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@@ -813,258 +813,296 @@ is used, it can be scalar or vector.
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backend, please see the :ref:`Differences between GLES2 and GLES3 doc
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<doc_gles2_gles3_differences>`.
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| Function | Description / Return value |
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-+=======================================================================================+=====================================================================+
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-| vec_type **radians** (vec_type degrees) | Convert degrees to radians |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **degrees** (vec_type radians) | Convert radians to degrees |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **sin** (vec_type x) | Sine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **cos** (vec_type x) | Cosine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **tan** (vec_type x) | Tangent |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **asin** (vec_type x) | Arcsine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **acos** (vec_type x) | Arccosine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **atan** (vec_type y_over_x) | Arctangent |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **atan** (vec_type y, vec_type x) | Arctangent to convert vector to angle |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **sinh** (vec_type x) | Hyperbolic sine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **cosh** (vec_type x) | Hyperbolic cosine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **tanh** (vec_type x) | Hyperbolic tangent |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **asinh** (vec_type x) | Inverse hyperbolic sine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **acosh** (vec_type x) | Inverse hyperbolic cosine |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **atanh** (vec_type x) | Inverse hyperbolic tangent |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **pow** (vec_type x, vec_type y) | Power (undefined if ``x`` < 0 or if ``x`` = 0 and ``y`` <= 0) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **exp** (vec_type x) | Base-e exponential |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **exp2** (vec_type x) | Base-2 exponential |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **log** (vec_type x) | Natural logarithm |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **log2** (vec_type x) | Base-2 logarithm |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **sqrt** (vec_type x) | Square root |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **inversesqrt** (vec_type x) | Inverse square root |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **abs** (vec_type x) | Absolute value (returns positive value if negative) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **abs** (ivec_type x) | Absolute value (returns positive value if negative) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **sign** (vec_type x) | Sign (returns ``1.0`` if positive, ``-1.0`` if negative, |
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-| | ``0.0`` if zero) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **sign** (ivec_type x) | Sign (returns ``1`` if positive, ``-1`` if negative, |
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-| | ``0`` if zero) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **floor** (vec_type x) | Round to the integer below |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **round** (vec_type x) | Round to the nearest integer |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **roundEven** (vec_type x) | Round to the nearest even integer |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **trunc** (vec_type x) | Truncation |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **ceil** (vec_type x) | Round to the integer above |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **fract** (vec_type x) | Fractional (returns ``x - floor(x)``) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **mod** (vec_type x, vec_type y) | Modulo (division remainder) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **mod** (vec_type x, float y) | Modulo (division remainder) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **modf** (vec_type x, out vec_type i) | Fractional of ``x``, with ``i`` as integer part |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **min** (vec_type a, vec_type b) | Lowest value between ``a`` and ``b`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **max** (vec_type a, vec_type b) | Highest value between ``a`` and ``b`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **clamp** (vec_type x, vec_type min, vec_type max) | Clamp ``x`` between ``min`` and ``max`` (inclusive) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| float **mix** (float a, float b, float c) | Linear interpolate between ``a`` and ``b`` by ``c`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **mix** (vec_type a, vec_type b, float c) | Linear interpolate between ``a`` and ``b`` by ``c`` |
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-| | (scalar coefficient) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **mix** (vec_type a, vec_type b, vec_type c) | Linear interpolate between ``a`` and ``b`` by ``c`` |
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-| | (vector coefficient) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **mix** (vec_type a, vec_type b, bvec_type c) | Linear interpolate between ``a`` and ``b`` by ``c`` |
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-| | (boolean-vector selection) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **fma** (vec_type a, vec_type b, vec_type c) | Performs a fused multiply-add operation: ``(a * b + c)`` |
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-| | (faster than doing it manually) |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **step** (vec_type a, vec_type b) | ``b[i] < a[i] ? 0.0 : 1.0`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **step** (float a, vec_type b) | ``b[i] < a ? 0.0 : 1.0`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **smoothstep** (vec_type a, vec_type b, vec_type c) | Hermite interpolate between ``a`` and ``b`` by ``c`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **smoothstep** (float a, float b, vec_type c) | Hermite interpolate between ``a`` and ``b`` by ``c`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **isnan** (vec_type x) | Returns ``true`` if scalar or vector component is ``NaN`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **isinf** (vec_type x) | Returns ``true`` if scalar or vector component is ``INF`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **floatBitsToInt** (vec_type x) | Float->Int bit copying, no conversion |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uvec_type **floatBitsToUint** (vec_type x) | Float->UInt bit copying, no conversion |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **intBitsToFloat** (ivec_type x) | Int->Float bit copying, no conversion |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **uintBitsToFloat** (uvec_type x) | UInt->Float bit copying, no conversion |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| float **length** (vec_type x) | Vector length |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| float **distance** (vec_type a, vec_type b) | Distance between vectors i.e ``length(a - b)`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| float **dot** (vec_type a, vec_type b) | Dot product |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec3 **cross** (vec3 a, vec3 b) | Cross product |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **normalize** (vec_type x) | Normalize to unit length |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec3 **reflect** (vec3 I, vec3 N) | Reflect |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec3 **refract** (vec3 I, vec3 N, float eta) | Refract |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **faceforward** (vec_type N, vec_type I, vec_type Nref) | If ``dot(Nref, I)`` < 0, return N, otherwise –N |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| mat_type **matrixCompMult** (mat_type x, mat_type y) | Matrix component multiplication |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| mat_type **outerProduct** (vec_type column, vec_type row) | Matrix outer product |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| mat_type **transpose** (mat_type m) | Transpose matrix |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| float **determinant** (mat_type m) | Matrix determinant |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| mat_type **inverse** (mat_type m) | Inverse matrix |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **lessThan** (vec_type x, vec_type y) | Bool vector comparison on < int/uint/float vectors |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **greaterThan** (vec_type x, vec_type y) | Bool vector comparison on > int/uint/float vectors |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **lessThanEqual** (vec_type x, vec_type y) | Bool vector comparison on <= int/uint/float vectors |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **greaterThanEqual** (vec_type x, vec_type y) | Bool vector comparison on >= int/uint/float vectors |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **equal** (vec_type x, vec_type y) | Bool vector comparison on == int/uint/float vectors |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **notEqual** (vec_type x, vec_type y) | Bool vector comparison on != int/uint/float vectors |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bool **any** (bvec_type x) | ``true`` if any component is ``true``, ``false`` otherwise |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bool **all** (bvec_type x) | ``true`` if all components are ``true``, ``false`` otherwise |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| bvec_type **not** (bvec_type x) | Invert boolean vector |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec2 **textureSize** (sampler2D_type s, int lod) | Get the size of a 2D texture |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec3 **textureSize** (sampler2DArray_type s, int lod) | Get the size of a 2D texture array |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec3 **textureSize** (sampler3D s, int lod) | Get the size of a 3D texture |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec2 **textureSize** (samplerCube s, int lod) | Get the size of a cubemap texture |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **texture** (sampler2D_type s, vec2 uv [, float bias]) | Perform a 2D texture read |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **texture** (sampler2DArray_type s, vec3 uv [, float bias]) | Perform a 2D texture array read |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **texture** (sampler3D_type s, vec3 uv [, float bias]) | Perform a 3D texture read |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4 **texture** (samplerCube s, vec3 uv [, float bias]) | Perform a cubemap texture read |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureProj** (sampler2D_type s, vec3 uv [, float bias]) | Perform a 2D texture read with projection |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureProj** (sampler2D_type s, vec4 uv [, float bias]) | Perform a 2D texture read with projection |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureProj** (sampler3D_type s, vec4 uv [, float bias]) | Perform a 3D texture read with projection |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureLod** (sampler2D_type s, vec2 uv, float lod) | Perform a 2D texture read at custom mipmap |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureLod** (sampler2DArray_type s, vec3 uv, float lod) | Perform a 2D texture array read at custom mipmap |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureLod** (sampler3D_type s, vec3 uv, float lod) | Perform a 3D texture read at custom mipmap |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4 **textureLod** (samplerCube s, vec3 uv, float lod) | Perform a 3D texture read at custom mipmap |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureProjLod** (sampler2D_type s, vec3 uv, float lod) | Perform a 2D texture read with projection/LOD |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureProjLod** (sampler2D_type s, vec4 uv, float lod) | Perform a 2D texture read with projection/LOD |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **textureProjLod** (sampler3D_type s, vec4 uv, float lod) | Perform a 3D texture read with projection/LOD |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **texelFetch** (sampler2D_type s, ivec2 uv, int lod) | Fetch a single texel using integer coordinates |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **texelFetch** (sampler2DArray_type s, ivec3 uv, int lod) | Fetch a single texel using integer coordinates |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec4_type **texelFetch** (sampler3D_type s, ivec3 uv, int lod) | Fetch a single texel using integer coordinates |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **dFdx** (vec_type p) | Derivative in ``x`` using local differencing |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **dFdy** (vec_type p) | Derivative in ``y`` using local differencing |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| vec_type **fwidth** (vec_type p) | Sum of absolute derivative in ``x`` and ``y`` |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uint **packHalf2x16** (vec2 v) | Convert two 32-bit floating-point numbers into 16-bit |
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-| | and pack them into a 32-bit unsigned integer and vice-versa. |
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-| vec2 **unpackHalf2x16** (uint v) | |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uint **packUnorm2x16** (vec2 v) | Convert two 32-bit floating-point numbers (clamped |
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-| | within 0..1 range) into 16-bit and pack them |
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-| vec2 **unpackUnorm2x16** (uint v) | into a 32-bit unsigned integer and vice-versa. |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uint **packSnorm2x16** (vec2 v) | Convert two 32-bit floating-point numbers (clamped |
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-| | within -1..1 range) into 16-bit and pack them |
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-| vec2 **unpackSnorm2x16** (uint v) | into a 32-bit unsigned integer and vice-versa. |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uint **packUnorm4x8** (vec4 v) | Convert four 32-bit floating-point numbers (clamped |
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-| | within 0..1 range) into 8-bit and pack them |
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-| vec4 **unpackUnorm4x8** (uint v) | into a 32-bit unsigned integer and vice-versa. |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uint **packSnorm4x8** (vec4 v) | Convert four 32-bit floating-point numbers (clamped |
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-| | within -1..1 range) into 8-bit and pack them |
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-| vec4 **unpackSnorm4x8** (uint v) | into a 32-bit unsigned integer and vice-versa. |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **bitfieldExtract** (ivec_type value, int offset, int bits) | Extracts a range of bits from an integer. |
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-| | |
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-| uvec_type **bitfieldExtract** (uvec_type value, int offset, int bits) | |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **bitfieldInsert** (ivec_type base, ivec_type insert, int offset, int bits) | Insert a range of bits into an integer. |
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-| | |
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-| uvec_type **bitfieldInsert** (uvec_type base, uvec_type insert, int offset, int bits) | |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **bitfieldReverse** (ivec_type value) | Reverse the order of bits in an integer. |
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-| | |
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-| uvec_type **bitfieldReverse** (uvec_type value) | |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **bitCount** (ivec_type value) | Counts the number of 1 bits in an integer. |
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-| | |
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-| uvec_type **bitCount** (uvec_type value) | |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **findLSB** (ivec_type value) | Find the index of the least significant bit set to 1 in an integer. |
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-| | |
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-| uvec_type **findLSB** (uvec_type value) | |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| ivec_type **findMSB** (ivec_type value) | Find the index of the most significant bit set to 1 in an integer. |
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-| | |
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-| uvec_type **findMSB** (uvec_type value) | |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uvec_type **uaddCarry** (uvec_type x, uvec_type y, out uvec_type carry) | Add unsigned integers and generate carry. |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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-| uvec_type **usubBorrow** (uvec_type x, uvec_type y, out uvec_type borrow) | Subtract unsigned integers and generate borrow. |
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-+---------------------------------------------------------------------------------------+---------------------------------------------------------------------+
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| Function | Description / Return value |
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++===========================================================================+=====================================================================+
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+| vec_type **radians** (vec_type degrees) | Convert degrees to radians. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **degrees** (vec_type radians) | Convert radians to degrees. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **sin** (vec_type x) | Sine. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **cos** (vec_type x) | Cosine. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **tan** (vec_type x) | Tangent. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **asin** (vec_type x) | Arcsine. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **acos** (vec_type x) | Arccosine. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **atan** (vec_type y_over_x) | Arctangent. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
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+| vec_type **atan** (vec_type y, vec_type x) | Arctangent to convert vector to angle. |
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++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **sinh** (vec_type x) | Hyperbolic sine. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **cosh** (vec_type x) | Hyperbolic cosine. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **tanh** (vec_type x) | Hyperbolic tangent. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **asinh** (vec_type x) | Inverse hyperbolic sine. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **acosh** (vec_type x) | Inverse hyperbolic cosine. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **atanh** (vec_type x) | Inverse hyperbolic tangent. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **pow** (vec_type x, vec_type y) | Power (undefined if ``x`` < 0 or if ``x`` = 0 and ``y`` <= 0). |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **exp** (vec_type x) | Base-e exponential. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **exp2** (vec_type x) | Base-2 exponential. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **log** (vec_type x) | Natural logarithm. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **log2** (vec_type x) | Base-2 logarithm. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **sqrt** (vec_type x) | Square root. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **inversesqrt** (vec_type x) | Inverse square root. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **abs** (vec_type x) | Absolute value (returns positive value if negative). |
|
|
|
+| | |
|
|
|
+| ivec_type **abs** (ivec_type x) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **sign** (vec_type x) | Sign (returns ``1.0`` if positive, ``-1.0`` if negative, |
|
|
|
+| | ``0.0`` if zero). |
|
|
|
+| ivec_type **sign** (ivec_type x) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **floor** (vec_type x) | Round to the integer below. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **round** (vec_type x) | Round to the nearest integer. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **roundEven** (vec_type x) | Round to the nearest even integer. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **trunc** (vec_type x) | Truncation. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **ceil** (vec_type x) | Round to the integer above. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **fract** (vec_type x) | Fractional (returns ``x - floor(x)``). |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **mod** (vec_type x, vec_type y) | Modulo (division remainder). |
|
|
|
+| | |
|
|
|
+| vec_type **mod** (vec_type x, float y) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **modf** (vec_type x, out vec_type i) | Fractional of ``x``, with ``i`` as integer part. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **min** (vec_type a, vec_type b) | Lowest value between ``a`` and ``b``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **max** (vec_type a, vec_type b) | Highest value between ``a`` and ``b``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **clamp** (vec_type x, vec_type min, vec_type max) | Clamp ``x`` between ``min`` and ``max`` (inclusive). |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| float **mix** (float a, float b, float c) | Linear interpolate between ``a`` and ``b`` by ``c``. |
|
|
|
+| | |
|
|
|
+| vec_type **mix** (vec_type a, vec_type b, float c) | |
|
|
|
+| | |
|
|
|
+| vec_type **mix** (vec_type a, vec_type b, bvec_type c) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **fma** (vec_type a, vec_type b, vec_type c) | Performs a fused multiply-add operation: ``(a * b + c)`` |
|
|
|
+| | (faster than doing it manually). |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **step** (vec_type a, vec_type b) | ``b[i] < a[i] ? 0.0 : 1.0``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **step** (float a, vec_type b) | ``b[i] < a ? 0.0 : 1.0``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **smoothstep** (vec_type a, vec_type b, vec_type c) | Hermite interpolate between ``a`` and ``b`` by ``c``. |
|
|
|
+| | |
|
|
|
+| vec_type **smoothstep** (float a, float b, vec_type c) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **isnan** (vec_type x) | Returns ``true`` if scalar or vector component is ``NaN``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **isinf** (vec_type x) | Returns ``true`` if scalar or vector component is ``INF``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec_type **floatBitsToInt** (vec_type x) | Float->Int bit copying, no conversion. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uvec_type **floatBitsToUint** (vec_type x) | Float->UInt bit copying, no conversion. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **intBitsToFloat** (ivec_type x) | Int->Float bit copying, no conversion. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **uintBitsToFloat** (uvec_type x) | UInt->Float bit copying, no conversion. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| float **length** (vec_type x) | Vector length. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| float **distance** (vec_type a, vec_type b) | Distance between vectors i.e ``length(a - b)``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| float **dot** (vec_type a, vec_type b) | Dot product. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec3 **cross** (vec3 a, vec3 b) | Cross product. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **normalize** (vec_type x) | Normalize to unit length. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec3 **reflect** (vec3 I, vec3 N) | Reflect. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec3 **refract** (vec3 I, vec3 N, float eta) | Refract. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **faceforward** (vec_type N, vec_type I, vec_type Nref) | If ``dot(Nref, I)`` < 0, return N, otherwise –N. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| mat_type **matrixCompMult** (mat_type x, mat_type y) | Matrix component multiplication. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| mat_type **outerProduct** (vec_type column, vec_type row) | Matrix outer product. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| mat_type **transpose** (mat_type m) | Transpose matrix. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| float **determinant** (mat_type m) | Matrix determinant. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| mat_type **inverse** (mat_type m) | Inverse matrix. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **lessThan** (vec_type x, vec_type y) | Bool vector comparison on < int/uint/float vectors. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **greaterThan** (vec_type x, vec_type y) | Bool vector comparison on > int/uint/float vectors. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **lessThanEqual** (vec_type x, vec_type y) | Bool vector comparison on <= int/uint/float vectors. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **greaterThanEqual** (vec_type x, vec_type y) | Bool vector comparison on >= int/uint/float vectors. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **equal** (vec_type x, vec_type y) | Bool vector comparison on == int/uint/float vectors. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **notEqual** (vec_type x, vec_type y) | Bool vector comparison on != int/uint/float vectors. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bool **any** (bvec_type x) | ``true`` if any component is ``true``, ``false`` otherwise. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bool **all** (bvec_type x) | ``true`` if all components are ``true``, ``false`` otherwise. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| bvec_type **not** (bvec_type x) | Invert boolean vector. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec2 **textureSize** (gsampler2D s, int lod) | Get the size of a texture. |
|
|
|
+| | |
|
|
|
+| ivec3 **textureSize** (gsampler2DArray s, int lod) | |
|
|
|
+| | |
|
|
|
+| ivec3 **textureSize** (gsampler3D s, int lod) | |
|
|
|
+| | |
|
|
|
+| ivec2 **textureSize** (samplerCube s, int lod) | |
|
|
|
+| | |
|
|
|
+| ivec2 **textureSize** (samplerCubeArray s, int lod) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| gvec4_type **texture** (gsampler2D s, vec2 p [, float bias]) | Perform a texture read. |
|
|
|
+| | |
|
|
|
+| gvec4_type **texture** (gsampler2DArray s, vec3 p [, float bias]) | |
|
|
|
+| | |
|
|
|
+| gvec4_type **texture** (gsampler3D s, vec3 p [, float bias]) | |
|
|
|
+| | |
|
|
|
+| vec4 **texture** (samplerCube s, vec3 p [, float bias]) | |
|
|
|
+| | |
|
|
|
+| vec4 **texture** (samplerCubeArray s, vec4 p [, float bias]) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| gvec4_type **textureProj** (gsampler2D s, vec3 p [, float bias]) | Perform a texture read with projection. |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureProj** (gsampler2D s, vec4 p [, float bias]) | |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureProj** (gsampler3D s, vec4 p [, float bias]) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| gvec4_type **textureLod** (gsampler2D s, vec2 p, float lod) | Perform a texture read at custom mipmap. |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureLod** (gsampler2DArray s, vec3 p, float lod) | |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureLod** (gsampler3D s, vec3 p, float lod) | |
|
|
|
+| | |
|
|
|
+| vec4 **textureLod** (samplerCube s, vec3 p, float lod) | |
|
|
|
+| | |
|
|
|
+| vec4 **textureLod** (samplerCubeArray s, vec4 p, float lod) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| gvec4_type **textureProjLod** (gsampler2D s, vec3 p, float lod) | Performs a texture read with projection/LOD. |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureProjLod** (gsampler2D s, vec4 p, float lod) | |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureProjLod** (gsampler3D s, vec4 p, float lod) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| gvec4_type **textureGrad** (gsampler2D s, vec2 p, vec2 dPdx, | Performs a texture read with explicit gradients. |
|
|
|
+| vec2 dPdy) | |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureGrad** (gsampler2DArray s, vec3 p, vec2 dPdx, | |
|
|
|
+| vec2 dPdy) | |
|
|
|
+| | |
|
|
|
+| gvec4_type **textureGrad** (gsampler3D s, vec3 p, vec2 dPdx, | |
|
|
|
+| vec2 dPdy) | |
|
|
|
+| | |
|
|
|
+| vec4 **textureGrad** (samplerCube s, vec3 p, vec3 dPdx, vec3 dPdy) | |
|
|
|
+| | |
|
|
|
+| vec4 **textureGrad** (samplerCubeArray s, vec3 p, vec3 dPdx, | |
|
|
|
+| vec3 dPdy) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| gvec4_type **texelFetch** (gsampler2D s, ivec2 p, int lod) | Fetches a single texel using integer coordinates. |
|
|
|
+| | |
|
|
|
+| gvec4_type **texelFetch** (gsampler2DArray s, ivec3 p, int lod) | |
|
|
|
+| | |
|
|
|
+| gvec4_type **texelFetch** (gsampler3D s, ivec3 p, int lod) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| gvec4_type **textureGather** (gsampler2D s, vec2 p [, int comps]) | Gathers four texels from a texture. |
|
|
|
+| | Use ``comps`` within range of 0..3 to |
|
|
|
+| gvec4_type **textureGather** (gsampler2DArray s, vec3 p [, int comps]) | define which component (x, y, z, w) is returned. |
|
|
|
+| | If ``comps`` is not provided: 0 (or x-component) is used. |
|
|
|
+| vec4 **textureGather** (samplerCube s, vec3 p [, int comps]) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **dFdx** (vec_type p) | Derivative in ``x`` using local differencing. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **dFdy** (vec_type p) | Derivative in ``y`` using local differencing. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **fwidth** (vec_type p) | Sum of absolute derivative in ``x`` and ``y``. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uint **packHalf2x16** (vec2 v) | Convert two 32-bit floating-point numbers into 16-bit |
|
|
|
+| | and pack them into a 32-bit unsigned integer and vice-versa. |
|
|
|
+| vec2 **unpackHalf2x16** (uint v) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uint **packUnorm2x16** (vec2 v) | Convert two 32-bit floating-point numbers (clamped |
|
|
|
+| | within 0..1 range) into 16-bit and pack them |
|
|
|
+| vec2 **unpackUnorm2x16** (uint v) | into a 32-bit unsigned integer and vice-versa. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uint **packSnorm2x16** (vec2 v) | Convert two 32-bit floating-point numbers (clamped |
|
|
|
+| | within -1..1 range) into 16-bit and pack them |
|
|
|
+| vec2 **unpackSnorm2x16** (uint v) | into a 32-bit unsigned integer and vice-versa. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uint **packUnorm4x8** (vec4 v) | Convert four 32-bit floating-point numbers (clamped |
|
|
|
+| | within 0..1 range) into 8-bit and pack them |
|
|
|
+| vec4 **unpackUnorm4x8** (uint v) | into a 32-bit unsigned integer and vice-versa. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uint **packSnorm4x8** (vec4 v) | Convert four 32-bit floating-point numbers (clamped |
|
|
|
+| | within -1..1 range) into 8-bit and pack them |
|
|
|
+| vec4 **unpackSnorm4x8** (uint v) | into a 32-bit unsigned integer and vice-versa. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec_type **bitfieldExtract** (ivec_type value, int offset, int bits) | Extracts a range of bits from an integer. |
|
|
|
+| | |
|
|
|
+| uvec_type **bitfieldExtract** (uvec_type value, int offset, int bits) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec_type **bitfieldInsert** (ivec_type base, ivec_type insert, | Insert a range of bits into an integer. |
|
|
|
+| int offset, int bits) | |
|
|
|
+| | |
|
|
|
+| uvec_type **bitfieldInsert** (uvec_type base, uvec_type insert, | |
|
|
|
+| int offset, int bits) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec_type **bitfieldReverse** (ivec_type value) | Reverse the order of bits in an integer. |
|
|
|
+| | |
|
|
|
+| uvec_type **bitfieldReverse** (uvec_type value) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec_type **bitCount** (ivec_type value) | Counts the number of 1 bits in an integer. |
|
|
|
+| | |
|
|
|
+| uvec_type **bitCount** (uvec_type value) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec_type **findLSB** (ivec_type value) | Find the index of the least significant bit set to 1 in an integer. |
|
|
|
+| | |
|
|
|
+| uvec_type **findLSB** (uvec_type value) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| ivec_type **findMSB** (ivec_type value) | Find the index of the most significant bit set to 1 in an integer. |
|
|
|
+| | |
|
|
|
+| uvec_type **findMSB** (uvec_type value) | |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| void **imulExtended** (ivec_type x, ivec_type y, out ivec_type msb, | Adds two 32-bit numbers and produce a 64-bit result. |
|
|
|
+| out ivec_type lsb) | ``x`` - the first number. |
|
|
|
+| | ``y`` - the second number. |
|
|
|
+| void **umulExtended** (uvec_type x, uvec_type y, out uvec_type msb, | ``msb`` - will contain the most significant bits. |
|
|
|
+| out uvec_type lsb) | ``lsb`` - will contain the least significant bits. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uvec_type **uaddCarry** (uvec_type x, uvec_type y, out uvec_type carry) | Adds two unsigned integers and generates carry. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| uvec_type **usubBorrow** (uvec_type x, uvec_type y, out uvec_type borrow) | Subtracts two unsigned integers and generates borrow. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **ldexp** (vec_type x, out ivec_type exp) | Assemble a floating-point number from a value and exponent. |
|
|
|
+| | |
|
|
|
+| | If this product is too large to be represented in the |
|
|
|
+| | floating-point type the result is undefined. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
|
|
+| vec_type **frexp** (vec_type x, out ivec_type exp) | Splits a floating-point number(``x``) into significand |
|
|
|
+| | (in the range of [0.5, 1.0]) and an integral exponent. |
|
|
|
+| | |
|
|
|
+| | For ``x`` equals zero the significand and exponent are both zero. |
|
|
|
+| | For ``x`` of infinity or NaN, the results are undefined. |
|
|
|
++---------------------------------------------------------------------------+---------------------------------------------------------------------+
|
Yuri Roubinsky