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-/* ----------------------------------------------------------------------
-* 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 */