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relativistic projections added

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Zeno Rogue
2022-10-14 00:56:48 +02:00
parent 7a6df6f060
commit a7ca4c2902
5 changed files with 137 additions and 6 deletions
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49
shaders.cpp
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@@ -110,6 +110,49 @@ EX string shader_lie_log() {
}
}
EX string shader_rel_log() {
if(sl2) return
"uniform mediump float uIndexSL;\n"
"vec4 rel_log(vec4 h) {\n"
"float shift = uIndexSL + atan2(h[2], h[3]); \n"
"float ca = cos(uIndexSL); float sa = -sin(uIndexSL);\n"
"vec4 h1 = h;\n"
"h[2] = h1[2] * ca - h1[3] * sa; h[3] = h1[3] * ca + h1[2] * sa;\n"
"h[0] = h1[0] * ca - h1[1] * sa; h[1] = h1[1] * ca + h1[0] * sa;\n"
"h1 = h;"
"if(h1[3] <= 1. && h1[3] >= -1.) {\n"
"float r = sqrt(h1[2]*h1[2] - h1[0]*h1[0] - h1[1]*h1[1]);\n"
"float z = asin_clamp(r);\n"
"if(h1[3] < 0.) z = PI - z;\n"
"z += floor(shift / 2. / PI + .5) * 2. * PI;\n"
"float scale = z/r;\n"
"h1 = h1 * scale; h1[3] = 1.;\n"
"} else if(shift > PI || shift < -PI || h1[3] < -1.) { return vec4(0,0,0,1); } else {\n"
"float r = sqrt(h1[0]*h1[0] + h1[1]*h1[1] - h1[2]*h1[2]);\n"
"float z = asinh(r);\n"
"float scale = z/r;\n"
"h1 = h1 * scale; h1[3] = 1.;\n"
"}\n"
"return h1;\n"
"}\n";
if(hyperbolic && GDIM == 3) return
"vec4 rel_log(vec4 h) {\n"
" float choice = h[3] * h[3] - h[0] * h[0] - h[1] * h[1];\n"
" float z, r;\n"
" if(choice > 0.) { r = sqrt(choice); z = asinh(r); }\n"
" else { r = sqrt(-choice); z = asin_clamp(r); if(h[2] < 0.) z = PI - z; }\n"
" h = h * z / r; h[2] = h[3]; h[3] = 1.;\n"
" return h;\n"
" }\n";
println(hlog, "geometry is: ", geometry);
throw hr_exception("shader_rel_log in wrong geometry");
}
shared_ptr<glhr::GLprogram> write_shader(flagtype shader_flags) {
string varying, vsh, fsh, vmain = "void main() {\n", fmain = "void main() {\n";
@@ -270,6 +313,12 @@ shared_ptr<glhr::GLprogram> write_shader(flagtype shader_flags) {
distfun = "length(t.xyz)";
vsh += shader_lie_log();
}
else if(pmodel == mdRelPerspective) {
shader_flags |= SF_PERS3 | SF_DIRECT;
coordinator += "t = rel_log(t);\n";
distfun = "length(t.xyz)";
vsh += shader_rel_log();
}
else if(pmodel == mdGeodesic) {
shader_flags |= SF_PERS3 | SF_DIRECT;
coordinator += "t = inverse_exp(t);\n";