quintic (`lygia`/`math`/`quintic`)

quintic polynomial https://iquilezles.org/articles/smoothsteps/

Use:

``````<float|vec2|vec3|vec4> quintic(<float|vec2|vec3|vec4> value);
``````

Check it on Github

``````
#ifndef FNC_QUINTIC
#define FNC_QUINTIC

float quintic(const in float v) { return v*v*v*(v*(v*6.0-15.0)+10.0); }
vec2  quintic(const in vec2 v)  { return v*v*v*(v*(v*6.0-15.0)+10.0); }
vec3  quintic(const in vec3 v)  { return v*v*v*(v*(v*6.0-15.0)+10.0); }
vec4  quintic(const in vec4 v)  { return v*v*v*(v*(v*6.0-15.0)+10.0); }

#endif
``````

Use:

``````<float|float2|float3|float4> quintic(<float|float2|float3|float4> value);
``````

Check it on Github

``````
#ifndef FNC_QUINTIC
#define FNC_QUINTIC

float   quintic(const in float v)   { return v*v*v*(v*(v*6.0-15.0)+10.0); }
float2  quintic(const in float2 v)  { return v*v*v*(v*(v*6.0-15.0)+10.0); }
float3  quintic(const in float3 v)  { return v*v*v*(v*(v*6.0-15.0)+10.0); }
float4  quintic(const in float4 v)  { return v*v*v*(v*(v*6.0-15.0)+10.0); }

#endif
``````

Check it on Github

``````
fn quintic(v: f32) -> f32 { return v*v*v*(v*(v*6.0-15.0)+10.0); }
fn quintic2(v: vec2f) -> vec2f { return v*v*v*(v*(v*6.0-15.0)+10.0); }
fn quintic3(v: vec3f) -> vec3f { return v*v*v*(v*(v*6.0-15.0)+10.0); }
fn quintic4(v: vec4f) -> vec4f { return v*v*v*(v*(v*6.0-15.0)+10.0); }

``````

Dependencies:

Use:

``````<float|float2|float3|float4> quintic(<float|float2|float3|float4> value);
``````

Check it on Github

``````

#ifndef FNC_QUINTIC
#define FNC_QUINTIC

inline __host__ __device__ float   quintic(float v)   { return v*v*v*(v*(v*6.0f-15.0f)+10.0f); }
inline __host__ __device__ float2  quintic(const float2& v)  { return v*v*v*(v*(v*6.0f-15.0f)+10.0f); }
inline __host__ __device__ float3  quintic(const float3& v)  { return v*v*v*(v*(v*6.0f-15.0f)+10.0f); }
inline __host__ __device__ float4  quintic(const float4& v)  { return v*v*v*(v*(v*6.0f-15.0f)+10.0f); }

#endif
``````