#pragma once #include #include #include #include enum class WALK_GAIT { TROT, CRAWL }; class WalkState : public GaitState { private: WALK_GAIT mode = WALK_GAIT::TROT; float phase_time = 0.0f; float phase_offset[4] = {0.f, 0.5f, 0.5f, 0.f}; float stand_offset = 0.6f; float step_length = 0.0f; float phase_lead = 0.08f; float feather = 0.05f; float speed_factor = 0.5; static constexpr uint8_t BEZIER_POINTS = 12; 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 set_mode_crawl(float duty = 0.85f, std::array order = {0, 3, 1, 2}) { mode = WALK_GAIT::CRAWL; speed_factor = 0.1; stand_offset = duty; const float base[4] = {0.f, 0.25f, 0.5f, 0.75f}; for (int i = 0; i < 4; ++i) phase_offset[order[i]] = base[i]; } void set_mode_trot(float duty = 0.6f, std::array offsets = {0.f, 0.5f, 0.5f, 0.f}) { mode = WALK_GAIT::TROT; speed_factor = 0.5; stand_offset = duty; for (int i = 0; i < 4; ++i) phase_offset[i] = std::fmod(std::fabs(offsets[i]), 1.f); } 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); updateBodyPosition(body_state, dt); updateFeetPositions(body_state); } protected: void updatePhase(float dt) { phase_time = std::fmod(phase_time + dt * gait_state.step_velocity * speed_factor, 1.0f); } void updateBodyPosition(body_state_t &body_state, float dt) { if (mode != WALK_GAIT::CRAWL) return; const bool moving = gait_state.step_x != 0.f || gait_state.step_z != 0.f || gait_state.step_angle != 0.f; if (!moving) return; const auto c = dynamicStanceCentroid(body_state); const float a = 1.f - std::exp(-16.f * dt); body_state.xm += (c[0] - body_state.xm) * a; body_state.zm += (c[2] - body_state.zm) * a; } std::array dynamicStanceCentroid(const body_state_t &body_state) const { if (mode != WALK_GAIT::CRAWL) return {body_state.xm, 0.f, body_state.zm}; float sx = 0.f, sz = 0.f; int n = 0; for (int i = 0; i < 4; ++i) { float p = std::fmod(phase_time + phase_offset[i], 1.f); if (p < 0.f) p += 1.f; if (p <= stand_offset) { sx += default_feet_pos[i][0]; sz += default_feet_pos[i][2]; ++n; } } if (n == 0) return {body_state.xm, 0.f, body_state.zm}; return {sx / n, 0.f, sz / n}; } static float smoothstep01(float t) { const float x = std::clamp(t, 0.f, 1.f); return x * x * (3.f - 2.f * x); } float stanceWeight(int i) const { const float s = stand_offset; const float e = feather; float p = std::fmod(phase_time + phase_offset[i] + phase_lead, 1.f); if (p < 0.f) p += 1.f; if (p < s - e) return 1.f; if (p > s + e && p < 1.f - e) return 0.f; if (p <= s + e) { const float t = (p - (s - e)) / (2.f * e); return 1.f - smoothstep01(t); } const float q = p >= 1.f - e ? (p - (1.f - e)) / e : (e - p) / e; return smoothstep01(q); } 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; if (contact) standController(body_state, index, leg_phase / stand_offset); else swingController(body_state, index, (leg_phase - stand_offset) / (1.f - stand_offset)); } void standController(body_state_t &body_state, const int index, const float phase) { if (mode == WALK_GAIT::CRAWL) controller(index, body_state, phase, stanceCurveFlat, &gait_state.step_depth); else 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); } static void stanceCurveFlat(const float length, const float angle, const float *, 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); point[1] += 0.f; } 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 (float)M_PI_2 + foot_dir + offset_mod; } };