Source code for pyrocko.plot.cake_plot

# http://pyrocko.org - GPLv3
#
# The Pyrocko Developers, 21st Century
# ---|P------/S----------~Lg----------

import math
import numpy as num
from pyrocko import cake
from pyrocko.util import mpl_show
from . import mpl_labelspace as labelspace, mpl_init,\
    mpl_color as str_to_mpl_color, InvalidColorDef

str_to_mpl_color
InvalidColorDef

d2r = cake.d2r
r2d = cake.r2d


def globe_cross_section():
    # modified from http://stackoverflow.com/questions/2417794/
    # how-to-make-the-angles-in-a-matplotlib-polar-plot-go-clockwise-with-0-at-the-top

    from matplotlib.projections import PolarAxes, register_projection
    from matplotlib.transforms import Affine2D, Bbox, IdentityTransform

    class GlobeCrossSectionAxes(PolarAxes):
        '''
        A variant of PolarAxes where theta starts pointing north and goes
        clockwise and the radial axis is reversed.
        '''
        name = 'globe_cross_section'

        class GlobeCrossSectionTransform(PolarAxes.PolarTransform):

            def transform(self, tr):
                xy = num.zeros(tr.shape, num.float_)
                t = tr[:, 0:1]*d2r
                r = cake.earthradius - tr[:, 1:2]
                x = xy[:, 0:1]
                y = xy[:, 1:2]
                x[:] = r * num.sin(t)
                y[:] = r * num.cos(t)
                return xy

            transform_non_affine = transform

            def inverted(self):
                return GlobeCrossSectionAxes.\
                    InvertedGlobeCrossSectionTransform()

        class InvertedGlobeCrossSectionTransform(
                PolarAxes.InvertedPolarTransform):

            def transform(self, xy):
                x = xy[:, 0:1]
                y = xy[:, 1:]
                r = num.sqrt(x*x + y*y)
                theta = num.arctan2(y, x)*r2d
                return num.concatenate((theta, cake.earthradius-r), 1)

            def inverted(self):
                return GlobeCrossSectionAxes.GlobeCrossSectionTransform()

        def _set_lim_and_transforms(self):
            PolarAxes._set_lim_and_transforms(self)
            try:
                theta_position = self._theta_label1_position
            except AttributeError:
                theta_position = self.get_theta_offset()

            self.transProjection = self.GlobeCrossSectionTransform()
            self.transData = (
                self.transScale +
                self.transProjection +
                (self.transProjectionAffine + self.transAxes))
            self._xaxis_transform = (
                self.transProjection +
                self.PolarAffine(IdentityTransform(), Bbox.unit()) +
                self.transAxes)
            self._xaxis_text1_transform = (
                theta_position +
                self._xaxis_transform)
            self._yaxis_transform = (
                Affine2D().scale(num.pi * 2.0, 1.0) +
                self.transData)

            try:
                rlp = getattr(self, '_r_label1_position')
            except AttributeError:
                rlp = getattr(self, '_r_label_position')

            self._yaxis_text1_transform = (
                rlp +
                Affine2D().scale(1.0 / 360.0, 1.0) +
                self._yaxis_transform)

    register_projection(GlobeCrossSectionAxes)


tango_colors = {
    'butter1': (252, 233, 79),
    'butter2': (237, 212, 0),
    'butter3': (196, 160, 0),
    'chameleon1': (138, 226, 52),
    'chameleon2': (115, 210, 22),
    'chameleon3': (78, 154, 6),
    'orange1': (252, 175, 62),
    'orange2': (245, 121, 0),
    'orange3': (206, 92, 0),
    'skyblue1': (114, 159, 207),
    'skyblue2': (52, 101, 164),
    'skyblue3': (32, 74, 135),
    'plum1': (173, 127, 168),
    'plum2': (117, 80, 123),
    'plum3': (92, 53, 102),
    'chocolate1': (233, 185, 110),
    'chocolate2': (193, 125, 17),
    'chocolate3': (143, 89, 2),
    'scarletred1': (239, 41, 41),
    'scarletred2': (204, 0, 0),
    'scarletred3': (164, 0, 0),
    'aluminium1': (238, 238, 236),
    'aluminium2': (211, 215, 207),
    'aluminium3': (186, 189, 182),
    'aluminium4': (136, 138, 133),
    'aluminium5': (85, 87, 83),
    'aluminium6': (46, 52, 54)
}


[docs]def path2colorint(path): ''' Calculate an integer representation deduced from path's given name. ''' s = sum([ord(char) for char in path.phase.given_name()]) return s
def light(color, factor=0.2): return tuple(1-(1-c)*factor for c in color) def dark(color, factor=0.5): return tuple(c*factor for c in color) def to01(c): return tuple(x/255. for x in c) colors = [to01(tango_colors[x+i]) for i in '321' for x in 'scarletred chameleon skyblue chocolate orange plum'.split()] shades = [light(to01(tango_colors['chocolate1']), i*0.1) for i in range(1, 9)] shades2 = [light(to01(tango_colors['orange1']), i*0.1) for i in range(1, 9)] shades_water = [ light(to01(tango_colors['skyblue1']), i*0.1) for i in range(1, 9)] def plot_xt( paths, zstart, zstop, axes=None, vred=None, distances=None, coloring='by_phase_definition', avoid_same_colors=True, phase_colors={}): if distances is not None: xmin, xmax = distances.min(), distances.max() axes = getaxes(axes) all_x = [] all_t = [] path_to_color = make_path_to_color( paths, coloring, avoid_same_colors, phase_colors=phase_colors) for ipath, path in enumerate(paths): if distances is not None: if path.xmax() < xmin or path.xmin() > xmax: continue color = path_to_color[path] p, x, t = path.draft_pxt(path.endgaps(zstart, zstop)) if p.size == 0: continue all_x.append(x) all_t.append(t) if vred is not None: axes.plot(x, t-x/vred, linewidth=2, color=color) axes.plot([x[0]], [t[0]-x[0]/vred], 'o', color=color) axes.plot([x[-1]], [t[-1]-x[-1]/vred], 'o', color=color) axes.text( x[len(x)//2], t[len(x)//2]-x[len(x)//2]/vred, path.used_phase().used_repr(), color=color, va='center', ha='center', clip_on=True, bbox=dict( ec=color, fc=light(color), pad=8, lw=1), fontsize=10) else: axes.plot(x, t, linewidth=2, color=color) axes.plot([x[0]], [t[0]], 'o', color=color) axes.plot([x[-1]], [t[-1]], 'o', color=color) axes.text( x[len(x)//2], t[len(x)//2], path.used_phase().used_repr(), color=color, va='center', ha='center', clip_on=True, bbox=dict( ec=color, fc=light(color), pad=8, lw=1), fontsize=10) all_x = num.concatenate(all_x) all_t = num.concatenate(all_t) if vred is not None: all_t -= all_x/vred xxx = num.sort(all_x) ttt = num.sort(all_t) return xxx.min(), xxx[99*len(xxx)//100], ttt.min(), ttt[99*len(ttt)//100] def labels_xt(axes=None, vred=None, as_degrees=False): axes = getaxes(axes) if as_degrees: axes.set_xlabel('Distance [deg]') else: axes.set_xlabel('Distance [km]') xscaled(d2r*cake.earthradius/cake.km, axes) if vred is None: axes.set_ylabel('Time [s]') else: if as_degrees: axes.set_ylabel('Time - Distance / %g deg/s [ s ]' % ( vred)) else: axes.set_ylabel('Time - Distance / %g km/s [ s ]' % ( d2r*vred*cake.earthradius/cake.km)) def troffset(dx, dy, axes=None): axes = getaxes(axes) from matplotlib import transforms return axes.transData + transforms.ScaledTranslation( dx/72., dy/72., axes.gcf().dpi_scale_trans) def plot_xp( paths, zstart, zstop, axes=None, coloring='by_phase_definition', avoid_same_colors=True, phase_colors={}): path_to_color = make_path_to_color( paths, coloring, avoid_same_colors, phase_colors=phase_colors) axes = getaxes(axes) all_x = [] for ipath, path in enumerate(paths): color = path_to_color[path] p, x, t = path.draft_pxt(path.endgaps(zstart, zstop)) # converting ray parameters from s/rad to s/deg p /= r2d axes.plot(x, p, linewidth=2, color=color) axes.plot(x[:1], p[:1], 'o', color=color) axes.plot(x[-1:], p[-1:], 'o', color=color) axes.text( x[len(x)//2], p[len(x)//2], path.used_phase().used_repr(), color=color, va='center', ha='center', clip_on=True, bbox=dict( ec=color, fc=light(color), pad=8, lw=1)) all_x.append(x) xxx = num.sort(num.concatenate(all_x)) return xxx.min(), xxx[99*len(xxx)//100] def labels_xp(axes=None, as_degrees=False): axes = getaxes(axes) if as_degrees: axes.set_xlabel('Distance [deg]') else: axes.set_xlabel('Distance [km]') xscaled(d2r*cake.earthradius*0.001, axes) axes.set_ylabel('Ray Parameter [s/deg]') def labels_model(axes=None): axes = getaxes(axes) axes.set_xlabel('S-wave and P-wave velocity [km/s]') xscaled(0.001, axes) axes.set_ylabel('Depth [km]') yscaled(0.001, axes) def make_path_to_color( paths, coloring='by_phase_definition', avoid_same_colors=True, phase_colors={}): assert coloring in ['by_phase_definition', 'by_path'] path_to_color = {} definition_to_color = phase_colors.copy() available_colors = set() for ipath, path in enumerate(paths): if coloring == 'by_phase_definition': given_name = path.phase.given_name() int_rep = path2colorint(path) color_id = int_rep % len(colors) if given_name not in definition_to_color: if avoid_same_colors: if len(available_colors) == 0: available_colors = set(range(0, len(colors)-1)) if color_id in available_colors: available_colors.remove(color_id) else: color_id = available_colors.pop() assert color_id not in available_colors definition_to_color[given_name] = colors[color_id] path_to_color[path] = definition_to_color[given_name] else: path_to_color[path] = colors[ipath % len(colors)] return path_to_color def plot_rays(paths, rays, zstart, zstop, axes=None, coloring='by_phase_definition', legend=True, avoid_same_colors=True, aspect=None, phase_colors={}): axes = getaxes(axes) if aspect is not None: axes.set_aspect(aspect/(d2r*cake.earthradius)) path_to_color = make_path_to_color( paths, coloring, avoid_same_colors, phase_colors=phase_colors) if rays is None: rays = paths labels = set() for iray, ray in enumerate(rays): if isinstance(ray, cake.RayPath): path = ray pmin, pmax, xmin, xmax, tmin, tmax = path.ranges( path.endgaps(zstart, zstop)) if not path._is_headwave: p = num.linspace(pmin, pmax, 6) x = None else: x = num.linspace(xmin, xmin*10, 6) p = num.atleast_1d(pmin) fanz, fanx, _ = path.zxt_path_subdivided( p, path.endgaps(zstart, zstop), x_for_headwave=x) else: fanz, fanx, _ = ray.zxt_path_subdivided() path = ray.path color = path_to_color[path] if coloring == 'by_phase_definition': phase_label = path.phase.given_name() else: phase_label = path for zs, xs in zip(fanz, fanx): if phase_label in labels: phase_label = '' axes.plot(xs, zs, color=color, label=phase_label) if legend: labels.add(phase_label) if legend: axes.legend(loc=4, prop={'size': 11}) def sketch_model(mod, axes=None, shade=True): from matplotlib import transforms axes = getaxes(axes) trans = transforms.BlendedGenericTransform(axes.transAxes, axes.transData) for dis in mod.discontinuities(): color = shades[-1] axes.axhline(dis.z, color=dark(color), lw=1.5) if dis.name is not None: axes.text( 0.90, dis.z, dis.name, transform=trans, va='center', ha='right', color=dark(color), bbox=dict(ec=dark(color), fc=light(color, 0.3), pad=8, lw=1)) for ilay, lay in enumerate(mod.layers()): if lay.mtop.vs == 0.0 and lay.mbot.vs == 0.0: tab = shades_water else: if isinstance(lay, cake.GradientLayer): tab = shades else: tab = shades2 color = tab[ilay % len(tab)] if shade: axes.axhspan( lay.ztop, lay.zbot, fc=color, ec=dark(color), label='abc') if lay.name is not None: axes.text( 0.95, (lay.ztop + lay.zbot)*0.5, lay.name, transform=trans, va='center', ha='right', color=dark(color), bbox=dict(ec=dark(color), fc=light(color, 0.3), pad=8, lw=1)) def plot_source(zstart, axes=None): axes = getaxes(axes) axes.plot([0], [zstart], 'o', color='black') def plot_receivers(zstop, distances, axes=None): axes = getaxes(axes) axes.plot( distances, cake.filled(zstop, len(distances)), '^', color='black') def getaxes(axes=None): from matplotlib import pyplot as plt if axes is None: return plt.gca() else: return axes def mk_sc_classes(): from matplotlib.ticker import FormatStrFormatter, AutoLocator class Scaled(FormatStrFormatter): def __init__(self, factor): FormatStrFormatter.__init__(self, '%g') self._factor = factor def __call__(self, v, i=0): return FormatStrFormatter.__call__(self, v*self._factor, i) class ScaledLocator(AutoLocator): def __init__(self, factor): AutoLocator.__init__(self) self._factor = factor def bin_boundaries(self, vmin, vmax): return [x/self._factor for x in AutoLocator.bin_boundaries( self, vmin*self._factor, vmax*self._factor)] return Scaled, ScaledLocator def xscaled(factor, axes): Scaled, ScaledLocator = mk_sc_classes() xaxis = axes.get_xaxis() xaxis.set_major_formatter(Scaled(factor)) xaxis.set_major_locator(ScaledLocator(factor)) def yscaled(factor, axes): Scaled, ScaledLocator = mk_sc_classes() yaxis = axes.get_yaxis() yaxis.set_major_formatter(Scaled(factor)) yaxis.set_major_locator(ScaledLocator(factor)) def labels_rays(axes=None, as_degrees=False): axes = getaxes(axes) if as_degrees: axes.set_xlabel('Distance [deg]') else: axes.set_xlabel('Distance [km]') xscaled(d2r*cake.earthradius/cake.km, axes) axes.set_ylabel('Depth [km]') yscaled(1./cake.km, axes) def plot_surface_efficiency(mat): from matplotlib import pyplot as plt data = [] for angle in num.linspace(0., 90., 910.): pp = math.sin(angle*d2r)/mat.vp ps = math.sin(angle*d2r)/mat.vs escp = cake.psv_surface(mat, pp, energy=True) escs = cake.psv_surface(mat, ps, energy=True) data.append(( angle, escp[cake.psv_surface_ind(cake.P, cake.P)], escp[cake.psv_surface_ind(cake.P, cake.S)], escs[cake.psv_surface_ind(cake.S, cake.S)], escs[cake.psv_surface_ind(cake.S, cake.P)])) a, pp, ps, ss, sp = num.array(data).T plt.plot(a, pp, label='PP') plt.plot(a, ps, label='PS') plt.plot(a, ss, label='SS') plt.plot(a, sp, label='SP') plt.xlabel('Incident Angle') plt.ylabel('Energy Normalized Coefficient', position=(-2., 0.5)) plt.legend() mpl_show(plt) def my_xp_plot( paths, zstart, zstop, distances=None, as_degrees=False, axes=None, show=True, phase_colors={}): if axes is None: from matplotlib import pyplot as plt mpl_init() axes = plt.gca() else: plt = None labelspace(axes) xmin, xmax = plot_xp( paths, zstart, zstop, axes=axes, phase_colors=phase_colors) if distances is not None: xmin, xmax = distances.min(), distances.max() axes.set_xlim(xmin, xmax) labels_xp(as_degrees=as_degrees, axes=axes) if plt: if show is True: mpl_show(plt) def my_xt_plot( paths, zstart, zstop, distances=None, as_degrees=False, vred=None, axes=None, show=True, phase_colors={}): if axes is None: from matplotlib import pyplot as plt mpl_init() axes = plt.gca() else: plt = None labelspace(axes) xmin, xmax, ymin, ymax = plot_xt( paths, zstart, zstop, vred=vred, distances=distances, axes=axes, phase_colors=phase_colors) if distances is not None: xmin, xmax = distances.min(), distances.max() axes.set_xlim(xmin, xmax) axes.set_ylim(ymin, ymax) labels_xt(as_degrees=as_degrees, vred=vred, axes=axes) if plt: if show is True: mpl_show(plt) def my_rays_plot_gcs( mod, paths, rays, zstart, zstop, distances=None, show=True, phase_colors={}): from matplotlib import pyplot as plt mpl_init() globe_cross_section() axes = plt.subplot(1, 1, 1, projection='globe_cross_section') plot_rays(paths, rays, zstart, zstop, axes=axes, phase_colors=phase_colors) plot_source(zstart, axes=axes) if distances is not None: plot_receivers(zstop, distances, axes=axes) axes.set_ylim(0., cake.earthradius) axes.get_yaxis().set_visible(False) if plt: if show is True: mpl_show(plt) def my_rays_plot( mod, paths, rays, zstart, zstop, distances=None, as_degrees=False, axes=None, show=True, aspect=None, shade_model=True, phase_colors={}): if axes is None: from matplotlib import pyplot as plt mpl_init() axes = plt.gca() else: plt = None if paths is None: paths = list(set([x.path for x in rays])) labelspace(axes) plot_rays( paths, rays, zstart, zstop, axes=axes, aspect=aspect, phase_colors=phase_colors) xmin, xmax = axes.get_xlim() ymin, ymax = axes.get_ylim() sketch_model(mod, axes=axes, shade=shade_model) plot_source(zstart, axes=axes) if distances is not None: plot_receivers(zstop, distances, axes=axes) labels_rays(as_degrees=as_degrees, axes=axes) mx = (xmax-xmin)*0.05 my = (ymax-ymin)*0.05 axes.set_xlim(xmin-mx, xmax+mx) axes.set_ylim(ymax+my, ymin-my) if plt: if show is True: mpl_show(plt) def my_combi_plot( mod, paths, rays, zstart, zstop, distances=None, as_degrees=False, show=True, vred=None, phase_colors={}): from matplotlib import pyplot as plt mpl_init() ax1 = plt.subplot(211) labelspace(plt.gca()) xmin, xmax, ymin, ymax = plot_xt( paths, zstart, zstop, vred=vred, distances=distances, phase_colors=phase_colors) if distances is None: plt.xlim(xmin, xmax) labels_xt(vred=vred, as_degrees=as_degrees) plt.setp(ax1.get_xticklabels(), visible=False) plt.xlabel('') ax2 = plt.subplot(212, sharex=ax1) labelspace(plt.gca()) plot_rays(paths, rays, zstart, zstop, phase_colors=phase_colors) xmin, xmax = plt.xlim() ymin, ymax = plt.ylim() sketch_model(mod) plot_source(zstart) if distances is not None: plot_receivers(zstop, distances) labels_rays(as_degrees=as_degrees) mx = (xmax-xmin)*0.05 my = (ymax-ymin)*0.05 ax2.set_xlim(xmin-mx, xmax+mx) ax2.set_ylim(ymax+my, ymin-my) if show is True: mpl_show(plt) def my_model_plot(mod, axes=None, show=True): if axes is None: from matplotlib import pyplot as plt mpl_init() axes = plt.gca() else: plt = None labelspace(axes) labels_model(axes=axes) sketch_model(mod, axes=axes) z = mod.profile('z') vp = mod.profile('vp') vs = mod.profile('vs') axes.plot(vp, z, color=colors[0], lw=2.) axes.plot(vs, z, color=colors[2], lw=2.) ymin, ymax = axes.get_ylim() xmin, xmax = axes.get_xlim() xmin = 0. my = (ymax-ymin)*0.05 mx = (xmax-xmin)*0.2 axes.set_ylim(ymax+my, ymin-my) axes.set_xlim(xmin, xmax+mx) if plt: if show is True: mpl_show(plt)