is based on a cascade of 5 filter sections.
+ * \image html GEQ_signalflow.gif
+ * Each filter section is 4th order and consists of a cascade of two Biquads.
+ * Each filter has a nominal gain of 0 dB (1.0 in linear units) and
+ * boosts or cuts signals within a specific frequency range.
+ * The edge frequencies between the 5 bands are 100, 500, 2000, and 6000 Hz.
+ * Each band has an adjustable boost or cut in the range of +/- 9 dB.
+ * For example, the band that extends from 500 to 2000 Hz has the response shown below:
+ * \par
+ * \image html GEQ_bandresponse.gif
+ * \par
+ * With 1 dB steps, each filter has a total of 19 different settings.
+ * The filter coefficients for all possible 19 settings were precomputed
+ * in MATLAB and stored in a table. With 5 different tables, there are
+ * a total of 5 x 19 = 95 different 4th order filters.
+ * All 95 responses are shown below:
+ * \par
+ * \image html GEQ_allbandresponse.gif
+ * \par
+ * Each 4th order filter has 10 coefficents for a grand total of 950 different filter
+ * coefficients that must be tabulated. The input and output data is in Q31 format.
+ * For better noise performance, the two low frequency bands are implemented using the high
+ * precision 32x64-bit Biquad filters. The remaining 3 high frequency bands use standard
+ * 32x32-bit Biquad filters. The input signal used in the example is a logarithmic chirp.
+ * \par
+ * \image html GEQ_inputchirp.gif
+ * \par
+ * The array <code>bandGains</code> specifies the gain in dB to apply in each band.
+ * For example, if <code>bandGains={0, -3, 6, 4, -6};</code> then the output signal will be:
+ * \par
+ * \image html GEQ_outputchirp.gif
+ * \par
+ * \note The output chirp signal follows the gain or boost of each band.
+ * \par
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c testRefOutput_f32 points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c inputQ31 temporary input buffer
+ * \li \c outputQ31 temporary output buffer
+ * \li \c biquadStateBand1Q31 points to state buffer for band1
+ * \li \c biquadStateBand2Q31 points to state buffer for band2
+ * \li \c biquadStateBand3Q31 points to state buffer for band3
+ * \li \c biquadStateBand4Q31 points to state buffer for band4
+ * \li \c biquadStateBand5Q31 points to state buffer for band5
+ * \li \c coeffTable points to coefficient buffer for all bands
+ * \li \c gainDB gain buffer which has gains applied for all the bands
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_biquad_cas_df1_32x64_init_q31()
+ * - arm_biquad_cas_df1_32x64_q31()
+ * - arm_biquad_cascade_df1_init_q31()
+ * - arm_biquad_cascade_df1_q31()
+ * - arm_scale_q31()
+ * - arm_scale_f32()
+ * - arm_float_to_q31()
+ * - arm_q31_to_float()
+ *
+ * <b> Refer </b>
+ * \link arm_graphic_equalizer_example_q31.c \endlink
+ *
+ */
+
+
+/** \example arm_graphic_equalizer_example_q31.c
+ */
+
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* Length of the overall data in the test */
+#define TESTLENGTH 320
+
+/* Block size for the underlying processing */
+#define BLOCKSIZE 32
+
+/* Total number of blocks to run */
+#define NUMBLOCKS (TESTLENGTH/BLOCKSIZE)
+
+/* Number of 2nd order Biquad stages per filter */
+#define NUMSTAGES 2
+
+#define SNR_THRESHOLD_F32 98
+
+/* -------------------------------------------------------------------
+ * External Declarations for Input and Output buffers
+ * ------------------------------------------------------------------- */
+
+extern float32_t testInput_f32[TESTLENGTH];
+static float32_t testOutput[TESTLENGTH];
+
+extern float32_t testRefOutput_f32[TESTLENGTH];
+
+/* ----------------------------------------------------------------------
+** Q31 state buffers for Band1, Band2, Band3, Band4, Band5
+** ------------------------------------------------------------------- */
+
+static q63_t biquadStateBand1Q31[4 * 2];
+static q63_t biquadStateBand2Q31[4 * 2];
+static q31_t biquadStateBand3Q31[4 * 2];
+static q31_t biquadStateBand4Q31[4 * 2];
+static q31_t biquadStateBand5Q31[4 * 2];
+
+/* ----------------------------------------------------------------------
+** Q31 input and output buffers
+** ------------------------------------------------------------------- */
+
+q31_t inputQ31[BLOCKSIZE];
+q31_t outputQ31[BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+** Entire coefficient table. There are 10 coefficients per 4th order Biquad
+** cascade filter. The first 10 coefficients correspond to the -9 dB gain
+** setting of band 1; the next 10 coefficient correspond to the -8 dB gain
+** setting of band 1; and so on. There are 10*19=190 coefficients in total
+** for band 1 (gains = -9, -8, -7, ..., 9). After this come the 190 coefficients
+** for band 2.
+**
+** The coefficients are in Q29 format and require a postShift of 2.
+** ------------------------------------------------------------------- */
+
+const q31_t coeffTable[950] = {
+
+ /* Band 1, -9 dB gain */
+ 535576962, -1071153923, 535576962, 1073741824, -536870912, 535576962, -1063501998, 527979313, 1060865294, -524146981,
+ /* Band 1, -8 dB gain */
+ 535723226, -1071446451, 535723226, 1073741824, -536870912, 535723226, -1063568947, 527903217, 1061230578, -524503778,
+ 535868593, -1071737186, 535868593, 1073741824, -536870912, 535868593, -1063627467, 527819780, 1061585502, -524850686,
+ 536013181, -1072026363, 536013181, 1073741824, -536870912, 536013181, -1063677598, 527728935, 1061930361, -525187972,
+ 536157109, -1072314217, 536157109, 1073741824, -536870912, 536157109, -1063719372, 527630607, 1062265438, -525515897,
+ 536300492, -1072600983, 536300492, 1073741824, -536870912, 536300492, -1063752815, 527524720, 1062591011, -525834716,
+ 536443447, -1072886894, 536443447, 1073741824, -536870912, 536443447, -1063777945, 527411186, 1062907350, -526144676,
+ 536586091, -1073172183, 536586091, 1073741824, -536870912, 536586091, -1063794775, 527289917, 1063214717, -526446017,
+ 536728541, -1073457082, 536728541, 1073741824, -536870912, 536728541, -1063803308, 527160815, 1063513366, -526738975,
+ 536870912, -1073741824, 536870912, 1073741824, -536870912, 536870912, -1063803543, 527023777, 1063803543, -527023777,
+ 537013321, -1074026642, 537013321, 1073741824, -536870912, 537013321, -1063795470, 526878696, 1064085490, -527300648,
+ 537155884, -1074311768, 537155884, 1073741824, -536870912, 537155884, -1063779073, 526725455, 1064359439, -527569803,
+ 537298718, -1074597435, 537298718, 1073741824, -536870912, 537298718, -1063754328, 526563934, 1064625617, -527831454,
+ 537441939, -1074883878, 537441939, 1073741824, -536870912, 537441939, -1063721205, 526394005, 1064884245, -528085806,
+ 537585666, -1075171331, 537585666, 1073741824, -536870912, 537585666, -1063679666, 526215534, 1065135536, -528333059,
+ 537730015, -1075460030, 537730015, 1073741824, -536870912, 537730015, -1063629666, 526028380, 1065379699, -528573409,
+ 537875106, -1075750212, 537875106, 1073741824, -536870912, 537875106, -1063571152, 525832396, 1065616936, -528807045,
+ 538021057, -1076042114, 538021057, 1073741824, -536870912, 538021057, -1063504065, 525627429, 1065847444, -529034151,
+ 538167989, -1076335977, 538167989, 1073741824, -536870912, 538167989, -1063428338, 525413317, 1066071412, -529254907,
+
+ /* Band 2, -9 dB gain */
+ 531784976, -1055497692, 523873415, 1066213307, -529420241, 531784976, -1040357886, 509828014, 1028908252, -494627367,
+ /* Band 2, -8 dB gain */
+ 532357636, -1056601982, 524400080, 1066115844, -529326645, 532357636, -1040623406, 509562600, 1030462237, -496062122,
+ 532927392, -1057707729, 524931110, 1066024274, -529239070, 532927392, -1040848253, 509262081, 1031969246, -497457090,
+ 533494678, -1058816094, 525467240, 1065939047, -529157961, 533494678, -1041032161, 508925950, 1033429976, -498812573,
+ 534059929, -1059928204, 526009170, 1065860582, -529083734, 534059929, -1041174868, 508553717, 1034845124, -500128887,
+ 534623580, -1061045148, 526557561, 1065789260, -529016764, 534623580, -1041276126, 508144920, 1036215393, -501406373,
+ 535186068, -1062167969, 527113032, 1065725420, -528957385, 535186068, -1041335703, 507699125, 1037541500, -502645399,
+ 535747827, -1063297666, 527676151, 1065669351, -528905879, 535747827, -1041353386, 507215934, 1038824183, -503846368,
+ 536309295, -1064435183, 528247436, 1065621289, -528862476, 536309295, -1041328990, 506694984, 1040064203, -505009724,
+ 536870912, -1065581413, 528827349, 1065581413, -528827349, 536870912, -1041262354, 506135953, 1041262354, -506135953,
+ 537433117, -1066737194, 529416295, 1065549847, -528800610, 537433117, -1041153346, 505538564, 1042419457, -507225588,
+ 537996352, -1067903307, 530014622, 1065526651, -528782316, 537996352, -1041001864, 504902578, 1043536370, -508279208,
+ 538561061, -1069080480, 530622620, 1065511830, -528772462, 538561061, -1040807833, 504227800, 1044613981, -509297437,
+ 539127690, -1070269387, 531240527, 1065505333, -528770987, 539127690, -1040571205, 503514074, 1045653211, -510280946,
+ 539696690, -1071470656, 531868525, 1065507054, -528777778, 539696690, -1040291951, 502761277, 1046655011, -511230450,
+ 540268512, -1072684867, 532506750, 1065516837, -528792672, 540268512, -1039970063, 501969320, 1047620358, -512146700,
+ 540843613, -1073912567, 533155297, 1065534483, -528815459, 540843613, -1039605542, 501138139, 1048550251, -513030484,
+ 541422451, -1075154268, 533814224, 1065559750, -528845892, 541422451, -1039198394, 500267687, 1049445708, -513882621,
+ 542005489, -1076410460, 534483561, 1065592362, -528883686, 542005489, -1038748624, 499357932, 1050307760, -514703956,
+ 518903861, -1001986830, 486725277, 1037235801, -502367695, 518903861, -945834422, 446371043, 902366163, -400700571,
+ 520899989, -1005630916, 488289126, 1036926846, -502147311, 520899989, -946490935, 445581846, 907921945, -404936158,
+ 522893209, -1009290002, 489869792, 1036650484, -501961419, 522893209, -947006359, 444685310, 913306106, -409075225,
+ 524884763, -1012968199, 491470256, 1036407567, -501810737, 524884763, -947377809, 443679533, 918521018, -413116221,
+ 526875910, -1016669649, 493093518, 1036198712, -501695739, 526875910, -947602324, 442562672, 923569247, -417057897,
+ 528867927, -1020398503, 494742575, 1036024293, -501616651, 528867927, -947676875, 441332970, 928453558, -420899319,
+ 530862111, -1024158905, 496420407, 1035884447, -501573457, 530862111, -947598385, 439988777, 933176909, -424639872,
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+ 544995000, -1051701717, 509207261, 1035839473, -502229165, 544995000, -942503190, 427268492, 962017400, -448011351,
+ 547055523, -1055855728, 511213065, 1035956193, -502447657, 547055523, -941089647, 424969617, 965578640, -450958226,
+ 549130774, -1060074734, 513269973, 1036100110, -502693359, 549130774, -939496155, 422550049, 969011913, -453811298,
+ 551222259, -1064361672, 515379585, 1036269804, -502964731, 551222259, -937720119, 420010407, 972321228, -456572401,
+ 553331507, -1068719280, 517543273, 1036463810, -503260192, 553331507, -935759057, 417351601, 975510582, -459243495,
+ 555460072, -1073150100, 519762181, 1036680633, -503578144, 555460072, -933610600, 414574832, 978583948, -461826644,
+ 494084017, -851422604, 404056273, 930151631, -423619864, 494084017, -673714108, 339502486, 561843007, -265801750,
+ 498713542, -859177141, 406587077, 929211656, -423786402, 498713542, -673274906, 338185129, 573719128, -272222942,
+ 503369016, -867012190, 409148384, 928362985, -424054784, 503369016, -672533059, 336693984, 585290277, -278599028,
+ 508052536, -874935599, 411746438, 927604291, -424422151, 508052536, -671478538, 335026905, 596558312, -284920289,
+ 512766286, -882955583, 414387826, 926933782, -424885216, 512766286, -670100998, 333182045, 607525792, -291177811,
+ 517512534, -891080712, 417079474, 926349262, -425440318, 517512534, -668389789, 331157902, 618195914, -297363485,
+ 522293635, -899319903, 419828635, 925848177, -426083491, 522293635, -666333963, 328953368, 628572440, -303470012,
+ 527112032, -907682405, 422642886, 925427679, -426810526, 527112032, -663922286, 326567785, 638659631, -309490882,
+ 531970251, -916177781, 425530105, 925084675, -427617023, 531970251, -661143261, 324000998, 648462180, -315420352,
+ 536870912, -924815881, 428498454, 924815881, -428498454, 536870912, -657985147, 321253420, 657985147, -321253420,
+ 541816719, -933606817, 431556352, 924617870, -429450209, 541816719, -654435997, 318326093, 667233900, -326985786,
+ 546810467, -942560921, 434712438, 924487114, -430467639, 546810467, -650483688, 315220754, 676214053, -332613816,
+ 551855042, -951688708, 437975532, 924420027, -431546101, 551855042, -646115970, 311939896, 684931422, -338134495,
+ 556953421, -961000826, 441354588, 924413001, -432680993, 556953421, -641320513, 308486839, 693391970, -343545389,
+ 562108672, -970508005, 444858642, 924462435, -433867780, 562108672, -636084967, 304865786, 701601770, -348844597,
+ 567323959, -980220994, 448496743, 924564764, -435102022, 567323959, -630397020, 301081886, 709566963, -354030710,
+ 572602539, -990150500, 452277894, 924716482, -436379394, 572602539, -624244471, 297141281, 717293726, -359102767,
+ 577947763, -1000307125, 456210977, 924914158, -437695705, 577947763, -617615296, 293051155, 724788245, -364060214,
+ 583363084, -1010701292, 460304674, 925154455, -439046908, 583363084, -610497723, 288819761, 732056685, -368902865,
+ 387379495, -506912469, 196933274, 840112184, -347208270, 387379495, 506912469, 196933274, -840112184, -347208270,
+ 401658082, -532275898, 207149427, 833765363, -343175316, 401658082, 532275898, 207149427, -833765363, -343175316,
+ 416472483, -558722695, 217902617, 827270154, -339107319, 416472483, 558722695, 217902617, -827270154, -339107319,
+ 431841949, -586290861, 229212798, 820624988, -335007540, 431841949, 586290861, 229212798, -820624988, -335007540,
+ 447786335, -615019650, 241100489, 813828443, -330879528, 447786335, 615019650, 241100489, -813828443, -330879528,
+ 464326111, -644949597, 253586805, 806879270, -326727141, 464326111, 644949597, 253586805, -806879270, -326727141,
+ 481482377, -676122557, 266693475, 799776409, -322554559, 481482377, 676122557, 266693475, -799776409, -322554559,
+ 499276882, -708581728, 280442865, 792519013, -318366296, 499276882, 708581728, 280442865, -792519013, -318366296,
+ 517732032, -742371685, 294857996, 785106465, -314167221, 517732032, 742371685, 294857996, -785106465, -314167221,
+ 536870912, -777538408, 309962566, 777538408, -309962566, 536870912, 777538408, 309962566, -777538408, -309962566,
+ 556717294, -814129313, 325780968, 769814766, -305757943, 556717294, 814129313, 325780968, -769814766, -305757943,
+ 577295658, -852193284, 342338310, 761935777, -301559360, 577295658, 852193284, 342338310, -761935777, -301559360,
+ 598631206, -891780698, 359660433, 753902014, -297373230, 598631206, 891780698, 359660433, -753902014, -297373230,
+ 620749877, -932943463, 377773927, 745714425, -293206383, 620749877, 932943463, 377773927, -745714425, -293206383,
+ 643678365, -975735041, 396706151, 737374355, -289066077, 643678365, 975735041, 396706151, -737374355, -289066077,
+ 667444134, -1020210487, 416485252, 728883588, -284960004, 667444134, 1020210487, 416485252, -728883588, -284960004,
+ 692075438, -1066426476, 437140179, 720244375, -280896294, 692075438, 1066426476, 437140179, -720244375, -280896294,
+ 717601336, -1114441339, 458700704, 711459472, -276883515, 717601336, 1114441339, 458700704, -711459472, -276883515,
+ 744051710, -1164315096, 481197437, 702532174, -272930673, 744051710, 1164315096, 481197437, -702532174, -272930673
+
+};
+
+/* ----------------------------------------------------------------------
+** Desired gains, in dB, per band
+** ------------------------------------------------------------------- */
+
+int gainDB[5] = {0, -3, 6, 4, -6};
+
+float32_t snr;
+
+
+/* ----------------------------------------------------------------------
+ * Graphic equalizer Example
+ * ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+ float32_t *inputF32, *outputF32;
+ arm_biquad_cas_df1_32x64_ins_q31 S1;
+ arm_biquad_cas_df1_32x64_ins_q31 S2;
+ arm_biquad_casd_df1_inst_q31 S3;
+ arm_biquad_casd_df1_inst_q31 S4;
+ arm_biquad_casd_df1_inst_q31 S5;
+ int i;
+ int32_t status;
+
+ inputF32 = &testInput_f32[0];
+ outputF32 = &testOutput[0];
+
+ /* Initialize the state and coefficient buffers for all Biquad sections */
+
+ arm_biquad_cas_df1_32x64_init_q31(&S1, NUMSTAGES,
+ (q31_t *) &coeffTable[190*0 + 10*(gainDB[0] + 9)],
+ &biquadStateBand1Q31[0], 2);
+
+ arm_biquad_cas_df1_32x64_init_q31(&S2, NUMSTAGES,
+ (q31_t *) &coeffTable[190*1 + 10*(gainDB[1] + 9)],
+ &biquadStateBand2Q31[0], 2);
+
+ arm_biquad_cascade_df1_init_q31(&S3, NUMSTAGES,
+ (q31_t *) &coeffTable[190*2 + 10*(gainDB[2] + 9)],
+ &biquadStateBand3Q31[0], 2);
+
+ arm_biquad_cascade_df1_init_q31(&S4, NUMSTAGES,
+ (q31_t *) &coeffTable[190*3 + 10*(gainDB[3] + 9)],
+ &biquadStateBand4Q31[0], 2);
+
+ arm_biquad_cascade_df1_init_q31(&S5, NUMSTAGES,
+ (q31_t *) &coeffTable[190*4 + 10*(gainDB[4] + 9)],
+ &biquadStateBand5Q31[0], 2);
+
+
+ /* Call the process functions and needs to change filter coefficients
+ for varying the gain of each band */
+
+ for(i=0; i < NUMBLOCKS; i++)
+ {
+
+ /* ----------------------------------------------------------------------
+ ** Convert block of input data from float to Q31
+ ** ------------------------------------------------------------------- */
+
+ arm_float_to_q31(inputF32 + (i*BLOCKSIZE), inputQ31, BLOCKSIZE);
+
+ /* ----------------------------------------------------------------------
+ ** Scale down by 1/8. This provides additional headroom so that the
+ ** graphic EQ can apply gain.
+ ** ------------------------------------------------------------------- */
+
+ arm_scale_q31(inputQ31, 0x7FFFFFFF, -3, inputQ31, BLOCKSIZE);
+
+ /* ----------------------------------------------------------------------
+ ** Call the Q31 Biquad Cascade DF1 32x64 process function for band1, band2
+ ** ------------------------------------------------------------------- */
+
+ arm_biquad_cas_df1_32x64_q31(&S1, inputQ31, outputQ31, BLOCKSIZE);
+ arm_biquad_cas_df1_32x64_q31(&S2, outputQ31, outputQ31, BLOCKSIZE);
+
+ /* ----------------------------------------------------------------------
+ ** Call the Q31 Biquad Cascade DF1 process function for band3, band4, band5
+ ** ------------------------------------------------------------------- */
+
+ arm_biquad_cascade_df1_q31(&S3, outputQ31, outputQ31, BLOCKSIZE);
+ arm_biquad_cascade_df1_q31(&S4, outputQ31, outputQ31, BLOCKSIZE);
+ arm_biquad_cascade_df1_q31(&S5, outputQ31, outputQ31, BLOCKSIZE);
+
+ /* ----------------------------------------------------------------------
+ ** Convert Q31 result back to float
+ ** ------------------------------------------------------------------- */
+
+ arm_q31_to_float(outputQ31, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+
+ /* ----------------------------------------------------------------------
+ ** Scale back up
+ ** ------------------------------------------------------------------- */
+
+ arm_scale_f32(outputF32 + (i * BLOCKSIZE), 8.0f, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+ };
+
+ snr = arm_snr_f32(testRefOutput_f32, testOutput, TESTLENGTH);
+
+ if (snr < SNR_THRESHOLD_F32)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+ else
+ {
+ status = ARM_MATH_SUCCESS;
+ }
+
+ /* ----------------------------------------------------------------------
+ ** Loop here if the signal does not match the reference output.
+ ** ------------------------------------------------------------------- */
+
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+/** \endlink */
+
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0 b
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.c
+*
+* Description: Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+* Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+* Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief Caluclation of SNR
+ * @param[in] pRef Pointer to the reference buffer
+ * @param[in] pTest Pointer to the test buffer
+ * @param[in] buffSize total number of samples
+ * @return SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+ float EnergySignal = 0.0, EnergyError = 0.0;
+ uint32_t i;
+ float SNR;
+ int temp;
+ int *test;
+
+ for (i = 0; i < buffSize; i++)
+ {
+ /* Checking for a NAN value in pRef array */
+ test = (int *)(&pRef[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+ /* Checking for a NAN value in pTest array */
+ test = (int *)(&pTest[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+ EnergySignal += pRef[i] * pRef[i];
+ EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+ }
+
+ /* Checking for a NAN value in EnergyError */
+ test = (int *)(&EnergyError);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+
+ SNR = 10 * log10 (EnergySignal / EnergyError);
+
+ return (SNR);
+
+}
+
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Converts float to fixed in q12.20 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to outputbuffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1048576.0f corresponds to pow(2, 20) */
+ pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 1.0)
+ {
+ pOut[i] = 0x000FFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+
+
+/**
+ * @brief Caluclates number of guard bits
+ * @param[in] num_adds number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+ uint32_t i = 1, j = 0;
+
+ if (num_adds == 1)
+ {
+ return (0);
+ }
+
+ while (i < num_adds)
+ {
+ i = i * 2;
+ j++;
+ }
+
+ return (j);
+}
+
+/**
+ * @brief Apply guard bits to buffer
+ * @param[in,out] pIn pointer to input buffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @param[in] guard_bits guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+ uint32_t numSamples,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+ }
+}
+
+/**
+ * @brief Calculates pow(2, numShifts)
+ * @param[in] numShifts number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+ uint32_t i, val = 1;
+
+ for (i = 0; i < numShifts; i++)
+ {
+ val = val * 2;
+ }
+
+ return(val);
+}
+
+
+
+/**
+ * @brief Converts float to fixed q14
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 16384.0f corresponds to pow(2, 14) */
+ pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFF;
+ }
+
+ }
+
+}
+
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 4.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+
+/**
+ * @brief Converts float to fixed q28 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 268435456.0f corresponds to pow(2, 28) */
+ pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 8.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Clip the float values to +/- 1
+ * @param[in,out] pIn input buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ if (pIn[i] > 1.0f)
+ {
+ pIn[i] = 1.0;
+ }
+ else if ( pIn[i] < -1.0f)
+ {
+ pIn[i] = -1.0;
+ }
+
+ }
+}
+
+
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.h b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.h
+*
+* Description: Prototypes of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize);
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_data.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_data.c
new file mode 100644
index 0000000..309326e
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_data.c
@@ -0,0 +1,23616 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_linear_interp_data.c
+*
+* Description: Data file used for example. Generation method described
+* below
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+* Table generated from following MATLAB Command
+* x = -pi: 0.00005 : (2*pi - 0.00005);
+* y = sin(x);
+* where pi value is 3.141592653589793
+* --------------------------------------------------------------------*/
+
+float arm_linear_interep_table[188495] = {
+
+
+-0.000000000000000122, -0.000049999999979173, -0.000099999999833667, -0.000149999999437717, -0.000199999998666767, -0.000249999997395817, -0.000299999995500311, -0.000349999992854362,
+-0.000399999989333412, -0.000449999984812462, -0.000499999979166956, -0.000549999972271007, -0.000599999964000057, -0.000649999954229107, -0.000699999942833602, -0.000749999929687653,
+-0.000799999914666704, -0.000849999897645755, -0.000899999878500250, -0.000949999857104302, -0.000999999833333354, -0.001049999807062851, -0.001099999778166904, -0.001149999746520957,
+-0.001199999712000011, -0.001249999674479510, -0.001299999633833566, -0.001349999589937622, -0.001399999542666680, -0.001449999491896183, -0.001499999437500243, -0.001549999379354304,
+-0.001599999317333367, -0.001649999251312876, -0.001699999181166942, -0.001749999106771011, -0.001799999028000082, -0.001849998944729599, -0.001899998856833675, -0.001949998764187754,
+-0.001999998666666836, -0.002049998564146365, -0.002099998456500453, -0.002149998343604546, -0.002199998225334087, -0.002249998101563188, -0.002299997972167294, -0.002349997837021405,
+-0.002399997696000966, -0.002449997548980088, -0.002499997395834216, -0.002549997236438351, -0.002599997070667937, -0.002649996898397086, -0.002699996719501243, -0.002749996533855408,
+-0.002799996341335026, -0.002849996141814208, -0.002899995935168401, -0.002949995721272604, -0.002999995500002261, -0.003049995271231486, -0.003099995034835722, -0.003149994790690415,
+-0.003199994538669677, -0.003249994278648952, -0.003299994010503243, -0.003349993734107991, -0.003399993449337312, -0.003449993156066649, -0.003499992854171003, -0.003549992543525819,
+-0.003599992224005209, -0.003649991895484619, -0.003699991557839049, -0.003749991210943944, -0.003799990854673418, -0.003849990488902914, -0.003899990113507434, -0.003949989728362423,
+-0.003999989333341993, -0.004049988928321590, -0.004099988513176658, -0.004149988087781312, -0.004199987652010995, -0.004249987205740709, -0.004299986748845899, -0.004349986281200678,
+-0.004399985802680492, -0.004449985313160341, -0.004499984812515671, -0.004549984300620594, -0.004599983777350557, -0.004649983242580561, -0.004699982696186050, -0.004749982138041138,
+-0.004799981568021272, -0.004849980986001451, -0.004899980391857122, -0.004949979785462398, -0.004999979166692725, -0.005049978535423547, -0.005099977891528979, -0.005149977234884466,
+-0.005199976565365011, -0.005249975882846058, -0.005299975187201721, -0.005349974478307446, -0.005399973756038235, -0.005449973020269535, -0.005499972270875456, -0.005549971507731448,
+-0.005599970730712511, -0.005649969939694091, -0.005699969134550302, -0.005749968315156590, -0.005799967481387958, -0.005849966633119851, -0.005899965770226383, -0.005949964892583000,
+-0.005999964000064706, -0.006049963092546945, -0.006099962169903833, -0.006149961232010816, -0.006199960278743339, -0.006249959309975518, -0.006299958325582797, -0.006349957325440182,
+-0.006399956309423117, -0.006449955277405718, -0.006499954229263430, -0.006549953164871257, -0.006599952084104644, -0.006649950986837708, -0.006699949872945895, -0.006749948742304206,
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+-0.007199937792161461, -0.007249936487146187, -0.007299935164006074, -0.007349933822616566, -0.007399932462851779, -0.007449931084587162, -0.007499929687697716, -0.007549928272058891,
+-0.007599926837544801, -0.007649925384030893, -0.007699923911392173, -0.007749922419504085, -0.007799920908240749, -0.007849919377477610, -0.007899917827089672, -0.007949916256952384,
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+-0.009199870219215898, -0.009249868091710479, -0.009299865941079948, -0.009349863767199750, -0.009399861569944894, -0.009449859349190827, -0.009499857104811669, -0.009549854836682867,
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+};
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_example_f32.c
new file mode 100644
index 0000000..87908ed
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_example_f32.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_linear_interp_example_f32.c
+*
+* Description: Example code demonstrating usage of sin function
+* and uses linear interpolation to get higher precision
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup LinearInterpExample Linear Interpolate Example
+ *
+ * <b> CMSIS DSP Software Library -- Linear Interpolate Example </b>
+ *
+ * <b> Description </b>
+ * This example demonstrates usage of linear interpolate modules and fast math modules.
+ * Method 1 uses fast math sine function to calculate sine values using cubic interpolation and method 2 uses
+ * linear interpolation function and results are compared to reference output.
+ * Example shows linear interpolation function can be used to get higher precision compared to fast math sin calculation.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html linearInterpExampleMethod1.gif "Method 1: Sine caluclation using fast math"
+ * \par
+ * \image html linearInterpExampleMethod2.gif "Method 2: Sine caluclation using interpolation function"
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputSin_f32 points to the input values for sine calculation
+ * \li \c testRefSinOutput32_f32 points to the reference values caculated from sin() matlab function
+ * \li \c testOutput points to output buffer calculation from cubic interpolation
+ * \li \c testLinIntOutput points to output buffer calculation from linear interpolation
+ * \li \c snr1 Signal to noise ratio for reference and cubic interpolation output
+ * \li \c snr2 Signal to noise ratio for reference and linear interpolation output
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_sin_f32()
+ * - arm_linear_interp_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_linear_interp_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_linear_interp_example_f32.c
+ */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#define SNR_THRESHOLD 90
+#define TEST_LENGTH_SAMPLES 10
+#define XSPACING (0.00005f)
+
+/* ----------------------------------------------------------------------
+* Test input data for F32 SIN function
+* Generated by the MATLAB rand() function
+* randn('state', 0)
+* xi = (((1/4.18318581819710)* randn(blockSize, 1) * 2* pi));
+* --------------------------------------------------------------------*/
+float32_t testInputSin_f32[TEST_LENGTH_SAMPLES] =
+{
+ -0.649716504673081170, -2.501723745497831200,
+ 0.188250329003310100, 0.432092748487532540,
+ -1.722010988459680800, 1.788766476323060600,
+ 1.786136060975809500, -0.056525543169408797,
+ 0.491596272728153760, 0.262309671126153390
+};
+
+/*------------------------------------------------------------------------------
+* Reference out of SIN F32 function for Block Size = 10
+* Calculated from sin(testInputSin_f32)
+*------------------------------------------------------------------------------*/
+float32_t testRefSinOutput32_f32[TEST_LENGTH_SAMPLES] =
+{
+ -0.604960695383043530, -0.597090287967934840,
+ 0.187140422442966500, 0.418772124875992690,
+ -0.988588831792106880, 0.976338412038794010,
+ 0.976903856413481100, -0.056495446835214236,
+ 0.472033731854734240, 0.259311907228582830
+};
+
+/*------------------------------------------------------------------------------
+* Method 1: Test out Buffer Calculated from Cubic Interpolation
+*------------------------------------------------------------------------------*/
+float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+/*------------------------------------------------------------------------------
+* Method 2: Test out buffer Calculated from Linear Interpolation
+*------------------------------------------------------------------------------*/
+float32_t testLinIntOutput[TEST_LENGTH_SAMPLES];
+
+/*------------------------------------------------------------------------------
+* External table used for linear interpolation
+*------------------------------------------------------------------------------*/
+extern float arm_linear_interep_table[188495];
+
+/* ----------------------------------------------------------------------
+* Global Variables for caluclating SNR's for Method1 & Method 2
+* ------------------------------------------------------------------- */
+float32_t snr1;
+float32_t snr2;
+
+/* ----------------------------------------------------------------------------
+* Calculation of Sine values from Cubic Interpolation and Linear interpolation
+* ---------------------------------------------------------------------------- */
+int32_t main(void)
+{
+ uint32_t i;
+ arm_status status;
+
+ arm_linear_interp_instance_f32 S = {188495, -3.141592653589793238, XSPACING, &arm_linear_interep_table[0]};
+
+ /*------------------------------------------------------------------------------
+ * Method 1: Test out Calculated from Cubic Interpolation
+ *------------------------------------------------------------------------------*/
+ for(i=0; i< TEST_LENGTH_SAMPLES; i++)
+ {
+ testOutput[i] = arm_sin_f32(testInputSin_f32[i]);
+ }
+
+ /*------------------------------------------------------------------------------
+ * Method 2: Test out Calculated from Cubic Interpolation and Linear interpolation
+ *------------------------------------------------------------------------------*/
+
+ for(i=0; i< TEST_LENGTH_SAMPLES; i++)
+ {
+ testLinIntOutput[i] = arm_linear_interp_f32(&S, testInputSin_f32[i]);
+ }
+
+ /*------------------------------------------------------------------------------
+ * SNR calculation for method 1
+ *------------------------------------------------------------------------------*/
+ snr1 = arm_snr_f32(testRefSinOutput32_f32, testOutput, 2);
+
+ /*------------------------------------------------------------------------------
+ * SNR calculation for method 2
+ *------------------------------------------------------------------------------*/
+ snr2 = arm_snr_f32(testRefSinOutput32_f32, testLinIntOutput, 2);
+
+ /*------------------------------------------------------------------------------
+ * Initialise status depending on SNR calculations
+ *------------------------------------------------------------------------------*/
+ if ( snr2 > snr1)
+ {
+ status = ARM_MATH_SUCCESS;
+ }
+ else
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+ /* ----------------------------------------------------------------------
+ ** Loop here if the signals fail the PASS check.
+ ** This denotes a test failure
+ ** ------------------------------------------------------------------- */
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0 b
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.c
+*
+* Description: Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+* Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+* Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief Caluclation of SNR
+ * @param[in] pRef Pointer to the reference buffer
+ * @param[in] pTest Pointer to the test buffer
+ * @param[in] buffSize total number of samples
+ * @return SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+ float EnergySignal = 0.0, EnergyError = 0.0;
+ uint32_t i;
+ float SNR;
+ int temp;
+ int *test;
+
+ for (i = 0; i < buffSize; i++)
+ {
+ /* Checking for a NAN value in pRef array */
+ test = (int *)(&pRef[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+ /* Checking for a NAN value in pTest array */
+ test = (int *)(&pTest[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+ EnergySignal += pRef[i] * pRef[i];
+ EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+ }
+
+ /* Checking for a NAN value in EnergyError */
+ test = (int *)(&EnergyError);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+
+ SNR = 10 * log10 (EnergySignal / EnergyError);
+
+ return (SNR);
+
+}
+
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Converts float to fixed in q12.20 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to outputbuffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1048576.0f corresponds to pow(2, 20) */
+ pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 1.0)
+ {
+ pOut[i] = 0x000FFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+
+
+/**
+ * @brief Caluclates number of guard bits
+ * @param[in] num_adds number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+ uint32_t i = 1, j = 0;
+
+ if (num_adds == 1)
+ {
+ return (0);
+ }
+
+ while (i < num_adds)
+ {
+ i = i * 2;
+ j++;
+ }
+
+ return (j);
+}
+
+/**
+ * @brief Apply guard bits to buffer
+ * @param[in,out] pIn pointer to input buffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @param[in] guard_bits guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+ uint32_t numSamples,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+ }
+}
+
+/**
+ * @brief Calculates pow(2, numShifts)
+ * @param[in] numShifts number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+ uint32_t i, val = 1;
+
+ for (i = 0; i < numShifts; i++)
+ {
+ val = val * 2;
+ }
+
+ return(val);
+}
+
+
+
+/**
+ * @brief Converts float to fixed q14
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 16384.0f corresponds to pow(2, 14) */
+ pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFF;
+ }
+
+ }
+
+}
+
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 4.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+
+/**
+ * @brief Converts float to fixed q28 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 268435456.0f corresponds to pow(2, 28) */
+ pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 8.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Clip the float values to +/- 1
+ * @param[in,out] pIn input buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ if (pIn[i] > 1.0f)
+ {
+ pIn[i] = 1.0;
+ }
+ else if ( pIn[i] < -1.0f)
+ {
+ pIn[i] = -1.0;
+ }
+
+ }
+}
+
+
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.h b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.h
+*
+* Description: Prototypes of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize);
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c
new file mode 100644
index 0000000..3d7a505
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_matrix_example_f32.c
+*
+* Description: Example code demonstrating least square fit to data
+* using matrix functions
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup MatrixExample Matrix Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of Matrix Transpose, Matrix Muliplication, and Matrix Inverse
+ * functions to apply least squares fitting to input data. Least squares fitting is
+ * the procedure for finding the best-fitting curve that minimizes the sum of the
+ * squares of the offsets (least square error) from a given set of data.
+ *
+ * \par Algorithm:
+ * \par
+ * The linear combination of parameters considered is as follows:
+ * \par
+ * <code>A * X = B</code>, where \c X is the unknown value and can be estimated
+ * from \c A & \c B.
+ * \par
+ * The least squares estimate \c X is given by the following equation:
+ * \par
+ * <code>X = Inverse(A<sup>T</sup> * A) * A<sup>T</sup> * B</code>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html matrixExample.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c A_f32 input matrix in the linear combination equation
+ * \li \c B_f32 output matrix in the linear combination equation
+ * \li \c X_f32 unknown matrix estimated using \c A_f32 & \c B_f32 matrices
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_trans_f32()
+ * - arm_mat_mult_f32()
+ * - arm_mat_inverse_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_matrix_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_matrix_example_f32.c
+ */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#define SNR_THRESHOLD 90
+
+/* --------------------------------------------------------------------------------
+* Test input data(Cycles) taken from FIR Q15 module for differant cases of blockSize
+* and tapSize
+* --------------------------------------------------------------------------------- */
+
+const float32_t B_f32[4] =
+{
+ 782.0, 7577.0, 470.0, 4505.0
+};
+
+/* --------------------------------------------------------------------------------
+* Formula to fit is C1 + C2 * numTaps + C3 * blockSize + C4 * numTaps * blockSize
+* -------------------------------------------------------------------------------- */
+
+const float32_t A_f32[16] =
+{
+ /* Const, numTaps, blockSize, numTaps*blockSize */
+ 1.0, 32.0, 4.0, 128.0,
+ 1.0, 32.0, 64.0, 2048.0,
+ 1.0, 16.0, 4.0, 64.0,
+ 1.0, 16.0, 64.0, 1024.0,
+};
+
+
+/* ----------------------------------------------------------------------
+* Temporary buffers for storing intermediate values
+* ------------------------------------------------------------------- */
+/* Transpose of A Buffer */
+float32_t AT_f32[16];
+/* (Transpose of A * A) Buffer */
+float32_t ATMA_f32[16];
+/* Inverse(Transpose of A * A) Buffer */
+float32_t ATMAI_f32[16];
+/* Test Output Buffer */
+float32_t X_f32[4];
+
+/* ----------------------------------------------------------------------
+* Reference ouput buffer C1, C2, C3 and C4 taken from MATLAB
+* ------------------------------------------------------------------- */
+const float32_t xRef_f32[4] = {73.0, 8.0, 21.25, 2.875};
+
+float32_t snr;
+
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+
+ arm_matrix_instance_f32 A; /* Matrix A Instance */
+ arm_matrix_instance_f32 AT; /* Matrix AT(A transpose) instance */
+ arm_matrix_instance_f32 ATMA; /* Matrix ATMA( AT multiply with A) instance */
+ arm_matrix_instance_f32 ATMAI; /* Matrix ATMAI(Inverse of ATMA) instance */
+ arm_matrix_instance_f32 B; /* Matrix B instance */
+ arm_matrix_instance_f32 X; /* Matrix X(Unknown Matrix) instance */
+
+ uint32_t srcRows, srcColumns; /* Temporary variables */
+ arm_status status;
+
+ /* Initialise A Matrix Instance with numRows, numCols and data array(A_f32) */
+ srcRows = 4;
+ srcColumns = 4;
+ arm_mat_init_f32(&A, srcRows, srcColumns, (float32_t *)A_f32);
+
+ /* Initialise Matrix Instance AT with numRows, numCols and data array(AT_f32) */
+ srcRows = 4;
+ srcColumns = 4;
+ arm_mat_init_f32(&AT, srcRows, srcColumns, AT_f32);
+
+ /* calculation of A transpose */
+ status = arm_mat_trans_f32(&A, &AT);
+
+
+ /* Initialise ATMA Matrix Instance with numRows, numCols and data array(ATMA_f32) */
+ srcRows = 4;
+ srcColumns = 4;
+ arm_mat_init_f32(&ATMA, srcRows, srcColumns, ATMA_f32);
+
+ /* calculation of AT Multiply with A */
+ status = arm_mat_mult_f32(&AT, &A, &ATMA);
+
+ /* Initialise ATMAI Matrix Instance with numRows, numCols and data array(ATMAI_f32) */
+ srcRows = 4;
+ srcColumns = 4;
+ arm_mat_init_f32(&ATMAI, srcRows, srcColumns, ATMAI_f32);
+
+ /* calculation of Inverse((Transpose(A) * A) */
+ status = arm_mat_inverse_f32(&ATMA, &ATMAI);
+
+ /* calculation of (Inverse((Transpose(A) * A)) * Transpose(A)) */
+ status = arm_mat_mult_f32(&ATMAI, &AT, &ATMA);
+
+ /* Initialise B Matrix Instance with numRows, numCols and data array(B_f32) */
+ srcRows = 4;
+ srcColumns = 1;
+ arm_mat_init_f32(&B, srcRows, srcColumns, (float32_t *)B_f32);
+
+ /* Initialise X Matrix Instance with numRows, numCols and data array(X_f32) */
+ srcRows = 4;
+ srcColumns = 1;
+ arm_mat_init_f32(&X, srcRows, srcColumns, X_f32);
+
+ /* calculation ((Inverse((Transpose(A) * A)) * Transpose(A)) * B) */
+ status = arm_mat_mult_f32(&ATMA, &B, &X);
+
+ /* Comparison of reference with test output */
+ snr = arm_snr_f32((float32_t *)xRef_f32, X_f32, 4);
+
+ /*------------------------------------------------------------------------------
+ * Initialise status depending on SNR calculations
+ *------------------------------------------------------------------------------*/
+ if ( snr > SNR_THRESHOLD)
+ {
+ status = ARM_MATH_SUCCESS;
+ }
+ else
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+
+ /* ----------------------------------------------------------------------
+ ** Loop here if the signals fail the PASS check.
+ ** This denotes a test failure
+ ** ------------------------------------------------------------------- */
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0 b
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.c
+*
+* Description: Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+* Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+* Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief Caluclation of SNR
+ * @param[in] pRef Pointer to the reference buffer
+ * @param[in] pTest Pointer to the test buffer
+ * @param[in] buffSize total number of samples
+ * @return SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+ float EnergySignal = 0.0, EnergyError = 0.0;
+ uint32_t i;
+ float SNR;
+ int temp;
+ int *test;
+
+ for (i = 0; i < buffSize; i++)
+ {
+ /* Checking for a NAN value in pRef array */
+ test = (int *)(&pRef[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+ /* Checking for a NAN value in pTest array */
+ test = (int *)(&pTest[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+ EnergySignal += pRef[i] * pRef[i];
+ EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+ }
+
+ /* Checking for a NAN value in EnergyError */
+ test = (int *)(&EnergyError);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+
+ SNR = 10 * log10 (EnergySignal / EnergyError);
+
+ return (SNR);
+
+}
+
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Converts float to fixed in q12.20 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to outputbuffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1048576.0f corresponds to pow(2, 20) */
+ pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 1.0)
+ {
+ pOut[i] = 0x000FFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+
+
+/**
+ * @brief Caluclates number of guard bits
+ * @param[in] num_adds number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+ uint32_t i = 1, j = 0;
+
+ if (num_adds == 1)
+ {
+ return (0);
+ }
+
+ while (i < num_adds)
+ {
+ i = i * 2;
+ j++;
+ }
+
+ return (j);
+}
+
+/**
+ * @brief Apply guard bits to buffer
+ * @param[in,out] pIn pointer to input buffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @param[in] guard_bits guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+ uint32_t numSamples,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+ }
+}
+
+/**
+ * @brief Calculates pow(2, numShifts)
+ * @param[in] numShifts number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+ uint32_t i, val = 1;
+
+ for (i = 0; i < numShifts; i++)
+ {
+ val = val * 2;
+ }
+
+ return(val);
+}
+
+
+
+/**
+ * @brief Converts float to fixed q14
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 16384.0f corresponds to pow(2, 14) */
+ pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFF;
+ }
+
+ }
+
+}
+
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 4.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+
+/**
+ * @brief Converts float to fixed q28 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 268435456.0f corresponds to pow(2, 28) */
+ pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 8.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Clip the float values to +/- 1
+ * @param[in,out] pIn input buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ if (pIn[i] > 1.0f)
+ {
+ pIn[i] = 1.0;
+ }
+ else if ( pIn[i] < -1.0f)
+ {
+ pIn[i] = -1.0;
+ }
+
+ }
+}
+
+
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.h
+*
+* Description: Prototypes of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize);
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_data.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_data.c
new file mode 100644
index 0000000..3a2337d
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_data.c
@@ -0,0 +1,269 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_signal_converge_data.c
+*
+* Description: Test input data for Floating point LMS Norm FIR filter
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+** Test input data for Floating point LMS Norm FIR filter
+** Generated by the MATLAB randn() function
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32[1536] =
+{
+-0.432565, -1.665584, 0.125332, 0.287676, -1.146471, 1.190915, 1.189164, -0.037633,
+0.327292, 0.174639, -0.186709, 0.725791, -0.588317, 2.183186, -0.136396, 0.113931,
+1.066768, 0.059281, -0.095648, -0.832349, 0.294411, -1.336182, 0.714325, 1.623562,
+-0.691776, 0.857997, 1.254001, -1.593730, -1.440964, 0.571148, -0.399886, 0.689997,
+0.815622, 0.711908, 1.290250, 0.668601, 1.190838, -1.202457, -0.019790, -0.156717,
+-1.604086, 0.257304, -1.056473, 1.415141, -0.805090, 0.528743, 0.219321, -0.921902,
+-2.170674, -0.059188, -1.010634, 0.614463, 0.507741, 1.692430, 0.591283, -0.643595,
+0.380337, -1.009116, -0.019511, -0.048221, 0.000043, -0.317859, 1.095004, -1.873990,
+0.428183, 0.895638, 0.730957, 0.577857, 0.040314, 0.677089, 0.568900, -0.255645,
+-0.377469, -0.295887, -1.475135, -0.234004, 0.118445, 0.314809, 1.443508, -0.350975,
+0.623234, 0.799049, 0.940890, -0.992092, 0.212035, 0.237882, -1.007763, -0.742045,
+1.082295, -0.131500, 0.389880, 0.087987, -0.635465, -0.559573, 0.443653, -0.949904,
+0.781182, 0.568961, -0.821714, -0.265607, -1.187777, -2.202321, 0.986337, -0.518635,
+0.327368, 0.234057, 0.021466, -1.003944, -0.947146, -0.374429, -1.185886, -1.055903,
+1.472480, 0.055744, -1.217317, -0.041227, -1.128344, -1.349278, -0.261102, 0.953465,
+0.128644, 0.656468, -1.167819, -0.460605, -0.262440, -1.213152, -1.319437, 0.931218,
+0.011245, -0.645146, 0.805729, 0.231626, -0.989760, 1.339586, 0.289502, 1.478917,
+1.138028, -0.684139, -1.291936, -0.072926, -0.330599, -0.843628, 0.497770, 1.488490,
+-0.546476, -0.846758, -0.246337, 0.663024, -0.854197, -1.201315, -0.119869, -0.065294,
+0.485296, -0.595491, -0.149668, -0.434752, -0.079330, 1.535152, -0.606483, -1.347363,
+0.469383, -0.903567, 0.035880, -0.627531, 0.535398, 0.552884, -0.203690, -2.054325,
+0.132561, 1.592941, 1.018412, -1.580402, -0.078662, -0.681657, -1.024553, -1.234353,
+0.288807, -0.429303, 0.055801, -0.367874, -0.464973, 0.370961, 0.728283, 2.112160,
+-1.357298, -1.022610, 1.037834, -0.389800, -1.381266, 0.315543, 1.553243, 0.707894,
+1.957385, 0.504542, 1.864529, -0.339812, -1.139779, -0.211123, 1.190245, -1.116209,
+0.635274, -0.601412, 0.551185, -1.099840, 0.085991, -2.004563, -0.493088, 0.462048,
+-0.321005, 1.236556, -0.631280, -2.325211, -1.231637, 1.055648, -0.113224, 0.379224,
+0.944200, -2.120427, -0.644679, -0.704302, -1.018137, -0.182082, 1.521013, -0.038439,
+1.227448, -0.696205, 0.007524, -0.782893, 0.586939, -0.251207, 0.480136, 0.668155,
+-0.078321, 0.889173, 2.309287, 0.524639, -0.011787, 0.913141, 0.055941, -1.107070,
+0.485498, -0.005005, -0.276218, 1.276452, 1.863401, -0.522559, 0.103424, -0.807649,
+0.680439, -2.364590, 0.990115, 0.218899, 0.261662, 1.213444, -0.274667, -0.133134,
+-1.270500, -1.663606, -0.703554, 0.280880, -0.541209, -1.333531, 1.072686, -0.712085,
+-0.011286, -0.000817, -0.249436, 0.396575, -0.264013, -1.664011, -1.028975, 0.243095,
+-1.256590, -0.347183, -0.941372, -1.174560, -1.021142, -0.401667, 0.173666, -0.116118,
+1.064119, -0.245386, -1.517539, 0.009734, 0.071373, 0.316536, 0.499826, 1.278084,
+-0.547816, 0.260808, -0.013177, -0.580264, 2.136308, -0.257617, -1.409528, 1.770101,
+0.325546, -1.119040, 0.620350, 1.269782, -0.896043, 0.135175, -0.139040, -1.163395,
+1.183720, -0.015430, 0.536219, -0.716429, -0.655559, 0.314363, 0.106814, 1.848216,
+-0.275106, 2.212554, 1.508526, -1.945079, -1.680543, -0.573534, -0.185817, 0.008934,
+0.836950, -0.722271, -0.721490, -0.201181, -0.020464, 0.278890, 1.058295, 0.621673,
+-1.750615, 0.697348, 0.811486, 0.636345, 1.310080, 0.327098, -0.672993, -0.149327,
+-2.449018, 0.473286, 0.116946, -0.591104, -0.654708, -1.080662, -0.047731, 0.379345,
+-0.330361, -0.499898, -0.035979, -0.174760, -0.957265, 1.292548, 0.440910, 1.280941,
+-0.497730, -1.118717, 0.807650, 0.041200, -0.756209, -0.089129, -2.008850, 1.083918,
+-0.981191, -0.688489, 1.339479, -0.909243, -0.412858, -0.506163, 1.619748, 0.080901,
+-1.081056, -1.124518, 1.735676, 1.937459, 1.635068, -1.255940, -0.213538, -0.198932,
+0.307499, -0.572325, -0.977648, -0.446809, 1.082092, 2.372648, 0.229288, -0.266623,
+0.701672, -0.487590, 1.862480, 1.106851, -1.227566, -0.669885, 1.340929, 0.388083,
+0.393059, -1.707334, 0.227859, 0.685633, -0.636790, -1.002606, -0.185621, -1.054033,
+-0.071539, 0.279198, 1.373275, 0.179841, -0.542017, 1.634191, 0.825215, 0.230761,
+0.671634, -0.508078, 0.856352, 0.268503, 0.624975, -1.047338, 1.535670, 0.434426,
+-1.917136, 0.469940, 1.274351, 0.638542, 1.380782, 1.319843, -0.909429, -2.305605,
+1.788730, 0.390798, 0.020324, -0.405977, -1.534895, 0.221373, -1.374479, -0.839286,
+-0.208643, 0.755913, 0.375734, -1.345413, 1.481876, 0.032736, 1.870453, -1.208991,
+-0.782632, -0.767299, -0.107200, -0.977057, -0.963988, -2.379172, -0.838188, 0.257346,
+-0.183834, -0.167615, -0.116989, 0.168488, -0.501206, -0.705076, 0.508165, -0.420922,
+0.229133, -0.959497, -0.146043, 0.744538, -0.890496, 0.139062, -0.236144, -0.075459,
+-0.358572, -2.077635, -0.143546, 1.393341, 0.651804, -0.377134, -0.661443, 0.248958,
+-0.383516, -0.528480, 0.055388, 1.253769, -2.520004, 0.584856, -1.008064, 0.944285,
+-2.423957, -0.223831, 0.058070, -0.424614, -0.202918, -1.513077, -1.126352, -0.815002,
+0.366614, -0.586107, 1.537409, 0.140072, -1.862767, -0.454193, -0.652074, 0.103318,
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+-1.437917, -1.534230, -0.074710, 0.081459, -0.843240, -0.564640, -0.028207, -1.243702,
+0.733039, 0.059580, 0.149144, 1.595857, -0.777250, 1.550277, 1.055002, -0.166654,
+0.314484, 1.419571, 0.327348, 0.475653, 0.398754, -0.072770, 1.314784, 0.978279,
+1.722114, -0.412302, 0.565133, 0.739851, 0.220138, 1.312807, 0.629152, -1.107987,
+-0.447001, -0.725993, 0.354045, -0.506772, -2.103747, -0.664684, 1.450110, -0.329805,
+2.701872, -1.634939, -0.536325, 0.547223, 1.492603, -0.455243, -0.496416, 1.235260,
+0.040926, 0.748467, 1.230764, 0.304903, 1.077771, 0.765151, -1.319580, -0.509191,
+0.555116, -1.957625, -0.760453, -2.443886, -0.659366, -0.114779, 0.300079, -0.583996,
+-3.073745, 1.551042, -0.407369, 1.428095, -1.353242, 0.903970, 0.541671, -0.465020
+};
+
+
+
+/* ----------------------------------------------------------------------
+** Coefficients for 32-tap filter for Floating point LMS FIR filter
+* FIR high pass filter with cutoff freq 9.6kHz (transition 9.6KHz to 11.52KHz)
+** ------------------------------------------------------------------- */
+float32_t lmsNormCoeff_f32[32] = {
+-0.004240, 0.002301, 0.008860, -0.000000, -0.019782, -0.010543, 0.032881, 0.034736,
+-0.037374, -0.069586, 0.022397, 0.102169, 0.014185, -0.115908, -0.061648, 0.101018,
+0.101018, -0.061648, -0.115908, 0.014185, 0.102169, 0.022397, -0.069586, -0.037374,
+0.034736, 0.032881, -0.010543, -0.019782, -0.000000, 0.008860, 0.002301, -0.004240
+
+};
+
+/* ----------------------------------------------------------------------
+** Coefficients for 32-tap filter for Floating point FIR filter
+* FIR low pass filter with cutoff freq 24Hz (transition 24Hz to 240Hz)
+** ------------------------------------------------------------------- */
+const float32_t FIRCoeff_f32[32] = {
+0.004502, 0.005074, 0.006707, 0.009356, 0.012933, 0.017303, 0.022298, 0.027717,
+0.033338, 0.038930, 0.044258, 0.049098, 0.053243, 0.056519, 0.058784, 0.059941,
+0.059941, 0.058784, 0.056519, 0.053243, 0.049098, 0.044258, 0.038930, 0.033338,
+0.027717, 0.022298, 0.017303, 0.012933, 0.009356, 0.006707, 0.005074, 0.004502
+
+};
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_example_f32.c
new file mode 100644
index 0000000..d984e2f
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_example_f32.c
@@ -0,0 +1,259 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_signal_converge_example_f32.c
+*
+* Description: Example code demonstrating convergence of an adaptive
+* filter.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup SignalConvergence Signal Convergence Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the ability of an adaptive filter to "learn" the transfer function of
+ * a FIR lowpass filter using the Normalized LMS Filter, Finite Impulse
+ * Response (FIR) Filter, and Basic Math Functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The figure below illustrates the signal flow in this example. Uniformly distributed white
+ * noise is passed through an FIR lowpass filter. The output of the FIR filter serves as the
+ * reference input of the adaptive filter (normalized LMS filter). The white noise is input
+ * to the adaptive filter. The adaptive filter learns the transfer function of the FIR filter.
+ * The filter outputs two signals: (1) the output of the internal adaptive FIR filter, and
+ * (2) the error signal which is the difference between the adaptive filter and the reference
+ * output of the FIR filter. Over time as the adaptive filter learns the transfer function
+ * of the FIR filter, the first output approaches the reference output of the FIR filter,
+ * and the error signal approaches zero.
+ * \par
+ * The adaptive filter converges properly even if the input signal has a large dynamic
+ * range (i.e., varies from small to large values). The coefficients of the adaptive filter
+ * are initially zero, and then converge over 1536 samples. The internal function test_signal_converge()
+ * implements the stopping condition. The function checks if all of the values of the error signal have a
+ * magnitude below a threshold DELTA.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html SignalFlow.gif
+ *
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c firStateF32 points to FIR state buffer
+ * \li \c lmsStateF32 points to Normalised Least mean square FIR filter state buffer
+ * \li \c FIRCoeff_f32 points to coefficient buffer
+ * \li \c lmsNormCoeff_f32 points to Normalised Least mean square FIR filter coefficient buffer
+ * \li \c wire1, wir2, wire3 temporary buffers
+ * \li \c errOutput, err_signal temporary error buffers
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_lms_norm_init_f32()
+ * - arm_fir_init_f32()
+ * - arm_fir_f32()
+ * - arm_lms_norm_f32()
+ * - arm_scale_f32()
+ * - arm_abs_f32()
+ * - arm_sub_f32()
+ * - arm_min_f32()
+ * - arm_copy_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_signal_converge_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_signal_converge_example_f32.c
+ */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+** Global defines for the simulation
+* ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES 1536
+#define NUMTAPS 32
+#define BLOCKSIZE 32
+#define DELTA_ERROR 0.000001f
+#define DELTA_COEFF 0.0001f
+#define MU 0.5f
+
+#define NUMFRAMES (TEST_LENGTH_SAMPLES / BLOCKSIZE)
+
+/* ----------------------------------------------------------------------
+* Declare FIR state buffers and structure
+* ------------------------------------------------------------------- */
+
+float32_t firStateF32[NUMTAPS + BLOCKSIZE];
+arm_fir_instance_f32 LPF_instance;
+
+/* ----------------------------------------------------------------------
+* Declare LMSNorm state buffers and structure
+* ------------------------------------------------------------------- */
+
+float32_t lmsStateF32[NUMTAPS + BLOCKSIZE];
+float32_t errOutput[TEST_LENGTH_SAMPLES];
+arm_lms_norm_instance_f32 lmsNorm_instance;
+
+
+/* ----------------------------------------------------------------------
+* Function Declarations for Signal Convergence Example
+* ------------------------------------------------------------------- */
+
+arm_status test_signal_converge_example( void );
+
+
+/* ----------------------------------------------------------------------
+* Internal functions
+* ------------------------------------------------------------------- */
+arm_status test_signal_converge(float32_t* err_signal,
+ uint32_t blockSize);
+
+void getinput(float32_t* input,
+ uint32_t fr_cnt,
+ uint32_t blockSize);
+
+/* ----------------------------------------------------------------------
+* External Declarations for FIR F32 module Test
+* ------------------------------------------------------------------- */
+extern float32_t testInput_f32[TEST_LENGTH_SAMPLES];
+extern float32_t lmsNormCoeff_f32[32];
+extern const float32_t FIRCoeff_f32[32];
+extern arm_lms_norm_instance_f32 lmsNorm_instance;
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+
+float32_t wire1[BLOCKSIZE];
+float32_t wire2[BLOCKSIZE];
+float32_t wire3[BLOCKSIZE];
+float32_t err_signal[BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+* Signal converge test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+ uint32_t i;
+ arm_status status;
+ uint32_t index;
+ float32_t minValue;
+
+ /* Initialize the LMSNorm data structure */
+ arm_lms_norm_init_f32(&lmsNorm_instance, NUMTAPS, lmsNormCoeff_f32, lmsStateF32, MU, BLOCKSIZE);
+
+ /* Initialize the FIR data structure */
+ arm_fir_init_f32(&LPF_instance, NUMTAPS, (float32_t *)FIRCoeff_f32, firStateF32, BLOCKSIZE);
+
+ /* ----------------------------------------------------------------------
+ * Loop over the frames of data and execute each of the processing
+ * functions in the system.
+ * ------------------------------------------------------------------- */
+
+ for(i=0; i < NUMFRAMES; i++)
+ {
+ /* Read the input data - uniformly distributed random noise - into wire1 */
+ arm_copy_f32(testInput_f32 + (i * BLOCKSIZE), wire1, BLOCKSIZE);
+
+ /* Execute the FIR processing function. Input wire1 and output wire2 */
+ arm_fir_f32(&LPF_instance, wire1, wire2, BLOCKSIZE);
+
+ /* Execute the LMS Norm processing function*/
+
+ arm_lms_norm_f32(&lmsNorm_instance, /* LMSNorm instance */
+ wire1, /* Input signal */
+ wire2, /* Reference Signal */
+ wire3, /* Converged Signal */
+ err_signal, /* Error Signal, this will become small as the signal converges */
+ BLOCKSIZE); /* BlockSize */
+
+ /* apply overall gain */
+ arm_scale_f32(wire3, 5, wire3, BLOCKSIZE); /* in-place buffer */
+ }
+
+ status = ARM_MATH_SUCCESS;
+
+ /* -------------------------------------------------------------------------------
+ * Test whether the error signal has reached towards 0.
+ * ----------------------------------------------------------------------------- */
+
+ arm_abs_f32(err_signal, err_signal, BLOCKSIZE);
+ arm_min_f32(err_signal, BLOCKSIZE, &minValue, &index);
+
+ if (minValue > DELTA_ERROR)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+ /* ----------------------------------------------------------------------
+ * Test whether the filter coefficients have converged.
+ * ------------------------------------------------------------------- */
+
+ arm_sub_f32((float32_t *)FIRCoeff_f32, lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS);
+
+ arm_abs_f32(lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS);
+ arm_min_f32(lmsNormCoeff_f32, NUMTAPS, &minValue, &index);
+
+ if (minValue > DELTA_COEFF)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+ /* ----------------------------------------------------------------------
+ * Loop here if the signals did not pass the convergence check.
+ * This denotes a test failure
+ * ------------------------------------------------------------------- */
+
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0 b
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.c
+*
+* Description: Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+* Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+* Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief Caluclation of SNR
+ * @param[in] pRef Pointer to the reference buffer
+ * @param[in] pTest Pointer to the test buffer
+ * @param[in] buffSize total number of samples
+ * @return SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+ float EnergySignal = 0.0, EnergyError = 0.0;
+ uint32_t i;
+ float SNR;
+ int temp;
+ int *test;
+
+ for (i = 0; i < buffSize; i++)
+ {
+ /* Checking for a NAN value in pRef array */
+ test = (int *)(&pRef[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+ /* Checking for a NAN value in pTest array */
+ test = (int *)(&pTest[i]);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+ EnergySignal += pRef[i] * pRef[i];
+ EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+ }
+
+ /* Checking for a NAN value in EnergyError */
+ test = (int *)(&EnergyError);
+ temp = *test;
+
+ if (temp == 0x7FC00000)
+ {
+ return(0);
+ }
+
+
+ SNR = 10 * log10 (EnergySignal / EnergyError);
+
+ return (SNR);
+
+}
+
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Converts float to fixed in q12.20 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to outputbuffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1048576.0f corresponds to pow(2, 20) */
+ pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 1.0)
+ {
+ pOut[i] = 0x000FFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Compare MATLAB Reference Output and ARM Test output
+ * @param[in] pIn Pointer to Ref buffer
+ * @param[in] pOut Pointer to Test buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+ int32_t diff, diffCrnt = 0;
+ uint32_t maxDiff = 0;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ diff = pIn[i] - pOut[i];
+ diffCrnt = (diff > 0) ? diff : -diff;
+
+ if (diffCrnt > maxDiff)
+ {
+ maxDiff = diffCrnt;
+ }
+ }
+
+ return(maxDiff);
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+/**
+ * @brief Provide guard bits for Input buffer
+ * @param[in,out] input_buf Pointer to input buffer
+ * @param[in] blockSize block Size
+ * @param[in] guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+ uint32_t blockSize,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < blockSize; i++)
+ {
+ input_buf[i] = input_buf[i] >> guard_bits;
+ }
+}
+
+
+
+/**
+ * @brief Caluclates number of guard bits
+ * @param[in] num_adds number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+ uint32_t i = 1, j = 0;
+
+ if (num_adds == 1)
+ {
+ return (0);
+ }
+
+ while (i < num_adds)
+ {
+ i = i * 2;
+ j++;
+ }
+
+ return (j);
+}
+
+/**
+ * @brief Apply guard bits to buffer
+ * @param[in,out] pIn pointer to input buffer
+ * @param[in] numSamples number of samples in the input buffer
+ * @param[in] guard_bits guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+ uint32_t numSamples,
+ uint32_t guard_bits)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+ }
+}
+
+/**
+ * @brief Calculates pow(2, numShifts)
+ * @param[in] numShifts number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+ uint32_t i, val = 1;
+
+ for (i = 0; i < numShifts; i++)
+ {
+ val = val * 2;
+ }
+
+ return(val);
+}
+
+
+
+/**
+ * @brief Converts float to fixed q14
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 16384.0f corresponds to pow(2, 14) */
+ pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFF;
+ }
+
+ }
+
+}
+
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 2.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Converts float to fixed q30 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 1073741824.0f corresponds to pow(2, 30) */
+ pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 4.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+
+/**
+ * @brief Converts float to fixed q28 format
+ * @param[in] pIn pointer to input buffer
+ * @param[out] pOut pointer to output buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ /* 268435456.0f corresponds to pow(2, 28) */
+ pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+ pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+ if (pIn[i] == (float) 8.0)
+ {
+ pOut[i] = 0x7FFFFFFF;
+ }
+ }
+}
+
+/**
+ * @brief Clip the float values to +/- 1
+ * @param[in,out] pIn input buffer
+ * @param[in] numSamples number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+ uint32_t i;
+
+ for (i = 0; i < numSamples; i++)
+ {
+ if (pIn[i] > 1.0f)
+ {
+ pIn[i] = 1.0;
+ }
+ else if ( pIn[i] < -1.0f)
+ {
+ pIn[i] = -1.0;
+ }
+
+ }
+}
+
+
+
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.h b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+*
+* Title: math_helper.h
+*
+* Description: Prototypes of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize);
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/arm_sin_cos_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/arm_sin_cos_example_f32.c
new file mode 100644
index 0000000..7e2eb00
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/arm_sin_cos_example_f32.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 12. March 2014
+* $Revision: V1.4.3
+*
+* Project: CMSIS DSP Library
+* Title: arm_sin_cos_example_f32.c
+*
+* Description: Example code demonstrating sin and cos calculation of input signal.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup SinCosExample SineCosine Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the Pythagorean trignometric identity with the use of Cosine, Sine, Vector
+ * Multiplication, and Vector Addition functions.
+ *
+ * \par Algorithm:
+ * \par
+ * Mathematically, the Pythagorean trignometric identity is defined by the following equation:
+ * <pre>sin(x) * sin(x) + cos(x) * cos(x) = 1</pre>
+ * where \c x is the angle in radians.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html sinCos.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 array of input angle in radians
+ * \li \c testOutput stores sum of the squares of sine and cosine values of input angle
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_cos_f32()
+ * - arm_sin_f32()
+ * - arm_mult_f32()
+ * - arm_add_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_sin_cos_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_sin_cos_example_f32.c
+ */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE 32
+#define DELTA (0.0001f)
+
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point sin_cos example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+
+const float32_t testInput_f32[MAX_BLOCKSIZE] =
+{
+ -1.244916875853235400, -4.793533929171324800, 0.360705030233248850, 0.827929644170887320, -3.299532218312426900, 3.427441903227623800, 3.422401784294607700, -0.108308165334010680,
+ 0.941943896490312180, 0.502609575000365850, -0.537345278736373500, 2.088817392965764500, -1.693168684143455700, 6.283185307179590700, -0.392545884746175080, 0.327893095115825040,
+ 3.070147440456292300, 0.170611405884662230, -0.275275082396073010, -2.395492805446796300, 0.847311163536506600, -3.845517018083148800, 2.055818378415868300, 4.672594161978930800,
+ -1.990923030266425800, 2.469305197656249500, 3.609002606064021000, -4.586736582331667500, -4.147080139136136300, 1.643756718868359500, -1.150866392366494800, 1.985805026477433800
+
+
+};
+
+const float32_t testRefOutput_f32 = 1.000000000;
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t blockSize = 32;
+float32_t testOutput;
+float32_t cosOutput;
+float32_t sinOutput;
+float32_t cosSquareOutput;
+float32_t sinSquareOutput;
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+arm_status status;
+
+int32_t main(void)
+{
+ float32_t diff;
+ uint32_t i;
+
+ for(i=0; i< blockSize; i++)
+ {
+ cosOutput = arm_cos_f32(testInput_f32[i]);
+ sinOutput = arm_sin_f32(testInput_f32[i]);
+
+ arm_mult_f32(&cosOutput, &cosOutput, &cosSquareOutput, 1);
+ arm_mult_f32(&sinOutput, &sinOutput, &sinSquareOutput, 1);
+
+ arm_add_f32(&cosSquareOutput, &sinSquareOutput, &testOutput, 1);
+
+ /* absolute value of difference between ref and test */
+ diff = fabsf(testRefOutput_f32 - testOutput);
+
+ /* Comparison of sin_cos value with reference */
+ if (diff > DELTA)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+ if ( status == ARM_MATH_TEST_FAILURE)
+ {
+ while (1);
+ }
+
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/arm_variance_example_f32.c b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/arm_variance_example_f32.c
new file mode 100644
index 0000000..78a0681
--- /dev/null
+++ b/midi-dials/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/arm_variance_example_f32.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date: 17. January 2013
+* $Revision: V1.4.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_variance_example_f32.c
+*
+* Description: Example code demonstrating variance calculation of input sequence.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+* - Redistributions of source code must retain the above copyright
+* notice, this list of conditions and the following disclaimer.
+* - Redistributions in binary form must reproduce the above copyright
+* notice, this list of conditions and the following disclaimer in
+* the documentation and/or other materials provided with the
+* distribution.
+* - Neither the name of ARM LIMITED nor the names of its contributors
+* may be used to endorse or promote products derived from this
+* software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup VarianceExample Variance Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of Basic Math and Support Functions to calculate the variance of an
+ * input sequence with N samples. Uniformly distributed white noise is taken as input.
+ *
+ * \par Algorithm:
+ * \par
+ * The variance of a sequence is the mean of the squared deviation of the sequence from its mean.
+ * \par
+ * This is denoted by the following equation:
+ * <pre> variance = ((x[0] - x') * (x[0] - x') + (x[1] - x') * (x[1] - x') + ... + * (x[n-1] - x') * (x[n-1] - x')) / (N-1)</pre>
+ * where, <code>x[n]</code> is the input sequence, <code>N</code> is the number of input samples, and
+ * <code>x'</code> is the mean value of the input sequence, <code>x[n]</code>.
+ * \par
+ * The mean value <code>x'</code> is defined as:
+ * <pre> x' = (x[0] + x[1] + ... + x[n-1]) / N</pre>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Variance.gif
+ *
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c wire1, \c wir2, \c wire3 temporary buffers
+ * \li \c blockSize number of samples processed at a time
+ * \li \c refVarianceOut reference variance value
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_dot_prod_f32()
+ * - arm_mult_f32()
+ * - arm_sub_f32()
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ *
+ * <b> Refer </b>
+ * \link arm_variance_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_variance_example_f32.c
+ */
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE 32
+#define DELTA (0.000001f)
+
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+float32_t wire1[MAX_BLOCKSIZE];
+float32_t wire2[MAX_BLOCKSIZE];
+float32_t wire3[MAX_BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Variance example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+
+float32_t testInput_f32[32] =
+{
+ -0.432564811528221, -1.665584378238097, 0.125332306474831, 0.287676420358549,
+ -1.146471350681464, 1.190915465642999, 1.189164201652103, -0.037633276593318,
+ 0.327292361408654, 0.174639142820925, -0.186708577681439, 0.725790548293303,
+ -0.588316543014189, 2.183185818197101, -0.136395883086596, 0.113931313520810,
+ 1.066768211359189, 0.059281460523605, -0.095648405483669, -0.832349463650022,
+ 0.294410816392640, -1.336181857937804, 0.714324551818952, 1.623562064446271,
+ -0.691775701702287, 0.857996672828263, 1.254001421602532, -1.593729576447477,
+ -1.440964431901020, 0.571147623658178, -0.399885577715363, 0.689997375464345
+
+};
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t blockSize = 32;
+float32_t refVarianceOut = 0.903941793931839;
+
+/* ----------------------------------------------------------------------
+* Variance calculation test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+ arm_status status;
+ float32_t mean, oneByBlockSize;
+ float32_t variance;
+ float32_t diff;
+
+ status = ARM_MATH_SUCCESS;
+
+ /* Calculation of mean value of input */
+
+ /* x' = 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1) */
+
+ /* Fill wire1 buffer with 1.0 value */
+ arm_fill_f32(1.0, wire1, blockSize);
+
+ /* Calculate the dot product of wire1 and wire2 */
+ /* (x(0)* 1 + x(1) * 1 + ...+ x(n-1) * 1) */
+ arm_dot_prod_f32(testInput_f32, wire1, blockSize, &mean);
+
+ /* Calculation of 1/blockSize */
+ oneByBlockSize = 1.0 / (blockSize);
+
+ /* 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1) */
+ arm_mult_f32(&mean, &oneByBlockSize, &mean, 1);
+
+
+ /* Calculation of variance value of input */
+
+ /* (1/blockSize) * (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */
+
+ /* Fill wire2 with mean value x' */
+ arm_fill_f32(mean, wire2, blockSize);
+
+ /* wire3 contains (x-x') */
+ arm_sub_f32(testInput_f32, wire2, wire3, blockSize);
+
+ /* wire2 contains (x-x') */
+ arm_copy_f32(wire3, wire2, blockSize);
+
+ /* (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */
+ arm_dot_prod_f32(wire2, wire3, blockSize, &variance);
+
+ /* Calculation of 1/blockSize */
+ oneByBlockSize = 1.0 / (blockSize - 1);
+
+ /* Calculation of variance */
+ arm_mult_f32(&variance, &oneByBlockSize, &variance, 1);
+
+ /* absolute value of difference between ref and test */
+ diff = fabsf(refVarianceOut - variance);
+
+ /* Comparison of variance value with reference */
+ if (diff > DELTA)
+ {
+ status = ARM_MATH_TEST_FAILURE;
+ }
+
+ if ( status != ARM_MATH_SUCCESS)
+ {
+ while (1);
+ }
+
+ while (1); /* main function does not return */
+}
+
+ /** \endlink */