2015-10-26 21:51:43 -03:00
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/// -*- tab-width: 4; Mode: C++; c-basic-offset: 4; indent-tabs-mode: nil -*-
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//
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// Unit tests for the AP_Math rotations code
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//
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#include <AP_HAL/AP_HAL.h>
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#include <AP_Math/AP_Math.h>
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#include <stdio.h>
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const AP_HAL::HAL& hal = AP_HAL::get_HAL();
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2015-12-28 19:19:05 -04:00
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#define MAT_ALG_ACCURACY 1e-4f
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2015-10-26 21:51:43 -03:00
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static uint16_t get_random(void)
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{
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static uint32_t m_z = 1234;
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static uint32_t m_w = 76542;
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m_z = 36969 * (m_z & 65535) + (m_z >> 16);
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m_w = 18000 * (m_w & 65535) + (m_w >> 16);
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return ((m_z << 16) + m_w) & 0xF;
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}
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void show_matrix(float *A, int n) {
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for (int i = 0; i < n; i++) {
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for (int j = 0; j < n; j++)
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2015-12-28 19:19:05 -04:00
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printf("%.10f ", A[i * n + j]);
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2015-10-26 21:51:43 -03:00
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printf("\n");
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}
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}
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bool compare_mat(float *A, float *B, uint8_t n)
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{
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for(uint8_t i = 0; i < n; i++) {
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for(uint8_t j = 0; j < n; j++) {
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2015-12-28 19:19:05 -04:00
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if(fabsf(A[i*n + j] - B[i*n + j]) > MAT_ALG_ACCURACY) {
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2015-10-26 21:51:43 -03:00
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return false;
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}
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}
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}
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return true;
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}
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static void test_matrix_inverse(void)
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{
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//fast inverses
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2015-12-28 19:19:05 -04:00
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float test_mat[25],ident_mat[25];
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float *out_mat;
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2015-10-26 21:51:43 -03:00
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for(uint8_t i = 0;i<25;i++) {
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test_mat[i] = pow(-1,i)*get_random()/0.7f;
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}
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float mat[25];
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2015-12-28 19:19:05 -04:00
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2015-10-26 21:51:43 -03:00
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//Test for 3x3 matrix
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2015-12-28 19:19:05 -04:00
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memset(ident_mat,0,sizeof(ident_mat));
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for(uint8_t i=0; i<3; i++) {
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ident_mat[i*3+i] = 1.0f;
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}
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2015-10-26 21:51:43 -03:00
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if(inverse(test_mat,mat,3)){
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2015-12-28 19:19:05 -04:00
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out_mat = mat_mul(test_mat,mat,3);
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2015-10-26 21:51:43 -03:00
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inverse(mat,mat,3);
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} else {
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hal.console->printf("3x3 Matrix is Singular!\n");
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return;
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}
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printf("\n\n3x3 Test Matrix:\n");
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show_matrix(test_mat,3);
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printf("\nInverse of Inverse of matrix\n");
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show_matrix(mat,3);
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2015-12-28 19:19:05 -04:00
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printf("\nInv(A) * A\n");
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show_matrix(out_mat,3);
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2015-10-26 21:51:43 -03:00
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printf("\n");
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//compare matrix
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if(!compare_mat(test_mat,mat,3)) {
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printf("Test Failed!!\n");
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return;
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}
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2015-12-28 19:19:05 -04:00
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if(!compare_mat(ident_mat,out_mat,3)) {
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printf("Identity output Test Failed!!\n");
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return;
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}
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2015-10-26 21:51:43 -03:00
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//Test for 4x4 matrix
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2015-12-28 19:19:05 -04:00
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memset(ident_mat,0,sizeof(ident_mat));
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for(uint8_t i=0; i<4; i++) {
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ident_mat[i*4+i] = 1.0f;
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}
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2015-10-26 21:51:43 -03:00
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if(inverse(test_mat,mat,4)){
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2015-12-28 19:19:05 -04:00
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out_mat = mat_mul(test_mat,mat,4);
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2015-10-26 21:51:43 -03:00
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inverse(mat,mat,4);
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} else {
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2015-12-28 19:19:05 -04:00
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hal.console->printf("4x4 Matrix is Singular!\n");
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2015-10-26 21:51:43 -03:00
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return;
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}
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printf("\n\n4x4 Test Matrix:\n");
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show_matrix(test_mat,4);
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printf("\nInverse of Inverse of matrix\n");
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show_matrix(mat,4);
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2015-12-28 19:19:05 -04:00
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printf("\nInv(A) * A\n");
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show_matrix(out_mat,4);
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2015-10-26 21:51:43 -03:00
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printf("\n");
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if(!compare_mat(test_mat,mat,4)) {
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printf("Test Failed!!\n");
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return;
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}
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2015-12-28 19:19:05 -04:00
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if(!compare_mat(ident_mat,out_mat,4)) {
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printf("Identity output Test Failed!!\n");
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return;
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}
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2015-10-26 21:51:43 -03:00
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//Test for 5x5 matrix
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2015-12-28 19:19:05 -04:00
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memset(ident_mat,0,sizeof(ident_mat));
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for(uint8_t i=0; i<5; i++) {
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ident_mat[i*5+i] = 1.0f;
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}
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2015-10-26 21:51:43 -03:00
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if(inverse(test_mat,mat,5)) {
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2015-12-28 19:19:05 -04:00
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out_mat = mat_mul(test_mat,mat,5);
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2015-10-26 21:51:43 -03:00
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inverse(mat,mat,5);
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} else {
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2015-12-28 19:19:05 -04:00
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hal.console->printf("5x5 Matrix is Singular!\n");
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2015-10-26 21:51:43 -03:00
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return;
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}
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printf("\n\n5x5 Test Matrix:\n");
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show_matrix(test_mat,5);
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printf("\nInverse of Inverse of matrix\n");
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show_matrix(mat,5);
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2015-12-28 19:19:05 -04:00
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printf("\nInv(A) * A\n");
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show_matrix(out_mat,5);
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2015-10-26 21:51:43 -03:00
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printf("\n");
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if(!compare_mat(test_mat,mat,5)) {
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printf("Test Failed!!\n");
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return;
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}
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2015-12-28 19:19:05 -04:00
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if(!compare_mat(ident_mat,out_mat,5)) {
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printf("Identity output Test Failed!!\n");
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return;
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}
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2015-10-26 21:51:43 -03:00
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hal.console->printf("All tests succeeded!!\n");
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}
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void setup(void)
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{
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hal.console->println("Matrix Algebra test\n");
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test_matrix_inverse();
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hal.console->println("Matrix Algebra tests done\n");
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}
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void loop(void) {}
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AP_HAL_MAIN();
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