Source code for s3dlib.cmap_utilities

# Copyright (C) Frank Zaverl, Jr.
# See file LICENSE for license information.

'''
Module containing functions to create Matplotlib color maps.

'''
# Not much going on here but these functions simplify constructing
# colormaps during development.  Most custom colormaps can be made
# with just one or two lines of code which are easier to comprehend.
# Got tired of remembering which library modules and what methods ;-)

import string 
import random
import copy

import numpy as np

import matplotlib as mpl
from matplotlib import colors     # update for v_1.2.0
from matplotlib.colors import ListedColormap, LinearSegmentedColormap


[docs]def rgb_cmap_gradient(lowColor='k', highColor='w', name=None, mirrored=False) : """ A linear-in-RGB-space Colormap. Parameters ---------- locColor : color, optional, default: 'black' Color at the low end of the Colormap range. highColor : color, optional, default: 'white' Color at the high end of the Colormap range. name : str, optional The registered name to identify the colormap. If it's None, the name will be a string of 8 random characters. mirrored : bool If True, colormap is divided into two linear segments with the lowColor at the low and high values, the highColr in the middle. Returns ------- LinearSegmentedColormap An instance of a colormap. """ if not isinstance(mirrored, bool ) : raise ValueError('Invalid mirrored argument (bool required): ' + str(name)) call_name = name if name is None : call_name = ''.join(random.choices(string.ascii_uppercase , k = 8)) else : if not isinstance(name, str ): raise ValueError('Invalid name argument (str required): ' + str(name)) if not colors.is_color_like(lowColor) : raise ValueError('Invalid negColor argument: ' + str(lowColor)) if not colors.is_color_like(highColor) : raise ValueError('Invalid posColor argument: ' + str(highColor)) clist = [lowColor,highColor] if mirrored : clist = [lowColor,highColor,lowColor] cmap = LinearSegmentedColormap.from_list(call_name, clist ) if name is not None : mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 return cmap
def _smoothHue(lowHue,hiHue,eps,numbSegs) : # return an array (lenght of numbSegs) of 'smoothed' hue values from low to high #----------------------------------------------------- def _transformHue(x,eps) : # .................................... def sgm( x, c) : xref= x - c p = 6*xref - 1 t1 = np.power(np.abs(p),eps) t2 = np.sign(p) d = (1+t1*t2)/2 val = c + d/3 return val # .................................... y = sgm(x,0.0) third, twothirds = 1/3, 2/3 y = np.where( x >third , sgm(x,third), y ) y = np.where( x >twothirds , sgm(x,twothirds), y ) return y #----------------------------------------------------- xstart = _transformHue(np.mod(lowHue,1) ,1/eps) #... inverse function xend = _transformHue(np.mod(hiHue,1),1/eps) #... inverse function xstart = xstart if lowHue<1.0 else (xstart+1) xend = xend if hiHue<1.0 else (xend+1) y = np.linspace(xstart, xend, numbSegs) y = np.mod(y,1) return _transformHue(y,eps)
[docs]def hsv_cmap_gradient(lowHSV=[0,1,1], hiHSV=[1,1,1], name=None, mirrored=False, smooth=None) : """ A linear-in-HSV-space Colormap. Using hSV or hSVA values for HSV color. SVA values are in the range [0,1]. The h values are in the range [0,2] so that Hue is mod(h,1). Parameters ---------- lowHSV : 3 or 4 array or string, optional, default: [0,1,1], , 'red' HSV, HSVA color at the low end of the Colormap range. If a string, a named color (may be proceeded by a '+') hiHSV : 3 or 4 array or string, optional, default: [1,1,1] , '+red' HSV, HSVA color at the high end of the Colormap range. If a string, a named color (may be proceeded by a '+') name : str, optional, default: None The registered name to identify the colormap. If it's None, name is assigned a string of 8 random characters. mirrored : bool If True, colormap is divided into two linear segments with the lowHSV at the low and high values, the highColr in the middle. smooth: float, optional, default: None Controls the ratio of the amount of CMY to RGB color. CMY is extended relative to the RGB hues for values greater than one (relative to standard HSV colormap). RGB is extended relative to the CMY hues for values less than one. Range is [.1,10] Returns ------- ListedColormap An instance of a colormap. """ # ............................................................ def stringToHSV(sVal) : addOne = False if sVal[0] == '+': addOne = True sVal = sVal[1:] h,s,v = colors.rgb_to_hsv(colors.to_rgb(sVal)) if addOne : h += 1 return [h,s,v] # ............................................................ if not isinstance(mirrored, bool ) : raise ValueError('Invalid mirrored argument (boolean required): ' + str(name)) if name is not None : if not isinstance(name, str ): raise ValueError('Invalid name argument (str required): ' + str(name)) if isinstance(lowHSV, str ): lowHSV= stringToHSV(lowHSV) if isinstance(hiHSV, str ): hiHSV= stringToHSV(hiHSV) if not isinstance(lowHSV,(list, tuple, np.ndarray)) : raise ValueError('Invalid lowHSV argument: ' + str(lowHSV)) if not isinstance(hiHSV,(list, tuple, np.ndarray)) : raise ValueError('Invalid highHSVarg argument: ' + str(hiHSV)) lowColor, highColor = list(lowHSV), list(hiHSV) if len(lowColor) == 3 : lowColor.append(1.0) if len(highColor) == 3 : highColor.append(1.0) if len(lowColor) != 4 or len(highColor) != 4 : raise ValueError('Invalid HSVarg argument list length ') numbSegs = 256 delta = np.subtract(highColor,lowColor) x = np.linspace(0.0,1.0,num=numbSegs) if smooth is not None : hH = _smoothHue(lowColor[0],highColor[0],smooth,numbSegs) clist = [] for i in range( len(x)): n = x[i] h,s,v,a = np.add(lowColor, np.multiply(delta,n) ) if smooth is None : h = np.mod(h, 1) else: h = hH[i] r,g,b = colors.hsv_to_rgb([h,s,v]) # update for v_1.2.0 clist.append([r,g,b,a]) cmap = ListedColormap(clist) if mirrored : cmap = mirrored_cmap( cmap, name=name ) return cmap # already registered if name is None : name = ''.join(random.choices(string.ascii_uppercase , k = 8)) mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 cmap.name = name return cmap
[docs]def binary_cmap(negColor='b', posColor='r', name=None, bndry=None ) : """ A two-color Colormap. Parameters ---------- negColor : color, optional, default: 'blue' Color at the low end of the Colormap range. posColor : color, optional, default: 'red' Color at the high end of the Colormap range. name : str, optional, default: None The registered name to identify the colormap. If it's None, name is assigned a string of 8 random characters. bndry : float, optional, default: 0.5 The division between the negColor and posColor, with range from 0.03 to 0.97 Returns ------- ListedColormap An instance of a colormap. """ if name is not None : if not isinstance(name, str ): raise ValueError('Invalid name argument (str required): ' + str(name)) if not colors.is_color_like(negColor) : raise ValueError('Invalid negColor argument: ' + str(negColor)) if not colors.is_color_like(posColor) : raise ValueError('Invalid posColor argument: ' + str(posColor)) if bndry is None : cmap = ListedColormap([negColor,posColor]) else : if (bndry<0.03 or bndry>0.97) : raise ValueError('Invalid bndry argument, found {}'.format(bndry)) colorArr = np.array([colors.to_rgba(posColor)]*256) division = int(bndry*256) colorArr[:division, :] = np.array(colors.to_rgba(negColor)) cmap = ListedColormap(colorArr) if name is None : name = ''.join(random.choices(string.ascii_uppercase , k = 8)) mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 cmap.name = name return cmap
[docs]def hue_cmap(lowHue=0, hiHue=None, smooth=1.6, name=None ) : """ A 'smooth-HSV' colormap. Non linear adjustment of Hue in a HSV colormap. For the HSV colors, S and V are 1. The h values are shifted based on the smoothing parameter. Parameters ---------- lowHue : float or string, optional, default: 0 Hue at the low end of the Colormap range. Values are in the range [0,2]. If a string, the hue of a named color (may be proceeded by a '+') hiHue : float or string, optional, default: 1 Hue at the upper end of the Colormap range. Values are in the range [0,2]. If a string, the hue of a named color (may be proceeded by a '+') smooth: float, optional, default: 1.6 Controls the ratio of the amount of CMY to RGB color. CMY is extended relative to the RGB hues for values greater than one (relative to standard HSV colormap). RGB is extended relative to the CMY hues for values less than one. Range is [.1,10] name : str, optional, default: None The registered name to identify the colormap. If it's None, name is assigned a string of 8 random characters. Returns ------- ListedColormap An instance of a colormap. """ # ............................................................ def stringToHue(sVal) : addOne = False if sVal[0] == '+': addOne = True sVal = sVal[1:] h,_,_ = colors.rgb_to_hsv(colors.to_rgb(sVal)) if addOne : h += 1 return h # ............................................................ if (smooth<0.1 or smooth>10) : raise ValueError('smooth must be between 0.1 and 10. , found {}'.format(smooth)) if isinstance(lowHue, str ): lowHue= stringToHue(lowHue) if hiHue is None: hiHue = lowHue+1 else: if isinstance(hiHue, str ): hiHue= stringToHue(hiHue) rng = 0.001 oneLow,oneHi = 1.0-rng , 1.0+rng isOne = smooth>oneLow and smooth<oneHi if isOne : delta = np.subtract(hiHue,lowHue) x = np.linspace(0, 1, 256) h = np.add(lowHue, np.multiply(delta,x) ) h = np.mod(h,1) else : h = _smoothHue(lowHue,hiHue,smooth,256) one = np.ones(len(h)) hsv = np.transpose([h,one,one]) #rgb = cm.mpl.colors.hsv_to_rgb(hsv) rgb = colors.hsv_to_rgb(hsv) # update for v_1.2.0 cmap = colors.ListedColormap(rgb) if name is None : name = ''.join(random.choices(string.ascii_uppercase , k = 8)) mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 cmap.name = name return cmap
[docs]def stitch_cmap( *maps, bndry=None, name=None) : """ Colormap composed of multiple colormaps. Parameters ---------- maps : str or Colormap, optional A Colormap instance or registered colormap name bndry : scalar or list, default: None Boundary between colormaps. If a list, the number of values must be one less than the number of maps. The list values must be in assending order. If None, input colormaps are evenly spaced in the returned colormap. The bndry values are in the range 0+ to 1-. name : str, optional The registered name to identify the colormap. If it's None, the name will be assigned a string of 8 random characters. Returns ------- ListedColormap An instance of a colormap. """ numbMaps = len(maps) if numbMaps == 1 : raise ValueError('Only one cmap entered, need two or greater') if bndry is None : bndry = [ i/numbMaps for i in range(1,numbMaps) ] else : # allow single bndry to be input as a float if isinstance(bndry, float) : bndry = [bndry] numbBndry = len(bndry) if numbBndry != (numbMaps-1) : strgMsg = 'Number of boundaries, {}, is NOT equal to one less that the number of maps, {}. ' raise ValueError(strgMsg.format(numbBndry,numbMaps)) bndry.append(1.0) cmapList = [] for cmap in maps : if isinstance(cmap,str) : cmap = mpl.colormaps[cmap] # update for v_1.2.0 cmapList.append(cmap) N = 256 Nbndry = np.subtract(np.multiply(bndry,N),1) mapIndex, colorIndexStart = 0, 0 clist = [] for i in range(N) : if i > Nbndry[mapIndex] : mapIndex += 1 colorIndexStart = i d = 1/(Nbndry[mapIndex]-colorIndexStart) index = d*(i-colorIndexStart) clist.append( cmapList[mapIndex](index) ) cmap = ListedColormap(clist) if name is None : name = ''.join(random.choices(string.ascii_uppercase , k = 8)) mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 cmap.name = name return cmap
[docs]def stitch_color(*colorArr, bndry=None, name=None ) : """ Colormap composed of multiple colors. Parameters ---------- *colorArr : colors bndry : scalar or list, default: None Boundary between colors. If a list, the number of values must be one less than the number of maps. The list values must be in assending order. If None, input colors are evenly spaced in the returned colormap. The bndry values are in the range 0+ to 1-. name : str, optional The registered name to identify the colormap. If it's None, the name will assigned be a string of 8 random characters. Returns ------- ListedColormap An instance of a colormap. """ numbColors = len(colorArr) if numbColors == 1 : raise ValueError('Only one cmap entered, need two or greater') if bndry is None : bndry = [ i/numbColors for i in range(1,numbColors) ] else : # allow single bndry to be input as a float if isinstance(bndry, float) : bndry = [bndry] numbBndry = len(bndry) if numbBndry != (numbColors-1) : strgMsg = 'Number of boundaries, {}, is NOT equal to one less that the number of maps, {}. ' raise ValueError(strgMsg.format(numbBndry,numbColors)) RGBAvals = [ colors.to_rgba(c) for c in colorArr ] RGBAvals = np.array(RGBAvals) N=256 bIndx = [ int(N*b) for b in bndry ] RGBA = np.tile(RGBAvals[0],(N,1)) for i,bI in enumerate(bIndx) : RGBA[bI:] = RGBAvals[i+1] cmap = ListedColormap(RGBA) if name is None : name = ''.join(random.choices(string.ascii_uppercase , k = 8)) mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 cmap.name = name return cmap
[docs]def alpha_cmap( cmap, alpha, constant=False, name=None ) : """ Set the Colormap alpha channel. Parameters ---------- cmap : str or Colormap, optional A Colormap instance or registered colormap name alpha : scalar Value set for the color alpha channel. The alpha values are in the range 0+ to 1-. constant : bool { True, False }, optional, False If False, alpha channel values are multiplied by alpha. If True, all alpha channels are assigned to a constant alpha. name : str, optional The registered name to identify the colormap. If it's None, the name assigned the colormap name with '_a' at the end characters. Returns ------- ListedColormap An instance of a colormap. """ if alpha<0.0 or alpha>1.0 : raise ValueError('alpha must be between 0 and 1, found {}'.format(alpha)) if isinstance(cmap,str) : cmap = mpl.colormaps[cmap] # update for v_1.2.0 if name is None : name = cmap.name + '_a' if isinstance(cmap,LinearSegmentedColormap) : # LinearSegmentedColormap ... cdict = copy.copy(cmap._segmentdata) cdict['alpha'] = [ (0.0, alpha,alpha),(1.0, alpha,alpha) ] newCmap = LinearSegmentedColormap(name,cdict) mpl.colormaps.register(newCmap,name=name) # update for v_1.2.0 else : # ListedColormap ............ colorArr = copy.copy(cmap.colors) if not constant : colorArr = np.array(colorArr) if colorArr.shape[1] == 4 : alpha = alpha*colorArr[:,3] colorArr = np.insert(colorArr,3,alpha,axis=1)[:,:4] newCmap = ListedColormap(colorArr,name) mpl.colormaps.register(newCmap,name=name) # update for v_1.2.0 return newCmap
[docs]def mirrored_cmap( cmap, name=None, rev=False) : """ A mirrored colormap. Parameters ---------- cmap : str or Colormap, optional A Colormap instance or registered colormap name. name : str, optional The registered name to identify the colormap. If None, '_m' will be appended to the colormap name. rev : boolean {True, False}, default: False If True, the reversed colormap will be used. """ if isinstance(cmap,str) : cmap = mpl.colormaps[cmap] # update for v_1.2.0 if name is None : name = cmap.name + '_m' if rev : name += 'r' numbSegs = 256 x = np.linspace(0.0,1.0,num=numbSegs) n = 1-abs( 2.0*x - 1.0 ) if rev : n = 1-n clist =cmap(n) cmap = ListedColormap(clist) mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 cmap.name = name return cmap
[docs]def reversed_cmap( cmap, name=None ) : """ A reversed colormap. Parameters ---------- cmap : str or Colormap, optional A Colormap instance or registered colormap name name : str, optional The registered name to identify the colormap. If None, '_r' will be appended to the colormap name. """ # for convenience to eliminate need for extra import. # Basically, same as Matplot colors.Colormap .reversed() method current_name = None if isinstance(cmap,str) : current_name = cmap cmap = mpl.colormaps[cmap] # update for v_1.2.0 else: current_name = cmap.name # determine if revered cmap already exists. new_name = current_name + '_r' if name is not None : new_name = name try: cmap = mpl.colormaps[new_name] return cmap except : pass cmap = cmap.reversed() mpl.colormaps.register(cmap,name=new_name) # update for v_1.2.0 cmap.name = new_name return cmap
[docs]def op_cmap(operation,rgb=True,name=None): """ A Colormap defined by a function argument. Parameters ---------- operation : function object Function that takes one argument, a Numpy array of float values in the range from 0 to 1. The function returns a 3xN color value. rgb : bool {True, False}, optional, default: True By default, RGB color values are returned by the operation function. If set False, the operation returns HSV color values. name : str, optional, default: None The registered name to identify the colormap. If it's None, the operatonal function name is assigned to the cmap name if not a lambda function. If a lamddda function, the name is assigned a string of 8 random characters. Returns ------- ListedColormap An instance of a colormap. """ # ---------------------------------------- def getFunctionName(op,xName=None) : # following is a copy from surface.py if xName is not None : return xName fobar = lambda x : x if op.__name__ != fobar.__name__ : name = op.__name__ else : name = None return name # ---------------------------------------- name = getFunctionName(operation,name) numbSegs = 256 x = np.linspace(0.0,1.0,num=numbSegs) clist = operation(x) clist = np.array(clist).T hasAlpha = clist.shape[1] == 4 if not rgb : if hasAlpha : alp = clist[:,[3]] clist = clist[:,[0,1,2]] #clist = cm.colors.hsv_to_rgb(clist) clist = colors.hsv_to_rgb(clist) # update for v_1.2.0 clist = np.append(clist,alp,1) else : #clist = cm.colors.hsv_to_rgb(clist) clist = colors.hsv_to_rgb(clist) # update for v_1.2.0 cmap = ListedColormap(clist) if name is None : name = ''.join(random.choices(string.ascii_uppercase , k = 8)) mpl.colormaps.register(cmap,name=name) # update for v_1.2.0 cmap.name = name return cmap
[docs]def op_alpha_cmap(cmap,operation,fit=True,name=None): """ A Colormap modified by functional values of alpha. Parameters ---------- cmap : str or Colormap, optional A Colormap instance or registered colormap name operation : function object Function that takes one argument, a Numpy array of float values in the range from 0 to 1. The function returns a Numpy array of float values in the range from 0 to 1. name : str, optional, default: None The registered name to identify the colormap. If it's None, the map is not registered if a lambda function is the operation argument, otherwise, the operatonal function name is assigned to the cmap name. fit : bool, optional, default: True If True, the values return by the operation function will be fit to the range 0 to 1. Returns ------- ListedColormap An instance of a colormap. """ # ---------------------------------------- def getFunctionName(op,xName=None) : # following is a copy from surface.py if xName is not None : return xName fobar = lambda x : x if op.__name__ != fobar.__name__ : name = op.__name__ else : name = None return name # ---------------------------------------- def fitBounds(x) : mV,xV = np.amin(x),np.amax(x) return (x - mV)/(xV - mV) # ---------------------------------------- name = getFunctionName(operation,name) if isinstance(cmap,str) : cmap = mpl.colormaps[cmap] # update for v_1.2.0 if name is None : name = cmap.name + '_a' numbSegs = 256 x = np.linspace(0.0,1.0,num=numbSegs) alphalist = operation(x) if fit : alphalist = fitBounds(alphalist) colorList = cmap(x).T colorList[3:] = alphalist newCmap = ListedColormap(colorList.T, name=name) mpl.colormaps.register(newCmap,name=name) # update for v_1.2.0 return newCmap
[docs]def section_cmap(cmap,lowIndx,hiIndx,name=None) : """ A Colormap from a section of a colormap. Parameters ---------- cmap : str or Colormap, optional A Colormap instance or registered colormap name lowIndx : float Value of the start of the input colormap. Range is 0 to 0.97. hiIndx : float Value of the end of the input colormap. Range is 0.03 to 1.0. name : str, optional The registered name to identify the colormap. If None, the name will be a string of random characters and the map is not registered. Returns ------- ListedColormap An instance of a colormap. """ # ------------------------------------------------ def opFunc(t,cmap) : # update for v_1.2.0 return mpl.colormaps.get_cmap(cmap)(lowIndx + (hiIndx-lowIndx)*t).T # update for v_1.2.0 # ------------------------------------------------ if ( lowIndx <0.0 or lowIndx >0.97) : raise ValueError('Error: required that 0.0 <= lowIndx <= 0.97. , found {}'.format(lowIndx)) if ( hiIndx <0.03 or hiIndx >1.0) : raise ValueError('Error: required that 0.03 <= hiIndx <= 1.0. , found {}'.format(hiIndx)) indxRng = hiIndx-lowIndx if indxRng < 0.05 : raise ValueError('Error: range of lowIndx to hiIndex is > 0.1 , found {}'.format(indxRng)) if name is None : name = ''.join(random.choices(string.ascii_uppercase , k = 8)) if isinstance(cmap,str) : cmap = mpl.colormaps[cmap] # update for v_1.2.0 op_lFunc = lambda t : opFunc(t,cmap) # update for v_1.2.0 return op_cmap(op_lFunc,name=name) # update for v_1.2.0
[docs]class DualCmap() : def __init__(self,xcmap,ycmap,kind='sum',norm=True,name=None) : """ A 2D colormap. Parameters ---------- xcmap : colormap or string of a colormap name. ycmap : colormap or string of a colormap name. kind : string {'sum','ave','ave2','srt'} or number, default: 'sum' Method of combining colormaps. norm : bool, optional, default True Normalize array values in __call__ name : string,optional. name to identify the dual colormap. """ # FutDev: possible blend color modes? # Need documentation explaination for 'kind'. self._name = name if name is not None else '' if isinstance(xcmap,str) : xcmap = mpl.colormaps[xcmap] # update for v_1.2.0 if isinstance(ycmap,str) : ycmap = mpl.colormaps[ycmap] # update for v_1.2.0 self.xmap = xcmap self.ymap = ycmap self._kind = kind self._norm = norm self.pow = 0.5 if isinstance(kind,(int,float)): self.distfact(kind) return
[docs] def __call__(self,x,y): """ RGBA color values from x,y positions. Parameters ---------- x,y : arrays of N floats with values in the interval [0,1]. Normalization will occur if 'norm' is set to True in the constructor. Both arrays must be of the same length, N. Returns ------- RGBA values with N shape (4,N) """ if self._norm : x = (x-np.min(x))/(np.max(x)-np.min(x)) y = (y-np.min(y))/(np.max(y)-np.min(y)) color = np.add(self.xmap(x),self.ymap(y)) if self._kind == 'ave' : color /= 2.0 color = np.clip(color,0.0,1.0) if self._kind == 'ave2' : color /= 2.0 if self._kind == 'srt' : color = np.sqrt(color) if self._kind == 'pwr' : color = np.power(color,self.pow) return color.T
def __str__(self) : """DualCmap object string representation.""" name = self.__class__.__name__ kind = self._kind if kind == 'pwr' : kind = '{}, {:.1f}'.format(kind,self.pow) bs = ' ( {} )'.format(kind) sz = ': {}, {}'.format(self.xmap.name,self.ymap.name) val = name+bs+sz return val @property def name(self) : """Descriptive identifier for the DualCmap object.""" return self._name @name.setter def name(self,val) : self._name = str(val) return @property def norm(self) : """Boolean indicator for value normalization""" return self._norm @norm.setter def norm(self,val) : self._norm = val return
[docs] def distfact( self, p ) : """ Set distribution factor of resulting color values. Parameters ---------- p : float in the range [0.2, 4] For a value of 1, there is no redistribution. A value of 0.5 is equivalent to using the constructor argument of kind='srt'. Returns ------- self : DualCmap object """ if (p<0.2) or (p>4.0) : raise ValueError('distfact {} must be between 0.2 and 4.0'.format(str(p))) self.pow = p self._kind = 'pwr' return self
# =================================================================================+
[docs]def linsegfunc(v, arr) : """ Linear segment function, y = f(x) with domain/range [0,1] Parameters ---------- v : float or array Independent variable in the range 0 to 1. arr : N X 2 array An array of N values (x,y), with increasing values of x and, y in the range 0 to 1. Returns ------- float Dependent values or array of values """ def recurs(L,R,x,V) : # efficient enough for intended scope T = (L+R)//2 if L==(R-1) : return L if x[T] < V : return recurs(T,R,x,V) else : return recurs(L,T,x,V) x,y = np.array(arr).T m = np.min(x) d = np.max(x)-np.min(x) x,y = (x-m)/d , np.clip(y,0.0,1.0) R = len(x) - 1 slp, b = [None]*R , [None]*R for i in range(R) : j = i+1 slp[i] = ( y[j]-y[i] ) / ( x[j]-x[i] ) b[i] = y[i]-slp[i]*x[i] if isinstance(v,(int,float)) : v=[v] vals = [None]*len(v) for i,V in enumerate(v) : m = recurs(0,R,x,V) vals[i] = slp[m]*V+ b[m] return vals
# =================================================================================+ # FutDev : would be nice to have a function to create a 2D colorbar which could | # be added to the Matplotlib 3D Axes. | # =================================================================================+