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// ----------------------------------------------------------------------------
// Copyright (c) 2014, Nicolas P. Rougier. All Rights Reserved.
// Distributed under the (new) BSD License.
// ----------------------------------------------------------------------------
/*
Power scales are similar to linear scales, except there's an exponential
transform that is applied to the input domain value before the output range
value is computed. The mapping to the output range value y can be expressed
as a function of the input domain value x: y = mx^k + b, where k is the
exponent value. Power scales also support negative values, in which case the
input value is multiplied by -1, and the resulting output value is also
multiplied by -1.
*/
uniform int power_scale_clamp;
uniform int power_scale_discard;
uniform vec2 power_scale_range;
uniform vec2 power_scale_domain;
uniform float power_scale_exponent;
float forward(float value)
{
vec2 domain = power_scale_domain;
vec2 range = power_scale_range;
float exponent = power_scale_exponent;
float v = pow(abs(value), exponent);
float t = (v - domain.x) /(domain.y - domain.x);
#ifdef __FRAGMENT_SHADER__
if (power_scale_discard > 0)
if (t != clamp(t, 0.0, 1.0))
discard;
#endif
if (power_scale_clamp > 0)
t = clamp(t, 0.0, 1.0);
return sign(value) * (range.x + t*(range.y - range.x));
}
vec2 forward(vec2 value)
{
vec2 domain = power_scale_domain;
vec2 range = power_scale_range;
float exponent = power_scale_exponent;
vec2 v = pow(abs(value), vec2(exponent));
vec2 t = (v - domain.x) /(domain.y - domain.x);
#ifdef __FRAGMENT_SHADER__
if (power_scale_discard > 0)
if (t != clamp(t, 0.0, 1.0))
discard;
#endif
if (power_scale_clamp > 0)
t = clamp(t, 0.0, 1.0);
return sign(value) * (range.x + t*(range.y - range.x));
}
vec3 forward(vec3 value)
{
vec2 domain = power_scale_domain;
vec2 range = power_scale_range;
float exponent = power_scale_exponent;
vec3 v = pow(abs(value), vec3(exponent));
vec3 t = (v - domain.x) /(domain.y - domain.x);
#ifdef __FRAGMENT_SHADER__
if (power_scale_discard > 0)
if (t != clamp(t, 0.0, 1.0))
discard;
#endif
if (power_scale_clamp > 0)
t = clamp(t, 0.0, 1.0);
return sign(value) * (range.x + t*(range.y - range.x));
}
float inverse(float value)
{
vec2 domain = power_scale_domain;
vec2 range = power_scale_range;
float exponent = power_scale_exponent;
float t = (abs(value) - range.x) / (range.y - range.x);
#ifdef __FRAGMENT_SHADER__
if (power_scale_discard > 0)
if (t != clamp(t, 0.0, 1.0))
discard;
#endif
if (power_scale_clamp > 0)
t = clamp(t, 0.0, 1.0);
float v = domain.x + t*(domain.y - domain.x);
return sign(value) * pow(abs(v), 1.0/exponent);
}
vec2 inverse(vec2 value)
{
vec2 domain = power_scale_domain;
vec2 range = power_scale_range;
float exponent = power_scale_exponent;
vec2 t = (abs(value) - range.x) / (range.y - range.x);
#ifdef __FRAGMENT_SHADER__
if (power_scale_discard > 0)
if (t != clamp(t, 0.0, 1.0))
discard;
#endif
if (power_scale_clamp > 0)
t = clamp(t, 0.0, 1.0);
vec2 v = domain.x + t*(domain.y - domain.x);
return sign(value) * pow(abs(v), vec2(1.0/exponent));
}
vec3 inverse(vec3 value)
{
vec2 domain = power_scale_domain;
vec2 range = power_scale_range;
float exponent = power_scale_exponent;
vec3 t = (abs(value) - range.x) / (range.y - range.x);
#ifdef __FRAGMENT_SHADER__
if (power_scale_discard > 0)
if (t != clamp(t, 0.0, 1.0))
discard;
#endif
if (power_scale_clamp > 0)
t = clamp(t, 0.0, 1.0);
vec3 v = domain.x + t*(domain.y - domain.x);
return sign(value) * pow(abs(v), vec3(1.0/exponent));
}
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