Added constants PI, TAU and E to the shader language

scene/gui/color_picker.cpp

@@ -91,7 +91,6 @@ void ColorPicker::init_shaders() {
 	wheel_shader.instance();
 	wheel_shader->set_code(
 			"shader_type canvas_item;"
-			"const float TAU = 6.28318530718;"
 			"void fragment() {"
 			"	float x = UV.x - 0.5;"
 			"	float y = UV.y - 0.5;"
@@ -111,7 +110,6 @@ void ColorPicker::init_shaders() {
 	circle_shader.instance();
 	circle_shader->set_code(
 			"shader_type canvas_item;"
-			"const float TAU = 6.28318530718;"
 			"uniform float v = 1.0;"
 			"void fragment() {"
 			"	float x = UV.x - 0.5;"

scene/resources/sky_material.cpp

@@ -193,7 +193,6 @@ ProceduralSkyMaterial::ProceduralSkyMaterial() {
 	code += "uniform float ground_energy = 1.0;\n\n";
 	code += "uniform float sun_angle_max = 1.74;\n";
 	code += "uniform float sun_curve : hint_range(0, 1) = 0.05;\n\n";
-	code += "const float PI = 3.1415926535897932384626433833;\n\n";
 	code += "void sky() {\n";
 	code += "\tfloat v_angle = acos(clamp(EYEDIR.y, -1.0, 1.0));\n";
 	code += "\tfloat c = (1.0 - v_angle / (PI * 0.5));\n";
@@ -499,7 +498,6 @@ PhysicalSkyMaterial::PhysicalSkyMaterial() {
 
 	code += "uniform sampler2D night_sky : hint_black;";
 
-	code += "const float PI = 3.141592653589793238462643383279502884197169;\n";
 	code += "const vec3 UP = vec3( 0.0, 1.0, 0.0 );\n\n";
 
 	code += "// Sun constants\n";

servers/rendering/renderer_rd/forward_clustered/scene_shader_forward_clustered.cpp

@@ -30,6 +30,7 @@
 
 #include "scene_shader_forward_clustered.h"
 #include "core/config/project_settings.h"
+#include "core/math/math_defs.h"
 #include "render_forward_clustered.h"
 
 using namespace RendererSceneRenderImplementation;
@@ -608,6 +609,9 @@ void SceneShaderForwardClustered::init(RendererStorageRD *p_storage, const Strin
 		//builtins
 
 		actions.renames["TIME"] = "scene_data.time";
+		actions.renames["PI"] = _MKSTR(Math_PI);
+		actions.renames["TAU"] = _MKSTR(Math_TAU);
+		actions.renames["E"] = _MKSTR(Math_E);
 		actions.renames["VIEWPORT_SIZE"] = "scene_data.viewport_size";
 
 		actions.renames["FRAGCOORD"] = "gl_FragCoord";

servers/rendering/renderer_rd/forward_mobile/scene_shader_forward_mobile.cpp

@@ -30,6 +30,7 @@
 
 #include "scene_shader_forward_mobile.h"
 #include "core/config/project_settings.h"
+#include "core/math/math_defs.h"
 #include "render_forward_mobile.h"
 
 using namespace RendererSceneRenderImplementation;
@@ -625,6 +626,9 @@ void SceneShaderForwardMobile::init(RendererStorageRD *p_storage, const String p
 		//builtins
 
 		actions.renames["TIME"] = "scene_data.time";
+		actions.renames["PI"] = _MKSTR(Math_PI);
+		actions.renames["TAU"] = _MKSTR(Math_TAU);
+		actions.renames["E"] = _MKSTR(Math_E);
 		actions.renames["VIEWPORT_SIZE"] = "scene_data.viewport_size";
 
 		actions.renames["FRAGCOORD"] = "gl_FragCoord";

servers/rendering/renderer_rd/renderer_canvas_render_rd.cpp

@@ -31,6 +31,7 @@
 #include "renderer_canvas_render_rd.h"
 #include "core/config/project_settings.h"
 #include "core/math/geometry_2d.h"
+#include "core/math/math_defs.h"
 #include "core/math/math_funcs.h"
 #include "renderer_compositor_rd.h"
 
@@ -2367,6 +2368,9 @@ RendererCanvasRenderRD::RendererCanvasRenderRD(RendererStorageRD *p_storage) {
 		actions.renames["CANVAS_MATRIX"] = "canvas_data.canvas_transform";
 		actions.renames["SCREEN_MATRIX"] = "canvas_data.screen_transform";
 		actions.renames["TIME"] = "canvas_data.time";
+		actions.renames["PI"] = _MKSTR(Math_PI);
+		actions.renames["TAU"] = _MKSTR(Math_TAU);
+		actions.renames["E"] = _MKSTR(Math_E);
 		actions.renames["AT_LIGHT_PASS"] = "false";
 		actions.renames["INSTANCE_CUSTOM"] = "instance_custom";
 

servers/rendering/renderer_rd/renderer_scene_sky_rd.cpp

@@ -30,6 +30,7 @@
 
 #include "renderer_scene_sky_rd.h"
 #include "core/config/project_settings.h"
+#include "core/math/math_defs.h"
 #include "renderer_scene_render_rd.h"
 #include "servers/rendering/rendering_server_default.h"
 
@@ -710,6 +711,9 @@ void RendererSceneSkyRD::init(RendererStorageRD *p_storage) {
 		actions.renames["SKY_COORDS"] = "panorama_coords";
 		actions.renames["SCREEN_UV"] = "uv";
 		actions.renames["TIME"] = "params.time";
+		actions.renames["PI"] = _MKSTR(Math_PI);
+		actions.renames["TAU"] = _MKSTR(Math_TAU);
+		actions.renames["E"] = _MKSTR(Math_E);
 		actions.renames["HALF_RES_COLOR"] = "half_res_color";
 		actions.renames["QUARTER_RES_COLOR"] = "quarter_res_color";
 		actions.renames["RADIANCE"] = "radiance";

servers/rendering/renderer_rd/renderer_storage_rd.cpp

@@ -33,6 +33,7 @@
 #include "core/config/engine.h"
 #include "core/config/project_settings.h"
 #include "core/io/resource_loader.h"
+#include "core/math/math_defs.h"
 #include "renderer_compositor_rd.h"
 #include "servers/rendering/shader_language.h"
 
@@ -9144,6 +9145,9 @@ RendererStorageRD::RendererStorageRD() {
 		actions.renames["CUSTOM"] = "PARTICLE.custom";
 		actions.renames["TRANSFORM"] = "PARTICLE.xform";
 		actions.renames["TIME"] = "FRAME.time";
+		actions.renames["PI"] = _MKSTR(Math_PI);
+		actions.renames["TAU"] = _MKSTR(Math_TAU);
+		actions.renames["E"] = _MKSTR(Math_E);
 		actions.renames["LIFETIME"] = "params.lifetime";
 		actions.renames["DELTA"] = "local_delta";
 		actions.renames["NUMBER"] = "particle_number";

servers/rendering/shader_types.cpp

@@ -29,6 +29,7 @@
 /*************************************************************************/
 
 #include "shader_types.h"
+#include "core/math/math_defs.h"
 
 const Map<StringName, ShaderLanguage::FunctionInfo> &ShaderTypes::get_functions(RS::ShaderMode p_mode) {
 	return shader_modes[p_mode].functions;
@@ -54,6 +55,9 @@ ShaderTypes::ShaderTypes() {
 	/*************** SPATIAL ***********************/
 
 	shader_modes[RS::SHADER_SPATIAL].functions["global"].built_ins["TIME"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_SPATIAL].functions["global"].built_ins["PI"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_SPATIAL].functions["global"].built_ins["TAU"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_SPATIAL].functions["global"].built_ins["E"] = constt(ShaderLanguage::TYPE_FLOAT);
 
 	shader_modes[RS::SHADER_SPATIAL].functions["vertex"].built_ins["VERTEX"] = ShaderLanguage::TYPE_VEC3;
 	shader_modes[RS::SHADER_SPATIAL].functions["vertex"].built_ins["NORMAL"] = ShaderLanguage::TYPE_VEC3;
@@ -227,6 +231,9 @@ ShaderTypes::ShaderTypes() {
 	/************ CANVAS ITEM **************************/
 
 	shader_modes[RS::SHADER_CANVAS_ITEM].functions["global"].built_ins["TIME"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_CANVAS_ITEM].functions["global"].built_ins["PI"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_CANVAS_ITEM].functions["global"].built_ins["TAU"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_CANVAS_ITEM].functions["global"].built_ins["E"] = constt(ShaderLanguage::TYPE_FLOAT);
 
 	shader_modes[RS::SHADER_CANVAS_ITEM].functions["vertex"].built_ins["VERTEX"] = ShaderLanguage::TYPE_VEC2;
 	shader_modes[RS::SHADER_CANVAS_ITEM].functions["vertex"].built_ins["UV"] = ShaderLanguage::TYPE_VEC2;
@@ -317,6 +324,9 @@ ShaderTypes::ShaderTypes() {
 	/************ PARTICLES **************************/
 
 	shader_modes[RS::SHADER_PARTICLES].functions["global"].built_ins["TIME"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_PARTICLES].functions["global"].built_ins["PI"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_PARTICLES].functions["global"].built_ins["TAU"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_PARTICLES].functions["global"].built_ins["E"] = constt(ShaderLanguage::TYPE_FLOAT);
 
 	shader_modes[RS::SHADER_PARTICLES].functions["start"].built_ins["COLOR"] = ShaderLanguage::TYPE_VEC4;
 	shader_modes[RS::SHADER_PARTICLES].functions["start"].built_ins["VELOCITY"] = ShaderLanguage::TYPE_VEC3;
@@ -381,6 +391,9 @@ ShaderTypes::ShaderTypes() {
 	/************ SKY **************************/
 
 	shader_modes[RS::SHADER_SKY].functions["global"].built_ins["TIME"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_SKY].functions["global"].built_ins["PI"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_SKY].functions["global"].built_ins["TAU"] = constt(ShaderLanguage::TYPE_FLOAT);
+	shader_modes[RS::SHADER_SKY].functions["global"].built_ins["E"] = constt(ShaderLanguage::TYPE_FLOAT);
 	shader_modes[RS::SHADER_SKY].functions["global"].built_ins["POSITION"] = constt(ShaderLanguage::TYPE_VEC3);
 	shader_modes[RS::SHADER_SKY].functions["global"].built_ins["RADIANCE"] = constt(ShaderLanguage::TYPE_SAMPLERCUBE);
 	shader_modes[RS::SHADER_SKY].functions["global"].built_ins["AT_HALF_RES_PASS"] = constt(ShaderLanguage::TYPE_BOOL);