Trinity Devboard PCB V1.0 Firmware. FreeRTOS is setup and the MCU reads IMU data over SPI fand Magnetometer data over I2C, each with a seperate task. Sensordata is then run though MadgwickAHRS and send over USB as serial packet data to use in trinity visualizer. Bare minimum functionality works and is replicated from the first prototype.

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/* ----------------------------------------------------------------------
* Project: CMSIS DSP Library
* Title: arm_mat_mult_f32.c
* Description: Floating-point matrix multiplication
*
* $Date: 18. March 2019
* $Revision: V1.6.0
*
* Target Processor: Cortex-M cores
* -------------------------------------------------------------------- */
/*
* Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
*
* SPDX-License-Identifier: Apache-2.0
*
* Licensed under the Apache License, Version 2.0 (the License); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an AS IS BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include "arm_math.h"
/**
* @ingroup groupMatrix
*/
/**
* @defgroup MatrixMult Matrix Multiplication
*
* Multiplies two matrices.
*
* \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"
* Matrix multiplication is only defined if the number of columns of the
* first matrix equals the number of rows of the second matrix.
* Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results
* in an <code>M x P</code> matrix.
* When matrix size checking is enabled, the functions check: (1) that the inner dimensions of
* <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output
* matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>.
*/
/**
* @addtogroup MatrixMult
* @{
*/
/**
* @brief Floating-point matrix multiplication.
* @param[in] *pSrcA points to the first input matrix structure
* @param[in] *pSrcB points to the second input matrix structure
* @param[out] *pDst points to output matrix structure
* @return The function returns either
* <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
*/
#if defined(ARM_MATH_NEON)
#define GROUPOFROWS 8
arm_status arm_mat_mult_f32(
const arm_matrix_instance_f32 * pSrcA,
const arm_matrix_instance_f32 * pSrcB,
arm_matrix_instance_f32 * pDst)
{
float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */
float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */
float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */
float32_t *pOut = pDst->pData; /* output data matrix pointer */
float32_t *px; /* Temporary output data matrix pointer */
float32_t sum; /* Accumulator */
uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */
uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */
uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */
float32_t in1, in2, in3, in4;
uint16_t col, i = 0U, j, row = numRowsA, rowCnt, colCnt; /* loop counters */
arm_status status; /* status of matrix multiplication */
float32x4_t a0V, a1V, a2V, a3V, a4V, a5V, a6V, a7V;
float32x4_t acc0,acc1,acc2,acc3,acc4,acc5,acc6,acc7,temp;
float32x2_t accum = vdup_n_f32(0);
float32_t *pIn1B = pSrcA->pData;
float32_t *pIn1C = pSrcA->pData;
float32_t *pIn1D = pSrcA->pData;
float32_t *pIn1E = pSrcA->pData;
float32_t *pIn1F = pSrcA->pData;
float32_t *pIn1G = pSrcA->pData;
float32_t *pIn1H = pSrcA->pData;
float32_t *pxB,*pxC, *pxD, *pxE, *pxF, *pxG, *pxH; /* Temporary output data matrix pointer */
float32_t sum0,sum1, sum2,sum3, sum4, sum5 , sum6, sum7;
#ifdef ARM_MATH_MATRIX_CHECK
/* Check for matrix mismatch condition */
if ((pSrcA->numCols != pSrcB->numRows) ||
(pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
{
/* Set status as ARM_MATH_SIZE_MISMATCH */
status = ARM_MATH_SIZE_MISMATCH;
}
else
#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
{
/* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
/* Row loop */
rowCnt = row >> 3;
while(rowCnt > 0)
{
/* Output pointer is set to starting address of the row being processed */
px = pOut + GROUPOFROWS*i;
pxB = px + numColsB;
pxC = px + 2*numColsB;
pxD = px + 3*numColsB;
pxE = px + 4*numColsB;
pxF = px + 5*numColsB;
pxG = px + 6*numColsB;
pxH = px + 7*numColsB;
/* For every row wise process, the column loop counter is to be initiated */
col = numColsB;
/* For every row wise process, the pIn2 pointer is set
** to the starting address of the pSrcB data */
pIn2 = pSrcB->pData;
j = 0U;
/* Column loop */
do
{
/* Set the variable sum, that acts as accumulator, to zero */
sum0 = 0.0f;
sum1 = 0.0f;
sum2 = 0.0f;
sum3 = 0.0f;
sum4 = 0.0f;
sum5 = 0.0f;
sum6 = 0.0f;
sum7 = 0.0f;
/* Initiate the pointer pIn1 to point to the starting address of the column being processed */
pIn1 = pInA;
pIn1B = pIn1 + numColsA;
pIn1C = pIn1 + 2*numColsA;
pIn1D = pIn1 + 3*numColsA;
pIn1E = pIn1 + 4*numColsA;
pIn1F = pIn1 + 5*numColsA;
pIn1G = pIn1 + 6*numColsA;
pIn1H = pIn1 + 7*numColsA;
acc0 = vdupq_n_f32(0.0);
acc1 = vdupq_n_f32(0.0);
acc2 = vdupq_n_f32(0.0);
acc3 = vdupq_n_f32(0.0);
acc4 = vdupq_n_f32(0.0);
acc5 = vdupq_n_f32(0.0);
acc6 = vdupq_n_f32(0.0);
acc7 = vdupq_n_f32(0.0);
/* Compute 4 MACs simultaneously. */
colCnt = numColsA >> 2U;
/* Matrix multiplication */
while (colCnt > 0U)
{
/* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
a0V = vld1q_f32(pIn1);
a1V = vld1q_f32(pIn1B);
a2V = vld1q_f32(pIn1C);
a3V = vld1q_f32(pIn1D);
a4V = vld1q_f32(pIn1E);
a5V = vld1q_f32(pIn1F);
a6V = vld1q_f32(pIn1G);
a7V = vld1q_f32(pIn1H);
pIn1 += 4;
pIn1B += 4;
pIn1C += 4;
pIn1D += 4;
pIn1E += 4;
pIn1F += 4;
pIn1G += 4;
pIn1H += 4;
temp[0] = *pIn2;
pIn2 += numColsB;
temp[1] = *pIn2;
pIn2 += numColsB;
temp[2] = *pIn2;
pIn2 += numColsB;
temp[3] = *pIn2;
pIn2 += numColsB;
acc0 = vmlaq_f32(acc0,a0V,temp);
acc1 = vmlaq_f32(acc1,a1V,temp);
acc2 = vmlaq_f32(acc2,a2V,temp);
acc3 = vmlaq_f32(acc3,a3V,temp);
acc4 = vmlaq_f32(acc4,a4V,temp);
acc5 = vmlaq_f32(acc5,a5V,temp);
acc6 = vmlaq_f32(acc6,a6V,temp);
acc7 = vmlaq_f32(acc7,a7V,temp);
/* Decrement the loop count */
colCnt--;
}
accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
sum0 += accum[0] + accum[1];
accum = vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1));
sum1 += accum[0] + accum[1];
accum = vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2));
sum2 += accum[0] + accum[1];
accum = vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3));
sum3 += accum[0] + accum[1];
accum = vpadd_f32(vget_low_f32(acc4), vget_high_f32(acc4));
sum4 += accum[0] + accum[1];
accum = vpadd_f32(vget_low_f32(acc5), vget_high_f32(acc5));
sum5 += accum[0] + accum[1];
accum = vpadd_f32(vget_low_f32(acc6), vget_high_f32(acc6));
sum6 += accum[0] + accum[1];
accum = vpadd_f32(vget_low_f32(acc7), vget_high_f32(acc7));
sum7 += accum[0] + accum[1];
/* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
** No loop unrolling is used. */
colCnt = numColsA & 3;
while (colCnt > 0U)
{
/* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
sum0 += *pIn1++ * (*pIn2);
sum1 += *pIn1B++ * (*pIn2);
sum2 += *pIn1C++ * (*pIn2);
sum3 += *pIn1D++ * (*pIn2);
sum4 += *pIn1E++ * (*pIn2);
sum5 += *pIn1F++ * (*pIn2);
sum6 += *pIn1G++ * (*pIn2);
sum7 += *pIn1H++ * (*pIn2);
pIn2 += numColsB;
/* Decrement the loop counter */
colCnt--;
}
/* Store the result in the destination buffer */
*px++ = sum0;
*pxB++ = sum1;
*pxC++ = sum2;
*pxD++ = sum3;
*pxE++ = sum4;
*pxF++ = sum5;
*pxG++ = sum6;
*pxH++ = sum7;
/* Update the pointer pIn2 to point to the starting address of the next column */
j++;
pIn2 = pSrcB->pData + j;
/* Decrement the column loop counter */
col--;
} while (col > 0U);
/* Update the pointer pInA to point to the starting address of the next row */
i = i + numColsB;
pInA = pInA + GROUPOFROWS*numColsA;
/* Decrement the row loop counter */
rowCnt--;
}
/*
i was the index of a group of rows computed by previous loop.
Now i is the index of a row since below code is computing row per row
and no more group of row per group of rows.
*/
i = GROUPOFROWS*i;
rowCnt = row & 7;
while(rowCnt > 0)
{
/* Output pointer is set to starting address of the row being processed */
px = pOut + i;
/* For every row wise process, the column loop counter is to be initiated */
col = numColsB;
/* For every row wise process, the pIn2 pointer is set
** to the starting address of the pSrcB data */
pIn2 = pSrcB->pData;
j = 0U;
/* Column loop */
do
{
/* Set the variable sum, that acts as accumulator, to zero */
sum = 0.0f;
/* Initiate the pointer pIn1 to point to the starting address of the column being processed */
pIn1 = pInA;
acc0 = vdupq_n_f32(0.0);
/* Compute 4 MACs simultaneously. */
colCnt = numColsA >> 2U;
/* Matrix multiplication */
while (colCnt > 0U)
{
/* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
a0V = vld1q_f32(pIn1); // load & separate real/imag pSrcA (de-interleave 2)
pIn1 += 4;
temp[0] = *pIn2;
pIn2 += numColsB;
temp[1] = *pIn2;
pIn2 += numColsB;
temp[2] = *pIn2;
pIn2 += numColsB;
temp[3] = *pIn2;
pIn2 += numColsB;
acc0 = vmlaq_f32(acc0,a0V,temp);
/* Decrement the loop count */
colCnt--;
}
accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
sum += accum[0] + accum[1];
/* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
** No loop unrolling is used. */
colCnt = numColsA % 0x4U;
while (colCnt > 0U)
{
/* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
sum += *pIn1++ * (*pIn2);
pIn2 += numColsB;
/* Decrement the loop counter */
colCnt--;
}
/* Store the result in the destination buffer */
*px++ = sum;
/* Update the pointer pIn2 to point to the starting address of the next column */
j++;
pIn2 = pSrcB->pData + j;
/* Decrement the column loop counter */
col--;
} while (col > 0U);
/* Update the pointer pInA to point to the starting address of the next row */
i = i + numColsB;
pInA = pInA + numColsA;
/* Decrement the row loop counter */
rowCnt--;
}
/* Set status as ARM_MATH_SUCCESS */
status = ARM_MATH_SUCCESS;
}
/* Return to application */
return (status);
}
#else
arm_status arm_mat_mult_f32(
const arm_matrix_instance_f32 * pSrcA,
const arm_matrix_instance_f32 * pSrcB,
arm_matrix_instance_f32 * pDst)
{
float32_t *pIn1 = pSrcA->pData; /* Input data matrix pointer A */
float32_t *pIn2 = pSrcB->pData; /* Input data matrix pointer B */
float32_t *pInA = pSrcA->pData; /* Input data matrix pointer A */
float32_t *pInB = pSrcB->pData; /* Input data matrix pointer B */
float32_t *pOut = pDst->pData; /* Output data matrix pointer */
float32_t *px; /* Temporary output data matrix pointer */
float32_t sum; /* Accumulator */
uint16_t numRowsA = pSrcA->numRows; /* Number of rows of input matrix A */
uint16_t numColsB = pSrcB->numCols; /* Number of columns of input matrix B */
uint16_t numColsA = pSrcA->numCols; /* Number of columns of input matrix A */
uint32_t col, i = 0U, row = numRowsA, colCnt; /* Loop counters */
arm_status status; /* Status of matrix multiplication */
#ifdef ARM_MATH_MATRIX_CHECK
/* Check for matrix mismatch condition */
if ((pSrcA->numCols != pSrcB->numRows) ||
(pSrcA->numRows != pDst->numRows) ||
(pSrcB->numCols != pDst->numCols) )
{
/* Set status as ARM_MATH_SIZE_MISMATCH */
status = ARM_MATH_SIZE_MISMATCH;
}
else
#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
{
/* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
/* row loop */
do
{
/* Output pointer is set to starting address of row being processed */
px = pOut + i;
/* For every row wise process, column loop counter is to be initiated */
col = numColsB;
/* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
pIn2 = pSrcB->pData;
/* column loop */
do
{
/* Set the variable sum, that acts as accumulator, to zero */
sum = 0.0f;
/* Initialize pointer pIn1 to point to starting address of column being processed */
pIn1 = pInA;
#if defined (ARM_MATH_LOOPUNROLL)
/* Loop unrolling: Compute 4 MACs at a time. */
colCnt = numColsA >> 2U;
/* matrix multiplication */
while (colCnt > 0U)
{
/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
/* Perform the multiply-accumulates */
sum += *pIn1++ * *pIn2;
pIn2 += numColsB;
sum += *pIn1++ * *pIn2;
pIn2 += numColsB;
sum += *pIn1++ * *pIn2;
pIn2 += numColsB;
sum += *pIn1++ * *pIn2;
pIn2 += numColsB;
/* Decrement loop counter */
colCnt--;
}
/* Loop unrolling: Compute remaining MACs */
colCnt = numColsA % 0x4U;
#else
/* Initialize cntCnt with number of columns */
colCnt = numColsA;
#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
while (colCnt > 0U)
{
/* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
/* Perform the multiply-accumulates */
sum += *pIn1++ * *pIn2;
pIn2 += numColsB;
/* Decrement loop counter */
colCnt--;
}
/* Store result in destination buffer */
*px++ = sum;
/* Decrement column loop counter */
col--;
/* Update pointer pIn2 to point to starting address of next column */
pIn2 = pInB + (numColsB - col);
} while (col > 0U);
/* Update pointer pInA to point to starting address of next row */
i = i + numColsB;
pInA = pInA + numColsA;
/* Decrement row loop counter */
row--;
} while (row > 0U);
/* Set status as ARM_MATH_SUCCESS */
status = ARM_MATH_SUCCESS;
}
/* Return to application */
return (status);
}
#endif /* #if defined(ARM_MATH_NEON) */
/**
* @} end of MatrixMult group
*/