[...$v, 1], $vs); $ps = []; foreach ($tps as [$a, $b, $c]) $ps[] = [$a, $b, $c, 0]; foreach ($rps as [$a, $b, $c, $d]) array_push($ps, [$a, $b, $c, 0], [$c, $d, $a, 0]); foreach ($tqs as [$a, $b, $c]) $ps[] = [$a, $b, $c, 1]; foreach ($rqs as [$a, $b, $c, $d]) array_push($ps, [$a, $b, $c, 1], [$c, $d, $a, 1]); $ns = array_fill(0, count($vs), []); foreach ($ps as [$i1, $i2, $i3]) { $n = vN(vC(vS($vs[$i2], $vs[$i1]), vS($vs[$i3], $vs[$i2]))); $ns[$i1][] = $n; $ns[$i2][] = $n; $ns[$i3][] = $n; } foreach ($ns as $i => $vn) { $u = [0, 0, 0]; foreach ($vn as $n) { $u[0] += $n[0]; $u[1] += $n[1]; $u[2] += $n[2]; } $ns[$i] = vN($u); } return [$vs, $ns, $ps]; } function cM($c, $u) { $z = vN($c); $x = vN(vC($u, $z)); $y = vN(vC($z, $x)); return [ [$x[0], $x[1], $x[2], -vD($x, $c)], [$y[0], $y[1], $y[2], -vD($y, $c)], [$z[0], $z[1], $z[2], -vD($z, $c)], [0, 0, 0, 1], ]; } function g($vs, $ns, $ps, $cM, $L) { $us = array_fill(0, count($vs), 0); foreach ($vs as $i => $v) { [$x, $y, $z, $w] = mM(pM, mM($cM, $v)); $us[$i] = [$x/$w * w/2 + w/2, -$y/$w * h/2 + h/2, $z/$w]; } $pp = array_fill(0, count($ps), 0); foreach ($ps as $i => [$i1, $i2, $i3, $o]) { $v1 = $us[$i1]; $v2 = $us[$i2]; $v3 = $us[$i3]; $n1 = $ns[$i1]; $n2 = $ns[$i2]; $n3 = $ns[$i3]; $mx = min($v1[0], $v2[0], $v3[0]); $mX = max($v1[0], $v2[0], $v3[0]); $my = min($v1[1], $v2[1], $v3[1]); $mY = max($v1[1], $v2[1], $v3[1]); $pp[$i] = [ $v1, $v2, $v3, $n1, $n2, $n3, $mx, $mX, $my, $mY, $o, ]; } $px = array_fill(0, w*h, 0); for ($y = 0; $y < h; $y++) for ($x = 0; $x < w; $x++) { $D = -INF; foreach ($pp as [$v1, $v2, $v3, $n1, $n2, $n3, $mx, $mX, $my, $mY, $o]) { if ($x < $mx || $mX < $x || $y < $my || $mY < $y) continue; $e1 = ($v3[0]-$v2[0])*($y-$v2[1]) - ($v3[1]-$v2[1])*($x-$v2[0]); $e2 = ($v1[0]-$v3[0])*($y-$v3[1]) - ($v1[1]-$v3[1])*($x-$v3[0]); $e3 = ($v2[0]-$v1[0])*($y-$v1[1]) - ($v2[1]-$v1[1])*($x-$v1[0]); if (0<$e1 || 0<$e2 || 0<$e3) continue; $w1 = $e1 / ($e1+$e2+$e3); $w2 = $e2 / ($e1+$e2+$e3); $w3 = $e3 / ($e1+$e2+$e3); $d = $w1*$v1[2] + $w2*$v2[2] + $w3*$v3[2]; if ($d < $D) continue; $D = $d; $n = vN(vA(vA(vM($n1, $w1), vM($n2, $w2)), vM($n3, $w3))); $c = .2 + .8*max(0, vD($n, $L)); $px[$y*w+$x] = (int) ($c*127) + $o*128; } } return $px; } function APNG() { echo pack('C*', 0x89, 0x50, 0x4E, 0x47, 0x0D, 0x0A, 0x1A, 0x0A); } function acTL($n) { chunk('acTL', pack('NN', $n, 0)); } function fcTL($q) { chunk('fcTL', pack('NNNNNnnCC', $q, w, h, 0, 0, 50, 0, 1, 0)); } function IHDR() { chunk('IHDR', pack('NNCCCCC', w, h, 8, 3, 0, 0, 0)); } function IDAT($px) { xdat('IDAT', null, $px); } function fdAT($q, $px) { xdat('fdAT', $q, $px); } function IEND() { chunk('IEND', ''); } function PLTE() { $s = ''; for ($i = 0; $i < 128; $i++) $s .= pack('CCC', $i*2, $i*2, $i*2); for ($i = 0; $i < 128; $i++) $s .= pack('CCC', 0, 0, $i*2); chunk('PLTE', $s); } function xdat($t, $q, $px) { $s = $z = ''; if ($q !== null) $s .= pack('N', $q); $l = h * (w+1); $s .= pack('CCCvv', 0x78, 0x01, 1, $l, ~$l); for ($y = 0; $y < h; $y++) { $z .= pack('C', 0); for ($x = 0; $x < w; $x++) { $z .= pack('C', $px[$y*w+$x]); } } $s .= $z . pack('N', hexdec(hash('adler32', $z))); chunk($t, $s); } function chunk($t, $s) { $z = $t . $s; echo pack('N', strlen($s)).$z.pack('N', crc32($z)); } function vN($v) { $n = sqrt($v[0]**2+$v[1]**2+$v[2]**2); return $n == 0 ? $v : vM($v, 1/$n); } function vA($v, $u) { return [$v[0]+$u[0], $v[1]+$u[1], $v[2]+$u[2]]; } function vS($v, $u) { return [$v[0]-$u[0], $v[1]-$u[1], $v[2]-$u[2]]; } function vM($v, $k) { return [$v[0]*$k, $v[1]*$k, $v[2]*$k]; } function vD($v, $u) { return $v[0]*$u[0] + $v[1]*$u[1] + $v[2]*$u[2]; } function vC($v, $u) { return [$v[1]*$u[2]-$v[2]*$u[1], $v[2]*$u[0]-$v[0]*$u[2], $v[0]*$u[1]-$v[1]*$u[0]]; } function mM($m, $v) { return [ $v[0]*$m[0][0] + $v[1]*$m[0][1] + $v[2]*$m[0][2] + $v[3]*$m[0][3], $v[0]*$m[1][0] + $v[1]*$m[1][1] + $v[2]*$m[1][2] + $v[3]*$m[1][3], $v[0]*$m[2][0] + $v[1]*$m[2][1] + $v[2]*$m[2][2] + $v[3]*$m[2][3], $v[0]*$m[3][0] + 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