# 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
'''
import logging
import math
import hashlib
from io import BytesIO
import numpy as num
from pyrocko import util
from pyrocko import guts
from pyrocko.response import InvalidResponseError
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))
[docs]def draw(
response,
axes_amplitude=None, axes_phase=None,
fmin=0.01, fmax=100., nf=100,
normalize=False,
style={},
label=None,
show_breakpoints=False,
color_pool=None,
label_pool=None):
'''
Draw instrument response in Bode plot style to given Matplotlib axes
:param response: instrument response as a
:py:class:`pyrocko.response.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))
resp_fmax = response.get_fmax()
if resp_fmax is not None:
if fmax > resp_fmax:
logger.warning(
'Maximum frequency above range supported by response. '
'Clipping to supported%s.' % (
' (%s)' % label if label else ''))
f = f[f <= resp_fmax]
if f.size == 0:
return
tf = response.evaluate(f)
ok = num.isfinite(tf)
if not num.all(ok):
logger.warning('NaN values present in evaluated response%s.' % (
' (%s)' % label if label else ''))
f = f[ok]
tf = tf[ok]
if normalize:
tf = normalize_on_flat(f, tf)
ta = num.abs(tf)
if color_pool is not None:
fh = BytesIO()
f.dump(fh)
tf.dump(fh)
c_key = hashlib.sha1(fh.getvalue()).hexdigest()
fh.close()
if c_key not in color_pool[0]:
color_pool[0][c_key] \
= color_pool[1][len(color_pool[0]) % len(color_pool[1])]
new = True
else:
new = False
style = dict(style)
style['color'] = color_pool[0][c_key]
ikey = list(color_pool[0].keys()).index(c_key) + 1
slabel = '[%i]' % ikey
if label_pool is not None:
label_pool.append('%s %s' % (slabel, label))
eff_label = slabel if new else None
else:
eff_label = '%s %s' % (slabel, label)
if axes_amplitude:
axes_amplitude.plot(f, ta, label=eff_label, **style)
for checkpoint in response.checkpoints:
axes_amplitude.plot(
checkpoint.frequency, checkpoint.value, 'o',
color=style.get('color', 'black'))
axes_amplitude.annotate(
'%.3g s' % (1.0/checkpoint.frequency)
if checkpoint.frequency < 1.0 else
'%.3g Hz' % checkpoint.frequency,
xy=(checkpoint.frequency, checkpoint.value),
xytext=(10, 10),
textcoords='offset points',
color=style.get('color', 'black'))
if show_breakpoints:
for br_frequency, br_change in response.construction():
if not (fmin <= br_frequency <= fmax):
continue
br_value = abs(response.evaluate1(br_frequency))
axes_amplitude.plot(
br_frequency, br_value, 'v' if br_change < 0 else '^',
mec=style.get('color', 'black'),
color='none',
ms=10)
axes_amplitude.annotate(
'%.3g s (%i)' % (1.0/br_frequency, br_change)
if br_frequency < 1.0 else
'%.3g Hz' % br_frequency,
xy=(br_frequency, br_value),
xytext=(10, 10),
textcoords='offset points',
color=style.get('color', 'black'))
if axes_phase:
dta = num.diff(num.log(ta))
iflat = num.nanargmin(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=eff_label, **style)
else:
tp = [0.]
return (num.min(ta), num.max(ta)), (num.min(tp)/num.pi, num.max(tp)/num.pi)
[docs]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')
[docs]def plot(
responses,
filename=None,
dpi=100,
fmin=0.01, fmax=100., nf=100,
normalize=False,
fontsize=10.,
figsize=None,
styles=None,
labels=None,
show_breakpoints=False,
separate_combined_labels=None):
'''
Draw instrument responses in Bode plot style.
:param responses: instrument responses as
:py:class:`pyrocko.response.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.
:param show_breakpoints: show breakpoints of pole-zero 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 = [{} for i in range(len(responses))]
color_pool = ({}, [to01(color) for color in graph_colors])
else:
color_pool = None
assert len(styles) == len(responses)
if separate_combined_labels is not None:
label_pool = []
else:
label_pool = None
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):
try:
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,
show_breakpoints=show_breakpoints,
color_pool=color_pool,
label_pool=label_pool)
if label is not None:
have_labels = True
a_ranges.append(a_range)
p_ranges.append(p_range)
except InvalidResponseError as e:
logger.error(
'Error occured for response labeled "%s": %s' % (label, e))
if have_labels:
axes_amplitude.legend(loc='lower right', prop=dict(size=fontsize))
if separate_combined_labels == 'print':
for label in label_pool:
print(label)
if a_ranges:
a_ranges = num.array(a_ranges)
p_ranges = num.array(p_ranges)
amin, amax = num.nanmin(a_ranges), num.nanmax(a_ranges)
pmin, pmax = num.nanmin(p_ranges), num.nanmax(p_ranges)
amin *= 0.5
amax *= 2.0
pmin -= 0.5
pmax += 0.5
pmin = math.floor(pmin)
pmax = math.ceil(pmax)
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()
if separate_combined_labels == 'return':
return label_pool
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,
stages=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 input units from plain response files.')
resp = guts.load(filename=filename)
resps.append(resp)
labels.append(filename)
elif format in ('resp', 'evalresp'):
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 = ''
in_units = None
if resp.response.instrument_sensitivity:
s = resp.response.instrument_sensitivity
in_units = fake_input_units or s.input_units.name
if s.input_units and s.output_units:
units = ', %s -> %s' % (in_units, s.output_units.name)
if format == 'resp':
resps.append(resp.response.get_pyrocko_response(
'.'.join(resp.codes),
fake_input_units=fake_input_units,
stages=stages).expect_one())
else:
target = {
'M/S': 'vel',
'M': 'dis',
}[in_units]
if resp.end_date is not None:
time = (resp.start_date + resp.end_date)*0.5
else:
time = resp.start_date + 3600*24*10
r = trace.Evalresp(
respfile=filename,
nslc_id=resp.codes,
target=target,
time=time,
stages=stages)
resps.append(r)
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.warning(
'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(
'.'.join(nslc),
fake_input_units=fake_input_units,
stages=stages).expect_one())
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', 'evalresp', '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(
'--stages',
dest='stages',
metavar='START:STOP',
help='show only responses selected stages')
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"]')
parser.add_option(
'--show-breakpoints',
dest='show_breakpoints',
action='store_true',
default=False,
help='show breakpoints of pole-zero responses')
parser.add_option(
'--index-labels',
dest='index_labels',
action='store_true',
default=False,
help='label graphs only by index and print details to terminal '
'to save space when many labels would be shown. Aggregate '
'identical responses under a common index.')
(options, args) = parser.parse_args(sys.argv[1:])
if len(args) == 0:
parser.print_help()
sys.exit(1)
fns = args
resps = []
labels = []
stages = None
if options.stages:
stages = tuple(int(x) for x in options.stages.split(':', 1))
stages = stages[0]-1, stages[1]
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,
stages=stages)
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,
show_breakpoints=options.show_breakpoints,
separate_combined_labels='print' if options.index_labels else None)
