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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_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 */
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