跳至內容

File:Domain coloring x2-1 x-2-i x-2-i d x2+2+2i.xcf

頁面內容不支援其他語言。
這個檔案來自維基共享資源
維基百科,自由的百科全書

原始檔案 (2,000 × 2,000 像素,檔案大小:15.09 MB,MIME 類型:image/x-xcf


 
本XCF 點陣圖使用GIMP創作。

Warning sign 警告: XCF files must be compatible with GIMP 2.8 in order to be displayed. Files created with GIMP 2.10 format currently are not supported by the MediaWiki software (see T196054). Furthermore, indexed images are not supported and must be converted to RGB or grayscale.

摘要

描述
Français : Coloration de régions de la fonction complexe sur le domaine . La couleur (teinte) représente l'argument de la fonction. Les lignes noires et blanches (saturation, valeur) représentent les valeurs de la fonction à module constant. Ce fichier comporte 4 calques : les lignes blanches indiquant les lignes iso-argument tous les pi/6, la grille transformée du plan complexe, les variations d'intensité représentant le module, la couleur représentant l'argument
English: Domain coloring of the complex function on the domain . Phase is coded by the hue and module by the value. Image generated by python script conformal.py v0.4 (Michael J Gruber and JB Cuenot) with Gimp v2.8
日期
來源 自己的作品
作者 Djiboun
其他版本
XCF開發
InfoField
 
本XCF 點陣圖使用GIMP創作。

授權條款

我,本作品的著作權持有者,決定用以下授權條款發佈本作品:
w:zh:共享創意
姓名標示 相同方式分享
您可以自由:
  • 分享 – 複製、發佈和傳播本作品
  • 重新修改 – 創作演繹作品
惟需遵照下列條件:
  • 姓名標示 – 您必須指名出正確的製作者,和提供授權條款的連結,以及表示是否有對內容上做出變更。您可以用任何合理的方式來行動,但不得以任何方式表明授權條款是對您許可或是由您所使用。
  • 相同方式分享 – 如果您利用本素材進行再混合、轉換或創作,您必須基於如同原先的相同或兼容的條款,來分布您的貢獻成品。

Python src code

#!/usr/bin/env python

#   conformal.py
#   Copyright (C) 2006-2011  Michael J. Gruber <[email protected]>
#
#    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, version 2 of the License.
#
#   This program is distributed in the hope that it will be useful,
#   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.
#
#   You should have received a copy of the GNU General Public License
#   along with this program; if not, write to the Free Software
#   Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.

confversion = "0.3+"

# allow access through module and without
import math, cmath
from math import *
from cmath import *

from array import array
from gimpfu import *

# try importing typical math modules
try:
	from fpconst import *
	import scipy.special
except ImportError:
	pass

try:
	import mpmath
except ImportError:
	pass


def conformal_batch(width, height, code, constraint, xl, xr, yt, yb, grid, checkboard, gradient, filename):
	conformal_core(width, height, code, constraint, xl, xr, yt, yb, grid, checkboard, gradient, filename)


def conformal(width, height, code, constraint, xl, xr, yt, yb, grid, checkboard, gradient):
	conformal_core(width, height, code, constraint, xl, xr, yt, yb, grid, checkboard, gradient, None)


def conformal_core(width, height, code, constraint, xl, xr, yt, yb, grid, checkboard, gradient, filename):
	image = gimp.Image(width, height, RGB) 
	drawables = [ gimp.Layer(image, "Argument", width, height, RGBA_IMAGE, 100, NORMAL_MODE),
		      gimp.Layer(image, "Log. modulus", width, height, RGBA_IMAGE, 35, VALUE_MODE),
		      gimp.Layer(image, "Grid", width, height, RGBA_IMAGE, 10, DARKEN_ONLY_MODE)]
	image.disable_undo()
	l = 1
	for drawable in drawables:
		image.add_layer(drawable, l)
		l = -1

	bpp = drawables[0].bpp

	gimp.tile_cache_ntiles(2 * (width + 63) / 64)

	dest_rgns = [ drawable.get_pixel_rgn(0, 0, width, height, True, False) for drawable in drawables ]
	progress = 0
	max_progress = width * height
	if filename is None:
		gimp.progress_init("Conformally Mapping...")
	sx = (width-1.0)/(xr-xl)
	sy = (height-1.0)/(yt-yb)
	w = complex(0.0)
	z = complex(0.0)
	cx, cy = 0, 0
	mp2 = 2.0*math.pi # no need to do this 500*500 times...
	ml2 = 2.0*math.log(2) # no need to do this 500*500 times...
	ml = math.log(2) # no need to do this 500*500 times...
	compiled=compile(code, "compiled code", "exec", 0, 1)
	compiledconstraint=compile(constraint, "compiled constraint code", "exec", 0, 1)

	dests = [ array("B", "\x00" * width*height*bpp) for i in range(3) ]

	QUANT = 4096
	args = [ i/(QUANT-1.0) for i in range(QUANT) ]
	arggradsamples = list(gimp.gradient_get_custom_samples(gradient, args)) + [[0,]*bpp]
	modgradsamples = list(gimp.gradient_get_custom_samples("Default", args)) + [[0,]*bpp]
	sqrsamples = [ [0,]*(bpp-1) + [255,], [255,]*(bpp-1) + [255,] , [0,]*bpp ]
	for col in range(QUANT+1):
		arggradsamples[col] = [ ((int)(255*arggradsamples[col][i]+0.5)) for i in range(bpp)]
		modgradsamples[col] = [ ((int)(255*modgradsamples[col][i]+0.5)) for i in range(bpp)]
	qinf = 1.0 + 1.0/(QUANT-1) # uggely uggely

	args = [0.0,] * width
	mods = [0.0,] * width
	sqrs = [0,] * width

	for row in range(0, height):
		for col in range(0, width):
			z = col/sx + xl + 1j*( yt - row/sy)
			p = True
			try:
				exec(compiledconstraint)
			except (OverflowError, ValueError):
				p = False
			if not p:
				w = 0.0
			else:
				try:
					exec(compiled)
				except (OverflowError, ValueError):
					p = False
			if not p or isnan(w) or isinf(w):
				w = 0.0

			try:
				logw = cmath.log(w)
				arg = logw.imag
				if isnan(arg) or isinf(arg):
					arg = 0.0
					p = False
				elif arg < 0.0:
					arg = arg + mp2
				mod = ( logw.real/ml ) % 1.0
				if isnan(mod) or isinf(mod):
					mod = 0.0
					p = False
			except (OverflowError, ValueError):
				arg = 0.0
				mod = 0.0
				p = False
			arg = arg/mp2

			try:
				sqr = int(w.imag/grid % 2.0) + int(w.real/grid % 2.0)
				if isnan(sqr) or isinf(sqr):
					sqr = 0
					p = False
			except (OverflowError, ValueError):
				sqr = 0
				p = False

			sqr = sqr % 2

			if not p:
				arg = qinf
				mod = qinf
				sqr = 2

			args[col] = arg
			mods[col] = mod
			sqrs[col] = sqr

		dests[0][row*width*bpp : (row+1)*width*bpp] = array("B", [ arggradsamples [int((QUANT-1)*args[col]+0.5)][i] for col in range(0, width) for i in range(bpp) ] )

		dests[1][row*width*bpp : (row+1)*width*bpp] = array("B", [ modgradsamples[int((QUANT-1)*mods[col]+0.5)][i] for col in range(0, width) for i in range(bpp) ] )

		dests[2][row*width*bpp : (row+1)*width*bpp]= array("B", [ sqrsamples[sqrs[col]][i] for col in range(0,width) for i in range(bpp) ] )
	
		progress = progress + width 
		if filename is None:
			gimp.progress_update(float(progress) / max_progress)

	for i in range(3):
		dest_rgns[i][0:width, 0:height] = dests[i].tostring()

	for drawable in drawables:
		drawable.flush()
		drawable.update(0,0,width,height)
	if not checkboard:
		pdb.plug_in_edge(image,drawables[2], 10, 0, 0) # amount, WRAP, SOBEL
		pdb.plug_in_vinvert(image,drawables[2])
	if image.parasite_find("gimp-comment"):
		image.parasite.detach("gimp-comment")
	image.attach_new_parasite("gimp-comment", PARASITE_PERSISTENT, """# conformal %s
code = \"\"\"
%s
\"\"\"
constraint = \"\"\"
%s
\"\"\"
xl = %f
xr = %f
yt = %f
yb = %f
grid = %f
checkboard = %d
gradient = "%s"
width = %d
height = %d
""" % (confversion, code, constraint, xl, xr, yt, yb, grid, checkboard, gradient, width, height))
	if filename is None:
		image.enable_undo()
		gimp.Display(image)
		gimp.displays_flush
	else:
		if filename.find('.xcf') > 0:
			pdb.gimp_xcf_save(1, image, drawables[0], filename, filename)
		else:
			flat_layer = pdb.gimp_image_flatten(image)
			pdb.gimp_file_save(image, flat_layer, filename, filename)


register(
	"conformal_batch",
	"Colour representation of a conformal map",
	"Colour representation of a conformal map",
	"Michael J Gruber",
	"Michael J Gruber",
	"2011",
	"",
	"",
	[
		(PF_INT, "width", "width", 512),
		(PF_INT, "height", "height", 512),
		(PF_TEXT, "code", "code", "w=z"),
		(PF_TEXT, "constraint", "constraint", "p=True"),
		(PF_FLOAT, "xl", "x left", -1.0),
		(PF_FLOAT, "xr", "x right", 1.0),
		(PF_FLOAT, "yt", "y top", 1.0),
		(PF_FLOAT, "yb", "y bottom", -1.0),
		(PF_FLOAT, "grid", "grid spacing", 1.0),
		(PF_BOOL, "checkboard", "checker board grid", 0),
		(PF_GRADIENT, "gradient", "gradient", "Full saturation spectrum CCW"),
		(PF_FILE, "file", "file", "out.xcf.bz2"),
	],
	[],
	conformal_batch)

register(
	"conformal",
	"Colour representation of a conformal map",
	"Colour representation of a conformal map",
	"Michael J Gruber",
	"Michael J Gruber",
	"2012",
	"<Toolbox>/File/Create/_Conformal ...",
	"",
	[
		(PF_INT, "width", "width", 512),
		(PF_INT, "height", "height", 512),
		(PF_TEXT, "code", "code", "w=z"),
		(PF_TEXT, "constraint", "constraint", "p=True"),
		(PF_FLOAT, "xl", "x left", -1.0),
		(PF_FLOAT, "xr", "x right", 1.0),
		(PF_FLOAT, "yt", "y top", 1.0),
		(PF_FLOAT, "yb", "y bottom", -1.0),
		(PF_FLOAT, "grid", "grid spacing", 1.0),
		(PF_BOOL, "checkboard", "checker board grid", 0),
		(PF_GRADIENT, "gradient", "gradient", "Full saturation spectrum CCW"),
	],
	[],
	conformal)

main()

說明

添加單行說明來描述出檔案所代表的內容

在此檔案描寫的項目

描繪內容

沒有維基數據項目的某些值

作者姓名字串 繁體中文 (已轉換拼寫):​Djiboun
維基媒體使用者名稱 繁體中文 (已轉換拼寫):​Djiboun

著作權狀態 繁體中文 (已轉換拼寫)

有著作權 繁體中文 (已轉換拼寫)

檔案來源 Chinese (Taiwan) (已轉換拼寫)

上傳者的原創作品 繁體中文 (已轉換拼寫)

多媒體型式 繁體中文 (已轉換拼寫)

image/x-xcf

檔案歷史

點選日期/時間以檢視該時間的檔案版本。

日期/時間縮⁠圖尺寸用戶備⁠註
目前2015年8月16日 (日) 16:26於 2015年8月16日 (日) 16:26 版本的縮圖2,000 × 2,000(15.09 MB)DjibounUser created page with UploadWizard

下列頁面有用到此檔案:

全域檔案使用狀況

以下其他 wiki 使用了這個檔案: