#pragma once #include #include #include #include class BezierState : public GaitState { private: float phase_time = 0.0f; static constexpr float PHASE_OFFSET[4] = {0.f, 0.5f, 0.5f, 0.f}; static constexpr float STAND_OFFSET = 0.75f; static constexpr uint8_t BEZIER_POINTS = 12; float step_length = 0.0f; static constexpr std::array COMBINATORIAL_VALUES = { combinatorial_constexpr(11, 0), // 1 combinatorial_constexpr(11, 1), // 11 combinatorial_constexpr(11, 2), // 55 combinatorial_constexpr(11, 3), // 165 combinatorial_constexpr(11, 4), // 330 combinatorial_constexpr(11, 5), // 462 combinatorial_constexpr(11, 6), // 462 combinatorial_constexpr(11, 7), // 330 combinatorial_constexpr(11, 8), // 165 combinatorial_constexpr(11, 9), // 55 combinatorial_constexpr(11, 10), // 11 combinatorial_constexpr(11, 11) // 1 }; alignas(32) static constexpr float BEZIER_STEPS[12] = {-1.0f, -1.4f, -1.5f, -1.5f, -1.5f, 0.0f, 0.0f, 0.0f, 1.5f, 1.5f, 1.4f, 1.0f}; alignas(32) static constexpr float BEZIER_HEIGHTS[12] = {0.0f, 0.0f, 0.9f, 0.9f, 0.9f, 0.9f, 0.9f, 1.1f, 1.1f, 1.1f, 0.0f, 0.0f}; public: const char *name() const override { return "Bezier"; } void step(body_state_t &body_state, CommandMsg command, float dt = 0.02f) override { this->mapCommand(command); step_length = std::hypot(gait_state.step_x, gait_state.step_z); if (gait_state.step_x < 0.0f) { step_length = -step_length; } updatePhase(dt); updateFeetPositions(body_state); } protected: void updatePhase(float dt) { phase_time = std::fmod(phase_time + dt * gait_state.step_velocity * 2, 1.0f); } void updateFeetPositions(body_state_t &body_state) { for (int i = 0; i < 4; ++i) { updateFootPosition(body_state, i); } } void updateFootPosition(body_state_t &body_state, const int index) { body_state.feet[index][0] = this->default_feet_pos[index][0]; body_state.feet[index][1] = this->default_feet_pos[index][1]; body_state.feet[index][2] = this->default_feet_pos[index][2]; const float leg_phase = std::fmod(phase_time + PHASE_OFFSET[index], 1.0f); const bool contact = leg_phase <= STAND_OFFSET; contact ? standController(body_state, index, leg_phase / STAND_OFFSET) : swingController(body_state, index, (leg_phase - STAND_OFFSET) / (1 - STAND_OFFSET)); } void standController(body_state_t &body_state, const int index, const float phase) { controller(index, body_state, phase, stanceCurve, &gait_state.step_depth); } void swingController(body_state_t &body_state, const int index, const float phase) { controller(index, body_state, phase, bezierCurve, &gait_state.step_height); } void controller(const int index, body_state_t &body_state, const float phase, std::function curve, float *arg) { float delta_pos[3] = {0}; float delta_rot[3] = {0}; float length = step_length * 0.5f; float angle = std::atan2(gait_state.step_z, step_length); curve(length, angle, arg, phase, delta_pos); length = gait_state.step_angle * 2.0f; angle = yawArc(default_feet_pos[index], body_state.feet[index]); curve(length, angle, arg, phase, delta_rot); body_state.feet[index][0] += delta_pos[0] + delta_rot[0] * 0.2; if (step_length || gait_state.step_angle) body_state.feet[index][1] += delta_pos[1] + delta_rot[1] * 0.2; body_state.feet[index][2] += delta_pos[2] + delta_rot[2] * 0.2; } static void stanceCurve(const float length, const float angle, const float *depth, const float phase, float *point) { float step = length * (1.0f - 2.0f * phase); point[0] += step * std::cos(angle); point[2] += step * std::sin(angle); if (length != 0.0f) { point[1] = -*depth * std::cos((M_PI * (point[0] + point[2])) / (2.f * length)); } } static void bezierCurve(const float length, const float angle, const float *height, const float phase, float *point) { const float X_POLAR = std::cos(angle); const float Z_POLAR = std::sin(angle); const float t = std::clamp(phase, 1e-4f, 1.f - 1e-4f); float phase_power = 1.0f; float inv_phase_power = std::pow(1.0f - t, 11); const float one_minus_phase = 1.0f - t; for (int i = 0; i < 12; i++) { float b = COMBINATORIAL_VALUES[i] * phase_power * inv_phase_power; point[0] += b * BEZIER_STEPS[i] * length * X_POLAR; point[1] += b * BEZIER_HEIGHTS[i] * *height; point[2] += b * BEZIER_STEPS[i] * length * Z_POLAR; phase_power *= phase; inv_phase_power /= one_minus_phase; } } static float yawArc(const float feet_pos[3], const float *current_pos) { const float foot_mag = std::hypot(feet_pos[0], feet_pos[2]); const float foot_dir = std::atan2(feet_pos[2], feet_pos[0]); const float offsets[] = {current_pos[0] - feet_pos[0], current_pos[1] - feet_pos[1], current_pos[2] - feet_pos[2]}; const float offset_mag = std::hypot(offsets[0], offsets[2]); const float offset_mod = std::atan2(offset_mag, foot_mag); return M_PI_2 + foot_dir + offset_mod; } };