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#define NO_OBJECT_ID uint(0)
#define EPSILON 0.00001
#define M_PI 3.14159265358979323846
#define CAVITY_BUFFER_RANGE 4.0
/* 4x4 bayer matrix prepared for 8bit UNORM precision error. */
#define P(x) (((x + 0.5) * (1.0 / 16.0) - 0.5) * (1.0 / 255.0))
const vec4 dither_mat4x4[4] = vec4[4](
vec4( P(0.0), P(8.0), P(2.0), P(10.0)),
vec4(P(12.0), P(4.0), P(14.0), P(6.0)),
vec4( P(3.0), P(11.0), P(1.0), P(9.0)),
vec4(P(15.0), P(7.0), P(13.0), P(5.0))
);
float bayer_dither_noise() {
ivec2 tx1 = ivec2(gl_FragCoord.xy) % 4;
ivec2 tx2 = ivec2(gl_FragCoord.xy) % 2;
return dither_mat4x4[tx1.x][tx1.y];
}
#ifdef WORKBENCH_ENCODE_NORMALS
/* From http://aras-p.info/texts/CompactNormalStorage.html
* Using Method #4: Spheremap Transform */
vec3 workbench_normal_decode(vec2 enc)
{
vec2 fenc = enc.xy * 4.0 - 2.0;
float f = dot(fenc, fenc);
float g = sqrt(1.0 - f / 4.0);
vec3 n;
n.xy = fenc*g;
n.z = 1 - f / 2;
return n;
}
/* From http://aras-p.info/texts/CompactNormalStorage.html
* Using Method #4: Spheremap Transform */
vec2 workbench_normal_encode(vec3 n)
{
float p = sqrt(n.z * 8.0 + 8.0);
n.xy = clamp(n.xy / p + 0.5, 0.0, 1.0);
return n.xy;
}
#else
/* Well just do nothing... */
# define workbench_normal_encode(a) (a)
# define workbench_normal_decode(a) (a)
#endif /* WORKBENCH_ENCODE_NORMALS */
float calculate_transparent_weight(float z, float alpha)
{
#if 0
/* Eq 10 : Good for surfaces with varying opacity (like particles) */
float a = min(1.0, alpha * 10.0) + 0.01;
float b = -gl_FragCoord.z * 0.95 + 1.0;
float w = a * a * a * 3e2 * b * b * b;
#else
/* Eq 7 put more emphasis on surfaces closer to the view. */
// float w = 10.0 / (1e-5 + pow(abs(z) / 5.0, 2.0) + pow(abs(z) / 200.0, 6.0)); /* Eq 7 */
// float w = 10.0 / (1e-5 + pow(abs(z) / 10.0, 3.0) + pow(abs(z) / 200.0, 6.0)); /* Eq 8 */
// float w = 10.0 / (1e-5 + pow(abs(z) / 200.0, 4.0)); /* Eq 9 */
/* Same as eq 7, but optimized. */
float a = abs(z) / 5.0;
float b = abs(z) / 200.0;
b *= b;
float w = 10.0 / ((1e-5 + a * a) + b * (b * b)); /* Eq 7 */
#endif
return alpha * clamp(w, 1e-2, 3e2);
}
/* Special function only to be used with calculate_transparent_weight(). */
float linear_zdepth(float depth, vec4 viewvecs[3], mat4 proj_mat)
{
if (proj_mat[3][3] == 0.0) {
float d = 2.0 * depth - 1.0;
return -proj_mat[3][2] / (d + proj_mat[2][2]);
}
else {
/* Return depth from near plane. */
return depth * viewvecs[1].z;
}
}
vec3 view_vector_from_screen_uv(vec2 uv, vec4 viewvecs[3], mat4 proj_mat)
{
return (proj_mat[3][3] == 0.0)
? normalize(viewvecs[0].xyz + vec3(uv, 0.0) * viewvecs[1].xyz)
: vec3(0.0, 0.0, 1.0);
}
vec2 matcap_uv_compute(vec3 I, vec3 N, bool flipped)
{
/* Quick creation of an orthonormal basis */
float a = 1.0 / (1.0 + I.z);
float b = -I.x * I.y * a;
vec3 b1 = vec3(1.0 - I.x * I.x * a, b, -I.x);
vec3 b2 = vec3(b, 1.0 - I.y * I.y * a, -I.y);
vec2 matcap_uv = vec2(dot(b1, N), dot(b2, N));
if (flipped) {
matcap_uv.x = -matcap_uv.x;
}
return matcap_uv * 0.496 + 0.5;
}
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