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authorThomas <mail.thomasclement@gmail.com>2021-08-15 10:03:09 +0200
committerThomas <mail.thomasclement@gmail.com>2021-08-15 10:03:09 +0200
commit3a1d97f556bc4c5384799ac121640984b590c05c (patch)
tree20aeab4c18d76c344e2ce1f16913b39c447659b1 /libs/raylib/src/raymath.h
parenteebaddf29efad9bc7b82d8745d839931f08ef887 (diff)
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Updated to raylib 3.7
Diffstat (limited to 'libs/raylib/src/raymath.h')
-rw-r--r--libs/raylib/src/raymath.h502
1 files changed, 323 insertions, 179 deletions
diff --git a/libs/raylib/src/raymath.h b/libs/raylib/src/raymath.h
index 68d0824..e396d5a 100644
--- a/libs/raylib/src/raymath.h
+++ b/libs/raylib/src/raymath.h
@@ -20,7 +20,7 @@
*
* LICENSE: zlib/libpng
*
-* Copyright (c) 2015-2020 Ramon Santamaria (@raysan5)
+* Copyright (c) 2015-2021 Ramon Santamaria (@raysan5)
*
* This software is provided "as-is", without any express or implied warranty. In no event
* will the authors be held liable for any damages arising from the use of this software.
@@ -75,7 +75,7 @@
// Defines and Macros
//----------------------------------------------------------------------------------
#ifndef PI
- #define PI 3.14159265358979323846
+ #define PI 3.14159265358979323846f
#endif
#ifndef DEG2RAD
@@ -114,13 +114,16 @@
float z;
} Vector3;
- // Quaternion type
- typedef struct Quaternion {
+ // Vector4 type
+ typedef struct Vector4 {
float x;
float y;
float z;
float w;
- } Quaternion;
+ } Vector4;
+
+ // Quaternion type
+ typedef Vector4 Quaternion;
// Matrix type (OpenGL style 4x4 - right handed, column major)
typedef struct Matrix {
@@ -154,6 +157,18 @@ RMDEF float Lerp(float start, float end, float amount)
return start + amount*(end - start);
}
+// Normalize input value within input range
+RMDEF float Normalize(float value, float start, float end)
+{
+ return (value - start)/(end - start);
+}
+
+// Remap input value within input range to output range
+RMDEF float Remap(float value, float inputStart, float inputEnd, float outputStart, float outputEnd)
+{
+ return (value - inputStart)/(inputEnd - inputStart)*(outputEnd - outputStart) + outputStart;
+}
+
//----------------------------------------------------------------------------------
// Module Functions Definition - Vector2 math
//----------------------------------------------------------------------------------
@@ -179,6 +194,13 @@ RMDEF Vector2 Vector2Add(Vector2 v1, Vector2 v2)
return result;
}
+// Add vector and float value
+RMDEF Vector2 Vector2AddValue(Vector2 v, float add)
+{
+ Vector2 result = { v.x + add, v.y + add };
+ return result;
+}
+
// Subtract two vectors (v1 - v2)
RMDEF Vector2 Vector2Subtract(Vector2 v1, Vector2 v2)
{
@@ -186,6 +208,13 @@ RMDEF Vector2 Vector2Subtract(Vector2 v1, Vector2 v2)
return result;
}
+// Subtract vector by float value
+RMDEF Vector2 Vector2SubtractValue(Vector2 v, float sub)
+{
+ Vector2 result = { v.x - sub, v.y - sub };
+ return result;
+}
+
// Calculate vector length
RMDEF float Vector2Length(Vector2 v)
{
@@ -193,6 +222,13 @@ RMDEF float Vector2Length(Vector2 v)
return result;
}
+// Calculate vector square length
+RMDEF float Vector2LengthSqr(Vector2 v)
+{
+ float result = (v.x*v.x) + (v.y*v.y);
+ return result;
+}
+
// Calculate two vectors dot product
RMDEF float Vector2DotProduct(Vector2 v1, Vector2 v2)
{
@@ -223,7 +259,7 @@ RMDEF Vector2 Vector2Scale(Vector2 v, float scale)
}
// Multiply vector by vector
-RMDEF Vector2 Vector2MultiplyV(Vector2 v1, Vector2 v2)
+RMDEF Vector2 Vector2Multiply(Vector2 v1, Vector2 v2)
{
Vector2 result = { v1.x*v2.x, v1.y*v2.y };
return result;
@@ -236,15 +272,8 @@ RMDEF Vector2 Vector2Negate(Vector2 v)
return result;
}
-// Divide vector by a float value
-RMDEF Vector2 Vector2Divide(Vector2 v, float div)
-{
- Vector2 result = { v.x/div, v.y/div };
- return result;
-}
-
// Divide vector by vector
-RMDEF Vector2 Vector2DivideV(Vector2 v1, Vector2 v2)
+RMDEF Vector2 Vector2Divide(Vector2 v1, Vector2 v2)
{
Vector2 result = { v1.x/v2.x, v1.y/v2.y };
return result;
@@ -253,7 +282,7 @@ RMDEF Vector2 Vector2DivideV(Vector2 v1, Vector2 v2)
// Normalize provided vector
RMDEF Vector2 Vector2Normalize(Vector2 v)
{
- Vector2 result = Vector2Divide(v, Vector2Length(v));
+ Vector2 result = Vector2Scale(v, 1/Vector2Length(v));
return result;
}
@@ -268,11 +297,42 @@ RMDEF Vector2 Vector2Lerp(Vector2 v1, Vector2 v2, float amount)
return result;
}
+// Calculate reflected vector to normal
+RMDEF Vector2 Vector2Reflect(Vector2 v, Vector2 normal)
+{
+ Vector2 result = { 0 };
+
+ float dotProduct = Vector2DotProduct(v, normal);
+
+ result.x = v.x - (2.0f*normal.x)*dotProduct;
+ result.y = v.y - (2.0f*normal.y)*dotProduct;
+
+ return result;
+}
+
// Rotate Vector by float in Degrees.
RMDEF Vector2 Vector2Rotate(Vector2 v, float degs)
{
float rads = degs*DEG2RAD;
- Vector2 result = {v.x * cosf(rads) - v.y * sinf(rads) , v.x * sinf(rads) + v.y * cosf(rads) };
+ Vector2 result = {v.x*cosf(rads) - v.y*sinf(rads) , v.x*sinf(rads) + v.y*cosf(rads) };
+ return result;
+}
+
+// Move Vector towards target
+RMDEF Vector2 Vector2MoveTowards(Vector2 v, Vector2 target, float maxDistance)
+{
+ Vector2 result = { 0 };
+ float dx = target.x - v.x;
+ float dy = target.y - v.y;
+ float value = (dx*dx) + (dy*dy);
+
+ if ((value == 0) || ((maxDistance >= 0) && (value <= maxDistance*maxDistance))) result = target;
+
+ float dist = sqrtf(value);
+
+ result.x = v.x + dx/dist*maxDistance;
+ result.y = v.y + dy/dist*maxDistance;
+
return result;
}
@@ -301,6 +361,13 @@ RMDEF Vector3 Vector3Add(Vector3 v1, Vector3 v2)
return result;
}
+// Add vector and float value
+RMDEF Vector3 Vector3AddValue(Vector3 v, float add)
+{
+ Vector3 result = { v.x + add, v.y + add, v.z + add };
+ return result;
+}
+
// Subtract two vectors
RMDEF Vector3 Vector3Subtract(Vector3 v1, Vector3 v2)
{
@@ -308,6 +375,13 @@ RMDEF Vector3 Vector3Subtract(Vector3 v1, Vector3 v2)
return result;
}
+// Subtract vector by float value
+RMDEF Vector3 Vector3SubtractValue(Vector3 v, float sub)
+{
+ Vector3 result = { v.x - sub, v.y - sub, v.z - sub };
+ return result;
+}
+
// Multiply vector by scalar
RMDEF Vector3 Vector3Scale(Vector3 v, float scalar)
{
@@ -362,6 +436,13 @@ RMDEF float Vector3Length(const Vector3 v)
return result;
}
+// Calculate vector square length
+RMDEF float Vector3LengthSqr(const Vector3 v)
+{
+ float result = v.x*v.x + v.y*v.y + v.z*v.z;
+ return result;
+}
+
// Calculate two vectors dot product
RMDEF float Vector3DotProduct(Vector3 v1, Vector3 v2)
{
@@ -386,15 +467,8 @@ RMDEF Vector3 Vector3Negate(Vector3 v)
return result;
}
-// Divide vector by a float value
-RMDEF Vector3 Vector3Divide(Vector3 v, float div)
-{
- Vector3 result = { v.x / div, v.y / div, v.z / div };
- return result;
-}
-
// Divide vector by vector
-RMDEF Vector3 Vector3DivideV(Vector3 v1, Vector3 v2)
+RMDEF Vector3 Vector3Divide(Vector3 v1, Vector3 v2)
{
Vector3 result = { v1.x/v2.x, v1.y/v2.y, v1.z/v2.z };
return result;
@@ -737,6 +811,32 @@ RMDEF Matrix MatrixSubtract(Matrix left, Matrix right)
return result;
}
+// Returns two matrix multiplication
+// NOTE: When multiplying matrices... the order matters!
+RMDEF Matrix MatrixMultiply(Matrix left, Matrix right)
+{
+ Matrix result = { 0 };
+
+ result.m0 = left.m0*right.m0 + left.m1*right.m4 + left.m2*right.m8 + left.m3*right.m12;
+ result.m1 = left.m0*right.m1 + left.m1*right.m5 + left.m2*right.m9 + left.m3*right.m13;
+ result.m2 = left.m0*right.m2 + left.m1*right.m6 + left.m2*right.m10 + left.m3*right.m14;
+ result.m3 = left.m0*right.m3 + left.m1*right.m7 + left.m2*right.m11 + left.m3*right.m15;
+ result.m4 = left.m4*right.m0 + left.m5*right.m4 + left.m6*right.m8 + left.m7*right.m12;
+ result.m5 = left.m4*right.m1 + left.m5*right.m5 + left.m6*right.m9 + left.m7*right.m13;
+ result.m6 = left.m4*right.m2 + left.m5*right.m6 + left.m6*right.m10 + left.m7*right.m14;
+ result.m7 = left.m4*right.m3 + left.m5*right.m7 + left.m6*right.m11 + left.m7*right.m15;
+ result.m8 = left.m8*right.m0 + left.m9*right.m4 + left.m10*right.m8 + left.m11*right.m12;
+ result.m9 = left.m8*right.m1 + left.m9*right.m5 + left.m10*right.m9 + left.m11*right.m13;
+ result.m10 = left.m8*right.m2 + left.m9*right.m6 + left.m10*right.m10 + left.m11*right.m14;
+ result.m11 = left.m8*right.m3 + left.m9*right.m7 + left.m10*right.m11 + left.m11*right.m15;
+ result.m12 = left.m12*right.m0 + left.m13*right.m4 + left.m14*right.m8 + left.m15*right.m12;
+ result.m13 = left.m12*right.m1 + left.m13*right.m5 + left.m14*right.m9 + left.m15*right.m13;
+ result.m14 = left.m12*right.m2 + left.m13*right.m6 + left.m14*right.m10 + left.m15*right.m14;
+ result.m15 = left.m12*right.m3 + left.m13*right.m7 + left.m14*right.m11 + left.m15*right.m15;
+
+ return result;
+}
+
// Returns translation matrix
RMDEF Matrix MatrixTranslate(float x, float y, float z)
{
@@ -756,14 +856,14 @@ RMDEF Matrix MatrixRotate(Vector3 axis, float angle)
float x = axis.x, y = axis.y, z = axis.z;
- float length = sqrtf(x*x + y*y + z*z);
+ float lengthSquared = x*x + y*y + z*z;
- if ((length != 1.0f) && (length != 0.0f))
+ if ((lengthSquared != 1.0f) && (lengthSquared != 0.0f))
{
- length = 1.0f/length;
- x *= length;
- y *= length;
- z *= length;
+ float inverseLength = 1.0f/sqrtf(lengthSquared);
+ x *= inverseLength;
+ y *= inverseLength;
+ z *= inverseLength;
}
float sinres = sinf(angle);
@@ -793,33 +893,6 @@ RMDEF Matrix MatrixRotate(Vector3 axis, float angle)
return result;
}
-// Returns xyz-rotation matrix (angles in radians)
-RMDEF Matrix MatrixRotateXYZ(Vector3 ang)
-{
- Matrix result = MatrixIdentity();
-
- float cosz = cosf(-ang.z);
- float sinz = sinf(-ang.z);
- float cosy = cosf(-ang.y);
- float siny = sinf(-ang.y);
- float cosx = cosf(-ang.x);
- float sinx = sinf(-ang.x);
-
- result.m0 = cosz * cosy;
- result.m4 = (cosz * siny * sinx) - (sinz * cosx);
- result.m8 = (cosz * siny * cosx) + (sinz * sinx);
-
- result.m1 = sinz * cosy;
- result.m5 = (sinz * siny * sinx) + (cosz * cosx);
- result.m9 = (sinz * siny * cosx) - (cosz * sinx);
-
- result.m2 = -siny;
- result.m6 = cosy * sinx;
- result.m10= cosy * cosx;
-
- return result;
-}
-
// Returns x-rotation matrix (angle in radians)
RMDEF Matrix MatrixRotateX(float angle)
{
@@ -868,39 +941,76 @@ RMDEF Matrix MatrixRotateZ(float angle)
return result;
}
-// Returns scaling matrix
-RMDEF Matrix MatrixScale(float x, float y, float z)
+
+// Returns xyz-rotation matrix (angles in radians)
+RMDEF Matrix MatrixRotateXYZ(Vector3 ang)
{
- Matrix result = { x, 0.0f, 0.0f, 0.0f,
- 0.0f, y, 0.0f, 0.0f,
- 0.0f, 0.0f, z, 0.0f,
- 0.0f, 0.0f, 0.0f, 1.0f };
+ Matrix result = MatrixIdentity();
+
+ float cosz = cosf(-ang.z);
+ float sinz = sinf(-ang.z);
+ float cosy = cosf(-ang.y);
+ float siny = sinf(-ang.y);
+ float cosx = cosf(-ang.x);
+ float sinx = sinf(-ang.x);
+
+ result.m0 = cosz*cosy;
+ result.m4 = (cosz*siny*sinx) - (sinz*cosx);
+ result.m8 = (cosz*siny*cosx) + (sinz*sinx);
+
+ result.m1 = sinz*cosy;
+ result.m5 = (sinz*siny*sinx) + (cosz*cosx);
+ result.m9 = (sinz*siny*cosx) - (cosz*sinx);
+
+ result.m2 = -siny;
+ result.m6 = cosy*sinx;
+ result.m10= cosy*cosx;
return result;
}
-// Returns two matrix multiplication
-// NOTE: When multiplying matrices... the order matters!
-RMDEF Matrix MatrixMultiply(Matrix left, Matrix right)
+// Returns zyx-rotation matrix (angles in radians)
+RMDEF Matrix MatrixRotateZYX(Vector3 ang)
{
Matrix result = { 0 };
- result.m0 = left.m0*right.m0 + left.m1*right.m4 + left.m2*right.m8 + left.m3*right.m12;
- result.m1 = left.m0*right.m1 + left.m1*right.m5 + left.m2*right.m9 + left.m3*right.m13;
- result.m2 = left.m0*right.m2 + left.m1*right.m6 + left.m2*right.m10 + left.m3*right.m14;
- result.m3 = left.m0*right.m3 + left.m1*right.m7 + left.m2*right.m11 + left.m3*right.m15;
- result.m4 = left.m4*right.m0 + left.m5*right.m4 + left.m6*right.m8 + left.m7*right.m12;
- result.m5 = left.m4*right.m1 + left.m5*right.m5 + left.m6*right.m9 + left.m7*right.m13;
- result.m6 = left.m4*right.m2 + left.m5*right.m6 + left.m6*right.m10 + left.m7*right.m14;
- result.m7 = left.m4*right.m3 + left.m5*right.m7 + left.m6*right.m11 + left.m7*right.m15;
- result.m8 = left.m8*right.m0 + left.m9*right.m4 + left.m10*right.m8 + left.m11*right.m12;
- result.m9 = left.m8*right.m1 + left.m9*right.m5 + left.m10*right.m9 + left.m11*right.m13;
- result.m10 = left.m8*right.m2 + left.m9*right.m6 + left.m10*right.m10 + left.m11*right.m14;
- result.m11 = left.m8*right.m3 + left.m9*right.m7 + left.m10*right.m11 + left.m11*right.m15;
- result.m12 = left.m12*right.m0 + left.m13*right.m4 + left.m14*right.m8 + left.m15*right.m12;
- result.m13 = left.m12*right.m1 + left.m13*right.m5 + left.m14*right.m9 + left.m15*right.m13;
- result.m14 = left.m12*right.m2 + left.m13*right.m6 + left.m14*right.m10 + left.m15*right.m14;
- result.m15 = left.m12*right.m3 + left.m13*right.m7 + left.m14*right.m11 + left.m15*right.m15;
+ float cz = cosf(ang.z);
+ float sz = sinf(ang.z);
+ float cy = cosf(ang.y);
+ float sy = sinf(ang.y);
+ float cx = cosf(ang.x);
+ float sx = sinf(ang.x);
+
+ result.m0 = cz*cy;
+ result.m1 = cz*sy*sx - cx*sz;
+ result.m2 = sz*sx + cz*cx*sy;
+ result.m3 = 0;
+
+ result.m4 = cy*sz;
+ result.m5 = cz*cx + sz*sy*sx;
+ result.m6 = cx*sz*sy - cz*sx;
+ result.m7 = 0;
+
+ result.m8 = -sy;
+ result.m9 = cy*sx;
+ result.m10 = cy*cx;
+ result.m11 = 0;
+
+ result.m12 = 0;
+ result.m13 = 0;
+ result.m14 = 0;
+ result.m15 = 1;
+
+ return result;
+}
+
+// Returns scaling matrix
+RMDEF Matrix MatrixScale(float x, float y, float z)
+{
+ Matrix result = { x, 0.0f, 0.0f, 0.0f,
+ 0.0f, y, 0.0f, 0.0f,
+ 0.0f, 0.0f, z, 0.0f,
+ 0.0f, 0.0f, 0.0f, 1.0f };
return result;
}
@@ -987,27 +1097,24 @@ RMDEF Matrix MatrixLookAt(Vector3 eye, Vector3 target, Vector3 up)
Vector3 x = Vector3CrossProduct(up, z);
x = Vector3Normalize(x);
Vector3 y = Vector3CrossProduct(z, x);
- y = Vector3Normalize(y);
result.m0 = x.x;
- result.m1 = x.y;
- result.m2 = x.z;
+ result.m1 = y.x;
+ result.m2 = z.x;
result.m3 = 0.0f;
- result.m4 = y.x;
+ result.m4 = x.y;
result.m5 = y.y;
- result.m6 = y.z;
+ result.m6 = z.y;
result.m7 = 0.0f;
- result.m8 = z.x;
- result.m9 = z.y;
+ result.m8 = x.z;
+ result.m9 = y.z;
result.m10 = z.z;
result.m11 = 0.0f;
- result.m12 = eye.x;
- result.m13 = eye.y;
- result.m14 = eye.z;
+ result.m12 = -Vector3DotProduct(x, eye);
+ result.m13 = -Vector3DotProduct(y, eye);
+ result.m14 = -Vector3DotProduct(z, eye);
result.m15 = 1.0f;
- result = MatrixInvert(result);
-
return result;
}
@@ -1040,6 +1147,34 @@ RMDEF float16 MatrixToFloatV(Matrix mat)
// Module Functions Definition - Quaternion math
//----------------------------------------------------------------------------------
+// Add two quaternions
+RMDEF Quaternion QuaternionAdd(Quaternion q1, Quaternion q2)
+{
+ Quaternion result = {q1.x + q2.x, q1.y + q2.y, q1.z + q2.z, q1.w + q2.w};
+ return result;
+}
+
+// Add quaternion and float value
+RMDEF Quaternion QuaternionAddValue(Quaternion q, float add)
+{
+ Quaternion result = {q.x + add, q.y + add, q.z + add, q.w + add};
+ return result;
+}
+
+// Subtract two quaternions
+RMDEF Quaternion QuaternionSubtract(Quaternion q1, Quaternion q2)
+{
+ Quaternion result = {q1.x - q2.x, q1.y - q2.y, q1.z - q2.z, q1.w - q2.w};
+ return result;
+}
+
+// Subtract quaternion and float value
+RMDEF Quaternion QuaternionSubtractValue(Quaternion q, float sub)
+{
+ Quaternion result = {q.x - sub, q.y - sub, q.z - sub, q.w - sub};
+ return result;
+}
+
// Returns identity quaternion
RMDEF Quaternion QuaternionIdentity(void)
{
@@ -1050,7 +1185,7 @@ RMDEF Quaternion QuaternionIdentity(void)
// Computes the length of a quaternion
RMDEF float QuaternionLength(Quaternion q)
{
- float result = (float)sqrt(q.x*q.x + q.y*q.y + q.z*q.z + q.w*q.w);
+ float result = sqrtf(q.x*q.x + q.y*q.y + q.z*q.z + q.w*q.w);
return result;
}
@@ -1108,6 +1243,28 @@ RMDEF Quaternion QuaternionMultiply(Quaternion q1, Quaternion q2)
return result;
}
+// Scale quaternion by float value
+RMDEF Quaternion QuaternionScale(Quaternion q, float mul)
+{
+ Quaternion result = { 0 };
+
+ float qax = q.x, qay = q.y, qaz = q.z, qaw = q.w;
+
+ result.x = qax*mul + qaw*mul + qay*mul - qaz*mul;
+ result.y = qay*mul + qaw*mul + qaz*mul - qax*mul;
+ result.z = qaz*mul + qaw*mul + qax*mul - qay*mul;
+ result.w = qaw*mul - qax*mul - qay*mul - qaz*mul;
+
+ return result;
+}
+
+// Divide two quaternions
+RMDEF Quaternion QuaternionDivide(Quaternion q1, Quaternion q2)
+{
+ Quaternion result = { q1.x/q2.x, q1.y/q2.y, q1.z/q2.z, q1.w/q2.w };
+ return result;
+}
+
// Calculate linear interpolation between two quaternions
RMDEF Quaternion QuaternionLerp(Quaternion q1, Quaternion q2, float amount)
{
@@ -1137,6 +1294,12 @@ RMDEF Quaternion QuaternionSlerp(Quaternion q1, Quaternion q2, float amount)
float cosHalfTheta = q1.x*q2.x + q1.y*q2.y + q1.z*q2.z + q1.w*q2.w;
+ if (cosHalfTheta < 0)
+ {
+ q2.x = -q2.x; q2.y = -q2.y; q2.z = -q2.z; q2.w = -q2.w;
+ cosHalfTheta = -cosHalfTheta;
+ }
+
if (fabs(cosHalfTheta) >= 1.0f) result = q1;
else if (cosHalfTheta > 0.95f) result = QuaternionNlerp(q1, q2, amount);
else
@@ -1176,7 +1339,7 @@ RMDEF Quaternion QuaternionFromVector3ToVector3(Vector3 from, Vector3 to)
result.x = cross.x;
result.y = cross.y;
- result.z = cross.y;
+ result.z = cross.z;
result.w = 1.0f + cos2Theta; // NOTE: Added QuaternioIdentity()
// Normalize to essentially nlerp the original and identity to 0.5
@@ -1193,52 +1356,30 @@ RMDEF Quaternion QuaternionFromMatrix(Matrix mat)
{
Quaternion result = { 0 };
- float trace = MatrixTrace(mat);
-
- if (trace > 0.0f)
+ if ((mat.m0 > mat.m5) && (mat.m0 > mat.m10))
{
- float s = sqrtf(trace + 1)*2.0f;
- float invS = 1.0f/s;
+ float s = sqrtf(1.0f + mat.m0 - mat.m5 - mat.m10)*2;
- result.w = s*0.25f;
- result.x = (mat.m6 - mat.m9)*invS;
- result.y = (mat.m8 - mat.m2)*invS;
- result.z = (mat.m1 - mat.m4)*invS;
+ result.x = 0.25f*s;
+ result.y = (mat.m4 + mat.m1)/s;
+ result.z = (mat.m2 + mat.m8)/s;
+ result.w = (mat.m9 - mat.m6)/s;
+ }
+ else if (mat.m5 > mat.m10)
+ {
+ float s = sqrtf(1.0f + mat.m5 - mat.m0 - mat.m10)*2;
+ result.x = (mat.m4 + mat.m1)/s;
+ result.y = 0.25f*s;
+ result.z = (mat.m9 + mat.m6)/s;
+ result.w = (mat.m2 - mat.m8)/s;
}
else
{
- float m00 = mat.m0, m11 = mat.m5, m22 = mat.m10;
-
- if (m00 > m11 && m00 > m22)
- {
- float s = (float)sqrt(1.0f + m00 - m11 - m22)*2.0f;
- float invS = 1.0f/s;
-
- result.w = (mat.m6 - mat.m9)*invS;
- result.x = s*0.25f;
- result.y = (mat.m4 + mat.m1)*invS;
- result.z = (mat.m8 + mat.m2)*invS;
- }
- else if (m11 > m22)
- {
- float s = sqrtf(1.0f + m11 - m00 - m22)*2.0f;
- float invS = 1.0f/s;
-
- result.w = (mat.m8 - mat.m2)*invS;
- result.x = (mat.m4 + mat.m1)*invS;
- result.y = s*0.25f;
- result.z = (mat.m9 + mat.m6)*invS;
- }
- else
- {
- float s = sqrtf(1.0f + m22 - m00 - m11)*2.0f;
- float invS = 1.0f/s;
-
- result.w = (mat.m1 - mat.m4)*invS;
- result.x = (mat.m8 + mat.m2)*invS;
- result.y = (mat.m9 + mat.m6)*invS;
- result.z = s*0.25f;
- }
+ float s = sqrtf(1.0f + mat.m10 - mat.m0 - mat.m5)*2;
+ result.x = (mat.m2 + mat.m8)/s;
+ result.y = (mat.m9 + mat.m6)/s;
+ result.z = 0.25f*s;
+ result.w = (mat.m4 - mat.m1)/s;
}
return result;
@@ -1247,45 +1388,24 @@ RMDEF Quaternion QuaternionFromMatrix(Matrix mat)
// Returns a matrix for a given quaternion
RMDEF Matrix QuaternionToMatrix(Quaternion q)
{
- Matrix result = { 0 };
-
- float x = q.x, y = q.y, z = q.z, w = q.w;
-
- float x2 = x + x;
- float y2 = y + y;
- float z2 = z + z;
+ Matrix result = MatrixIdentity();
- float length = QuaternionLength(q);
- float lengthSquared = length*length;
+ float a2 = 2*(q.x*q.x), b2=2*(q.y*q.y), c2=2*(q.z*q.z); //, d2=2*(q.w*q.w);
- float xx = x*x2/lengthSquared;
- float xy = x*y2/lengthSquared;
- float xz = x*z2/lengthSquared;
+ float ab = 2*(q.x*q.y), ac=2*(q.x*q.z), bc=2*(q.y*q.z);
+ float ad = 2*(q.x*q.w), bd=2*(q.y*q.w), cd=2*(q.z*q.w);
- float yy = y*y2/lengthSquared;
- float yz = y*z2/lengthSquared;
- float zz = z*z2/lengthSquared;
+ result.m0 = 1 - b2 - c2;
+ result.m1 = ab - cd;
+ result.m2 = ac + bd;
- float wx = w*x2/lengthSquared;
- float wy = w*y2/lengthSquared;
- float wz = w*z2/lengthSquared;
+ result.m4 = ab + cd;
+ result.m5 = 1 - a2 - c2;
+ result.m6 = bc - ad;
- result.m0 = 1.0f - (yy + zz);
- result.m1 = xy - wz;
- result.m2 = xz + wy;
- result.m3 = 0.0f;
- result.m4 = xy + wz;
- result.m5 = 1.0f - (xx + zz);
- result.m6 = yz - wx;
- result.m7 = 0.0f;
- result.m8 = xz - wy;
- result.m9 = yz + wx;
- result.m10 = 1.0f - (xx + yy);
- result.m11 = 0.0f;
- result.m12 = 0.0f;
- result.m13 = 0.0f;
- result.m14 = 0.0f;
- result.m15 = 1.0f;
+ result.m8 = ac - bd;
+ result.m9 = bc + ad;
+ result.m10 = 1 - a2 - b2;
return result;
}
@@ -1341,17 +1461,18 @@ RMDEF void QuaternionToAxisAngle(Quaternion q, Vector3 *outAxis, float *outAngle
*outAngle = resAngle;
}
-// Returns he quaternion equivalent to Euler angles
-RMDEF Quaternion QuaternionFromEuler(float roll, float pitch, float yaw)
+// Returns the quaternion equivalent to Euler angles
+// NOTE: Rotation order is ZYX
+RMDEF Quaternion QuaternionFromEuler(float pitch, float yaw, float roll)
{
Quaternion q = { 0 };
- float x0 = cosf(roll*0.5f);
- float x1 = sinf(roll*0.5f);
- float y0 = cosf(pitch*0.5f);
- float y1 = sinf(pitch*0.5f);
- float z0 = cosf(yaw*0.5f);
- float z1 = sinf(yaw*0.5f);
+ float x0 = cosf(pitch*0.5f);
+ float x1 = sinf(pitch*0.5f);
+ float y0 = cosf(yaw*0.5f);
+ float y1 = sinf(yaw*0.5f);
+ float z0 = cosf(roll*0.5f);
+ float z1 = sinf(roll*0.5f);
q.x = x1*y0*z0 - x0*y1*z1;
q.y = x0*y1*z0 + x1*y0*z1;
@@ -1399,4 +1520,27 @@ RMDEF Quaternion QuaternionTransform(Quaternion q, Matrix mat)
return result;
}
+// Projects a Vector3 from screen space into object space
+RMDEF Vector3 Vector3Unproject(Vector3 source, Matrix projection, Matrix view)
+{
+ Vector3 result = { 0.0f, 0.0f, 0.0f };
+
+ // Calculate unproject matrix (multiply view patrix by projection matrix) and invert it
+ Matrix matViewProj = MatrixMultiply(view, projection);
+ matViewProj = MatrixInvert(matViewProj);
+
+ // Create quaternion from source point
+ Quaternion quat = { source.x, source.y, source.z, 1.0f };
+
+ // Multiply quat point by unproject matrix
+ quat = QuaternionTransform(quat, matViewProj);
+
+ // Normalized world points in vectors
+ result.x = quat.x/quat.w;
+ result.y = quat.y/quat.w;
+ result.z = quat.z/quat.w;
+
+ return result;
+}
+
#endif // RAYMATH_H