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-rw-r--r--servers/audio/audio_filter_sw.cpp6
-rw-r--r--servers/audio/effects/audio_effect_chorus.cpp4
-rw-r--r--servers/audio/effects/audio_effect_delay.cpp2
-rw-r--r--servers/audio/effects/audio_effect_distortion.cpp4
-rw-r--r--servers/audio/effects/audio_effect_phaser.cpp6
-rw-r--r--servers/audio/effects/audio_effect_spectrum_analyzer.cpp3
-rw-r--r--servers/audio/effects/eq.cpp4
-rw-r--r--servers/audio/effects/reverb.cpp4
-rw-r--r--servers/physics_2d/space_2d_sw.cpp2
-rw-r--r--servers/physics_3d/joints/cone_twist_joint_3d_sw.cpp6
-rw-r--r--servers/physics_3d/space_3d_sw.cpp2
-rw-r--r--servers/rendering/renderer_canvas_cull.cpp4
-rw-r--r--servers/rendering/renderer_rd/renderer_canvas_render_rd.cpp2
-rw-r--r--servers/rendering/renderer_rd/renderer_scene_render_rd.cpp2
-rw-r--r--servers/rendering_server.cpp10
15 files changed, 33 insertions, 28 deletions
diff --git a/servers/audio/audio_filter_sw.cpp b/servers/audio/audio_filter_sw.cpp
index 580e061496..bcfa4c4c37 100644
--- a/servers/audio/audio_filter_sw.cpp
+++ b/servers/audio/audio_filter_sw.cpp
@@ -58,7 +58,7 @@ void AudioFilterSW::prepare_coefficients(Coeffs *p_coeffs) {
final_cutoff = 1; //don't allow less than this
}
- double omega = 2.0 * Math_PI * final_cutoff / sampling_rate;
+ double omega = Math_TAU * final_cutoff / sampling_rate;
double sin_v = Math::sin(omega);
double cos_v = Math::cos(omega);
@@ -132,7 +132,7 @@ void AudioFilterSW::prepare_coefficients(Coeffs *p_coeffs) {
double hicutoff = resonance;
double centercutoff = (cutoff + resonance) / 2.0;
double bandwidth = (Math::log(centercutoff) - Math::log(hicutoff)) / Math::log((double)2);
- omega = 2.0 * Math_PI * centercutoff / sampling_rate;
+ omega = Math_TAU * centercutoff / sampling_rate;
alpha = Math::sin(omega) * Math::sinh(Math::log((double)2) / 2 * bandwidth * omega / Math::sin(omega));
a0 = 1 + alpha;
@@ -197,7 +197,7 @@ void AudioFilterSW::set_stages(int p_stages) { //adjust for multiple stages
/* Fouriertransform kernel to obtain response */
float AudioFilterSW::get_response(float p_freq, Coeffs *p_coeffs) {
- float freq = p_freq / sampling_rate * Math_PI * 2.0f;
+ float freq = p_freq / sampling_rate * Math_TAU;
float cx = p_coeffs->b0, cy = 0.0;
diff --git a/servers/audio/effects/audio_effect_chorus.cpp b/servers/audio/effects/audio_effect_chorus.cpp
index 1542273a24..76a995eb37 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 f04ab45ec1..ba50eeb0a3 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 8f713ace22..b79434e7c2 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 5e4e183ccf..9b70f03a19 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 7f73f2e880..3f7ab74a74 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 2181411b9e..e0c3eb6d3a 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 eb96e21659..7df2f99f67 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 ad5dca37e4..f6d0de6ff2 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 7b10257157..9c4493f4a2 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 0395a3339c..9cc75ac446 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 2d2847e6ca..e1ce52661c 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 5b3c3c703f..6f6388820e 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 188bcde8d7..c0a0e39704 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 b87171dc5e..85fc6a2ea2 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<Vector3> vertices;
Vector<Vector3> 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);