smoothstep(3) Step and interpolate.

gentype smoothstep(gentype edge0, gentype edge1, gentype x);
gentypef smoothstep(float edge0, float edge1, gentypef x);
gentyped smoothstep(double edge0, double edge1, gentyped x);

gentype smoothstep (half edge0, half edge1, gentype x) // if half extension enabled

DESCRIPTION

Returns 0.0 if xedge0 and 1.0 if xedge1 and performs smooth Hermite interpolation between 0 and 1 when edge0 < x < edge1. This is useful in cases where you would want a threshold function with a smooth transition.

This is equivalent to:

gentype t;
t = clamp((x - edge0) / (edge1 - edge0), 0, 1);
return t * t * (3 - 2 * t);

Results are undefined if edge0edge1 or if x, edge0 or edge1 is a NaN.

NOTES

The generic type name gentype is used to indicate that the function can take float, float2, float3, float4, float8, float16, double, double2, double3, double4, double8, or double16 as the type for the arguments.

The generic type name gentypef is used to indicate that the function can take float, float2, float3, float4, float8, or float16 as the type for the arguments.

The generic type name gentyped is used to indicate that the function can take double, double2, double3, double4, double8, or double16 as the type for the arguments.

The built-in common functions are implemented using the round to nearest even rounding mode.

If extended with cl_khr_fp16(3clc), generic type name gentype may indicate half and half{2|3|4|8|16} as arguments and return values.

This function can be implemented using contractions such as mad(3clc) or fma(3clc).

SPECIFICATION

m[blue]OpenCL Specificationm[][1]

AUTHORS

The Khronos Group

COPYRIGHT


Copyright © 2007-2011 The Khronos Group Inc.
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and/or associated documentation files (the "Materials"), to deal in the Materials without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Materials, and to permit persons to whom the Materials are furnished to do so, subject to the condition that this copyright notice and permission notice shall be included in all copies or substantial portions of the Materials.

NOTES

1.
OpenCL Specification
page 260, section 6.12.4 - Common Functions