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Antaeus.py
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Antaeus.py
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#!/usr/bin/env python3
import math
import random
import cmath
# Civ4-only Stuff
if __name__ != "__main__":
from CvPythonExtensions import *
import CvUtil
import CvMapGeneratorUtil
from CvMapGeneratorUtil import FractalWorld
from CvMapGeneratorUtil import TerrainGenerator
from CvMapGeneratorUtil import FeatureGenerator
def getDescription():
return "Antaeus Map Generator: a combination of various fun and unpredictable generators."
def isAdvancedMap():
"This map should show up in simple mode"
return 0
def getNumCustomMapOptions():
return 4
def getCustomMapOptionName(argsList):
selection_names = {0: "type of map", 1: "type of generator", 2: "symmetry", 3: "distribution of climate"}
translated_text = unicode(CyTranslator().getText(selection_names[argsList[0]], ()))
return translated_text
def getNumCustomMapOptionValues(argsList):
selection_names = {
0: 3,
1: 4,
2: 10,
3: 6,
}
return selection_names[argsList[0]]
def getCustomMapOptionDescAt(argsList):
selection_names = {
0: ["Flat", "Cylindrical", "Toroid"],
1: ["IID", "Fractal Land", "Riveria", "Shader"],
2: [
"None",
"2-Rotational",
"3-Rotational",
"4-Rotational",
"5-Rotational",
"Bilateral",
"2-Dihedral",
"3-Dihedral",
"4-Dihedral (experimental)",
"5-Dihedral (experimental)",
],
3: ["Default", "Global", "North Hemisphere", "Fractal", "Regional", "Regional Fractal"],
}
translated_text = unicode(CyTranslator().getText(selection_names[argsList[0]][argsList[1]], ()))
return translated_text
def getCustomMapOptionDefault(argsList):
[iOption] = argsList
option_defaults = {
0: 1,
1: 1,
2: 0,
3: 0,
}
return option_defaults[iOption]
def isRandomCustomMapOption(argsList):
[iOption] = argsList
option_random = {
0: true,
1: true,
2: true,
3: true,
}
return option_random[iOption]
def getMapType():
return CyMap().getCustomMapOption(0)
def getGeneratorType():
return CyMap().getCustomMapOption(1)
def getSymmetryType():
SymmetryList = {
0: 0,
1: 2,
2: 3,
3: 4,
4: 5,
5: -1,
6: -2,
7: -3,
8: -4,
9: -5,
}
return SymmetryList[CyMap().getCustomMapOption(2)]
def getClimateType():
if CyMap().getCustomMapOption(3) == 0:
if getMapType() == 0:
return 3
elif getMapType() == 1:
return 0
else:
return 4
else:
return CyMap().getCustomMapOption(3) - 1
def getWrapX():
return getMapType() == 1 or getMapType() == 2
def getWrapY():
return getMapType() == 2
def getGridSize(argsList):
# Reduce grid sizes by one level.
grid_sizes = {
WorldSizeTypes.WORLDSIZE_DUEL: (6, 4),
WorldSizeTypes.WORLDSIZE_TINY: (8, 5),
WorldSizeTypes.WORLDSIZE_SMALL: (10, 6),
WorldSizeTypes.WORLDSIZE_STANDARD: (13, 8),
WorldSizeTypes.WORLDSIZE_LARGE: (16, 10),
WorldSizeTypes.WORLDSIZE_HUGE: (21, 13),
}
if argsList[0] == -1: # (-1,) is passed to function on loads
return []
[eWorldSize] = argsList
return grid_sizes[eWorldSize]
class IIDPlotGenerator(CvMapGeneratorUtil.FractalWorld):
def __init__(
self, fracXExp=CyFractal.FracVals.DEFAULT_FRAC_X_EXP, fracYExp=CyFractal.FracVals.DEFAULT_FRAC_Y_EXP
):
self.gc = CyGlobalContext()
self.map = self.gc.getMap()
self.iNumPlotsX = self.map.getGridWidth()
self.iNumPlotsY = self.map.getGridHeight()
self.mapRand = self.gc.getGame().getMapRand()
self.iFlags = self.map.getMapFractalFlags()
self.plotTypes = [PlotTypes.PLOT_OCEAN] * (self.iNumPlotsX * self.iNumPlotsY)
self.fracXExp = fracXExp
self.fracYExp = fracYExp
# init User Input variances
self.seaLevelChange = self.gc.getSeaLevelInfo(self.map.getSeaLevel()).getSeaLevelChange()
self.seaLevelMax = 100
self.seaLevelMin = 0
self.hillGroupOneRange = self.gc.getClimateInfo(self.map.getClimate()).getHillRange()
self.hillGroupOneBase = 25
self.hillGroupTwoRange = self.gc.getClimateInfo(self.map.getClimate()).getHillRange()
self.hillGroupTwoBase = 75
self.peakPercent = self.gc.getClimateInfo(self.map.getClimate()).getPeakPercent()
self.stripRadius = 15
def initFractal(self):
"For no rifts, use rift_grain = -1"
return
def generatePlotTypes(self, water_percent=34, shift_plot_types=True, grain_amount=3):
# Check for changes to User Input variances.
self.checkForOverrideDefaultUserInputVariances()
water_percent = clip(water_percept + self.seaLevelChange, self.seaLevelMin, self.seaLevelMax)
for x in range(self.iNumPlotsX):
for y in range(self.iNumPlotsY):
i = y * self.iNumPlotsX + x
if self.mapRand.get(100, "Generate Plot Types PYTHON") < water_percent:
self.plotTypes[i] = PlotTypes.PLOT_OCEAN
elif self.mapRand.get(100, "Generate Plot Types PYTHON") >= self.hillGroupTwoRange * 4:
self.plotTypes[i] = PlotTypes.PLOT_LAND
elif self.mapRand.get(100, "Generate Plot Types PYTHON") < self.peakPercent:
self.plotTypes[i] = PlotTypes.PLOT_PEAK
else:
self.plotTypes[i] = PlotTypes.PLOT_HILLS
return self.plotTypes
class PostprocessPlotGenerator(CvMapGeneratorUtil.FractalWorld):
def __init__(
self, fracXExp=CyFractal.FracVals.DEFAULT_FRAC_X_EXP, fracYExp=CyFractal.FracVals.DEFAULT_FRAC_Y_EXP
):
self.gc = CyGlobalContext()
self.map = self.gc.getMap()
self.iNumPlotsX = self.map.getGridWidth()
self.iNumPlotsY = self.map.getGridHeight()
self.mapRand = self.gc.getGame().getMapRand()
self.iFlags = self.map.getMapFractalFlags()
self.plotTypes = [PlotTypes.PLOT_OCEAN] * (self.iNumPlotsX * self.iNumPlotsY)
self.fracXExp = fracXExp
self.fracYExp = fracYExp
self.continentsFrac = CyFractal()
self.hillsFrac = CyFractal()
self.peaksFrac = CyFractal()
# init User Input variances
self.seaLevelChange = self.gc.getSeaLevelInfo(self.map.getSeaLevel()).getSeaLevelChange()
self.seaLevelMax = 100
self.seaLevelMin = 0
self.hillGroupOneRange = self.gc.getClimateInfo(self.map.getClimate()).getHillRange()
self.hillGroupOneBase = 25
self.hillGroupTwoRange = self.gc.getClimateInfo(self.map.getClimate()).getHillRange()
self.hillGroupTwoBase = 75
self.peakPercent = self.gc.getClimateInfo(self.map.getClimate()).getPeakPercent()
self.stripRadius = 15
def generatePlotTypes(self, mapData, water_percent=78, shift_plot_types=True, grain_amount=3):
# Check for changes to User Input variances.
self.checkForOverrideDefaultUserInputVariances()
self.hillsFrac.fracInit(
self.iNumPlotsX, self.iNumPlotsY, grain_amount, self.mapRand, self.iFlags, self.fracXExp, self.fracYExp
)
self.peaksFrac.fracInit(
self.iNumPlotsX,
self.iNumPlotsY,
grain_amount + 1,
self.mapRand,
self.iFlags,
self.fracXExp,
self.fracYExp,
)
water_percent = clip(water_percent + self.seaLevelChange, self.seaLevelMin, self.seaLevelMax)
iWaterThreshold = self.continentsFrac.getHeightFromPercent(water_percent)
iHillsBottom1 = self.hillsFrac.getHeightFromPercent(
max((self.hillGroupOneBase - self.hillGroupOneRange), 0)
)
iHillsTop1 = self.hillsFrac.getHeightFromPercent(min((self.hillGroupOneBase + self.hillGroupOneRange), 100))
iHillsBottom2 = self.hillsFrac.getHeightFromPercent(
max((self.hillGroupTwoBase - self.hillGroupTwoRange), 0)
)
iHillsTop2 = self.hillsFrac.getHeightFromPercent(min((self.hillGroupTwoBase + self.hillGroupTwoRange), 100))
iPeakThreshold = self.peaksFrac.getHeightFromPercent(self.peakPercent)
for x in range(self.iNumPlotsX):
for y in range(self.iNumPlotsY):
i = y * self.iNumPlotsX + x
val = self.continentsFrac.getHeight(x, y)
if (val <= iWaterThreshold or mapData[i] == " ") and (
mapData[i] != "*" and mapData[i] != "." and mapData[i] != "+" and mapData[i] != "#"
):
self.plotTypes[i] = PlotTypes.PLOT_OCEAN
else:
if mapData[i] == ".":
self.plotTypes[i] = PlotTypes.PLOT_LAND
elif mapData[i] == "+":
self.plotTypes[i] = PlotTypes.PLOT_HILLS
elif mapData[i] == "#":
self.plotTypes[i] = PlotTypes.PLOT_PEAK
else:
# '*': a wildcard grid for any land type
hillVal = self.hillsFrac.getHeight(x, y)
if (hillVal >= iHillsBottom1 and hillVal <= iHillsTop1) or (
hillVal >= iHillsBottom2 and hillVal <= iHillsTop2
):
peakVal = self.peaksFrac.getHeight(x, y)
if peakVal <= iPeakThreshold:
self.plotTypes[i] = PlotTypes.PLOT_PEAK
else:
self.plotTypes[i] = PlotTypes.PLOT_HILLS
else:
self.plotTypes[i] = PlotTypes.PLOT_LAND
if shift_plot_types:
self.shiftPlotTypes()
return self.plotTypes
class YYTerrainGenerator(CvMapGeneratorUtil.TerrainGenerator):
def __init__(
self,
iDesertPercent=32,
iPlainsPercent=18,
fSnowLatitude=0.7,
fTundraLatitude=0.6,
fGrassLatitude=0.1,
fDesertBottomLatitude=0.2,
fDesertTopLatitude=0.5,
fracXExp=-1,
fracYExp=-1,
grain_amount=4,
):
self.gc = CyGlobalContext()
self.map = CyMap()
grain_amount += self.gc.getWorldInfo(self.map.getWorldSize()).getTerrainGrainChange()
self.grain_amount = grain_amount
self.iWidth = self.map.getGridWidth()
self.iHeight = self.map.getGridHeight()
self.mapRand = self.gc.getGame().getMapRand()
self.iFlags = 0 # Disallow FRAC_POLAR flag, to prevent "zero row" problems.
if self.map.isWrapX():
self.iFlags += CyFractal.FracVals.FRAC_WRAP_X
if self.map.isWrapY():
self.iFlags += CyFractal.FracVals.FRAC_WRAP_Y
self.deserts = CyFractal()
self.plains = CyFractal()
self.variation = CyFractal()
self.variationx = CyFractal()
self.variationy = CyFractal()
iDesertPercent += self.gc.getClimateInfo(self.map.getClimate()).getDesertPercentChange()
iDesertPercent = min(iDesertPercent, 100)
iDesertPercent = max(iDesertPercent, 0)
self.iDesertPercent = iDesertPercent
self.iPlainsPercent = iPlainsPercent
self.iDesertTopPercent = 100
self.iDesertBottomPercent = max(0, int(100 - iDesertPercent))
self.iPlainsTopPercent = 100
self.iPlainsBottomPercent = max(0, int(100 - iDesertPercent - iPlainsPercent))
self.iMountainTopPercent = 75
self.iMountainBottomPercent = 60
fSnowLatitude += self.gc.getClimateInfo(self.map.getClimate()).getSnowLatitudeChange()
fSnowLatitude = min(fSnowLatitude, 1.0)
fSnowLatitude = max(fSnowLatitude, 0.0)
self.fSnowLatitude = fSnowLatitude
fTundraLatitude += self.gc.getClimateInfo(self.map.getClimate()).getTundraLatitudeChange()
fTundraLatitude = min(fTundraLatitude, 1.0)
fTundraLatitude = max(fTundraLatitude, 0.0)
self.fTundraLatitude = fTundraLatitude
fGrassLatitude += self.gc.getClimateInfo(self.map.getClimate()).getGrassLatitudeChange()
fGrassLatitude = min(fGrassLatitude, 1.0)
fGrassLatitude = max(fGrassLatitude, 0.0)
self.fGrassLatitude = fGrassLatitude
fDesertBottomLatitude += self.gc.getClimateInfo(self.map.getClimate()).getDesertBottomLatitudeChange()
fDesertBottomLatitude = min(fDesertBottomLatitude, 1.0)
fDesertBottomLatitude = max(fDesertBottomLatitude, 0.0)
self.fDesertBottomLatitude = fDesertBottomLatitude
fDesertTopLatitude += self.gc.getClimateInfo(self.map.getClimate()).getDesertTopLatitudeChange()
fDesertTopLatitude = min(fDesertTopLatitude, 1.0)
fDesertTopLatitude = max(fDesertTopLatitude, 0.0)
self.fDesertTopLatitude = fDesertTopLatitude
self.fracXExp = fracXExp
self.fracYExp = fracYExp
self.iNumPlotsX = self.gc.getMap().getGridWidth()
self.iNumPlotsY = self.gc.getMap().getGridHeight()
self.initFractals()
def initFractals(self):
global yy_latitude
yy_latitude = [0.0] * (self.iNumPlotsX * self.iNumPlotsY)
self.deserts.fracInit(
self.iWidth, self.iHeight, self.grain_amount, self.mapRand, self.iFlags, self.fracXExp, self.fracYExp
)
self.iDesertTop = self.deserts.getHeightFromPercent(self.iDesertTopPercent)
self.iDesertBottom = self.deserts.getHeightFromPercent(self.iDesertBottomPercent)
self.plains.fracInit(
self.iWidth,
self.iHeight,
self.grain_amount + 1,
self.mapRand,
self.iFlags,
self.fracXExp,
self.fracYExp,
)
self.iPlainsTop = self.plains.getHeightFromPercent(self.iPlainsTopPercent)
self.iPlainsBottom = self.plains.getHeightFromPercent(self.iPlainsBottomPercent)
self.variation.fracInit(
self.iWidth, self.iHeight, self.grain_amount, self.mapRand, self.iFlags, self.fracXExp, self.fracYExp
)
self.variationx.fracInit(
self.iWidth, self.iHeight, self.grain_amount, self.mapRand, self.iFlags, self.fracXExp, self.fracYExp
)
self.variationy.fracInit(
self.iWidth,
self.iHeight,
self.grain_amount - 2,
self.mapRand,
self.iFlags,
self.fracXExp,
self.fracYExp,
)
self.terrainDesert = self.gc.getInfoTypeForString("TERRAIN_DESERT")
self.terrainPlains = self.gc.getInfoTypeForString("TERRAIN_PLAINS")
self.terrainIce = self.gc.getInfoTypeForString("TERRAIN_SNOW")
self.terrainTundra = self.gc.getInfoTypeForString("TERRAIN_TUNDRA")
self.terrainGrass = self.gc.getInfoTypeForString("TERRAIN_GRASS")
low = self.variationx.getHeightFromPercent(5)
hi = self.variationx.getHeightFromPercent(95)
lowy = self.variationy.getHeightFromPercent(5)
hiy = self.variationy.getHeightFromPercent(95)
fur = self.mapRand.get(20, "Generate Plot Types PYTHON")
self.range = 0.2 + 0.02 * fur
self.pos = -0.6 + 0.02 * self.mapRand.get(50 - fur, "Generate Plot Types PYTHON")
for x in range(self.iNumPlotsX):
for y in range(self.iNumPlotsY):
i = y * self.iNumPlotsX + x
if getClimateType() == 0:
yy_latitude[i] = abs((self.iHeight / 2) - y) / float(self.iHeight / 2)
elif getClimateType() == 1:
yy_latitude[i] = (y) / float(self.iHeight) * 0.92
elif getClimateType() == 2:
yy_latitude[i] = (self.variationx.getHeight(x, y) - low) / float(hi - low)
if yy_latitude[i] < 0:
yy_latitude[i] = 0.0
if yy_latitude[i] > 1:
yy_latitude[i] = 1.0
elif getClimateType() == 3:
yy_latitude[i] = abs((y) / float(self.iHeight) * self.range + self.pos)
else:
yy_latitude[i] = (self.variationy.getHeight(x, y) - lowy) / float(hiy - lowy) * 0.7 + 0.15
if yy_latitude[i] < 0:
yy_latitude[i] = 0.0
if yy_latitude[i] > 1:
yy_latitude[i] = 1.0
def getLatitudeAtPlot(self, iX, iY):
lat = yy_latitude[iX + iY * self.iNumPlotsX]
# Adjust latitude using self.variation fractal, to mix things up:
lat += (128 - self.variation.getHeight(iX, iY)) / (255.0 * 5.0)
# Limit to the range [0, 1]:
if lat < 0:
lat = 0.0
if lat > 1:
lat = 1.0
return lat
class YYFeatureGenerator(CvMapGeneratorUtil.FeatureGenerator):
def getLatitudeAtPlot(self, iX, iY):
"returns a value in the range of 0.0 (tropical) to 1.0 (polar)"
return yy_latitude[iX + iY * CyGlobalContext().getMap().getGridWidth()]
def generatePlotTypes():
NiTextOut("Setting Plot Types (Python Fractal) ...")
if getGeneratorType() == 0:
# iid
fractal_world = IIDPlotGenerator()
fractal_world.initFractal()
return fractal_world.generatePlotTypes()
elif getGeneratorType() == 1:
# Fractal Land
water_percent = 40
water_percent = clip(
water_percent
+ CyGlobalContext().getSeaLevelInfo(CyGlobalContext().getMap().getSeaLevel()).getSeaLevelChange(),
0,
100,
)
hillRange = CyGlobalContext().getClimateInfo(CyGlobalContext().getMap().getClimate()).getHillRange()
peakPercent = CyGlobalContext().getClimateInfo(CyGlobalContext().getMap().getClimate()).getPeakPercent()
map_data = FractalTerrainGenerator(
CyGlobalContext().getMap().getGridWidth(),
CyGlobalContext().getMap().getGridHeight(),
symmetry=getSymmetryType(),
wrapH=getWrapX(),
wrapV=getWrapY(),
waterPercent=water_percent,
hillRange=hillRange,
peakPercent=peakPercent,
)
fractal_world = PostprocessPlotGenerator()
fractal_world.initFractal()
res = fractal_world.generatePlotTypes(map_data)
return res
elif getGeneratorType() == 2:
# Riveria
water_percent = 25
water_percent = clip(
water_percent
+ CyGlobalContext().getSeaLevelInfo(CyGlobalContext().getMap().getSeaLevel()).getSeaLevelChange(),
0,
100,
)
map_data = RiveriaTerrainGenerator(
CyGlobalContext().getMap().getGridWidth(),
CyGlobalContext().getMap().getGridHeight(),
symmetry=getSymmetryType(),
wrapH=getWrapX(),
wrapV=getWrapY(),
waterPercent=water_percent,
)
fractal_world = PostprocessPlotGenerator()
fractal_world.initFractal()
res = fractal_world.generatePlotTypes(map_data, shift_plot_types=False)
return res
else:
# Shade
water_percent = 40
water_percent = clip(
water_percent
+ CyGlobalContext().getSeaLevelInfo(CyGlobalContext().getMap().getSeaLevel()).getSeaLevelChange(),
0,
100,
)
map_data = ShadeTerrainGenerator(
CyGlobalContext().getMap().getGridWidth(),
CyGlobalContext().getMap().getGridHeight(),
symmetry=getSymmetryType(),
wrapH=getWrapX(),
wrapV=getWrapY(),
waterPercent=water_percent,
)
fractal_world = PostprocessPlotGenerator()
fractal_world.initFractal()
res = fractal_world.generatePlotTypes(map_data, shift_plot_types=False)
return res
def generateTerrainTypes():
NiTextOut("Generating Terrain (Python Fractal) ...")
terraingen = YYTerrainGenerator()
terrainTypes = terraingen.generateTerrain()
return terrainTypes
def addFeatures():
NiTextOut("Adding Features (Python Fractal) ...")
featuregen = YYFeatureGenerator()
featuregen.addFeatures()
return 0
# End of civ4-specific stuff
def clip(x, lb, ub):
return max(min(x, ub), lb)
def randomPoint():
while True:
x = complex(random.gauss(0, 1), random.gauss(0, 1))
if abs(x) < 10:
return x
def floodfill(map, w, h, wrapV, wrapH, i, j, visited, separator):
queue = [(i, j)]
visited[j * w + i] = True
re = 1
while len(queue) > 0:
head = queue[0]
queue = queue[1:]
i = head[0]
j = head[1]
c = j * w + i
for di in range(-1, 2):
for dj in range(-1, 2):
i2 = (i + di) % w
j2 = (j + dj) % w
c2 = j2 * w + i2
if (
(i + di >= 0 or wrapH)
and (i + di < w or wrapH)
and (j + dj >= 0 or wrapV)
and (j + dj < h or wrapV)
and map[c2] != separator
and not visited[c2]
):
queue.append((i2, j2))
visited[j2 * w + i2] = True
re = re + 1
return re
def countIslands(map, w, h, wrapV, wrapH):
visited = [False] * (w * h)
islands = 0
for i in range(w):
for j in range(h):
c = j * w + i
if map[c] != " " and not visited[c]:
x = floodfill(map, w, h, wrapV, wrapH, i, j, visited, " ")
islands = islands + 1
return islands
def countContinents(map, w, h, wrapV, wrapH):
visited = [False] * (w * h)
islands = 0
for i in range(w):
for j in range(h):
c = j * w + i
if map[c] != " " and not visited[c]:
x = floodfill(map, w, h, wrapV, wrapH, i, j, visited, " ")
if x >= 9:
islands = islands + 1
return islands
def fixConnectivity(map, w, h, wrapV, wrapH):
finished = False
while not finished:
visited = [False] * (w * h)
for c in range(w * h):
if map[c] != "#" and not visited[c]:
x = floodfill(map, w, h, wrapV, wrapH, c % w, c // w, visited, "#")
break
queue = []
previous = {}
visited2 = list(visited)
for c in range(w * h):
if visited[c]:
queue.append((c % w, c // w))
finished = True
while len(queue) > 0:
head = queue[0]
queue = queue[1:]
i = head[0]
j = head[1]
c = j * w + i
if map[c] != "#" and (i, j) in previous:
while previous[(i, j)] in previous:
(i, j) = previous[(i, j)]
map[j * w + i] = "+"
finished = False
break
for di in range(-1, 2):
for dj in range(-1, 2):
i2 = (i + di) % w
j2 = (j + dj) % w
c2 = j2 * w + i2
if (
(i + di >= 0 or wrapH)
and (i + di < w or wrapH)
and (j + dj >= 0 or wrapV)
and (j + dj < h or wrapV)
and not visited2[c2]
):
queue.append((i2, j2))
previous[(i2, j2)] = (i, j)
visited2[j2 * w + i2] = True
class transformer:
def transform(self, coord):
return coord
def __str__(self):
return "<iden>"
class linearTransformer(transformer):
def __init__(self, minExpansionRatio=0.4, maxExpansionRatio=0.9, maxAspectRatio=4.0):
self.offset = randomPoint()
scale = random.uniform(minExpansionRatio, maxExpansionRatio)
stretch = math.exp(random.uniform(-math.log(maxAspectRatio) / 2, math.log(maxAspectRatio) / 2))
rotate1 = cmath.exp(1j * random.random() * cmath.pi * 2)
rotate2 = cmath.exp(1j * random.random() * cmath.pi * 2)
self.xx = (rotate1.real * rotate2.real * stretch - rotate1.imag * rotate2.imag / stretch) * scale
self.xy = (-rotate1.imag * rotate2.real * stretch - rotate1.real * rotate2.imag / stretch) * scale
self.yx = (rotate1.real * rotate2.imag * stretch + rotate1.imag * rotate2.real / stretch) * scale
self.yy = (-rotate1.imag * rotate2.imag * stretch + rotate1.real * rotate2.real / stretch) * scale
def transform(self, coord):
return (
complex(coord.real * self.xx + coord.imag * self.xy, coord.real * self.yx + coord.imag * self.yy)
+ self.offset
)
def __str__(self):
return "<linear>"
class diamondTransformer(transformer):
def transform(self, coord):
rho = abs(coord)
theta = math.atan2(coord.imag, coord.real)
return complex(math.sin(theta) * math.cos(rho), math.sin(rho) * math.cos(theta))
def __str__(self):
return "<diamond>"
class varDiamondTransformer(transformer):
def transform(self, coord):
rho = abs(coord)
if rho < 1e-8:
return None
theta = math.atan2(coord.imag, coord.real)
quadrant = math.floor(theta / (math.pi / 2)) * math.pi / 2
theta = theta - quadrant - math.pi / 4
rho = math.sqrt(rho + 1.0 / 16)
x = rho * math.sin(theta)
ya = 2 * (rho**2) * (math.cos(theta) ** 2)
y = (ya + 1 / ya) / math.sqrt(8)
return cmath.exp((quadrant + math.pi / 4) * 1j) * y + cmath.exp((quadrant + 3 * math.pi / 4) * 1j) * x
def __str__(self):
return "<vardiamond>"
class sequenceTransformer(transformer):
def __init__(self, transList):
self.transList = transList
def transform(self, coord):
for trans in self.transList:
coord = trans.transform(coord)
return coord
def __str__(self):
return "<seq" + "".join(map(lambda x: x.__str__(), self.transList)) + ">"
class symmetryTransformer(transformer):
def __init__(self, symmetry):
self.symmetry = symmetry
def transform(self, coord):
if self.symmetry < 0:
if random.randrange(2):
coord = -coord.conjugate()
return coord * cmath.exp(1j * random.randrange(-self.symmetry) * cmath.pi * 2 / -self.symmetry)
elif self.symmetry == 0:
return coord
else:
return coord * cmath.exp(1j * random.randrange(self.symmetry) * cmath.pi * 2 / self.symmetry)
def __str__(self):
return "<sym>"
class classicalDecorator(transformer):
pass
class pickerTransformer(transformer):
def __init__(self, transformerList, symmetry):
n = len(transformerList)
weightList = [0.0] * n
for i in range(n):
weightList[i] = random.expovariate(1.0)
tot = sum(weightList)
for i in range(n):
weightList[i] /= float(tot)
self.pairList = list(
zip(
map(lambda trans: sequenceTransformer((trans, symmetryTransformer(symmetry))), transformerList),
weightList,
)
)
def transform(self, coord):
x = random.random()
for a, b in self.pairList:
if b >= x:
return a.transform(coord)
else:
x = x - b
def __str__(self):
return "<pick" + "".join(map(lambda x: x[0].__str__(), self.pairList)) + ">"
class interpolator:
def __init__(self, n):
self.weightList = [0.0] * n
for i in range(n):
self.weightList[i] = random.expovariate(1.0)
tot = sum(self.weightList)
for i in range(n):
self.weightList[i] /= float(tot)
def interpolate(self, coordList):
return sum([x * y for (x, y) in zip(coordList, self.weightList)])
def __str__(self):
return "default"
class linearInterpolator(interpolator):
def __str__(self):
return "linear"
class diamondInterpolator(interpolator):
def interpolate(self, coordList):
rho = math.sqrt(sum([abs(x) * w for (x, w) in zip(coordList, self.weightList)]))
psi = sum([math.atan2(x.imag, x.real) * w for (x, w) in zip(coordList, self.weightList)])
return cmath.exp(1j * psi) * rho
def __str__(self):
return "diamond"
class interpolatorTransformer(transformer):
def __init__(self, transformerList, interpolator):
self.transformerList = transformerList
self.interpolator = interpolator
def transform(self, coord):
return self.interpolator.interpolate([x.transform(coord) for x in self.transformerList])
def __str__(self):
return (
"<interp("
+ self.interpolator.__str__()
+ ")"
+ ("".join([trans.__str__() for trans in self.transformerList]))
+ ">"
)
class treeTransformer(transformer):
def __init__(self, regularity=1.0, fun=1.0, depthLimit=2, minExpansionRatio=0.2, maxExpansionRatio=1.1):
regularity = clip(regularity, 0, 1.5)
if fun < 0:
fun = 0
if random.random() <= (1.2 - fun) / 2.4:
# linear transformer
self.trans = linearTransformer(minExpansionRatio, maxExpansionRatio, 3.03 / (regularity + 0.01))
elif random.expovariate(2.0) <= 0.8 * fun and depthLimit > 1:
if random.randrange(4) < 1:
# sequence transformer
delta = (maxExpansionRatio - minExpansionRatio) * 0.2
transA = treeTransformer(
regularity + 0.2, fun - 0.5, depthLimit - 1, minExpansionRatio + delta, maxExpansionRatio - delta
)
transB = treeTransformer(
regularity + 0.2, fun - 0.5, depthLimit - 1, minExpansionRatio + delta, maxExpansionRatio - delta
)
self.trans = sequenceTransformer((transA, transB))
else:
# interpolator transformer
n = 2
while random.random() <= 1.2 * (0.5**n) * fun:
n = n + 1
transList = [None] * n
for i in range(n):
transList[i] = treeTransformer(
regularity - 0.2, fun - 0.5, depthLimit - 1, minExpansionRatio, maxExpansionRatio
)
r = random.randrange(64)
if r < 40:
self.trans = interpolatorTransformer(transList, linearInterpolator(n))
else:
self.trans = interpolatorTransformer(transList, diamondInterpolator(n))
else:
if random.randrange(16) < 12:
# diamond
pre_trans = linearTransformer(minExpansionRatio, maxExpansionRatio, 2.525 / (regularity + 0.01))
diamond_trans = diamondTransformer()
self.trans = sequenceTransformer((pre_trans, diamond_trans))
else:
# varDiamond
pre_trans = linearTransformer(minExpansionRatio, maxExpansionRatio, 2.525 / (regularity + 0.01))
varDiamond_trans = varDiamondTransformer()
self.trans = sequenceTransformer((pre_trans, varDiamond_trans))
def transform(self, coord):
return self.trans.transform(coord)
def __str__(self):
return self.trans.__str__()
def drawFractal(
width=20,
height=15,
wrapV=False,
wrapH=True,
minEmptyPercent=30,
maxEmptyPercent=50,
symmetry=0,
minTransform=3,
maxTransform=5,
minInsideRate=0.9,
quality=100.0,
absoluteRadiusLimit=[(0.99, 0, 100.0)],
relativeRadiusLimit=[(0.95, 0.25, 1.0, 100.0)],
scaleMaxTrial=100,
):
success = False
while not success:
# Build a transList
n = random.randint(minTransform, maxTransform)
transList = [None] * n
for i in range(n):
if i == 0:
transList[i] = treeTransformer(1.0, 1.0, 3, 0.5, 1.0)
else:
transList[i] = treeTransformer(random.random(), random.expovariate(0.7), 2, 0.1, 1.0)
# Make it a picker
picker = pickerTransformer(transList, symmetry)
# Test run
points = []
for i in range(50 + width * height // 2):
coord = randomPoint()
for j in range(100):
coord = picker.transform(coord)
for j in range(100):
coord = picker.transform(coord)
points.append(coord)
xs = [p.real for p in points]
ys = [p.imag for p in points]
xs.sort()
ys.sort()
# decide the offset
offset = complex(-xs[len(xs) // 2], -ys[len(ys) // 2])
# check the radius conditions
rs = [abs(p + offset) for p in points]
rs.sort()
success = True
for r, lb, ub in absoluteRadiusLimit:
if not lb <= rs[int(len(rs) * r)] <= ub:
success = False
for r1, r2, lb, ub in relativeRadiusLimit:
if not lb * rs[int(len(rs) * r2)] <= rs[int(len(rs) * r1)] <= ub * rs[int(len(rs) * r2)]:
success = False
if success:
# now we can scale the picture accordingly!
wellScaled = False
smallestLargeBadScale = 1e1000
currentScaleMaxTrial = scaleMaxTrial
while not wellScaled and currentScaleMaxTrial > 0:
scale = (width + height) * random.expovariate(2)
wellScaled = True
if scale > smallestLargeBadScale:
wellScaled = False
if wellScaled:
mapData = [0] * (width * height)
for p in points:
coord2 = int((p.real + offset.real) * scale + 0.5 * width), int(
(p.imag + offset.imag) * scale + 0.5 * height
)
if wrapH:
coord2 = coord2[0] % width, coord2[1]
if wrapV:
coord2 = coord2[0], coord2[1] % height
pos = coord2[0] * height + coord2[1]
if 0 <= coord2[0] < width and 0 <= coord2[1] < height:
mapData[pos] = mapData[pos] + 1