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513 lines
14 KiB
C++
513 lines
14 KiB
C++
// Hyperbolic Rogue
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// geometrical constants
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// Copyright (C) 2011-2018 Zeno Rogue, see 'hyper.cpp' for details
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namespace hr {
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// the results are:
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// hexf = 0.378077 hcrossf = 0.620672 tessf = 1.090550
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// hexhexdist = 0.566256
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ld hcrossf7 = 0.620672;
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ld hexf7 = 0.378077;
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// the distance between two hexagon centers
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void geometry_information::prepare_basics() {
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DEBBI(DF_INIT | DF_POLY | DF_GEOM, ("prepare_basics"));
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hexshift = 0;
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ld fmin, fmax;
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if(archimedean)
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ginf[gArchimedean].cclass = gcHyperbolic;
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if(euclid) {
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// dynamicval<eGeometry> g(geometry, gNormal);
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// for(int i=0; i<S84; i++) spinmatrix[i] = spin(i * M_PI / S42);
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if(a4 && !BITRUNCATED) {
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crossf = .5;
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hexf = .5;
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hcrossf = crossf * sqrt(2) / 2;
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hexhexdist = crossf;
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hexvdist = hexf;
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hepvdist = hexf;
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rhexf = crossf * sqrt(2) / 2;
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tessf = crossf;
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}
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else if(a4 && BITRUNCATED) {
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ld s2 = sqrt(2);
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ld xx = 1 - s2 / 2;
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crossf = .5;
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tessf = crossf * s2;
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hexf = .5 * xx * s2;
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hcrossf = crossf;
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hexhexdist = crossf * s2;
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hexvdist = crossf * hypot(1-xx, xx);
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hepvdist = crossf;
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rhexf = hexf;
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tessf = crossf;
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}
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else {
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crossf = .5;
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tessf = crossf * sqrt(3);
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hexf = tessf/3;
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hcrossf = crossf;
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hexhexdist = crossf;
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hexvdist = hexf;
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hepvdist = crossf;
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rhexf = hexf;
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}
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goto finish;
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}
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if((sphere || hyperbolic) && WDIM == 3 && !binarytiling) {
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rhexf = hexf = 0.378077;
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crossf = hcrossf = 0.620672;
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tessf = 1.090550;
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hexhexdist = 0.566256;
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goto finish;
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}
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tessf = edge_of_triangle_with_angles(2*M_PI/S3, M_PI/S7, M_PI/S7);
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if(elliptic && S7 == 4) tessf = M_PI/2;
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hcrossf = edge_of_triangle_with_angles(M_PI/2, M_PI/S7, M_PI/S3);
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crossf = BITRUNCATED ? hcrossf : tessf;
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fmin = 0, fmax = tessf;
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for(int p=0; p<100; p++) {
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ld f = (fmin+fmax) / 2;
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hyperpoint H = xpush0(f);
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hyperpoint H1 = spin(2*M_PI/S7) * H;
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hyperpoint H2 = xpush0(tessf-f);
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ld v1 = intval(H, H1), v2 = intval(H, H2);
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if(v1 < v2) fmin = f; else fmax = f;
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}
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hexf = fmin;
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rhexf = BITRUNCATED ? hexf : hcrossf;
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if(!euclid && BITRUNCATED && !(S7&1))
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hexshift = ALPHA/2 + ALPHA * ((S7-1)/2) + M_PI;
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finish:
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for(int d=0; d<S7; d++)
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heptmove[d] = spin(-d * ALPHA) * xpush(tessf) * spin(M_PI);
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for(int d=0; d<S7; d++)
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hexmove[d] = spin(hexshift-d * ALPHA) * xpush(-crossf)* spin(M_PI);
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for(int d=0; d<S7; d++) invheptmove[d] = inverse(heptmove[d]);
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for(int d=0; d<S7; d++) invhexmove[d] = inverse(hexmove[d]);
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hexhexdist = hdist(xpush0(crossf), xspinpush0(M_PI*2/S7, crossf));
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hexvdist = hdist(xpush0(hexf), xspinpush0(ALPHA/2, hcrossf));
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DEBB(DF_GEOM | DF_POLY,
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(format("S7=%d S6=%d hexf = " LDF" hcross = " LDF" tessf = " LDF" hexshift = " LDF " hexhex = " LDF " hexv = " LDF "\n", S7, S6, hexf, hcrossf, tessf, hexshift,
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hexhexdist, hexvdist)));
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base_distlimit = ginf[geometry].distlimit[!BITRUNCATED];
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#if CAP_GP
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gp::compute_geometry();
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#endif
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#if CAP_IRR
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irr::compute_geometry();
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#endif
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#if CAP_ARCM
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if(archimedean) {
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arcm::current.compute_geometry();
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crossf = hcrossf7 * arcm::current.scale();
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hexvdist = arcm::current.scale() * .5;
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rhexf = arcm::current.scale() * .5;
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}
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#endif
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#if CAP_BT
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if(binarytiling) hexvdist = rhexf = 1, tessf = 1, scalefactor = 1, crossf = hcrossf7;
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if(geometry == gHoroRec) hexvdist = rhexf = .5, tessf = .5, scalefactor = .5, crossf = hcrossf7/2;
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#endif
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#if CAP_BT && MAXMDIM >= 4
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if(binarytiling && WDIM == 3) binary::build_tmatrix();
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#endif
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scalefactor = crossf / hcrossf7;
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orbsize = crossf;
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if(WDIM == 3) scalefactor *= vid.creature_scale;
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zhexf = BITRUNCATED ? hexf : crossf* .55;
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if(WDIM == 3) zhexf *= vid.creature_scale;
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if(WDIM == 2 && GDIM == 3) zhexf *= 1.5, orbsize *= 1.2;
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floorrad0 = hexvdist* (GDIM == 3 ? 1 : 0.92);
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floorrad1 = rhexf * (GDIM == 3 ? 1 : 0.94);
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if(euclid4) {
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if(!BITRUNCATED)
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floorrad0 = floorrad1 = rhexf * (GDIM == 3 ? 1 : .94);
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else
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floorrad0 = hexvdist * (GDIM == 3 ? 1 : .9),
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floorrad1 = rhexf * (GDIM == 3 ? 1 : .8);
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}
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set_sibling_limit();
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prepare_compute3();
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if(hyperbolic && &currfp != &fieldpattern::fp_invalid)
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currfp.analyze();
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}
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transmatrix xspinpush(ld dir, ld dist) {
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if(euclid)
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return eupush(cos(dir) * dist, -sin(dir) * dist);
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else
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return spin(dir) * xpush(dist) * spin(-dir);
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}
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purehookset hooks_swapdim;
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namespace geom3 {
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// Here we convert between the following parameters:
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// abslev: level below the plane
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// lev: level above the world (abslev = depth-lev)
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// projection: projection parameter
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// factor: zoom factor
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ld abslev_to_projection(ld abslev) {
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if(sphere || euclid) return vid.camera+abslev;
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return tanh(abslev) / tanh(vid.camera);
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}
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ld projection_to_abslev(ld proj) {
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if(sphere || euclid) return proj-vid.camera;
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// tanh(abslev) / tanh(camera) = proj
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return atanh(proj * tanh(vid.camera));
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}
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ld lev_to_projection(ld lev) {
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return abslev_to_projection(vid.depth - lev);
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}
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ld projection_to_factor(ld proj) {
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return lev_to_projection(0) / proj;
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}
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ld factor_to_projection(ld fac) {
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return lev_to_projection(0) / fac;
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}
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ld lev_to_factor(ld lev) {
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if(WDIM == 3) return lev;
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if(GDIM == 3) return vid.depth - lev;
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return projection_to_factor(lev_to_projection(lev));
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}
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ld factor_to_lev(ld fac) {
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if(DIM == 3) return fac;
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return vid.depth - projection_to_abslev(factor_to_projection(fac));
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}
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void do_auto_eye() {
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if(!vid.auto_eye) return;
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auto& cs = getcs();
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if(cs.charid < 4)
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vid.eye = cgi.eyelevel_human;
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else if(cs.charid < 8)
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vid.eye = cgi.eyelevel_dog;
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else if(cs.charid == 8)
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vid.eye = cgi.eyelevel_familiar;
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}
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// how should we scale at level lev
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ld scale_at_lev(ld lev) {
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if(sphere || euclid) return 1;
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return cosh(vid.depth - lev);
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}
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string invalid;
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ld actual_wall_height() {
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#if CAP_GP
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if(GOLDBERG && vid.gp_autoscale_heights)
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return vid.wall_height * min<ld>(4 / hypot_d(2, gp::next), 1);
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#endif
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return vid.wall_height;
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}
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}
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void geometry_information::prepare_compute3() {
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using namespace geom3;
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DEBBI(DF_INIT | DF_POLY | DF_GEOM, ("geom3::compute"));
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// tanh(depth) / tanh(camera) == vid.alpha
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invalid = "";
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if(GDIM == 3) ;
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else if(vid.tc_alpha < vid.tc_depth && vid.tc_alpha < vid.tc_camera)
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vid.alpha = tan_auto(vid.depth) / tan_auto(vid.camera);
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else if(vid.tc_depth < vid.tc_alpha && vid.tc_depth < vid.tc_camera) {
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ld v = vid.alpha * tan_auto(vid.camera);
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if(hyperbolic && (v<1e-6-12 || v>1-1e-12)) invalid = "cannot adjust depth", vid.depth = vid.camera;
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else vid.depth = atan_auto(v);
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}
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else {
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ld v = tan_auto(vid.depth) / vid.alpha;
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if(hyperbolic && (v<1e-12-1 || v>1-1e-12)) invalid = "cannot adjust camera", vid.camera = vid.depth;
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else vid.camera = atan_auto(v);
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}
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if(fabs(vid.alpha) < 1e-6) invalid = "does not work with perfect Klein";
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if(invalid != "") {
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INFDEEP = .7;
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BOTTOM = .8;
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HELLSPIKE = .85;
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LAKE = .9;
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FLOOR = 1;
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WALL = 1.25;
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SLEV[0] = 1;
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SLEV[1] = 1.08;
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SLEV[2] = 1.16;
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SLEV[3] = 1.24;
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FLATEYE = 1.03;
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LEG1 = 1.025;
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LEG = 1.05;
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LEG3 = 1.075;
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GROIN = 1.09;
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GROIN1 = 1.105;
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GHOST = 1.1;
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BODY = 1.15;
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BODY1 = 1.151;
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BODY2 = 1.152;
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BODY3 = 1.153;
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NECK1 = 1.16;
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NECK = 1.17;
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NECK3 = 1.18;
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HEAD = 1.188;
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HEAD1= 1.189;
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HEAD2= 1.190;
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HEAD3= 1.191;
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ABODY = 1.08;
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AHEAD = 1.12;
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BIRD = 1.20;
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}
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else {
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INFDEEP = GDIM == 3 ? (sphere ? M_PI/2 : +5) : (euclid || sphere) ? 0.01 : lev_to_projection(0) * tanh(vid.camera);
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ld wh = actual_wall_height();
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WALL = lev_to_factor(wh);
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FLOOR = lev_to_factor(0);
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human_height = vid.human_wall_ratio * wh;
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if(WDIM == 3) human_height = scalefactor * vid.height_width / 2;
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ld reduce = (WDIM == 3 ? human_height / 2 : 0);
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LEG0 = lev_to_factor(human_height * .0 - reduce);
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LEG1 = lev_to_factor(human_height * .1 - reduce);
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LEG = lev_to_factor(human_height * .2 - reduce);
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LEG3 = lev_to_factor(human_height * .3 - reduce);
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GROIN = lev_to_factor(human_height * .4 - reduce);
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GROIN1= lev_to_factor(human_height * .5 - reduce);
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BODY = lev_to_factor(human_height * .6 - reduce);
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BODY1 = lev_to_factor(human_height * .61 - reduce);
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BODY2 = lev_to_factor(human_height * .62 - reduce);
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BODY3 = lev_to_factor(human_height * .63 - reduce);
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NECK1 = lev_to_factor(human_height * .7 - reduce);
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NECK = lev_to_factor(human_height * .8 - reduce);
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NECK3 = lev_to_factor(human_height * .9 - reduce);
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HEAD = lev_to_factor(human_height * .97 - reduce);
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HEAD1 = lev_to_factor(human_height * .98 - reduce);
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HEAD2 = lev_to_factor(human_height * .99 - reduce);
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HEAD3 = lev_to_factor(human_height - reduce);
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reduce = (DIM == 3 ? human_height * .3 : 0);
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STUFF = lev_to_factor(0) - max(orbsize * 0.3, zhexf * .6);
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ABODY = lev_to_factor(human_height * .4 - reduce);
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ALEG0 = lev_to_factor(human_height * .0 - reduce);
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ALEG = lev_to_factor(human_height * .2 - reduce);
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AHEAD = lev_to_factor(human_height * .6 - reduce);
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BIRD = lev_to_factor(WDIM == 3 ? 0 : (vid.human_wall_ratio+1)/2 * wh * .8);
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GHOST = lev_to_factor(WDIM == 3 ? 0 : human_height * .5);
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FLATEYE = lev_to_factor(human_height * .15);
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slev = vid.rock_wall_ratio * wh / 3;
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for(int s=0; s<=3; s++)
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SLEV[s] = lev_to_factor(vid.rock_wall_ratio * wh * s/3);
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LAKE = lev_to_factor(-vid.lake_top);
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HELLSPIKE = lev_to_factor(-(vid.lake_top+vid.lake_bottom)/2);
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BOTTOM = lev_to_factor(-vid.lake_bottom);
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LOWSKY = lev_to_factor(2 * wh);
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HIGH = LOWSKY;
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HIGH2 = lev_to_factor(3 * wh);
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SKY = LOWSKY - 5;
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}
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}
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namespace geom3 {
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#if MAXMDIM >= 4
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void switch_always3() {
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if(dual::split(switch_always3)) return;
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if(rug::rugged) rug::close();
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vid.always3 = !vid.always3;
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swapmatrix(View);
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callhooks(hooks_swapdim);
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}
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#endif
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void switch_tpp() {
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if(dual::split(switch_fpp)) return;
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if(pmodel == mdDisk && vid.camera_angle) {
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vid.yshift = 0;
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vid.camera_angle = 0;
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vid.xposition = 0;
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vid.yposition = 0;
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vid.scale = 1;
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vid.fixed_facing = false;
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}
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else {
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vid.yshift = -0.3;
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vid.camera_angle = -45;
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vid.scale = 18/16. * vid.xres / vid.yres / multi::players;
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vid.xposition = 0;
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vid.yposition = -0.9;
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vid.fixed_facing = true;
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vid.fixed_facing_dir = 90;
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}
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}
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void switch_fpp() {
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#if MAXMDIM >= 4
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if(rug::rugged) rug::close();
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if(dual::split(switch_fpp)) return;
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check_cgi(); cgi.require_basics();
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View = inverse(conformal::rotmatrix()) * View;
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if(!vid.always3) {
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vid.always3 = true;
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ld ms = min<ld>(cgi.scalefactor, 1);
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vid.wall_height = 1.5 * ms;
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if(sphere) {
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vid.depth = M_PI / 6;
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vid.wall_height = M_PI / 3;
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}
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vid.human_wall_ratio = 0.8;
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if(euclid && allowIncreasedSight() && vid.use_smart_range == 0) {
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genrange_bonus = gamerange_bonus = sightrange_bonus = cgi.base_distlimit * 3/2;
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}
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vid.camera = 0;
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vid.depth = ms;
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if(pmodel == mdDisk) pmodel = mdPerspective;
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swapmatrix(View);
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callhooks(hooks_swapdim);
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#if CAP_RACING
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racing::player_relative = true;
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#endif
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}
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else {
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vid.always3 = false;
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vid.wall_height = .3;
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vid.human_wall_ratio = .7;
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vid.camera = 1;
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vid.depth = 1;
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if(pmodel == mdPerspective) pmodel = mdDisk;
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swapmatrix(View);
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callhooks(hooks_swapdim);
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}
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View = conformal::rotmatrix() * View;
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#endif
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}
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}
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geometry_information *cgip;
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map<string, geometry_information> cgis;
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int last_texture_step;
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int ntimestamp;
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void check_cgi() {
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string s;
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auto V = [&] (string a, string b) { s += a; s += ": "; s += b; s += "; "; };
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V("GEO", its(int(geometry)));
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V("VAR", its(int(variation)));
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if(GOLDBERG) V("GP", its(gp::param.first) + "," + its(gp::param.second));
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if(IRREGULAR) V("IRR", its(irr::irrid));
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if(geometry == gArchimedean) V("ARCM", arcm::current.symbol);
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if(geometry == gCrystal) V("CRYSTAL", its(ginf[gCrystal].sides) + its(ginf[gCrystal].vertex));
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if(binarytiling || DIM == 3) V("WQ", its(vid.texture_step));
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if(binarytiling) V("BT", fts(vid.binary_width));
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if(GDIM == 2) {
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V("CAMERA", fts(vid.camera));
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}
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if(WDIM == 2) {
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V("WH", fts(vid.wall_height));
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V("HW", fts(vid.human_wall_ratio));
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V("RW", fts(vid.rock_wall_ratio));
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V("DEPTH", fts(vid.depth));
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V("ASH", ONOFF(vid.gp_autoscale_heights));
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V("LT", fts(vid.lake_top));
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V("LB", fts(vid.lake_bottom));
|
|
}
|
|
|
|
V("3D", ONOFF(vid.always3));
|
|
|
|
if(WDIM == 3) {
|
|
V("CS", fts(vid.creature_scale));
|
|
V("HTW", fts(vid.height_width));
|
|
}
|
|
|
|
V("LQ", its(vid.linequality));
|
|
|
|
cgip = &cgis[s];
|
|
cgi.timestamp = ++ntimestamp;
|
|
|
|
if(isize(cgis) > 4) {
|
|
cgi.timestamp = ticks;
|
|
vector<pair<int, string>> timestamps;
|
|
for(auto& t: cgis) timestamps.emplace_back(-t.second.timestamp, t.first);
|
|
sort(timestamps.begin(), timestamps.end());
|
|
while(isize(timestamps) > 4) {
|
|
println(hlog, "erasing geometry ", timestamps.back().second);
|
|
cgis.erase(timestamps.back().second);
|
|
timestamps.pop_back();
|
|
}
|
|
}
|
|
|
|
if(floor_textures && last_texture_step != vid.texture_step) {
|
|
println(hlog, "changed ", last_texture_step, " to ", vid.texture_step);
|
|
delete floor_textures;
|
|
floor_textures = NULL;
|
|
}
|
|
|
|
if(!floor_textures && DIM == 3 && (cgi.state & 2))
|
|
make_floor_textures();
|
|
|
|
}
|
|
|
|
void clear_cgis() {
|
|
printf("clear_cgis\n");
|
|
for(auto& p: cgis) if(&p.second != &cgi) { cgis.erase(p.first); return; }
|
|
}
|
|
|
|
auto ah_clear_geo = addHook(hooks_clear_cache, 0, clear_cgis);
|
|
|
|
}
|