Coverage for /usr/local/lib/python3.7/dist-packages/pyrocko/plot/response.py : 76%

# http://pyrocko.org - GPLv3 

# 

# The Pyrocko Developers, 21st Century 

# ---|P------/S----------~Lg---------- 

''' 

This module contains functions to plot instrument response transfer functions 

in Bode plot style using Matplotlib. 

Example 

* :download:`test_response_plot.py </../../examples/test_response_plot.py>` 

:: 

from pyrocko.plot import response 

from pyrocko.example import get_example_data 

get_example_data('test_response.resp') 

resps, labels = response.load_response_information( 

'test_response.resp', 'resp') 

response.plot( 

responses=resps, labels=labels, filename='test_response.png', 

fmin=0.001, fmax=400., dpi=75.) 

.. figure :: /static/test_response.png 

:align: center 

Example response plot 

''' 

from __future__ import absolute_import 

import logging 

import numpy as num 

from pyrocko import util 

from pyrocko import guts 

logger = logging.getLogger('plot.response') 

def normalize_on_flat(f, tf, factor=10000.): 

df = num.diff(num.log(f)) 

tap = 1.0 / (1.0 + factor * (num.diff(num.log(num.abs(tf)))/df)**2) 

return tf / (num.sum(num.abs(tf[1:]) * tap) / num.sum(tap)) 

def draw( 

response, 

axes_amplitude=None, axes_phase=None, 

fmin=0.01, fmax=100., nf=100, 

normalize=False, 

style={}, 

label=None): 

'''Draw instrument response in Bode plot style to given Matplotlib axes 

:param response: instrument response as a 

:py:class:`pyrocko.trace.FrequencyResponse` object 

:param axes_amplitude: :py:class:`matplotlib.axes.Axes` object to use when 

drawing the amplitude response 

:param axes_phase: :py:class:`matplotlib.axes.Axes` object to use when 

drawing the phase response 

:param fmin: minimum frequency [Hz] 

:param fmax: maximum frequency [Hz] 

:param nf: number of frequencies where to evaluate the response 

:param style: :py:class:`dict` with keyword arguments to tune the line 

style 

:param label: string to be passed to the ``label`` argument of 

:py:meth:`matplotlib.axes.Axes.plot` 

''' 

f = num.exp(num.linspace(num.log(fmin), num.log(fmax), nf)) 

tf = response.evaluate(f) 

if normalize: 

tf = normalize_on_flat(f, tf) 

ta = num.abs(tf) 

if axes_amplitude: 

axes_amplitude.plot(f, ta, label=label, **style) 

if axes_phase: 

dta = num.diff(num.log(ta)) 

iflat = num.argmin(num.abs(num.diff(dta)) + num.abs(dta[:-1])) 

tp = num.unwrap(num.angle(tf)) 

ioff = int(num.round(tp[iflat] / (2.0*num.pi))) 

tp -= ioff * 2.0 * num.pi 

axes_phase.plot(f, tp/num.pi, label=label, **style) 

else: 

tp = [0.] 

return (num.min(ta), num.max(ta)), (num.min(tp)/num.pi, num.max(tp)/num.pi) 

def setup_axes(axes_amplitude=None, axes_phase=None): 

'''Configure axes in Bode plot style.''' 

if axes_amplitude is not None: 

axes_amplitude.set_ylabel('Amplitude ratio') 

axes_amplitude.set_xscale('log') 

axes_amplitude.set_yscale('log') 

axes_amplitude.grid(True) 

axes_amplitude.axhline(1.0, lw=0.5, color='black') 

if axes_phase is None: 

axes_amplitude.set_xlabel('Frequency [Hz]') 

axes_amplitude.set_xscale('log') 

else: 

axes_amplitude.xaxis.set_ticklabels([]) 

if axes_phase is not None: 

axes_phase.set_ylabel('Phase [$\\pi$]') 

axes_phase.set_xscale('log') 

axes_phase.set_xlabel('Frequency [Hz]') 

axes_phase.grid(True) 

axes_phase.axhline(0.0, lw=0.5, color='black') 

def plot( 

responses, 

filename=None, 

dpi=100, 

fmin=0.01, fmax=100., nf=100, 

normalize=False, 

fontsize=10., 

figsize=None, 

styles=None, 

labels=None): 

''' 

Draw instrument responses in Bode plot style. 

:param responses: instrument responses as 

:py:class:`pyrocko.trace.FrequencyResponse` objects 

:param fmin: minimum frequency [Hz] 

:param fmax: maximum frequency [Hz] 

:param nf: number of frequencies where to evaluate the response 

:param normalize: if ``True`` normalize flat part of response to be ``1`` 

:param styles: :py:class:`list` of :py:class:`dict` objects with keyword 

arguments to be passed to matplotlib's 

:py:meth:`matplotlib.axes.Axes.plot` function when drawing the response 

lines. Length must match number of responses. 

:param filename: file name to pass to matplotlib's ``savefig`` function. If 

``None``, the plot is shown with :py:func:`matplotlib.pyplot.show`. 

:param fontsize: font size in points used in axis labels and legend 

:param figsize: :py:class:`tuple`, ``(width, height)`` in inches 

:param labels: :py:class:`list` of names to show in legend. Length must 

correspond to number of responses. 

''' 

from matplotlib import pyplot as plt 

from pyrocko.plot import mpl_init, mpl_margins, mpl_papersize 

from pyrocko.plot import graph_colors, to01 

mpl_init(fontsize=fontsize) 

if figsize is None: 

figsize = mpl_papersize('a4', 'portrait') 

fig = plt.figure(figsize=figsize) 

labelpos = mpl_margins( 

fig, w=7., h=5., units=fontsize, nw=1, nh=2, hspace=2.) 

axes_amplitude = fig.add_subplot(2, 1, 1) 

labelpos(axes_amplitude, 2., 1.5) 

axes_phase = fig.add_subplot(2, 1, 2) 

labelpos(axes_phase, 2., 1.5) 

setup_axes(axes_amplitude, axes_phase) 

if styles is None: 

styles = [ 

dict(color=to01(graph_colors[i % len(graph_colors)])) 

for i in range(len(responses))] 

else: 

assert len(styles) == len(responses) 

if labels is None: 

labels = [None] * len(responses) 

else: 

assert len(labels) == len(responses) 

a_ranges, p_ranges = [], [] 

have_labels = False 

for style, resp, label in zip(styles, responses, labels): 

a_range, p_range = draw( 

response=resp, 

axes_amplitude=axes_amplitude, 

axes_phase=axes_phase, 

fmin=fmin, fmax=fmax, nf=nf, 

normalize=normalize, 

style=style, 

label=label) 

if label is not None: 

have_labels = True 

a_ranges.append(a_range) 

p_ranges.append(p_range) 

if have_labels: 

axes_amplitude.legend(loc='lower right', prop=dict(size=fontsize)) 

a_ranges = num.array(a_ranges) 

p_ranges = num.array(p_ranges) 

amin, amax = num.min(a_ranges), num.max(a_ranges) 

pmin, pmax = num.min(p_ranges), num.max(p_ranges) 

amin *= 0.5 

amax *= 2.0 

pmin -= 0.5 

pmax += 0.5 

axes_amplitude.set_ylim(amin, amax) 

axes_phase.set_ylim(pmin, pmax) 

axes_amplitude.set_xlim(fmin, fmax) 

axes_phase.set_xlim(fmin, fmax) 

if filename is not None: 

fig.savefig(filename, dpi=dpi) 

else: 

plt.show() 

def tts(t): 

if t is None: 

return '?' 

else: 

return util.tts(t, format='%Y-%m-%d') 

def load_response_information( 

filename, format, nslc_patterns=None, fake_input_units=None): 

from pyrocko import pz, trace 

from pyrocko.io import resp as fresp 

resps = [] 

labels = [] 

if format == 'sacpz': 

if fake_input_units is not None: 

raise Exception( 

'cannot guess true input units from plain SAC PZ files') 

zeros, poles, constant = pz.read_sac_zpk(filename) 

resp = trace.PoleZeroResponse( 

zeros=zeros, poles=poles, constant=constant) 

resps.append(resp) 

labels.append(filename) 

elif format == 'pf': 

if fake_input_units is not None: 

raise Exception( 

'cannot guess true input units from plain response files') 

resp = guts.load(filename=filename) 

resps.append(resp) 

labels.append(filename) 

elif format == 'resp': 

for resp in list(fresp.iload_filename(filename)): 

if nslc_patterns is not None and not util.match_nslc( 

nslc_patterns, resp.codes): 

continue 

units = '' 

if resp.response.instrument_sensitivity: 

s = resp.response.instrument_sensitivity 

if s.input_units and s.output_units: 

units = ', %s -> %s' % ( 

fake_input_units or s.input_units.name, 

s.output_units.name) 

resps.append(resp.response.get_pyrocko_response( 

resp.codes, fake_input_units=fake_input_units)) 

labels.append('%s (%s.%s.%s.%s, %s - %s%s)' % ( 

(filename, ) + resp.codes + 

(tts(resp.start_date), tts(resp.end_date), units))) 

elif format == 'stationxml': 

from pyrocko.fdsn import station as fs 

sx = fs.load_xml(filename=filename) 

for network in sx.network_list: 

for station in network.station_list: 

for channel in station.channel_list: 

nslc = ( 

network.code, 

station.code, 

channel.location_code, 

channel.code) 

if nslc_patterns is not None and not util.match_nslc( 

nslc_patterns, nslc): 

continue 

if not channel.response: 

logger.warn( 

'no response for channel %s.%s.%s.%s given.' 

% nslc) 

continue 

units = '' 

if channel.response.instrument_sensitivity: 

s = channel.response.instrument_sensitivity 

if s.input_units and s.output_units: 

units = ', %s -> %s' % ( 

fake_input_units or s.input_units.name, 

s.output_units.name) 

resps.append(channel.response.get_pyrocko_response( 

nslc, fake_input_units=fake_input_units)) 

labels.append( 

'%s (%s.%s.%s.%s, %s - %s%s)' % ( 

(filename, ) + nslc + 

(tts(channel.start_date), 

tts(channel.end_date), 

units))) 

return resps, labels 

if __name__ == '__main__': 

import sys 

from optparse import OptionParser 

util.setup_logging('pyrocko.plot.response.__main__', 'warning') 

usage = 'python -m pyrocko.plot.response <filename> ... [options]' 

description = '''Plot instrument responses (transfer functions).''' 

allowed_formats = ['sacpz', 'resp', 'stationxml', 'pf'] 

parser = OptionParser( 

usage=usage, 

description=description, 

formatter=util.BetterHelpFormatter()) 

parser.add_option( 

'--format', 

dest='format', 

default='sacpz', 

choices=allowed_formats, 

help='assume input files are of given FORMAT. Choices: %s' % ( 

', '.join(allowed_formats))) 

parser.add_option( 

'--fmin', 

dest='fmin', 

type='float', 

default=0.01, 

help='minimum frequency [Hz], default: %default') 

parser.add_option( 

'--fmax', 

dest='fmax', 

type='float', 

default=100., 

help='maximum frequency [Hz], default: %default') 

parser.add_option( 

'--normalize', 

dest='normalize', 

action='store_true', 

help='normalize response to be 1 on flat part') 

parser.add_option( 

'--save', 

dest='filename', 

help='save figure to file with name FILENAME') 

parser.add_option( 

'--dpi', 

dest='dpi', 

type='float', 

default=100., 

help='DPI setting for pixel image output, default: %default') 

parser.add_option( 

'--patterns', 

dest='nslc_patterns', 

metavar='NET.STA.LOC.CHA,...', 

help='show only responses of channels matching any of the given ' 

'patterns') 

parser.add_option( 

'--fake-input-units', 

dest='fake_input_units', 

choices=['M', 'M/S', 'M/S**2'], 

metavar='UNITS', 

help='show converted response for given input units, choices: ' 

'["M", "M/S", "M/S**2"]') 

(options, args) = parser.parse_args(sys.argv[1:]) 

if len(args) == 0: 

parser.print_help() 

sys.exit(1) 

fns = args 

resps = [] 

labels = [] 

for fn in fns: 

if options.nslc_patterns is not None: 

nslc_patterns = options.nslc_patterns.split(',') 

else: 

nslc_patterns = None 

resps_this, labels_this = load_response_information( 

fn, options.format, nslc_patterns, 

fake_input_units=options.fake_input_units) 

resps.extend(resps_this) 

labels.extend(labels_this) 

plot( 

resps, 

fmin=options.fmin, fmax=options.fmax, nf=200, 

normalize=options.normalize, 

labels=labels, filename=options.filename, dpi=options.dpi)