diff --git a/core/math/camera_matrix.cpp b/core/math/camera_matrix.cpp index 9ec71af57fd..9ab6901494a 100644 --- a/core/math/camera_matrix.cpp +++ b/core/math/camera_matrix.cpp @@ -80,7 +80,7 @@ void CameraMatrix::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_ } real_t sine, cotangent, deltaZ; - real_t radians = p_fovy_degrees / 2.0 * Math_PI / 180.0; + real_t radians = Math::deg2rad(p_fovy_degrees / 2.0); deltaZ = p_z_far - p_z_near; sine = Math::sin(radians); @@ -107,7 +107,7 @@ void CameraMatrix::set_perspective(real_t p_fovy_degrees, real_t p_aspect, real_ real_t left, right, modeltranslation, ymax, xmax, frustumshift; - ymax = p_z_near * tan(p_fovy_degrees * Math_PI / 360.0f); + ymax = p_z_near * tan(Math::deg2rad(p_fovy_degrees / 2.0)); xmax = ymax * p_aspect; frustumshift = (p_intraocular_dist / 2.0) * p_z_near / p_convergence_dist; diff --git a/core/math/geometry_3d.cpp b/core/math/geometry_3d.cpp index a918d1de0d6..15ba3f6638b 100644 --- a/core/math/geometry_3d.cpp +++ b/core/math/geometry_3d.cpp @@ -777,10 +777,11 @@ Vector Geometry3D::build_box_planes(const Vector3 &p_extents) { Vector Geometry3D::build_cylinder_planes(real_t p_radius, real_t p_height, int p_sides, Vector3::Axis p_axis) { Vector planes; + const double sides_step = Math_TAU / p_sides; for (int i = 0; i < p_sides; i++) { Vector3 normal; - normal[(p_axis + 1) % 3] = Math::cos(i * (2.0 * Math_PI) / p_sides); - normal[(p_axis + 2) % 3] = Math::sin(i * (2.0 * Math_PI) / p_sides); + normal[(p_axis + 1) % 3] = Math::cos(i * sides_step); + normal[(p_axis + 2) % 3] = Math::sin(i * sides_step); planes.push_back(Plane(normal, p_radius)); } @@ -805,10 +806,11 @@ Vector Geometry3D::build_sphere_planes(real_t p_radius, int p_lats, int p axis_neg[(p_axis + 2) % 3] = 1.0; axis_neg[p_axis] = -1.0; + const double lon_step = Math_TAU / p_lons; for (int i = 0; i < p_lons; i++) { Vector3 normal; - normal[(p_axis + 1) % 3] = Math::cos(i * (2.0 * Math_PI) / p_lons); - normal[(p_axis + 2) % 3] = Math::sin(i * (2.0 * Math_PI) / p_lons); + normal[(p_axis + 1) % 3] = Math::cos(i * lon_step); + normal[(p_axis + 2) % 3] = Math::sin(i * lon_step); planes.push_back(Plane(normal, p_radius)); @@ -835,10 +837,11 @@ Vector Geometry3D::build_capsule_planes(real_t p_radius, real_t p_height, axis_neg[(p_axis + 2) % 3] = 1.0; axis_neg[p_axis] = -1.0; + const double sides_step = Math_TAU / p_sides; for (int i = 0; i < p_sides; i++) { Vector3 normal; - normal[(p_axis + 1) % 3] = Math::cos(i * (2.0 * Math_PI) / p_sides); - normal[(p_axis + 2) % 3] = Math::sin(i * (2.0 * Math_PI) / p_sides); + normal[(p_axis + 1) % 3] = Math::cos(i * sides_step); + normal[(p_axis + 2) % 3] = Math::sin(i * sides_step); planes.push_back(Plane(normal, p_radius)); diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h index c7d24e9c587..267f6a4fe23 100644 --- a/core/math/math_funcs.h +++ b/core/math/math_funcs.h @@ -223,11 +223,11 @@ public: return value; } - static _ALWAYS_INLINE_ double deg2rad(double p_y) { return p_y * Math_PI / 180.0; } - static _ALWAYS_INLINE_ float deg2rad(float p_y) { return p_y * Math_PI / 180.0; } + static _ALWAYS_INLINE_ double deg2rad(double p_y) { return p_y * (Math_PI / 180.0); } + static _ALWAYS_INLINE_ float deg2rad(float p_y) { return p_y * (Math_PI / 180.0); } - static _ALWAYS_INLINE_ double rad2deg(double p_y) { return p_y * 180.0 / Math_PI; } - static _ALWAYS_INLINE_ float rad2deg(float p_y) { return p_y * 180.0 / Math_PI; } + static _ALWAYS_INLINE_ double rad2deg(double p_y) { return p_y * (180.0 / Math_PI); } + static _ALWAYS_INLINE_ float rad2deg(float p_y) { return p_y * (180.0 / Math_PI); } static _ALWAYS_INLINE_ double lerp(double p_from, double p_to, double p_weight) { return p_from + (p_to - p_from) * p_weight; } static _ALWAYS_INLINE_ float lerp(float p_from, float p_to, float p_weight) { return p_from + (p_to - p_from) * p_weight; } diff --git a/editor/node_3d_editor_gizmos.cpp b/editor/node_3d_editor_gizmos.cpp index 96ebb131adc..bd825d08020 100644 --- a/editor/node_3d_editor_gizmos.cpp +++ b/editor/node_3d_editor_gizmos.cpp @@ -844,7 +844,7 @@ static float _find_closest_angle_to_half_pi_arc(const Vector3 &p_from, const Vec //min_p = p_arc_xform.affine_inverse().xform(min_p); float a = (Math_PI * 0.5) - Vector2(min_p.x, -min_p.z).angle(); - return a * 180.0 / Math_PI; + return Math::rad2deg(a); } void Light3DGizmoPlugin::set_handle(EditorNode3DGizmo *p_gizmo, int p_idx, Camera3D *p_camera, const Point2 &p_point) { @@ -1033,12 +1033,9 @@ void Light3DGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { p_gizmo->add_lines(points_primary, material_primary, false, color); p_gizmo->add_lines(points_secondary, material_secondary, false, color); - const float ra = 16 * Math_PI * 2.0 / 64.0; - const Point2 a = Vector2(Math::sin(ra), Math::cos(ra)) * w; - Vector handles; handles.push_back(Vector3(0, 0, -r)); - handles.push_back(Vector3(a.x, a.y, -d)); + handles.push_back(Vector3(w, 0, -d)); p_gizmo->add_handles(handles, get_material("handles")); p_gizmo->add_unscaled_billboard(icon, 0.05, color); @@ -1095,8 +1092,8 @@ void AudioStreamPlayer3DGizmoPlugin::set_handle(EditorNode3DGizmo *p_gizmo, int float closest_angle = 1e20; for (int i = 0; i < 180; i++) { - float a = i * Math_PI / 180.0; - float an = (i + 1) * Math_PI / 180.0; + float a = Math::deg2rad((float)i); + float an = Math::deg2rad((float)(i + 1)); Vector3 from(Math::sin(a), 0, -Math::cos(a)); Vector3 to(Math::sin(an), 0, -Math::cos(an)); @@ -1145,9 +1142,10 @@ void AudioStreamPlayer3DGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { Vector points_primary; points_primary.resize(200); + real_t step = Math_TAU / 100.0; for (int i = 0; i < 100; i++) { - const float a = i * 2.0 * Math_PI / 100.0; - const float an = (i + 1) * 2.0 * Math_PI / 100.0; + const float a = i * step; + const float an = (i + 1) * step; const Vector3 from(Math::sin(a) * radius, Math::cos(a) * radius, ofs); const Vector3 to(Math::sin(an) * radius, Math::cos(an) * radius, ofs); @@ -1163,7 +1161,7 @@ void AudioStreamPlayer3DGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { points_secondary.resize(16); for (int i = 0; i < 8; i++) { - const float a = i * 2.0 * Math_PI / 8.0; + const float a = i * (Math_TAU / 8.0); const Vector3 from(Math::sin(a) * radius, Math::cos(a) * radius, ofs); points_secondary.write[i * 2 + 0] = from; @@ -2616,8 +2614,8 @@ void GPUParticlesCollision3DGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { Vector collision_segments; for (int i = 0; i < 64; i++) { - float ra = i * Math_PI * 2.0 / 64.0; - float rb = (i + 1) * Math_PI * 2.0 / 64.0; + float ra = i * (Math_TAU / 64.0); + float rb = (i + 1) * (Math_TAU / 64.0); Point2 a = Vector2(Math::sin(ra), Math::cos(ra)) * r; Point2 b = Vector2(Math::sin(rb), Math::cos(rb)) * r; @@ -3317,7 +3315,7 @@ void BakedLightmapGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { int stack_count = 8; int sector_count = 16; - float sector_step = 2 * Math_PI / sector_count; + float sector_step = (Math_PI * 2.0) / sector_count; float stack_step = Math_PI / stack_count; Vector vertices; @@ -3454,7 +3452,7 @@ void LightmapProbeGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { int stack_count = 8; int sector_count = 16; - float sector_step = 2 * Math_PI / sector_count; + float sector_step = (Math_PI * 2.0) / sector_count; float stack_step = Math_PI / stack_count; Vector vertices; @@ -3854,8 +3852,8 @@ void CollisionShape3DGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { Vector collision_segments; for (int i = 0; i < 64; i++) { - float ra = i * Math_PI * 2.0 / 64.0; - float rb = (i + 1) * Math_PI * 2.0 / 64.0; + float ra = i * (Math_TAU / 64.0); + float rb = (i + 1) * (Math_TAU / 64.0); Point2 a = Vector2(Math::sin(ra), Math::cos(ra)) * r; Point2 b = Vector2(Math::sin(rb), Math::cos(rb)) * r; @@ -3939,8 +3937,8 @@ void CollisionShape3DGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { Vector collision_segments; for (int i = 0; i < 64; i++) { - float ra = i * Math_PI * 2.0 / 64.0; - float rb = (i + 1) * Math_PI * 2.0 / 64.0; + float ra = i * (Math_TAU / 64.0); + float rb = (i + 1) * (Math_TAU / 64.0); Point2 a = Vector2(Math::sin(ra), Math::cos(ra)) * radius; Point2 b = Vector2(Math::sin(rb), Math::cos(rb)) * radius; @@ -4002,8 +4000,8 @@ void CollisionShape3DGizmoPlugin::redraw(EditorNode3DGizmo *p_gizmo) { Vector collision_segments; for (int i = 0; i < 64; i++) { - float ra = i * Math_PI * 2.0 / 64.0; - float rb = (i + 1) * Math_PI * 2.0 / 64.0; + float ra = i * (Math_TAU / 64.0); + float rb = (i + 1) * (Math_TAU / 64.0); Point2 a = Vector2(Math::sin(ra), Math::cos(ra)) * radius; Point2 b = Vector2(Math::sin(rb), Math::cos(rb)) * radius; diff --git a/editor/plugins/canvas_item_editor_plugin.cpp b/editor/plugins/canvas_item_editor_plugin.cpp index 498f9d5c191..72b143556d7 100644 --- a/editor/plugins/canvas_item_editor_plugin.cpp +++ b/editor/plugins/canvas_item_editor_plugin.cpp @@ -216,8 +216,8 @@ public: grid_step_x->set_value(p_grid_step.x); grid_step_y->set_value(p_grid_step.y); primary_grid_steps->set_value(p_primary_grid_steps); - rotation_offset->set_value(p_rotation_offset * (180 / Math_PI)); - rotation_step->set_value(p_rotation_step * (180 / Math_PI)); + rotation_offset->set_value(Math::rad2deg(p_rotation_offset)); + rotation_step->set_value(Math::rad2deg(p_rotation_step)); scale_step->set_value(p_scale_step); } @@ -225,8 +225,8 @@ public: p_grid_offset = Point2(grid_offset_x->get_value(), grid_offset_y->get_value()); p_grid_step = Point2(grid_step_x->get_value(), grid_step_y->get_value()); p_primary_grid_steps = int(primary_grid_steps->get_value()); - p_rotation_offset = rotation_offset->get_value() / (180 / Math_PI); - p_rotation_step = rotation_step->get_value() / (180 / Math_PI); + p_rotation_offset = Math::deg2rad(rotation_offset->get_value()); + p_rotation_step = Math::deg2rad(rotation_step->get_value()); p_scale_step = scale_step->get_value(); } }; @@ -5638,7 +5638,7 @@ CanvasItemEditor::CanvasItemEditor(EditorNode *p_editor) { primary_grid_steps = 8; // A power-of-two value works better as a default grid_step_multiplier = 0; snap_rotation_offset = 0; - snap_rotation_step = 15 / (180 / Math_PI); + snap_rotation_step = Math::deg2rad(15.0); snap_scale_step = 0.1f; smart_snap_active = false; grid_snap_active = false; diff --git a/editor/plugins/editor_preview_plugins.cpp b/editor/plugins/editor_preview_plugins.cpp index bdf88b82e41..63bb785c5ea 100644 --- a/editor/plugins/editor_preview_plugins.cpp +++ b/editor/plugins/editor_preview_plugins.cpp @@ -382,7 +382,9 @@ EditorMaterialPreviewPlugin::EditorMaterialPreviewPlugin() { int lats = 32; int lons = 32; - float radius = 1.0; + const double lat_step = Math_TAU / lats; + const double lon_step = Math_TAU / lons; + real_t radius = 1.0; Vector vertices; Vector normals; @@ -391,20 +393,20 @@ EditorMaterialPreviewPlugin::EditorMaterialPreviewPlugin() { Basis tt = Basis(Vector3(0, 1, 0), Math_PI * 0.5); for (int i = 1; i <= lats; i++) { - double lat0 = Math_PI * (-0.5 + (double)(i - 1) / lats); + double lat0 = lat_step * (i - 1) - Math_TAU / 4; double z0 = Math::sin(lat0); double zr0 = Math::cos(lat0); - double lat1 = Math_PI * (-0.5 + (double)i / lats); + double lat1 = lat_step * i - Math_TAU / 4; double z1 = Math::sin(lat1); double zr1 = Math::cos(lat1); for (int j = lons; j >= 1; j--) { - double lng0 = 2 * Math_PI * (double)(j - 1) / lons; + double lng0 = lon_step * (j - 1); double x0 = Math::cos(lng0); double y0 = Math::sin(lng0); - double lng1 = 2 * Math_PI * (double)(j) / lons; + double lng1 = lon_step * j; double x1 = Math::cos(lng1); double y1 = Math::sin(lng1); diff --git a/editor/plugins/node_3d_editor_plugin.cpp b/editor/plugins/node_3d_editor_plugin.cpp index 6cc28ab2254..3cf25f3335a 100644 --- a/editor/plugins/node_3d_editor_plugin.cpp +++ b/editor/plugins/node_3d_editor_plugin.cpp @@ -5314,9 +5314,10 @@ void Node3DEditor::_init_indicators() { int arrow_sides = 16; + const real_t arrow_sides_step = Math_TAU / arrow_sides; for (int k = 0; k < arrow_sides; k++) { - Basis ma(ivec, Math_PI * 2 * float(k) / arrow_sides); - Basis mb(ivec, Math_PI * 2 * float(k + 1) / arrow_sides); + Basis ma(ivec, k * arrow_sides_step); + Basis mb(ivec, (k + 1) * arrow_sides_step); for (int j = 0; j < arrow_points - 1; j++) { Vector3 points[4] = { @@ -5391,13 +5392,14 @@ void Node3DEditor::_init_indicators() { int n = 128; // number of circle segments int m = 6; // number of thickness segments + real_t step = Math_TAU / n; for (int j = 0; j < n; ++j) { - Basis basis = Basis(ivec, (Math_PI * 2.0f * j) / n); + Basis basis = Basis(ivec, j * step); Vector3 vertex = basis.xform(ivec2 * GIZMO_CIRCLE_SIZE); for (int k = 0; k < m; ++k) { - Vector2 ofs = Vector2(Math::cos((Math_PI * 2.0 * k) / m), Math::sin((Math_PI * 2.0 * k) / m)); + Vector2 ofs = Vector2(Math::cos((Math_TAU * k) / m), Math::sin((Math_TAU * k) / m)); Vector3 normal = ivec * ofs.x + ivec2 * ofs.y; surftool->set_normal(basis.xform(normal)); @@ -5524,9 +5526,10 @@ void Node3DEditor::_init_indicators() { int arrow_sides = 4; + const real_t arrow_sides_step = Math_TAU / arrow_sides; for (int k = 0; k < 4; k++) { - Basis ma(ivec, Math_PI * 2 * float(k) / arrow_sides); - Basis mb(ivec, Math_PI * 2 * float(k + 1) / arrow_sides); + Basis ma(ivec, k * arrow_sides_step); + Basis mb(ivec, (k + 1) * arrow_sides_step); for (int j = 0; j < arrow_points - 1; j++) { Vector3 points[4] = { diff --git a/modules/csg/csg_shape.cpp b/modules/csg/csg_shape.cpp index 042c3aaca7d..e348f8a568d 100644 --- a/modules/csg/csg_shape.cpp +++ b/modules/csg/csg_shape.cpp @@ -927,25 +927,27 @@ CSGBrush *CSGSphere3D::_build_brush() { bool *invertw = invert.ptrw(); int face = 0; + const double lat_step = Math_TAU / rings; + const double lon_step = Math_TAU / radial_segments; for (int i = 1; i <= rings; i++) { - double lat0 = Math_PI * (-0.5 + (double)(i - 1) / rings); + double lat0 = lat_step * (i - 1) - Math_TAU / 4; double z0 = Math::sin(lat0); double zr0 = Math::cos(lat0); double u0 = double(i - 1) / rings; - double lat1 = Math_PI * (-0.5 + (double)i / rings); + double lat1 = lat_step * i - Math_TAU / 4; double z1 = Math::sin(lat1); double zr1 = Math::cos(lat1); double u1 = double(i) / rings; for (int j = radial_segments; j >= 1; j--) { - double lng0 = 2 * Math_PI * (double)(j - 1) / radial_segments; + double lng0 = lon_step * (j - 1); double x0 = Math::cos(lng0); double y0 = Math::sin(lng0); double v0 = double(i - 1) / radial_segments; - double lng1 = 2 * Math_PI * (double)(j) / radial_segments; + double lng1 = lon_step * j; double x1 = Math::cos(lng1); double y1 = Math::sin(lng1); double v1 = double(i) / radial_segments; @@ -1266,8 +1268,8 @@ CSGBrush *CSGCylinder3D::_build_brush() { float inc = float(i) / sides; float inc_n = float((i + 1)) / sides; - float ang = inc * Math_PI * 2.0; - float ang_n = inc_n * Math_PI * 2.0; + float ang = inc * Math_TAU; + float ang_n = inc_n * Math_TAU; Vector3 base(Math::cos(ang), 0, Math::sin(ang)); Vector3 base_n(Math::cos(ang_n), 0, Math::sin(ang_n)); @@ -1508,8 +1510,8 @@ CSGBrush *CSGTorus3D::_build_brush() { float inci = float(i) / sides; float inci_n = float((i + 1)) / sides; - float angi = inci * Math_PI * 2.0; - float angi_n = inci_n * Math_PI * 2.0; + float angi = inci * Math_TAU; + float angi_n = inci_n * Math_TAU; Vector3 normali = Vector3(Math::cos(angi), 0, Math::sin(angi)); Vector3 normali_n = Vector3(Math::cos(angi_n), 0, Math::sin(angi_n)); @@ -1518,8 +1520,8 @@ CSGBrush *CSGTorus3D::_build_brush() { float incj = float(j) / ring_sides; float incj_n = float((j + 1)) / ring_sides; - float angj = incj * Math_PI * 2.0; - float angj_n = incj_n * Math_PI * 2.0; + float angj = incj * Math_TAU; + float angj_n = incj_n * Math_TAU; Vector2 normalj = Vector2(Math::cos(angj), Math::sin(angj)) * radius + Vector2(min_radius + radius, 0); Vector2 normalj_n = Vector2(Math::cos(angj_n), Math::sin(angj_n)) * radius + Vector2(min_radius + radius, 0); @@ -1891,8 +1893,8 @@ CSGBrush *CSGPolygon3D::_build_brush() { float inci = float(i) / spin_sides; float inci_n = float((i + 1)) / spin_sides; - float angi = -(inci * spin_degrees / 360.0) * Math_PI * 2.0; - float angi_n = -(inci_n * spin_degrees / 360.0) * Math_PI * 2.0; + float angi = -Math::deg2rad(inci * spin_degrees); + float angi_n = -Math::deg2rad(inci_n * spin_degrees); Vector3 normali = Vector3(Math::cos(angi), 0, Math::sin(angi)); Vector3 normali_n = Vector3(Math::cos(angi_n), 0, Math::sin(angi_n)); diff --git a/modules/opensimplex/open_simplex_noise.cpp b/modules/opensimplex/open_simplex_noise.cpp index e4e2e0613a8..a823bcf3b85 100644 --- a/modules/opensimplex/open_simplex_noise.cpp +++ b/modules/opensimplex/open_simplex_noise.cpp @@ -131,10 +131,10 @@ Ref OpenSimplexNoise::get_seamless_image(int p_size) const { float ii = (float)i / (float)p_size; float jj = (float)j / (float)p_size; - ii *= 2.0 * Math_PI; - jj *= 2.0 * Math_PI; + ii *= Math_TAU; + jj *= Math_TAU; - float radius = p_size / (2.0 * Math_PI); + float radius = p_size / Math_TAU; float x = radius * Math::sin(jj); float y = radius * Math::cos(jj); diff --git a/scene/2d/cpu_particles_2d.cpp b/scene/2d/cpu_particles_2d.cpp index 7c9bd118d86..a19347caa82 100644 --- a/scene/2d/cpu_particles_2d.cpp +++ b/scene/2d/cpu_particles_2d.cpp @@ -700,7 +700,7 @@ void CPUParticles2D::_particles_process(float p_delta) { p.hue_rot_rand = Math::randf(); p.anim_offset_rand = Math::randf(); - float angle1_rad = Math::atan2(direction.y, direction.x) + (Math::randf() * 2.0 - 1.0) * Math_PI * spread / 180.0; + float angle1_rad = Math::atan2(direction.y, direction.x) + Math::deg2rad((Math::randf() * 2.0 - 1.0) * spread); Vector2 rot = Vector2(Math::cos(angle1_rad), Math::sin(angle1_rad)); p.velocity = rot * parameters[PARAM_INITIAL_LINEAR_VELOCITY] * Math::lerp(1.0f, float(Math::randf()), randomness[PARAM_INITIAL_LINEAR_VELOCITY]); @@ -721,7 +721,7 @@ void CPUParticles2D::_particles_process(float p_delta) { //do none } break; case EMISSION_SHAPE_SPHERE: { - float s = Math::randf(), t = 2.0 * Math_PI * Math::randf(); + float s = Math::randf(), t = Math_TAU * Math::randf(); float radius = emission_sphere_radius * Math::sqrt(1.0 - s * s); p.transform[2] = Vector2(Math::cos(t), Math::sin(t)) * radius; } break; @@ -837,7 +837,7 @@ void CPUParticles2D::_particles_process(float p_delta) { //orbit velocity float orbit_amount = (parameters[PARAM_ORBIT_VELOCITY] + tex_orbit_velocity) * Math::lerp(1.0f, rand_from_seed(alt_seed), randomness[PARAM_ORBIT_VELOCITY]); if (orbit_amount != 0.0) { - float ang = orbit_amount * local_delta * Math_PI * 2.0; + float ang = orbit_amount * local_delta * Math_TAU; // Not sure why the ParticlesMaterial code uses a clockwise rotation matrix, // but we use -ang here to reproduce its behavior. Transform2D rot = Transform2D(-ang, Vector2()); @@ -877,7 +877,7 @@ void CPUParticles2D::_particles_process(float p_delta) { tex_hue_variation = curve_parameters[PARAM_HUE_VARIATION]->interpolate(p.custom[1]); } - float hue_rot_angle = (parameters[PARAM_HUE_VARIATION] + tex_hue_variation) * Math_PI * 2.0 * Math::lerp(1.0f, p.hue_rot_rand * 2.0f - 1.0f, randomness[PARAM_HUE_VARIATION]); + float hue_rot_angle = (parameters[PARAM_HUE_VARIATION] + tex_hue_variation) * Math_TAU * Math::lerp(1.0f, p.hue_rot_rand * 2.0f - 1.0f, randomness[PARAM_HUE_VARIATION]); float hue_rot_c = Math::cos(hue_rot_angle); float hue_rot_s = Math::sin(hue_rot_angle); diff --git a/scene/2d/line_builder.cpp b/scene/2d/line_builder.cpp index 2f4459785ba..5e48a61ff7e 100644 --- a/scene/2d/line_builder.cpp +++ b/scene/2d/line_builder.cpp @@ -554,7 +554,7 @@ void LineBuilder::new_arc(Vector2 center, Vector2 vbegin, float angle_delta, Col float t = Vector2(1, 0).angle_to(vbegin); float end_angle = t + angle_delta; Vector2 rpos(0, 0); - float tt_begin = -Math_PI / 2.f; + float tt_begin = -Math_PI / 2.0f; float tt = tt_begin; // Center vertice diff --git a/scene/3d/cpu_particles_3d.cpp b/scene/3d/cpu_particles_3d.cpp index 3562f7b7788..c36c135fe65 100644 --- a/scene/3d/cpu_particles_3d.cpp +++ b/scene/3d/cpu_particles_3d.cpp @@ -676,13 +676,13 @@ void CPUParticles3D::_particles_process(float p_delta) { p.anim_offset_rand = Math::randf(); if (particle_flags[PARTICLE_FLAG_DISABLE_Z]) { - float angle1_rad = Math::atan2(direction.y, direction.x) + (Math::randf() * 2.0 - 1.0) * Math_PI * spread / 180.0; + float angle1_rad = Math::atan2(direction.y, direction.x) + Math::deg2rad((Math::randf() * 2.0 - 1.0) * spread); Vector3 rot = Vector3(Math::cos(angle1_rad), Math::sin(angle1_rad), 0.0); p.velocity = rot * parameters[PARAM_INITIAL_LINEAR_VELOCITY] * Math::lerp(1.0f, float(Math::randf()), randomness[PARAM_INITIAL_LINEAR_VELOCITY]); } else { //initiate velocity spread in 3D - float angle1_rad = Math::atan2(direction.x, direction.z) + (Math::randf() * 2.0 - 1.0) * Math_PI * spread / 180.0; - float angle2_rad = Math::atan2(direction.y, Math::abs(direction.z)) + (Math::randf() * 2.0 - 1.0) * (1.0 - flatness) * Math_PI * spread / 180.0; + float angle1_rad = Math::atan2(direction.x, direction.z) + Math::deg2rad((Math::randf() * 2.0 - 1.0) * spread); + float angle2_rad = Math::atan2(direction.y, Math::abs(direction.z)) + Math::deg2rad((Math::randf() * 2.0 - 1.0) * (1.0 - flatness) * spread); Vector3 direction_xz = Vector3(Math::sin(angle1_rad), 0, Math::cos(angle1_rad)); Vector3 direction_yz = Vector3(0, Math::sin(angle2_rad), Math::cos(angle2_rad)); @@ -706,8 +706,9 @@ void CPUParticles3D::_particles_process(float p_delta) { //do none } break; case EMISSION_SHAPE_SPHERE: { - float s = 2.0 * Math::randf() - 1.0, t = 2.0 * Math_PI * Math::randf(); - float radius = emission_sphere_radius * Math::sqrt(1.0 - s * s); + real_t s = 2.0 * Math::randf() - 1.0; + real_t t = Math_TAU * Math::randf(); + real_t radius = emission_sphere_radius * Math::sqrt(1.0 - s * s); p.transform.origin = Vector3(radius * Math::cos(t), radius * Math::sin(t), emission_sphere_radius * s); } break; case EMISSION_SHAPE_BOX: { @@ -855,7 +856,7 @@ void CPUParticles3D::_particles_process(float p_delta) { if (particle_flags[PARTICLE_FLAG_DISABLE_Z]) { float orbit_amount = (parameters[PARAM_ORBIT_VELOCITY] + tex_orbit_velocity) * Math::lerp(1.0f, rand_from_seed(alt_seed), randomness[PARAM_ORBIT_VELOCITY]); if (orbit_amount != 0.0) { - float ang = orbit_amount * local_delta * Math_PI * 2.0; + float ang = orbit_amount * local_delta * Math_TAU; // Not sure why the ParticlesMaterial code uses a clockwise rotation matrix, // but we use -ang here to reproduce its behavior. Transform2D rot = Transform2D(-ang, Vector2()); @@ -895,7 +896,7 @@ void CPUParticles3D::_particles_process(float p_delta) { tex_hue_variation = curve_parameters[PARAM_HUE_VARIATION]->interpolate(p.custom[1]); } - float hue_rot_angle = (parameters[PARAM_HUE_VARIATION] + tex_hue_variation) * Math_PI * 2.0 * Math::lerp(1.0f, p.hue_rot_rand * 2.0f - 1.0f, randomness[PARAM_HUE_VARIATION]); + float hue_rot_angle = (parameters[PARAM_HUE_VARIATION] + tex_hue_variation) * Math_TAU * Math::lerp(1.0f, p.hue_rot_rand * 2.0f - 1.0f, randomness[PARAM_HUE_VARIATION]); float hue_rot_c = Math::cos(hue_rot_angle); float hue_rot_s = Math::sin(hue_rot_angle); diff --git a/scene/3d/immediate_geometry_3d.cpp b/scene/3d/immediate_geometry_3d.cpp index 17410d58708..47242cf196d 100644 --- a/scene/3d/immediate_geometry_3d.cpp +++ b/scene/3d/immediate_geometry_3d.cpp @@ -87,21 +87,24 @@ Vector ImmediateGeometry3D::get_faces(uint32_t p_usage_flags) const { } void ImmediateGeometry3D::add_sphere(int p_lats, int p_lons, float p_radius, bool p_add_uv) { + const double lat_step = Math_TAU / p_lats; + const double lon_step = Math_TAU / p_lons; + for (int i = 1; i <= p_lats; i++) { - double lat0 = Math_PI * (-0.5 + (double)(i - 1) / p_lats); + double lat0 = lat_step * (i - 1) - Math_TAU / 4; double z0 = Math::sin(lat0); double zr0 = Math::cos(lat0); - double lat1 = Math_PI * (-0.5 + (double)i / p_lats); + double lat1 = lat_step * i - Math_TAU / 4; double z1 = Math::sin(lat1); double zr1 = Math::cos(lat1); for (int j = p_lons; j >= 1; j--) { - double lng0 = 2 * Math_PI * (double)(j - 1) / p_lons; + double lng0 = lon_step * (j - 1); double x0 = Math::cos(lng0); double y0 = Math::sin(lng0); - double lng1 = 2 * Math_PI * (double)(j) / p_lons; + double lng1 = lon_step * j; double x1 = Math::cos(lng1); double y1 = Math::sin(lng1); diff --git a/scene/3d/node_3d.cpp b/scene/3d/node_3d.cpp index 503dd5735bd..55eaeed9b8b 100644 --- a/scene/3d/node_3d.cpp +++ b/scene/3d/node_3d.cpp @@ -330,7 +330,7 @@ void Node3D::set_rotation(const Vector3 &p_euler_rad) { } void Node3D::set_rotation_degrees(const Vector3 &p_euler_deg) { - set_rotation(p_euler_deg * Math_PI / 180.0); + set_rotation(p_euler_deg * (Math_PI / 180.0)); } void Node3D::set_scale(const Vector3 &p_scale) { @@ -364,7 +364,7 @@ Vector3 Node3D::get_rotation() const { } Vector3 Node3D::get_rotation_degrees() const { - return get_rotation() * 180.0 / Math_PI; + return get_rotation() * (180.0 / Math_PI); } Vector3 Node3D::get_scale() const { diff --git a/scene/3d/physics_body_3d.cpp b/scene/3d/physics_body_3d.cpp index 5645923f229..cf5fd21e791 100644 --- a/scene/3d/physics_body_3d.cpp +++ b/scene/3d/physics_body_3d.cpp @@ -2381,11 +2381,11 @@ Vector3 PhysicalBone3D::get_joint_rotation() const { } void PhysicalBone3D::set_joint_rotation_degrees(const Vector3 &p_euler_deg) { - set_joint_rotation(p_euler_deg * Math_PI / 180.0); + set_joint_rotation(p_euler_deg * (Math_PI / 180.0)); } Vector3 PhysicalBone3D::get_joint_rotation_degrees() const { - return get_joint_rotation() * 180.0 / Math_PI; + return get_joint_rotation() * (180.0 / Math_PI); } const Transform &PhysicalBone3D::get_body_offset() const { diff --git a/scene/resources/capsule_shape_2d.cpp b/scene/resources/capsule_shape_2d.cpp index 6041f4a8b0f..63d90a8364e 100644 --- a/scene/resources/capsule_shape_2d.cpp +++ b/scene/resources/capsule_shape_2d.cpp @@ -36,12 +36,13 @@ Vector CapsuleShape2D::_get_points() const { Vector points; + const real_t turn_step = Math_TAU / 24.0; for (int i = 0; i < 24; i++) { Vector2 ofs = Vector2(0, (i > 6 && i <= 18) ? -get_height() * 0.5 : get_height() * 0.5); - points.push_back(Vector2(Math::sin(i * Math_PI * 2 / 24.0), Math::cos(i * Math_PI * 2 / 24.0)) * get_radius() + ofs); + points.push_back(Vector2(Math::sin(i * turn_step), Math::cos(i * turn_step)) * get_radius() + ofs); if (i == 6 || i == 18) { - points.push_back(Vector2(Math::sin(i * Math_PI * 2 / 24.0), Math::cos(i * Math_PI * 2 / 24.0)) * get_radius() - ofs); + points.push_back(Vector2(Math::sin(i * turn_step), Math::cos(i * turn_step)) * get_radius() - ofs); } } diff --git a/scene/resources/circle_shape_2d.cpp b/scene/resources/circle_shape_2d.cpp index ba49587d9d1..a44c1b68bf4 100644 --- a/scene/resources/circle_shape_2d.cpp +++ b/scene/resources/circle_shape_2d.cpp @@ -71,8 +71,9 @@ real_t CircleShape2D::get_enclosing_radius() const { void CircleShape2D::draw(const RID &p_to_rid, const Color &p_color) { Vector points; + const real_t turn_step = Math_TAU / 24.0; for (int i = 0; i < 24; i++) { - points.push_back(Vector2(Math::cos(i * Math_PI * 2 / 24.0), Math::sin(i * Math_PI * 2 / 24.0)) * get_radius()); + points.push_back(Vector2(Math::cos(i * turn_step), Math::sin(i * turn_step)) * get_radius()); } Vector col; diff --git a/scene/resources/primitive_meshes.cpp b/scene/resources/primitive_meshes.cpp index a6e9e7b5d21..398bce06023 100644 --- a/scene/resources/primitive_meshes.cpp +++ b/scene/resources/primitive_meshes.cpp @@ -304,8 +304,8 @@ void CapsuleMesh::_create_mesh_array(Array &p_arr) const { u = i; u /= radial_segments; - x = -sin(u * (Math_PI * 2.0)); - z = cos(u * (Math_PI * 2.0)); + x = -sin(u * Math_TAU); + z = cos(u * Math_TAU); Vector3 p = Vector3(x * radius * w, y, -z * radius * w); points.push_back(p + Vector3(0.0, 0.5 * mid_height, 0.0)); @@ -343,8 +343,8 @@ void CapsuleMesh::_create_mesh_array(Array &p_arr) const { u = i; u /= radial_segments; - x = -sin(u * (Math_PI * 2.0)); - z = cos(u * (Math_PI * 2.0)); + x = -sin(u * Math_TAU); + z = cos(u * Math_TAU); Vector3 p = Vector3(x * radius, y, -z * radius); points.push_back(p); @@ -383,8 +383,8 @@ void CapsuleMesh::_create_mesh_array(Array &p_arr) const { float u2 = i; u2 /= radial_segments; - x = -sin(u2 * (Math_PI * 2.0)); - z = cos(u2 * (Math_PI * 2.0)); + x = -sin(u2 * Math_TAU); + z = cos(u2 * Math_TAU); Vector3 p = Vector3(x * radius * w, y, -z * radius * w); points.push_back(p + Vector3(0.0, -0.5 * mid_height, 0.0)); @@ -769,8 +769,8 @@ void CylinderMesh::_create_mesh_array(Array &p_arr) const { u = i; u /= radial_segments; - x = sin(u * (Math_PI * 2.0)); - z = cos(u * (Math_PI * 2.0)); + x = sin(u * Math_TAU); + z = cos(u * Math_TAU); Vector3 p = Vector3(x * radius, y, z * radius); points.push_back(p); @@ -809,8 +809,8 @@ void CylinderMesh::_create_mesh_array(Array &p_arr) const { float r = i; r /= radial_segments; - x = sin(r * (Math_PI * 2.0)); - z = cos(r * (Math_PI * 2.0)); + x = sin(r * Math_TAU); + z = cos(r * Math_TAU); u = ((x + 1.0) * 0.25); v = 0.5 + ((z + 1.0) * 0.25); @@ -845,8 +845,8 @@ void CylinderMesh::_create_mesh_array(Array &p_arr) const { float r = i; r /= radial_segments; - x = sin(r * (Math_PI * 2.0)); - z = cos(r * (Math_PI * 2.0)); + x = sin(r * Math_TAU); + z = cos(r * Math_TAU); u = 0.5 + ((x + 1.0) * 0.25); v = 1.0 - ((z + 1.0) * 0.25); @@ -1458,8 +1458,8 @@ void SphereMesh::_create_mesh_array(Array &p_arr) const { float u = i; u /= radial_segments; - x = sin(u * (Math_PI * 2.0)); - z = cos(u * (Math_PI * 2.0)); + x = sin(u * Math_TAU); + z = cos(u * Math_TAU); if (is_hemisphere && y < 0.0) { points.push_back(Vector3(x * radius * w, 0.0, z * radius * w)); diff --git a/scene/resources/style_box.cpp b/scene/resources/style_box.cpp index 93bab1b042e..96c552159e0 100644 --- a/scene/resources/style_box.cpp +++ b/scene/resources/style_box.cpp @@ -576,8 +576,8 @@ inline void draw_ring(Vector &verts, Vector &indices, Vectorb0, cy = 0.0; diff --git a/servers/audio/effects/audio_effect_chorus.cpp b/servers/audio/effects/audio_effect_chorus.cpp index 1542273a24c..76a995eb375 100644 --- a/servers/audio/effects/audio_effect_chorus.cpp +++ b/servers/audio/effects/audio_effect_chorus.cpp @@ -84,7 +84,7 @@ void AudioEffectChorusInstance::_process_chunk(const AudioFrame *p_src_frames, A if (v.cutoff == 0) { continue; } - float auxlp = expf(-2.0 * Math_PI * v.cutoff / mix_rate); + float auxlp = expf(-Math_TAU * v.cutoff / mix_rate); float c1 = 1.0 - auxlp; float c2 = auxlp; AudioFrame h = filter_h[vc]; @@ -104,7 +104,7 @@ void AudioEffectChorusInstance::_process_chunk(const AudioFrame *p_src_frames, A float phase = (float)(local_cycles & AudioEffectChorus::CYCLES_MASK) / (float)(1 << AudioEffectChorus::CYCLES_FRAC); - float wave_delay = sinf(phase * 2.0 * Math_PI) * max_depth_frames; + float wave_delay = sinf(phase * Math_TAU) * max_depth_frames; int wave_delay_frames = lrint(floor(wave_delay)); float wave_delay_frac = wave_delay - (float)wave_delay_frames; diff --git a/servers/audio/effects/audio_effect_delay.cpp b/servers/audio/effects/audio_effect_delay.cpp index f04ab45ec17..ba50eeb0a39 100644 --- a/servers/audio/effects/audio_effect_delay.cpp +++ b/servers/audio/effects/audio_effect_delay.cpp @@ -75,7 +75,7 @@ void AudioEffectDelayInstance::_process_chunk(const AudioFrame *p_src_frames, Au tap2_vol.r *= CLAMP(1.0 + base->tap_2_pan, 0, 1); // feedback lowpass here - float lpf_c = expf(-2.0 * Math_PI * base->feedback_lowpass / mix_rate); // 0 .. 10khz + float lpf_c = expf(-Math_TAU * base->feedback_lowpass / mix_rate); // 0 .. 10khz float lpf_ic = 1.0 - lpf_c; const AudioFrame *src = p_src_frames; diff --git a/servers/audio/effects/audio_effect_distortion.cpp b/servers/audio/effects/audio_effect_distortion.cpp index 8f713ace22f..b79434e7c25 100644 --- a/servers/audio/effects/audio_effect_distortion.cpp +++ b/servers/audio/effects/audio_effect_distortion.cpp @@ -36,8 +36,8 @@ void AudioEffectDistortionInstance::process(const AudioFrame *p_src_frames, Audi const float *src = (const float *)p_src_frames; float *dst = (float *)p_dst_frames; - //float lpf_c=expf(-2.0*Math_PI*keep_hf_hz.get()/(mix_rate*(float)OVERSAMPLE)); - float lpf_c = expf(-2.0 * Math_PI * base->keep_hf_hz / (AudioServer::get_singleton()->get_mix_rate())); + //float lpf_c=expf(-Math_TAU*keep_hf_hz.get()/(mix_rate*(float)OVERSAMPLE)); + float lpf_c = expf(-Math_TAU * base->keep_hf_hz / (AudioServer::get_singleton()->get_mix_rate())); float lpf_ic = 1.0 - lpf_c; float drive_f = base->drive; diff --git a/servers/audio/effects/audio_effect_phaser.cpp b/servers/audio/effects/audio_effect_phaser.cpp index 5e4e183ccfa..9b70f03a19c 100644 --- a/servers/audio/effects/audio_effect_phaser.cpp +++ b/servers/audio/effects/audio_effect_phaser.cpp @@ -38,13 +38,13 @@ void AudioEffectPhaserInstance::process(const AudioFrame *p_src_frames, AudioFra float dmin = base->range_min / (sampling_rate / 2.0); float dmax = base->range_max / (sampling_rate / 2.0); - float increment = 2.f * Math_PI * (base->rate / sampling_rate); + float increment = Math_TAU * (base->rate / sampling_rate); for (int i = 0; i < p_frame_count; i++) { phase += increment; - while (phase >= Math_PI * 2.f) { - phase -= Math_PI * 2.f; + while (phase >= Math_TAU) { + phase -= Math_TAU; } float d = dmin + (dmax - dmin) * ((sin(phase) + 1.f) / 2.f); diff --git a/servers/audio/effects/audio_effect_spectrum_analyzer.cpp b/servers/audio/effects/audio_effect_spectrum_analyzer.cpp index 7f73f2e8805..3f7ab74a741 100644 --- a/servers/audio/effects/audio_effect_spectrum_analyzer.cpp +++ b/servers/audio/effects/audio_effect_spectrum_analyzer.cpp @@ -110,10 +110,11 @@ void AudioEffectSpectrumAnalyzerInstance::process(const AudioFrame *p_src_frames while (p_frame_count) { int to_fill = fft_size * 2 - temporal_fft_pos; to_fill = MIN(to_fill, p_frame_count); + const double to_fill_step = Math_TAU / (double)fft_size; float *fftw = temporal_fft.ptrw(); for (int i = 0; i < to_fill; i++) { //left and right buffers - float window = -0.5 * Math::cos(2.0 * Math_PI * (double)temporal_fft_pos / (double)fft_size) + 0.5; + float window = -0.5 * Math::cos(to_fill_step * (double)temporal_fft_pos) + 0.5; fftw[temporal_fft_pos * 2] = window * p_src_frames->l; fftw[temporal_fft_pos * 2 + 1] = 0; fftw[(temporal_fft_pos + fft_size * 2) * 2] = window * p_src_frames->r; diff --git a/servers/audio/effects/eq.cpp b/servers/audio/effects/eq.cpp index 2181411b9eb..e0c3eb6d3aa 100644 --- a/servers/audio/effects/eq.cpp +++ b/servers/audio/effects/eq.cpp @@ -89,8 +89,8 @@ void EQ::recalculate_band_coefficients() { double frq_l = round(frq / pow(2.0, octave_size / 2.0)); double side_gain2 = POW2(Math_SQRT12); - double th = 2.0 * Math_PI * frq / mix_rate; - double th_l = 2.0 * Math_PI * frq_l / mix_rate; + double th = Math_TAU * frq / mix_rate; + double th_l = Math_TAU * frq_l / mix_rate; double c2a = side_gain2 * POW2(cos(th)) - 2.0 * side_gain2 * cos(th_l) * cos(th) + side_gain2 - POW2(sin(th_l)); diff --git a/servers/audio/effects/reverb.cpp b/servers/audio/effects/reverb.cpp index eb96e21659e..7df2f99f675 100644 --- a/servers/audio/effects/reverb.cpp +++ b/servers/audio/effects/reverb.cpp @@ -91,7 +91,7 @@ void Reverb::process(float *p_src, float *p_dst, int p_frames) { } if (params.hpf > 0) { - float hpaux = expf(-2.0 * Math_PI * params.hpf * 6000 / params.mix_rate); + float hpaux = expf(-Math_TAU * params.hpf * 6000 / params.mix_rate); float hp_a1 = (1.0 + hpaux) / 2.0; float hp_a2 = -(1.0 + hpaux) / 2.0; float hp_b1 = hpaux; @@ -293,7 +293,7 @@ void Reverb::update_parameters() { float auxdmp = params.damp / 2.0 + 0.5; //only half the range (0.5 .. 1.0 is enough) auxdmp *= auxdmp; - c.damp = expf(-2.0 * Math_PI * auxdmp * 10000 / params.mix_rate); // 0 .. 10khz + c.damp = expf(-Math_TAU * auxdmp * 10000 / params.mix_rate); // 0 .. 10khz } } diff --git a/servers/physics_2d/space_2d_sw.cpp b/servers/physics_2d/space_2d_sw.cpp index ad5dca37e41..f6d0de6ff2e 100644 --- a/servers/physics_2d/space_2d_sw.cpp +++ b/servers/physics_2d/space_2d_sw.cpp @@ -1328,7 +1328,7 @@ Space2DSW::Space2DSW() { constraint_bias = 0.2; body_linear_velocity_sleep_threshold = GLOBAL_DEF("physics/2d/sleep_threshold_linear", 2.0); - body_angular_velocity_sleep_threshold = GLOBAL_DEF("physics/2d/sleep_threshold_angular", (8.0 / 180.0 * Math_PI)); + body_angular_velocity_sleep_threshold = GLOBAL_DEF("physics/2d/sleep_threshold_angular", Math::deg2rad(8.0)); body_time_to_sleep = GLOBAL_DEF("physics/2d/time_before_sleep", 0.5); ProjectSettings::get_singleton()->set_custom_property_info("physics/2d/time_before_sleep", PropertyInfo(Variant::FLOAT, "physics/2d/time_before_sleep", PROPERTY_HINT_RANGE, "0,5,0.01,or_greater")); diff --git a/servers/physics_3d/joints/cone_twist_joint_3d_sw.cpp b/servers/physics_3d/joints/cone_twist_joint_3d_sw.cpp index 7b10257157c..9c4493f4a20 100644 --- a/servers/physics_3d/joints/cone_twist_joint_3d_sw.cpp +++ b/servers/physics_3d/joints/cone_twist_joint_3d_sw.cpp @@ -92,9 +92,9 @@ ConeTwistJoint3DSW::ConeTwistJoint3DSW(Body3DSW *rbA, Body3DSW *rbB, const Trans m_rbAFrame = rbAFrame; m_rbBFrame = rbBFrame; - m_swingSpan1 = Math_PI / 4.0; - m_swingSpan2 = Math_PI / 4.0; - m_twistSpan = Math_PI * 2; + m_swingSpan1 = Math_TAU / 8.0; + m_swingSpan2 = Math_TAU / 8.0; + m_twistSpan = Math_TAU; m_biasFactor = 0.3f; m_relaxationFactor = 1.0f; diff --git a/servers/physics_3d/space_3d_sw.cpp b/servers/physics_3d/space_3d_sw.cpp index 0395a3339c7..9cc75ac446a 100644 --- a/servers/physics_3d/space_3d_sw.cpp +++ b/servers/physics_3d/space_3d_sw.cpp @@ -1211,7 +1211,7 @@ Space3DSW::Space3DSW() { constraint_bias = 0.01; body_linear_velocity_sleep_threshold = GLOBAL_DEF("physics/3d/sleep_threshold_linear", 0.1); - body_angular_velocity_sleep_threshold = GLOBAL_DEF("physics/3d/sleep_threshold_angular", (8.0 / 180.0 * Math_PI)); + body_angular_velocity_sleep_threshold = GLOBAL_DEF("physics/3d/sleep_threshold_angular", Math::deg2rad(8.0)); body_time_to_sleep = GLOBAL_DEF("physics/3d/time_before_sleep", 0.5); ProjectSettings::get_singleton()->set_custom_property_info("physics/3d/time_before_sleep", PropertyInfo(Variant::FLOAT, "physics/3d/time_before_sleep", PROPERTY_HINT_RANGE, "0,5,0.01,or_greater")); body_angular_velocity_damp_ratio = 10; diff --git a/servers/rendering/renderer_canvas_cull.cpp b/servers/rendering/renderer_canvas_cull.cpp index 2d2847e6ca4..e1ce52661ce 100644 --- a/servers/rendering/renderer_canvas_cull.cpp +++ b/servers/rendering/renderer_canvas_cull.cpp @@ -721,8 +721,10 @@ void RendererCanvasCull::canvas_item_add_circle(RID p_item, const Point2 &p_pos, static const int circle_points = 64; points.resize(circle_points); + const real_t circle_point_step = Math_TAU / circle_points; + for (int i = 0; i < circle_points; i++) { - float angle = (i / float(circle_points)) * 2 * Math_PI; + float angle = i * circle_point_step; points.write[i].x = Math::cos(angle) * p_radius; points.write[i].y = Math::sin(angle) * p_radius; points.write[i] += p_pos; diff --git a/servers/rendering/renderer_rd/renderer_canvas_render_rd.cpp b/servers/rendering/renderer_rd/renderer_canvas_render_rd.cpp index 5b3c3c703fc..6f6388820ec 100644 --- a/servers/rendering/renderer_rd/renderer_canvas_render_rd.cpp +++ b/servers/rendering/renderer_rd/renderer_canvas_render_rd.cpp @@ -1622,7 +1622,7 @@ void RendererCanvasRenderRD::light_update_shadow(RID p_rid, int p_shadow_index, projection.set_frustum(xmin, xmax, ymin, ymax, nearp, farp); } - Vector3 cam_target = Basis(Vector3(0, 0, Math_PI * 2 * ((i + 3) / 4.0))).xform(Vector3(0, 1, 0)); + Vector3 cam_target = Basis(Vector3(0, 0, Math_TAU * ((i + 3) / 4.0))).xform(Vector3(0, 1, 0)); projection = projection * CameraMatrix(Transform().looking_at(cam_target, Vector3(0, 0, -1)).affine_inverse()); ShadowRenderPushConstant push_constant; diff --git a/servers/rendering/renderer_rd/renderer_scene_render_rd.cpp b/servers/rendering/renderer_rd/renderer_scene_render_rd.cpp index 188bcde8d77..c0a0e39704b 100644 --- a/servers/rendering/renderer_rd/renderer_scene_render_rd.cpp +++ b/servers/rendering/renderer_rd/renderer_scene_render_rd.cpp @@ -4877,7 +4877,7 @@ void RendererSceneRenderRD::_debug_sdfgi_probes(RID p_render_buffers, RD::DrawLi push_constant.band_power = 4; push_constant.sections_in_band = ((band_points / 2) - 1); push_constant.band_mask = band_points - 2; - push_constant.section_arc = (Math_PI * 2.0) / float(push_constant.sections_in_band); + push_constant.section_arc = Math_TAU / float(push_constant.sections_in_band); push_constant.y_mult = rb->sdfgi->y_mult; uint32_t total_points = push_constant.sections_in_band * band_points; diff --git a/servers/rendering_server.cpp b/servers/rendering_server.cpp index b87171dc5ec..85fc6a2ea27 100644 --- a/servers/rendering_server.cpp +++ b/servers/rendering_server.cpp @@ -242,22 +242,24 @@ RID RenderingServer::_make_test_cube() { RID RenderingServer::make_sphere_mesh(int p_lats, int p_lons, float p_radius) { Vector vertices; Vector normals; + const double lat_step = Math_TAU / p_lats; + const double lon_step = Math_TAU / p_lons; for (int i = 1; i <= p_lats; i++) { - double lat0 = Math_PI * (-0.5 + (double)(i - 1) / p_lats); + double lat0 = lat_step * (i - 1) - Math_TAU / 4; double z0 = Math::sin(lat0); double zr0 = Math::cos(lat0); - double lat1 = Math_PI * (-0.5 + (double)i / p_lats); + double lat1 = lat_step * i - Math_TAU / 4; double z1 = Math::sin(lat1); double zr1 = Math::cos(lat1); for (int j = p_lons; j >= 1; j--) { - double lng0 = 2 * Math_PI * (double)(j - 1) / p_lons; + double lng0 = lon_step * (j - 1); double x0 = Math::cos(lng0); double y0 = Math::sin(lng0); - double lng1 = 2 * Math_PI * (double)(j) / p_lons; + double lng1 = lon_step * j; double x1 = Math::cos(lng1); double y1 = Math::sin(lng1);