add token quizzesHEADmain

1 files changed, 610 insertions, 0 deletions

diff --git a/Q5.php b/Q5.php
new file mode 100644
index 0000000..ee56101
--- /dev/null
+++ b/Q5.php
@@ -0,0 +1,610 @@
+<?php
+
+declare(strict_types=1);
+
+if (php_sapi_name() !== 'cli-server') {
+  fwrite(STDERR, <<<EOS
+    Usage:
+      php -S localhost:8000 $argv[0]
+
+    Recommended options:
+      -d opcache.enable_cli=on
+      -d opcache.jit=on
+      -d opcache.jit_buffer_size=100M
+      -d max_execution_time=300
+
+    EOS);
+  exit(1);
+}
+
+if (!str_ends_with($_SERVER['REQUEST_URI'], '.png')) {
+  echo base64_decode(
+    'PGhlYWQ+PHRpdGxlPkknbSBhIHRlYXBvdDwvdGl0bGU+PC9oZWFkPjxwPjxpbWcgc3JjPS90ZWFwb3Q'
+    . 'ucG5nIHdpZHRoPTQxOCBoZWlnaHQ9NDE4PjwvcD48c2NyaXB0PmNvbnNvbGUubG9nKGF0b2IoJw==')
+    . 'bm8gdG9rZW4gaGVyZSA7LSk='
+    . base64_decode('JykpPC9zY3JpcHQ+');
+  return;
+}
+
+// For slow machine, enable fast mode.
+const FAST_MODE = true;
+
+const w = FAST_MODE ? 104 : 209;
+const h = FAST_MODE ? 104 : 209;
+const rM = [[0.866,0.5,0,0],[-0.5,0.866,0,0],[0,0,1,0],[0,0,0,0]];
+const pM = [[1,0,0,0],[0,1,0,0],[0,0,-0.818,1.818],[0,0,-1,0]];
+
+[$vs, $ns, $ps] = T();
+
+$q = 0; $cP = [-5,0,0,0]; $cU = [0,1,0,0]; $L = [-0.41,0.82,-0.41,0];
+
+header('Content-Type: image/apng');
+APNG(); IHDR(); PLTE(); acTL(FAST_MODE ? 1 : 12);
+for ($f = 0; $f < 12; $f++) {
+  if (!FAST_MODE || $f === 9) {
+    $px = g($vs, $ns, $ps, cM($cP, $cU), $L);
+    fcTL($q++); $q === 1 ? IDAT($px) : fdAT($q++, $px);
+  }
+  $cP = mM(rM, $cP); $cU = mM(rM, $cU); $L = mM(rM, $L);
+}
+IEND();
+
+function T() {
+  $z = file_get_contents(__FILE__, offset: __COMPILER_HALT_OFFSET__);
+  $s = base64_decode(str_replace("\n", '', $z));
+  [$vsN, $tpsN, $rpsN, $tqsN, $rqsN] = array_values(unpack('va/vb/Cc/vd/Ce', $s));
+  $vs = array_chunk(unpack('g' . 3*$vsN, $s, $o=8), 3); $o += 4*3*$vsN;
+  $tps = array_chunk(unpack('v' . 3*$tpsN, $s, $o), 3); $o += 2*3*$tpsN;
+  $rps = array_chunk(unpack('v' . 4*$rpsN, $s, $o), 4); $o += 2*4*$rpsN;
+  $tqs = array_chunk(unpack('v' . 3*$tqsN, $s, $o), 3); $o += 2*3*$tqsN;
+  $rqs = array_chunk(unpack('v' . 4*$rqsN, $s, $o), 4);
+
+  $vs = array_map(fn($v) => [...$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] + $v[1]*$m[3][1] + $v[2]*$m[3][2] + $v[3]*$m[3][3],
+  ];
+}
+
+__halt_compiler();
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