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| author | jussi | 2023-11-20 21:04:53 +0200 |
|---|---|---|
| committer | jussi | 2023-11-20 21:04:53 +0200 |
| commit | 05eaafb79e6fa1bebff157e94563334d7ead700b (patch) | |
| tree | 574ae0af685967df067efe11058dc50478558333 /include/raymath.h | |
| parent | 7765a23a2c90e6d02f6278eed1b1b9b9375bc941 (diff) | |
| download | reilua-enhanced-05eaafb79e6fa1bebff157e94563334d7ead700b.tar.gz reilua-enhanced-05eaafb79e6fa1bebff157e94563334d7ead700b.tar.bz2 reilua-enhanced-05eaafb79e6fa1bebff157e94563334d7ead700b.zip | |
Initial changes for Raylib 5.0 and some missing functions.
Diffstat (limited to 'include/raymath.h')
| -rw-r--r-- | include/raymath.h | 202 |
1 files changed, 129 insertions, 73 deletions
diff --git a/include/raymath.h b/include/raymath.h index 422a42e..ff60170 100644 --- a/include/raymath.h +++ b/include/raymath.h @@ -2,25 +2,30 @@ * * raymath v1.5 - Math functions to work with Vector2, Vector3, Matrix and Quaternions * -* CONFIGURATION: -* -* #define RAYMATH_IMPLEMENTATION -* Generates the implementation of the library into the included file. -* If not defined, the library is in header only mode and can be included in other headers -* or source files without problems. But only ONE file should hold the implementation. -* -* #define RAYMATH_STATIC_INLINE -* Define static inline functions code, so #include header suffices for use. -* This may use up lots of memory. -* * CONVENTIONS: -* +* - Matrix structure is defined as row-major (memory layout) but parameters naming AND all +* math operations performed by the library consider the structure as it was column-major +* It is like transposed versions of the matrices are used for all the maths +* It benefits some functions making them cache-friendly and also avoids matrix +* transpositions sometimes required by OpenGL +* Example: In memory order, row0 is [m0 m4 m8 m12] but in semantic math row0 is [m0 m1 m2 m3] * - Functions are always self-contained, no function use another raymath function inside, * required code is directly re-implemented inside * - Functions input parameters are always received by value (2 unavoidable exceptions) * - Functions use always a "result" variable for return * - Functions are always defined inline * - Angles are always in radians (DEG2RAD/RAD2DEG macros provided for convenience) +* - No compound literals used to make sure libray is compatible with C++ +* +* CONFIGURATION: +* #define RAYMATH_IMPLEMENTATION +* Generates the implementation of the library into the included file. +* If not defined, the library is in header only mode and can be included in other headers +* or source files without problems. But only ONE file should hold the implementation. +* +* #define RAYMATH_STATIC_INLINE +* Define static inline functions code, so #include header suffices for use. +* This may use up lots of memory. * * * LICENSE: zlib/libpng @@ -209,6 +214,10 @@ RMAPI float Wrap(float value, float min, float max) // Check whether two given floats are almost equal RMAPI int FloatEquals(float x, float y) { +#if !defined(EPSILON) + #define EPSILON 0.000001f +#endif + int result = (fabsf(x - y)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(x), fabsf(y)))); return result; @@ -310,7 +319,12 @@ RMAPI float Vector2DistanceSqr(Vector2 v1, Vector2 v2) // NOTE: Angle is calculated from origin point (0, 0) RMAPI float Vector2Angle(Vector2 v1, Vector2 v2) { - float result = atan2f(v2.y - v1.y, v2.x - v1.x); + float result = 0.0f; + + float dot = v1.x*v2.x + v1.y*v2.y; + float det = v1.x*v2.y - v1.y*v2.x; + + result = atan2f(det, dot); return result; } @@ -322,17 +336,8 @@ RMAPI float Vector2LineAngle(Vector2 start, Vector2 end) { float result = 0.0f; - float dot = start.x*end.x + start.y*end.y; // Dot product - - float dotClamp = (dot < -1.0f)? -1.0f : dot; // Clamp - if (dotClamp > 1.0f) dotClamp = 1.0f; - - result = acosf(dotClamp); - - // Alternative implementation, more costly - //float v1Length = sqrtf((start.x*start.x) + (start.y*start.y)); - //float v2Length = sqrtf((end.x*end.x) + (end.y*end.y)); - //float result = -acosf((start.x*end.x + start.y*end.y)/(v1Length*v2Length)); + // TODO(10/9/2023): Currently angles move clockwise, determine if this is wanted behavior + result = -atan2f(end.y - start.y, end.x - start.x); return result; } @@ -507,6 +512,10 @@ RMAPI Vector2 Vector2ClampValue(Vector2 v, float min, float max) // Check whether two given vectors are almost equal RMAPI int Vector2Equals(Vector2 p, Vector2 q) { +#if !defined(EPSILON) + #define EPSILON 0.000001f +#endif + int result = ((fabsf(p.x - q.x)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.x), fabsf(q.x))))) && ((fabsf(p.y - q.y)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.y), fabsf(q.y))))); @@ -703,12 +712,48 @@ RMAPI Vector3 Vector3Normalize(Vector3 v) Vector3 result = v; float length = sqrtf(v.x*v.x + v.y*v.y + v.z*v.z); - if (length == 0.0f) length = 1.0f; - float ilength = 1.0f/length; + if (length != 0.0f) + { + float ilength = 1.0f/length; - result.x *= ilength; - result.y *= ilength; - result.z *= ilength; + result.x *= ilength; + result.y *= ilength; + result.z *= ilength; + } + + return result; +} + +//Calculate the projection of the vector v1 on to v2 +RMAPI Vector3 Vector3Project(Vector3 v1, Vector3 v2) +{ + Vector3 result = { 0 }; + + float v1dv2 = (v1.x*v2.x + v1.y*v2.y + v1.z*v2.z); + float v2dv2 = (v2.x*v2.x + v2.y*v2.y + v2.z*v2.z); + + float mag = v1dv2/v2dv2; + + result.x = v2.x*mag; + result.y = v2.y*mag; + result.z = v2.z*mag; + + return result; +} + +//Calculate the rejection of the vector v1 on to v2 +RMAPI Vector3 Vector3Reject(Vector3 v1, Vector3 v2) +{ + Vector3 result = { 0 }; + + float v1dv2 = (v1.x*v2.x + v1.y*v2.y + v1.z*v2.z); + float v2dv2 = (v2.x*v2.x + v2.y*v2.y + v2.z*v2.z); + + float mag = v1dv2/v2dv2; + + result.x = v1.x - (v2.x*mag); + result.y = v1.y - (v2.y*mag); + result.z = v1.z - (v2.z*mag); return result; } @@ -785,7 +830,7 @@ RMAPI Vector3 Vector3RotateByAxisAngle(Vector3 v, Vector3 axis, float angle) Vector3 result = v; // Vector3Normalize(axis); - float length = sqrtf(axis.x * axis.x + axis.y * axis.y + axis.z * axis.z); + float length = sqrtf(axis.x*axis.x + axis.y*axis.y + axis.z*axis.z); if (length == 0.0f) length = 1.0f; float ilength = 1.0f / length; axis.x *= ilength; @@ -794,19 +839,19 @@ RMAPI Vector3 Vector3RotateByAxisAngle(Vector3 v, Vector3 axis, float angle) angle /= 2.0f; float a = sinf(angle); - float b = axis.x * a; - float c = axis.y * a; - float d = axis.z * a; + float b = axis.x*a; + float c = axis.y*a; + float d = axis.z*a; a = cosf(angle); Vector3 w = { b, c, d }; // Vector3CrossProduct(w, v) - Vector3 wv = { w.y * v.z - w.z * v.y, w.z * v.x - w.x * v.z, w.x * v.y - w.y * v.x }; + Vector3 wv = { w.y*v.z - w.z*v.y, w.z*v.x - w.x*v.z, w.x*v.y - w.y*v.x }; // Vector3CrossProduct(w, wv) - Vector3 wwv = { w.y * wv.z - w.z * wv.y, w.z * wv.x - w.x * wv.z, w.x * wv.y - w.y * wv.x }; + Vector3 wwv = { w.y*wv.z - w.z*wv.y, w.z*wv.x - w.x*wv.z, w.x*wv.y - w.y*wv.x }; - // Vector3Scale(wv, 2 * a) + // Vector3Scale(wv, 2*a) a *= 2; wv.x *= a; wv.y *= a; @@ -1055,19 +1100,22 @@ RMAPI Vector3 Vector3ClampValue(Vector3 v, float min, float max) // Check whether two given vectors are almost equal RMAPI int Vector3Equals(Vector3 p, Vector3 q) { +#if !defined(EPSILON) + #define EPSILON 0.000001f +#endif + int result = ((fabsf(p.x - q.x)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.x), fabsf(q.x))))) && - ((fabsf(p.y - q.y)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.y), fabsf(q.y))))) && - ((fabsf(p.z - q.z)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.z), fabsf(q.z))))); + ((fabsf(p.y - q.y)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.y), fabsf(q.y))))) && + ((fabsf(p.z - q.z)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.z), fabsf(q.z))))); return result; } -// Compute the direction of a refracted ray where v specifies the -// normalized direction of the incoming ray, n specifies the -// normalized normal vector of the interface of two optical media, -// and r specifies the ratio of the refractive index of the medium -// from where the ray comes to the refractive index of the medium -// on the other side of the surface +// Compute the direction of a refracted ray +// v: normalized direction of the incoming ray +// n: normalized normal vector of the interface of two optical media +// r: ratio of the refractive index of the medium from where the ray comes +// to the refractive index of the medium on the other side of the surface RMAPI Vector3 Vector3Refract(Vector3 v, Vector3 n, float r) { Vector3 result = { 0 }; @@ -1509,11 +1557,11 @@ RMAPI Matrix MatrixFrustum(double left, double right, double bottom, double top, // Get perspective projection matrix // NOTE: Fovy angle must be provided in radians -RMAPI Matrix MatrixPerspective(double fovy, double aspect, double near, double far) +RMAPI Matrix MatrixPerspective(double fovY, double aspect, double nearPlane, double farPlane) { Matrix result = { 0 }; - double top = near*tan(fovy*0.5); + double top = nearPlane*tan(fovY*0.5); double bottom = -top; double right = top*aspect; double left = -right; @@ -1521,27 +1569,27 @@ RMAPI Matrix MatrixPerspective(double fovy, double aspect, double near, double f // MatrixFrustum(-right, right, -top, top, near, far); float rl = (float)(right - left); float tb = (float)(top - bottom); - float fn = (float)(far - near); + float fn = (float)(farPlane - nearPlane); - result.m0 = ((float)near*2.0f)/rl; - result.m5 = ((float)near*2.0f)/tb; + result.m0 = ((float)nearPlane*2.0f)/rl; + result.m5 = ((float)nearPlane*2.0f)/tb; result.m8 = ((float)right + (float)left)/rl; result.m9 = ((float)top + (float)bottom)/tb; - result.m10 = -((float)far + (float)near)/fn; + result.m10 = -((float)farPlane + (float)nearPlane)/fn; result.m11 = -1.0f; - result.m14 = -((float)far*(float)near*2.0f)/fn; + result.m14 = -((float)farPlane*(float)nearPlane*2.0f)/fn; return result; } // Get orthographic projection matrix -RMAPI Matrix MatrixOrtho(double left, double right, double bottom, double top, double near, double far) +RMAPI Matrix MatrixOrtho(double left, double right, double bottom, double top, double nearPlane, double farPlane) { Matrix result = { 0 }; float rl = (float)(right - left); float tb = (float)(top - bottom); - float fn = (float)(far - near); + float fn = (float)(farPlane - nearPlane); result.m0 = 2.0f/rl; result.m1 = 0.0f; @@ -1557,7 +1605,7 @@ RMAPI Matrix MatrixOrtho(double left, double right, double bottom, double top, d result.m11 = 0.0f; result.m12 = -((float)left + (float)right)/rl; result.m13 = -((float)top + (float)bottom)/tb; - result.m14 = -((float)far + (float)near)/fn; + result.m14 = -((float)farPlane + (float)nearPlane)/fn; result.m15 = 1.0f; return result; @@ -1812,6 +1860,10 @@ RMAPI Quaternion QuaternionSlerp(Quaternion q1, Quaternion q2, float amount) { Quaternion result = { 0 }; +#if !defined(EPSILON) + #define EPSILON 0.000001f +#endif + float cosHalfTheta = q1.x*q2.x + q1.y*q2.y + q1.z*q2.z + q1.w*q2.w; if (cosHalfTheta < 0) @@ -1827,7 +1879,7 @@ RMAPI Quaternion QuaternionSlerp(Quaternion q1, Quaternion q2, float amount) float halfTheta = acosf(cosHalfTheta); float sinHalfTheta = sqrtf(1.0f - cosHalfTheta*cosHalfTheta); - if (fabsf(sinHalfTheta) < 0.001f) + if (fabsf(sinHalfTheta) < EPSILON) { result.x = (q1.x*0.5f + q2.x*0.5f); result.y = (q1.y*0.5f + q2.y*0.5f); @@ -1882,9 +1934,9 @@ RMAPI Quaternion QuaternionFromMatrix(Matrix mat) { Quaternion result = { 0 }; - float fourWSquaredMinus1 = mat.m0 + mat.m5 + mat.m10; - float fourXSquaredMinus1 = mat.m0 - mat.m5 - mat.m10; - float fourYSquaredMinus1 = mat.m5 - mat.m0 - mat.m10; + float fourWSquaredMinus1 = mat.m0 + mat.m5 + mat.m10; + float fourXSquaredMinus1 = mat.m0 - mat.m5 - mat.m10; + float fourYSquaredMinus1 = mat.m5 - mat.m0 - mat.m10; float fourZSquaredMinus1 = mat.m10 - mat.m0 - mat.m5; int biggestIndex = 0; @@ -1907,34 +1959,34 @@ RMAPI Quaternion QuaternionFromMatrix(Matrix mat) biggestIndex = 3; } - float biggestVal = sqrtf(fourBiggestSquaredMinus1 + 1.0f) * 0.5f; + float biggestVal = sqrtf(fourBiggestSquaredMinus1 + 1.0f)*0.5f; float mult = 0.25f / biggestVal; switch (biggestIndex) { case 0: result.w = biggestVal; - result.x = (mat.m6 - mat.m9) * mult; - result.y = (mat.m8 - mat.m2) * mult; - result.z = (mat.m1 - mat.m4) * mult; + result.x = (mat.m6 - mat.m9)*mult; + result.y = (mat.m8 - mat.m2)*mult; + result.z = (mat.m1 - mat.m4)*mult; break; case 1: result.x = biggestVal; - result.w = (mat.m6 - mat.m9) * mult; - result.y = (mat.m1 + mat.m4) * mult; - result.z = (mat.m8 + mat.m2) * mult; + result.w = (mat.m6 - mat.m9)*mult; + result.y = (mat.m1 + mat.m4)*mult; + result.z = (mat.m8 + mat.m2)*mult; break; case 2: result.y = biggestVal; - result.w = (mat.m8 - mat.m2) * mult; - result.x = (mat.m1 + mat.m4) * mult; - result.z = (mat.m6 + mat.m9) * mult; + result.w = (mat.m8 - mat.m2)*mult; + result.x = (mat.m1 + mat.m4)*mult; + result.z = (mat.m6 + mat.m9)*mult; break; case 3: result.z = biggestVal; - result.w = (mat.m1 - mat.m4) * mult; - result.x = (mat.m8 + mat.m2) * mult; - result.y = (mat.m6 + mat.m9) * mult; + result.w = (mat.m1 - mat.m4)*mult; + result.x = (mat.m8 + mat.m2)*mult; + result.y = (mat.m6 + mat.m9)*mult; break; } @@ -2040,7 +2092,7 @@ RMAPI void QuaternionToAxisAngle(Quaternion q, Vector3 *outAxis, float *outAngle float resAngle = 2.0f*acosf(q.w); float den = sqrtf(1.0f - q.w*q.w); - if (den > 0.0001f) + if (den > EPSILON) { resAxis.x = q.x/den; resAxis.y = q.y/den; @@ -2119,11 +2171,15 @@ RMAPI Quaternion QuaternionTransform(Quaternion q, Matrix mat) // Check whether two given quaternions are almost equal RMAPI int QuaternionEquals(Quaternion p, Quaternion q) { +#if !defined(EPSILON) + #define EPSILON 0.000001f +#endif + int result = (((fabsf(p.x - q.x)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.x), fabsf(q.x))))) && ((fabsf(p.y - q.y)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.y), fabsf(q.y))))) && ((fabsf(p.z - q.z)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.z), fabsf(q.z))))) && ((fabsf(p.w - q.w)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.w), fabsf(q.w)))))) || - (((fabsf(p.x + q.x)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.x), fabsf(q.x))))) && + (((fabsf(p.x + q.x)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.x), fabsf(q.x))))) && ((fabsf(p.y + q.y)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.y), fabsf(q.y))))) && ((fabsf(p.z + q.z)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.z), fabsf(q.z))))) && ((fabsf(p.w + q.w)) <= (EPSILON*fmaxf(1.0f, fmaxf(fabsf(p.w), fabsf(q.w)))))); 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