Math Common Functions

float abs( float v )

Arguments

• float v - Float value.

Return value

double abs( double v )

Arguments

• double v - Value.

Return value

int abs( int v )

Arguments

• int v - Value.

Return value

long long abs( long long v )

Arguments

• long long v - Value.

Return value

float bezier( const float * t, const float * v, float time )

Arguments

• const float * t - Coordinates of the four points of the curve along the horizontal T (times) axis in the range [0.0f, 1.0f].
• const float * v - Coordinates of the four points of the curve along the vertical V (values) axis in the range [0.0f, 1.0f].
• float time - Time in the range [0, 1], for which the value of the Bezier function is to be calculated.

Return value

double bezier( const float * t, const double * v, float time )

Arguments

• const float * t - Coordinates of the four points of the curve along the horizontal T (times) axis in the range [0.0f, 1.0f].
• const double * v - Coordinates of the four points of the curve along the vertical V (values) axis in the range [0.0f, 1.0f].
• float time - Time in the range [0, 1], for which the value of the Bezier function is to be calculated.

Return value

float ceil( float v )

float a = ceil(3.141593); // a = 4.0

Arguments

• float v - Argument.

Return value

double ceil( double v )

double a = ceil(3.141593); // a = 4.0

Arguments

• double v - Argument.

Return value

double clamp( double v, double v0, double v1 )

Arguments

• double v - Value to be clamped.
• double v0 - Minimum value.
• double v1 - Maximum value.

Return value

float clamp( float v, float v0, float v1 )

Arguments

• float v - Value to be clamped.
• float v0 - Minimum value.
• float v1 - Maximum value.

Return value

int clamp( int v, int v0, int v1 )

Arguments

• int v - Value to be clamped.
• int v0 - Minimum value.
• int v1 - Maximum value.

Return value

long long clamp( long long v, long long v0, long long v1 )

Arguments

• long long v - Value to be clamped.
• long long v0 - Minimum value.
• long long v1 - Maximum value.

Return value

dvec2 clamp( const dvec2 & v, const dvec2 & v0, const dvec2 & v1 )

Arguments

• const dvec2 & v - Value to be clamped.
• const dvec2 & v0 - Minimum value.
• const dvec2 & v1 - Maximum value.

Return value

ivec2 clamp( const ivec2 & v, const ivec2 & v0, const ivec2 & v1 )

Arguments

• const ivec2 & v - The value.
• const ivec2 & v0 - Minimum value.
• const ivec2 & v1 - Maximum value.

Return value

vec2 clamp( const vec2 & v, const vec2 & v0, const vec2 & v1 )

Arguments

• const vec2 & v - Value to be clamped.
• const vec2 & v0 - Minimum value.
• const vec2 & v1 - Maximum value.

Return value

dvec3 clamp( const dvec3 & v, const dvec3 & v0, const dvec3 & v1 )

Arguments

• const dvec3 & v - Value to be clamped.
• const dvec3 & v0 - Minimum value.
• const dvec3 & v1 - Maximum value.

Return value

ivec3 clamp( const ivec3 & v, const ivec3 & v0, const ivec3 & v1 )

Arguments

• const ivec3 & v - Value to be clamped.
• const ivec3 & v0 - Minimum value.
• const ivec3 & v1 - Maximum value.

Return value

vec3 clamp( const vec3 & v, const vec3 & v0, const vec3 & v1 )

Arguments

• const vec3 & v - Value to be clamped.
• const vec3 & v0 - Minimum value.
• const vec3 & v1 - Maximum value.

Return value

bvec4 clamp( const bvec4 & v, const bvec4 & v0, const bvec4 & v1 )

Arguments

• const bvec4 & v - Value to be clamped.
• const bvec4 & v0 - Minimum value.
• const bvec4 & v1 - Maximum value.

Return value

dvec4 clamp( const dvec4 & v, const dvec4 & v0, const dvec4 & v1 )

Arguments

• const dvec4 & v - Value to be clamped.
• const dvec4 & v0 - Minimum value.
• const dvec4 & v1 - Maximum value.

Return value

ivec4 clamp( const ivec4 & v, const ivec4 & v0, const ivec4 & v1 )

Arguments

• const ivec4 & v - Value to be clamped.
• const ivec4 & v0 - Minimum value.
• const ivec4 & v1 - Maximum value.

Return value

vec4 clamp( const vec4 & v, const vec4 & v0, const vec4 & v1 )

Arguments

• const vec4 & v - Value to be clamped.
• const vec4 & v0 - Minimum value.
• const vec4 & v1 - Maximum value.

Return value

int compare( int v0, int v1 )

Arguments

• int v0 - First int scalar.
• int v1 - Second int scalar.

Return value

int compare( float v0, float v1 )

Arguments

• float v0 - First float scalar.
• float v1 - Second float scalar.

Return value

int compare( double v0, double v1 )

Arguments

• double v0 - First double scalar.
• double v1 - Second double scalar.

Return value

int compare( float v0, float v1, float epsilon )

Arguments

• float v0 - First scalar.
• float v1 - Second scalar.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( double v0, double v1, double epsilon )

Arguments

• double v0 - First scalar.
• double v1 - Second scalar.
• double epsilon - Epsilon (degree of precision).

Return value

int compare( const vec2 & v0, const vec2 & v1 )

Arguments

• const vec2 & v0 - First vector.
• const vec2 & v1 - Second vector.

Return value

int compare( const vec2 & v0, const vec2 & v1, float epsilon )

Arguments

• const vec2 & v0 - First vector.
• const vec2 & v1 - Second vector.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( const dvec2 & v0, const dvec2 & v1 )

Arguments

• const dvec2 & v0 - First vector.
• const dvec2 & v1 - Second vector.

Return value

int compare( const dvec2 & v0, const dvec2 & v1, double epsilon )

Arguments

• const dvec2 & v0 - First vector.
• const dvec2 & v1 - Second vector.
• double epsilon - Epsilon (degree of precision).

Return value

int compare( const vec3 & v0, const vec3 & v1 )

Arguments

• const vec3 & v0 - First vector.
• const vec3 & v1 - Second vector.

Return value

int compare( const vec3 & v0, const vec3 & v1, float epsilon )

Arguments

• const vec3 & v0 - First vector.
• const vec3 & v1 - Second vector.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( const dvec3 & v0, const dvec3 & v1 )

Arguments

• const dvec3 & v0 - First vector.
• const dvec3 & v1 - Second vector.

Return value

int compare( const dvec3 & v0, const dvec3 & v1, double epsilon )

Arguments

• const dvec3 & v0 - First vector.
• const dvec3 & v1 - Second vector.
• double epsilon - Epsilon (degree of precision).

Return value

int compare( const vec4 & v0, const vec4 & v1 )

Arguments

• const vec4 & v0 - First vector.
• const vec4 & v1 - Second vector.

Return value

int compare( const vec4 & v0, const vec4 & v1, float epsilon )

Arguments

• const vec4 & v0 - First vector.
• const vec4 & v1 - Second vector.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( const dvec4 & v0, const dvec4 & v1 )

Arguments

• const dvec4 & v0 - First vector.
• const dvec4 & v1 - Second vector.

Return value

int compare( const dvec4 & v0, const dvec4 & v1, double epsilon )

Arguments

• const dvec4 & v0 - First vector.
• const dvec4 & v1 - Second vector.
• double epsilon - Epsilon (degree of precision).

Return value

int compare( const quat & q0, const quat & q1 )

Arguments

• const quat & q0 - First quaternion.
• const quat & q1 - Second quaternion.

Return value

int compare( const quat & q0, const quat & q1, float epsilon )

Arguments

• const quat & q0 - First quaternion.
• const quat & q1 - Second quaternion.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( const mat2 & m0, const mat2 & m1 )

Arguments

• const mat2 & m0 - First matrix.
• const mat2 & m1 - Second matrix.

Return value

int compare( const mat2 & m0, const mat2 & m1, float epsilon )

Arguments

• const mat2 & m0 - First matrix.
• const mat2 & m1 - Second matrix.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( const mat3 & m0, const mat3 & m1 )

Arguments

• const mat3 & m0 - First matrix.
• const mat3 & m1 - Second matrix.

Return value

int compare( const mat3 & m0, const mat3 & m1, float epsilon )

Arguments

• const mat3 & m0 - First matrix.
• const mat3 & m1 - Second matrix.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( const mat4 & m0, const mat4 & m1 )

Arguments

• const mat4 & m0 - First matrix.
• const mat4 & m1 - Second matrix.

Return value

int compare( const mat4 & m0, const mat4 & m1, float epsilon )

Arguments

• const mat4 & m0 - First matrix.
• const mat4 & m1 - Second matrix.
• float epsilon - Epsilon (degree of precision).

Return value

int compare( const dmat4 & m0, const dmat4 & m1 )

Arguments

• const dmat4 & m0 - First matrix.
• const dmat4 & m1 - Second matrix.

Return value

int compare( const dmat4 & m0, const dmat4 & m1, double epsilon )

Arguments

• const dmat4 & m0 - First matrix.
• const dmat4 & m1 - Second matrix.
• double epsilon - Epsilon (degree of precision).

Return value

quat conjugate( const quat & q )

Arguments

• const quat & q - Quaternion.

Return value

float cross( const vec2 & v0, const vec2 & v1 )

Arguments

• const vec2 & v0 - First vector.
• const vec2 & v1 - Second vector.

Return value

ivec3 cross( const ivec3 & v0, const ivec3 & v1 )

Arguments

• const ivec3 & v0 - First vector.
• const ivec3 & v1 - Second vector.

Return value

dvec3 cross( const dvec3 & v0, const dvec3 & v1 )

Arguments

• const dvec3 & v0 - First vector.
• const dvec3 & v1 - Second vector.

Return value

vec3 cross( const vec3 & v0, const vec3 & v1 )

Arguments

• const vec3 & v0 - First vector.
• const vec3 & v1 - Second vector.

Return value

ivec3 & cross( ivec3 & ret, const ivec3 & v0, const ivec3 & v1 )

Arguments

• ivec3 & ret - Output vector, to which the resulting vector will be put.
• const ivec3 & v0 - First vector.
• const ivec3 & v1 - Second vector.

Return value

vec3 & cross( vec3 & ret, const vec3 & v0, const vec3 & v1 )

Arguments

• vec3 & ret - Output vector, to which the resulting vector will be put.
• const vec3 & v0 - First vector.
• const vec3 & v1 - Second vector.

Return value

vec4 & cross( vec4 & ret, const vec3 & v0, const vec3 & v1 )

Arguments

• vec4 & ret - Output vector, to which the resulting vector will be put.
• const vec3 & v0 - First vector.
• const vec3 & v1 - Second vector.

Return value

dvec3 & cross( dvec3 & ret, const dvec3 & v0, const dvec3 & v1 )

Arguments

• dvec3 & ret - Output vector, to which the resulting vector will be put.
• const dvec3 & v0 - First vector.
• const dvec3 & v1 - Second vector.

Return value

dvec4 & cross( dvec4 & ret, const dvec3 & v0, const dvec3 & v1 )

Arguments

• dvec4 & ret - Output vector, to which the resulting vector will be put.
• const dvec3 & v0 - First vector.
• const dvec3 & v1 - Second vector.

Return value

double dot( const dvec2 & v0, const dvec2 & v1 )

Arguments

• const dvec2 & v0 - First vector.
• const dvec2 & v1 - Second vector.

Return value

float dot( const vec3 & v0, const vec4 & v1 )

Arguments

• const vec3 & v0 - First vector.
• const vec4 & v1 - Second vector.

Return value

float dot( const vec4 & v0, const vec3 & v1 )

Arguments

• const vec4 & v0 - First vector.
• const vec3 & v1 - Second vector.

Return value

float dot( const vec4 & v0, const vec4 & v1 )

Arguments

• const vec4 & v0 - First vector.
• const vec4 & v1 - Second vector.

Return value

float dot( const vec3 & v0, const vec3 & v1 )

Arguments

• const vec3 & v0 - First vector.
• const vec3 & v1 - Second vector.

Return value

float dot( const vec2 & v0, const vec2 & v1 )

Arguments

• const vec2 & v0 - First vector.
• const vec2 & v1 - Second vector.

Return value

int dot( const ivec3 & v0, const ivec3 & v1 )

Arguments

• const ivec3 & v0 - First vector.
• const ivec3 & v1 - Second vector.

Return value

int dot( const ivec2 & v0, const ivec2 & v1 )

Arguments

• const ivec2 & v0 - First vector.
• const ivec2 & v1 - Second vector.

Return value

int dot( const ivec4 & v0, const ivec3 & v1 )

Arguments

• const ivec4 & v0 - First vector.
• const ivec3 & v1 - Second vector.

Return value

int dot( const ivec4 & v0, const ivec4 & v1 )

Arguments

• const ivec4 & v0 - First vector.
• const ivec4 & v1 - Second vector.

Return value

double dot( const dvec3 & v0, const dvec3 & v1 )

Arguments

• const dvec3 & v0 - First vector.
• const dvec3 & v1 - Second vector.

Return value

double dot( const dvec3 & v0, const dvec4 & v1 )

Arguments

• const dvec3 & v0 - First vector.
• const dvec4 & v1 - Second vector.

Return value

double dot( const dvec4 & v0, const dvec3 & v1 )

Arguments

• const dvec4 & v0 - First vector.
• const dvec3 & v1 - Second vector.

Return value

double dot( const dvec4 & v0, const dvec4 & v1 )

Arguments

• const dvec4 & v0 - First vector.
• const dvec4 & v1 - Second vector.

Return value

double dot3( const dvec3 & v0, const dvec4 & v1 )

float a = dot3(vec3(1, 2, 3), vec4(1, 2, 3, 4));
double b = dot3(dvec4(1, 2, 3, 4), dvec4(1, 2, 3, 4));
/*
result is:
a = 14.000000
b = 14.000000
*/

Arguments

• const dvec3 & v0 - First vector.
• const dvec4 & v1 - Second vector.

Return value

double dot3( const dvec4 & v0, const dvec3 & v1 )

float a = dot3(vec3(1, 2, 3), vec4(1, 2, 3, 4));
double b = dot3(dvec4(1, 2, 3, 4), dvec4(1, 2, 3, 4));
/*
result is:
a = 14.000000
b = 14.000000
*/

Arguments

• const dvec4 & v0 - First vector.
• const dvec3 & v1 - Second vector.

Return value

double dot3( const dvec4 & v0, const dvec4 & v1 )

float a = dot3(vec3(1, 2, 3), vec4(1, 2, 3, 4));
double b = dot3(dvec4(1, 2, 3, 4), dvec4(1, 2, 3, 4));
/*
result is:
a = 14.000000
b = 14.000000
*/

Arguments

• const dvec4 & v0 - First vector.
• const dvec4 & v1 - Second vector.

Return value

float dot3( const vec3 & v0, const vec4 & v1 )

float a = dot3(vec3(1, 2, 3), vec4(1, 2, 3, 4));
double b = dot3(dvec4(1, 2, 3, 4), dvec4(1, 2, 3, 4));
/*
result is:
a = 14.000000
b = 14.000000
*/

Arguments

• const vec3 & v0 - First vector.
• const vec4 & v1 - Second vector.

Return value

float dot3( const vec4 & v0, const vec3 & v1 )

float a = dot3(vec3(1, 2, 3), vec4(1, 2, 3, 4));
double b = dot3(dvec4(1, 2, 3, 4), dvec4(1, 2, 3, 4));
/*
result is:
a = 14.000000
b = 14.000000
*/

Arguments

• const vec4 & v0 - First vector.
• const vec3 & v1 - Second vector.

Return value

float dot3( const vec4 & v0, const vec4 & v1 )

float a = dot3(vec3(1, 2, 3), vec4(1, 2, 3, 4));
double b = dot3(dvec4(1, 2, 3, 4), dvec4(1, 2, 3, 4));
/*
result is:
a = 14.000000
b = 14.000000
*/

Arguments

• const vec4 & v0 - First vector.
• const vec4 & v1 - Second vector.

Return value

int dtoi( double v )

Arguments

• double v - Double value.

Return value

long long dtol( double v )

Arguments

• double v - Double value.

Return value

double floor( double v )

float a = floor(2.3) // a = 2.0

Arguments

• double v - Argument.

Return value

float floor( float v )

double a = floor(2.3) // a = 2.0

Arguments

• float v - Argument.

Return value

float frac( float v )

float a = frac(3.141593); // a = 0.141593

Arguments

• float v - Argument.

Return value

double frac( double v )

double a = frac(3.141593); // a = 0.141593

Arguments

• double v - Argument.

Return value

int ftoi( float v )

Arguments

• float v - Float value.

Return value

long long ftol( float v )

Arguments

• float v - Float value.

Return value

float getAngle( const quat & q0, const quat & q1 )

Arguments

• const quat & q0 - First quaternion (from which the angular difference is measured).
• const quat & q1 - Second quaternion (to which the angular difference is measured).

Return value

float getAngle( const vec3 & v0, const vec3 & v1 )

Arguments

• const vec3 & v0 - First vector (from which the angular difference is measured).
• const vec3 & v1 - Second vector (to which the angular difference is measured).

Return value

float getAngle( const vec3 & v0, const vec3 & v1, const vec3 & up )

Arguments

• const vec3 & v0 - First vector (from which the angular difference is measured).
• const vec3 & v1 - Second vector (to which the angular difference is measured).
• const vec3 & up - Up vector, around which the other two vectors are rotated.

Return value

float gradient4( float x, const vec4 & gradient )

smoothstep(gradient.x, gradient.y, x) - smoothstep(gradient.z, gradient.w, x);

Arguments

• float x - Argument.
• const vec4 & gradient - Vector with four key components.

Return value

double itod( int v )

Arguments

• int v - Integer value.

Return value

float itof( int v )

Arguments

• int v - Integer value.

Return value

Scalar itos( int v )

Arguments

• int v - Integer value.

Return value

float length( const vec2 & v )

Arguments

• const vec2 & v - Vector.

Return value

double length( const dvec2 & v )

Arguments

• const dvec2 & v - Vector.

Return value

float length( const vec3 & v )

Arguments

• const vec3 & v - Vector.

Return value

double length( const dvec3 & v )

Arguments

• const dvec3 & v - Vector.

Return value

float length( const vec4 & v )

Arguments

• const vec4 & v - Vector.

Return value

double length( const dvec4 & v )

Arguments

• const dvec4 & v - Vector.

Return value

float length2( const vec2 & v )

Arguments

• const vec2 & v - Vector.

Return value

double length2( const dvec2 & v )

Arguments

• const dvec2 & v - Vector.

Return value

int length2( const ivec2 & v )

Arguments

• const ivec2 & v - Vector.

Return value

float length2( const vec3 & v )

Arguments

• const vec3 & v - Vector.

Return value

double length2( const dvec3 & v )

Arguments

• const dvec3 & v - Vector.

Return value

int length2( const ivec3 & v )

Arguments

• const ivec3 & v - Vector.

Return value

float length2( const vec4 & v )

Arguments

• const vec4 & v - Vector.

Return value

double length2( const dvec4 & v )

Arguments

• const dvec4 & v - Vector.

Return value

int length2( const ivec4 & v )

Arguments

• const ivec4 & v - Vector.

Return value

float lerp( float v0, float v1, float k )

Arguments

• float v0 - First float value.
• float v1 - Second float value.
• float k - Interpolation coefficient.

Return value

double lerp( double v0, double v1, double k )

Arguments

• double v0 - First double value.
• double v1 - Second double value.
• double k - Interpolation coefficient.

Return value

int lerp( int v0, int v1, int k )

Arguments

• int v0 - First int value.
• int v1 - Second int value.
• int k - Interpolation coefficient.

Return value

vec2 lerp( const vec2 & v0, const vec2 & v1, float k )

Arguments

• const vec2 & v0 - First vector.
• const vec2 & v1 - Second vector.
• float k - Interpolation coefficient.

Return value

vec3 lerp( const vec3 & v0, const vec3 & v1, float k )

Arguments

• const vec3 & v0 - First vector.
• const vec3 & v1 - Second vector.
• float k - Interpolation coefficient.

Return value

vec4 lerp( const vec4 & v0, const vec4 & v1, float k )

Arguments

• const vec4 & v0 - First vector.
• const vec4 & v1 - Second vector.
• float k - Interpolation coefficient.

Return value

dvec2 lerp( const dvec2 & v0, const dvec2 & v1, double k )

Arguments

• const dvec2 & v0 - First vector.
• const dvec2 & v1 - Second vector.
• double k - Interpolation coefficient.

Return value

dvec3 lerp( const dvec3 & v0, const dvec3 & v1, double k )

Arguments

• const dvec3 & v0 - First vector.
• const dvec3 & v1 - Second vector.
• double k - Interpolation coefficient.

Return value

dvec4 lerp( const dvec4 & v0, const dvec4 & v1, double k )

Arguments

• const dvec4 & v0 - First vector.
• const dvec4 & v1 - Second vector.
• double k - Interpolation coefficient.

Return value

ivec2 lerp( const ivec2 & v0, const ivec2 & v1, int k )

Arguments

• const ivec2 & v0 - First vector.
• const ivec2 & v1 - Second vector.
• int k - Interpolation coefficient.

Return value

ivec3 lerp( const ivec3 & v0, const ivec3 & v1, int k )

Arguments

• const ivec3 & v0 - First vector.
• const ivec3 & v1 - Second vector.
• int k - Interpolation coefficient.

Return value

ivec4 lerp( const ivec4 & v0, const ivec4 & v1, int k )

Arguments

• const ivec4 & v0 - First vector.
• const ivec4 & v1 - Second vector.
• int k - Interpolation coefficient.

Return value

Type lerp( Type v0, Type v1, Type k )

Arguments

• Type v0 - First value.
• Type v1 - Second value.
• Type k - Interpolation coefficient.

Return value

float ltof( long long v )

Arguments

• long long v - Long value.

Return value

double ltod( long long v )

Arguments

• long long v - Long value.

Return value

float max( float v0, float v1 )

Arguments

• float v0 - First value.
• float v1 - Second value.

Return value

double max( double v0, double v1 )

Arguments

• double v0 - First value.
• double v1 - Second value.

Return value

int max( int v0, int v1 )

Arguments

• int v0 - First value.
• int v1 - Second value.

Return value

long long max( long long v0, long long v1 )

Arguments

• long long v0 - First value.
• long long v1 - Second value.

Return value

vec2 max( const vec2 & v0, const vec2 & v1 )

Arguments

• const vec2 & v0 - First value.
• const vec2 & v1 - Second value.

Return value

vec3 max( const vec3 & v0, const vec3 & v1 )

Arguments

• const vec3 & v0 - First value.
• const vec3 & v1 - Second value.

Return value

vec4 max( const vec4 & v0, const vec4 & v1 )

Arguments

• const vec4 & v0 - First value.
• const vec4 & v1 - Second value.

Return value

dvec2 max( const dvec2 & v0, const dvec2 & v1 )

Arguments

• const dvec2 & v0 - First value.
• const dvec2 & v1 - Second value.

Return value

dvec3 max( const dvec3 & v0, const dvec3 & v1 )

Arguments

• const dvec3 & v0 - First value.
• const dvec3 & v1 - Second value.

Return value

dvec4 max( const dvec4 & v0, const dvec4 & v1 )

Arguments

• const dvec4 & v0 - First value.
• const dvec4 & v1 - Second value.

Return value

ivec2 max( const ivec2 & v0, const ivec2 & v1 )

Arguments

• const ivec2 & v0 - First value.
• const ivec2 & v1 - Second value.

Return value

ivec3 max( const ivec3 & v0, const ivec3 & v1 )

Arguments

• const ivec3 & v0 - First value.
• const ivec3 & v1 - Second value.

Return value

ivec4 max( const ivec4 & v0, const ivec4 & v1 )

Arguments

• const ivec4 & v0 - First value.
• const ivec4 & v1 - Second value.

Return value

bvec4 max( const bvec4 & v0, const bvec4 & v1 )

Arguments

• const bvec4 & v0 - First value.
• const bvec4 & v1 - Second value.

Return value

Type max( Type v0, Type v1 )

Arguments

• Type v0 - First value.
• Type v1 - Second value.

Return value

float min( float v0, float v1 )

Arguments

• float v0 - First value.
• float v1 - Second value.

Return value

double min( double v0, double v1 )

Arguments

• double v0 - First value.
• double v1 - Second value.

Return value

int min( int v0, int v1 )

Arguments

• int v0 - First value.
• int v1 - Second value.

Return value

long long min( long long v0, long long v1 )

Arguments

• long long v0 - First value.
• long long v1 - Second value.

Return value

vec2 min( const vec2 & v0, const vec2 & v1 )

Arguments

• const vec2 & v0 - First value.
• const vec2 & v1 - Second value.

Return value

vec3 min( const vec3 & v0, const vec3 & v1 )

Arguments

• const vec3 & v0 - First value.
• const vec3 & v1 - Second value.

Return value

vec4 min( const vec4 & v0, const vec4 & v1 )

Arguments

• const vec4 & v0 - First value.
• const vec4 & v1 - Second value.

Return value

dvec2 min( const dvec2 & v0, const dvec2 & v1 )

Arguments

• const dvec2 & v0 - First value.
• const dvec2 & v1 - Second value.

Return value

dvec3 min( const dvec3 & v0, const dvec3 & v1 )

Arguments

• const dvec3 & v0 - First value.
• const dvec3 & v1 - Second value.

Return value

dvec4 min( const dvec4 & v0, const dvec4 & v1 )

Arguments

• const dvec4 & v0 - First value.
• const dvec4 & v1 - Second value.

Return value

ivec2 min( const ivec2 & v0, const ivec2 & v1 )

Arguments

• const ivec2 & v0 - First value.
• const ivec2 & v1 - Second value.

Return value

ivec3 min( const ivec3 & v0, const ivec3 & v1 )

Arguments

• const ivec3 & v0 - First value.
• const ivec3 & v1 - Second value.

Return value

ivec4 min( const ivec4 & v0, const ivec4 & v1 )

Arguments

• const ivec4 & v0 - First value.
• const ivec4 & v1 - Second value.

Return value

bvec4 min( const bvec4 & v0, const bvec4 & v1 )

Arguments

• const bvec4 & v0 - First value.
• const bvec4 & v1 - Second value.

Return value

Type min( Type v0, Type v1 )

Arguments

• Type v0 - First value.
• Type v1 - Second value.

Return value

int npot( int arg )

Arguments

• int arg - Argument.

Return value

float rcp( float v )

Arguments

• float v - Argument.

Return value

double rcp( double v )

Arguments

• double v - Argument.

Return value

double round( double v )

double a = round(2.3)  					// a = 2.0
double b = round(5.5)  					// b = 6.0
double c = round(-5.5) 					// c = -6.0

Arguments

• double v - Argument.

Return value

float round( float v )

float a = round(2.3)  					// a = 2.0
float b = round(5.5)  					// b = 6.0
float c = round(-5.5) 					// c = -6.0

Arguments

• float v - Argument.

Return value

float saturate( float v )

Arguments

• float v - Argument.

Return value

double saturate( double v )

Arguments

• double v - Argument.

Return value

dvec2 saturate( const dvec2 & v )

Arguments

• const dvec2 & v

vec2 saturate( const vec2 & v )

Arguments

• const vec2 & v - Vector.

Return value

dvec3 saturate( const dvec3 & v )

Arguments

• const dvec3 & v - Vector.

Return value

vec3 saturate( const vec3 & v )

Arguments

• const vec3 & v - Vector.

Return value

dvec4 saturate( const dvec4 & v )

Arguments

• const dvec4 & v - Vector.

Return value

vec4 saturate( const vec4 & v )

Arguments

• const vec4 & v - Vector.

Return value

float sign( float v )

Arguments

• float v - Argument.

Return value

double sign( double v )

Arguments

• double v - Argument.

Return value

int stoi( Scalar v )

Arguments

• Scalar v - Scalar value (float or double, depending on the precision).

Return value

float smoothstep( float x )

Returns a smooth Hermite interpolation between 0 and 1, if x is in the range [0, 1].

It is convenient for creating a sequence of transitions using smoothstep to interpolate each segment as an alternative to using more sophisticated or expensive interpolation techniques.

Arguments

• float x - Value to be interpolated.

Return value

• 0 if x is less than 0;
• 1 if x is greater than 1;
• interpolated value between 0 and 1 if x is in the range [0, 1].