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/* Float Math */
float safe_divide(float a, float b)
{
return (b != 0.0) ? a / b : 0.0;
}
/* Modulo with C sign convention. mod in GLSL will take absolute for negative numbers. */
float c_mod(float a, float b)
{
return (b != 0.0 && a != b) ? sign(a) * mod(abs(a), b) : 0.0;
}
float compatible_pow(float x, float y)
{
if (y == 0.0) { /* x^0 -> 1, including 0^0 */
return 1.0;
}
/* glsl pow doesn't accept negative x */
if (x < 0.0) {
if (mod(-y, 2.0) == 0.0) {
return pow(-x, y);
}
else {
return -pow(-x, y);
}
}
else if (x == 0.0) {
return 0.0;
}
return pow(x, y);
}
float hypot(float x, float y)
{
return sqrt(x * x + y * y);
}
int floor_to_int(float x)
{
return int(floor(x));
}
int quick_floor(float x)
{
return int(x) - ((x < 0) ? 1 : 0);
}
float floorfrac(float x, out int i)
{
float x_floor = floor(x);
i = int(x_floor);
return x - x_floor;
}
/* Vector Math */
vec2 safe_divide(vec2 a, vec2 b)
{
return vec2(safe_divide(a.x, b.x), safe_divide(a.y, b.y));
}
vec3 safe_divide(vec3 a, vec3 b)
{
return vec3(safe_divide(a.x, b.x), safe_divide(a.y, b.y), safe_divide(a.z, b.z));
}
vec4 safe_divide(vec4 a, vec4 b)
{
return vec4(
safe_divide(a.x, b.x), safe_divide(a.y, b.y), safe_divide(a.z, b.z), safe_divide(a.w, b.w));
}
vec2 safe_divide(vec2 a, float b)
{
return (b != 0.0) ? a / b : vec2(0.0);
}
vec3 safe_divide(vec3 a, float b)
{
return (b != 0.0) ? a / b : vec3(0.0);
}
vec4 safe_divide(vec4 a, float b)
{
return (b != 0.0) ? a / b : vec4(0.0);
}
vec3 c_mod(vec3 a, vec3 b)
{
return vec3(c_mod(a.x, b.x), c_mod(a.y, b.y), c_mod(a.z, b.z));
}
void vector_mix(float strength, vec3 a, vec3 b, out vec3 outVector)
{
outVector = strength * a + (1 - strength) * b;
}
void invert_z(vec3 v, out vec3 outv)
{
v.z = -v.z;
outv = v;
}
void vector_normalize(vec3 normal, out vec3 outnormal)
{
outnormal = normalize(normal);
}
/* Matirx Math */
mat3 euler_to_mat3(vec3 euler)
{
float cx = cos(euler.x);
float cy = cos(euler.y);
float cz = cos(euler.z);
float sx = sin(euler.x);
float sy = sin(euler.y);
float sz = sin(euler.z);
mat3 mat;
mat[0][0] = cy * cz;
mat[0][1] = cy * sz;
mat[0][2] = -sy;
mat[1][0] = sy * sx * cz - cx * sz;
mat[1][1] = sy * sx * sz + cx * cz;
mat[1][2] = cy * sx;
mat[2][0] = sy * cx * cz + sx * sz;
mat[2][1] = sy * cx * sz - sx * cz;
mat[2][2] = cy * cx;
return mat;
}
void direction_transform_m4v3(vec3 vin, mat4 mat, out vec3 vout)
{
vout = (mat * vec4(vin, 0.0)).xyz;
}
void normal_transform_transposed_m4v3(vec3 vin, mat4 mat, out vec3 vout)
{
vout = transpose(mat3(mat)) * vin;
}
void point_transform_m4v3(vec3 vin, mat4 mat, out vec3 vout)
{
vout = (mat * vec4(vin, 1.0)).xyz;
}
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