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Code Issues Releases Wiki Activity

new projections mostly for Solv: Lie perspective and Lie orthogonal

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Zeno Rogue
2022-05-17 09:40:33 +02:00
parent 69a82a8ce1
commit a6dc4b9314
7 changed files with 162 additions and 14 deletions
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45
shaders.cpp
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@@ -88,6 +88,27 @@ EX string stereo_shader() {
"t.w = 1.;\n";
}
EX string shader_lie_log() {
if(nil) {
return "vec4 lie_log(vec4 v) { v[2] += v[0] * v[1] / 2.; return v; }\n";
}
else if(sol && !nih) {
return "vec4 lie_log(vec4 v) { if(abs(v[2]) > 1e-6) { v[0] *= -v[2] / (exp(-v[2])-1.); v[1] *= v[2] / (exp(v[2])-1.); } return v; }\n";
}
else if(sol && nih) {
return "vec4 lie_log(vec4 v) { if(abs(v[2]) > 1e-6) { float z = v[2] * log(2); v[0] *= -z / (exp(-z)-1.); z = v[2] * log(3); v[1] *= z / (exp(z)-1.); } return v; }\n";
}
else if(nih) {
return "vec4 lie_log(vec4 v) { if(abs(v[2]) > 1e-6) { float z = v[2] * log(2); v[0] *= z / (exp(z)-1.); z = v[2] * log(3); v[1] *= z / (exp(z)-1.); } return v; }\n";
}
else if(hyperbolic) {
return "vec4 lie_log(vec4 v) { v = deparabolic13(v); v[3] = 1.; /* if(abs(v[0]) > 1e-6) { float m = v[0] / (exp(v[0]) - 1.); v[1] *= m; v[2] *= m; } */ return v; }\n";
}
else {
return "vec4 lie_log(vec4 v) { return v; }\n";
}
}
shared_ptr<glhr::GLprogram> write_shader(flagtype shader_flags) {
string varying, vsh, fsh, vmain = "void main() {\n", fmain = "void main() {\n";
@@ -238,6 +259,16 @@ shared_ptr<glhr::GLprogram> write_shader(flagtype shader_flags) {
"t.xyz /= -rads; t[3] = 1.0;\n";
if(dim3) shader_flags |= SF_ZFOG;
}
else if(pmodel == mdLiePerspective) {
shader_flags |= SF_PERS3 | SF_DIRECT;
if(hyperbolic) {
shader_flags |= SF_ORIENT;
coordinator += "t = uPP * t;", vsh += "uniform mediump mat4 uPP;";
}
coordinator += "t = lie_log(t);\n";
distfun = "length(t.xyz)";
vsh += shader_lie_log();
}
else if(pmodel == mdGeodesic) {
shader_flags |= SF_PERS3 | SF_DIRECT;
coordinator += "t = inverse_exp(t);\n";
@@ -769,6 +800,20 @@ EX void add_fixed_functions(string& shader) {
"if(y < 0.) return atan(y / x) - PI;\n"
"}\n");
add_if(shader, "deparabolic13",
"mediump vec4 deparabolic13(mediump vec4 h) {\n"
" h /= (1. + h[3]);\n"
" h[0] -= 1.;\n"
" h /= h.x*h.x + h.y*h.y + h.z * h.z;\n"
" h[0] += .5;\n"
" mediump vec4 res;\n"
" res.x = (log(2.) + log(-h.x));\n"
" res.y = h.y * 2.;\n"
" res.z = h.z * 2.;\n"
" res.w = 1.;\n"
" return res;\n"
" }\n\n");
add_if(shader, "PI", "#define PI 3.14159265358979324\n");
#ifndef GLES_ONLY
add_if(shader, "mediump", "#define mediump\n");