#ifndef __NOISE_MATH__
#define __NOISE_MATH__

// Modulo 289 without a division (only multiplications)
float mod289(float x) {
	return x - floor(x * (1.0 / 289.0)) * 289.0;
}

float2 mod289(float2 x) {
	return x - floor(x * (1.0 / 289.0)) * 289.0;
}

float3 mod289(float3 x) {
	return x - floor(x * (1.0 / 289.0)) * 289.0;
}

float4 mod289(float4 x) {
	return x - floor(x * (1.0 / 289.0)) * 289.0;
}

// Modulo 7 without a division
float3 mod7(float3 x) {
	return x - floor(x * (1.0 / 7.0)) * 7.0;
}

float4 mod7(float4 x) {
	return x - floor(x * (1.0 / 7.0)) * 7.0;
}

// Permutation polynomial: (34x^2 + x) mod 289
float permute(float x) {
	return mod289(((x*34.0) + 1.0)*x);
}

float3 permute(float3 x) {
	return mod289((34.0 * x + 1.0) * x);
}

float4 permute(float4 x) {
	return mod289((34.0 * x + 1.0) * x);
}

float taylorInvSqrt(float r) {
	return 1.79284291400159 - 0.85373472095314 * r;
}

float4 taylorInvSqrt(float4 r) {
	return 1.79284291400159 - 0.85373472095314 * r;
}

float2 fade(float2 t) {
	return t*t*t*(t*(t*6.0 - 15.0) + 10.0);
}

float3 fade(float3 t) {
	return t*t*t*(t*(t*6.0 - 15.0) + 10.0);
}

float4 fade(float4 t) {
	return t*t*t*(t*(t*6.0 - 15.0) + 10.0);
}

#endif