Merge pull request #451 from Zylann/math

Added Godot's math functions

1 files changed, 250 insertions, 0 deletions

diff --git a/include/core/Math.hpp b/include/core/Math.hpp
new file mode 100644
index 0000000..4d0d32e
--- /dev/null
+++ b/include/core/Math.hpp
@@ -0,0 +1,250 @@
+#ifndef GODOT_MATH_H

+#define GODOT_MATH_H

+

+#include "Defs.hpp"

+#include <cmath>

+

+namespace godot {

+namespace Math {

+

+// Functions reproduced as in Godot's source code `math_funcs.h`.

+// Some are overloads to automatically support changing real_t into either double or float in the way Godot does.

+

+inline double fmod(double p_x, double p_y) {

+	return ::fmod(p_x, p_y);

+}

+inline float fmod(float p_x, float p_y) {

+	return ::fmodf(p_x, p_y);

+}

+

+inline double floor(double p_x) {

+	return ::floor(p_x);

+}

+inline float floor(float p_x) {

+	return ::floorf(p_x);

+}

+

+inline double exp(double p_x) {

+	return ::exp(p_x);

+}

+inline float exp(float p_x) {

+	return ::expf(p_x);

+}

+

+inline double sin(double p_x) {

+	return ::sin(p_x);

+}

+inline float sin(float p_x) {

+	return ::sinf(p_x);

+}

+

+inline double cos(double p_x) {

+	return ::cos(p_x);

+}

+inline float cos(float p_x) {

+	return ::cosf(p_x);

+}

+

+inline double tan(double p_x) {

+	return ::tan(p_x);

+}

+inline float tan(float p_x) {

+	return ::tanf(p_x);

+}

+

+inline double atan2(double p_y, double p_x) {

+	return ::atan2(p_y, p_x);

+}

+inline float atan2(float p_y, float p_x) {

+	return ::atan2f(p_y, p_x);

+}

+

+inline double sqrt(double p_x) {

+	return ::sqrt(p_x);

+}

+inline float sqrt(float p_x) {

+	return ::sqrtf(p_x);

+}

+

+inline float lerp(float minv, float maxv, float t) {

+	return minv + t * (maxv - minv);

+}

+inline double lerp(double minv, double maxv, double t) {

+	return minv + t * (maxv - minv);

+}

+

+inline double lerp_angle(double p_from, double p_to, double p_weight) {

+	double difference = fmod(p_to - p_from, Math_TAU);

+	double distance = fmod(2.0 * difference, Math_TAU) - difference;

+	return p_from + distance * p_weight;

+}

+inline float lerp_angle(float p_from, float p_to, float p_weight) {

+	float difference = fmod(p_to - p_from, (float)Math_TAU);

+	float distance = fmod(2.0f * difference, (float)Math_TAU) - difference;

+	return p_from + distance * p_weight;

+}

+

+template <typename T>

+inline T clamp(T x, T minv, T maxv) {

+	if (x < minv) {

+		return minv;

+	}

+	if (x > maxv) {

+		return maxv;

+	}

+	return x;

+}

+

+template <typename T>

+inline T min(T a, T b) {

+	return a < b ? a : b;

+}

+

+template <typename T>

+inline T max(T a, T b) {

+	return a > b ? a : b;

+}

+

+template <typename T>

+inline T sign(T x) {

+	return x < 0 ? -1 : 1;

+}

+

+inline double deg2rad(double p_y) {

+	return p_y * Math_PI / 180.0;

+}

+inline float deg2rad(float p_y) {

+	return p_y * Math_PI / 180.0;

+}

+

+inline double rad2deg(double p_y) {

+	return p_y * 180.0 / Math_PI;

+}

+inline float rad2deg(float p_y) {

+	return p_y * 180.0 / Math_PI;

+}

+

+inline double inverse_lerp(double p_from, double p_to, double p_value) {

+	return (p_value - p_from) / (p_to - p_from);

+}

+inline float inverse_lerp(float p_from, float p_to, float p_value) {

+	return (p_value - p_from) / (p_to - p_from);

+}

+

+inline double range_lerp(double p_value, double p_istart, double p_istop, double p_ostart, double p_ostop) {

+	return Math::lerp(p_ostart, p_ostop, Math::inverse_lerp(p_istart, p_istop, p_value));

+}

+inline float range_lerp(float p_value, float p_istart, float p_istop, float p_ostart, float p_ostop) {

+	return Math::lerp(p_ostart, p_ostop, Math::inverse_lerp(p_istart, p_istop, p_value));

+}

+

+inline bool is_equal_approx(real_t a, real_t b) {

+	// Check for exact equality first, required to handle "infinity" values.

+	if (a == b) {

+		return true;

+	}

+	// Then check for approximate equality.

+	real_t tolerance = CMP_EPSILON * std::abs(a);

+	if (tolerance < CMP_EPSILON) {

+		tolerance = CMP_EPSILON;

+	}

+	return std::abs(a - b) < tolerance;

+}

+

+inline bool is_equal_approx(real_t a, real_t b, real_t tolerance) {

+	// Check for exact equality first, required to handle "infinity" values.

+	if (a == b) {

+		return true;

+	}

+	// Then check for approximate equality.

+	return std::abs(a - b) < tolerance;

+}

+

+inline bool is_zero_approx(real_t s) {

+	return std::abs(s) < CMP_EPSILON;

+}

+

+inline double smoothstep(double p_from, double p_to, double p_weight) {

+	if (is_equal_approx(p_from, p_to)) {

+		return p_from;

+	}

+	double x = clamp((p_weight - p_from) / (p_to - p_from), 0.0, 1.0);

+	return x * x * (3.0 - 2.0 * x);

+}

+inline float smoothstep(float p_from, float p_to, float p_weight) {

+	if (is_equal_approx(p_from, p_to)) {

+		return p_from;

+	}

+	float x = clamp((p_weight - p_from) / (p_to - p_from), 0.0f, 1.0f);

+	return x * x * (3.0f - 2.0f * x);

+}

+

+inline double move_toward(double p_from, double p_to, double p_delta) {

+	return std::abs(p_to - p_from) <= p_delta ? p_to : p_from + sign(p_to - p_from) * p_delta;

+}

+

+inline float move_toward(float p_from, float p_to, float p_delta) {

+	return std::abs(p_to - p_from) <= p_delta ? p_to : p_from + sign(p_to - p_from) * p_delta;

+}

+

+inline double linear2db(double p_linear) {

+	return log(p_linear) * 8.6858896380650365530225783783321;

+}

+inline float linear2db(float p_linear) {

+	return log(p_linear) * 8.6858896380650365530225783783321f;

+}

+

+inline double db2linear(double p_db) {

+	return exp(p_db * 0.11512925464970228420089957273422);

+}

+inline float db2linear(float p_db) {

+	return exp(p_db * 0.11512925464970228420089957273422f);

+}

+

+inline double round(double p_val) {

+	return (p_val >= 0) ? floor(p_val + 0.5) : -floor(-p_val + 0.5);

+}

+inline float round(float p_val) {

+	return (p_val >= 0) ? floor(p_val + 0.5) : -floor(-p_val + 0.5);

+}

+

+inline int64_t wrapi(int64_t value, int64_t min, int64_t max) {

+	int64_t range = max - min;

+	return range == 0 ? min : min + ((((value - min) % range) + range) % range);

+}

+

+inline double wrapf(double value, double min, double max) {

+	double range = max - min;

+	return is_zero_approx(range) ? min : value - (range * floor((value - min) / range));

+}

+inline float wrapf(float value, float min, float max) {

+	float range = max - min;

+	return is_zero_approx(range) ? min : value - (range * floor((value - min) / range));

+}

+

+inline real_t stepify(real_t p_value, real_t p_step) {

+	if (p_step != 0) {

+		p_value = floor(p_value / p_step + 0.5) * p_step;

+	}

+	return p_value;

+}

+

+inline unsigned int next_power_of_2(unsigned int x) {

+

+	if (x == 0)

+		return 0;

+

+	--x;

+	x |= x >> 1;

+	x |= x >> 2;

+	x |= x >> 4;

+	x |= x >> 8;

+	x |= x >> 16;

+

+	return ++x;

+}

+

+} // namespace Math

+} // namespace godot

+

+#endif // GODOT_MATH_H