👨🔬 Adds math macros
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@@ -1,30 +1,21 @@
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#ifndef Kinematics_h
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#define Kinematics_h
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#include <dspm_mult.h>
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#include <cmath>
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#include <MathUtils.h>
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#define RAD2DEG 57.295779513082321 // 180 / PI
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#define DEG2RAD 0.017453292519943
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struct body_state_t {
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float omega, phi, psi, xm, ym, zm;
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float feet[4][4];
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void updateFeet(const float newFeet[4][4]) {
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for (int i = 0; i < 4; ++i) {
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for (int j = 0; j < 4; ++j) {
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feet[i][j] = newFeet[i][j];
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}
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}
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}
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void updateFeet(const float newFeet[4][4]) { COPY_2D_ARRAY_4x4(feet, newFeet); }
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bool isEqual(const body_state_t &other) const {
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if (omega != other.omega || phi != other.phi || psi != other.psi || xm != other.xm || ym != other.ym ||
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zm != other.zm) {
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return false;
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}
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return memcmp(feet, other.feet, sizeof(feet)) == 0;
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return ARRAY_EQUAL(feet, other.feet);
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}
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};
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@@ -48,8 +39,8 @@ class Kinematics {
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float point[4];
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float Q1[4][4];
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const float sHp = sin(PI / 2);
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const float cHp = cos(PI / 2);
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const float sHp = sinf(PI_F / 2);
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const float cHp = cosf(PI_F / 2);
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float point_lf[4][4];
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@@ -79,33 +70,33 @@ class Kinematics {
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currentState = body_state;
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ret += inverse(Tlf, inv);
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dspm_mult_f32_ae32((float *)inv, (float *)body_state.feet[0], (float *)point, 4, 4, 1);
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MAT_MULT(inv, body_state.feet[0], point, 4, 4, 1);
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legIK((float *)point, result);
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ret += inverse(Trf, inv);
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dspm_mult_f32_ae32((float *)Ix, (float *)inv, (float *)Q1, 4, 4, 4);
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dspm_mult_f32_ae32((float *)Q1, (float *)body_state.feet[1], (float *)point, 4, 4, 1);
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MAT_MULT(Ix, inv, Q1, 4, 4, 4);
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MAT_MULT(Q1, body_state.feet[1], point, 4, 4, 1);
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legIK((float *)point, result + 3);
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ret += inverse(Tlb, inv);
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dspm_mult_f32_ae32((float *)inv, (float *)body_state.feet[2], (float *)point, 4, 4, 1);
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MAT_MULT(inv, body_state.feet[2], point, 4, 4, 1);
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legIK((float *)point, result + 6);
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ret += inverse(Trb, inv);
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dspm_mult_f32_ae32((float *)Ix, (float *)inv, (float *)Q1, 4, 4, 4);
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dspm_mult_f32_ae32((float *)Q1, (float *)body_state.feet[3], (float *)point, 4, 4, 1);
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MAT_MULT(Ix, inv, Q1, 4, 4, 4);
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MAT_MULT(Q1, body_state.feet[3], point, 4, 4, 1);
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legIK((float *)point, result + 9);
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return ret;
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}
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esp_err_t bodyIK(const body_state_t p) {
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float cos_omega = cos(p.omega * DEG2RAD);
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float sin_omega = sin(p.omega * DEG2RAD);
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float cos_phi = cos(p.phi * DEG2RAD);
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float sin_phi = sin(p.phi * DEG2RAD);
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float cos_psi = cos(p.psi * DEG2RAD);
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float sin_psi = sin(p.psi * DEG2RAD);
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float cos_omega = COS_DEG_F(p.omega);
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float sin_omega = SIN_DEG_F(p.omega);
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float cos_phi = COS_DEG_F(p.phi);
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float sin_phi = SIN_DEG_F(p.phi);
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float cos_psi = COS_DEG_F(p.psi);
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float sin_psi = SIN_DEG_F(p.psi);
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float Tm[4][4] = {{cos_phi * cos_psi, -sin_psi * cos_phi, sin_phi, p.xm},
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{sin_omega * sin_phi * cos_psi + sin_psi * cos_omega,
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@@ -122,28 +113,28 @@ class Kinematics {
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float point_rb[4][4] = {{cHp, 0, sHp, -L / 2}, {0, 1, 0, 0}, {-sHp, 0, cHp, -W / 2}, {0, 0, 0, 1}};
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dspm_mult_f32_ae32((float *)Tm, (float *)point_lf, (float *)Tlf, 4, 4, 4);
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dspm_mult_f32_ae32((float *)Tm, (float *)point_rf, (float *)Trf, 4, 4, 4);
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dspm_mult_f32_ae32((float *)Tm, (float *)point_lb, (float *)Tlb, 4, 4, 4);
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dspm_mult_f32_ae32((float *)Tm, (float *)point_rb, (float *)Trb, 4, 4, 4);
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MAT_MULT(Tm, point_lf, Tlf, 4, 4, 4);
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MAT_MULT(Tm, point_rf, Trf, 4, 4, 4);
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MAT_MULT(Tm, point_lb, Tlb, 4, 4, 4);
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MAT_MULT(Tm, point_rb, Trb, 4, 4, 4);
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return ESP_OK;
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}
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void legIK(float point[4], float result[3]) {
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float x = point[0], y = point[1], z = point[2];
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float F = sqrt(x * x + y * y - l1 * l1);
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F = isnan(F) ? l1 : F;
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float F = sqrtf(x * x + y * y - l1 * l1);
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F = isnanf(F) ? l1 : F;
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float G = F - l2;
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float H = sqrt(G * G + z * z);
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float H = sqrtf(G * G + z * z);
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float theta1 = -atan2(y, x) - atan2(F, -l1);
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float theta3 = acos((H * H - l3 * l3 - l4 * l4) / (2 * l3 * l4));
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float theta1 = -atan2f(y, x) - atan2f(F, -l1);
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float theta3 = acosf((H * H - l3 * l3 - l4 * l4) / (2 * l3 * l4));
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if (isnan(theta3)) theta3 = 0;
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float theta2 = atan2(z, G) - atan2(l4 * sin(theta3), l3 + l4 * cos(theta3));
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result[0] = theta1 * RAD2DEG;
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result[1] = theta2 * RAD2DEG;
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result[2] = theta3 * RAD2DEG;
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float theta2 = atan2f(z, G) - atan2f(l4 * sinf(theta3), l3 + l4 * cosf(theta3));
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result[0] = RAD_TO_DEG_F(theta1);
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result[1] = RAD_TO_DEG_F(theta2);
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result[2] = RAD_TO_DEG_F(theta3);
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}
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esp_err_t inverse(float a[4][4], float b[4][4]) {
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@@ -1,8 +1,55 @@
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#ifndef MATHUTILS_H
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#define MATHUTILS_H
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#include <dspm_mult.h>
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#include <cmath>
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#define ARRAY_SIZE(arr) (sizeof(arr) / sizeof(arr[0]))
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#define ARRAY_EQUAL(arr1, arr2) (memcmp((arr1), (arr2), sizeof(arr1)) == 0)
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#define COPY_2D_ARRAY_4x4(dest, src) \
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do { \
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(dest)[0][0] = (src)[0][0]; \
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(dest)[0][1] = (src)[0][1]; \
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(dest)[0][2] = (src)[0][2]; \
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(dest)[0][3] = (src)[0][3]; \
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(dest)[1][0] = (src)[1][0]; \
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(dest)[1][1] = (src)[1][1]; \
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(dest)[1][2] = (src)[1][2]; \
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(dest)[1][3] = (src)[1][3]; \
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(dest)[2][0] = (src)[2][0]; \
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(dest)[2][1] = (src)[2][1]; \
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(dest)[2][2] = (src)[2][2]; \
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(dest)[2][3] = (src)[2][3]; \
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(dest)[3][0] = (src)[3][0]; \
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(dest)[3][1] = (src)[3][1]; \
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(dest)[3][2] = (src)[3][2]; \
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(dest)[3][3] = (src)[3][3]; \
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} while (0)
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#define MAT_MULT(A, B, result, rows, cols, result_cols) \
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dspm_mult_f32_ae32((float *)(A), (float *)(B), (float *)(result), (rows), (cols), (result_cols))
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#define INT_TO_STRING(state, output) \
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do { \
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itoa((int)(state), (output), 10); \
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} while (0)
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#define PI_F 3.1415927f
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#define DEG2RAD_F 0.0174532f
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#define RAD2DEG_F 57.2957795f
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#define RAD_TO_DEG_F(rad) ((rad) * RAD2DEG_F)
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#define DEG_TO_RAD_F(deg) ((deg) * DEG2RAD_F)
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#define COS_DEG_F(deg) (cosf(DEG_TO_RAD_F(deg)))
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#define SIN_DEG_F(deg) (sinf(DEG_TO_RAD_F(deg)))
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inline float lerp(float start, float end, float t) { return (1 - t) * start + t * end; }
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inline bool isEqual(float a, float b, float epsilon) { return std::fabs(a - b) < epsilon; }
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