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labyrnth.cpp
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labyrnth.cpp
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/*
** Daedalus (Version 3.5) File: labyrnth.cpp
** By Walter D. Pullen, Astara@msn.com, http://www.astrolog.org/labyrnth.htm
**
** IMPORTANT NOTICE: Daedalus and all Maze generation and general
** graphics routines used in this program are Copyright (C) 1998-2024 by
** Walter D. Pullen. Permission is granted to freely use, modify, and
** distribute these routines provided these credits and notices remain
** unmodified with any altered or distributed versions of the program.
** The user does have all rights to Mazes and other graphic output
** they make in Daedalus, like a novel created in a word processor.
**
** More formally: This program is free software; you can redistribute it
** and/or modify it under the terms of the GNU General Public License as
** published by the Free Software Foundation; either version 2 of the
** License, or (at your option) any later version. This program is
** distributed in the hope that it will be useful and inspiring, but
** WITHOUT ANY WARRANTY; without even the implied warranty of
** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
** General Public License for more details, a copy of which is in the
** LICENSE.HTM included with Daedalus, and at http://www.gnu.org
**
** This file contains unicursal Labyrinth creation algorithms.
**
** Created: 7/12/2009.
** Last code change: 10/30/2024.
*/
#include <stdio.h>
#include <stdlib.h>
#include <memory.h>
#include <math.h>
#include "util.h"
#include "graphics.h"
#include "color.h"
#include "threed.h"
#include "maze.h"
// Convert a Maze to a unicursal Maze, by adding walls bisecting each passage,
// where each old dead end becomes a new U-turn passage. This should only be
// called on a bitmap that's been bias zoomed such that walls are one pixel
// and passages three pixels thick. Called from CreateMazeUnicursal() to do
// most of the work of creating unicursal Mazes.
long CMaz::UnicursalApply(flag fClear)
{
int x, y;
int count = 0;
for (y = yl + 2; y <= yh - 2; y += 4)
for (x = xl + 2; x <= xh - 2; x += 4)
if (fClear || FOnMaze2(x, y)) {
count++;
Set1(x, y);
if (!Get(x, y - 2)) {
Set1(x, y - 1);
Set1(x, y - 2);
}
if (!Get(x - 2, y)) {
Set1(x - 1, y);
Set1(x - 2, y);
}
if (!Get(x, y + 2))
Set1(x, y + 1);
if (!Get(x + 2, y))
Set1(x + 1, y);
}
return count;
}
// Create a new Unicursal Maze in the bitmap, i.e. a Maze without junctions.
flag CMaz::CreateMazeUnicursal()
{
CMaz b2;
flag fOddX, fOddY, fX, fY, fSav;
int nSav1, nSav2;
if (!FEnsureMazeSize(3, femsNoResize | femsNoSection | femsMinSize))
return fFalse;
fOddX = FOdd(m_x); fOddY = FOdd(m_y);
fX = (m_x + fOddX & 2) == 0; fY = (m_y + fOddY & 2) == 0;
// Start with a bitmap slightly more than one half the size of the final.
if (!FBitmapSizeSet(
((m_x + fOddX) >> 1)+2 & ~1, ((m_y + fOddY) >> 1)+2 & ~1))
return fFalse;
SetXyh();
if (!(ms.fInfEller && fX && fY)) {
BitmapOn();
BlockOuter(fOff);
// Add passages along 0 to 2 edges to allow different entrance locations.
if (fX || fY) {
if (fX)
LineY(fY ? xh - 2 : 1, 1, yh - 2, fOff);
if (fY)
LineX(1, xh - 2, 1, fOff);
Set0(1, 0);
if (fX) {
if (fY)
Set0(xh-2, yh-1);
else
Set0(1, yh-1);
} else
Set0(xh-2, 1);
} else
MakeEntranceExit(6);
// Create a new perfect Maze by adding onto the initial lines.
fSav = ms.fRiver; ms.fRiver = fFalse;
nSav1 = ms.nHuntType; ms.nHuntType = 1;
PerfectGenerate(fFalse, 1, 1);
ms.fRiver = fSav; ms.nHuntType = nSav1;
} else {
// Create binary tree Maze which already has passages along 2 edges.
nSav1 = ms.nRndRun; ms.nRndRun = 100;
nSav2 = ms.nEntrancePos; ms.nEntrancePos = epCorner;
CreateMazeBinary();
ms.nRndRun = nSav1; ms.nEntrancePos = nSav2;
}
// Zoom this standard Maze 200% and convert it to a Unicursal Maze.
if (!FBitmapBias(1, 3, 1, 3))
return fFalse;
SetXyh();
UpdateDisplay();
UnicursalApply(fTrue);
// Resize the bitmap to get rid of the starting lines and do touch ups.
if (!b2.FAllocate(
m_x - (1 + fX)*2 - fOddX, m_y - (1 + fY)*2 - fOddY, this))
return fFalse;
b2.BlockMove(*this, (fX && !fY)*2, fY*2, m_x + 1, m_y + 1, 0, 0);
CopyFrom(b2);
if (fX || fY) {
if (fX)
Set1(fY ? m_x-2+fOddX : 0, m_y-2+fOddY);
ms.xEntrance = 1;
} else
ms.xEntrance = (ms.xEntrance << 1) - 1;
ms.yEntrance = 0;
return fTrue;
}
// Draw a Hilbert curve, a type of fractal unicursal Labyrinth.
flag CMaz::CreateMazeHilbert(flag f3D)
{
CMaz b2;
int i, w, x, y, z;
flag fMaze = ms.fFractalI;
if (!f3D) {
// Create base case generation 1
if (!FBitmapSizeSet(5, 5))
return fFalse;
BitmapOn();
if (!fMaze) {
for (x = 1; x <= 3; x += 2)
for (y = 1; y <= 3; y++)
Set0(x, y);
Set0(2, 3);
} else {
for (y = 1; y <= 3; y += 2)
for (x = 1; x <= 3; x++)
Set0(x, y);
Set0(1, 2);
}
// Create each new generation from four copies of the original
for (i = 1; i < ms.zFractal; i++) {
b2.CopyFrom(*this);
w = b2.m_x - 1;
if (!FBitmapSizeSet((m_x << 1) - 1, (m_y << 1) - 1))
return fFalse;
BitmapOn();
if (!fMaze) {
for (y = 1; y < w; y++)
for (x = 1; x < w; x++)
if (!b2.Get(x, y)) {
Set0(y, x); // 1 transpose
Set0(x, w+y); // 2 normal
Set0(w+x, w+y); // 3 normal
Set0(m_x-1-y, x); // 4 transpose flipx
}
Set0(1, w); Set0(m_x-2, w);
Set0(w, w+1);
} else {
for (y = 1; y < w; y++)
for (x = 1; x < w; x++)
if (!b2.Get(x, y)) {
Set0(w-x, w-y); // 1 flipx flipy
Set0(y, m_y-1-x); // 2 transpose flipy
Set0(w+x, w+y); // 3 normal
Set0(m_x-1-y, x); // 4 transpose flipx
}
Set0(w, w-1); Set0(w, w+1);
Set0(1, w);
}
UpdateDisplay();
}
Set0(1, 0); Set0(m_x-2, !fMaze ? 0 : m_y-1);
} else {
// Create base case generation 1
if (!FCubeSizeSet(5, 5, 3, m_w3))
return fFalse;
BitmapOn();
for (x = 1; x <= 3; x += 2)
for (y = 1; y <= 3; y += 2) {
for (z = 0; z <= 2; z++)
Set30(x, y, z);
Set30(x, 2, 2);
}
Set30(2, 3, 0);
// Create each new generation from eight copies of the original
for (i = 1; i < ms.zFractal; i++) {
b2.CopyFrom(*this);
w = b2.m_x3 - 1;
if (!FCubeSizeSet((m_x3 << 1) - 1, (m_y3 << 1) - 1,
(m_z3 << 1) + 1, m_w3))
return fFalse;
BitmapOn();
for (z = 1; z < w; z++)
for (y = 1; y < w; y++)
for (x = 1; x < w; x++)
if (!b2.Get3(x, y, z-1)) {
Set30(z, y, x-1); // 1 transpose xz
Set30(m_x3-1-z, y, x-1); // 8 transpose xz flipx
Set30(w-z, w+y, x-1); // 4 transpose xz flipx
Set30(w+z, w+y, x-1); // 5 transpose xz
Set30(y, x, w+z-1); // 2 transpose xy
Set30(m_x3-1-y, x, w+z-1); // 7 transpose xy flipx
Set30(x, w+y, w+z-1); // 3 normal
Set30(w+x, w+y, w+z-1); // 6 normal
}
Set30(1, 1, w-1); Set30(m_x3-2, 1, w-1);
Set30(1, w, w); Set30(m_x3-2, w, w);
Set30(w-1, w+1, w-1); Set30(w+1, w+1, w-1);
Set30(w, w+1, 0);
UpdateDisplay();
}
Set30(1, 0, 0); Set30(m_x3-2, 0, 0);
}
return fTrue;
}
// Draw a tilt style Maze pattern in the bitmap, or a design formed by a grid
// of diagonal line segments, which randomly face one way or the other. This
// results in a bunch of unicursal passages, which either start and end on the
// edges, or are isolated passage loops within the pattern.
void CMaz::CreateMazeTilt()
{
int x, y, d, n = Max(NAbs(ms.nTiltSize), 1), f = ms.nTiltSize > 0;
BitmapOff();
for (y = yl; y <= yh-n+f; y += n)
for (x = xl; x <= xh-n+f; x += n) {
d = Rnd(0, 1);
if (ms.fTiltDiamond && d && x > xl && y > yl &&
Get(x-1, y-n) && Get(x, y-n) && Get(x-n, y))
d = fFalse;
LineZ(x + (d^1)*(n-f), y+n-f, y, d*2-1, fOn);
}
}
// Create a subsection of a virtual Labyrinth of the classical style, in which
// only part of the Labyrinth is rendered.
void CMaz::LabyrinthClassicalPartial(int zs, int m1, int n1)
{
int z2, z4, z8, m2, n2, x, y, x1, y1, x2, y2, i;
BitmapOff();
zs = (((zs << 2) + 3) << 1) + 1;
z2 = (zs + 1) >> 1; z4 = (zs + 1) >> 2; z8 = (zs + 1) >> 3;
m2 = m1 + (m_x >> 1); n2 = n1 + (m_y >> 1);
for (i = 0; i <= 1; i++) {
// Draw horizontal lines
for (y = n1; y <= n2; y++) {
if (!FBetween(y, 0, zs))
continue;
x1 = x2 = 0;
if (!i) {
if (y >= z2) {
x1 = zs - y; x2 = y;
} else if (y < z2-z8) {
x1 = y; x2 = z2;
if (y < z4)
x2 -= (z8 - NAbs(z8 - y) + 1);
else
x2 -= (y - z4);
}
} else {
if (y < z2-z8) {
x1 = z2; x2 = zs - y;
if (y < z4)
x1 += (z8 - NAbs(z8 - y) - (y >= z8)*2);
else
x1 += (y - z4 + 1);
}
}
x1 = NMax(x1 - m1, 0); x2 = NMin(x2 - m1, m_x);
if (x1 < x2)
LineX(x1 << 1, x2 << 1, (y - n1) << 1, fOn);
}
// Draw vertical lines
for (x = m1; x <= m2; x++) {
if (!FBetween(x, 0, zs))
continue;
y1 = y2 = 0;
if (!i) {
if (x >= z2) {
y1 = zs - x; y2 = x;
} else {
y1 = x; y2 = zs - x;
}
if (x >= z2-z8 && x <= z2+z8)
y1 -= (z8 - NAbs(z2 - x)) << 1;
} else {
if (x >= z2-z8 && x <= z2+z8) {
y1 = NAbs(z2 - x) - (x < z2);
y2 = z4 - NAbs(z2 - x) + 1 - (x >= z2)*3;
}
}
y1 = NMax(y1 - n1, 0); y2 = NMin(y2 - n1, m_y);
if (y1 < y2)
LineY((x - m1) << 1, y1 << 1, y2 << 1, fOn);
}
}
}
#define iStackMax (32 * 4)
#define VX2(x) (((x) < m1 ? -1 : ((x) > m2 ? m_x : (x)-m1))*2)
#define VY2(y) (((y) < n1 ? -1 : ((y) > n2 ? m_y : (y)-n1))*2)
#define SetRC2(m1, n1, m2, n2) \
rgrc[id].x1 = m1; rgrc[id].y1 = n1; rgrc[id].x2 = m2; rgrc[id].y2 = n2;
// Create a subsection of a virtual Labyrinth of the Hilbert curve style, in
// which only part of the Labyrinth is rendered.
void CMaz::LabyrinthHilbertPartial(int zFactor, int m1, int n1)
{
int rgd[iStackMax], id = 0, zs, m2, n2, x1, y1, x2, y2, x12, y12, d;
RC rgrc[iStackMax], rc;
flag fMaze = ms.fFractalI;
zs = 1 << zFactor;
m2 = m1 + (m_x >> 1); n2 = n1 + (m_y >> 1);
BitmapOff();
SetRC2(0, 0, zs, zs);
rgd[0] = 0;
// Do Edge(-m1*2, -n1*2, (zs-m1)*2, (zs-n1)*2) without overflowing 32 bits.
if (FBetween(0, n1, n2)) LineX(VX2(0), VX2(zs), VY2(0), fOn);
if (FBetween(0, m1, m2)) LineY(VX2(0), VY2(0), VY2(zs), fOn);
if (FBetween(zs, n1, n2)) LineX(VX2(0), VX2(zs), VY2(zs), fOn);
if (FBetween(zs, m1, m2)) LineY(VX2(zs), VY2(0), VY2(zs), fOn);
Set0(1-m1*2, -n1*2); Set0((zs-m1)*2-1, !fMaze ? -n1*2 : (zs-n1)*2);
// Continue while there's at least one square on the stack.
while (id >= 0) {
rc = rgrc[id];
if (rc.x2 - rc.x1 < 2 || rc.y2 - rc.y1 < 2 ||
rc.x1 > m2 || rc.x2 < m1 || rc.y1 > n2 || rc.y2 < n1 ||
id >= iStackMax) {
// If square is too small, or is outside visible viewport, skip it.
id--;
continue;
}
if (fCellMax)
break;
// Draw lines quadsecting the square into four subsquares.
x1 = rc.x1; y1 = rc.y1; x2 = rc.x2; y2 = rc.y2;
d = rgd[id];
x12 = (x1 + x2) >> 1; y12 = (y1 + y2) >> 1;
if (!fMaze) {
if (!FOdd(d)) {
LineX(VX2(x1 + 1), VX2(x2 - 1), VY2(y12), fOn);
LineY(VX2(x12), d < 1 ? VY2(y1) + 1 : VY2(y2) - 1, VY2(y12), fOn);
if (y2 - y1 > 2)
LineY(VX2(x12), VY2(y12 + (d < 1 ? 1 : -1)),
d < 1 ? VY2(y2) : VY2(y1), fOn);
} else {
LineY(VX2(x12), VY2(y1 + 1), VY2(y2 - 1), fOn);
LineX(d < 2 ? VX2(x1) + 1 : VX2(x2) - 1, VX2(x12), VY2(y12), fOn);
if (x2 - x1 > 2)
LineX(VX2(x12 + (d < 2 ? 1 : -1)), d < 2 ? VX2(x2) : VX2(x1),
VY2(y12), fOn);
}
} else {
if (!FOdd(d)) {
LineX(VX2(x1 + 1) - (d > 1), VX2(x2 - 1) + (d < 1), VY2(y12), fOn);
if (y2 - y1 > 2) {
LineY(VX2(x12), VY2(y1) + 1, VY2(y12 - 1), fOn);
LineY(VX2(x12), VY2(y2) - 1, VY2(y12 + 1), fOn);
}
} else {
LineY(VX2(x12), VY2(y1 + 1) - (d < 2), VY2(y2 - 1) + (d > 2), fOn);
if (x2 - x1 > 2) {
LineX(VX2(x1) + 1, VX2(x12 - 1), VY2(y12), fOn);
LineX(VX2(x2) - 1, VX2(x12 + 1), VY2(y12), fOn);
}
}
}
// Divide current square's coordinates and push four subsquares on stack.
if (!fMaze) {
SetRC2(x1, y1, x12, y12);
rgd[id++] = d + (d == 0) - (d == 1) & DIRS1;
SetRC2(x1, y12, x12, y2);
rgd[id++] = d + (d == 1) - (d == 2) & DIRS1;
SetRC2(x12, y12, x2, y2);
rgd[id++] = d + (d == 2) - (d == 3) & DIRS1;
SetRC2(x12, y1, x2, y12);
rgd[id] = d + (d == 3) - (d == 0) & DIRS1;
} else {
SetRC2(x1, y1, x12, y12);
rgd[id++] = d + (d == 3) - (d == 1) + (d == 0)*2 & DIRS1;
SetRC2(x1, y12, x12, y2);
rgd[id++] = d + (d == 0) - (d == 2) + (d == 1)*2 & DIRS1;
SetRC2(x12, y12, x2, y2);
rgd[id++] = d + (d == 1) - (d == 3) + (d == 2)*2 & DIRS1;
SetRC2(x12, y1, x2, y12);
rgd[id] = d + (d == 2) - (d == 0) + (d == 3)*2 & DIRS1;
}
}
}
#define iStackMax3 (32 * 8)
#define VX3(x) (((x) < m1 ? -1 : ((x) > m2 ? m_x3 : (x)-m1))*2)
#define VY3(y) (((y) < n1 ? -1 : ((y) > n2 ? m_y3 : (y)-n1))*2)
#define VZ3(z) (((z) < o1 ? -1 : ((z) > o2 ? m_z3 : (z)-o1))*2 - 1)
#define SetRC3(m1, n1, o1, m2, n2, o2) \
rgrc[id].x1 = m1; rgrc[id].y1 = n1; rgrc[id].z1 = o1; \
rgrc[id].x2 = m2; rgrc[id].y2 = n2; rgrc[id].z2 = o2;
#define SetRGD(xx, xy, xz, yx, yy, yz, zx, zy, zz) \
rgd[id][0] = xx; rgd[id][1] = xy; rgd[id][2] = xz; \
rgd[id][3] = yx; rgd[id][4] = yy; rgd[id][5] = yz; \
rgd[id][6] = zx; rgd[id][7] = zy; rgd[id][8] = zz;
// Create a subsection of a virtual 3D Labyrinth of the 3D Hilbert curve style,
// in which only part of the Labyrinth is rendered.
void CMaz::LabyrinthHilbertPartial3D(int zFactor, int m1, int n1, int o1)
{
int rgd[iStackMax3][9], id = 0, zs, m2, n2, o2, x1, y1, z1, x2, y2, z2,
x12, y12, z12, i, dw;
int xx, xy, xz, yx, yy, yz, zx, zy, zz;
RC3 rgrc[iStackMax3], rc;
zs = 1 << zFactor;
m2 = m1 + (m_x3 >> 1); n2 = n1 + (m_y3 >> 1); o2 = o1 + (m_z3 >> 1);
BitmapOff();
SetRC3(0, 0, 0, zs, zs, zs);
SetRGD(1, 0, 0, 0, 1, 0, 0, 0, 1);
// Draw boundary faces without overflowing 32 bits.
if (FBetween(0, o1, o2))
for (i = -o1*2-1; i <= -o1*2+1; i += 2)
CubeBlock(0, 0, i, m_x3-1, m_y3-1, i, fOn);
if (FBetween(zs, o1, o2))
CubeBlock(0, 0, (zs-o1)*2-1, m_x3-1, m_y3-1, (zs-o1)*2-1, fOn);
if (FBetween(0, n1, n2)) CubeBlock(VX3(0), VY3(0), VZ3(0),
VX3(zs), VY3(0), VZ3(zs), fOn);
if (FBetween(0, m1, m2)) CubeBlock(VX3(0), VY3(0), VZ3(0),
VX3(0), VY3(zs), VZ3(zs), fOn);
if (FBetween(zs, n1, n2)) CubeBlock(VX3(0), VY3(zs), VZ3(0),
VX3(zs), VY3(zs), VZ3(zs), fOn);
if (FBetween(zs, m1, m2)) CubeBlock(VX3(zs), VY3(0), VZ3(0),
VX3(zs), VY3(zs), VZ3(zs), fOn);
Set30(1-m1*2, -n1*2, -o1*2); Set30((zs-m1)*2-1, -n1*2, -o1*2);
// Continue while there's at least one cube on the stack.
while (id >= 0) {
rc = rgrc[id];
SortN((int *)&rc.x1, (int *)&rc.x2);
SortN((int *)&rc.y1, (int *)&rc.y2);
SortN((int *)&rc.z1, (int *)&rc.z2);
if (rc.x2 - rc.x1 < 2 || rc.y2 - rc.y1 < 2 || rc.z2 - rc.z1 < 2 ||
rc.x1 > m2 || rc.x2 < m1 || rc.y1 > n2 || rc.y2 < n1 ||
rc.z1 > o2 || rc.z2 < o1 || id >= iStackMax3) {
// If cube is too small, or is outside visible viewport, skip it.
id--;
continue;
}
if (fCellMax)
break;
// Draw planes dividing the cube into eight subcubes.
x1 = rc.x1; y1 = rc.y1; z1 = rc.z1; x2 = rc.x2; y2 = rc.y2; z2 = rc.z2;
xx = rgd[id][0]; xy = rgd[id][1]; xz = rgd[id][2];
yx = rgd[id][3]; yy = rgd[id][4]; yz = rgd[id][5];
zx = rgd[id][6]; zy = rgd[id][7]; zz = rgd[id][8];
x12 = (x1 + x2) >> 1; y12 = (y1 + y2) >> 1; z12 = (z1 + z2) >> 1;
dw = (x2 - x1) >> 1;
CubeBlock(VX3(x12), VY3(y1), VZ3(z1),
VX3(x12), VY3(y2), VZ3(z2), fOn);
CubeBlock(VX3(x1), VY3(y12), VZ3(z1),
VX3(x2), VY3(y12), VZ3(z2), fOn);
CubeBlock(VX3(x1), VY3(y1), VZ3(z12),
VX3(x2), VY3(y2), VZ3(z12), fOn);
for (i = -1; i <= 1; i += 2) {
//Set30(VX3(x12-i*dw)+i, VY3(y12-dw)+1, VZ3(z12));
Set30(VX3(x12-(xx*i+xy)*dw)+xx*i+xy, VY3(y12-(yx*i+yy)*dw)+yx*i+yy,
VZ3(z12-(zx*i+zy)*dw)+zx*i+zy);
//Set30(VX3(x12-i*dw)+i, VY3(y12), VZ3(z12)+1);
Set30(VX3(x12-xx*i*dw)+xx*i+xz, VY3(y12-yx*i*dw)+yx*i+yz,
VZ3(z12-zx*i*dw)+zx*i+zz);
//Set30(VX3(x12)-i, VY3(y12)+1, VZ3(z12));
Set30(VX3(x12)-xx*i+xy, VY3(y12)-yx*i+yy, VZ3(z12)-zx*i+zy);
}
//Set30(VX3(x12), VY3(y12)+1, VZ3(z12-dw)+1);
Set30(VX3(x12-xz*dw)+xy+xz, VY3(y12-yz*dw)+yy+yz, VZ3(z12-zz*dw)+zy+zz);
// Divide current cube's coordinates and push eight subcubes on stack.
for (i = -1; i <= 1; i += 2) {
//SetRC3(x12, y12, z12, x12+i*dw, y12-dw, z12-dw);
SetRC3(x12, y12, z12,
x12+(xx*i-xy-xz)*dw, y12+(yx*i-yy-yz)*dw, z12+(zx*i-zy-zz)*dw);
SetRGD(xz, xy, xx*-i, yz, yy, yx*-i, zz, zy, zx*-i); // transpose xz
id++;
//SetRC3(x12, y12, z12, x12+i*dw, y12-dw, z12+dw);
SetRC3(x12, y12, z12,
x12+(xx*i-xy+xz)*dw, y12+(yx*i-yy+yz)*dw, z12+(zx*i-zy+zz)*dw);
SetRGD(xy, xx*-i, xz, yy, yx*-i, yz, zy, zx*-i, zz); // transpose xy
id++;
//SetRC3(x12, y12, z12, x12+i*dw, y12+dw, z12+dw);
SetRC3(x12, y12, z12,
x12+(xx*i+xy+xz)*dw, y12+(yx*i+yy+yz)*dw, z12+(zx*i+zy+zz)*dw);
SetRGD(xx*-i, xy, xz, yx*-i, yy, yz, zx*-i, zy, zz); // normal
id++;
//SetRC3(x12, y12, z12, x12+i*dw, y12+dw, z12-dw);
SetRC3(x12, y12, z12,
x12+(xx*i+xy-xz)*dw, y12+(yx*i+yy-yz)*dw, z12+(zx*i+zy-zz)*dw);
SetRGD(xz, xy, -xx*-i, yz, yy, -yx*-i, zz, zy, -zx*-i); // trans xz flipx
id++;
}
id--;
}
}
// Center a grid of cells within a bitmap. Return the largest pixel size of a
// cell able to fit within the grid, along with the pixel coordinates of the
// upper left corner of the grid.
flag CMaz::FCenterCells(int xn, int yn, int *px0, int *py0, int *pzs)
{
char sz[cchSzMax];
int x0, y0, xs, ys, zs, x, y;
// If bitmap is too small to fit 2x2 pixel cells, resize it large enough.
xs = xn*2 + 1; ys = yn*2 + 1;
x = Max(m_x, xs); y = Max(m_y, ys);
if (!FBitmapSizeSet(x, y))
return fFalse;
// Compute pixel size of cells, and upper left corner of grid.
xs = (m_x - 1) / xn; ys = (m_y - 1) / yn;
zs = Min(xs, ys);
x0 = (m_x - zs * xn) >> 1; y0 = (m_y - zs * yn) >> 1;
*px0 = x0; *py0 = y0; *pzs = zs;
// Also clear the bitmap and prepare for drawing on it.
BitmapOff();
sprintf(S(sz), "_BM%d,%dS%dO%d", x0, y0, zs, ms.lcs < lcsSquare);
Turtle(sz);
return fTrue;
}
// Draw one of several different styles of unicursal Maze or Labyrinth
// patterns in the bitmap.
flag CMaz::CreateLabyrinth()
{
char sz[cchSzMax];
int nLaby = ms.nLabyrinth, c = ms.nClassical,
x0, y0, zs, xn, yn, x1, y1, x, y, x2, y2, i, j, k, l, m, n;
if (nLaby == ltClassical && ms.lcs == lcsSquare && ms.lcc == lccMerged)
nLaby = ltPartial;
else if (nLaby == ltClassical && (ms.lcs == lcsRound || ms.lcs == lcsSquare))
nLaby = ltClassicalF;
else if ((nLaby == ltChartres || nLaby == ltChartresR) && ms.lcs == lcsFlat)
nLaby = ltChartresF;
switch (nLaby) {
case ltClassical: xn = 14 + c*16; yn = 13 + c*14; break; // Classical
case ltChartres: xn = yn = 28; break; // Chartres
case ltCretan: xn = yn = 58; break; // Cretan
case ltManInMaze: xn = yn = 16 + c*2 + c*8; break; // Man in the Maze
case ltClassicalF: xn = 30; yn = 27; break; // Flat Classical
case ltChartresF: xn = 18; yn = 11; break; // Flat Chartres
case ltChartresR: return CreateLabyrinthChartres();
case ltCustom: return CreateLabyrinthCustom();
case ltPartial: LabyrinthClassicalPartial(ms.nClassical, 0, 0);
return fTrue;
default:
Assert(fFalse);
}
if (!FCenterCells(xn, yn, &x0, &y0, &zs))
return fFalse;
switch (nLaby) {
case ltClassical: // Classical seven circuit Labyrinth.
if (c == 1) {
Turtle(
"BR10BD15OA5OC5OE2L2U2OHOFD8OD4OB12OH15OF15OD10OB2U2L2OG6OA11OC11OE8"
"BU8OH3OF3D2L2OG2OA7OC7OE4L8OG4OA9OC9OE6L2D2OD2OB10OH13OF13OD8");
ms.xEntrance = x0 + zs*13; ms.yEntrance = y0 + zs*24;
} else {
j = (c + 1) * 2;
sprintf(S(sz), "BR%dBD%dNU%dNL%dND%dNR%d",
6 + c*8, 9 + c*10, j, j, j, j);
Turtle(sz);
for (i = 1; i <= c; i++) {
j = i*2; k = (c + 1) * 2 - j;
sprintf(S(sz), "BE%dNU%dNR%dBD%dNR%dND%dBL%dND%dNL%dBU%dNL%dNU%dBF%d",
k, j, j, k*2, j, j, k*2, j, j, k*2, j, j, k); Turtle(sz);
}
sprintf(S(sz), "BRBU%d", (c + 1) * 2); Turtle(sz);
for (i = 0; i < 4 + c*4; i++) {
j = i*2 + 1;
sprintf(S(sz), "BL%dOA%dOC%dBL%d", j, j, j, j); Turtle(sz);
}
sprintf(S(sz), "BR%d", 1 + c*2); Turtle(sz);
for (i = 0; i < 3 + c*3; i++) {
j = i*2 + 2;
sprintf(S(sz), "BR%dOE%dBU%d", j, j, j); Turtle(sz);
}
sprintf(S(sz), "BL%d", 4 + c*4); Turtle(sz);
for (i = 0; i < 2 + c*3; i++) {
j = i*2 + 2;
sprintf(S(sz), "BD%dOG%dBR%d", j, j, j); Turtle(sz);
}
sprintf(S(sz), "BF%d", 4 + c*4); Turtle(sz);
for (i = 0; i < 1 + c; i++) {
j = i*2 + 2;
sprintf(S(sz), "BD%dOG%dBR%d", j, j, j); Turtle(sz);
}
sprintf(S(sz), "BL%d", 4 + c*4); Turtle(sz);
for (i = 0; i < c; i++) {
j = i*2 + 2;
sprintf(S(sz), "BR%dOE%dBU%d", j, j, j); Turtle(sz);
}
ms.xEntrance = x0 + zs*(5 + c*8); ms.yEntrance = y0 + zs*(11 + c*13);
}
break;
case ltChartres: // Chartres Cathedral Labyrinth.
Turtle("BR14BD17ND11L2OGU4OAR2NU2R2OCD4OELND4BLBG");
Turtle("ND4LOG2U4OA2RBR2ROC2D2NR2D2OE2BL4BD");
Turtle("OG3U2NL2U2OA3R4OC3DBD2DOE3LBLBG");
Turtle("LOG4UBU2UOA4R2NU2R2OC4D4OE4BL4BD");
Turtle("OG5U4OA5RBR2ROC5D2NR2D2OE5LBLBG");
Turtle("LOG6U2NL2U2OA6R4OC6DBD2DOE6L2BD");
Turtle("L2OG7UBU2UOA7R2NU2R2OC7D4OE7LND4BLBG");
Turtle("ND4LOG8U4OA8RBR2ROC8D2NR2D2OE8BL4BD");
Turtle("OG9U2NL2U2OA9R4OC9DBD2DOE9LBLBG");
Turtle("LOG10UBU2UOA10R2NU2R2OC10D4OE10BL4BD");
Turtle("OG11U4OA11RBR2ROC11D4OE11LBLBG");
Turtle("LOG12U4OA12R4OC12D4OE12L2");
ms.xEntrance = x0 + (zs*27 >> 1); ms.yEntrance = y0 + zs*28;
break;
case ltCretan: // Cretan Labyrinth.
Turtle("BR28BD38ND4L6OG2U14OA2R14OC2D14OE2L6ND20BL4BD2");
Turtle("L4OG4U7NL4U7OA4R14OC4D7NR4D7OE4L4BL4BD2");
Turtle("L6OG6U5BU4U5OA6R7NU4R7OC6D5BD4D5OE6L6BD2");
Turtle("L8OG8U14OA8R5BR4R5OC8D14OE8L4ND8BL4BD2");
Turtle("ND12L6OG10U7NL4U7OA10R14OC10D7NR4D7OE10L2BL8BD2");
Turtle("ND8L4OG12U5BU4U5OA12R7NU4R7OC12D5BD4D5OE12L4BL8BD2");
Turtle("ND4L2OG14U14OA14R5BR4R5OC14D14OE14L2BL12BD2");
Turtle("OG16U7NL4U7OA16R14OC16D7NR4D7OE16L4BL8BD2");
Turtle("L2OG18U5BU4U5OA18R7NU4R7OC18D5BD4D5OE18L6BL4BD2");
Turtle("L4OG20U14OA20R5BR4R5OC20D14OE20L4BL4BD2");
Turtle("L6OG22U14OA22R14OC22D14OE22L6");
ms.xEntrance = x0 + zs*29; ms.yEntrance = y0 + zs*58;
break;
case ltManInMaze: // Man in the Maze Labyrinth.
l = 8 + c*8; m = (64 / l + ((64 % l) > 0)) << 1;
if (m < 1 || ms.lcs >= lcsSquare)
m = 1;
if (FOdd(m))
m++;
n = l * m;
x1 = x0 + (xn >> 1) * zs; y1 = y0 + (yn >> 1) * zs;
j = zs*(1+c);
ArcPolygon(x1, y1, j, j, 1, n+1, ms.lcs < lcsFlat ? 2 : n/4, n, fOn);
for (i = 0; i < c; i++)
for (j = 0; j < 4; j++) {
ArcPolygon(x1, y1, zs*(2+c + i), zs*(2+c + i),
n/8 + m/2 - m*(c-i) + j*(n/4), n/8 + m/2 + m*(c-i) + j*(n/4),
ms.lcs < lcsFlat ? 2 : m*(c-i)*2, n, fOn);
}
for (i = 0; i < 4 + c*4; i++) {
j = m/2 + i*m;
ArcPolygon(x1, y1, zs*(5+c + i), zs*(5+c + i),
n/4 - j, n/4 + j, 2, n, fOn);
}
for (i = 0; i < l; i++) {
j = i*m - n/4 + m/2;
k = i % (l/8);
if (i / (l/8) & 1)
k = l/8 - k;
k = zs*(1+c + k);
AngleR(&x, &y, x1, y1, (real)k, (real)k, (real)j * rDegMax / (real)n);
k = zs*(5+c + NAbs(i - l/2) - (i < l/2));
AngleR(&x2, &y2, x1, y1, (real)k, (real)k, (real)j * rDegMax / (real)n);
Line(x, y, x2, y2, fOn);
}
ms.xEntrance = x1; ms.yEntrance = y1 - zs*(8 + c*5);
break;
case ltClassicalF: // Flat Classical seven circuit Labyrinth.
Turtle(
"BR10BD17U2OA5OC5D2L4U2OHOFD12R16U12OH15OF15D12R12U4L8U8OA11OC11D8L8");
Turtle(
"BU8OH3OF3D4L4U4OA7OC7D4L8BD2L8U6OA9OC9D6L8D4R12U10OH13OF13D10R8");
ms.xEntrance = x0 + zs*13; ms.yEntrance = y0 + zs*27;
break;
case ltChartresF: // Flat Chartres Cathedral Labyrinth.
Turtle("D11BEU4BU2U4BR4BDD2BDD2BDD2BR4ND2BUU2BUU2BUU2");
Turtle("BR4BD2D2BDD2BDD2BR4BDU4BU2U4BED11");
Turtle("BLL17BER7BR2R6BEL3BL2L10BHR3BR2R10BEL7BL2L6BHR11BR2R4");
Turtle("BHL11BL2L4BER7BR2R6BEL3BL2L10BHR3BR2R10BEL7BL2L6BHR17");
ms.xEntrance = x0 + (zs >> 1); ms.yEntrance = y0;
break;
}
return fTrue;
}
// Draw the Chartres Cathedral Labyrinth pattern, in the right proportions and
// with extra decorations making it a true replica of the Chartres Cathedral
// Labyrinth. Draws a more accurate version than in CreateLabyrinth().
flag CMaz::CreateLabyrinthChartres()
{
int x0, y0, xs, ys, zs, zn, i, j, e1, e2;
real r, d1, d2, r1, r2, d, rc, x, y, x1, y1, x2, y2, x3, y3, x4, y4;
zn = 62; xs = ys = zn * 2;
x0 = Max(m_x, xs); y0 = Max(m_y, ys);
if (!FBitmapSizeSet(x0, y0))
return fFalse;
xs = m_x / zn; ys = m_y / zn; zs = Min(xs, ys);
x0 = m_x >> 1; y0 = m_y >> 1;
BitmapOff();
// Draw concentric rings.
for (i = 0; i < 12; i++)
for (j = 0; j < 4; j++) {
e1 = e2 = 0;
switch (j) {
case 0:
e1++;
if (i > 0 && i != 6)
e1 += (2 - (i & 1)) << 1;
if (i > 0 && i % 3 == 0)
e2 += 2;
break;
case 1:
if (i > 0 && i % 3 == 0)
e1 += 2;
if ((i + 2) % 3 == 0)
e2 += 2;
break;
case 2:
if ((i + 2) % 3 == 0)
e1 += 2;
if (i < 11 && (i + 1) % 3 == 0)
e2 += 2;
break;
case 3:
e2--;
if (i < 11 && (i + 1) % 3 == 0)
e1 += 2;
if (i != 5 && i < 11)
e2 += (1 + (i & 1)) << 1;
break;
}
r = (real)((7 + i*2) * zs);
d1 = ((real)j / 4.0 + 0.25) * rDegMax;
if (d1 >= rDegMax)
d1 -= rDegMax;
d2 = d1 + rDegQuad;
x = (real)(zs * e1); y = (real)(zs * e2);
if (e1 > (j == 0) << 2)
x += (real)zs / rPhi;
if (e2 > (int)(j == 3))
y += (real)zs / rPhi;
d1 += RAsinD(x / r); d2 -= RAsinD(y / r);
ArcReal((real)x0, (real)y0, r, d1, d2, fOn);
if (ms.lcs >= lcsSquare)
continue;
// Draw curves around U-turns and corners.
if ((e1 > (j == 0) << 2) || (j == 0 && (i == 1 || i == 5 || i == 7))) {
PlotAngle(x1, y1, x0, y0, r, d1);
d = d1 - rDegHalf;
if (j == 0) {
if (i == 5)
d = 0.0;
else if (i == 1 || i == 7)
d1 = 0.0;
}
ArcReal(x1, y1, (real)(zs*2), d, d1, fOn);
}
if ((e2 > (int)(j == 3)) || (j == 3 && (i == 4 || i == 6 || i == 10))) {
PlotAngle(x1, y1, x0, y0, r, d2);
d = d2 + rDegHalf;
if (j == 3) {
if (i == 6)
d2 = rDegHalf;
else if (i == 4 || i == 10)
d = rDegHalf;
}
ArcReal(x1, y1, (real)(zs*2), d2, d, fOn);
}
}
// Draw straight lines.
for (i = 0; i < 3; i++) {
LineX(x0 - (27 - i*6)*zs, x0 - (23 - i*6)*zs, y0, fOn);
LineX(x0 + (9 + i*6)*zs, x0 + (13 + i*6)*zs, y0, fOn);
}
for (i = 0; i < 4; i++)
LineY(x0, y0 - (29 - i*6)*zs, y0 - (25 - i*6)*zs, fOn);
LineY(x0 - zs, y0 + NSqr(Sq(7*zs)-Sq(zs)),
y0 + NSqr(Sq(29*zs)-Sq(zs)), fOn);
for (i = 9; i <= 21; i += 12)
LineY(x0 - zs*3, y0 + NSqr(Sq(i*zs)-Sq(zs*3)),
y0 + NSqr(Sq((i + 8)*zs)-Sq(zs*3)), fOn);
for (i = 7; i <= 19; i += 12)
LineY(x0 + zs, y0 + NSqr(Sq(i*zs)-Sq(zs)),
y0 + NSqr(Sq((i + 8)*zs)-Sq(zs)), fOn);
if (ms.lcs >= lcsRound)
return fTrue;
// Draw lunations around the circumference.
r1 = (real)(29*zs) + 1.0;
r2 = (real)zs * 0.67;
for (i = 1; i <= 114; i++) {
d = rDegQuad + ((real)i - 0.5) * rDegMax / 114.0 + RAsinD(2.0 / 29.0);
if (d > rDegMax)
d -= rDegMax;
PlotAngle(x1, y1, x0, y0, r1+r2, d);
d1 = d + 60.0; d2 = d + 300.0;
if (i == 1)
d2 = rDegHalf + RAcosD((x1 - (x0 - (real)(zs*3))) / r2);
else if (i == 114)
d1 = rDegMax - RAcosD(((x0 - (real)zs) - x1) / r2);
ArcReal(x1, y1, r2, d1, d2, fOn);
PlotAngle(x, y, x1, y1, r2, d2);
if (i > 1)
Line((int)x2, (int)y2, (int)x, (int)y, fOn);
PlotAngle(x2, y2, x1, y1, r2, d1);
if (i == 1)
LineY(x0 - zs*3, y0 + zs*28, (int)y, fOn);
else if (i == 114)
LineY(x0 - zs, y0 + zs*28, (int)y2, fOn);
}
// Draw rosette in the center.
d = rDegMax / 13.0;
r1 = (real)(7*zs);
d1 = r1 * RTanD(d);
r2 = RSqr(Sq(r1) + Sq(d1));
d2 = r2 - d1;
rc = d2 * RTanD(d);
r = r1 - rc;
r2 = (real)zs * 0.33;
for (i = -5; i <= 5; i += 2) {
d1 = rDeg34 + (real)i / 13.0 * rDegMax;
PlotAngle(x1, y1, x0, y0, r, d1);
d2 = d1 - rDegQuad - d;
ArcReal(x1, y1, rc, d2, d1 + rDegQuad + d, fOn);
PlotAngle(x3, y3, x1, y1, rc, d2);
if (i == -5) {
LineY(x0 - zs, (int)(y3 - r2), y0 + 7*zs, fOn);
LineY(x0 + zs, (int)(y3 - r2), y0 + 7*zs, fOn);
LineX(x0 - zs - (int)r2, x0 - zs, (int)y3, fOn);
LineX(x0 + zs, x0 + zs + (int)r2, (int)y3, fOn);
} else {
d2 = d1 - d;
for (j = 90; j <= nDegMax; j += 90) {
PlotAngle(x4, y4, x3, y3, r2, d2 + (real)j);
Line((int)x3, (int)y3, (int)x4, (int)y4, fOn);
}
}
}
ms.xEntrance = x0 - zs*2; ms.yEntrance = y0 + zs*30;
return fTrue;
}
CONST char *szClassical = "3214765";
CONST char *szPerfect = "349852167";
// Copy a range of characters to a string that's valid for the Custom Paths
// Labyrinth field, translating if needed.
flag FCopyRgchToSzCustom(CONST char *pch, int cch, char *sz)
{
int n, ich, nT, nMode, iBase = 0;
char ch;
// Simple strings that don't start with "=" are directly copied
if (pch[0] != '=') {
if (sz != pch)
CopyRgchToSz(pch, cch, sz, cchSzDef);
return fTrue;
}
// For complex strings, search for a sequence of macros to translate
pch++;
loop {
// Translate "=Classical" to the classical 7 circuit Labyrinth
// Translate "=Perfect" to the perfect 9 circuit Labyrinth
// Translate "'X" to simple circuit sequence (offset to current position)
// Translate "=X" to "123...X" for the first/simplest X circuit Labyrinth
// Translate "=-X" to "X...321" for the last X circuit Labyrinth
// Translate "=@X" to single spiral e.g. "7254361" for X circuit Labyrinth
if (FCompareSzRgchI("Classical", pch, 9)) {
nMode = 3;
n = 7;
pch += 9;
} else if (FCompareSzRgchI("Perfect", pch, 7)) {
nMode = 4;
n = 9;
pch += 7;
} else if (*pch == '\'') {
nMode = 2;
for (n = 0, pch++; FDigitCh(*pch); n++, pch++)
;
} else {
switch (*pch) {
case '-': nMode = -1; break;
case '@': nMode = 1; break;
default: nMode = 0; break;
}
if (nMode != 0)
pch++;
n = atoi(pch);
while (FDigitCh(*pch))
pch++;
}
if ((n <= 0 && *pch != '0') || iBase + n > iCircuitMax)
return fFalse;
for (ich = 0; ich < n; ich++) {
if (nMode == 4)
nT = szPerfect[ich] - '1';
else if (nMode == 3)
nT = szClassical[ich] - '1';
else if (nMode == 2)
nT = pch[ich-n] - '1';
else if (nMode == 0 || (nMode == 1 && FOdd(ich)))
nT = ich;
else {
if (FOdd(n))
nT = n-1 - ich;
else
nT = ich < n-1 ? n-2 - ich : n-1;
}
nT += iBase;
ch = nT < 9 ? '1' + nT : 'A' + nT - 9;
sz[iBase + ich] = ch;
}
iBase += n;
if (*pch == chNull)
break;