49 lines
No EOL
1.6 KiB
HLSL
49 lines
No EOL
1.6 KiB
HLSL
/*
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contributors: Inigo Quiles
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description: cubic polynomial https://iquilezles.org/articles/smoothsteps/
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use: <float|float2|float3|float4> cubic(<float|float2|float3|float4> value [, <float> in, <float> out]);
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*/
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#ifndef FNC_CUBIC
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#define FNC_CUBIC
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float cubic(const in float v) { return v*v*(3.0-2.0*v); }
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float2 cubic(const in float2 v) { return v*v*(3.0-2.0*v); }
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float3 cubic(const in float3 v) { return v*v*(3.0-2.0*v); }
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float4 cubic(const in float4 v) { return v*v*(3.0-2.0*v); }
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float cubic(const in float value, in float slope0, in float slope1) {
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float a = slope0 + slope1 - 2.;
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float b = -2. * slope0 - slope1 + 3.;
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float c = slope0;
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float value2 = value * value;
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float value3 = value * value2;
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return a * value3 + b * value2 + c * value;
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}
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float2 cubic(const in float2 value, in float slope0, in float slope1) {
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float a = slope0 + slope1 - 2.;
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float b = -2. * slope0 - slope1 + 3.;
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float c = slope0;
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float2 value2 = value * value;
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float2 value3 = value * value2;
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return a * value3 + b * value2 + c * value;
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}
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float3 cubic(const in float3 value, in float slope0, in float slope1) {
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float a = slope0 + slope1 - 2.;
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float b = -2. * slope0 - slope1 + 3.;
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float c = slope0;
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float3 value2 = value * value;
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float3 value3 = value * value2;
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return a * value3 + b * value2 + c * value;
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}
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float4 cubic(const in float4 value, in float slope0, in float slope1) {
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float a = slope0 + slope1 - 2.;
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float b = -2. * slope0 - slope1 + 3.;
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float c = slope0;
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float4 value2 = value * value;
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float4 value3 = value * value2;
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return a * value3 + b * value2 + c * value;
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}
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#endif |