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inkscapeMadeEasy_Plot.py
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inkscapeMadeEasy_Plot.py
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#!/usr/bin/python
# --------------------------------------------------------------------------------------
#
# inkscapeMadeEasy: - Helper module that extends Aaron Spike's inkex.py module,
# focusing productivity in inkscape extension development
# Copyright (C) 2016 by Fernando Moura
#
# 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 3 of the License, or
# (at your option) any later version.
#
# 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, see <http://www.gnu.org/licenses/>.
#
# --------------------------------------------------------------------------------------
import math
import numpy as np
from lxml.etree import tostring
import inkscapeMadeEasy_Draw as inkDraw
import sys
"""
This module contains a set of classes to help producing graphs.
This module requires the following modules: math, numpy, lxml and sys
"""
def displayMsg(msg):
"""Displays a message to the user.
:returns: nothing
:rtype: -
.. note:: Identical function has been also defined inside inkscapeMadeEasy class
"""
sys.stderr.write(msg + '\n')
def Dump(obj, file='./dump_file.txt', mode='w'):
"""Function to easily output the result of ``str(obj)`` to a file
This function was created to help debugging the code while it is running under inkscape. Since inkscape does not possess a terminal as today (2016), this function overcomes partially the issue of sending things to stdout by dumping result of the function ``str()`` in a text file.
:param obj: object to sent to the file. Any type that can be used in ``str()``
:param file: file path. Default: ``./dump_file.txt``
:param mode: writing mode of the file. Default: ``w`` (write)
:type obj: any, as long as ``str(obj``) is implemented (see ``__str__()`` metaclass definition )
:type arg2: string
:type mode: string
:returns: nothing
:rtype: -
.. note:: Identical function has been also defined inside inkscapeMadeEasy class
**Example**
>>> vector1=[1,2,3,4,5,6]
>>> Dump(vector,file='~/temporary.txt',mode='w') % writes the list to a file
>>> vector2=[7,8,9,10]
>>> Dump(vector2,file='~/temporary.txt',mode='a') % append the list to a file
"""
file = open(file, mode)
file.write(str(obj) + '\n')
file.close()
def generateListOfTicksLinear(axisLimits, axisOrigin, tickStep):
"""Defines list of ticks to be drawn in a linear plot
.. note:: Internal function.
"""
# make the list of ticks, symmetrically to the origin
listTicksPositive = [axisOrigin]
while listTicksPositive[-1] < axisLimits[1]:
listTicksPositive.append(listTicksPositive[-1] + tickStep)
listTicksNegative = [axisOrigin]
while listTicksNegative[-1] > axisLimits[0]:
listTicksNegative.append(listTicksNegative[-1] - tickStep)
listTicks = listTicksPositive + listTicksNegative[1:]
return listTicks
def generateListOfTicksLog10(axisLimits):
"""Defines list of ticks to be drawn in a log10 plot
.. note:: Internal function."""
# make the list of ticks, symmetrically to the origin
listTicks = [axisLimits[0]]
while listTicks[-1] < axisLimits[1]:
listTicks.append(listTicks[-1] * 10)
return listTicks
def findOrigin(axisLimits, flagLog10, scale):
""" retrieves the position of the origin. In case of logarithmic scale, it will be axisLimits[0]
.. note:: Internal function.
"""
if flagLog10:
axisOrigin = math.log10(axisLimits[0]) * scale
else:
if axisLimits[0] <= 0.0 and axisLimits[1] >= 0.0:
axisOrigin = 0.0
else:
if axisLimits[1] < 0:
axisOrigin = axisLimits[1] * scale
else:
axisOrigin = axisLimits[0] * scale
return axisOrigin
def getPositionAndText(value, scale, flagLog10, axisUnitFactor):
"""given a value, its scale, and some flags, finds it position in the diagram and the text to be shown
.. note:: Internal function."""
if flagLog10:
pos = math.log10(value) * scale
else:
pos = value * scale
# try to simplify number
if int(value) - value == 0:
valStr = str(int(round(value, 3)))
else:
valStr = str(round(value, 3))
# option to add extra factor to the axis ticks
if flagLog10:
exponent = str(int(math.log10(value)))
if axisUnitFactor:
if inkDraw.useLatex:
Text = '10^{' + exponent + '}' + axisUnitFactor + ''
else:
Text = '10^' + exponent + '' + axisUnitFactor + ''
else:
if inkDraw.useLatex:
Text = '10^{' + exponent + '}'
else:
Text = '10^' + exponent + ''
else:
if axisUnitFactor:
if value == 0:
Text = '0'
if value == 1:
Text = axisUnitFactor
if value == -1:
Text = '-' + axisUnitFactor
if value != 0 and value != 1 and value != -1:
Text = valStr + axisUnitFactor
else:
Text = valStr
if inkDraw.useLatex:
Text='$' + Text + '$'
return [pos, Text]
class axis():
""" This is a class with different methods for making plot axes.
This class contains only static methods so that you don't have to inherit this in your class
.. note:: This class uses LaTeX in labels and tick marks if LaTeX support is enabled. This is an optional feature, **enabled by default**. Please refer to :ref:`latexSupport` on how to disable it.
"""
@staticmethod
def cartesian(ExtensionBaseObj, parent, xLim, yLim, position=[0, 0],
xLabel='', yLabel='', xlog10scale=False, ylog10scale=False, xTicks=True, yTicks=True, xTickStep=1.0, yTickStep=1.0,
xScale=20, yScale=20, xAxisUnitFactor='', yAxisUnitFactor='', xGrid=False, yGrid=False,
forceTextSize=0, forceLineWidth=0, drawAxis=True, ExtraLenghtAxisX=0.0, ExtraLenghtAxisY=0.0):
"""Creates the axes for cartesian plot
.. note:: This method uses LaTeX in labels and tick marks if LaTeX support is enabled. This is an optional feature, **enabled by default**. Please refer to :ref:`latexSupport` on how to disable it.
:param ExtensionBaseObj: Most of the times you have to use 'self' from inkscapeMadeEasy related objects
:param parent: parent object
:param xLim: limits of the X axis [x_min,x_max]. If the axis is in log10 scale, then the limits will be rounded to complete one decade.
:param yLim: limits of the Y axis [y_min,y_max]. If the axis is in log10 scale, then the limits will be rounded to complete one decade.
:param position: position of the point where x and y axis cross [x0,y0]. The point where the axis cross depend on the limits.
- If xLimits comprises the origin x=0, then the Y axis crosses the X axis at x=0.
- If xLimits contains only negative numbers, then the Y axis crosses the X axis at x_max.
- If xLimits contains only positive numbers, then the Y axis crosses the X axis at x_min.
- The same rule applies to y direction.
:param xLabel: Label of the X axis. Default: ''
The text can contain any LaTeX command. If you want to write mathematical text, you can enclose it between dollar signs $...$. If LaTeX support is disabled, do not use $.
:param yLabel: Label of the Y axis. Default: ''
The text can contain any LaTeX command. If you want to write mathematical text, you can enclose it between dollar signs $...$. If LaTeX support is disabled, do not use $.
:param xlog10scale: sets X axis to log10 scale if True. Default: False
:param ylog10scale: sets Y axis to log10 scale if True. Default: False
:param xTicks: Adds axis ticks to the X axis if True. Default: True
:param yTicks: Adds axis ticks to the Y axis if True. Default: True
:param xTickStep: Value interval between two consecutive ticks on X axis. (Not used if X axis is in log10 scale). Default:1.0
:param yTickStep: Value interval between two consecutive ticks on Y axis. (Not used if Y axis is in log10 scale). Default:1.0
:param xScale: Distance between each xTickStep in svg units. Default: 20
- If axis is linear, then xScale is the size in svg units of each tick
- If axis is log10, the xScale is the size in svg units of one decade
:param yScale: Distance between each xTickStep in svg units. Default: 20
- If axis is linear, then xScale is the size in svg units of each tick
- If axis is log10, the xScale is the size in svg units of one decade
:param xAxisUnitFactor: extra text to be added to Ticks in both x and y. Default: ''
This is useful when we want to represent interval with different units. example pi, 2pi 3pi, etc.
The text can be any LaTeX text. Keep in mind that this text will be inserted within a mathematical environment $...$, therefore no $ is needed here.
:param yAxisUnitFactor: extra text to be added to the ticks in Y axis. Default: ''
This is useful when we want to represent interval with different units. example pi, 2pi 3pi, etc.
The text can be any LaTeX text. Keep in mind that this text will be inserted within a mathematical environment $...$, therefore no $ is needed here.
:param xGrid: adds grid lines to X axis if true. Default: False
:param yGrid: adds grid lines to Y axis if true. Default: False
:param forceTextSize: Size of the text. If this parameter is 0.0 then the method will compute an appropriate size. Default: 0.0
:param forceLineWidth: Width of the lines. If this parameter is 0.0 then the method will compute an appropriate size. Default: 0.0
:param drawAxis: control flag of the axis method
- True: draws axis normally
- False: returns the limits and origin position without drawing the axis itself
:param ExtraLenghtAxisX: extra length left near the arrow pointer of X axis. Default 0.0
:param ExtraLenghtAxisY: extra length left near the arrow pointer of Y axis. Default 0.0
:type ExtensionBaseObj: inkscapeMadeEasy object (see example below)
:type parent: inkscapeMadeEasy object (see example below)
:type xLim: list
:type yLim: list
:type position: list
:type xLabel: string
:type yLabel: string
:type xlog10scale: bool
:type ylog10scale: bool
:type xTicks: bool
:type yTicks: bool
:type xTickStep: float
:type yTickStep: float
:type xScale: float
:type yScale: float
:type xAxisUnitFactor: string
:type yAxisUnitFactor: string
:type xGrid: bool
:type yGrid: bool
:type forceTextSize: float
:type forceLineWidth: float
:type drawAxis: bool
:type ExtraLenghtAxisX: float
:type ExtraLenghtAxisY: float
:returns: [GroupPlot, outputLimits, axisOrigin]
- GroupPlot: the axis area object (if drawAxis=False, this output is ``None``)
- outputLimits: a list with tuples:[(x_min,xPos_min),(x_max,xPos_max),(y_min,yPos_min),(y_max,yPos_max)]
- x_min, x_max, y_min, y_max: The limits of the axis object
- xPos_min, xPos_max, yPos_min, yPos_max: The positions of the limits of the axis object, considering the scaling and units
- axisOrigin [X0,Y0]: A list with the coordinates of the point where the axes cross.
:rtype: list
**Examples**
.. image:: ../imagesDocs/plot_axisCartesianParameters_01.png
:width: 800px
"""
if drawAxis:
GroupPlot = ExtensionBaseObj.createGroup(parent, 'Plot')
# sets the scale scaleX and scaleY stores the size of one unit in both axis (linear axis) or the size of a decade in log plots
if xlog10scale:
scaleX = xScale
else:
scaleX = xScale / float(xTickStep)
if ylog10scale:
scaleY = -yScale
else:
scaleY = -yScale / float(yTickStep) # negative bc inkscape is upside down
# font size and other text parameters
if forceTextSize == 0:
textSize = 0.25 * min(xScale, yScale)
else:
textSize = forceTextSize
textSizeSmall = 0.8 * textSize # font size for axis ticks
text_offset = textSize # base space for text positioning
ExtraSpaceArrowX = (2.0 + ExtraLenghtAxisX) * text_offset # extra space for drawing arrow on axis
ExtraSpaceArrowY = (3.0 + ExtraLenghtAxisY) * text_offset # extra space for drawing arrow on axis
lenghtTicks = textSize / 2.0 # length of the ticks
# create styles
if forceLineWidth == 0:
lineWidth = min(xScale, yScale) / 35.0
else:
lineWidth = forceLineWidth
lineWidthGrid = 0.7 * lineWidth
lineWidthGridFine = lineWidthGrid / 2.0
nameMarkerArrowAxis = inkDraw.marker.createArrow1Marker(ExtensionBaseObj, 'ArrowAxis', RenameMode=1, scale=0.4)
lineStyleAxis = inkDraw.lineStyle.set(lineWidth, lineColor=inkDraw.color.gray(0.3), markerEnd=nameMarkerArrowAxis[1])
lineStyleTicks = inkDraw.lineStyle.set(lineWidth, lineColor=inkDraw.color.gray(0.3))
lineStyleGrid = inkDraw.lineStyle.set(lineWidthGrid, lineColor=inkDraw.color.gray(0.7))
lineStyleGridFine = inkDraw.lineStyle.set(lineWidthGridFine, lineColor=inkDraw.color.gray(0.7))
textStyleLarge = inkDraw.textStyle.setSimpleBlack(textSize)
textStyleSmall = inkDraw.textStyle.setSimpleBlack(textSizeSmall, 'center')
# check if limits are valid
if xLim[0] >= xLim[1]:
sys.stderr.write('Error: xLim is invalid.')
return 0
if yLim[0] >= yLim[1]:
sys.stderr.write('Error: yLim is invalid.')
return 0
# check if the limits are valid for logarithmic scales.
if xlog10scale:
if xLim[0] <= 0 or xLim[1] <= 0:
sys.stderr.write('Error: xLim is invalid in logarithmic scale')
return 0
else:
xmin = pow(10, math.floor(math.log10(xLim[0])))
xmax = pow(10, math.ceil(math.log10(xLim[1])))
xLimits = [xmin, xmax]
else:
xLimits = xLim
if ylog10scale:
if yLim[0] <= 0 or yLim[1] <= 0:
sys.stderr.write('Error: yLim is invalid in logarithmic scale')
return 0
else:
ymin = pow(10, math.floor(math.log10(yLim[0])))
ymax = pow(10, math.ceil(math.log10(yLim[1])))
yLimits = [ymin, ymax]
else:
yLimits = yLim
# finds the position of the Origin of axis
axisOrigin = [0.0, 0.0]
axisOrigin[0] = findOrigin(xLimits, xlog10scale, scaleX)
axisOrigin[1] = findOrigin(yLimits, ylog10scale, scaleY)
# computes the positions of the limits on svg, considering the scale
if xlog10scale: # convert limits to position in diagram, including scaling factor
xLimitsPos = [math.log10(x) * scaleX for x in xLimits]
else:
xLimitsPos = [x * scaleX for x in xLimits]
if ylog10scale: # convert limits to position in diagram, including scaling factor
yLimitsPos = [math.log10(y) * scaleY for y in yLimits]
else:
yLimitsPos = [y * scaleY for y in yLimits]
# build the list of tuples with the limits of the plotting area
outputLimits = zip([xLimits[0], xLimits[1], yLimits[0], yLimits[1]],
[xLimitsPos[0] - axisOrigin[0] + position[0],
xLimitsPos[1] - axisOrigin[0] + position[0],
yLimitsPos[0] - axisOrigin[1] + position[1],
yLimitsPos[1] - axisOrigin[1] + position[1]])
if not drawAxis:
return [None, outputLimits, axisOrigin]
# axis ticks
groupTicks = ExtensionBaseObj.createGroup(GroupPlot, 'Ticks')
if xTicks or xGrid:
if xlog10scale:
listTicks = generateListOfTicksLog10(xLimits)
else:
listTicks = generateListOfTicksLinear(xLimits, axisOrigin[0] / scaleX, xTickStep)
for x in listTicks:
if x <= xLimits[1] and x >= xLimits[0]:
# get position, considering the scale and its text
[posX, xText] = getPositionAndText(x, scaleX, xlog10scale, xAxisUnitFactor)
if xGrid and posX != axisOrigin[0]: # grid lines. Do not draw if grid line is over the axis
inkDraw.line.absCoords(groupTicks, [[posX, yLimitsPos[0]], [posX, yLimitsPos[1]]], [0, 0], lineStyle=lineStyleGrid)
# intermediate grid lines in case of logarithmic scale
if xGrid and xlog10scale and x < xLimits[1]:
for i in range(2, 10):
aditionalStep = math.log10(i) * scaleX
inkDraw.line.absCoords(groupTicks, [[posX + aditionalStep, yLimitsPos[0]], [posX + aditionalStep, yLimitsPos[1]]], [0, 0], lineStyle=lineStyleGridFine)
# tick
if xTicks:
if posX != axisOrigin[0]: # don't draw if in the origin
inkDraw.line.relCoords(groupTicks, [[0, lenghtTicks]], [posX, axisOrigin[1] - lenghtTicks / 2.0], lineStyle=lineStyleTicks)
# sets justification
# inkDraw.text.write(ExtensionBaseObj,'orig='+str(axisOrigin),[axisOrigin[0]+10,axisOrigin[1]-30],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,'xlim='+str(xLimitsPos),[axisOrigin[0]+10,axisOrigin[1]-20],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,'ylim='+str(yLimitsPos),[axisOrigin[0]+10,axisOrigin[1]-10],groupTicks,fontSize=7)
if axisOrigin[1] == yLimitsPos[0]:
justif = 'tc'
offsetX = 0
offsetY = text_offset / 2.0
#inkDraw.circle.centerRadius(groupTicks, axisOrigin, 10, [0,0])
if axisOrigin[1] != yLimitsPos[0] and axisOrigin[1] != yLimitsPos[1]:
justif = 'tr'
offsetX = -text_offset / 4.0
offsetY = text_offset / 2.0
#inkDraw.circle.centerRadius(groupTicks, axisOrigin, 10, [0,0])
# inkDraw.text.write(ExtensionBaseObj,str(axisOrigin[1]),[axisOrigin[0]+10,axisOrigin[1]+10],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,str(yLimitsPos[0]),[axisOrigin[0]+10,axisOrigin[1]+20],groupTicks,fontSize=7)
if posX == axisOrigin[0]:
if posX == xLimitsPos[1]:
justif = 'tr'
offsetX = -text_offset / 4.0
else:
justif = 'tl'
offsetX = +text_offset / 4.0
if axisOrigin[1] == yLimitsPos[1]:
justif = 'bc'
offsetX = 0
offsetY = -text_offset / 2.0
#inkDraw.circle.centerRadius(groupTicks,axisOrigin, 10, [0,0])
if posX == axisOrigin[0]:
if posX == xLimitsPos[1]:
justif = 'br'
offsetX = -text_offset / 4.0
else:
justif = 'bl'
offsetX = +text_offset / 4.0
# value
if xTicks:
inkDraw.text.latex(ExtensionBaseObj, groupTicks, xText, [posX + offsetX, axisOrigin[1] + offsetY], textSizeSmall, refPoint=justif)
if yTicks or yGrid:
# approximate limits to multiples of 10
if ylog10scale:
listTicks = generateListOfTicksLog10(yLimits)
else:
listTicks = generateListOfTicksLinear(yLimits, axisOrigin[1] / scaleY, yTickStep)
for y in listTicks:
if y <= yLimits[1] and y >= yLimits[0]:
# get position, considering the scale and its text
[posY, yText] = getPositionAndText(y, abs(scaleY), ylog10scale, yAxisUnitFactor)
posY = -posY
if yGrid and posY != axisOrigin[1]: # grid lines. Do not draw if grid line is over the axis
inkDraw.line.absCoords(groupTicks, [[xLimitsPos[0], posY], [xLimitsPos[1], posY]], [0, 0], lineStyle=lineStyleGrid)
# intermediate grid lines in case of logarithmic scale
if yGrid and ylog10scale and y < yLimits[1]:
for i in range(2, 10):
aditionalStep = math.log10(i) * scaleY
inkDraw.line.absCoords(groupTicks, [[xLimitsPos[0], posY + aditionalStep], [xLimitsPos[1], posY + aditionalStep]], [0, 0], lineStyle=lineStyleGridFine)
# tick
if yTicks:
if posY != axisOrigin[1]: # don't draw if in the origin
inkDraw.line.relCoords(groupTicks, [[lenghtTicks, 0]], [axisOrigin[0] - lenghtTicks / 2.0, posY], lineStyle=lineStyleTicks)
# sets justification
# inkDraw.text.write(ExtensionBaseObj,'orig='+str(axisOrigin),[axisOrigin[0]+10,axisOrigin[1]-30],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,'xlim='+str(xLimitsPos),[axisOrigin[0]+10,axisOrigin[1]-20],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,'ylim='+str(yLimitsPos),[axisOrigin[0]+10,axisOrigin[1]-10],groupTicks,fontSize=7)
if axisOrigin[0] == xLimitsPos[0]:
justif = 'cr'
offsetX = -text_offset / 2.0
offsetY = 0
#inkDraw.circle.centerRadius(groupTicks,axisOrigin, 10, [0,0],'trash')
if axisOrigin[0] != xLimitsPos[0] and axisOrigin[0] != xLimitsPos[1]:
justif = 'tr'
offsetX = -text_offset / 2.0
offsetY = text_offset / 4.0
#inkDraw.circle.centerRadius(groupTicks,axisOrigin, 10, [0,0])
# inkDraw.text.write(ExtensionBaseObj,str(axisOrigin[0]),[axisOrigin[0]+10,axisOrigin[1]+10],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,str(yLimitsPos[0]*scaleX),[axisOrigin[0]+10,axisOrigin[1]+20],groupTicks,fontSize=7)
if posY == axisOrigin[1]:
if posY == yLimitsPos[1]:
justif = 'tr'
offsetY = text_offset / 4.0
else:
justif = 'br'
offsetY = -text_offset / 4.0
if axisOrigin[0] == xLimitsPos[1]:
justif = 'cl'
offsetX = text_offset / 2.0
offsetY = 0
#inkDraw.circle.centerRadius(groupTicks,axisOrigin, 10, [0,0])
if posY == axisOrigin[1]:
if posY == yLimitsPos[1]:
justif = 'tl'
offsetY = text_offset / 4.0
else:
justif = 'bl'
offsetY = -text_offset / 4.0
# value
if yTicks:
inkDraw.text.latex(ExtensionBaseObj, groupTicks, yText, [axisOrigin[0] + offsetX, (posY + offsetY)], textSizeSmall, refPoint=justif)
ExtensionBaseObj.moveElement(GroupPlot, [position[0] - axisOrigin[0], position[1] - axisOrigin[1]])
# draw axis in the end so it stays on top of other objects
GroupAxis = ExtensionBaseObj.createGroup(GroupPlot, 'Axis')
inkDraw.line.absCoords(GroupAxis, [[xLimitsPos[0], 0], [xLimitsPos[1] + ExtraSpaceArrowX, 0]], [0, axisOrigin[1]], 'Xaxis', lineStyle=lineStyleAxis)
if xLabel: # axis labels
inkDraw.text.latex(ExtensionBaseObj, GroupAxis, xLabel, [xLimitsPos[1] + ExtraSpaceArrowX - text_offset / 3, axisOrigin[1] + text_offset / 2.0], textSize, refPoint='tl')
inkDraw.line.absCoords(GroupAxis, [[0, yLimitsPos[0]], [0, yLimitsPos[1] - ExtraSpaceArrowY]], [axisOrigin[0], 0], 'Yaxis', lineStyle=lineStyleAxis)
if yLabel: # axis labels
inkDraw.text.latex(ExtensionBaseObj, GroupAxis, yLabel, [axisOrigin[0] + text_offset / 2.0, (yLimitsPos[1] - ExtraSpaceArrowY)], textSize, refPoint='tl')
return [GroupPlot, outputLimits, axisOrigin]
@staticmethod
def polar(ExtensionBaseObj, parent, rLim, tLim=[0.0, 360.0], position=[0.0, 0.0],
rLabel='', rlog10scale=False, rTicks=True, tTicks=True, rTickStep=1.0, tTickStep=45.0,
rScale=20, rAxisUnitFactor='', rGrid=False, tGrid=False, forceTextSize=0, forceLineWidth=0, drawAxis=True, ExtraLenghtAxisR=0.0):
"""Creates the axes for polar plot
.. note:: This method uses LaTeX in labels and tick marks if LaTeS support is enabled. This is an optional feature, **enabled by default**. Please refer to :ref:`latexSupport` on how to disable it.
:param ExtensionBaseObj: Most of the times you have to use 'self' from inkscapeMadeEasy related objects
:param parent: parent object
:param rLim: limits of the R axis [r_min,r_max]. If the axis is in log10 scale, then the limits will be rounded to complete one decade.
:param tLim: limits of the theta axis [t_min,t_max]. Values in degrees. Default: [0,360]
:param position: position of the center [x0,y0].
:param rLabel: Label of the R axis. Default: ''
The text can contain any LaTeX command. If you want to write mathematical text, you can enclose it between dollar signs $...$. If LaTeX support is disabled, do not use $.
:param rlog10scale: sets R axis to log10 scale if True. Default: False
- If rlog10scale=True, then the lower limit of rLim must be >=1
:param rTicks: Adds axis ticks to the R axis if True. Default: True
:param tTicks: Adds axis ticks to the theta axis if True. Default: True
:param rTickStep: Value interval between two consecutive ticks on R axis. (Not used if R axis is in log10 scale). Default:1.0
:param tTickStep: Value interval between two consecutive ticks on theta axis. Default:45.0
:param rScale: Distance between each rTickStep in svg units. Default: 20
- If axis is linear, then rScale is the size in svg units of each tick
- If axis is log10, the rScale is the size in svg units of one decade
:param rAxisUnitFactor: extra text to be added to Ticks in both x and y. Default: ''
This is useful when we want to represent interval with different units. example pi, 2pi 3pi, etc.
The text can be any LaTeX text. Keep in mind that this text will be inserted within a mathematical environment $...$, therefore no $ is needed here.
:param rGrid: adds grid lines to R axis if true. Default: False
:param tGrid: adds grid lines to theta axis if true. Default: False
:param forceTextSize: Size of the text. If this parameter is 0.0 then the method will compute an appropriate size. Default: 0.0
:param forceLineWidth: Width of the lines. If this parameter is 0.0 then the method will compute an appropriate size. Default: 0.0
:param drawAxis: control flag of the axis method
- True: draws axis normally
- False: returns the limits and origin position without drawing the axis itself
:param ExtraLenghtAxisR: extra length between the R axis and its label. Default 0.0
:type ExtensionBaseObj: inkscapeMadeEasy object (see example below)
:type parent: inkscapeMadeEasy object (see example below)
:type rLim: list
:type tLim: list
:type position: list
:type rLabel: string
:type rlog10scale: bool
:type rTicks: bool
:type tTicks: bool
:type rTickStep: float
:type tTickStep: float
:type rScale: float
:type rAxisUnitFactor: string
:type rGrid: bool
:type tGrid: bool
:type forceTextSize: float
:type forceLineWidth: float
:type drawAxis: bool
:type ExtraLenghtAxisR: float
:returns: [GroupPlot, outputRLimits, axisOrigin]
- GroupPlot: the axis area object (if drawAxis=False, this output is ``None``)
- outputRLimits: a list with tuples:[(r_min,rPos_min),(r_max,rPos_max)]
- r_min, r_max : The limits of the axis object
- rPos_min, rPos_max : The positions of the limits of the axis object, considering the scaling and units
- axisOrigin [X0,Y0] : A list with the coordinates of the point where the axes cross.
:rtype: list
**Examples**
.. image:: ../imagesDocs/plot_axisPolarParameters_01.png
:width: 800px
"""
if drawAxis:
GroupPlot = ExtensionBaseObj.createGroup(parent, 'Plot')
# sets the scale scaleX and scaleY stores the size of one unit in both axis (linear axis) or the size of a decade in log plots
if rlog10scale:
scaleR = rScale
else:
scaleR = rScale / float(rTickStep)
# font size and other text parameters
if forceTextSize == 0:
textSize = 0.2 * rScale
else:
textSize = forceTextSize
textSizeSmall = 0.8 * textSize # font size for axis ticks
text_offset = textSize # base space for text positioning
ExtraSpaceArrowR = (2.0 + ExtraLenghtAxisR) * text_offset # extra space for drawing arrow on axis
lenghtTicks = textSize / 2.0 # length of the ticks
# create styles
if forceLineWidth == 0:
lineWidth = rScale / 30.0
else:
lineWidth = forceLineWidth
lineWidthGrid = 0.7 * lineWidth
lineWidthGridFine = lineWidthGrid / 2.0
#nameTickerArrowAxis = inkDraw.marker.createArrow1Marker(ExtensionBaseObj, 'ArrowAxis', RenameMode=1, scale=0.4)
lineStyleAxis = inkDraw.lineStyle.set(lineWidth, lineColor=inkDraw.color.gray(0.3))
lineStyleTicks = inkDraw.lineStyle.set(lineWidth, lineColor=inkDraw.color.gray(0.3))
lineStyleGrid = inkDraw.lineStyle.set(lineWidthGrid, lineColor=inkDraw.color.gray(0.7))
lineStyleGridFine = inkDraw.lineStyle.set(lineWidthGridFine, lineColor=inkDraw.color.gray(0.7))
textStyleLarge = inkDraw.textStyle.setSimpleBlack(textSize)
textStyleSmall = inkDraw.textStyle.setSimpleBlack(textSizeSmall, 'center')
# check if limits are valid
if rLim[0] < 0.0 or rLim[0] >= rLim[1]:
sys.stderr.write('Error: rLim is invalid')
return 0
if tLim[0] >= tLim[1]:
sys.stderr.write('Error: tLim is invalid')
return 0
# check if the limits are valid for logarithmic scales.
if rlog10scale:
if rLim[0] < 1 or rLim[1] < 1:
sys.stderr.write('Error: rLim is invalid in logarithmic scale')
return 0
else:
rmin = pow(10, math.floor(math.log10(rLim[0])))
rmax = pow(10, math.ceil(math.log10(rLim[1])))
rLimits = [rmin, rmax]
else:
rLimits = rLim
tLimits = tLim
if abs(tLimits[1] - tLimits[0]) > 360:
tLimits=[0, 360]
if abs(tLimits[1] - tLimits[0]) > 180:
largeArc = True
else:
largeArc = False
# finds the position of the Origin of axis
axisOrigin = [0.0, 0.0]
axisOrigin[0] = findOrigin(rLimits, rlog10scale, scaleR)
axisOrigin[1] = findOrigin(tLimits, False, 1.0)
# computes the positions of the limits on svg, considering the scale
if rlog10scale: # convert limits to position in diagram, including scaling factor
rLimitsPos = [math.log10(x) * scaleR for x in rLimits]
else:
rLimitsPos = [x * scaleR for x in rLimits]
# build the list of tuples with the limits of the plotting area
outputLimits = zip([rLimits[0], rLimits[1]],
[rLimitsPos[0] - axisOrigin[0] + position[0],
rLimitsPos[1] - axisOrigin[0] + position[0]])
if not drawAxis:
return [None, outputLimits, [0,0]]
# axis ticks
groupTicks = ExtensionBaseObj.createGroup(GroupPlot, 'Ticks')
if rTicks or rGrid:
if rlog10scale:
listTicks = generateListOfTicksLog10(rLimits)
else:
listTicks = generateListOfTicksLinear(rLimits, axisOrigin[0] / scaleR, rTickStep)
for r in listTicks:
if r <= rLimits[1] and r >= rLimits[0]:
# get position, considering the scale and its text
[posR, rText] = getPositionAndText(r, scaleR, rlog10scale, rAxisUnitFactor)
if rGrid and posR > 0.0 and r > rLimits[0] and r < rLimits[1]: # grid lines.
if tLimits[1] - tLimits[0] < 360:
inkDraw.arc.centerAngStartAngEnd(groupTicks, [0,0], posR, -tLimits[1], -tLimits[0], [0, 0], lineStyle=lineStyleGrid, largeArc=largeArc) # negative angles bc inkscape is upside down
else:
inkDraw.circle.centerRadius(groupTicks, [0,0], posR, offset=[0, 0], lineStyle=lineStyleGrid)
# intermediate grid lines in case of logarithmic scale
if rGrid and rlog10scale and r < rLimits[1]:
for i in range(2, 10):
aditionalStep = math.log10(i) * scaleR
if tLimits[1] - tLimits[0] < 360:
inkDraw.arc.centerAngStartAngEnd(groupTicks, [0,0], posR + aditionalStep, -tLimits[1], -tLimits[0], [0, 0], lineStyle=lineStyleGridFine, largeArc=largeArc) # negative angles bc inkscape is upside down
else:
inkDraw.circle.centerRadius(groupTicks, [0,0], posR + aditionalStep, offset=[0, 0], lineStyle=lineStyleGridFine)
# tick
if rTicks and posR > 0.0:
inkDraw.arc.centerAngStartAngEnd(groupTicks, [0,0], posR, -tLimits[0] - math.degrees(lenghtTicks / float(posR * 2)), -tLimits[0] + math.degrees(lenghtTicks / float(posR * 2)), [0, 0], lineStyle=lineStyleTicks, largeArc=False)
if rTicks and posR == 0.0:
inkDraw.line.relCoords(groupTicks, [[0, lenghtTicks]], [0, - lenghtTicks / 2.0], lineStyle=lineStyleTicks)
# sets justification
# inkDraw.text.write(ExtensionBaseObj,'orig='+str(axisOrigin),[axisOrigin[0]+10,axisOrigin[1]-30],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,'xlim='+str(xLimitsPos),[axisOrigin[0]+10,axisOrigin[1]-20],groupTicks,fontSize=7)
# inkDraw.text.write(ExtensionBaseObj,'ylim='+str(yLimitsPos),[axisOrigin[0]+10,axisOrigin[1]-10],groupTicks,fontSize=7)
if posR == 0:
justif = 'cc'
offsetX = 0
offsetY = text_offset*1.2
posX = posR * math.cos(math.radians(-tLimits[0])) + offsetX
posY = posR * math.sin(math.radians(-tLimits[0])) + offsetY
else:
offsetT = text_offset*1.2
if tLimits[1] - tLimits[0] > 340:
offsetR = text_offset/2.0
else:
offsetR = 0
justif = 'cc'
posX = (posR + offsetR) * math.cos(math.radians(-tLimits[0])) + offsetT*math.sin(math.radians(tLimits[0]))
posY = (posR + offsetR) * math.sin(math.radians(-tLimits[0])) + offsetT*math.cos(math.radians(-tLimits[0]))
# value
#inkDraw.circle.centerRadius(groupTicks,[posX,posY], 1)
if rTicks:
inkDraw.text.latex(ExtensionBaseObj, groupTicks, rText, [posX, posY], textSizeSmall, refPoint=justif)
if tTicks or tGrid:
listTicks = generateListOfTicksLinear(tLimits, axisOrigin[1], tTickStep)
for t in listTicks:
if t <= tLimits[1] and t >= tLimits[0]:
c = math.cos(math.radians(-t)) # negative angles bc inkscape is upside down
s = math.sin(math.radians(-t)) # negative angles bc inkscape is upside down
# get position, considering the scale and its text
if inkDraw.useLatex:
tText = '$' + str(t) + '$'
else:
tText = str(t)
if (tGrid and t > tLimits[0] and t < tLimits[1]) or (tGrid and t == tLimits[0] and tLimits[1] - tLimits[0] >= 360):
if rLimitsPos[0] == 0: # if rmin is zero, then make the lines to reach the center
if not rlog10scale:
P1 = [(rLimitsPos[0] + scaleR * rTickStep / 2) * c, (rLimitsPos[0] + scaleR * rTickStep / 2) * s]
else:
P1 = [(rLimitsPos[0] + 0.3 * scaleR) * c, (rLimitsPos[0] + 0.3 * scaleR) * s]
else:
P1 = [rLimitsPos[0] * c, rLimitsPos[0] * s]
P2 = [rLimitsPos[1] * c, rLimitsPos[1] * s]
inkDraw.line.absCoords(groupTicks, [P1, P2], [0,0], lineStyle=lineStyleGrid)
# tick
if (tTicks and t != tLimits[1]) or (tTicks and t == tLimits[1] and tLimits[1] - tLimits[0] < 360):
P1 = [(rLimitsPos[1] - lenghtTicks / 2.0) * c, (rLimitsPos[1] - lenghtTicks / 2.0) * s]
inkDraw.line.relCoords(groupTicks, [[lenghtTicks * c, lenghtTicks * s]], P1, lineStyle=lineStyleTicks)
if c > 1.0e-4:
justif = 'cl'
else:
if c < -1.0e-4:
justif = 'cr'
else:
justif = 'cc'
offsetR = text_offset
posX = (rLimitsPos[1] + offsetR) * c
posY = (rLimitsPos[1] + offsetR) * s
# value
if (tTicks and t != tLimits[1]) or (tTicks and t == tLimits[1] and tLimits[1] - tLimits[0] < 360):
inkDraw.text.latex(ExtensionBaseObj, groupTicks, tText, [posX, posY], textSizeSmall, refPoint=justif)
ExtensionBaseObj.moveElement(GroupPlot, position)
# draw axis in the end so it stays on top of other objects
GroupAxis = ExtensionBaseObj.createGroup(GroupPlot, 'Axis')
c0 = math.cos(math.radians(-tLimits[0])) # negative angles bc inkscape is upside down
s0 = math.sin(math.radians(-tLimits[0])) # negative angles bc inkscape is upside down
c1 = math.cos(math.radians(-tLimits[1])) # negative angles bc inkscape is upside down
s1 = math.sin(math.radians(-tLimits[1])) # negative angles bc inkscape is upside down
P1 = [rLimitsPos[0] * c0, rLimitsPos[0] * s0]
P2 = [rLimitsPos[1] * c0, rLimitsPos[1] * s0]
P3 = [rLimitsPos[1] * c1, rLimitsPos[1] * s1]
P4 = [rLimitsPos[0] * c1, rLimitsPos[0] * s1]
if tLimits[1] - tLimits[0] < 360:
inkDraw.line.absCoords(GroupAxis, [P1, P2], [0, 0], lineStyle=lineStyleAxis)
inkDraw.line.absCoords(GroupAxis, [P3, P4], [0, 0], lineStyle=lineStyleAxis)
else:
if rTicks:
inkDraw.line.absCoords(GroupAxis, [P1, P2], [0, 0], lineStyle=lineStyleAxis)
if tLimits[1] - tLimits[0] < 360:
if rLimitsPos[0] > 0:
inkDraw.arc.startEndRadius(GroupAxis, P1, P4, rLimitsPos[0], offset=[0, 0], lineStyle=lineStyleAxis, flagRightOf=True, flagOpen=True, largeArc=largeArc)
inkDraw.arc.startEndRadius(GroupAxis, P2, P3, rLimitsPos[1], offset=[0, 0], lineStyle=lineStyleAxis, flagRightOf=True, flagOpen=True, largeArc=largeArc)
else:
if rLimitsPos[0] > 0:
inkDraw.circle.centerRadius(GroupAxis, [0,0], rLimitsPos[0], offset=[0, 0], lineStyle=lineStyleAxis)
inkDraw.circle.centerRadius(GroupAxis, [0,0], rLimitsPos[1], offset=[0, 0], lineStyle=lineStyleAxis)
#inkDraw.line.relCoords(GroupAxis, [ [(rLimitsPos[1] + ExtraSpaceArrowR)* math.cos(math.radians(-tLimits[0])),(rLimitsPos[1] + ExtraSpaceArrowR)* math.sin(math.radians(-tLimits[0]))] ], axisOrigin, 'Raxis',lineStyle=lineStyleAxis)
if rLabel: # axis labels
c0 = math.cos(math.radians(-tLimits[0]) + text_offset / rLimitsPos[1]) # negative angles bc inkscape is upside down
s0 = math.sin(math.radians(-tLimits[0]) + text_offset / rLimitsPos[1]) # negative angles bc inkscape is upside down
posText = [(rLimitsPos[1] + ExtraSpaceArrowR) * c0, (rLimitsPos[1] + ExtraSpaceArrowR) * s0]
inkDraw.text.latex(ExtensionBaseObj, GroupAxis, rLabel, posText, textSize, refPoint='cl')
return [GroupPlot, outputLimits, [0,0]]
class plot():
""" This is a class with different methods for making plots.
This class contains only static methods so that you don't have to inherit this in your class
.. note:: This class uses LaTeX in labels and tick marks if LaTeX support is enabled. This is an optional feature, **enabled by default**. Please refer to :ref:`latexSupport` on how to disable it.
"""
@staticmethod
def cartesian(ExtensionBaseObj, parent, xData, yData, position=[0, 0], xLabel='', yLabel='',
xlog10scale=False, ylog10scale=False, xTicks=True, yTicks=True, xTickStep=1.0, yTickStep=1.0,
xScale=20, yScale=20, xExtraText='', yExtraText='',
xGrid=False, yGrid=False, generalAspectFactorAxis=1.0, lineStylePlot=inkDraw.lineStyle.setSimpleBlack(),
forceXlim=None, forceYlim=None, drawAxis=True, ExtraLenghtAxisX=0.0, ExtraLenghtAxisY=0.0):
"""Cartesian Plot
.. note:: This method uses LaTeX in labels and tick marks if the support is enabled. This is an optional feature, **enabled by default**. Please refer to :ref:`latexSupport` on how to disable it.
:param ExtensionBaseObj: Most of the times you have to use 'self' from inkscapeMadeEasy related objects
:param parent: parent object
:param xData: list of x data
:param yData: list of y data
:param position: position of the point where x and y axis cross [x0,y0]. The point where the axis cross depend on the limits.
- If xLimits comprises the origin x=0, then the Y axis crosses the X axis at x=0.
- If xLimits contains only negative numbers, then the Y axis crosses the X axis at x_max.
- If xLimits contains only positive numbers, then the Y axis crosses the X axis at x_min.
:param xLabel: Label of the X axis. Default: ''
The text can contain any LaTeX command. If you want to write mathematical text, you can enclose it between dollar signs $...$. If LaTeX support is disabled, do not use $.
:param yLabel: Label of the Y axis. Default: ''
The text can contain any LaTeX command. If you want to write mathematical text, you can enclose it between dollar signs $...$. If LaTeX support is disabled, do not use $.
:param xlog10scale: sets X axis to log10 scale if True. Default: False
:param ylog10scale: sets Y axis to log10 scale if True. Default: False
:param xTicks: Adds axis ticks to the X axis if True. Default: True
:param yTicks: Adds axis ticks to the Y axis if True. Default: True
:param xTickStep: Value interval between two consecutive ticks on X axis. (Not used if X axis is in log10 scale). Default:1.0
:param yTickStep: Value interval between two consecutive ticks on Y axis. (Not used if Y axis is in log10 scale). Default:1.0
:param xScale: Distance between each xTickStep in svg units. Default: 20
- If axis is linear, then xScale is the size in svg units of each tick
- If axis is log10, the xScale is the size in svg units of one decade
:param yScale: Distance between each xTickStep in svg units. Default: 20
- If axis is linear, then yScale is the size in svg units of each tick
- If axis is log10, the yScale is the size in svg units of one decade
:param xExtraText: extra text to be added to Ticks in both x and y. Default: ''
This is useful when we want to represent interval with different units. example pi, 2pi 3pi, etc.
The text can be any LaTeX text. Keep in mind that this text will be inserted within a mathematical environment $...$, therefore no $ is needed here.
:param yExtraText: extra text to be added to the ticks in Y axis. Default: ''
This is useful when we want to represent interval with different units. example pi, 2pi 3pi, etc.
The text can be any LaTeX text. Keep in mind that this text will be inserted within a mathematical environment $...$, therefore no $ is needed here.
:param xGrid: adds grid lines to X axis if true. Default: False
:param yGrid: adds grid lines to Y axis if true. Default: False
:param generalAspectFactorAxis: regulates the general aspect ratio between grid lines, text and Ticks separations. Default: 1.0
:param lineStylePlot: line style to be used to plot the data. See class ``inkscapeMadeEasy_Draw.lineStyle``. Default: lineStylePlot=inkDraw.lineStyle.setSimpleBlack()
:param forceXlim: forces limits of X axis to these limits. These limits affect the axis only, that is, all xData is plotted despite of these limits. Obs: for logarithmic scale, the limits are always adjusted to complete the decade. Usually you don't need this for logarithmic scale
- if forceXlim=None Limits will be defined by min and max of xData (Default)
- if forceXlim=[xMin,xMax] then these limits will be used.
:param forceYlim: forces limits of Y axis to these limits. These limits affect the axis only, that is, all yData is plotted despite of these limits. Obs: for logarithmic scale, the limits are always adjusted to complete the decade. Usually you don't need this for logarithmic scale
- if forceYlim=None Limits will be defined by min and max of yData (Default)
- if forceYlim=[yMin,yMax] then these limits will be used.
:param drawAxis: control flag of the axis method
- True: draws axis normally
- False: returns the limits and origin position without drawing the axis itself
:param ExtraLenghtAxisX: extra length left near the arrow pointer of X axis. Default 0.0
:param ExtraLenghtAxisY: extra length left near the arrow pointer of Y axis. Default 0.0
:type ExtensionBaseObj: inkscapeMadeEasy object (see example below)
:type parent: inkscapeMadeEasy object (see example below)
:type xData: list
:type yData: list
:type position: list
:type xLabel: string
:type yLabel: string
:type xlog10scale: bool
:type ylog10scale: bool
:type xTicks: bool
:type yTicks: bool
:type xTickStep: float
:type yTickStep: float
:type xScale: float
:type yScale: float
:type xExtraText: string
:type yExtraText: string
:type xGrid: bool
:type yGrid: bool
:type generalAspectFactorAxis: float
:type lineStylePlot: lineStyle object
:type forceXlim: list
:type forceYlim: list
:type drawAxis: bool
:type ExtraLenghtAxisX: float
:type ExtraLenghtAxisY: float
:returns: [GroupPlot, outputLimits, axisOrigin]
- GroupPlot: the plot object
- outputLimits: a list with tuples:[(x_min,xPos_min),(x_max,xPos_max),(y_min,yPos_min),(y_max,yPos_max)]
- x_min, x_max, y_min, y_max: The limits of the axis object
- xPos_min, xPos_max, yPos_min, yPos_max: The positions of the limits of the axis object, considering the scaling and units
- axisOrigin [X0,Y0]: A list with the coordinates of the point where the axes cross.
:rtype: list
.. note:: If any of the axis are log10, then the method ignores any pairs of (x,y) data with invalid coordinates, that is, if xData and/or yData is less than or equal to 0.0 (they would result in complex log10... =P ). The method will create a text object alongside your plot warning this.
.. note:: If any of the axis are linear, the method will ignore any value greater than 10.000 (in absolute value). This avoids plotting too big numbers (basically inf =) ). The method will create a text object alongside your plot warning this.
**Example**
>>> import inkex
>>> import inkscapeMadeEasy_Base as inkBase
>>> import inkscapeMadeEasy_Draw as inkDraw