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hyperrogue/rogueviz/nilrider/levels.cpp

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nilrider:: first commit
2022-04-24 17:48:45 +00:00
namespace nilrider {
nilrider:: goal checking and goal solving and goals for all levels
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bool all(checkerparam c) { return c.t->collected_triangles == Flag(isize(c.l->triangles))-1; }
goalchecker basic_check(ld time_limit, ld rev_limit) {
return [=] (checkerparam c) {
nilrider:: remove timer from checkerparam
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if(c.t->timer > time_limit || c.rev > rev_limit) return grFailed;
nilrider:: goal checking and goal solving and goals for all levels
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if(all(c)) return grSuccess;
return grNone;
};
}
goalchecker get_any(ld time_limit, ld rev_limit) {
return [=] (checkerparam c) {
nilrider:: remove timer from checkerparam
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if(c.t->timer > time_limit || c.rev > rev_limit) return grFailed;
nilrider:: goal checking and goal solving and goals for all levels
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if(c.t->collected_triangles) return grSuccess;
return grNone;
};
}
goalchecker get_ordered(ld time_limit, ld rev_limit) {
return [=] (checkerparam c) {
nilrider:: remove timer from checkerparam
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if(c.t->timer > time_limit || c.rev > rev_limit) return grFailed;
nilrider:: goal checking and goal solving and goals for all levels
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if(c.t->collected_triangles & (c.t->collected_triangles+1)) return grFailed;
if(all(c)) return grSuccess;
return grNone;
};
}
goalchecker yplus_check(ld time_limit, ld rev_limit) {
return [=] (checkerparam c) {
nilrider:: remove timer from checkerparam
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if(c.t->timer > time_limit || c.rev > rev_limit) return grFailed;
nilrider:: goal checking and goal solving and goals for all levels
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if(c.t->where[1] < 0) return grFailed;
if(all(c)) return grSuccess;
return grNone;
};
}
goalchecker fullstop_check(ld time_limit, ld rev_limit) {
return [=] (checkerparam c) {
nilrider:: remove timer from checkerparam
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if(c.t->timer > time_limit || c.rev > rev_limit) return grFailed;
nilrider:: goal checking and goal solving and goals for all levels
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if(all(c) && c.t->vel == 0) return grSuccess;
return grNone;
};
}
nilrider:: first commit
2022-04-24 17:48:45 +00:00
ld f_heisenberg0(hyperpoint h) { return 0; }
ld rot_plane(hyperpoint h) {
return h[0] * h[1] / 2;
}
ld f_rot_well(hyperpoint h) {
return h[0] * h[1] / 2 + h[0] * h[0] + h[1] * h[1];
}
ld long_x(hyperpoint h) {
return h[0] * h[1];
}
ld geodesics_0(hyperpoint h) {
ld r = hypot_d(2, h);
ld phi = atan2(h[1], h[0]);
ld z = (phi / 2 / M_PI) * (M_PI * r * r + 2 * M_PI);
return z + rot_plane(h);
}
ld geodesics_at_4(hyperpoint h) {
ld r = 4;
ld phi = atan2(h[1], h[0]);
ld z = (phi / 2 / M_PI) * (M_PI * r * r + 2 * M_PI);
return z + rot_plane(h);
}
map<char, color_t> bcols = {
{' ', 0xFF101010},
{'W', 0xFFFFFFFF},
{'g', 0xFF008000},
{'h', 0xFF20A020},
{'r', 0xFFFF4040},
{'u', 0xFF4040FF},
{'b', 0xFF804000},
{'l', 0xFF0000C0},
{'f', 0xFF603000},
{'F', 0xFF804000},
{'2', 0xFF404040},
{'4', 0xFF808080},
{'6', 0xFFC0C0C0},
nilrider:: stepped display
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{'!', 0xFF000000}
nilrider:: first commit
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};
nilrider:: stepped display
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const int pixel_per_block = 16;
map<char, array<string, pixel_per_block> > submaps = {
nilrider:: first commit
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{'o', {
"WWWWWWWWWWWWWWWW",
"W22222222222222W",
"W22222666622222W",
"W22266222266222W",
"W22622222222622W",
"W22622222222622W",
"W26222222222262W",
"W262222WW222262W",
"W262222WW222262W",
"W26222222222262W",
"W22622222222622W",
"W22622222222622W",
"W22266222266222W",
"W22222666622222W",
"W22222222222222W",
"WWWWWWWWWWWWWWWW"
}},
{'x', {
"WWWWWWWWWWWWWWWW",
"W22222222222222W",
"W22222222222222W",
"W22222222222222W",
"W22222222222222W",
"W22222222222222W",
"W22222622622222W",
"W222222rW222222W",
"W222222Wr222222W",
"W22222622622222W",
"W22222222222222W",
"W22222222222222W",
"W22222222222222W",
"W22222222222222W",
"W22222222222222W",
"WWWWWWWWWWWWWWWW"
}},
{'b', {
" ",
" rrr rrr rrr rrr",
" ",
"rr rrr rrr rrr r",
" ",
" rrr rrr rrr rrr",
" ",
"rr rrr rrr rrr r",
" ",
" rrr rrr rrr rrr",
" ",
"rr rrr rrr rrr r",
" ",
" rrr rrr rrr rrr",
" ",
"rr rrr rrr rrr r",
}},
{'f', {
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
"FfFfFfFfFfFfFfFf",
"fFfFfFfFfFfFfFfF",
}},
{'l', {
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
"llllllllllllllll",
}},
{'g', {
"ghghghghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
}},
{'G', {
"ghghghghghghghgh",
"hghghghghghWhghg",
"ghghrhghghWlWhgh",
"hghrWrhghghWhghg",
"ghghrhghghghghgh",
"hghghghghghghghg",
"ghghghghghghghgh",
"hghghghlhghghghg",
"ghghghlWlhghghgh",
"hghghghlhghghghg",
"ghghghghghghgrgh",
"hghglghghghgrWrg",
"ghglWlghghghgrgh",
"hghglghghghghghg",
"ghghghghghghghgh",
"hghghghghghghghg",
}},
{'r', {
"rrrrrrrrrrrrrrru",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"ubbbbbbbbbbbbbbu",
"urrrrrrrrrrrrrrr",
}},
{'*', {
"WWWWWW WW WWWWWW",
"W W",
"W W",
"W W",
"W W",
"W rr W",
" rr ",
"W r r W",
"W r r W",
" r r ",
"W r r W",
"W rrrrrrrr W",
"W W",
"W W",
"W W",
"WWWWWW WW WWWWWW",
}},
{'+', {
"gh WW gh",
"hg WW hg",
" WW ",
" ",
" ",
" WW ",
" WW ",
"WWW WWWWWW WWW",
"WWW WWWWWW WWW",
" WW ",
" WW ",
" ",
" ",
" WW ",
"gh WW gh",
"hg WW hg",
}},
{'-', {
"ghghghghghghghgh",
"hghghghghghghghg",
" ",
" ",
" ",
" ",
" ",
"WWW WWWWWW WWW",
"WWW WWWWWW WWW",
" ",
" ",
" ",
" ",
" ",
"ghghghghghghghgh",
"hghghghghghghghg",
}},
{'|', {
"gh WW gh",
"hg WW hg",
"gh WW gh",
"hg hg",
"gh gh",
"hg WW hg",
"gh WW gh",
"hg WW hg",
"gh WW gh",
"hg WW hg",
"gh WW gh",
"hg hg",
"gh gh",
"hg WW hg",
"gh WW gh",
"hg WW hg",
}},
};
level rotplane(
nilrider:: expanded the level descriptions
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"Trying to be horizontal", 'r', 0,
"Collect all the triangles!\n\n"
"All the lines going through the center are horizontal.\n"
"However, this is Nil geometry. The other lines are NOT horizontal! Clockwise ones slope upwards, and counterclockwise ones slop edownwards.\n"
"Your unicycle is powered only by the gravity. Use that to your advantage!"
,
nilrider:: first commit
2022-04-24 17:48:45 +00:00
-7.5*dft_block, 7.5*dft_block, 8.5*dft_block, -8.5*dft_block,
{
"ggggggggggggggg!",
"ggggggfffgggggg!",
"ggggggfffgggggg!",
"gggg|ggggg|gggg!",
nilrider:: collecting triangles
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"ggg-*-----*-ggg!",
nilrider:: first commit
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"gggg|ggggf|gggg!",
"ggGg|g+ggg|grgG!",
"gGgg|g|xgo|gggg!",
"ggGg|g|ggg|grgg!",
"gggg|g|ggg|gggg!",
nilrider:: collecting triangles
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"gg--*-+---*--gg!",
nilrider:: first commit
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"gggg|ggggg|gggg!",
"gggggggGGgggggg!",
"ggggggggggggggg!",
"ggggggggggggggg!",
"!!!!!!!!!!!!!!!!"
},
6, 6,
nilrider:: goal checking and goal solving and goals for all levels
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rot_plane,
{
// the solver[0.25] result is 36.92
goal{0x40FF40, "Collect all the triangles in below 60 seconds", basic_check(60, 999)},
goal{0xFFD500, "Collect all the triangles in below 38 seconds", basic_check(38, 999)}
}
nilrider:: first commit
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);
level longtrack(
"A Long Track", 'l', 0,
"The main street is horizontal, as well as the lines orthogonal to it.",
nilrider:: added a speeding area in the longtrack level
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0*dft_block, +6.5*dft_block, 64*dft_block, -1.5*dft_block,
nilrider:: first commit
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{
nilrider:: added a speeding area in the longtrack level
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"Ggggggggr!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
"Ggggggggr!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
"Ggggggggr!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!x!",
"Ggggxgggr!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
nilrider:: first commit
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"gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg",
nilrider:: collecting triangles
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"ggggggggrggggggrggggggggrGggggggggGGggggGGGgggggGGGGggggggggggGG",
nilrider:: the road starts closer so we know where to go
2022-05-06 11:14:15 +00:00
"--------------------------------------------------------------*G",
nilrider:: first commit
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"gggggfffffggggggggggggggggggggggggggggggggggggggggggggggggggggGG"
},
nilrider:: added a speeding area in the longtrack level
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0, 5,
nilrider:: goal checking and goal solving and goals for all levels
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long_x,
{
// the solver[0.25] result is 1:08.56 (reduced to 1:08.45 by removing some points)
goal{0xFFD500, "Collect the triangle in below 1:15", basic_check(75, 999)},
// the solver[0.25] + some manual modifications achieves 1:37.44
goal{0xFF4040, "Stop where the triangle is in below 1:45", fullstop_check(75, 999)},
// the solver[0.25] result is 1:45.52
goal{0x303030, "Reach the triangle without going on the right side of the road below 2:00", yplus_check(120, 999)},
}
nilrider:: first commit
2022-04-24 17:48:45 +00:00
);
level geodesical(
"Roads are Geodesics", 'g', nrlPolar,
nilrider:: expanded the level descriptions
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"Geodesics are the lines that are (locally) shortest. In the default settings, "
"the space in Nil Rider is rendered according to the Fermat's principle, that is, "
"light rays are assumed to be geodesics.\n\n"
"Geodesics in Nil are horizontal, vertical, and helical. "
"In this level, all the roads are (fragments of) helical geodesics.",
nilrider:: first commit
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-45*degree, 3*dft_block, 225*degree, 0,
// -8*dft_block, +8*dft_block, +8*dft_block, 0,
{
"ffffffffffffffff",
"----------------",
"----------------",
nilrider:: added triangles to remaining levels
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"*--------------*",
nilrider:: first commit
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"----------------",
"----------------",
"----------------",
"bbbbbbbbbbbbbbbb",
},
0, 6,
nilrider:: goal checking and goal solving and goals for all levels
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geodesics_0,
{
// the solver[0.25] result is 26.10
goal{0xFFD500, "Collect both triangles in below 30 seconds", basic_check(30, 999)}
}
nilrider:: first commit
2022-04-24 17:48:45 +00:00
);
level geodesical4(
"Helical Geodesic", 's', nrlPolar,
"The main road here is a helical geodesic. Orthogonal lines are horizontal.",
-80*degree, 8.5*dft_block, 260*degree, 0.5*dft_block,
// -8*dft_block, +8*dft_block, +8*dft_block, 0,
{
"!!!!!!!!!!!!!!!!",
"ffffffffffffffff",
"gggggggggggggggg",
"ggGggggggggGgggg",
hilrider:: goal added in geodesical4
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"+--------------*",
nilrider:: first commit
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"gggggGggggGggggg",
"gggGgggggGgggggg",
"ffffffffffffffff",
},
0, 5,
nilrider:: goal checking and goal solving and goals for all levels
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geodesics_at_4,
{
// the solver[0.25] result is 32.04
goal{0xFFD500, "Collect the triangle in below 35 seconds", basic_check(35, 999)}
}
nilrider:: first commit
2022-04-24 17:48:45 +00:00
);
level heisenberg0(
"Heisenberg Zero", 'z', 0,
"This is the plane z=0 in the Heisenberg group model of Nil. The roads are x=0, y=0 axes.",
-7.5*dft_block, 7.5*dft_block, 8.5*dft_block, -8.5*dft_block,
{
"ggggggg|ggggggg!",
"grggggg|gggggrg!",
nilrider:: added triangles to remaining levels
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"gg*gggg|gggg*gg!",
nilrider:: first commit
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"gggffgg|ggggggg!",
"gggffgg|ggfrggg!",
"ggggggg|gggggGg!",
"ggggggg|ggggggg!",
"-------+-------!",
"ggggggg|ggggggg!",
"gggGgog|ggggggg!",
"ggggggg|ggrgrgg!",
"gggGgGg|ggggggg!",
nilrider:: added triangles to remaining levels
2022-05-03 09:56:53 +00:00
"gg*gggg|gggg*gg!",
nilrider:: first commit
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"grggggg|gggggrg!",
"ggggggg|ggggggg!",
"!!!!!!!!!!!!!!!!"
},
8, 8,
nilrider:: nlrOrder flag to order the triangles correctly
2022-05-03 20:06:21 +00:00
f_heisenberg0,
{
// the solver[0.25] result is 49:15
goal{0x40FFd0, "Collect all triangles in below 0:55", basic_check(55, 999)}
}
nilrider:: first commit
2022-04-24 17:48:45 +00:00
);
level rotwell(
nilrider:: nlrOrder flag to order the triangles correctly
2022-05-03 20:06:21 +00:00
"Deep Well", 'd', nrlOrder,
nilrider:: expanded the level descriptions
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"Can you escape this well?\n\n"
"The sculpture in the center is built around eight helical geodesics which start in a point on the floor, and all cross in a point in the sky. Try to find that point and "
"look below!\n\n"
"Note: you can move the camera freely (using the arrow keys and PageUp/Down/Home/End) while the game is paused."
,
nilrider:: first commit
2022-04-24 17:48:45 +00:00
-7.5*dft_block, 7.5*dft_block, 8.5*dft_block, -8.5*dft_block,
{
"ggggggggggggggg!",
"gogggggggggggog!",
"ggggg--*--ggggg!",
"gggg*ggggg*gggg!",
"ggg*ggGfGgg*ggg!",
"gg|ggfgggfgg|gg!",
"gg|gGgggggGg|gg!",
"gg*gfggxggfg*gg!",
"gg|gGgggggGg|gg!",
"gg|ggfgggfgg|gg!",
"ggg*ggGfGgg*ggg!",
"gggg*ggggg*gggg!",
"ggggg--*--ggggg!",
"gogggggggggggog!",
"ggggggggggggggg!",
"!!!!!!!!!!!!!!!!"
},
8, 8,
nilrider:: goal checking and goal solving and goals for all levels
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f_rot_well,
{
// the solver[0.5] result is 1:19.54 (obtained using get_ordered)
goal{0xFFD500, "Collect all triangles below 1:25", basic_check(85, 999)}
}
nilrider:: first commit
2022-04-24 17:48:45 +00:00
);
level labyrinth(
"Labyrinth", 'l', 0,
nilrider:: expanded the level descriptions
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"You will have to go clockwise this time!\n\n"
"The squares of this level have half of their usual length.",
nilrider:: first commit
2022-04-24 17:48:45 +00:00
-7.5*dft_block/2, 7.5*dft_block/2, 8.5*dft_block/2, -8.5*dft_block/2,
{
"ogggrfffffffffo!",
"g*ggrgggggggggg!",
"ggggrgggggggggg!",
"ggggrgggggggggg!",
"ggggrgggrrggggg!",
"ggggrgGGGrrgggg!",
"ggggrGgggGrgggg!",
"ggggrGgxgGrgggg!",
"ggggrGgggGrgggg!",
"ggggrrGGGrrgggg!",
"gggggrrrrrggggg!",
"ggggggggggggggg!",
"ggggggggggggggg!",
"ggggggggggggggg!",
"offfffffffffffo!",
"!!!!!!!!!!!!!!!!"
},
8, 8,
nilrider:: goal checking and goal solving and goals for all levels
2022-05-03 20:08:17 +00:00
rot_plane,
{
// the solver[0.1] result is 1:03.53
// the solver[0.15] result is 1:06.58
// the solver[0.24] result is 1:08.54
// the solver[0.25] result is 1:22.09 (it goes north for some reason)
goal{0xFFD500, "Collect the triangle in below 1:15", basic_check(75, 999)}
}
nilrider:: first commit
2022-04-24 17:48:45 +00:00
);
nilrider:: new track (obstacle track)
2022-05-09 12:44:39 +00:00
level obstacle(
"Obstacle Course", 'o', 0,
"The main street is horizontal, as well as the lines orthogonal to it.",
0*dft_block, 2.5*dft_block, 64*dft_block, -5.5*dft_block,
{
"ggggggGrggGrgggggggggggggggggggggGrxgggggggggGrggggggggGrggggggo",
"ggggggGrggGrgggGrgggggGrgggggggggGrgggggggggggggGrgggggGrggggggo",
"-----------r----r------r----r-----r--r---------r---------------*",
"ggggggGrgggggggGrgggggGrggggggggggggGrggggggGrgggggggggGrggggggo",
"ggggggGrgggggggGrgggggggggggggggggggGrgggggggggGrggggggGrggggggo",
"!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
"!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
"!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!",
},
0, 4,
long_x,
{
goal{0xFFFFC0, "Collect the triangle in below 1:25, reversing time at most 3 times", basic_check(85, 3)},
goal{0xFFD500, "Collect the triangle in below 1:10, reversing time at most 3 times", basic_check(70, 3)},
}
);
nilrider:: first commit
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level *curlev = &rotplane;
nilrider:: two new levels
2022-08-14 17:23:18 +00:00
struct complex_surface {
hyperpoint cur;
map<pair<int, int>, surface_fun> blocks;
static transmatrix flatpush(hyperpoint h) { return rgpushxto0(point31(h[0], h[1], rot_plane(h))); }
static transmatrix hpush(hyperpoint h) { h[1] = 0; h[2] = 0; return flatpush(h); }
static transmatrix vpush(hyperpoint h) { h[0] = 0; h[2] = 0; return flatpush(h); }
static hyperpoint spin_around(hyperpoint h, hyperpoint start, hyperpoint ctr, ld dir) {
auto h1 = h - ctr;
auto d = hypot_d(2, h1);
ld r = 2;
h1 = h1 * (r / d);
ld phi = atan2(h1[1], h1[0]) + 90*degree;
ld phis = atan2((start-ctr)[1], (start-ctr)[0]) + 90 * degree;
if(phi < phis-M_PI) phi += 2 * M_PI;
if(phi > phis+M_PI) phi -= 2 * M_PI;
h1 += ctr;
auto z = [&] (ld a) { return point31(r*sin(a), -r*cos(a), (r * r / 2) * (a-sin(a)*cos(a))); };
if(0) {
// not smooth enough ....
transmatrix q = gpushxto0(z(phis)) * rgpushxto0(z(phi));
hyperpoint arc = rgpushxto0(start) * q * flatpush(h-h1) * C0;
return arc;
}
hyperpoint h2 = h; if(start[0] == ctr[0]) h2[1] = start[1]; else h2[0] = start[0];
hyperpoint pre = rgpushxto0(start) * flatpush(h2-start) * flatpush(h-h2) * C0;
hyperpoint last = rgpushxto0(start) * gpushxto0(z(phis)) * rgpushxto0(z(phis + dir * 90*degree)) * C0;
hyperpoint h3 = h; if(start[0] != ctr[0]) h3[1] = last[1]; else h3[0] = last[0];
hyperpoint post = rgpushxto0(last) * flatpush(h3-last) * flatpush(h-h3) * C0;
ld p = (1+sin((phi-phis)*2 - 90*degree)) / 2.;
pre[2] = pre[2] + (post[2] - pre[2]) * p;
// println(hlog, "START = ", start, " LAST = ", last, " h = ", h, " h2 = ", h2, " h3 = ", h3, " p = ", p, " pre = ", pre);
// exit(1);
return pre;
// flatpush(h1 - start) * flatpush(h - h1) * C0;
}
static hyperpoint rel(int x, int y) { return point30(x, y, 0); };
surface_fun& at(hyperpoint h) {
int ax = int(floor(h[0] / 4));
int ay = int(floor(h[1] / 4));
return blocks[{ax, ay}];
};
void right_block() {
auto c = cur;
println(hlog, "RIGHT at ", c);
auto f = [c] (hyperpoint h) { return rgpushxto0(c) * hpush(h-c) * vpush(h-c) * C0; };
at(c+rel(2, 0)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(4, 0));
}
void left_block() {
auto c = cur;
println(hlog, "LEFT at ", c);
auto f = [c] (hyperpoint h) { return rgpushxto0(c) * hpush(h-c) * vpush(h-c) * C0; };
at(c+rel(-2, 0)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(-4, 0));
}
void up_block() {
auto c = cur;
println(hlog, "UP at ", c);
auto f = [c] (hyperpoint h) { return rgpushxto0(c) * vpush(h-c) * hpush(h-c) * C0; };
at(c+rel(0, 2)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(0, 4));
}
void down_block() {
auto c = cur;
println(hlog, "DOWN at ", c);
auto f = [c] (hyperpoint h) { return rgpushxto0(c) * vpush(h-c) * hpush(h-c) * C0; };
at(c+rel(0, -2)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(0, -4));
}
/* counterclockwise */
void turn_up_block() {
auto c = cur;
println(hlog, "TURN UP at ", c);
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(0, 2), 1)); };
at(c+rel(2, 0)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(2, 2));
};
void turn_left_block() {
auto c = cur;
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(-2, 0), 1)); };
at(c+rel(0, 2)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(-2, 2));
};
void turn_down_block () {
auto c = cur;
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(0, -2), 1)); };
at(c+rel(-2, 0)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(-2, -2));
};
void turn_right_block() {
auto c = cur;
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(2, 0), 1)); };
at(c+rel(0, -2)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(2, -2));
};
/* clockwise */
void turn_up_block2() {
auto c = cur;
println(hlog, "TURN UP at ", c);
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(0, 2), -1)); };
at(c+rel(-2, 0)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(-2, 2));
};
void turn_left_block2() {
auto c = cur;
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(-2, 0), -1)); };
at(c+rel(0, -2)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(-2, -2));
};
void turn_down_block2() {
auto c = cur;
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(0, -2), -1)); };
at(c+rel(2, 0)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(2, -2));
};
void turn_right_block2() {
auto c = cur;
auto f = [c] (hyperpoint h) { return (spin_around(h, c, c+rel(2, 0), -1)); };
at(c+rel(0, 2)) = [f] (hyperpoint h) { return f(h)[2]; };
cur = f(c+rel(2, 2));
};
ld get(hyperpoint h) {
int ax = int(floor(h[0] / 4));
int ay = int(floor(h[1] / 4));
if(blocks.count({ax, ay})) return blocks[{ax, ay}] (h);
return 0;
}
complex_surface(hyperpoint h) : cur(h) {}
};
complex_surface *spiral, *hilbert;
ld spiral_level(hyperpoint h) {
if(!spiral) {
spiral = new complex_surface(point31(-4, 2, 0));
spiral->right_block();
spiral->right_block();
spiral->right_block();
spiral->right_block();
spiral->turn_up_block();
spiral->up_block();
spiral->up_block();
spiral->turn_left_block();
spiral->left_block();
spiral->left_block();
spiral->turn_down_block();
spiral->down_block();
spiral->turn_right_block();
spiral->right_block();
spiral->turn_up_block();
spiral->turn_left_block();
spiral->left_block();
}
return spiral->get(h);
}
ld hilbert_level(hyperpoint h) {
if(!hilbert) {
hilbert = new complex_surface(point31(2, 0, 0));
hilbert->up_block();
hilbert->turn_right_block2();
hilbert->turn_down_block2();
hilbert->turn_right_block();
hilbert->right_block();
hilbert->turn_up_block();
hilbert->turn_left_block();
hilbert->turn_up_block2();
hilbert->turn_right_block2();
hilbert->turn_up_block();
hilbert->turn_left_block();
hilbert->left_block();
hilbert->turn_down_block();
hilbert->turn_left_block2();
hilbert->turn_up_block2();
hilbert->up_block();
}
return hilbert->get(h);
}
level spirallev(
"Square Spiral", 's', 0,
"The projection of this track is shaped like a square spiral.",
0.5*dft_block, 16.5*dft_block, 16.5*dft_block, 0.5*dft_block,
{
"!!!!!!!!!!!!!!!!",
"rgggggggggggggr!",
"g+-----------+g!",
"g|gGgggggggGg|g!",
"g|G!!!!!!!!!G|g!",
"g|g!rgggggr!g|g!",
"g|g!g*---+g!g|g!",
"g|g!rgggg|g!g|g!",
"g|G!!!!!x|g!g|g!",
"g|gGgggGg|g!g|g!",
"g+-------+g!g|g!",
"rgggggggggr!g|g!",
"!!!!!!!!!!!!G|g!",
"fffggggggggGg|g!",
"-------------+g!",
"ggggggggggggggr!"
},
1, 15.4, spiral_level,
{
// the solver result is 55.239
goal{0xFFD500, "Collect the triangle in below 60 seconds", basic_check(60, 999)},
goal{0xFF4040, "Collect the triangle in below 70 seconds", basic_check(70, 999)},
}
);
level hilbertlev(
"Hilbert's Curve", 's', 0,
"The projection of this track is shaped like the Hilbert curve.",
0.5*dft_block, 16.5*dft_block, 16.5*dft_block, 0.5*dft_block,
{
"!!!!!!!!!!!!!!!!",
"ggg!rgggGGGgggr!",
"g*g!gf-------fg!",
"g|g!g|ggGGGgg|g!",
"g|g!g|g!!!!!g|g!",
"g|gxg|g!rgggg|g!",
"gf---fg!gf---fg!",
"rgggggr!g|ggggr!",
"!!!!!!!!g|o!!!!!",
"rgggggr!g|ggggr!",
"gf---fg!gf---fg!",
"g|ggg|g!rgggg|g!",
"g|g!x|g!!!!!g|g!",
"g|g!g|ggGGGgg|g!",
"g|g!gf-------fg!",
"g|g!rgggGGGgggr!"
},
2.4, 15.4, hilbert_level,
{
// the solver result is 50.94
goal{0xFFD500, "Collect the triangle in below 55 seconds", basic_check(55, 999)},
goal{0xFF4040, "Collect the triangle in below 60 seconds", basic_check(60, 999)},
}
);
nilrider:: first commit
2022-04-24 17:48:45 +00:00
vector<level*> all_levels = {
nilrider:: two new levels
2022-08-14 17:23:18 +00:00
&rotplane, &longtrack, &geodesical, &geodesical4, &heisenberg0, &rotwell, &labyrinth, &obstacle, &spirallev, &hilbertlev
nilrider:: first commit
2022-04-24 17:48:45 +00:00
};
}
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