1STRINGIFY( 2 3$genType cos($genType y); 4$genHType cos($genHType y); 5float dot($genType x, $genType y); 6float2x2 inverse(float2x2 m); 7float3x3 inverse(float3x3 m); 8float4x4 inverse(float4x4 m); 9$genType sin($genType x); 10$genHType sin($genHType x); 11$genType sqrt($genType x); 12$genHType sqrt($genHType x); 13$genType tan($genType x); 14$genHType tan($genHType x); 15 16float degrees(float rad) { return rad * 57.2957795; } 17float2 degrees(float2 rad) { return rad * 57.2957795; } 18float3 degrees(float3 rad) { return rad * 57.2957795; } 19float4 degrees(float4 rad) { return rad * 57.2957795; } 20 21float radians(float deg) { return deg * 0.0174532925; } 22float2 radians(float2 deg) { return deg * 0.0174532925; } 23float3 radians(float3 deg) { return deg * 0.0174532925; } 24float4 radians(float4 deg) { return deg * 0.0174532925; } 25 26float length(float2 v) { return sqrt(dot(v, v)); } 27float length(float3 v) { return sqrt(dot(v, v)); } 28float length(float4 v) { return sqrt(dot(v, v)); } 29 30float distance(float2 a, float2 b) { return length(a - b); } 31float distance(float3 a, float3 b) { return length(a - b); } 32float distance(float4 a, float4 b) { return length(a - b); } 33 34float2 normalize(float2 v) { return v / length(v); } 35float3 normalize(float3 v) { return v / length(v); } 36float4 normalize(float4 v) { return v / length(v); } 37 38float mix(float x, float y, float t) { return x * (1 - t) + y * t; } 39float2 mix(float2 x, float2 y, float t) { return x * (1 - t) + y * t; } 40float3 mix(float3 x, float3 y, float t) { return x * (1 - t) + y * t; } 41float4 mix(float4 x, float4 y, float t) { return x * (1 - t) + y * t; } 42 43float2 mix(float2 x, float2 y, float2 t) { return x * (1 - t) + y * t; } 44float3 mix(float3 x, float3 y, float3 t) { return x * (1 - t) + y * t; } 45float4 mix(float4 x, float4 y, float4 t) { return x * (1 - t) + y * t; } 46 47float3 cross(float3 a, float3 b) { 48 return float3(a.y * b.z - a.z * b.y, 49 a.z * b.x - a.x * b.z, 50 a.x * b.y - a.y * b.x); 51} 52 53) 54