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// Utils math
float Clamp(float value, float min, float max); // Function specifiers definition Defines and Macros Get float vector for Matrix Get float vector for Vector3 Types and Structures Definition Vector2 type Vector3 type Vector4 type Quaternion type Matrix type (OpenGL style 4x4 - right handed, column major) NOTE: Helper types to be used instead of array return types for *ToFloat functions Clamp float value
float Lerp(float start, float end, float amount); // Calculate linear interpolation between two floats
float Normalize(float value, float start, float end); // Normalize input value within input range
float Remap(float value, float inputStart, float inputEnd, float outputStart, float outputEnd); // Remap input value within input range to output range
float Wrap(float value, float min, float max); // Wrap input value from min to max
int FloatEquals(float x, float y); // Check whether two given floats are almost equal
// Vector2 math
Vector2 Vector2Zero(void); // Vector with components value 0.0f
Vector2 Vector2One(void); // Vector with components value 1.0f
Vector2 Vector2Add(Vector2 v1, Vector2 v2); // Add two vectors (v1 + v2)
Vector2 Vector2AddValue(Vector2 v, float add); // Add vector and float value
Vector2 Vector2Subtract(Vector2 v1, Vector2 v2); // Subtract two vectors (v1 - v2)
Vector2 Vector2SubtractValue(Vector2 v, float sub); // Subtract vector by float value
float Vector2Length(Vector2 v); // Calculate vector length
float Vector2LengthSqr(Vector2 v); // Calculate vector square length
float Vector2DotProduct(Vector2 v1, Vector2 v2); // Calculate two vectors dot product
float Vector2Distance(Vector2 v1, Vector2 v2); // Calculate distance between two vectors
float Vector2DistanceSqr(Vector2 v1, Vector2 v2); // Calculate square distance between two vectors
float Vector2Angle(Vector2 v1, Vector2 v2); // Calculate angle from two vectors
Vector2 Vector2Scale(Vector2 v, float scale); // Scale vector (multiply by value)
Vector2 Vector2Multiply(Vector2 v1, Vector2 v2); // Multiply vector by vector
Vector2 Vector2Negate(Vector2 v); // Negate vector
Vector2 Vector2Divide(Vector2 v1, Vector2 v2); // Divide vector by vector
Vector2 Vector2Normalize(Vector2 v); // Normalize provided vector
Vector2 Vector2Transform(Vector2 v, Matrix mat); // Transforms a Vector2 by a given Matrix
Vector2 Vector2Lerp(Vector2 v1, Vector2 v2, float amount); // Calculate linear interpolation between two vectors
Vector2 Vector2Reflect(Vector2 v, Vector2 normal); // Calculate reflected vector to normal
Vector2 Vector2Rotate(Vector2 v, float angle); // Rotate vector by angle
Vector2 Vector2MoveTowards(Vector2 v, Vector2 target, float maxDistance); // Move Vector towards target
Vector2 Vector2Invert(Vector2 v); // Invert the given vector
Vector2 Vector2Clamp(Vector2 v, Vector2 min, Vector2 max); // Clamp the components of the vector between min and max values specified by the given vectors
Vector2 Vector2ClampValue(Vector2 v, float min, float max); // Clamp the magnitude of the vector between two min and max values
int Vector2Equals(Vector2 p, Vector2 q); // Check whether two given vectors are almost equal
// Vector3 math
Vector3 Vector3Zero(void); // Vector with components value 0.0f
Vector3 Vector3One(void); // Vector with components value 1.0f
Vector3 Vector3Add(Vector3 v1, Vector3 v2); // Add two vectors
Vector3 Vector3AddValue(Vector3 v, float add); // Add vector and float value
Vector3 Vector3Subtract(Vector3 v1, Vector3 v2); // Subtract two vectors
Vector3 Vector3SubtractValue(Vector3 v, float sub); // Subtract vector by float value
Vector3 Vector3Scale(Vector3 v, float scalar); // Multiply vector by scalar
Vector3 Vector3Multiply(Vector3 v1, Vector3 v2); // Multiply vector by vector
Vector3 Vector3CrossProduct(Vector3 v1, Vector3 v2); // Calculate two vectors cross product
Vector3 Vector3Perpendicular(Vector3 v); // Calculate one vector perpendicular vector
float Vector3Length(const Vector3 v); // Calculate vector length
float Vector3LengthSqr(const Vector3 v); // Calculate vector square length
float Vector3DotProduct(Vector3 v1, Vector3 v2); // Calculate two vectors dot product
float Vector3Distance(Vector3 v1, Vector3 v2); // Calculate distance between two vectors
float Vector3DistanceSqr(Vector3 v1, Vector3 v2); // Calculate square distance between two vectors
float Vector3Angle(Vector3 v1, Vector3 v2); // Calculate angle between two vectors
Vector3 Vector3Negate(Vector3 v); // Negate provided vector (invert direction)
Vector3 Vector3Divide(Vector3 v1, Vector3 v2); // Divide vector by vector
Vector3 Vector3Normalize(Vector3 v); // Normalize provided vector
void Vector3OrthoNormalize(Vector3 *v1, Vector3 *v2); // Orthonormalize provided vectors Makes vectors normalized and orthogonal to each other Gram-Schmidt function implementation
Vector3 Vector3Transform(Vector3 v, Matrix mat); // Transforms a Vector3 by a given Matrix
Vector3 Vector3RotateByQuaternion(Vector3 v, Quaternion q); // Transform a vector by quaternion rotation
Vector3 Vector3RotateByAxisAngle(Vector3 v, Vector3 axis, float angle); // Rotates a vector around an axis
Vector3 Vector3Lerp(Vector3 v1, Vector3 v2, float amount); // Calculate linear interpolation between two vectors
Vector3 Vector3Reflect(Vector3 v, Vector3 normal); // Calculate reflected vector to normal
Vector3 Vector3Min(Vector3 v1, Vector3 v2); // Get min value for each pair of components
Vector3 Vector3Max(Vector3 v1, Vector3 v2); // Get max value for each pair of components
Vector3 Vector3Barycenter(Vector3 p, Vector3 a, Vector3 b, Vector3 c); // 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
Vector3 Vector3Unproject(Vector3 source, Matrix projection, Matrix view); // Projects a Vector3 from screen space into object space NOTE: We are avoiding calling other raymath functions despite available
float3 Vector3ToFloatV(Vector3 v); // Get Vector3 as float array
Vector3 Vector3Invert(Vector3 v); // Invert the given vector
Vector3 Vector3Clamp(Vector3 v, Vector3 min, Vector3 max); // Clamp the components of the vector between min and max values specified by the given vectors
Vector3 Vector3ClampValue(Vector3 v, float min, float max); // Clamp the magnitude of the vector between two values
int Vector3Equals(Vector3 p, Vector3 q); // Check whether two given vectors are almost equal
Vector3 Vector3Refract(Vector3 v, Vector3 n, float r); // 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
// Matrix math
float MatrixDeterminant(Matrix mat); // Compute matrix determinant
float MatrixTrace(Matrix mat); // Get the trace of the matrix (sum of the values along the diagonal)
Matrix MatrixTranspose(Matrix mat); // Transposes provided matrix
Matrix MatrixInvert(Matrix mat); // Invert provided matrix
Matrix MatrixIdentity(void); // Get identity matrix
Matrix MatrixAdd(Matrix left, Matrix right); // Add two matrices
Matrix MatrixSubtract(Matrix left, Matrix right); // Subtract two matrices (left - right)
Matrix MatrixMultiply(Matrix left, Matrix right); // Get two matrix multiplication NOTE: When multiplying matrices... the order matters!
Matrix MatrixTranslate(float x, float y, float z); // Get translation matrix
Matrix MatrixRotate(Vector3 axis, float angle); // Create rotation matrix from axis and angle NOTE: Angle should be provided in radians
Matrix MatrixRotateX(float angle); // Get x-rotation matrix NOTE: Angle must be provided in radians
Matrix MatrixRotateY(float angle); // Get y-rotation matrix NOTE: Angle must be provided in radians
Matrix MatrixRotateZ(float angle); // Get z-rotation matrix NOTE: Angle must be provided in radians
Matrix MatrixRotateXYZ(Vector3 angle); // Get xyz-rotation matrix NOTE: Angle must be provided in radians
Matrix MatrixRotateZYX(Vector3 angle); // Get zyx-rotation matrix NOTE: Angle must be provided in radians
Matrix MatrixScale(float x, float y, float z); // Get scaling matrix
Matrix MatrixFrustum(double left, double right, double bottom, double top, double near, double far); // Get perspective projection matrix
Matrix MatrixPerspective(double fovy, double aspect, double near, double far); // Get perspective projection matrix NOTE: Fovy angle must be provided in radians
Matrix MatrixOrtho(double left, double right, double bottom, double top, double near, double far); // Get orthographic projection matrix
Matrix MatrixLookAt(Vector3 eye, Vector3 target, Vector3 up); // Get camera look-at matrix (view matrix)
float16 MatrixToFloatV(Matrix mat); // Get float array of matrix data
// Quaternion math
Quaternion QuaternionAdd(Quaternion q1, Quaternion q2); // Add two quaternions
Quaternion QuaternionAddValue(Quaternion q, float add); // Add quaternion and float value
Quaternion QuaternionSubtract(Quaternion q1, Quaternion q2); // Subtract two quaternions
Quaternion QuaternionSubtractValue(Quaternion q, float sub); // Subtract quaternion and float value
Quaternion QuaternionIdentity(void); // Get identity quaternion
float QuaternionLength(Quaternion q); // Computes the length of a quaternion
Quaternion QuaternionNormalize(Quaternion q); // Normalize provided quaternion
Quaternion QuaternionInvert(Quaternion q); // Invert provided quaternion
Quaternion QuaternionMultiply(Quaternion q1, Quaternion q2); // Calculate two quaternion multiplication
Quaternion QuaternionScale(Quaternion q, float mul); // Scale quaternion by float value
Quaternion QuaternionDivide(Quaternion q1, Quaternion q2); // Divide two quaternions
Quaternion QuaternionLerp(Quaternion q1, Quaternion q2, float amount); // Calculate linear interpolation between two quaternions
Quaternion QuaternionNlerp(Quaternion q1, Quaternion q2, float amount); // Calculate slerp-optimized interpolation between two quaternions
Quaternion QuaternionSlerp(Quaternion q1, Quaternion q2, float amount); // Calculates spherical linear interpolation between two quaternions
Quaternion QuaternionFromVector3ToVector3(Vector3 from, Vector3 to); // Calculate quaternion based on the rotation from one vector to another
Quaternion QuaternionFromMatrix(Matrix mat); // Get a quaternion for a given rotation matrix
Matrix QuaternionToMatrix(Quaternion q); // Get a matrix for a given quaternion
Quaternion QuaternionFromAxisAngle(Vector3 axis, float angle); // Get rotation quaternion for an angle and axis NOTE: Angle must be provided in radians
void QuaternionToAxisAngle(Quaternion q, Vector3 *outAxis, float *outAngle); // Get the rotation angle and axis for a given quaternion
Quaternion QuaternionFromEuler(float pitch, float yaw, float roll); // Get the quaternion equivalent to Euler angles NOTE: Rotation order is ZYX
Vector3 QuaternionToEuler(Quaternion q); // Get the Euler angles equivalent to quaternion (roll, pitch, yaw) NOTE: Angles are returned in a Vector3 struct in radians
Quaternion QuaternionTransform(Quaternion q, Matrix mat); // Transform a quaternion given a transformation matrix
int QuaternionEquals(Quaternion p, Quaternion q); // Check whether two given quaternions are almost equal
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