export default /* glsl */` #define PI 3.14159265359 #define PI2 6.28318530718 #define PI_HALF 1.5707963267949 #define RECIPROCAL_PI 0.31830988618 #define RECIPROCAL_PI2 0.15915494 #define LOG2 1.442695 #define EPSILON 1e-6 #ifndef saturate // may have defined saturate() already #define saturate(a) clamp( a, 0.0, 1.0 ) #endif #define whiteComplement(a) ( 1.0 - saturate( a ) ) float pow2( const in float x ) { return x*x; } float pow3( const in float x ) { return x*x*x; } float pow4( const in float x ) { float x2 = x*x; return x2*x2; } float average( const in vec3 color ) { return dot( color, vec3( 0.3333 ) ); } // expects values in the range of [0,1]x[0,1], returns values in the [0,1] range. // do not collapse into a single function per: http://byteblacksmith.com/improvements-to-the-canonical-one-liner-glsl-rand-for-opengl-es-2-0/ highp float rand( const in vec2 uv ) { const highp float a = 12.9898, b = 78.233, c = 43758.5453; highp float dt = dot( uv.xy, vec2( a,b ) ), sn = mod( dt, PI ); return fract(sin(sn) * c); } #ifdef HIGH_PRECISION float precisionSafeLength( vec3 v ) { return length( v ); } #else float max3( vec3 v ) { return max( max( v.x, v.y ), v.z ); } float precisionSafeLength( vec3 v ) { float maxComponent = max3( abs( v ) ); return length( v / maxComponent ) * maxComponent; } #endif struct IncidentLight { vec3 color; vec3 direction; bool visible; }; struct ReflectedLight { vec3 directDiffuse; vec3 directSpecular; vec3 indirectDiffuse; vec3 indirectSpecular; }; struct GeometricContext { vec3 position; vec3 normal; vec3 viewDir; #ifdef CLEARCOAT vec3 clearcoatNormal; #endif }; vec3 transformDirection( in vec3 dir, in mat4 matrix ) { return normalize( ( matrix * vec4( dir, 0.0 ) ).xyz ); } vec3 inverseTransformDirection( in vec3 dir, in mat4 matrix ) { // dir can be either a direction vector or a normal vector // upper-left 3x3 of matrix is assumed to be orthogonal return normalize( ( vec4( dir, 0.0 ) * matrix ).xyz ); } vec3 projectOnPlane(in vec3 point, in vec3 pointOnPlane, in vec3 planeNormal ) { float distance = dot( planeNormal, point - pointOnPlane ); return - distance * planeNormal + point; } float sideOfPlane( in vec3 point, in vec3 pointOnPlane, in vec3 planeNormal ) { return sign( dot( point - pointOnPlane, planeNormal ) ); } vec3 linePlaneIntersect( in vec3 pointOnLine, in vec3 lineDirection, in vec3 pointOnPlane, in vec3 planeNormal ) { return lineDirection * ( dot( planeNormal, pointOnPlane - pointOnLine ) / dot( planeNormal, lineDirection ) ) + pointOnLine; } mat3 transposeMat3( const in mat3 m ) { mat3 tmp; tmp[ 0 ] = vec3( m[ 0 ].x, m[ 1 ].x, m[ 2 ].x ); tmp[ 1 ] = vec3( m[ 0 ].y, m[ 1 ].y, m[ 2 ].y ); tmp[ 2 ] = vec3( m[ 0 ].z, m[ 1 ].z, m[ 2 ].z ); return tmp; } // https://en.wikipedia.org/wiki/Relative_luminance float linearToRelativeLuminance( const in vec3 color ) { vec3 weights = vec3( 0.2126, 0.7152, 0.0722 ); return dot( weights, color.rgb ); } bool isPerspectiveMatrix( mat4 m ) { return m[ 2 ][ 3 ] == - 1.0; } `;