OpenGL ES 2.0 / GLSL 1.0
Built-In Functions
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Angle & Trigonometry Functions [8.1]
Component-wise operation. Parameters specified as angle are assumed to be in units of radians. T is float, vec2, vec3, vec4.
T radians(T degrees) degrees to radians
T radians(T degrees) degrees to radians
| T degrees(T radians) | radians to degrees |
| T sin(T angle) | sine |
| T cos(T angle) | cosine |
| T tan(T angle) | tangent |
| T asin(T x) | arc sine |
| T acos(T x) | arc cosine |
| T atan(T y, T x) T atan(T y_over_x) |
arc tangent |
Exponential Functions [8.2]
Component-wise operation. T is float, vec2, vec3, vec4.
| T pow(T x, T y) | xy |
| T exp(T x) | ex |
| T log(T x) | ln |
| T exp2(T x) | 2x |
| T log2(T x) | log2 |
| T sqrt(T x) | square root |
| T inversesqrt(T x) | inverse square root |
Common Functions [8.3]
Component-wise operation. T is float, vec2, vec3, vec4.
|T abs(T x)|absolute value
|T sign(T x)|returns -1.0, 0.0, or 1.0
|T floor(T x)|nearest integer <= x
|T ceil(T x)|nearest integer >= x
|T abs(T x)|absolute value
|T sign(T x)|returns -1.0, 0.0, or 1.0
|T floor(T x)|nearest integer <= x
|T ceil(T x)|nearest integer >= x
| T fract(T x) | x - floor(x) |
| T mod(T x, T y) T mod(T x, float y) |
modulus |
| T min(T x, T y) T min(T x, float y) |
minimum value |
| T max(T x, T y) T max(T x, float y) |
maximum value |
| T clamp(T x, T minVal, T maxVal) T clamp(T x, float minVal, float maxVal) |
min(max(x, minVal), maxVal) |
| T mix(T x, T y, T a) T mix(T x, T y, float a) |
linear blend of x and y |
| T step(T edge, T x) T step(float edge, T x) |
0.0 if x < edge, else 1.0 |
| T smoothstep(T edge0, T edge1, T x) T smoothstep(float edge0, float edge1, T x) |
clip and smooth |
Geometric Functions [8.4]
These functions operate on vectors as vectors, not component-wise. T is float, vec2, vec3, vec4.
| float length(T x) | length of vector |
| float distance(T p0, T p1) | distance between points |
| float dot(T x, T y) | dot product |
| vec3 cross(vec3 x, vec3 y) | cross product |
| T normalize(T x) | normalize vector to length 1 |
| T faceforward(T N, T I, T Nref) | returns N if dot(Nref, I) < 0, else -N |
| T reflect(T I, T N) | reflection direction I - 2 * dot(N,I) * N |
| T refract(T I, T N, float eta) | refraction vector |
Matrix Functions [8.5]
Type mat is any matrix type.
| mat matrixCompMult(mat x, mat y) | multiply x by y component-wise |
Vector Relational Functions [8.6]
Compare x and y component-wise. Sizes of input and return vectors for a particular call must match. Type bvec is bvecn; vec is vecn; ivec is ivecn (where n is 2, 3, or 4). T is the union of vec and ivec.
| bvec lessThan(T x, T y) | x < y |
| bvec lessThanEqual(T x, T y) | x <= y |
| bvec greaterThan(T x, T y) | x > y |
| bvec greaterThanEqual(T x, T y) | x >= y |
| bvec equal(T x, T y) bvec equal(bvec x, bvec y) |
x == y |
| bvec notEqual(T x, T y) bvec notEqual(bvec x, bvec y) |
x!= y |
| bool any(bvec x) | true if any component of x is true |
| bool all(bvec x) | true if all components of x are true |
| bvec not(bvec x) | logical complement of x |
Texture Lookup Functions [8.7]
Available only in vertex shaders.
| vec4 texture2DLod(sampler2D sampler, vec2 coord, float lod) |
| vec4 texture2DProjLod(sampler2D sampler, vec3 coord, float lod) |
| vec4 texture2DProjLod(sampler2D sampler, vec4 coord, float lod) |
| vec4 textureCubeLod(samplerCube sampler, vec3 coord, float lod) |
Available only in fragment shaders.
| vec4 texture2D(sampler2D sampler, vec2 coord, float bias) |
| vec4 texture2DProj(sampler2D sampler, vec3 coord, float bias) |
| vec4 texture2DProj(sampler2D sampler, vec4 coord, float bias) |
| vec4 textureCube(samplerCube sampler, vec3 coord, float bias) |
Available in vertex and fragment shaders.
| vec4 texture2D(sampler2D sampler, vec2 coord) |
| vec4 texture2DProj(sampler2D sampler, vec3 coord) |
| vec4 texture2DProj(sampler2D sampler, vec4 coord) |
| vec4 textureCube(samplerCube sampler, vec3 coord) |
