import numpy as np
#from matplotlib.path import Path

import matplotlib.pyplot as plt

from  mpl_toolkits.axes_grid.grid_helper_curvelinear import GridHelperCurveLinear
from mpl_toolkits.axes_grid.axislines import Subplot

import  mpl_toolkits.axes_grid.angle_helper as angle_helper

def curvelinear_test1(fig):
    """
    grid for custom transform.
    """

    def tr(x, y):
        sgn = np.sign(x)
        x, y = np.abs(np.asarray(x)), np.asarray(y)
        return sgn*x**.5, y

    def inv_tr(x,y):
        sgn = np.sign(x)
        x, y = np.asarray(x), np.asarray(y)
        return sgn*x**2, y

    extreme_finder = angle_helper.ExtremeFinderCycle(20, 20,
                                                     lon_cycle = None,
                                                     lat_cycle = None,
                                                     lon_minmax = None, #(0, np.inf),
                                                     lat_minmax = None,
                                                     )

    grid_helper = GridHelperCurveLinear((tr, inv_tr),
                                        extreme_finder=extreme_finder)

    ax1 = Subplot(fig, 111, grid_helper=grid_helper)
    # ax1 will have a ticks and gridlines defined by the given
    # transform (+ transData of the Axes). Note that the transform of
    # the Axes itself (i.e., transData) is not affected by the given
    # transform.

    fig.add_subplot(ax1)

    ax1.imshow(np.arange(25).reshape(5,5),
               vmax = 50, cmap=plt.cm.gray_r,
               interpolation="nearest",
               origin="lower")

    # tick density
    grid_helper.grid_finder.grid_locator1._nbins = 6
    grid_helper.grid_finder.grid_locator2._nbins = 6



if 1:
    fig = plt.figure(1, figsize=(7, 4))
    fig.clf()

    curvelinear_test1(fig)
    plt.show()




import numpy as np
#from matplotlib.path import Path

import matplotlib.pyplot as plt

from  mpl_toolkits.axes_grid.grid_helper_curvelinear import GridHelperCurveLinear
from mpl_toolkits.axes_grid.axislines import Subplot

import  mpl_toolkits.axes_grid.angle_helper as angle_helper

def curvelinear_test1(fig):
    """
    grid for custom transform.
    """

    def tr(x, y):
        sgn = np.sign(x)
        x, y = np.abs(np.asarray(x)), np.asarray(y)
        return sgn*x**.5, y

    def inv_tr(x,y):
        sgn = np.sign(x)
        x, y = np.asarray(x), np.asarray(y)
        return sgn*x**2, y

    extreme_finder = angle_helper.ExtremeFinderCycle(20, 20,
                                                     lon_cycle = None,
                                                     lat_cycle = None,
                                                     lon_minmax = None, #(0, np.inf),
                                                     lat_minmax = None,
                                                     )

    grid_helper = GridHelperCurveLinear((tr, inv_tr),
                                        extreme_finder=extreme_finder)

    ax1 = Subplot(fig, 111, grid_helper=grid_helper)
    # ax1 will have a ticks and gridlines defined by the given
    # transform (+ transData of the Axes). Note that the transform of
    # the Axes itself (i.e., transData) is not affected by the given
    # transform.

    fig.add_subplot(ax1)

    ax1.imshow(np.arange(25).reshape(5,5),
               vmax = 50, cmap=plt.cm.gray_r,
               interpolation="nearest",
               origin="lower")

    # tick density
    grid_helper.grid_finder.grid_locator1._nbins = 6
    grid_helper.grid_finder.grid_locator2._nbins = 6



if 1:
    fig = plt.figure(1, figsize=(7, 4))
    fig.clf()

    curvelinear_test1(fig)
    plt.show()




#from matplotlib.path import Path grid for custom transform. #(0, np.inf), # ax1 will have a ticks and gridlines defined by the given # transform (+ transData of the Axes). Note that the transform of # the Axes itself (i.e., transData) is not affected by the given # transform. # tick density