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-rw-r--r--core/math/color_names.inc292
-rw-r--r--core/math/quaternion.cpp19
-rw-r--r--core/math/quaternion.h2
3 files changed, 167 insertions, 146 deletions
diff --git a/core/math/color_names.inc b/core/math/color_names.inc
index 2020bdbfca..654fa83877 100644
--- a/core/math/color_names.inc
+++ b/core/math/color_names.inc
@@ -13,151 +13,151 @@ struct NamedColor {
// modules/mono/glue/GodotSharp/GodotSharp/Core/Colors.cs
static NamedColor named_colors[] = {
- { "ALICE_BLUE", Color(0.94, 0.97, 1.00) },
- { "ANTIQUE_WHITE", Color(0.98, 0.92, 0.84) },
- { "AQUA", Color(0.00, 1.00, 1.00) },
- { "AQUAMARINE", Color(0.50, 1.00, 0.83) },
- { "AZURE", Color(0.94, 1.00, 1.00) },
- { "BEIGE", Color(0.96, 0.96, 0.86) },
- { "BISQUE", Color(1.00, 0.89, 0.77) },
- { "BLACK", Color(0.00, 0.00, 0.00) },
- { "BLANCHED_ALMOND", Color(1.00, 0.92, 0.80) },
- { "BLUE", Color(0.00, 0.00, 1.00) },
- { "BLUE_VIOLET", Color(0.54, 0.17, 0.89) },
- { "BROWN", Color(0.65, 0.16, 0.16) },
- { "BURLYWOOD", Color(0.87, 0.72, 0.53) },
- { "CADET_BLUE", Color(0.37, 0.62, 0.63) },
- { "CHARTREUSE", Color(0.50, 1.00, 0.00) },
- { "CHOCOLATE", Color(0.82, 0.41, 0.12) },
- { "CORAL", Color(1.00, 0.50, 0.31) },
- { "CORNFLOWER_BLUE", Color(0.39, 0.58, 0.93) },
- { "CORNSILK", Color(1.00, 0.97, 0.86) },
- { "CRIMSON", Color(0.86, 0.08, 0.24) },
- { "CYAN", Color(0.00, 1.00, 1.00) },
- { "DARK_BLUE", Color(0.00, 0.00, 0.55) },
- { "DARK_CYAN", Color(0.00, 0.55, 0.55) },
- { "DARK_GOLDENROD", Color(0.72, 0.53, 0.04) },
- { "DARK_GRAY", Color(0.66, 0.66, 0.66) },
- { "DARK_GREEN", Color(0.00, 0.39, 0.00) },
- { "DARK_KHAKI", Color(0.74, 0.72, 0.42) },
- { "DARK_MAGENTA", Color(0.55, 0.00, 0.55) },
- { "DARK_OLIVE_GREEN", Color(0.33, 0.42, 0.18) },
- { "DARK_ORANGE", Color(1.00, 0.55, 0.00) },
- { "DARK_ORCHID", Color(0.60, 0.20, 0.80) },
- { "DARK_RED", Color(0.55, 0.00, 0.00) },
- { "DARK_SALMON", Color(0.91, 0.59, 0.48) },
- { "DARK_SEA_GREEN", Color(0.56, 0.74, 0.56) },
- { "DARK_SLATE_BLUE", Color(0.28, 0.24, 0.55) },
- { "DARK_SLATE_GRAY", Color(0.18, 0.31, 0.31) },
- { "DARK_TURQUOISE", Color(0.00, 0.81, 0.82) },
- { "DARK_VIOLET", Color(0.58, 0.00, 0.83) },
- { "DEEP_PINK", Color(1.00, 0.08, 0.58) },
- { "DEEP_SKY_BLUE", Color(0.00, 0.75, 1.00) },
- { "DIM_GRAY", Color(0.41, 0.41, 0.41) },
- { "DODGER_BLUE", Color(0.12, 0.56, 1.00) },
- { "FIREBRICK", Color(0.70, 0.13, 0.13) },
- { "FLORAL_WHITE", Color(1.00, 0.98, 0.94) },
- { "FOREST_GREEN", Color(0.13, 0.55, 0.13) },
- { "FUCHSIA", Color(1.00, 0.00, 1.00) },
- { "GAINSBORO", Color(0.86, 0.86, 0.86) },
- { "GHOST_WHITE", Color(0.97, 0.97, 1.00) },
- { "GOLD", Color(1.00, 0.84, 0.00) },
- { "GOLDENROD", Color(0.85, 0.65, 0.13) },
- { "GRAY", Color(0.75, 0.75, 0.75) },
- { "GREEN", Color(0.00, 1.00, 0.00) },
- { "GREEN_YELLOW", Color(0.68, 1.00, 0.18) },
- { "HONEYDEW", Color(0.94, 1.00, 0.94) },
- { "HOT_PINK", Color(1.00, 0.41, 0.71) },
- { "INDIAN_RED", Color(0.80, 0.36, 0.36) },
- { "INDIGO", Color(0.29, 0.00, 0.51) },
- { "IVORY", Color(1.00, 1.00, 0.94) },
- { "KHAKI", Color(0.94, 0.90, 0.55) },
- { "LAVENDER", Color(0.90, 0.90, 0.98) },
- { "LAVENDER_BLUSH", Color(1.00, 0.94, 0.96) },
- { "LAWN_GREEN", Color(0.49, 0.99, 0.00) },
- { "LEMON_CHIFFON", Color(1.00, 0.98, 0.80) },
- { "LIGHT_BLUE", Color(0.68, 0.85, 0.90) },
- { "LIGHT_CORAL", Color(0.94, 0.50, 0.50) },
- { "LIGHT_CYAN", Color(0.88, 1.00, 1.00) },
- { "LIGHT_GOLDENROD", Color(0.98, 0.98, 0.82) },
- { "LIGHT_GRAY", Color(0.83, 0.83, 0.83) },
- { "LIGHT_GREEN", Color(0.56, 0.93, 0.56) },
- { "LIGHT_PINK", Color(1.00, 0.71, 0.76) },
- { "LIGHT_SALMON", Color(1.00, 0.63, 0.48) },
- { "LIGHT_SEA_GREEN", Color(0.13, 0.70, 0.67) },
- { "LIGHT_SKY_BLUE", Color(0.53, 0.81, 0.98) },
- { "LIGHT_SLATE_GRAY", Color(0.47, 0.53, 0.60) },
- { "LIGHT_STEEL_BLUE", Color(0.69, 0.77, 0.87) },
- { "LIGHT_YELLOW", Color(1.00, 1.00, 0.88) },
- { "LIME", Color(0.00, 1.00, 0.00) },
- { "LIME_GREEN", Color(0.20, 0.80, 0.20) },
- { "LINEN", Color(0.98, 0.94, 0.90) },
- { "MAGENTA", Color(1.00, 0.00, 1.00) },
- { "MAROON", Color(0.69, 0.19, 0.38) },
- { "MEDIUM_AQUAMARINE", Color(0.40, 0.80, 0.67) },
- { "MEDIUM_BLUE", Color(0.00, 0.00, 0.80) },
- { "MEDIUM_ORCHID", Color(0.73, 0.33, 0.83) },
- { "MEDIUM_PURPLE", Color(0.58, 0.44, 0.86) },
- { "MEDIUM_SEA_GREEN", Color(0.24, 0.70, 0.44) },
- { "MEDIUM_SLATE_BLUE", Color(0.48, 0.41, 0.93) },
- { "MEDIUM_SPRING_GREEN", Color(0.00, 0.98, 0.60) },
- { "MEDIUM_TURQUOISE", Color(0.28, 0.82, 0.80) },
- { "MEDIUM_VIOLET_RED", Color(0.78, 0.08, 0.52) },
- { "MIDNIGHT_BLUE", Color(0.10, 0.10, 0.44) },
- { "MINT_CREAM", Color(0.96, 1.00, 0.98) },
- { "MISTY_ROSE", Color(1.00, 0.89, 0.88) },
- { "MOCCASIN", Color(1.00, 0.89, 0.71) },
- { "NAVAJO_WHITE", Color(1.00, 0.87, 0.68) },
- { "NAVY_BLUE", Color(0.00, 0.00, 0.50) },
- { "OLD_LACE", Color(0.99, 0.96, 0.90) },
- { "OLIVE", Color(0.50, 0.50, 0.00) },
- { "OLIVE_DRAB", Color(0.42, 0.56, 0.14) },
- { "ORANGE", Color(1.00, 0.65, 0.00) },
- { "ORANGE_RED", Color(1.00, 0.27, 0.00) },
- { "ORCHID", Color(0.85, 0.44, 0.84) },
- { "PALE_GOLDENROD", Color(0.93, 0.91, 0.67) },
- { "PALE_GREEN", Color(0.60, 0.98, 0.60) },
- { "PALE_TURQUOISE", Color(0.69, 0.93, 0.93) },
- { "PALE_VIOLET_RED", Color(0.86, 0.44, 0.58) },
- { "PAPAYA_WHIP", Color(1.00, 0.94, 0.84) },
- { "PEACH_PUFF", Color(1.00, 0.85, 0.73) },
- { "PERU", Color(0.80, 0.52, 0.25) },
- { "PINK", Color(1.00, 0.75, 0.80) },
- { "PLUM", Color(0.87, 0.63, 0.87) },
- { "POWDER_BLUE", Color(0.69, 0.88, 0.90) },
- { "PURPLE", Color(0.63, 0.13, 0.94) },
- { "REBECCA_PURPLE", Color(0.40, 0.20, 0.60) },
- { "RED", Color(1.00, 0.00, 0.00) },
- { "ROSY_BROWN", Color(0.74, 0.56, 0.56) },
- { "ROYAL_BLUE", Color(0.25, 0.41, 0.88) },
- { "SADDLE_BROWN", Color(0.55, 0.27, 0.07) },
- { "SALMON", Color(0.98, 0.50, 0.45) },
- { "SANDY_BROWN", Color(0.96, 0.64, 0.38) },
- { "SEA_GREEN", Color(0.18, 0.55, 0.34) },
- { "SEASHELL", Color(1.00, 0.96, 0.93) },
- { "SIENNA", Color(0.63, 0.32, 0.18) },
- { "SILVER", Color(0.75, 0.75, 0.75) },
- { "SKY_BLUE", Color(0.53, 0.81, 0.92) },
- { "SLATE_BLUE", Color(0.42, 0.35, 0.80) },
- { "SLATE_GRAY", Color(0.44, 0.50, 0.56) },
- { "SNOW", Color(1.00, 0.98, 0.98) },
- { "SPRING_GREEN", Color(0.00, 1.00, 0.50) },
- { "STEEL_BLUE", Color(0.27, 0.51, 0.71) },
- { "TAN", Color(0.82, 0.71, 0.55) },
- { "TEAL", Color(0.00, 0.50, 0.50) },
- { "THISTLE", Color(0.85, 0.75, 0.85) },
- { "TOMATO", Color(1.00, 0.39, 0.28) },
- { "TRANSPARENT", Color(1.00, 1.00, 1.00, 0.00) },
- { "TURQUOISE", Color(0.25, 0.88, 0.82) },
- { "VIOLET", Color(0.93, 0.51, 0.93) },
- { "WEB_GRAY", Color(0.50, 0.50, 0.50) },
- { "WEB_GREEN", Color(0.00, 0.50, 0.00) },
- { "WEB_MAROON", Color(0.50, 0.00, 0.00) },
- { "WEB_PURPLE", Color(0.50, 0.00, 0.50) },
- { "WHEAT", Color(0.96, 0.87, 0.70) },
- { "WHITE", Color(1.00, 1.00, 1.00) },
- { "WHITE_SMOKE", Color(0.96, 0.96, 0.96) },
- { "YELLOW", Color(1.00, 1.00, 0.00) },
- { "YELLOW_GREEN", Color(0.60, 0.80, 0.20) },
+ { "ALICE_BLUE", Color::hex(0xF0F8FFFF) },
+ { "ANTIQUE_WHITE", Color::hex(0xFAEBD7FF) },
+ { "AQUA", Color::hex(0x00FFFFFF) },
+ { "AQUAMARINE", Color::hex(0x7FFFD4FF) },
+ { "AZURE", Color::hex(0xF0FFFFFF) },
+ { "BEIGE", Color::hex(0xF5F5DCFF) },
+ { "BISQUE", Color::hex(0xFFE4C4FF) },
+ { "BLACK", Color::hex(0x000000FF) },
+ { "BLANCHED_ALMOND", Color::hex(0xFFEBCDFF) },
+ { "BLUE", Color::hex(0x0000FFFF) },
+ { "BLUE_VIOLET", Color::hex(0x8A2BE2FF) },
+ { "BROWN", Color::hex(0xA52A2AFF) },
+ { "BURLYWOOD", Color::hex(0xDEB887FF) },
+ { "CADET_BLUE", Color::hex(0x5F9EA0FF) },
+ { "CHARTREUSE", Color::hex(0x7FFF00FF) },
+ { "CHOCOLATE", Color::hex(0xD2691EFF) },
+ { "CORAL", Color::hex(0xFF7F50FF) },
+ { "CORNFLOWER_BLUE", Color::hex(0x6495EDFF) },
+ { "CORNSILK", Color::hex(0xFFF8DCFF) },
+ { "CRIMSON", Color::hex(0xDC143CFF) },
+ { "CYAN", Color::hex(0x00FFFFFF) },
+ { "DARK_BLUE", Color::hex(0x00008BFF) },
+ { "DARK_CYAN", Color::hex(0x008B8BFF) },
+ { "DARK_GOLDENROD", Color::hex(0xB8860BFF) },
+ { "DARK_GRAY", Color::hex(0xA9A9A9FF) },
+ { "DARK_GREEN", Color::hex(0x006400FF) },
+ { "DARK_KHAKI", Color::hex(0xBDB76BFF) },
+ { "DARK_MAGENTA", Color::hex(0x8B008BFF) },
+ { "DARK_OLIVE_GREEN", Color::hex(0x556B2FFF) },
+ { "DARK_ORANGE", Color::hex(0xFF8C00FF) },
+ { "DARK_ORCHID", Color::hex(0x9932CCFF) },
+ { "DARK_RED", Color::hex(0x8B0000FF) },
+ { "DARK_SALMON", Color::hex(0xE9967AFF) },
+ { "DARK_SEA_GREEN", Color::hex(0x8FBC8FFF) },
+ { "DARK_SLATE_BLUE", Color::hex(0x483D8BFF) },
+ { "DARK_SLATE_GRAY", Color::hex(0x2F4F4FFF) },
+ { "DARK_TURQUOISE", Color::hex(0x00CED1FF) },
+ { "DARK_VIOLET", Color::hex(0x9400D3FF) },
+ { "DEEP_PINK", Color::hex(0xFF1493FF) },
+ { "DEEP_SKY_BLUE", Color::hex(0x00BFFFFF) },
+ { "DIM_GRAY", Color::hex(0x696969FF) },
+ { "DODGER_BLUE", Color::hex(0x1E90FFFF) },
+ { "FIREBRICK", Color::hex(0xB22222FF) },
+ { "FLORAL_WHITE", Color::hex(0xFFFAF0FF) },
+ { "FOREST_GREEN", Color::hex(0x228B22FF) },
+ { "FUCHSIA", Color::hex(0xFF00FFFF) },
+ { "GAINSBORO", Color::hex(0xDCDCDCFF) },
+ { "GHOST_WHITE", Color::hex(0xF8F8FFFF) },
+ { "GOLD", Color::hex(0xFFD700FF) },
+ { "GOLDENROD", Color::hex(0xDAA520FF) },
+ { "GRAY", Color::hex(0xBEBEBEFF) },
+ { "GREEN", Color::hex(0x00FF00FF) },
+ { "GREEN_YELLOW", Color::hex(0xADFF2FFF) },
+ { "HONEYDEW", Color::hex(0xF0FFF0FF) },
+ { "HOT_PINK", Color::hex(0xFF69B4FF) },
+ { "INDIAN_RED", Color::hex(0xCD5C5CFF) },
+ { "INDIGO", Color::hex(0x4B0082FF) },
+ { "IVORY", Color::hex(0xFFFFF0FF) },
+ { "KHAKI", Color::hex(0xF0E68CFF) },
+ { "LAVENDER", Color::hex(0xE6E6FAFF) },
+ { "LAVENDER_BLUSH", Color::hex(0xFFF0F5FF) },
+ { "LAWN_GREEN", Color::hex(0x7CFC00FF) },
+ { "LEMON_CHIFFON", Color::hex(0xFFFACDFF) },
+ { "LIGHT_BLUE", Color::hex(0xADD8E6FF) },
+ { "LIGHT_CORAL", Color::hex(0xF08080FF) },
+ { "LIGHT_CYAN", Color::hex(0xE0FFFFFF) },
+ { "LIGHT_GOLDENROD", Color::hex(0xFAFAD2FF) },
+ { "LIGHT_GRAY", Color::hex(0xD3D3D3FF) },
+ { "LIGHT_GREEN", Color::hex(0x90EE90FF) },
+ { "LIGHT_PINK", Color::hex(0xFFB6C1FF) },
+ { "LIGHT_SALMON", Color::hex(0xFFA07AFF) },
+ { "LIGHT_SEA_GREEN", Color::hex(0x20B2AAFF) },
+ { "LIGHT_SKY_BLUE", Color::hex(0x87CEFAFF) },
+ { "LIGHT_SLATE_GRAY", Color::hex(0x778899FF) },
+ { "LIGHT_STEEL_BLUE", Color::hex(0xB0C4DEFF) },
+ { "LIGHT_YELLOW", Color::hex(0xFFFFE0FF) },
+ { "LIME", Color::hex(0x00FF00FF) },
+ { "LIME_GREEN", Color::hex(0x32CD32FF) },
+ { "LINEN", Color::hex(0xFAF0E6FF) },
+ { "MAGENTA", Color::hex(0xFF00FFFF) },
+ { "MAROON", Color::hex(0xB03060FF) },
+ { "MEDIUM_AQUAMARINE", Color::hex(0x66CDAAFF) },
+ { "MEDIUM_BLUE", Color::hex(0x0000CDFF) },
+ { "MEDIUM_ORCHID", Color::hex(0xBA55D3FF) },
+ { "MEDIUM_PURPLE", Color::hex(0x9370DBFF) },
+ { "MEDIUM_SEA_GREEN", Color::hex(0x3CB371FF) },
+ { "MEDIUM_SLATE_BLUE", Color::hex(0x7B68EEFF) },
+ { "MEDIUM_SPRING_GREEN", Color::hex(0x00FA9AFF) },
+ { "MEDIUM_TURQUOISE", Color::hex(0x48D1CCFF) },
+ { "MEDIUM_VIOLET_RED", Color::hex(0xC71585FF) },
+ { "MIDNIGHT_BLUE", Color::hex(0x191970FF) },
+ { "MINT_CREAM", Color::hex(0xF5FFFAFF) },
+ { "MISTY_ROSE", Color::hex(0xFFE4E1FF) },
+ { "MOCCASIN", Color::hex(0xFFE4B5FF) },
+ { "NAVAJO_WHITE", Color::hex(0xFFDEADFF) },
+ { "NAVY_BLUE", Color::hex(0x000080FF) },
+ { "OLD_LACE", Color::hex(0xFDF5E6FF) },
+ { "OLIVE", Color::hex(0x808000FF) },
+ { "OLIVE_DRAB", Color::hex(0x6B8E23FF) },
+ { "ORANGE", Color::hex(0xFFA500FF) },
+ { "ORANGE_RED", Color::hex(0xFF4500FF) },
+ { "ORCHID", Color::hex(0xDA70D6FF) },
+ { "PALE_GOLDENROD", Color::hex(0xEEE8AAFF) },
+ { "PALE_GREEN", Color::hex(0x98FB98FF) },
+ { "PALE_TURQUOISE", Color::hex(0xAFEEEEFF) },
+ { "PALE_VIOLET_RED", Color::hex(0xDB7093FF) },
+ { "PAPAYA_WHIP", Color::hex(0xFFEFD5FF) },
+ { "PEACH_PUFF", Color::hex(0xFFDAB9FF) },
+ { "PERU", Color::hex(0xCD853FFF) },
+ { "PINK", Color::hex(0xFFC0CBFF) },
+ { "PLUM", Color::hex(0xDDA0DDFF) },
+ { "POWDER_BLUE", Color::hex(0xB0E0E6FF) },
+ { "PURPLE", Color::hex(0xA020F0FF) },
+ { "REBECCA_PURPLE", Color::hex(0x663399FF) },
+ { "RED", Color::hex(0xFF0000FF) },
+ { "ROSY_BROWN", Color::hex(0xBC8F8FFF) },
+ { "ROYAL_BLUE", Color::hex(0x4169E1FF) },
+ { "SADDLE_BROWN", Color::hex(0x8B4513FF) },
+ { "SALMON", Color::hex(0xFA8072FF) },
+ { "SANDY_BROWN", Color::hex(0xF4A460FF) },
+ { "SEA_GREEN", Color::hex(0x2E8B57FF) },
+ { "SEASHELL", Color::hex(0xFFF5EEFF) },
+ { "SIENNA", Color::hex(0xA0522DFF) },
+ { "SILVER", Color::hex(0xC0C0C0FF) },
+ { "SKY_BLUE", Color::hex(0x87CEEBFF) },
+ { "SLATE_BLUE", Color::hex(0x6A5ACDFF) },
+ { "SLATE_GRAY", Color::hex(0x708090FF) },
+ { "SNOW", Color::hex(0xFFFAFAFF) },
+ { "SPRING_GREEN", Color::hex(0x00FF7FFF) },
+ { "STEEL_BLUE", Color::hex(0x4682B4FF) },
+ { "TAN", Color::hex(0xD2B48CFF) },
+ { "TEAL", Color::hex(0x008080FF) },
+ { "THISTLE", Color::hex(0xD8BFD8FF) },
+ { "TOMATO", Color::hex(0xFF6347FF) },
+ { "TRANSPARENT", Color::hex(0xFFFFFF00) },
+ { "TURQUOISE", Color::hex(0x40E0D0FF) },
+ { "VIOLET", Color::hex(0xEE82EEFF) },
+ { "WEB_GRAY", Color::hex(0x808080FF) },
+ { "WEB_GREEN", Color::hex(0x008000FF) },
+ { "WEB_MAROON", Color::hex(0x800000FF) },
+ { "WEB_PURPLE", Color::hex(0x800080FF) },
+ { "WHEAT", Color::hex(0xF5DEB3FF) },
+ { "WHITE", Color::hex(0xFFFFFFFF) },
+ { "WHITE_SMOKE", Color::hex(0xF5F5F5FF) },
+ { "YELLOW", Color::hex(0xFFFF00FF) },
+ { "YELLOW_GREEN", Color::hex(0x9ACD32FF) },
{ nullptr, Color() },
};
diff --git a/core/math/quaternion.cpp b/core/math/quaternion.cpp
index 0a650a8578..11bfcc1a6f 100644
--- a/core/math/quaternion.cpp
+++ b/core/math/quaternion.cpp
@@ -102,6 +102,22 @@ Quaternion Quaternion::inverse() const {
return Quaternion(-x, -y, -z, w);
}
+Quaternion Quaternion::log() const {
+ Quaternion src = *this;
+ Vector3 src_v = src.get_axis() * src.get_angle();
+ return Quaternion(src_v.x, src_v.y, src_v.z, 0);
+}
+
+Quaternion Quaternion::exp() const {
+ Quaternion src = *this;
+ Vector3 src_v = Vector3(src.x, src.y, src.z);
+ float theta = src_v.length();
+ if (theta < CMP_EPSILON) {
+ return Quaternion(0, 0, 0, 1);
+ }
+ return Quaternion(src_v.normalized(), theta);
+}
+
Quaternion Quaternion::slerp(const Quaternion &p_to, const real_t &p_weight) const {
#ifdef MATH_CHECKS
ERR_FAIL_COND_V_MSG(!is_normalized(), Quaternion(), "The start quaternion must be normalized.");
@@ -190,6 +206,9 @@ Quaternion::operator String() const {
}
Vector3 Quaternion::get_axis() const {
+ if (Math::abs(w) > 1 - CMP_EPSILON) {
+ return Vector3(x, y, z);
+ }
real_t r = ((real_t)1) / Math::sqrt(1 - w * w);
return Vector3(x * r, y * r, z * r);
}
diff --git a/core/math/quaternion.h b/core/math/quaternion.h
index 38729ac3df..9801746659 100644
--- a/core/math/quaternion.h
+++ b/core/math/quaternion.h
@@ -60,6 +60,8 @@ struct _NO_DISCARD_ Quaternion {
Quaternion normalized() const;
bool is_normalized() const;
Quaternion inverse() const;
+ Quaternion log() const;
+ Quaternion exp() const;
_FORCE_INLINE_ real_t dot(const Quaternion &p_q) const;
real_t angle_to(const Quaternion &p_to) const;
generated by cgit v1.2.3 (git 2.25.1) at 2024-12-18 17:45:47 +0000