#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; float com_shift_gain = 0.35f; float com_shift_limit = 0.06f; float com_tau = 0.12f; alignas(16) float crawl_target_xz[4][2] = {{0}}; int crawl_order[4] = {0, 1, 2, 3}; static float d2(float ax, float az, float bx, float bz) { float dx = ax - bx, dz = az - bz; return std::sqrt(dx * dx + dz * dz); } void buildCrawlTargetsIncenter() { for (int s = 0; s < 4; ++s) { int a = (s + 1) & 3, b = (s + 2) & 3, c = (s + 3) & 3; float Ax = default_feet_pos[a][0], Az = default_feet_pos[a][2]; float Bx = default_feet_pos[b][0], Bz = default_feet_pos[b][2]; float Cx = default_feet_pos[c][0], Cz = default_feet_pos[c][2]; float la = d2(Bx, Bz, Cx, Cz); float lb = d2(Ax, Az, Cx, Cz); float lc = d2(Ax, Az, Bx, Bz); float L = la + lb + lc; if (L <= 1e-6f) { crawl_target_xz[s][0] = (Ax + Bx + Cx) / 3.f; crawl_target_xz[s][1] = (Az + Bz + Cz) / 3.f; } else { crawl_target_xz[s][0] = (la * Ax + lb * Bx + lc * Cx) / L; crawl_target_xz[s][1] = (la * Az + lb * Bz + lc * Cz) / L; } } } 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: WalkState() { buildCrawlTargetsIncenter(); } const char *name() const override { return "Bezier"; } void set_mode_crawl(float duty = 0.85f, std::array order = {0, 1, 2, 3}) { 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; const float a = dt / (com_tau + dt); if (!moving) { body_state.xm += (0.f - body_state.xm) * a; body_state.zm += (0.f - body_state.zm) * a; return; } int k = (int)std::floor(std::fmod(phase_time, 1.f) * 8.f) & 7; int leg = crawl_order[k >> 1]; float tx = crawl_target_xz[leg][0] * com_shift_gain; float tz = crawl_target_xz[leg][1] * com_shift_gain; float m = std::hypot(tx, tz); if (m > com_shift_limit) { float s = com_shift_limit / m; tx *= s; tz *= s; } body_state.xm += (tx - body_state.xm) * a; body_state.zm += (tz - body_state.zm) * a; } static float smoothstep01(float t) { const float x = std::clamp(t, 0.f, 1.f); return x * x * (3.f - 2.f * x); } 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) { 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 (float)M_PI_2 + foot_dir + offset_mod; } };