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-//---------------------------------------------------------------------------------- -// Module Functions Definition - Utils math -//---------------------------------------------------------------------------------- - -// Clamp float value -RMDEF float Clamp(float value, float min, float max) -{ - const float res = value < min ? min : value; - return res > max ? max : res; -} - -//---------------------------------------------------------------------------------- -// Module Functions Definition - Vector2 math -//---------------------------------------------------------------------------------- - -// Vector with components value 0.0f -RMDEF Vector2 Vector2Zero(void) -{ - Vector2 result = { 0.0f, 0.0f }; - return result; -} - -// Vector with components value 1.0f -RMDEF Vector2 Vector2One(void) -{ - Vector2 result = { 1.0f, 1.0f }; - return result; -} - -// Add two vectors (v1 + v2) -RMDEF Vector2 Vector2Add(Vector2 v1, Vector2 v2) -{ - Vector2 result = { v1.x + v2.x, v1.y + v2.y }; - return result; -} - -// Subtract two vectors (v1 - v2) -RMDEF Vector2 Vector2Subtract(Vector2 v1, Vector2 v2) -{ - Vector2 result = { v1.x - v2.x, v1.y - v2.y }; - return result; -} - -// Calculate vector length -RMDEF float Vector2Length(Vector2 v) -{ - float result = sqrtf((v.x*v.x) + (v.y*v.y)); - return result; -} - -// Calculate two vectors dot product -RMDEF float Vector2DotProduct(Vector2 v1, Vector2 v2) -{ - float result = (v1.x*v2.x + v1.y*v2.y); - return result; -} - -// Calculate distance between two vectors -RMDEF float Vector2Distance(Vector2 v1, Vector2 v2) -{ - float result = sqrtf((v1.x - v2.x)*(v1.x - v2.x) + (v1.y - v2.y)*(v1.y - v2.y)); - return result; -} - -// Calculate angle from two vectors in X-axis -RMDEF float Vector2Angle(Vector2 v1, Vector2 v2) -{ - float result = atan2f(v2.y - v1.y, v2.x - v1.x)*(180.0f/PI); - if (result < 0) result += 360.0f; - return result; -} - -// Scale vector (multiply by value) -RMDEF Vector2 Vector2Scale(Vector2 v, float scale) -{ - Vector2 result = { v.x*scale, v.y*scale }; - return result; -} - -// Negate vector -RMDEF Vector2 Vector2Negate(Vector2 v) -{ - Vector2 result = { -v.x, -v.y }; - 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; -} - -// Normalize provided vector -RMDEF Vector2 Vector2Normalize(Vector2 v) -{ - Vector2 result = Vector2Divide(v, Vector2Length(v)); - return result; -} - -//---------------------------------------------------------------------------------- -// Module Functions Definition - Vector3 math -//---------------------------------------------------------------------------------- - -// Vector with components value 0.0f -RMDEF Vector3 Vector3Zero(void) -{ - Vector3 result = { 0.0f, 0.0f, 0.0f }; - return result; -} - -// Vector with components value 1.0f -RMDEF Vector3 Vector3One(void) -{ - Vector3 result = { 1.0f, 1.0f, 1.0f }; - return result; -} - -// Add two vectors -RMDEF Vector3 Vector3Add(Vector3 v1, Vector3 v2) -{ - Vector3 result = { v1.x + v2.x, v1.y + v2.y, v1.z + v2.z }; - return result; -} - -// Substract two vectors -RMDEF Vector3 Vector3Subtract(Vector3 v1, Vector3 v2) -{ - Vector3 result = { v1.x - v2.x, v1.y - v2.y, v1.z - v2.z }; - return result; -} - -// Multiply vector by scalar -RMDEF Vector3 Vector3Multiply(Vector3 v, float scalar) -{ - Vector3 result = { v.x*scalar, v.y*scalar, v.z*scalar }; - return result; -} - -// Multiply vector by vector -RMDEF Vector3 Vector3MultiplyV(Vector3 v1, Vector3 v2) -{ - Vector3 result = { v1.x*v2.x, v1.y*v2.y, v1.z*v2.z }; - return result; -} - -// Calculate two vectors cross product -RMDEF Vector3 Vector3CrossProduct(Vector3 v1, Vector3 v2) -{ - Vector3 result = { v1.y*v2.z - v1.z*v2.y, v1.z*v2.x - v1.x*v2.z, v1.x*v2.y - v1.y*v2.x }; - return result; -} - -// Calculate one vector perpendicular vector -RMDEF Vector3 Vector3Perpendicular(Vector3 v) -{ - Vector3 result = { 0 }; - - float min = fabs(v.x); - Vector3 cardinalAxis = {1.0f, 0.0f, 0.0f}; - - if (fabs(v.y) < min) - { - min = fabs(v.y); - Vector3 tmp = {0.0f, 1.0f, 0.0f}; - cardinalAxis = tmp; - } - - if (fabs(v.z) < min) - { - Vector3 tmp = {0.0f, 0.0f, 1.0f}; - cardinalAxis = tmp; - } - - result = Vector3CrossProduct(v, cardinalAxis); - - return result; -} - -// Calculate vector length -RMDEF float Vector3Length(const Vector3 v) -{ - float result = sqrtf(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) -{ - float result = (v1.x*v2.x + v1.y*v2.y + v1.z*v2.z); - return result; -} - -// Calculate distance between two vectors -RMDEF float Vector3Distance(Vector3 v1, Vector3 v2) -{ - float dx = v2.x - v1.x; - float dy = v2.y - v1.y; - float dz = v2.z - v1.z; - float result = sqrtf(dx*dx + dy*dy + dz*dz); - return result; -} - -// Scale provided vector -RMDEF Vector3 Vector3Scale(Vector3 v, float scale) -{ - Vector3 result = { v.x*scale, v.y*scale, v.z*scale }; - return result; -} - -// Negate provided vector (invert direction) -RMDEF Vector3 Vector3Negate(Vector3 v) -{ - Vector3 result = { -v.x, -v.y, -v.z }; - return result; -} - -// Normalize provided vector -RMDEF Vector3 Vector3Normalize(Vector3 v) -{ - Vector3 result = v; - - float length, ilength; - length = Vector3Length(v); - if (length == 0.0f) length = 1.0f; - ilength = 1.0f/length; - - result.x *= ilength; - result.y *= ilength; - result.z *= ilength; - - return result; -} - -// Orthonormalize provided vectors -// Makes vectors normalized and orthogonal to each other -// Gram-Schmidt function implementation -RMDEF void Vector3OrthoNormalize(Vector3 *v1, Vector3 *v2) -{ - *v1 = Vector3Normalize(*v1); - Vector3 vn = Vector3CrossProduct(*v1, *v2); - vn = Vector3Normalize(vn); - *v2 = Vector3CrossProduct(vn, *v1); -} - -// Transforms a Vector3 by a given Matrix -RMDEF Vector3 Vector3Transform(Vector3 v, Matrix mat) -{ - Vector3 result = { 0 }; - float x = v.x; - float y = v.y; - float z = v.z; - - result.x = mat.m0*x + mat.m4*y + mat.m8*z + mat.m12; - result.y = mat.m1*x + mat.m5*y + mat.m9*z + mat.m13; - result.z = mat.m2*x + mat.m6*y + mat.m10*z + mat.m14; - - return result; -}; - -// Transform a vector by quaternion rotation -RMDEF Vector3 Vector3RotateByQuaternion(Vector3 v, Quaternion q) -{ - Vector3 result = { 0 }; - - result.x = v.x*(q.x*q.x + q.w*q.w - q.y*q.y - q.z*q.z) + v.y*(2*q.x*q.y - 2*q.w*q.z) + v.z*(2*q.x*q.z + 2*q.w*q.y); - result.y = v.x*(2*q.w*q.z + 2*q.x*q.y) + v.y*(q.w*q.w - q.x*q.x + q.y*q.y - q.z*q.z) + v.z*(-2*q.w*q.x + 2*q.y*q.z); - result.z = v.x*(-2*q.w*q.y + 2*q.x*q.z) + v.y*(2*q.w*q.x + 2*q.y*q.z)+ v.z*(q.w*q.w - q.x*q.x - q.y*q.y + q.z*q.z); - - return result; -} - -// Calculate linear interpolation between two vectors -RMDEF Vector3 Vector3Lerp(Vector3 v1, Vector3 v2, float amount) -{ - Vector3 result = { 0 }; - - result.x = v1.x + amount*(v2.x - v1.x); - result.y = v1.y + amount*(v2.y - v1.y); - result.z = v1.z + amount*(v2.z - v1.z); - - return result; -} - -// Calculate reflected vector to normal -RMDEF Vector3 Vector3Reflect(Vector3 v, Vector3 normal) -{ - // I is the original vector - // N is the normal of the incident plane - // R = I - (2*N*( DotProduct[ I,N] )) - - Vector3 result = { 0 }; - - float dotProduct = Vector3DotProduct(v, normal); - - result.x = v.x - (2.0f*normal.x)*dotProduct; - result.y = v.y - (2.0f*normal.y)*dotProduct; - result.z = v.z - (2.0f*normal.z)*dotProduct; - - return result; -} - -// Return min value for each pair of components -RMDEF Vector3 Vector3Min(Vector3 v1, Vector3 v2) -{ - Vector3 result = { 0 }; - - result.x = fminf(v1.x, v2.x); - result.y = fminf(v1.y, v2.y); - result.z = fminf(v1.z, v2.z); - - return result; -} - -// Return max value for each pair of components -RMDEF Vector3 Vector3Max(Vector3 v1, Vector3 v2) -{ - Vector3 result = { 0 }; - - result.x = fmaxf(v1.x, v2.x); - result.y = fmaxf(v1.y, v2.y); - result.z = fmaxf(v1.z, v2.z); - - return result; -} - -// Compute barycenter coordinates (u, v, w) for point p with respect to triangle (a, b, c) -// NOTE: Assumes P is on the plane of the triangle -RMDEF Vector3 Vector3Barycenter(Vector3 p, Vector3 a, Vector3 b, Vector3 c) -{ - //Vector v0 = b - a, v1 = c - a, v2 = p - a; - - Vector3 v0 = Vector3Subtract(b, a); - Vector3 v1 = Vector3Subtract(c, a); - Vector3 v2 = Vector3Subtract(p, a); - float d00 = Vector3DotProduct(v0, v0); - float d01 = Vector3DotProduct(v0, v1); - float d11 = Vector3DotProduct(v1, v1); - float d20 = Vector3DotProduct(v2, v0); - float d21 = Vector3DotProduct(v2, v1); - - float denom = d00*d11 - d01*d01; - - Vector3 result = { 0 }; - - result.y = (d11*d20 - d01*d21)/denom; - result.z = (d00*d21 - d01*d20)/denom; - result.x = 1.0f - (result.z + result.y); - - return result; -} - -// Returns Vector3 as float array -RMDEF float3 Vector3ToFloatV(Vector3 v) -{ - float3 buffer = { 0 }; - - buffer.v[0] = v.x; - buffer.v[1] = v.y; - buffer.v[2] = v.z; - - return buffer; -} - -//---------------------------------------------------------------------------------- -// Module Functions Definition - Matrix math -//---------------------------------------------------------------------------------- - -// Compute matrix determinant -RMDEF float MatrixDeterminant(Matrix mat) -{ - float result = { 0 }; - - // Cache the matrix values (speed optimization) - float a00 = mat.m0, a01 = mat.m1, a02 = mat.m2, a03 = mat.m3; - float a10 = mat.m4, a11 = mat.m5, a12 = mat.m6, a13 = mat.m7; - float a20 = mat.m8, a21 = mat.m9, a22 = mat.m10, a23 = mat.m11; - float a30 = mat.m12, a31 = mat.m13, a32 = mat.m14, a33 = mat.m15; - - result = a30*a21*a12*a03 - a20*a31*a12*a03 - a30*a11*a22*a03 + a10*a31*a22*a03 + - a20*a11*a32*a03 - a10*a21*a32*a03 - a30*a21*a02*a13 + a20*a31*a02*a13 + - a30*a01*a22*a13 - a00*a31*a22*a13 - a20*a01*a32*a13 + a00*a21*a32*a13 + - a30*a11*a02*a23 - a10*a31*a02*a23 - a30*a01*a12*a23 + a00*a31*a12*a23 + - a10*a01*a32*a23 - a00*a11*a32*a23 - a20*a11*a02*a33 + a10*a21*a02*a33 + - a20*a01*a12*a33 - a00*a21*a12*a33 - a10*a01*a22*a33 + a00*a11*a22*a33; - - return result; -} - -// Returns the trace of the matrix (sum of the values along the diagonal) -RMDEF float MatrixTrace(Matrix mat) -{ - float result = (mat.m0 + mat.m5 + mat.m10 + mat.m15); - return result; -} - -// Transposes provided matrix -RMDEF Matrix MatrixTranspose(Matrix mat) -{ - Matrix result = { 0 }; - - result.m0 = mat.m0; - result.m1 = mat.m4; - result.m2 = mat.m8; - result.m3 = mat.m12; - result.m4 = mat.m1; - result.m5 = mat.m5; - result.m6 = mat.m9; - result.m7 = mat.m13; - result.m8 = mat.m2; - result.m9 = mat.m6; - result.m10 = mat.m10; - result.m11 = mat.m14; - result.m12 = mat.m3; - result.m13 = mat.m7; - result.m14 = mat.m11; - result.m15 = mat.m15; - - return result; -} - -// Invert provided matrix -RMDEF Matrix MatrixInvert(Matrix mat) -{ - Matrix result = { 0 }; - - // Cache the matrix values (speed optimization) - float a00 = mat.m0, a01 = mat.m1, a02 = mat.m2, a03 = mat.m3; - float a10 = mat.m4, a11 = mat.m5, a12 = mat.m6, a13 = mat.m7; - float a20 = mat.m8, a21 = mat.m9, a22 = mat.m10, a23 = mat.m11; - float a30 = mat.m12, a31 = mat.m13, a32 = mat.m14, a33 = mat.m15; - - float b00 = a00*a11 - a01*a10; - float b01 = a00*a12 - a02*a10; - float b02 = a00*a13 - a03*a10; - float b03 = a01*a12 - a02*a11; - float b04 = a01*a13 - a03*a11; - float b05 = a02*a13 - a03*a12; - float b06 = a20*a31 - a21*a30; - float b07 = a20*a32 - a22*a30; - float b08 = a20*a33 - a23*a30; - float b09 = a21*a32 - a22*a31; - float b10 = a21*a33 - a23*a31; - float b11 = a22*a33 - a23*a32; - - // Calculate the invert determinant (inlined to avoid double-caching) - float invDet = 1.0f/(b00*b11 - b01*b10 + b02*b09 + b03*b08 - b04*b07 + b05*b06); - - result.m0 = (a11*b11 - a12*b10 + a13*b09)*invDet; - result.m1 = (-a01*b11 + a02*b10 - a03*b09)*invDet; - result.m2 = (a31*b05 - a32*b04 + a33*b03)*invDet; - result.m3 = (-a21*b05 + a22*b04 - a23*b03)*invDet; - result.m4 = (-a10*b11 + a12*b08 - a13*b07)*invDet; - result.m5 = (a00*b11 - a02*b08 + a03*b07)*invDet; - result.m6 = (-a30*b05 + a32*b02 - a33*b01)*invDet; - result.m7 = (a20*b05 - a22*b02 + a23*b01)*invDet; - result.m8 = (a10*b10 - a11*b08 + a13*b06)*invDet; - result.m9 = (-a00*b10 + a01*b08 - a03*b06)*invDet; - result.m10 = (a30*b04 - a31*b02 + a33*b00)*invDet; - result.m11 = (-a20*b04 + a21*b02 - a23*b00)*invDet; - result.m12 = (-a10*b09 + a11*b07 - a12*b06)*invDet; - result.m13 = (a00*b09 - a01*b07 + a02*b06)*invDet; - result.m14 = (-a30*b03 + a31*b01 - a32*b00)*invDet; - result.m15 = (a20*b03 - a21*b01 + a22*b00)*invDet; - - return result; -} - -// Normalize provided matrix -RMDEF Matrix MatrixNormalize(Matrix mat) -{ - Matrix result = { 0 }; - - float det = MatrixDeterminant(mat); - - result.m0 = mat.m0/det; - result.m1 = mat.m1/det; - result.m2 = mat.m2/det; - result.m3 = mat.m3/det; - result.m4 = mat.m4/det; - result.m5 = mat.m5/det; - result.m6 = mat.m6/det; - result.m7 = mat.m7/det; - result.m8 = mat.m8/det; - result.m9 = mat.m9/det; - result.m10 = mat.m10/det; - result.m11 = mat.m11/det; - result.m12 = mat.m12/det; - result.m13 = mat.m13/det; - result.m14 = mat.m14/det; - result.m15 = mat.m15/det; - - return result; -} - -// Returns identity matrix -RMDEF Matrix MatrixIdentity(void) -{ - Matrix result = { 1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f }; - - return result; -} - -// Add two matrices -RMDEF Matrix MatrixAdd(Matrix left, Matrix right) -{ - Matrix result = MatrixIdentity(); - - result.m0 = left.m0 + right.m0; - result.m1 = left.m1 + right.m1; - result.m2 = left.m2 + right.m2; - result.m3 = left.m3 + right.m3; - result.m4 = left.m4 + right.m4; - result.m5 = left.m5 + right.m5; - result.m6 = left.m6 + right.m6; - result.m7 = left.m7 + right.m7; - result.m8 = left.m8 + right.m8; - result.m9 = left.m9 + right.m9; - result.m10 = left.m10 + right.m10; - result.m11 = left.m11 + right.m11; - result.m12 = left.m12 + right.m12; - result.m13 = left.m13 + right.m13; - result.m14 = left.m14 + right.m14; - result.m15 = left.m15 + right.m15; - - return result; -} - -// Substract two matrices (left - right) -RMDEF Matrix MatrixSubstract(Matrix left, Matrix right) -{ - Matrix result = MatrixIdentity(); - - result.m0 = left.m0 - right.m0; - result.m1 = left.m1 - right.m1; - result.m2 = left.m2 - right.m2; - result.m3 = left.m3 - right.m3; - result.m4 = left.m4 - right.m4; - result.m5 = left.m5 - right.m5; - result.m6 = left.m6 - right.m6; - result.m7 = left.m7 - right.m7; - result.m8 = left.m8 - right.m8; - result.m9 = left.m9 - right.m9; - result.m10 = left.m10 - right.m10; - result.m11 = left.m11 - right.m11; - result.m12 = left.m12 - right.m12; - result.m13 = left.m13 - right.m13; - result.m14 = left.m14 - right.m14; - result.m15 = left.m15 - right.m15; - - return result; -} - -// Returns translation matrix -RMDEF Matrix MatrixTranslate(float x, float y, float z) -{ - Matrix result = { 1.0f, 0.0f, 0.0f, x, - 0.0f, 1.0f, 0.0f, y, - 0.0f, 0.0f, 1.0f, z, - 0.0f, 0.0f, 0.0f, 1.0f }; - - return result; -} - -// Create rotation matrix from axis and angle -// NOTE: Angle should be provided in radians -RMDEF Matrix MatrixRotate(Vector3 axis, float angle) -{ - Matrix result = { 0 }; - - float x = axis.x, y = axis.y, z = axis.z; - - float length = sqrtf(x*x + y*y + z*z); - - if ((length != 1.0f) && (length != 0.0f)) - { - length = 1.0f/length; - x *= length; - y *= length; - z *= length; - } - - float sinres = sinf(angle); - float cosres = cosf(angle); - float t = 1.0f - cosres; - - result.m0 = x*x*t + cosres; - result.m1 = y*x*t + z*sinres; - result.m2 = z*x*t - y*sinres; - result.m3 = 0.0f; - - result.m4 = x*y*t - z*sinres; - result.m5 = y*y*t + cosres; - result.m6 = z*y*t + x*sinres; - result.m7 = 0.0f; - - result.m8 = x*z*t + y*sinres; - result.m9 = y*z*t - x*sinres; - result.m10 = z*z*t + cosres; - result.m11 = 0.0f; - - result.m12 = 0.0f; - result.m13 = 0.0f; - result.m14 = 0.0f; - result.m15 = 1.0f; - - return result; -} - -// Returns x-rotation matrix (angle in radians) -RMDEF Matrix MatrixRotateX(float angle) -{ - Matrix result = MatrixIdentity(); - - float cosres = cosf(angle); - float sinres = sinf(angle); - - result.m5 = cosres; - result.m6 = -sinres; - result.m9 = sinres; - result.m10 = cosres; - - return result; -} - -// Returns y-rotation matrix (angle in radians) -RMDEF Matrix MatrixRotateY(float angle) -{ - Matrix result = MatrixIdentity(); - - float cosres = cosf(angle); - float sinres = sinf(angle); - - result.m0 = cosres; - result.m2 = sinres; - result.m8 = -sinres; - result.m10 = cosres; - - return result; -} - -// Returns z-rotation matrix (angle in radians) -RMDEF Matrix MatrixRotateZ(float angle) -{ - Matrix result = MatrixIdentity(); - - float cosres = cosf(angle); - float sinres = sinf(angle); - - result.m0 = cosres; - result.m1 = -sinres; - result.m4 = sinres; - result.m5 = cosres; - - 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; -} - -// 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 perspective projection matrix -RMDEF Matrix MatrixFrustum(double left, double right, double bottom, double top, double near, double far) -{ - Matrix result = { 0 }; - - float rl = (right - left); - float tb = (top - bottom); - float fn = (far - near); - - result.m0 = (near*2.0f)/rl; - result.m1 = 0.0f; - result.m2 = 0.0f; - result.m3 = 0.0f; - - result.m4 = 0.0f; - result.m5 = (near*2.0f)/tb; - result.m6 = 0.0f; - result.m7 = 0.0f; - - result.m8 = (right + left)/rl; - result.m9 = (top + bottom)/tb; - result.m10 = -(far + near)/fn; - result.m11 = -1.0f; - - result.m12 = 0.0f; - result.m13 = 0.0f; - result.m14 = -(far*near*2.0f)/fn; - result.m15 = 0.0f; - - return result; -} - -// Returns perspective projection matrix -// NOTE: Angle should be provided in radians -RMDEF Matrix MatrixPerspective(double fovy, double aspect, double near, double far) -{ - double top = near*tan(fovy*0.5); - double right = top*aspect; - Matrix result = MatrixFrustum(-right, right, -top, top, near, far); - - return result; -} - -// Returns orthographic projection matrix -RMDEF Matrix MatrixOrtho(double left, double right, double bottom, double top, double near, double far) -{ - Matrix result = { 0 }; - - float rl = (right - left); - float tb = (top - bottom); - float fn = (far - near); - - result.m0 = 2.0f/rl; - result.m1 = 0.0f; - result.m2 = 0.0f; - result.m3 = 0.0f; - result.m4 = 0.0f; - result.m5 = 2.0f/tb; - result.m6 = 0.0f; - result.m7 = 0.0f; - result.m8 = 0.0f; - result.m9 = 0.0f; - result.m10 = -2.0f/fn; - result.m11 = 0.0f; - result.m12 = -(left + right)/rl; - result.m13 = -(top + bottom)/tb; - result.m14 = -(far + near)/fn; - result.m15 = 1.0f; - - return result; -} - -// Returns camera look-at matrix (view matrix) -RMDEF Matrix MatrixLookAt(Vector3 eye, Vector3 target, Vector3 up) -{ - Matrix result = { 0 }; - - Vector3 z = Vector3Subtract(eye, target); - z = Vector3Normalize(z); - 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.m3 = 0.0f; - result.m4 = y.x; - result.m5 = y.y; - result.m6 = y.z; - result.m7 = 0.0f; - result.m8 = z.x; - result.m9 = z.y; - result.m10 = z.z; - result.m11 = 0.0f; - result.m12 = eye.x; - result.m13 = eye.y; - result.m14 = eye.z; - result.m15 = 1.0f; - - result = MatrixInvert(result); - - return result; -} - -// Returns float array of matrix data -RMDEF float16 MatrixToFloatV(Matrix mat) -{ - float16 buffer = { 0 }; - - buffer.v[0] = mat.m0; - buffer.v[1] = mat.m1; - buffer.v[2] = mat.m2; - buffer.v[3] = mat.m3; - buffer.v[4] = mat.m4; - buffer.v[5] = mat.m5; - buffer.v[6] = mat.m6; - buffer.v[7] = mat.m7; - buffer.v[8] = mat.m8; - buffer.v[9] = mat.m9; - buffer.v[10] = mat.m10; - buffer.v[11] = mat.m11; - buffer.v[12] = mat.m12; - buffer.v[13] = mat.m13; - buffer.v[14] = mat.m14; - buffer.v[15] = mat.m15; - - return buffer; -} - -//---------------------------------------------------------------------------------- -// Module Functions Definition - Quaternion math -//---------------------------------------------------------------------------------- - -// Returns identity quaternion -RMDEF Quaternion QuaternionIdentity(void) -{ - Quaternion result = { 0.0f, 0.0f, 0.0f, 1.0f }; - return result; -} - -// Computes the length of a quaternion -RMDEF float QuaternionLength(Quaternion q) -{ - float result = sqrt(q.x*q.x + q.y*q.y + q.z*q.z + q.w*q.w); - return result; -} - -// Normalize provided quaternion -RMDEF Quaternion QuaternionNormalize(Quaternion q) -{ - Quaternion result = { 0 }; - - float length, ilength; - length = QuaternionLength(q); - if (length == 0.0f) length = 1.0f; - ilength = 1.0f/length; - - result.x = q.x*ilength; - result.y = q.y*ilength; - result.z = q.z*ilength; - result.w = q.w*ilength; - - return result; -} - -// Invert provided quaternion -RMDEF Quaternion QuaternionInvert(Quaternion q) -{ - Quaternion result = q; - float length = QuaternionLength(q); - float lengthSq = length*length; - - if (lengthSq != 0.0) - { - float i = 1.0f/lengthSq; - - result.x *= -i; - result.y *= -i; - result.z *= -i; - result.w *= i; - } - - return result; -} - -// Calculate two quaternion multiplication -RMDEF Quaternion QuaternionMultiply(Quaternion q1, Quaternion q2) -{ - Quaternion result = { 0 }; - - float qax = q1.x, qay = q1.y, qaz = q1.z, qaw = q1.w; - float qbx = q2.x, qby = q2.y, qbz = q2.z, qbw = q2.w; - - result.x = qax*qbw + qaw*qbx + qay*qbz - qaz*qby; - result.y = qay*qbw + qaw*qby + qaz*qbx - qax*qbz; - result.z = qaz*qbw + qaw*qbz + qax*qby - qay*qbx; - result.w = qaw*qbw - qax*qbx - qay*qby - qaz*qbz; - - return result; -} - -// Calculate linear interpolation between two quaternions -RMDEF Quaternion QuaternionLerp(Quaternion q1, Quaternion q2, float amount) -{ - Quaternion result = { 0 }; - - result.x = q1.x + amount*(q2.x - q1.x); - result.y = q1.y + amount*(q2.y - q1.y); - result.z = q1.z + amount*(q2.z - q1.z); - result.w = q1.w + amount*(q2.w - q1.w); - - return result; -} - -// Calculate slerp-optimized interpolation between two quaternions -RMDEF Quaternion QuaternionNlerp(Quaternion q1, Quaternion q2, float amount) -{ - Quaternion result = QuaternionLerp(q1, q2, amount); - result = QuaternionNormalize(result); - - return result; -} - -// Calculates spherical linear interpolation between two quaternions -RMDEF Quaternion QuaternionSlerp(Quaternion q1, Quaternion q2, float amount) -{ - Quaternion result = { 0 }; - - float cosHalfTheta = q1.x*q2.x + q1.y*q2.y + q1.z*q2.z + q1.w*q2.w; - - if (fabs(cosHalfTheta) >= 1.0f) result = q1; - else if (cosHalfTheta > 0.95f) result = QuaternionNlerp(q1, q2, amount); - else - { - float halfTheta = acos(cosHalfTheta); - float sinHalfTheta = sqrt(1.0f - cosHalfTheta*cosHalfTheta); - - if (fabs(sinHalfTheta) < 0.001f) - { - result.x = (q1.x*0.5f + q2.x*0.5f); - result.y = (q1.y*0.5f + q2.y*0.5f); - result.z = (q1.z*0.5f + q2.z*0.5f); - result.w = (q1.w*0.5f + q2.w*0.5f); - } - else - { - float ratioA = sinf((1 - amount)*halfTheta)/sinHalfTheta; - float ratioB = sinf(amount*halfTheta)/sinHalfTheta; - - result.x = (q1.x*ratioA + q2.x*ratioB); - result.y = (q1.y*ratioA + q2.y*ratioB); - result.z = (q1.z*ratioA + q2.z*ratioB); - result.w = (q1.w*ratioA + q2.w*ratioB); - } - } - - return result; -} - -// Calculate quaternion based on the rotation from one vector to another -RMDEF Quaternion QuaternionFromVector3ToVector3(Vector3 from, Vector3 to) -{ - Quaternion result = { 0 }; - - float cos2Theta = Vector3DotProduct(from, to); - Vector3 cross = Vector3CrossProduct(from, to); - - result.x = cross.x; - result.y = cross.y; - result.z = cross.y; - result.w = 1.0f + cos2Theta; // NOTE: Added QuaternioIdentity() - - // Normalize to essentially nlerp the original and identity to 0.5 - result = QuaternionNormalize(result); - - // Above lines are equivalent to: - //Quaternion result = QuaternionNlerp(q, QuaternionIdentity(), 0.5f); - - return result; -} - -// Returns a quaternion for a given rotation matrix -RMDEF Quaternion QuaternionFromMatrix(Matrix mat) -{ - Quaternion result = { 0 }; - - float trace = MatrixTrace(mat); - - if (trace > 0.0f) - { - float s = (float)sqrt(trace + 1)*2.0f; - float invS = 1.0f/s; - - 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; - } - 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 = (float)sqrt(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 = (float)sqrt(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; - } - } - - return result; -} - -// 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; - - float length = QuaternionLength(q); - float lengthSquared = length*length; - - float xx = x*x2/lengthSquared; - float xy = x*y2/lengthSquared; - float xz = x*z2/lengthSquared; - - float yy = y*y2/lengthSquared; - float yz = y*z2/lengthSquared; - float zz = z*z2/lengthSquared; - - float wx = w*x2/lengthSquared; - float wy = w*y2/lengthSquared; - float wz = w*z2/lengthSquared; - - 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; - - return result; -} - -// Returns rotation quaternion for an angle and axis -// NOTE: angle must be provided in radians -RMDEF Quaternion QuaternionFromAxisAngle(Vector3 axis, float angle) -{ - Quaternion result = { 0.0f, 0.0f, 0.0f, 1.0f }; - - if (Vector3Length(axis) != 0.0f) - - angle *= 0.5f; - - axis = Vector3Normalize(axis); - - float sinres = sinf(angle); - float cosres = cosf(angle); - - result.x = axis.x*sinres; - result.y = axis.y*sinres; - result.z = axis.z*sinres; - result.w = cosres; - - result = QuaternionNormalize(result); - - return result; -} - -// Returns the rotation angle and axis for a given quaternion -RMDEF void QuaternionToAxisAngle(Quaternion q, Vector3 *outAxis, float *outAngle) -{ - if (fabs(q.w) > 1.0f) q = QuaternionNormalize(q); - - Vector3 resAxis = { 0.0f, 0.0f, 0.0f }; - float resAngle = 0.0f; - - resAngle = 2.0f*(float)acos(q.w); - float den = (float)sqrt(1.0f - q.w*q.w); - - if (den > 0.0001f) - { - resAxis.x = q.x/den; - resAxis.y = q.y/den; - resAxis.z = q.z/den; - } - else - { - // This occurs when the angle is zero. - // Not a problem: just set an arbitrary normalized axis. - resAxis.x = 1.0f; - } - - *outAxis = resAxis; - *outAngle = resAngle; -} - -// Returns he quaternion equivalent to Euler angles -RMDEF Quaternion QuaternionFromEuler(float roll, float pitch, float yaw) -{ - 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); - - q.x = x1*y0*z0 - x0*y1*z1; - q.y = x0*y1*z0 + x1*y0*z1; - q.z = x0*y0*z1 - x1*y1*z0; - q.w = x0*y0*z0 + x1*y1*z1; - - return q; -} - -// Return the Euler angles equivalent to quaternion (roll, pitch, yaw) -// NOTE: Angles are returned in a Vector3 struct in degrees -RMDEF Vector3 QuaternionToEuler(Quaternion q) -{ - Vector3 result = { 0 }; - - // roll (x-axis rotation) - float x0 = 2.0f*(q.w*q.x + q.y*q.z); - float x1 = 1.0f - 2.0f*(q.x*q.x + q.y*q.y); - result.x = atan2f(x0, x1)*RAD2DEG; - - // pitch (y-axis rotation) - float y0 = 2.0f*(q.w*q.y - q.z*q.x); - y0 = y0 > 1.0f ? 1.0f : y0; - y0 = y0 < -1.0f ? -1.0f : y0; - result.y = asinf(y0)*RAD2DEG; - - // yaw (z-axis rotation) - float z0 = 2.0f*(q.w*q.z + q.x*q.y); - float z1 = 1.0f - 2.0f*(q.y*q.y + q.z*q.z); - result.z = atan2f(z0, z1)*RAD2DEG; - - return result; -} - -// Transform a quaternion given a transformation matrix -RMDEF Quaternion QuaternionTransform(Quaternion q, Matrix mat) -{ - Quaternion result = { 0 }; - - result.x = mat.m0*q.x + mat.m4*q.y + mat.m8*q.z + mat.m12*q.w; - result.y = mat.m1*q.x + mat.m5*q.y + mat.m9*q.z + mat.m13*q.w; - result.z = mat.m2*q.x + mat.m6*q.y + mat.m10*q.z + mat.m14*q.w; - result.w = mat.m3*q.x + mat.m7*q.y + mat.m11*q.z + mat.m15*q.w; - - return result; -} - -#endif // RAYMATH_H diff --git a/examples/others/iqm_loader/riqm.h b/examples/others/iqm_loader/riqm.h deleted file mode 100644 index 41ef8a140..000000000 --- a/examples/others/iqm_loader/riqm.h +++ /dev/null @@ -1,98 +0,0 @@ -/********************************************************************************************** -* -* riqm - InterQuake Model format (IQM) loader for animated meshes -* -* CONFIGURATION: -* -* #define RIQM_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. -* -* -* LICENSE: zlib/libpng -* -* Copyright (c) 2018 Jonas Daeyaert (@culacant) and 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. -* -* Permission is granted to anyone to use this software for any purpose, including commercial -* applications, and to alter it and redistribute it freely, subject to the following restrictions: -* -* 1. The origin of this software must not be misrepresented; you must not claim that you -* wrote the original software. If you use this software in a product, an acknowledgment -* in the product documentation would be appreciated but is not required. -* -* 2. Altered source versions must be plainly marked as such, and must not be misrepresented -* as being the original software. -* -* 3. This notice may not be removed or altered from any source distribution. -* -**********************************************************************************************/ - -#ifndef RIQM_H -#define RIQM_H - -//#define RIQM_STATIC -#ifdef RIQM_STATIC - #define RIQMDEF static // Functions just visible to module including this file -#else - #ifdef __cplusplus - #define RIQMDEF extern "C" // Functions visible from other files (no name mangling of functions in C++) - #else - #define RIQMDEF extern // Functions visible from other files - #endif -#endif - -//---------------------------------------------------------------------------------- -// Types and Structures Definition -//---------------------------------------------------------------------------------- - -#define BONE_NAME_LENGTH 32 // BoneInfo name string length -#define MESH_NAME_LENGTH 32 // Mesh name string length - -//---------------------------------------------------------------------------------- -// Module Functions Declaration -//---------------------------------------------------------------------------------- - - -#endif // RIQM_H - - -/*********************************************************************************** -* -* RIQM IMPLEMENTATION -* -************************************************************************************/ - -#if defined(RIQM_IMPLEMENTATION) - -//#include "utils.h" // Required for: fopen() Android mapping - -#include // Required for: FILE, fopen(), fclose(), feof(), fseek(), fread() -#include // Required for: malloc(), free() -#include // Required for: strncmp(),strcpy() - -#include "raymath.h" // Required for: Vector3, Quaternion functions - -//---------------------------------------------------------------------------------- -// Defines and Macros -//---------------------------------------------------------------------------------- - -//---------------------------------------------------------------------------------- -// Global Variables Definition -//---------------------------------------------------------------------------------- - -//---------------------------------------------------------------------------------- -// Module specific Functions Declaration -//---------------------------------------------------------------------------------- - -#ifdef __cplusplus -extern "C" { // Prevents name mangling of functions -#endif - - - - -#endif