#ifdef ENVMAP_TYPE_CUBE_UV

#define cubeUV_textureSize (1024.0)

int getFaceFromDirection(vec3 direction) {
	vec3 absDirection = abs(direction);
	int face = -1;
	if( absDirection.x > absDirection.z ) {
		if(absDirection.x > absDirection.y )
			face = direction.x > 0.0 ? 0 : 3;
		else
			face = direction.y > 0.0 ? 1 : 4;
	}
	else {
		if(absDirection.z > absDirection.y )
			face = direction.z > 0.0 ? 2 : 5;
		else
			face = direction.y > 0.0 ? 1 : 4;
	}
	return face;
}
#define cubeUV_maxLods1  (log2(cubeUV_textureSize*0.25) - 1.0)
#define cubeUV_rangeClamp (exp2((6.0 - 1.0) * 2.0))

vec2 MipLevelInfo( vec3 vec, float roughnessLevel, float roughness ) {
	float scale = exp2(cubeUV_maxLods1 - roughnessLevel);
	float dxRoughness = dFdx(roughness);
	float dyRoughness = dFdy(roughness);
	vec3 dx = dFdx( vec * scale * dxRoughness );
	vec3 dy = dFdy( vec * scale * dyRoughness );
	float d = max( dot( dx, dx ), dot( dy, dy ) );
	// Clamp the value to the max mip level counts. hard coded to 6 mips
	d = clamp(d, 1.0, cubeUV_rangeClamp);
	float mipLevel = 0.5 * log2(d);
	return vec2(floor(mipLevel), fract(mipLevel));
}

#define cubeUV_maxLods2 (log2(cubeUV_textureSize*0.25) - 2.0)
#define cubeUV_rcpTextureSize (1.0 / cubeUV_textureSize)

vec2 getCubeUV(vec3 direction, float roughnessLevel, float mipLevel) {
	mipLevel = roughnessLevel > cubeUV_maxLods2 - 3.0 ? 0.0 : mipLevel;
	float a = 16.0 * cubeUV_rcpTextureSize;

	vec2 exp2_packed = exp2( vec2( roughnessLevel, mipLevel ) );
	vec2 rcp_exp2_packed = vec2( 1.0 ) / exp2_packed;
	// float powScale = exp2(roughnessLevel + mipLevel);
	float powScale = exp2_packed.x * exp2_packed.y;
	// float scale =  1.0 / exp2(roughnessLevel + 2.0 + mipLevel);
	float scale = rcp_exp2_packed.x * rcp_exp2_packed.y * 0.25;
	// float mipOffset = 0.75*(1.0 - 1.0/exp2(mipLevel))/exp2(roughnessLevel);
	float mipOffset = 0.75*(1.0 - rcp_exp2_packed.y) * rcp_exp2_packed.x;

	bool bRes = mipLevel == 0.0;
	scale =  bRes && (scale < a) ? a : scale;

	vec3 r;
	vec2 offset;
	int face = getFaceFromDirection(direction);

	float rcpPowScale = 1.0 / powScale;

	if( face == 0) {
		r = vec3(direction.x, -direction.z, direction.y);
		offset = vec2(0.0+mipOffset,0.75 * rcpPowScale);
		offset.y = bRes && (offset.y < 2.0*a) ? a : offset.y;
	}
	else if( face == 1) {
		r = vec3(direction.y, direction.x, direction.z);
		offset = vec2(scale+mipOffset, 0.75 * rcpPowScale);
		offset.y = bRes && (offset.y < 2.0*a) ? a : offset.y;
	}
	else if( face == 2) {
		r = vec3(direction.z, direction.x, direction.y);
		offset = vec2(2.0*scale+mipOffset, 0.75 * rcpPowScale);
		offset.y = bRes && (offset.y < 2.0*a) ? a : offset.y;
	}
	else if( face == 3) {
		r = vec3(direction.x, direction.z, direction.y);
		offset = vec2(0.0+mipOffset,0.5 * rcpPowScale);
		offset.y = bRes && (offset.y < 2.0*a) ? 0.0 : offset.y;
	}
	else if( face == 4) {
		r = vec3(direction.y, direction.x, -direction.z);
		offset = vec2(scale+mipOffset, 0.5 * rcpPowScale);
		offset.y = bRes && (offset.y < 2.0*a) ? 0.0 : offset.y;
	}
	else {
		r = vec3(direction.z, -direction.x, direction.y);
		offset = vec2(2.0*scale+mipOffset, 0.5 * rcpPowScale);
		offset.y = bRes && (offset.y < 2.0*a) ? 0.0 : offset.y;
	}
	r = normalize(r);
	float texelOffset = 0.5 * cubeUV_rcpTextureSize;
	vec2 s = ( r.yz / abs( r.x ) + vec2( 1.0 ) ) * 0.5;
	vec2 base = offset + vec2( texelOffset );
	return base + s * ( scale - 2.0 * texelOffset );
}

#define cubeUV_maxLods3 (log2(cubeUV_textureSize*0.25) - 3.0)

vec4 textureCubeUV( sampler2D envMap, vec3 reflectedDirection, float roughness ) {
	float roughnessVal = roughness* cubeUV_maxLods3;
	float r1 = floor(roughnessVal);
	float r2 = r1 + 1.0;
	float t = fract(roughnessVal);
	vec2 mipInfo = MipLevelInfo(reflectedDirection, r1, roughness);
	float s = mipInfo.y;
	float level0 = mipInfo.x;
	float level1 = level0 + 1.0;
	level1 = level1 > 5.0 ? 5.0 : level1;

	// round to nearest mipmap if we are not interpolating.
	level0 += min( floor( s + 0.5 ), 5.0 );

	// Tri linear interpolation.
	vec2 uv_10 = getCubeUV(reflectedDirection, r1, level0);
	vec4 color10 = envMapTexelToLinear(texture2D(envMap, uv_10));

	vec2 uv_20 = getCubeUV(reflectedDirection, r2, level0);
	vec4 color20 = envMapTexelToLinear(texture2D(envMap, uv_20));

	vec4 result = mix(color10, color20, t);

	return vec4(result.rgb, 1.0);
}

#endif