From 6d9d119c3a770c14d8eba96594699ee053fdcca3 Mon Sep 17 00:00:00 2001 From: Martin Hochwallner Date: Mon, 29 Jun 2015 15:53:50 +0200 Subject: [PATCH 01/13] bode_plot: allow omega be specified by boundaries (min, max) --- control/freqplot.py | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/control/freqplot.py b/control/freqplot.py index 995fad2db..03229924d 100644 --- a/control/freqplot.py +++ b/control/freqplot.py @@ -127,6 +127,8 @@ def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, if omega is None: # Select a default range if none is provided omega = default_frequency_range(syslist) + elif (isinstance(omega, tuple) or isinstance(omega, list)) and len(omega) == 2: + omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1])) # Get the magnitude and phase of the system omega = np.array(omega) @@ -135,7 +137,7 @@ def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, phase = np.atleast_1d(np.squeeze(phase_tmp)) phase = unwrap(phase) if Hz: - omega_plot = omega_sys / (2 * np.pi) + omega_plot = omega_sys / (2. * np.pi) else: omega_plot = omega_sys @@ -162,7 +164,7 @@ def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, # Phase plot plt.subplot(212); if deg: - phase_plot = phase * 180 / np.pi + phase_plot = phase * 180. / np.pi else: phase_plot = phase plt.semilogx(omega_plot, phase_plot, *args, **kwargs) From a2c4269c0977d84a6a8e27418c4fdd1203f766e6 Mon Sep 17 00:00:00 2001 From: martinup Date: Fri, 3 Jul 2015 14:15:30 +0200 Subject: [PATCH 02/13] bode_plot: * added sharing of x axis (magnitude and phase are zoom and pan together) * added an option to * added manual test / example --- control/freqplot.py | 25 ++++++++++---- control/tests/bode_plot__manualtest.py | 48 ++++++++++++++++++++++++++ 2 files changed, 67 insertions(+), 6 deletions(-) create mode 100644 control/tests/bode_plot__manualtest.py diff --git a/control/freqplot.py b/control/freqplot.py index 03229924d..ebc2191a9 100644 --- a/control/freqplot.py +++ b/control/freqplot.py @@ -60,7 +60,7 @@ # # Bode plot -def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, +def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, Plot=True, *args, **kwargs): """Bode plot for a system @@ -72,6 +72,8 @@ def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, List of linear input/output systems (single system is OK) omega : freq_range Range of frequencies (list or bounds) in rad/sec + omega_num: int + number of sample dB : boolean If True, plot result in dB Hz : boolean @@ -128,7 +130,10 @@ def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, # Select a default range if none is provided omega = default_frequency_range(syslist) elif (isinstance(omega, tuple) or isinstance(omega, list)) and len(omega) == 2: - omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1])) + if omega_num: + omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), num=omega_num, endpoint=False) + else: + omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), endpoint=False) # Get the magnitude and phase of the system omega = np.array(omega) @@ -149,7 +154,7 @@ def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, if (Plot): # Magnitude plot - plt.subplot(211); + ax_mag = plt.subplot(211); if dB: plt.semilogx(omega_plot, 20 * np.log10(mag), *args, **kwargs) else: @@ -162,7 +167,7 @@ def bode_plot(syslist, omega=None, dB=None, Hz=None, deg=None, plt.ylabel("Magnitude (dB)" if dB else "Magnitude") # Phase plot - plt.subplot(212); + plt.subplot(212, sharex=ax_mag); if deg: phase_plot = phase * 180. / np.pi else: @@ -343,7 +348,7 @@ def gangof4_plot(P, C, omega=None): # # Compute reasonable defaults for axes -def default_frequency_range(syslist): +def default_frequency_range(syslist, number_of_samples=None): """Compute a reasonable default frequency range for frequency domain plots. @@ -359,6 +364,8 @@ def default_frequency_range(syslist): ------- omega : array Range of frequencies in rad/sec + number_of_samples: int + Number of samples to generate Examples -------- @@ -399,9 +406,15 @@ def default_frequency_range(syslist): #! TODO: Add a check in discrete case to make sure we don't get aliasing # Set the range to be an order of magnitude beyond any features - omega = sp.logspace(np.floor(np.min(features))-1, + if number_of_samples: + omega = sp.logspace(np.floor(np.min(features))-1, + np.ceil(np.max(features))+1, num=number_of_samples) + else: + omega = sp.logspace(np.floor(np.min(features))-1, np.ceil(np.max(features))+1) + + return omega # diff --git a/control/tests/bode_plot__manualtest.py b/control/tests/bode_plot__manualtest.py new file mode 100644 index 000000000..fd36fad29 --- /dev/null +++ b/control/tests/bode_plot__manualtest.py @@ -0,0 +1,48 @@ +''' +Created on 3 juli 2015 + +@author: marho40 +''' + +from __future__ import print_function +import scipy as sp +import matplotlib.pyplot as plt + +import control + +def test__bode_plot_PT1(): + testname = 'test__bode_plot_PT1' + print ('\n\n{}{}\n'.format(testname, '-'*20)) + plt.figure() + plt.gcf().suptitle(testname) + + w = (2*sp.pi*10.) # 10 Hz + pt1 = control.tf([1.], [1/w, 1.]) # first order system + print(pt1) + pt1_bodeplot = control.bode_plot(pt1, omega=[2*sp.pi*1., 2*sp.pi*1000.], Plot=True, Hz=True, dB=True, color='b') + + +def test__bode_plot_PT1_sampled(): + testname = 'test__bode_plot_PT1_sampled' + print ('\n\n{}{}\n'.format(testname, '-'*20)) + plt.figure() + plt.gcf().suptitle(testname) + + sampleTime = 0.001 # 1ms + w = (2*sp.pi*10.) # 10 Hz + + pt1 = control.tf([1.], [1/w, 1.]) # first order system + print(pt1) + pt1_bodeplot = control.bode_plot(pt1, omega=[2*sp.pi*1., 2*sp.pi*1000.], Plot=True, Hz=True, dB=True, color='b') + + pt1s = control.sample_system(pt1, sampleTime, 'tustin') + print(pt1s) + pt1s_bodeplot = control.bode_plot(pt1s, omega=[2*sp.pi*1., 2*sp.pi*500.], omega_num=1000, Plot=True, Hz=True, dB=True, color='r') + + +if __name__ == '__main__': + test__bode_plot_PT1() + test__bode_plot_PT1_sampled() + plt.show() + + \ No newline at end of file From c2c7381b7db6e5d00c56dabd429b357936e69d3d Mon Sep 17 00:00:00 2001 From: martinup Date: Sun, 5 Jul 2015 17:32:23 +0200 Subject: [PATCH 03/13] bode_plot: worked on frequency range --- control/freqplot.py | 71 +++++++++++++++++--------- control/tests/bode_plot__manualtest.py | 60 +++++++++++++++++++++- 2 files changed, 106 insertions(+), 25 deletions(-) diff --git a/control/freqplot.py b/control/freqplot.py index ebc2191a9..b686e52e9 100644 --- a/control/freqplot.py +++ b/control/freqplot.py @@ -119,36 +119,45 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, # If argument was a singleton, turn it into a list if (not getattr(syslist, '__iter__', False)): syslist = (syslist,) - - mags, phases, omegas = [], [], [] + + if omega is None: + # Select a default range if none is provided + omega = default_frequency_range(syslist) + elif (isinstance(omega, tuple) or isinstance(omega, list)) and len(omega) == 2: + if omega_num: + omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), num=omega_num, endpoint=False) + else: + omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), endpoint=False) + + mags, phases, omegas, nyquistfrqs = [], [], [], [] for sys in syslist: if (sys.inputs > 1 or sys.outputs > 1): #TODO: Add MIMO bode plots. raise NotImplementedError("Bode is currently only implemented for SISO systems.") else: - if omega is None: - # Select a default range if none is provided - omega = default_frequency_range(syslist) - elif (isinstance(omega, tuple) or isinstance(omega, list)) and len(omega) == 2: - if omega_num: - omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), num=omega_num, endpoint=False) - else: - omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), endpoint=False) - + omega_sys = np.array(omega) + if sys.isdtime(True): + nyquistfrq = 2. * np.pi * 1./sys.dt / 2. + omega_sys = omega_sys[omega_sys < nyquistfrq] + else: + nyquistfrq = None # Get the magnitude and phase of the system - omega = np.array(omega) - mag_tmp, phase_tmp, omega_sys = sys.freqresp(omega) + mag_tmp, phase_tmp, omega_sys = sys.freqresp(omega_sys) mag = np.atleast_1d(np.squeeze(mag_tmp)) phase = np.atleast_1d(np.squeeze(phase_tmp)) phase = unwrap(phase) + nyquistfrq_plot = None if Hz: omega_plot = omega_sys / (2. * np.pi) + if nyquistfrq: + nyquistfrq_plot = nyquistfrq / (2. * np.pi) else: omega_plot = omega_sys mags.append(mag) phases.append(phase) omegas.append(omega_sys) + nyquistfrqs.append(nyquistfrq) # Get the dimensions of the current axis, which we will divide up #! TODO: Not current implemented; just use subplot for now @@ -156,11 +165,12 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, # Magnitude plot ax_mag = plt.subplot(211); if dB: - plt.semilogx(omega_plot, 20 * np.log10(mag), *args, **kwargs) + pltline = plt.semilogx(omega_plot, 20 * np.log10(mag), *args, **kwargs) else: - plt.loglog(omega_plot, mag, *args, **kwargs) + pltline = plt.loglog(omega_plot, mag, *args, **kwargs) plt.hold(True); - + if nyquistfrq_plot: + plt.axvline(nyquistfrq_plot, color=pltline[0].get_color()) # Add a grid to the plot + labeling plt.grid(True) plt.grid(True, which='minor') @@ -174,7 +184,8 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, phase_plot = phase plt.semilogx(omega_plot, phase_plot, *args, **kwargs) plt.hold(True); - + if nyquistfrq_plot: + plt.axvline(nyquistfrq_plot, color=pltline[0].get_color()) # Add a grid to the plot + labeling plt.grid(True) plt.grid(True, which='minor') @@ -270,7 +281,7 @@ def nyquist_plot(syslist, omega=None, Plot=True, color='b', # result to the range [-8, 8]. pow1000 = max(min(get_pow1000(f),8),-8) - # Get the SI prefix. + # Get the SI prefix. prefix = gen_prefix(pow1000) # Apply the text. (Use a space before the text to @@ -381,6 +392,7 @@ def default_frequency_range(syslist, number_of_samples=None): # Find the list of all poles and zeros in the systems features = np.array(()) + freq_interesting = [] # detect if single sys passed by checking if it is sequence-like if (not getattr(syslist, '__iter__', False)): @@ -389,8 +401,15 @@ def default_frequency_range(syslist, number_of_samples=None): for sys in syslist: try: # Add new features to the list - features = np.concatenate((features, np.abs(sys.pole()))) - features = np.concatenate((features, np.abs(sys.zero()))) + if sys.isctime(): + features = np.concatenate((features, np.abs(sys.pole()))) + features = np.concatenate((features, np.abs(sys.zero()))) + elif sys.isdtime(strict=True): + freq_interesting.append(np.pi*1./sys.dt) + # TODO: how to determine lowest interesting frequency? + else: + pass + # TODO: except: pass @@ -401,17 +420,21 @@ def default_frequency_range(syslist, number_of_samples=None): if (features.shape[0] == 0): features = [1]; # Take the log of the features + # TODO: in case of Hz==True: wouldn't it make more sense to to set the limits to decades in Hz instead of rad/s? features = np.log10(features) + lsp_min = np.floor(np.min(features))-1 + lsp_max = np.ceil(np.max(features))+1 + if freq_interesting: + lsp_min = min(lsp_min, np.log10(min(freq_interesting))) + lsp_max = max(lsp_max, np.log10(max(freq_interesting))) #! TODO: Add a check in discrete case to make sure we don't get aliasing # Set the range to be an order of magnitude beyond any features if number_of_samples: - omega = sp.logspace(np.floor(np.min(features))-1, - np.ceil(np.max(features))+1, num=number_of_samples) + omega = sp.logspace(lsp_min, lsp_max, num=number_of_samples, endpoint=False) else: - omega = sp.logspace(np.floor(np.min(features))-1, - np.ceil(np.max(features))+1) + omega = sp.logspace(lsp_min, lsp_max, endpoint=False) diff --git a/control/tests/bode_plot__manualtest.py b/control/tests/bode_plot__manualtest.py index fd36fad29..90ee9def0 100644 --- a/control/tests/bode_plot__manualtest.py +++ b/control/tests/bode_plot__manualtest.py @@ -19,8 +19,42 @@ def test__bode_plot_PT1(): w = (2*sp.pi*10.) # 10 Hz pt1 = control.tf([1.], [1/w, 1.]) # first order system print(pt1) - pt1_bodeplot = control.bode_plot(pt1, omega=[2*sp.pi*1., 2*sp.pi*1000.], Plot=True, Hz=True, dB=True, color='b') + control.bode_plot(pt1, Plot=True, Hz=True, dB=True, color='b') + + plt.figure() + plt.gcf().suptitle(testname) + control.nyquist_plot(pt1) + + plt.figure() + plt.gcf().suptitle(testname) + control.gangof4_plot(pt1, pt1) + + + +def test__bode_plot_PT1_3(): + testname = 'test__bode_plot_PT1_3' + print ('\n\n{}{}\n'.format(testname, '-'*20)) + plt.figure() + plt.gcf().suptitle(testname) + + w = (2*sp.pi*10.) # 10 Hz + pt1a = control.tf([1.], [1/w, 1.]) # first order system + control.bode_plot(pt1a, Plot=True, Hz=True, dB=True, color='b') + + w = (2*sp.pi*100.) # 100 Hz + pt1b = control.tf([1.], [1/w, 1.]) # first order system + control.bode_plot(pt1b, Plot=True, Hz=True, dB=True, color='b') + + w = (2*sp.pi*1000.) # 1000 Hz + pt1c = control.tf([1.], [1/w, 1.]) # first order system + control.bode_plot(pt1c, Plot=True, Hz=True, dB=True, color='b') + + print ('\n\n{}{}\n'.format(testname, '-'*20)) + plt.figure() + plt.gcf().suptitle(testname) + control.bode_plot([pt1a, pt1b, pt1c], Plot=True, Hz=True, dB=True, color='b') + def test__bode_plot_PT1_sampled(): testname = 'test__bode_plot_PT1_sampled' @@ -40,9 +74,33 @@ def test__bode_plot_PT1_sampled(): pt1s_bodeplot = control.bode_plot(pt1s, omega=[2*sp.pi*1., 2*sp.pi*500.], omega_num=1000, Plot=True, Hz=True, dB=True, color='r') + +def test__bode_plot_PT1_sampled_b(): + testname = 'test__bode_plot_PT1_sampled_b' + print ('\n\n{}{}\n'.format(testname, '-'*20)) + plt.figure() + plt.gcf().suptitle(testname) + + sampleTime = 0.001 # 1ms + w = (2*sp.pi*10.) # 10 Hz + + pt1 = control.tf([1.], [1/w, 1.]) # first order system + print(pt1) + pt1_bodeplot = control.bode_plot(pt1, Plot=True, Hz=True, dB=True, color='b') + + pt1s = control.sample_system(pt1, sampleTime, 'tustin') + print(pt1s) + pt1s_bodeplot = control.bode_plot(pt1s, omega_num=1000, Plot=True, Hz=True, dB=True, color='r') + + + + + if __name__ == '__main__': test__bode_plot_PT1() + test__bode_plot_PT1_3() test__bode_plot_PT1_sampled() + test__bode_plot_PT1_sampled_b() plt.show() \ No newline at end of file From f2c40e65f852002c6eb3a0124782dc6e118f190a Mon Sep 17 00:00:00 2001 From: martinup Date: Sun, 16 Aug 2015 20:52:42 +0200 Subject: [PATCH 04/13] Added handling of bode_plot frequency limits for discrete systems. --- control/config.py | 2 + control/freqplot.py | 70 +++++++++++++++++--------- control/tests/bode_plot__manualtest.py | 6 +-- 3 files changed, 50 insertions(+), 28 deletions(-) diff --git a/control/config.py b/control/config.py index 83acd2c17..9e5b027ec 100644 --- a/control/config.py +++ b/control/config.py @@ -11,6 +11,8 @@ bode_dB = False # Bode plot magnitude units bode_deg = True # Bode Plot phase units bode_Hz = False # Bode plot frequency units +bode_number_of_samples = None # Bode plot number of samples +bode_feature_periphery_decade = 1.0 # Bode plot feature periphery in decades # Set defaults to match MATLAB def use_matlab_defaults(): diff --git a/control/freqplot.py b/control/freqplot.py index b686e52e9..00d74f7b6 100644 --- a/control/freqplot.py +++ b/control/freqplot.py @@ -44,10 +44,10 @@ import matplotlib.pyplot as plt import scipy as sp import numpy as np -from warnings import warn +#from warnings import warn from .ctrlutil import unwrap from .bdalg import feedback -from .lti import isdtime, timebaseEqual +#from .lti import isdtime, timebaseEqual __all__ = ['bode_plot', 'nyquist_plot', 'gangof4_plot', 'bode', 'nyquist', 'gangof4'] @@ -122,12 +122,12 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, if omega is None: # Select a default range if none is provided - omega = default_frequency_range(syslist) + omega = default_frequency_range(syslist, Hz=Hz) elif (isinstance(omega, tuple) or isinstance(omega, list)) and len(omega) == 2: if omega_num: - omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), num=omega_num, endpoint=False) + omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), num=omega_num, endpoint=True) else: - omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), endpoint=False) + omega = sp.logspace(np.log10(omega[0]), np.log10(omega[1]), endpoint=True) mags, phases, omegas, nyquistfrqs = [], [], [], [] for sys in syslist: @@ -138,7 +138,8 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, omega_sys = np.array(omega) if sys.isdtime(True): nyquistfrq = 2. * np.pi * 1./sys.dt / 2. - omega_sys = omega_sys[omega_sys < nyquistfrq] + nyquistfrq_limit = nyquistfrq - (omega_sys[-1] - omega_sys[-2]) /2. # floating point! + omega_sys = omega_sys[omega_sys < nyquistfrq_limit] else: nyquistfrq = None # Get the magnitude and phase of the system @@ -153,6 +154,8 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, nyquistfrq_plot = nyquistfrq / (2. * np.pi) else: omega_plot = omega_sys + if nyquistfrq: + nyquistfrq_plot = nyquistfrq mags.append(mag) phases.append(phase) @@ -359,7 +362,7 @@ def gangof4_plot(P, C, omega=None): # # Compute reasonable defaults for axes -def default_frequency_range(syslist, number_of_samples=None): +def default_frequency_range(syslist, Hz=None, number_of_samples=None, feature_periphery_decade=None): """Compute a reasonable default frequency range for frequency domain plots. @@ -390,6 +393,13 @@ def default_frequency_range(syslist, number_of_samples=None): # integer. It excludes poles and zeros at the origin. If no features # are found, it turns logspace(-1, 1) + # Set default values for options + from . import config + if (number_of_samples is None): + number_of_samples = config.bode_number_of_samples + if (feature_periphery_decade is None): + feature_periphery_decade = config.bode_feature_periphery_decade + # Find the list of all poles and zeros in the systems features = np.array(()) freq_interesting = [] @@ -402,42 +412,54 @@ def default_frequency_range(syslist, number_of_samples=None): try: # Add new features to the list if sys.isctime(): - features = np.concatenate((features, np.abs(sys.pole()))) - features = np.concatenate((features, np.abs(sys.zero()))) + features_ = np.abs(sys.pole()) + features_ = np.concatenate((features_, np.abs(sys.zero()))) + # Get rid of poles and zeros at the origin + features_ = features_[features_ != 0.0]; + features = np.concatenate((features, features_)) elif sys.isdtime(strict=True): freq_interesting.append(np.pi*1./sys.dt) - # TODO: how to determine lowest interesting frequency? + p = sys.pole() + p = p[p != -1.] + features = np.concatenate((features, np.abs(np.log(p)/sys.dt))) + z = sys.zero() + z = z[(z.imag != 0.0)] + #z = z[(z.imag != 0.0) | (z.real > 0.0)] + features = np.concatenate((features, np.abs(np.log(z)/sys.dt))) else: pass # TODO: except: pass - # Get rid of poles and zeros at the origin - features = features[features != 0]; # Make sure there is at least one point in the range - if (features.shape[0] == 0): features = [1]; - + if (features.shape[0] == 0): + features = [1]; + + if Hz: + features /= 2.*np.pi + features = np.log10(features) + lsp_min = np.floor(np.min(features)) - feature_periphery_decade + lsp_max = np.ceil(np.max(features)) + feature_periphery_decade + lsp_min += np.log10(2.*np.pi) + lsp_max += np.log10(2.*np.pi) + else: # Take the log of the features - # TODO: in case of Hz==True: wouldn't it make more sense to to set the limits to decades in Hz instead of rad/s? - features = np.log10(features) - lsp_min = np.floor(np.min(features))-1 - lsp_max = np.ceil(np.max(features))+1 + features = np.log10(features) + lsp_min = np.floor(np.min(features)) - feature_periphery_decade + lsp_max = np.ceil(np.max(features)) + feature_periphery_decade if freq_interesting: lsp_min = min(lsp_min, np.log10(min(freq_interesting))) lsp_max = max(lsp_max, np.log10(max(freq_interesting))) - #! TODO: Add a check in discrete case to make sure we don't get aliasing + #! TODO: Add a check in discrete case to make sure we don't get aliasing (Attention: there is a list of system but only one omega vector) # Set the range to be an order of magnitude beyond any features if number_of_samples: - omega = sp.logspace(lsp_min, lsp_max, num=number_of_samples, endpoint=False) + omega = sp.logspace(lsp_min, lsp_max, num=number_of_samples, endpoint=True) else: - omega = sp.logspace(lsp_min, lsp_max, endpoint=False) - - - + omega = sp.logspace(lsp_min, lsp_max, endpoint=True) return omega # diff --git a/control/tests/bode_plot__manualtest.py b/control/tests/bode_plot__manualtest.py index 90ee9def0..f82a48231 100644 --- a/control/tests/bode_plot__manualtest.py +++ b/control/tests/bode_plot__manualtest.py @@ -1,7 +1,5 @@ -''' -Created on 3 juli 2015 - -@author: marho40 +#!/usr/bin/env python +'''bode_plot__manualtest.py ''' from __future__ import print_function From ea67935fe84b3d4625a3a3f63af7aaa4a9639358 Mon Sep 17 00:00:00 2001 From: martinup Date: Mon, 17 Aug 2015 21:53:09 +0200 Subject: [PATCH 05/13] Added example as ipython notebook. Optimizing bode-plot. --- .gitignore | 5 + control/freqplot.py | 147 ++--- control/tests/bode_plot__manualtest.py | 104 ---- examples/bode-plot.ipynb | 768 +++++++++++++++++++++++++ 4 files changed, 853 insertions(+), 171 deletions(-) delete mode 100644 control/tests/bode_plot__manualtest.py create mode 100644 examples/bode-plot.ipynb diff --git a/.gitignore b/.gitignore index 3dcca995d..02de66ea3 100644 --- a/.gitignore +++ b/.gitignore @@ -12,3 +12,8 @@ build.log .coverage doc/_build doc/generated + +examples/.ipynb_checkpoints/bode-plot-checkpoint.ipynb +.settings/org.eclipse.core.resources.prefs +.pydevproject +.project \ No newline at end of file diff --git a/control/freqplot.py b/control/freqplot.py index 00d74f7b6..9dd690b82 100644 --- a/control/freqplot.py +++ b/control/freqplot.py @@ -44,10 +44,8 @@ import matplotlib.pyplot as plt import scipy as sp import numpy as np -#from warnings import warn from .ctrlutil import unwrap from .bdalg import feedback -#from .lti import isdtime, timebaseEqual __all__ = ['bode_plot', 'nyquist_plot', 'gangof4_plot', 'bode', 'nyquist', 'gangof4'] @@ -132,14 +130,15 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, mags, phases, omegas, nyquistfrqs = [], [], [], [] for sys in syslist: if (sys.inputs > 1 or sys.outputs > 1): - #TODO: Add MIMO bode plots. + # TODO: Add MIMO bode plots. raise NotImplementedError("Bode is currently only implemented for SISO systems.") else: omega_sys = np.array(omega) if sys.isdtime(True): - nyquistfrq = 2. * np.pi * 1./sys.dt / 2. - nyquistfrq_limit = nyquistfrq - (omega_sys[-1] - omega_sys[-2]) /2. # floating point! - omega_sys = omega_sys[omega_sys < nyquistfrq_limit] + nyquistfrq = 2. * np.pi * 1. / sys.dt / 2. + omega_sys = omega_sys[omega_sys < nyquistfrq] + nyquistfrq_limit = nyquistfrq - (omega_sys[-1] - omega_sys[-2]) / 2. # floating point! + omega_sys = omega_sys[omega_sys < nyquistfrq_limit] # in two steps to get the right increment else: nyquistfrq = None # Get the magnitude and phase of the system @@ -162,41 +161,57 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, omegas.append(omega_sys) nyquistfrqs.append(nyquistfrq) # Get the dimensions of the current axis, which we will divide up - #! TODO: Not current implemented; just use subplot for now + # ! TODO: Not current implemented; just use subplot for now if (Plot): # Magnitude plot ax_mag = plt.subplot(211); if dB: - pltline = plt.semilogx(omega_plot, 20 * np.log10(mag), *args, **kwargs) + pltline = ax_mag.semilogx(omega_plot, 20 * np.log10(mag), *args, **kwargs) else: - pltline = plt.loglog(omega_plot, mag, *args, **kwargs) + pltline = ax_mag.loglog(omega_plot, mag, *args, **kwargs) plt.hold(True); if nyquistfrq_plot: - plt.axvline(nyquistfrq_plot, color=pltline[0].get_color()) + ax_mag.axvline(nyquistfrq_plot, color=pltline[0].get_color()) + # Add a grid to the plot + labeling - plt.grid(True) - plt.grid(True, which='minor') - plt.ylabel("Magnitude (dB)" if dB else "Magnitude") + ax_mag.grid(True, which='both') + ax_mag.set_ylabel("Magnitude (dB)" if dB else "Magnitude") # Phase plot - plt.subplot(212, sharex=ax_mag); + ax_phase = plt.subplot(212, sharex=ax_mag); if deg: phase_plot = phase * 180. / np.pi else: phase_plot = phase - plt.semilogx(omega_plot, phase_plot, *args, **kwargs) - plt.hold(True); + ax_phase.semilogx(omega_plot, phase_plot, *args, **kwargs) + ax_phase.hold(True); if nyquistfrq_plot: - plt.axvline(nyquistfrq_plot, color=pltline[0].get_color()) + ax_phase.axvline(nyquistfrq_plot, color=pltline[0].get_color()) + # Add a grid to the plot + labeling - plt.grid(True) - plt.grid(True, which='minor') - plt.ylabel("Phase (deg)" if deg else "Phase (rad)") - + ax_phase.set_ylabel("Phase (deg)" if deg else "Phase (rad)") + def genZeroCenteredSeries(val_min, val_max, period): + v1 = np.ceil(val_min / period - 0.2) + v2 = np.floor(val_max / period + 0.2) + return np.arange(v1, v2 + 1) * period + if deg: + ylim = ax_phase.get_ylim() + ax_phase.set_yticks(genZeroCenteredSeries(ylim[0], ylim[1], 45.)) + ax_phase.set_yticks(genZeroCenteredSeries(ylim[0], ylim[1], 15.), minor=True) + else: + ylim = ax_phase.get_ylim() + ax_phase.set_yticks(genZeroCenteredSeries(ylim[0], ylim[1], np.pi / 4.)) + ax_phase.set_yticks(genZeroCenteredSeries(ylim[0], ylim[1], np.pi / 12.), minor=True) + ax_phase.grid(True, which='both') + # ax_mag.grid(which='minor', alpha=0.3) + # ax_mag.grid(which='major', alpha=0.9) + # ax_phase.grid(which='minor', alpha=0.3) + # ax_phase.grid(which='major', alpha=0.9) + # Label the frequency axis - plt.xlabel("Frequency (Hz)" if Hz else "Frequency (rad/sec)") - + ax_phase.set_xlabel("Frequency (Hz)" if Hz else "Frequency (rad/sec)") + if len(syslist) == 1: return mags[0], phases[0], omegas[0] else: @@ -242,11 +257,11 @@ def nyquist_plot(syslist, omega=None, Plot=True, color='b', # Select a default range if none is provided if omega is None: - #! TODO: think about doing something smarter for discrete + # ! TODO: think about doing something smarter for discrete omega = default_frequency_range(syslist) # Interpolate between wmin and wmax if a tuple or list are provided - elif (isinstance(omega,list) | isinstance(omega,tuple)): + elif (isinstance(omega, list) | isinstance(omega, tuple)): # Only accept tuple or list of length 2 if (len(omega) != 2): raise ValueError("Supported frequency arguments are (wmin,wmax) tuple or list, or frequency vector. ") @@ -254,7 +269,7 @@ def nyquist_plot(syslist, omega=None, Plot=True, color='b', num=50, endpoint=True, base=10.0) for sys in syslist: if (sys.inputs > 1 or sys.outputs > 1): - #TODO: Add MIMO nyquist plots. + # TODO: Add MIMO nyquist plots. raise NotImplementedError("Nyquist is currently only implemented for SISO systems.") else: # Get the magnitude and phase of the system @@ -278,11 +293,11 @@ def nyquist_plot(syslist, omega=None, Plot=True, color='b', ind = slice(None, None, labelFreq) for xpt, ypt, omegapt in zip(x[ind], y[ind], omega[ind]): # Convert to Hz - f = omegapt/(2*sp.pi) + f = omegapt / (2 * sp.pi) # Factor out multiples of 1000 and limit the # result to the range [-8, 8]. - pow1000 = max(min(get_pow1000(f),8),-8) + pow1000 = max(min(get_pow1000(f), 8), -8) # Get the SI prefix. prefix = gen_prefix(pow1000) @@ -294,12 +309,12 @@ def nyquist_plot(syslist, omega=None, Plot=True, color='b', # instead of 1.0, and this would otherwise be # truncated to 0. plt.text(xpt, ypt, - ' ' + str(int(np.round(f/1000**pow1000, 0))) + + ' ' + str(int(np.round(f / 1000 ** pow1000, 0))) + ' ' + prefix + 'Hz') return x, y, omega # Gang of Four -#! TODO: think about how (and whether) to handle lists of systems +# ! TODO: think about how (and whether) to handle lists of systems def gangof4_plot(P, C, omega=None): """Plot the "Gang of 4" transfer functions for a system @@ -317,34 +332,34 @@ def gangof4_plot(P, C, omega=None): ------- None """ - if (P.inputs > 1 or P.outputs > 1 or C.inputs > 1 or C.outputs >1): - #TODO: Add MIMO go4 plots. + if (P.inputs > 1 or P.outputs > 1 or C.inputs > 1 or C.outputs > 1): + # TODO: Add MIMO go4 plots. raise NotImplementedError("Gang of four is currently only implemented for SISO systems.") else: # Select a default range if none is provided - #! TODO: This needs to be made more intelligent + # ! TODO: This needs to be made more intelligent if omega is None: - omega = default_frequency_range((P,C)) + omega = default_frequency_range((P, C)) # Compute the senstivity functions - L = P*C; + L = P * C; S = feedback(1, L); T = L * S; # Plot the four sensitivity functions - #! TODO: Need to add in the mag = 1 lines + # ! TODO: Need to add in the mag = 1 lines mag_tmp, phase_tmp, omega = T.freqresp(omega); mag = np.squeeze(mag_tmp) phase = np.squeeze(phase_tmp) plt.subplot(221); plt.loglog(omega, mag); - mag_tmp, phase_tmp, omega = (P*S).freqresp(omega); + mag_tmp, phase_tmp, omega = (P * S).freqresp(omega); mag = np.squeeze(mag_tmp) phase = np.squeeze(phase_tmp) plt.subplot(222); plt.loglog(omega, mag); - mag_tmp, phase_tmp, omega = (C*S).freqresp(omega); + mag_tmp, phase_tmp, omega = (C * S).freqresp(omega); mag = np.squeeze(mag_tmp) phase = np.squeeze(phase_tmp) plt.subplot(223); plt.loglog(omega, mag); @@ -418,14 +433,13 @@ def default_frequency_range(syslist, Hz=None, number_of_samples=None, feature_pe features_ = features_[features_ != 0.0]; features = np.concatenate((features, features_)) elif sys.isdtime(strict=True): - freq_interesting.append(np.pi*1./sys.dt) + freq_interesting.append(np.pi * 1. / sys.dt) p = sys.pole() p = p[p != -1.] - features = np.concatenate((features, np.abs(np.log(p)/sys.dt))) + features = np.concatenate((features, np.abs(np.log(p) / sys.dt))) z = sys.zero() - z = z[(z.imag != 0.0)] - #z = z[(z.imag != 0.0) | (z.real > 0.0)] - features = np.concatenate((features, np.abs(np.log(z)/sys.dt))) + z = z[(z.imag != 0.0)] # Get rid of poles and zeros at the origin and real <= 0 & imag==0 + features = np.concatenate((features, np.abs(np.log(z) / sys.dt))) else: pass # TODO: @@ -440,20 +454,19 @@ def default_frequency_range(syslist, Hz=None, number_of_samples=None, feature_pe if Hz: features /= 2.*np.pi features = np.log10(features) - lsp_min = np.floor(np.min(features)) - feature_periphery_decade - lsp_max = np.ceil(np.max(features)) + feature_periphery_decade + lsp_min = np.floor(np.min(features) - feature_periphery_decade) + lsp_max = np.ceil(np.max(features) + feature_periphery_decade) lsp_min += np.log10(2.*np.pi) lsp_max += np.log10(2.*np.pi) else: - # Take the log of the features features = np.log10(features) - lsp_min = np.floor(np.min(features)) - feature_periphery_decade - lsp_max = np.ceil(np.max(features)) + feature_periphery_decade + lsp_min = np.floor(np.min(features) - feature_periphery_decade) + lsp_max = np.ceil(np.max(features) + feature_periphery_decade) if freq_interesting: lsp_min = min(lsp_min, np.log10(min(freq_interesting))) lsp_max = max(lsp_max, np.log10(max(freq_interesting))) - #! TODO: Add a check in discrete case to make sure we don't get aliasing (Attention: there is a list of system but only one omega vector) + # ! TODO: Add a check in discrete case to make sure we don't get aliasing (Attention: there is a list of system but only one omega vector) # Set the range to be an order of magnitude beyond any features if number_of_samples: @@ -478,7 +491,7 @@ def get_pow1000(num): return 0 elif dnum < 0: dnum = -dnum - return int(floor(dnum.log10()/3)) + return int(floor(dnum.log10() / 3)) def gen_prefix(pow1000): '''Return the SI prefix for a power of 1000. @@ -487,23 +500,23 @@ def gen_prefix(pow1000): # deca, deci, and centi). if pow1000 < -8 or pow1000 > 8: raise ValueError("Value is out of the range covered by the SI prefixes.") - return ['Y', # yotta (10^24) - 'Z', # zetta (10^21) - 'E', # exa (10^18) - 'P', # peta (10^15) - 'T', # tera (10^12) - 'G', # giga (10^9) - 'M', # mega (10^6) - 'k', # kilo (10^3) - '', # (10^0) - 'm', # milli (10^-3) - r'$\mu$', # micro (10^-6) - 'n', # nano (10^-9) - 'p', # pico (10^-12) - 'f', # femto (10^-15) - 'a', # atto (10^-18) - 'z', # zepto (10^-21) - 'y'][8 - pow1000] # yocto (10^-24) + return ['Y', # yotta (10^24) + 'Z', # zetta (10^21) + 'E', # exa (10^18) + 'P', # peta (10^15) + 'T', # tera (10^12) + 'G', # giga (10^9) + 'M', # mega (10^6) + 'k', # kilo (10^3) + '', # (10^0) + 'm', # milli (10^-3) + r'$\mu$', # micro (10^-6) + 'n', # nano (10^-9) + 'p', # pico (10^-12) + 'f', # femto (10^-15) + 'a', # atto (10^-18) + 'z', # zepto (10^-21) + 'y'][8 - pow1000] # yocto (10^-24) # Function aliases bode = bode_plot diff --git a/control/tests/bode_plot__manualtest.py b/control/tests/bode_plot__manualtest.py deleted file mode 100644 index f82a48231..000000000 --- a/control/tests/bode_plot__manualtest.py +++ /dev/null @@ -1,104 +0,0 @@ -#!/usr/bin/env python -'''bode_plot__manualtest.py -''' - -from __future__ import print_function -import scipy as sp -import matplotlib.pyplot as plt - -import control - -def test__bode_plot_PT1(): - testname = 'test__bode_plot_PT1' - print ('\n\n{}{}\n'.format(testname, '-'*20)) - plt.figure() - plt.gcf().suptitle(testname) - - w = (2*sp.pi*10.) # 10 Hz - pt1 = control.tf([1.], [1/w, 1.]) # first order system - print(pt1) - control.bode_plot(pt1, Plot=True, Hz=True, dB=True, color='b') - - plt.figure() - plt.gcf().suptitle(testname) - control.nyquist_plot(pt1) - - - plt.figure() - plt.gcf().suptitle(testname) - control.gangof4_plot(pt1, pt1) - - - -def test__bode_plot_PT1_3(): - testname = 'test__bode_plot_PT1_3' - print ('\n\n{}{}\n'.format(testname, '-'*20)) - plt.figure() - plt.gcf().suptitle(testname) - - w = (2*sp.pi*10.) # 10 Hz - pt1a = control.tf([1.], [1/w, 1.]) # first order system - control.bode_plot(pt1a, Plot=True, Hz=True, dB=True, color='b') - - w = (2*sp.pi*100.) # 100 Hz - pt1b = control.tf([1.], [1/w, 1.]) # first order system - control.bode_plot(pt1b, Plot=True, Hz=True, dB=True, color='b') - - w = (2*sp.pi*1000.) # 1000 Hz - pt1c = control.tf([1.], [1/w, 1.]) # first order system - control.bode_plot(pt1c, Plot=True, Hz=True, dB=True, color='b') - - print ('\n\n{}{}\n'.format(testname, '-'*20)) - plt.figure() - plt.gcf().suptitle(testname) - control.bode_plot([pt1a, pt1b, pt1c], Plot=True, Hz=True, dB=True, color='b') - - -def test__bode_plot_PT1_sampled(): - testname = 'test__bode_plot_PT1_sampled' - print ('\n\n{}{}\n'.format(testname, '-'*20)) - plt.figure() - plt.gcf().suptitle(testname) - - sampleTime = 0.001 # 1ms - w = (2*sp.pi*10.) # 10 Hz - - pt1 = control.tf([1.], [1/w, 1.]) # first order system - print(pt1) - pt1_bodeplot = control.bode_plot(pt1, omega=[2*sp.pi*1., 2*sp.pi*1000.], Plot=True, Hz=True, dB=True, color='b') - - pt1s = control.sample_system(pt1, sampleTime, 'tustin') - print(pt1s) - pt1s_bodeplot = control.bode_plot(pt1s, omega=[2*sp.pi*1., 2*sp.pi*500.], omega_num=1000, Plot=True, Hz=True, dB=True, color='r') - - - -def test__bode_plot_PT1_sampled_b(): - testname = 'test__bode_plot_PT1_sampled_b' - print ('\n\n{}{}\n'.format(testname, '-'*20)) - plt.figure() - plt.gcf().suptitle(testname) - - sampleTime = 0.001 # 1ms - w = (2*sp.pi*10.) # 10 Hz - - pt1 = control.tf([1.], [1/w, 1.]) # first order system - print(pt1) - pt1_bodeplot = control.bode_plot(pt1, Plot=True, Hz=True, dB=True, color='b') - - pt1s = control.sample_system(pt1, sampleTime, 'tustin') - print(pt1s) - pt1s_bodeplot = control.bode_plot(pt1s, omega_num=1000, Plot=True, Hz=True, dB=True, color='r') - - - - - -if __name__ == '__main__': - test__bode_plot_PT1() - test__bode_plot_PT1_3() - test__bode_plot_PT1_sampled() - test__bode_plot_PT1_sampled_b() - plt.show() - - \ No newline at end of file diff --git a/examples/bode-plot.ipynb b/examples/bode-plot.ipynb new file mode 100644 index 000000000..015088c6a --- /dev/null +++ b/examples/bode-plot.ipynb @@ -0,0 +1,768 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:3208a0d586b05dfa19a49838f07e859c0e3a00f33dbbfc723663b6f14edb4a48" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sys.path.insert(0, r'C:\\data\\githubprojects\\python-control')\n", + "# in case python-control is ot in the sys.path" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import seaborn as sns\n", + "# results in a look people say is modern" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import scipy as sp" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", + "plt.rcParams['figure.figsize'] = (20.0, 15.0) # figure size for inline plots" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#%matplotlib qt\n", + "# in case zoomable figures are wanted" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%load_ext autoreload\n", + "%autoreload 2\n", + "# only needed when developing python-control" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import control as pc" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "define some systems" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "w001rad = 1. # 1 rad/s\n", + "w010rad = 10. # 10 rad/s\n", + "w100rad = 100. # 100 rad/s\n", + "w001hz = 2*sp.pi*1. # 1 Hz\n", + "w010hz = 2*sp.pi*10. # 10 Hz\n", + "w100hz = 2*sp.pi*100. # 100 Hz\n", + "display((w001hz, w010hz, w100hz))\n", + "pt1_w001rad = pc.tf([1.], [1./w001rad, 1.]) # first order system \n", + "display(pt1_w001rad)\n", + "pt1_w001hz = pc.tf([1.], [1./w001hz, 1.]) # first order system \n", + "display(pt1_w001hz)\n", + "pt2_w001hz = pc.tf([1.], [1./w001hz**2, 1./w001hz, 1.]) # second order system \n", + "display(pt2_w001hz)\n", + "pt5hz = pc.tf([1.], [1./w001hz, 1.]) * pc.tf([1.], [1./w010hz**2, 1./w010hz, 1.]) * pc.tf([1.], [1./w100hz**2, 1./w100hz, 1.])\n", + "display(pt5hz)\n", + "pt1_w001hzi = pc.tf([1., 0.], [1./w001hz, 1.]) # first order system \n", + "display(pt1_w001hzi)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "(6.283185307179586, 62.83185307179586, 628.3185307179587)" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "\n", + " 1\n", + "-----\n", + "s + 1" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "\n", + " 1\n", + "------------\n", + "0.1592 s + 1" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "\n", + " 1\n", + "--------------------------\n", + "0.02533 s^2 + 0.1592 s + 1" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "\n", + " 1\n", + "---------------------------------------------------------------------------\n", + "1.021e-10 s^5 + 7.122e-08 s^4 + 4.519e-05 s^3 + 0.003067 s^2 + 0.1767 s + 1" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "\n", + " s\n", + "------------\n", + "0.1592 s + 1" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "heading", + "level": 3, + "metadata": {}, + "source": [ + "sampled systems" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "sampleTime = 0.001\n", + "display('Nyqist freqency: {:.0f} Hz, {:.0f} rad/s'.format(1./sampleTime /2., 2*sp.pi*1./sampleTime /2.))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "text": [ + "'Nyqist freqency: 500 Hz, 3142 rad/s'" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pt1_w001rads = pc.sample_system(pt1_w001rad, sampleTime, 'tustin')\n", + "pt1_w001rads" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 10, + "text": [ + "\n", + "0.0004998 z + 0.0004998\n", + "-----------------------\n", + " z - 0.999\n", + "\n", + "dt = 0.001" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pt1_w001hzs = pc.sample_system(pt1_w001hz, sampleTime, 'tustin')\n", + "pt1_w001hzs" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 11, + "text": [ + "\n", + "0.003132 z + 0.003132\n", + "---------------------\n", + " z - 0.9937\n", + "\n", + "dt = 0.001" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pt1_w001hzis = pc.sample_system(pt1_w001hzi, sampleTime, 'tustin')\n", + "pt1_w001hzis" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 12, + "text": [ + "\n", + "6.264 z - 6.264\n", + "---------------\n", + " z - 0.9937\n", + "\n", + "dt = 0.001" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pt2_w001hzs = pc.sample_system(pt2_w001hz, sampleTime, 'tustin')\n", + "pt2_w001hzs" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 13, + "text": [ + "\n", + "9.839e-06 z^2 + 1.968e-05 z + 9.839e-06\n", + "---------------------------------------\n", + " z^2 - 1.994 z + 0.9937\n", + "\n", + "dt = 0.001" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pt5s = pc.sample_system(pt5hz, sampleTime, 'tustin')\n", + "pt5s" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 14, + "text": [ + "\n", + "2.091e-07 z^5 + 1.046e-06 z^4 + 2.091e-06 z^3 + 2.091e-06 z^2 + 1.046e-06 z + 2.091e-07\n", + "---------------------------------------------------------------------------------------\n", + " z^5 - 4.205 z^4 + 7.155 z^3 - 6.212 z^2 + 2.78 z - 0.5182\n", + "\n", + "dt = 0.001" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pt5sh = pc.sample_system(pt5hz, sampleTime/4, 'tustin')\n", + "pt5sh" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 15, + "text": [ + "\n", + "2.731e-10 z^5 + 1.366e-09 z^4 + 2.731e-09 z^3 + 2.731e-09 z^2 + 1.366e-09 z + 2.731e-10\n", + "---------------------------------------------------------------------------------------\n", + " z^5 - 4.815 z^4 + 9.286 z^3 - 8.968 z^2 + 4.337 z - 0.8405\n", + "\n", + "dt = 0.00025" + ] + } + ], + "prompt_number": 15 + }, + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "bode plots" + ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "PT1 1rad/s" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mag, phase, omega = pc.bode_plot(pt1_w001rad)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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nvTHdk5tG7+toTHNDXUolG5oDAAAAY5vYVJBS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\nkpqaUm5d0Jfl5d68tPVQHlq1Iy9sPpgXNh/Mwlmd+eSK2VkwsyOlUqn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Lpmnmz7Hp0LwAAAAsdPXGPe0+1qePD/fq8rW7kqSq8gw9t6lYa5flyOVyWhwh\nAADAZ157c7ck6e03dlkcCeZhznM4WLUaXZOk5yW9axjGeknt82lsdPRGQIIKB5mZibbtj1DHFozz\nBarN+bQzl2Nnc0yw9g13du6LcMi9QLVr59ybyf51VbnauiJbvSO39H7jebV1XVZb12WlJUWrrtqt\nrVV5SoyLmlWMCx25F/zzkXvziyVc2bkvyL3AtROsXJrt/na+3kLN7n3xeHyTk/77QoIZL9/55nbM\nbHJvrkJdbHp4F9L7kp4yDKNp+vfvhTgOAAAWJJfTqQ0r8lSWk6j+0Zva29Kvw6eH9LP9PfrXQxe0\nbmmW6ld7VJSTZHWoAAAAWKRCVmwyTfOCpI3Tz32S/jRU5wYAIBy5MxP0+08b+sa2Uh0+PaiGln41\nnR5S0+khleYlaUetR6uNLEVGMMQOAAAAoROyOZuCaMG/AAAAAmFqyqfWrlF9dKhXn3YOyeeTUhKi\n9fT6Qj2zsUjpybFWhwgAABYJ5mwKC3Oesyksik12HrMaanYewxsO4+cZvzv/WMKVnfsiHHIvUO3a\nOfdms/9M9hu5ekf7Wvp1sH1At+5OyOlwqMbIVH2NWxX5KXI45vzZwVbIveCfj9ybXyzhys59Qe4F\nrh3mbLIfu/fF4/F9/63DkqQfvL4xJOezW5t2fu+bRe4tuAnCAQBAEGWlxOrVHWV6YUuxjnUMq6HZ\nqxNnR3Ti7Ig8mQmqr3Vr/bIcRUe5rA4VAAAAYYZiEwAAYSw60qWtVXnasjJXXd5r2tviVbM5qr//\nlal3G7u1pSpXddVuZaXGWR0qAAAAwgTFJgAAFgGHw6GK/BRV5Kdo/MY97W/t177WAf36+CXtPn5J\nK0rTVV/r0fLiNDnDZIgdAAAArBEWczZZHQAAAAvRg4kpHW4f0IeHenS2b1ySlJcRr+c2Fat+TYHi\nYyMtjhAAACxUTBAeFpggHH52njAuHCZrZLK4+ccSruzcF+GQe4Fq1865N5v9g9HHF4aua29zv452\nDGtickrRkS5trMzRjlqP3BnxAT1XIJF7wT8fuTe/WMKVnfuC3AtcO0wQbj927wsmCA9MO3b5zscE\n4QAAYF6KcpL0b55L0it1pTrYPqjGFq8aT/ar8WS/lhamqr7Wo6qydLmcTqtDBQAAgM1RbAIAAI8k\nxkXp2fWFenptvtrOj6mh2avOvnF19o0rPSladTUebVmZq8S4KKtDBQAAgE1RbAIAAL/F5XSqpiJT\nNRWZ6r8mNFmpAAAgAElEQVR8S3ubvTp8ekg/3detnx/s1fpl2aqv9agwJ9HqUAEAAGAzFJsAAMBX\ncmfE6/efNvSNbaVqOjWohhavDp0a1KFTgypzJ2tHrVurjSxFuBhiBwAAgDCZINzqAAAAWEympnw6\neW5EHx7qVfPZYfl8UmpitJ7ZUKSnNxQpLSnG6hABAIDFWI0uLLAaHfzsvDpBOKwMwsoE848lXNm5\nL8Ih9wLVrp1zbzb72+l6Gx6/rcaWfh1sH9SdexNyOR1avSRL9TUelbqT5HDM+TPKjNipLz6P3AtM\nG+SePdm5L8i9wLXDanT2Y/e+YDW6wLRjl+98rEYHAAAskZ0ap2/Xl+ulLSU6cmZIDc1eHesY1rGO\nYRVmJ2pHrVvrlmYrKtJldagAAAAIEYpNAABg3qKjXNpe7da2VXkyL15VQ7NXLV2j+rtfntW7jd3a\nUpWrumq3MpJjrQ4VAAAAQUaxCQAABIzD4dCSwlQtKUzV2LW72tfar/2tA/r46EX96thFVZdnqr7G\nrSWFqUEfYgcAAABrUGwCAABBkZ4co29sK9XXNxXpeOeI9jR71XJuVC3nRuXOiNeOWo82LM9WTBQf\nRwAAAMJJWEwQbnUAAADgyXw+n8y+cX14qFdN7f2amPQpPiZC9WsL9NymYuVlJFgdIgAACBBWowsL\nrEYHPzuvThAOK4OwMsH8YwlXdu6LcMi9QLVr59ybzf52vt5m6urNe9rfOqB9J/t17dZ9OSStKE1X\nfa1Hy4vT5JzhEDs79wW5F5g2yD17snNfkHuBa4fV6OzH7n3BanSBaccu3/lYjQ4AACwoKQnRemFz\nsZ7bUKgT5oj2NvervXtM7d1jyk6N1Y4ajzatyFVcDB9VAAAAFho+wQEAAMtEuJxavyxH65flqG/o\nhvY0X9KxjhH9c0OX3jvYo42VOaqv8SgvI97qUAEAADBDFJsAAIAtFOYk6rXnlumVujIdbBtQ48l+\nNbb4H0sLU7Wz1qOqsgw5naxiBwAAYGcUmwAAgK0kxUXpuQ1F+tq6ArV2XVZDs1edfePq7BtXRnKM\n6mrc2rIyTwmxkVaHCgAAgC9AsQkAANiSy+lUrZGlWiNL3pGb2tvi1eEzQ3q3sVs/P9ir9cuy9cpT\nhhIinVaHCgAAgMeExWp0VgcAAABC4+bt+9rz6UV91NSrobHbkqTlJen6nc3FWl+ZqwgXhScAAOzg\ntTd3S5LefmOXxZFgHhb3anR2Xvox1Oy8FGY4LEPLMpjzjyVc2bkvwiH3AtWunXNvNvvb+XoLhU3L\nsrVhSZbae8Z06NSQWswRnekZU2pitLZXu7WtKk9J8VFWh0nuBagNcs+e7NwX5F7g2glWLs12fztf\nb6Fm9754PL7JSf99IcGMl+98cztmNrk3V2FRbAIAAIuL0+nQqrIMPbWhWO1nh7S3pV9Npwb1/oEe\nfdDUqzVLsrVztUfFuUlWhwoAALDoUGwCAAALWm56vH7vqQq9vLVEh08PqaHZqyNnhnTkzJBK8pJU\nX+vRmiVZDLEDAAAIEYpNAAAgLMRGR6i+1qO6Grc6LlxRwwmv2rvH9LcDHXpn73ltX5WnbavcSk2M\ntjpUAACAsEaxCQAAhBWnw6HK4nRVFqdr5OodNbZ4dbBtUL9ouqCPjvSp1shUfa1HZe5kORxznvcS\nAAAAX4JiEwAACFtZKbH61o5yvbi5REc6/EPsjneO6HjniAqyE1Rf69G6pdmKinRZHSoAAEDYoNgE\nAADCXnSUS9tX+VeqMy9eVUOzVy1do/q7X57Vu43d2lqVp7pqt9KTY6wOFQAAYMGj2AQAABYNh8Oh\nJYWpWlKYqrFrd7WvtV/7Wwf0y6N9+vhYn2rK/UPsjIIUhtgBAADMEcUmAACwKKUnx+gb20r19U1F\nOtYxooZmr5rPjar53KjcmfGqr/Fow/IcRUcxxA4AAGA2HD6fz+oY5mvBvwAAAGA9n8+nsxfG9eGh\nHjW1D2hyyqf42Eg9tbZAz20qVk56vNUhAgCwYLz25m5J0ttv7LI4EszDnG/zDoti0+joDatjsI3M\nzETZtT9CHVswzheoNufTzlyOnc0xwdo33Nm5L8Ih9wLVrp1zbzb72/l6C7Vg9cX4jXva39qvfa0D\nun7rvhySVpamq361R8uL0mY0xI7cC0wb5J492bkvyL3AtROsXJrt/na+3kLN7n3xeHzff+uwJOkH\nr28Myfns1qad3/tmkXtzLjYxjA4AAOBzUhOj9eKWEv3OxiJ9etY/xK6te0xt3WPKSYtTfa1HGytz\nFBvNRykAAIDP4xMSAADAl4hwObVheY42LM9R7+B17Tnh1adnh/XjT87pZ/u7tWlFruprPcpJi7M6\nVAAAANug2AQAADADxblJ+uPnl+lbO8q0v7VfjSf71dDsVUOzV5XFaaqv9WhFabqcrGIHAAAWOYpN\nAAAAs5AUH6XnNxXrmfWFOtl1WQ0nLul07xWd7r2irJRY7ahxa/PKXKvDBAAAsAzFJgAAgDmIcDm1\nZkmW1izJ0sXhG2po9upox7B+sve83jvYo/rVBdq4LEvuzASrQwUAAAgpik0AAADzVJCdqO89u1Sv\n1JXpYNuA9rb06+MjF/TxkQtaWpiq+lqPVpVlyOlkiB0AAAh/FJsAAAACJCE2Us+sL9TTawvUM3JL\n7zd2qbNvXJ1940pPitGOGre2VOUpITbS6lABAACChmITAABAgDmdDm1YkauynAT1j95UQ0u/Dp8e\n1Lv7uvXzQ71avyxb9bUeFWQnWh0qAABAwFFsAgAACCJ3ZoL+4GlD39xWokPtg2po8epg+6AOtg+q\nwpOs+tX5qi7PUITLaXWoAAAAAUGxCQAAIATiYiK1a22Bdq7J16nuMTU0e3W694rOea8pNTFa26vd\n2laVp6T4KKtDBQAAmBeHz+ezOob5WvAvAAAALE7ekRv6qKlXDZ9e0p17E4pwObVlVZ5+Z3OJKgpS\nrQ4PAIA5e+3N3ZKkt9/YZXEkmIc5r2wSFsWm0dEbVsdgG5mZibJrf4Q6tmCcL1BtzqeduRw7m2OC\ntW+4s3NfhEPuBapdO+febPa38/UWanbui9nEdufehA6fHlJDs1dDV25LkkrzklRf69HqJVkzGmJH\n7s39GHJv9uzcF7zvBa6dYOXSbPe38/UWanbvi8fj+/5bhyVJP3h9Y0jOZ7c27fzeN4vcm3OxiWF0\nAAAAFouNjlB9rUd1NW51XLiihhNetXePqXugQz/Ze17bV+Vpe7VbKQnRVocKAADwRBSbAAAAbMLp\ncKiyOF2VxekaGb+tvS39Otg+qF80XdBHR/pUa2RqZ22+St1Jcjjm/J+NAAAAQUWxCQAAwIayUuP0\n7fpyvbSlREfO+IfYHe8c0fHOERXmJGpnrUdrl2YpMsJldagAAAC/gWITAACAjUVHufwr1a3K09m+\nce1p9qr1/GW9/VGn3tl7XttW5amu2q3MzESrQwUAAJBEsQkAAGBBcDgcWlqUpqVFabp87Y4aW/p1\noG1AHx3p08dHL2rDilxtrsxWRX4KQ+wAAIClKDYBAAAsMBnJsXqlrkwvbC7W0Y5hNTR71dQ+oKb2\nAeVnJai+1qN1y7IVHckQOwAAEHoUmwAAABaoqEiXtlblacvKXI3efKCfNpxTizmqH318Vu82nteW\nqjztqHYrIyXW6lABAMAiQrEJAABggXM4HFpekq6sxEpduX5X+1r7tb91QL86dlG/Pn5Rq8oyVF/r\n0dLCVIbYAQCAoKPYBAAAEEbSkmL08tZSPb+xSMc7R9TQ7NXJrss62XVZeRnxqq/1aMPybMVE8TEQ\nAAAEB58yAAAAwlBkhEubVuRqY2WOegauq6HZq0/Pjugff23qp/u6tWVlrupq3MpOjbM6VAAAEGYo\nNgEAAIQxh8OhUneySt3JenVHmfa3DmjfyX7t/vSSPvn0klaUpmtnrUfLitPkZIgdAAAIAIpNAAAA\ni0RKQrRe2Fys5zYU6oQ5ooYTXrV3j6m9e0zZaXGqr3Fr04pcxUbzEREAAMwdnyQAAAAWmQiXU+uX\n5Wj9shz1DvqH2B3vHNY/7enSewd6tKkyVztq3cpNj7c6VAAAsABRbAIAAFjEinOT9Ee/s0yv1pVp\nf5t/iF1Di1cNLV4tL07TyzvKVZgRxxA7AAAwYw6fz2d1DPO14F8AAACAXUxMTuno6UF9eKhXZ3rG\nJEm56fF6dlOxdq4tUEJspMURAgAWgtfe3C1JevuNXRZHgnmY8/80hUWxaXT0htUx2EZmZqLs2h+h\nji0Y5wtUm/NpZy7HzuaYYO0b7uzcF+GQe4Fq1865N5v97Xy9hZqd+yIccu/i8A01nRnWvhavHkxM\nKTrSpQ2VOaqv9cidMfMhduRe+LFzX4RD7gWy3VDmH7kXfHbvi8fj+/5bhyVJP3h9Y0jOZ7c27fze\nN4vcm3OxiWF0AAAA+EIF2YmqrczT8xsKdaBtQI0tXu072a99J/u1tDBV9bUerSrLkNPJEDsAAPAZ\nik0AAAD4SgmxkXp2faGeXpuv1q4xNTRfUmffuDr7xpWeFKMdtW5tWZnHEDsAACCJYhMAAABmyOV0\nqtbIVK2RKe/oTe1t9urwmSG929itfz3Yq/XLs1Vfm6/8rASrQwUAABaacbHJMIxU0zTHgxkMAAAA\nFgZPZoL+4GtL9I3tpTrYNqi9LV4daBvUgbZBVeSnaGetR9UVGXI5nVaHCgAAQuyJxSbDMFZJ+omk\neMMwNkraJ+lV0zSbgxwbAAAAbC4+JlJfW1egXWvy1d7tH2J35sK4zl26qtTEaNVVu/VyfYXVYQIA\ngBCayZ1N/0nSy5J+bJrmJcMw/kdJ/6+ktUGNDAAAAAuG0+nQqvIMrSrP0ODYLTU0e9V0ekjvHejR\nB4cvaO3SLO2szVdhTqLVoQIAgCCbyX3NcaZpdjz8xTTNPZKigxcSAAAAFrLc9Hh9d5ehH76+Sd/Z\nWa6MlFg1nRrS//6jT/Uf/rFZxzuHNTE5ZXWYAAAgSGZyZ9PY9FA6SZJhGL8n6UrwQgIAAEA4iIuJ\n0FOr8/Xtp5eq8XifGpq9OtUzpvP915SSEKXt1W5tW+VWcnyU1aECAIAAmkmx6XVJfy9puWEY1yR1\nSfq9oEYFAACAsOF0OrSyNF0rS9M1fOW2Glq8ajo1qJ8f7NWHhy9ozZIs1dfmqyQvyepQAQBAADyx\n2GSa5nlJmwzDiJfkMk3zevDDAgAAQDjKTovT7+6s0EtbSnT49JD2tnh15MywjpwZVnFuknau9mjN\nkixFuFjFDgCAhepLi02GYTQ+9qtPkmN6uyT5TNPcEdzQAAAAEK5ioyNUX+vRjhq3Oi6Mq6HZq7bz\nl/W3H3Tonb3ntX1VnratciszkwnFAQBYaL7qzqbvT//8t5KuS3pb0qSk35WUGuS4AAAAsAg4HA4t\nL07T8uI0jVy9o8YWrw62DeoXTRf00ZE+bVqZp82VOSp1J8nhcFgdLgAAmIEvLTaZpnlCkgzDWG6a\n5urH/vS/GIbRHPTIAAAAsKhkpcTqWzvK9eLmEh05M6SGZq8OtPbrQGu/CrMTVV/r0bplWYqMcFkd\nKgAA+AozmSA82jCMZaZpdkiSYRjVkniHBwAAQFBER7mmV6rL09D1e/pZQ5dOdo3qv/2yU//SeF7b\nVuWprtqttKQYq0MFAABfYCbFpv9Z0h7DMAbln7cpS9K3ghoVAAAAFj2Hw6GVZZnKTY7R5Wt31Hiy\nXwdaB/TRkT59fPSiaioytHN1vso9yQyxAwDARmayGt0nhmEUSVoh/0Th7aZpTgQ7MAAAAOChjORY\nvbK9TC9sKtbRjmE1NHt1whzVCXNU+VkJqq/1aP2ybEVFcgM+AABWe2KxyTCMv9Njq9FJ8hmGIdM0\n/01QIwMAAAA+JyrSpa1VedqyMldd3mva0+xVizmqH318Vu82ntfWqjx9c6ch7nMCAMA6MxlGt1/+\nYpMkRUn6uqSzQYsIAAAAeAKHw6GK/BRV5KfoyvW7ajzZr/2tA/r42EX9+vhFVZVlaGetR0sKUxli\nBwBAiM1kGN2PHv/dMIz/KulwsAICAAAAZiMtKUbf2Faqr28q0vHOEe1vG9DJrss62XVZ7ox41dd6\ntGF5jqKjGGIHAEAozOTOps9bJikn0IEAAAAA8xEZ4dKmFbl6oa5cR9v6/fM6nR3RP/za1E/3dWvz\nylztqPUoKyXW6lABAAhrM5mzaepzmy5L+ovghAMAAADMj8PhUJk7WWXuZL1aV6b9rf3a1zqg3Z9e\n0iefXtLK0nTtXJ2vZUUMsQMAIBhmMozO+flthmFEByccyTCMeknfkhQn6f80TbM9WOcCAABAeEtN\njNaLW0r03IYinTBH1NDsVVv3mNq6x5SbHqcdNR59fXuZ1WECABBWfquQ9HmGYRz53O8uSSeCFpEU\na5rmn0j6vyTtCuJ5AAAAsEhERji1YXmO3viD1frLP1ytDctzNDJ+Rz/+5Jy+91e79U97zmn4ym2r\nwwQAICx86Z1NhmE0Sto2/fzxoXSTkv41WAGZpvmhYRjxkv6dpD8P1nkAAACwOBXnJumPn1+mV3f4\nh9gdaBvQnhNe7Tnh1YqSdNXXelRZkiYnQ+wAAJiTLy02maZZJ0mGYfxH0zT/bD4nMQxjnaS/MU2z\nzjAMp6S3JK2UdE/SH5mm2W0Yxl9JKpP0Z5L+RtL/aprm5fmcFwAAAPgyyfFR+vqmYv3h85X6dVOP\n9pzw6lTPmE71jCk7NVY7aj3avCJXsdFzWVMHAIDF66vubPod0zQ/lNRiGMYffP7vpmn+w0xOYBjG\nn0v6rqSb05telBRlmubG6SLUDyW9aJrmX07v//eSMiT9tWEYPzdN82ezekUAAADALES4nFq7NFtr\nl2arb+iG9jRf0rGOEf3zni69d6BHmypzVF/rUWZmotWhAgCwIHzVf9OskfShpDpJvse2O6Z/n1Gx\nSdJ5SS9L+sfp3zdL+pUkmaZ5zDCM1Y/vbJrmH86wXQAAACCgCnMS9dpzy/RKXZkOtg1ob0v/o0d1\nRaa2rMzVytJ0htgBAPAVHD6f78l7zZNhGEWS/tk0zQ2GYfytpJ+Zpvmr6b/1SSo2TXPqq9r4CsF/\nAQAAAFiUJiendPT0kD441KMzPWOSpNz0eD27qVg71xYoITbS4ggBwJ5ee3O3JOntN1j3awGb8/+s\nPHEAumEYX5P0pqS0x07kM02zZI7nvC7p8XuQnfMoNEmSRkdvzOfwsJKZmWjb/gh1bME4X6DanE87\nczl2NscEa99wZ+e+CIfcC1S7ds692exv5+st1OzcF+ReYNqwQ+5V5CXq379apZsPpvTuJ6aOdgzr\n7V+c1n//uFMbpofYuTPiZxXjQkfuBf98C/FzJ+97wWf3vng8vslJ/30hwYyX73xzO2Y2uTdXM5nt\n8D9J+p8knVFg7iJqkvS8pHcNw1gvqT0AbQIAAABBVZyXrO89u1Sv1JXpQNuAGlu82neyX/tO9mtp\nYap21npUVZYhp5MhdgCAxW0mxabR6YnC5+thoep9SU8ZhtE0/fv3AtA2AAAAEBIJsZF6dn2hnl6b\nr9auMTU0X1Jn37g6+8aVkRyjHTUebanKVXwMQ+wAAIvTE+dsMgzj/5AUKf+k3ncfbjdN80BwQ5sx\n5mwCAACApS4MXteHh3rU2OzV/QeTiop0qa7Wo+c3l6gwN8nq8AAg5JizKSwEb84mSevkL+hUf257\n3VxPGmh2HrMaanYewxsO4+cZvzv/WMKVnfsiHHIvUO3aOfdms7+dr7dQs3NfkHuBaWOh5F58hEPf\n2l6q59YV6FD7oPa2ePXro3369dE+LSlIUX2tR6vKM+RyOmccl52Re8E/30L83Mn7XvDZvS+Ysykw\n7djlO19Q52wyTXP7nFsHAAAAFpGE2Eh9bV2Bdq3JV1v3ZTU0e9VxYVxnL15VelK06mo82lqVxyp2\nAICwNpPV6Brlv7Pp4e1TU5LuSOqU9B9M0xwPXngAAADAwuN0OlRdnqnq8kz1X76lvc1eNZ0e1E/3\ndetfD/Vq/bJs1dd6VJA99/81BgDArmYyjK5T0n1J/03+gtPvSvJIGpT0tqSXgxYdAAAAsMC5M+L1\n+08b+sa2Eh1qH1RDi1cH2wd1sH1QFZ5k7Vydr+qK8BliBwDATCYIbzFNs+Zz206YprnaMIyTpml+\nfi6nUGOCcAAAACwYU1M+NZ8d1gcHe3Ty3KgkKSM5Rs9uKtaudYVKToi2OEIAmD8mCA8LQZ0gPMIw\njErTNE9LkmEYlZKchmHESYqa64kDyc4TpIWanSeMC4fJGpksbv6xhCs790U45F6g2rVz7s1mfztf\nb6Fm574g9wLTRrjmXlFmvP7tyys0OHZLDc1eNZ0e0j/8slP/9GtT65ZlaWdtvgpz7DvEjtwL/vkW\n4ufOhZB7C53d+4IJwgPTjl2+8wV1gnBJ/07SLw3DGJHklJQq6buS/jdJ/zDnMwMAAACLXG56vL67\ny9DLW0vVdHrQX3g6NaSmU0Mq8yRrZ61HNRWZinAxxA4AsHDMZDW6fYZhlEhaIWlSUqdpmg8Mwzhs\nmiZD2AAAAIB5iouJ0FOr81Vf69HpnitqaPbqVM+YznuvKTUxWtur3dpWlaekeFsMLAAA4CvNZDW6\nJZJelxQv/51NLsMwikzT3Brs4AAAAIDFxOlwaGVpulaWpmvoyu3pO50G9f6BHn3Q1Kt1S7NVv9qj\nopwkq0MFAOBLzWQY3TuSfi5ps6QfSXpW0sdBjAkAAABY9HLS4vR7T1Xo5a0lOnx6SHum53ZqOj2k\nMney6ms9qjUYYgcAsJ+ZrEZ3yjTNFYZh/LWkjyR9KunXpmluD0F8M8FQPgAAAIS9qSmfTp4b0YeH\nenWic1iSlJYUo2c2Funp9YVKTYyxOEIA+Ayr0YWFoK5Gd8swjGhJ5yTVmqZ5yDCMjLmeMBjsPBt/\nqNl5dYJwWBmElQnmH0u4snNfhEPuBapdO+febPa38/UWanbuC3IvMG2Qe7+pID1Or7+wXMNbitXQ\n4tWh9kH9+Fdn9c4nptYsydbO1R4V5wZ/iJ0d+uLLkHuBa4fV6OzH7n3BanSBaccu3/mCvRrdf5f0\ngaTfk3TEMIxnJA3M+YwAAAAA5iU7LU6/u7NCL23xD7FraPbqyJkhHTkzpNK8JNWv9mi1kcUQOwCA\nJb602GQYxh/KP0TthvzFpmfln7PplqT7oQgOAAAAwJeLjY5Qfa1HdTVudVy4oj0nvDrVPabuX3To\nnfjzqqt2a9uqPCUnRFsdKgBgEfmqO5v+TtKopE8kPQhNOAAAAABmy+lwqLI4XZXF6Roev629zf06\ndGpAPz/Uqw8OX9DapVmqr81XSR6r2AEAgu+rik01kr4l6SlJ7fKvSrfHNM3JUAQGAAAAYPayU+P0\nnZ3lemlrsY5Mr2J35MywjpwZVkleknbWerR6CUPsAADB88TV6CTJMIw18hee6uRfje4d0zQbgxzb\nTLEaHQAAAPAlfD6f2rpG9cHBXn3aOSSfT0pNjNYzG4r0tQ1FSk1iFTsAgcdqdGFhzqvRzajYJEmG\nYTgkbZH0N5KqTNOMn+tJA8xn59n4Q83OqxOEw8ogrEww/1jClZ37IhxyL1Dt2jn3ZrO/na+3ULNz\nX5B7gWmD3AuskfHb2tvSr4Ptg7pzb0Iup2NOQ+zs3BfkXuDaYTU6+7F7Xzwe3/ffOixJ+sHrG0Ny\nPru1aef3vlnk3pyLTV+5Gp1hGE5JWyV9U9Izktok/T+SPpzrCQEAAABYIys1Tt+uL9eLWxhiBwAI\nnq9aje7/k/S0pJOS/kXSX5imeTNUgQEAAAAIjpioCNXVeLS92q2OvnE1nPCq7fxl/ZeBDr2z97y2\nV7u1nVXsAABz9FV3Nv2JpDFJ1dOPvzYM4+HffKZplgQ5NgAAAABB5HA4tLwoTcuL0n5jiN2/HurV\nh4cvaM3SLO1kFTsAwCx9VbGJYhIAAACwSHzRELujZ4Z1dHqIXX2tR2sYYgcAmIEvLTaZpnkhhHEA\nAAAAsIEvG2L3twMd+pfpIXbfqK+wOkwA/z979xlnV3mfC/veo1HvZdS7hLYaAnU6iCIbF8DG2Imd\nOO7BfpPjvDnHdk4OiU8SkjhxnHYSx06Ck7jE3QYb25heBQgV1NlCvaMGiCqQNO8HcA72i21mtGfW\nnj3X9YXfwFrPvudh/zWa+7fW2lDDfuEDwgEAgM7pp26xe+K53L5813/dYveD+7dl3lS32AHw6krN\nzc1FZzhZHf4bAACAjuC5o8dyx/KdufHeLdn52EufHVQeNzBvPmdizpo1Ml0b3WIHvOT9196cJLnu\nmsUFJ+EklFp9Yj2UTQcOPFV0hprR1NQ3tbof7Z2tLV6vWmuezDqtObcl57TVsfWulveiHmavWuvW\n8uy15Phafr+1t1reC7NXnTXMXm0aMqRP7lq2479usWtO0r9Ptyw6fVTOnz0q/Xt3Kyyb2aveOm01\nSy093uz9X7W+F6/M97HPLkmSfPojZ7XL69XamrX8s68Fs9fqssltdAAAQIu8+qfY7cn1927Njfdv\ny4Jpw3LxvNEZP9wtdgCdkbIJAABotVd+it2Stfty67JdWbJ2X5as3ZfJo/rn4nmjM2dKk0+xA+hE\nlE0AAMBJ69GtMRf+5FPsth3Orct2ZfXmQ9m0+8kM6NMti+aMzvmnj0y/XsXdYgdA+1A2AQAAVdNQ\nKmXmhMGZOWFwHjv8bG5bsSv3rt6b7969Jd+/b1sWTn/pU+zGDe9bdFQA2oiyCQAAaBPDBvXKOy+e\nkrecO/GlW+yW78p9a/blvjX7csro/rl43pjMPmWIW+wA6oyyCQAAaFM9uzfmormjs2jOqKzb+tIt\ndmu2HMqju57MwL7dc+GcUTnvtJHp6xY7gLqgbAIAANpFQ6mUUycOzqkTB2ff4Wdz2/JduXfN3nz7\nri254d5tOWPGsFw8d3TGDnOLHUBHVmpubi46w8nq8N8AAAB0Vs8+/2JuXbojN963NXsPPpMkmTlp\ncCkHqpkAACAASURBVC47d2IWzBiRLg2lghMCrfH+a29Oklx3zeKCk3ASWv0HcF1c2XTgwFNFR6gZ\nTU19a3Y/2jtbW7xetdY8mXVac25LzmmrY+tdLe9FPcxetdat5dlryfG1/H5rb7W8F2avOmuYvdpU\n7b04c9rQLJzalDWbD+XW5buydvOhrN18KIP79ciFc1+6xa53j66FZCvq9Tri3zvNXtur9b14Zb7j\nx1+6LqQt8/qdr3XntGT2WqsuyiYAAKBjayiVctrkITlt8pDsPvhMblu+K0vW7s0379icG+7dmrNm\nDM9F88Zk1JDeRUcF4JdQNgEAADVl1JDeeffryrny/Im5Z9Xe3LZ8V+58eE/ufHhPpo8fmIvnjcms\nSYPTUHKLHUAtUjYBAAA1qXePrnn9wrFZPH9MVj56MLct35n12x7P+m2PZ+iAnrlo7uicM2tEenb3\naw1ALfGnMgAAUNMaGkqZW27K3HJTdjz2VG5bviv3r3ssX73t0Xznni0559QRuWju6Awf1KvoqABE\n2QQAAHQgY4f1zXvfMC1vu2BS7l61J7ev2J3blu/Kbct3ZdakwbnywikZNaiHW+wACqRsAgAAOpy+\nvbrljWeOz+sWjM2KjQdy67JdWb35UFZvvj8jBvfKRXNH56yZw9Ojm195ANqbP3kBAIAOq7FLQxZM\nG5YF04Zl694juXftvty9cne+fPPGfPuuLTnvtBG5aM7oDBnQs+ioAJ2GsgkAAKgLE0b0y4JZo3LZ\nmeNyx8rduXPl7vx46c7c/NDOzDmlKRfPG50pYwak5BY7gDalbAIAAOpK/z7dc8W5E/PGM8dn6YbH\ncuuyXVm+8UCWbzyQsUP75OJ5Y7Jw+tB0bexSdFSAuqRsAgAA6lLXxoacfeqInDVzeB7d9WRuWbYz\nKzYeyBd+uCHfunNTLpg9Kotmj0r/Pt2LjgpQV0rNzc1FZzhZHf4bAAAA2sf+w8/mB/dtzY8f3J5n\nnnsxjV1KOef0Ubn83EmZPGZA0fGgbrz/2puTJNdds7jgJJyEVt9zXBdl04EDTxWdoWY0NfVNre5H\ne2dri9er1pons05rzm3JOW11bL2r5b2oh9mr1rq1PHstOb6W32/trZb3wuxVZw2zV5tqeS9ea7aj\nLxzPkrV7c+vyXdl76NkkyeTR/XPJvDGZM2VIujQ0VPX1Wqoj/r3T7LW9Wt+LV+b72GeXJEk+/ZGz\n2uX1am3NWv7Z14LZa3XZ5DY6AACg0+nerUsWzRmd82ePyvqth3PLsl1Zs+VQNu16MoP6dc9Fc0bn\n3NNGpk/PrkVHBehwlE0AAECn1VAqZebEwZk5cXD2Hnomty7flSVr9uWbd27ODfduzVkzh+eieWMy\nakjvoqMCdBjKJgAAgCQjBvfOry8u58rzJubuVXtz+4pdufPhPbnz4T2ZMWFQLpk3OjMnDk5DqdV3\nlgB0CsomAACAV+jVo2tev3BsFs8fk5WPHsyty3Zm3dbDWbf1cIYP6pVL5o3OWTNHpHu3LkVHBahJ\nyiYAAIBX0dBQytxyU+aWm7Ljsadyy7KdeXD9Y/nSzRvznbu35LzTR+aqi6cWHROg5iibAAAAfomx\nw/rm/W+cnredPyl3rNydO1buzo8e2JEfL92ZeeWmXDJ/TCaN7F90TICaoGwCAAB4jfr36Z4rzp2Y\nN545Lg+sfyx3rNyTpRv2Z+mG/Zk0ql8umTcmc8tN6dLQUHRUgMIomwAAAFqoa2OXnDtrZN5y4ZTc\ns2xHblm2K6s2Hczndq/LoH7dc9Hc0TnvtJHp3aNr0VEB2p2yCQAAoJVKpVKmjR+UaeMH5bHDz+aW\nZTtz75q9+eYdm/O9e7fl7FOH5+J5YzJ8UK+iowK0G2UTAABAFQwb1Cu/trict5w3MXev2pPblu/K\n7St25/YVu3PapMG5ZP6YTBs3MKVSqeioAG1K2QQAAFBFvXt0zaULx2Xx/DFZsfFgbn5oR1ZtPpRV\nmw9ldFPvXDJvTM6YMSxdG7sUHRWgTSibAAAA2kCXhobMnzo086cOzeY9T+aWh3Zm2SMH8m8/eiTf\numtzFs0elUWzR6V/n+5FRwWoKmUTAABAG5s0sn8mXd4/hxc9n9tX7M5dD+/O9+7blh8+sD1nTB+e\nxfPHZPTQPkXHBKgKZRMAAEA7GdSvR952waS8+azxWbJ2b25etiv3rtmbe9fszYzxA/O6BWMzY8Kg\nomMCnJRSc3Nz0RlOVof/BgAAgM7pxInmLNvwWK6/a3PWbD6YJBk7vG8uP29SLpgzOt26eq4THdP7\nr705SXLdNYsLTsJJaPWnGdRF2XTgwFNFZ6gZTU19U6v70d7Z2uL1qrXmyazTmnNbck5bHVvvankv\n6mH2qrVuLc9eS46v5fdbe6vlvTB71VnD7NWmWt6Ljjx72/Ydyc0P7cxDG/bn+Inm9OvVNRfOGZ0L\n5oxKv17d2j1fW81SS4+v5fdbe6v1vXhlvo99dkmS5NMfOatdXq/W1qzln30tmL1Wl01uowMAAKgB\n44f3y4fePCNvO39S7t+wPz9asi3X37s1N96/PWfNfOm5TiOH9C46JsAvpWwCAACoIYP69ch73jQj\nF80emfvW7MvND+3I3av25O5VezJr0uAsnj8m08YNTKnU6osOANqUsgkAAKAG9ejWmIvmjs6i2aOy\n8tGDufmhHVm9+VBWbz6U0U198roFY7Jg2rB0bWwoOirAT1E2AQAA1LCGhlLmlpsyt9yULXuO5OaH\ndmTZIwdy3Q825Ft3bc5Fc0bngtmj0qdn16KjAiRRNgEAAHQYE0f2y9WXz8zBC57Lbct35e5Ve/Kd\nu7fkxiXbcvapI3LJ/DEZPqhX0TGBTk7ZBAAA0MEM6d8z77jwlFx29oTcs3pvbnloZ+5YuTt3rtyd\n008ZkksXjsvk0f2Ljgl0UsomAACADqpn98Ysnj8mF80dlRUbD+amB3dk5aMHs/LRg5k8qn/efkk5\nE4f1ToOHiQPtSNkEAADQwXVpaMj8qUMzr9yUjTufyE0P7siqzYfyZ/++NMMG9crrFozJ2TOHp2tj\nl6KjAp2AsgkAAKBOlEqllMcOTHnswOw++EzuXr03ty/bmS/eVMn1d2/JRfPGZJGHiQNtTNkEAABQ\nh0YN6Z3/9o7Zef38Mbl1+c7cuXJPvnv3lvzw/u05d9aILJ4/JkMG9Cw6JlCHlE0AAAB1bGDf7rnq\ngsl505njc/eqPbll2c7cunxXbl+xO/OmNuXSheMybnjfomMCdUTZBAAA0An07N6Y1y0Ym4vmjs5D\nG/bnRw/uyNIN+7N0w/5MGzcwr184NjMnDErJw8SBk6RsAgAA6EQauzTkzJnDc8aMYVm37XBuenBH\n1m97PBu2P57RTb3zugVjs3D6sKJjAh2YsgkAAKATKpVKmTlhcGZOGJzt+57Kj5e+dKXTdT/YkO/c\nvSVXnD85804ZnJ7d/doItIw/NQAAADq5ccP75kOXzchbz5+Ymx/amXtW7c2/3bguX+veJRfMHpXF\n88emf+9uRccEOghlEwAAAEmSIf175p0XT8nl50zI0srB3HD35vzogR25ddmunDtrRF6/YKxPsAN+\nKWUTAAAAP6V3j655+8VTcvb0oblvzd786MEduX3F7ty5ck/OmDEsbzhjXEYO6V10TKBGKZsAAAB4\nVd26dsmiOaNz7mkj89CG/fnBA9uzZO2+3L92X2ZPacobzxyXCSP6FR0TqDHKJgAAAH6hn3yC3cIZ\nw7Lq0YO58f7tWbHxQFZsPJAZ4wfmDWeOz5AhfYqOCdQIZRMAAACvSUOplNlTmnL6KUOyYfvj+cH9\n27Nu2+NZt+3xfG/JtiyeNzqnTR6ShlKp6KhAgZRNAAAAtEipVMr08YMyffygbNlzJD+4f1tWPnow\nle2PZ1RT77zxjHGZP21oujQ0FB0VKEDNlU3lcnlukt9KUkry8Uqlsr/gSAAAAPwcE0f2y29fOSvP\nHm/OV364Pg+u359//v76fPeeLbl04bicferwdG3sUnRMoB3VYs3cPcnvJPlBkjMLzgIAAMBrMG54\nv3zwzTPy5795RhbNHpXHn3ohX/xxJR//3P256cEdee7osaIjAu2k5sqmSqWyJMn0JP8jycMFxwEA\nAKAFmgb0zK+/rpy//PCZuXTh2Dz/wvF8445N+fg/Lcn192zJ08+9WHREoI21y2105XJ5YZJPVSqV\nReVyuSHJZ5PMSnI0yQcqlcrmcrn8x0lOSfLXSZYluTTJJ5N8tD0yAgAAUD0D+nTPVYsm5w1njstt\ny3fl1mW78r37tuXHD+3MxXNH552XTi86ItBG2rxsKpfLH0/ya0mefvlfXZGkW6VSOevlEuozSa6o\nVCp/+PLxi5J8IckLST7f1vkAAABoO717dM1lZ0/I6+aPzV2r9uRHD2zPD+7fnttX7M5Fc0dl8fyx\n6dOza9ExgSpqjyubNiV5a5Ivvfz1OUluSpJKpfJguVye98qDK5XKHUnuaIdcAAAAtJPu3bpk8fwx\nueD0kbnz4T25aemO3Lhke25bvisXzx2TxQvGpHcPpRPUg1Jzc3Obv0i5XB6f5KuVSuXMcrn8L0m+\nXalUbnr5v21PMqFSqZxo5fJt/w0AAABQVc+/cCw33b8t3759U554+mh692jMZedNymXnTXKlUx14\n/7U3J0muu2ZxwUk4CaXWntguz2z6GUeS9H3F1w0nUTQlSQ4ceOrkEtWRpqa+Nbsf7Z2tLV6vWmue\nzDqtObcl57TVsfWulveiHmavWuvW8uy15Phafr+1t1reC7NXnTXMXm2q5b0we9Vbp61m6ZXHnz19\nWOZNHpI7Vu7Ojx7cnq/eXMkNd23O4vljcvG8MenVo7Gm32/trdb34pX5jh9/6bqQtszrd77WndOS\nn3utVcSn0d2X5A1JUi6Xz0iyuoAMAAAA1IDu3brk9QvH5i+uPjNXXTApDQ2lXH/v1nzic0vy/fu2\n5tnnfXoddDTteWXTT253+26SS8rl8n0vf/3edswAAABADerRrTGXnjEuF8weldtX7MpND+7Id+/Z\nmluX78ol88bkormj07N7ETfnAC3VLs9samMd/hsAAADgpz37/Iv5/r1bcv2dm/P0cy+mb69uecsF\nk/KmcyYqnToAz2yqC61+ZlNdlE21fM9qe6vle3jr4f559++efJZ6Vct7UQ+zV611a3n2WnJ8Lb/f\n2lst74XZq84aZq821fJemL3qrdMez2x6Lcf36tMjX/vxhty8dGeePXosfXp2zaULx+bCOaPTvVuX\n1/x69aCWZy/56Xwf++ySJMmnP3JWu7xera1Zyz/7WvBzr9VlUxHPbAIAAIDXpHfPrrns7An5yw+f\nmcvPmZDjJ5rzzTs35+OfW5KbHtyRoy8eLzoi8DOUTQAAANS8Xj265vJzJuTTHz4zl509PseOn8g3\n7tiUT/zTkty2fFeOHT+pDzkHqkjZBAAAQIfRq0fXXHHuxPzF1WflTWeNz9FjJ/KVWzbmD/71wazY\neCB18KgY6PDq4plNRQcAAACgGE88dTRfvfmR3PTA9pw40ZzpEwblfW+ekfK4QUVH69Q8ILwueEA4\nL6nlB8bVw8MaPSzu5LPUq1rei3qYvWqtW8uz15Lja/n91t5qeS/MXnXWMHu1qZb3wuxVb51aeUD4\naz1u76Fn8q07N2floweTJAumDc2V509K04CerzlTravl2Us8ILxa69TK73wn84BwnxcJAABAhzdi\ncO/89pWzUtnxeL5++6Ys3bA/KzYeyEVzR+dNZ41P7x5di44InYZnNgEAAFA3ymMH5prfmJcPXTY9\n/Xt3z4+X7szvfe7+3PzQTg8Rh3aibAIAAKCuNJRKOWP68PzZhxbmqkWTcqI5+dptj+Z//csDeeiR\n/R4iDm3MbXQAAADUpa6NXXLpwnE559QR+f5923LHyt35p+vXZtKofnnHolMyeXT/oiNCXaqLB4QX\nHQAAAIDat+fA0/mPH67PktV7kyRnzRqR33jj9Iwc0qfgZPXHp9HVhc79gPBafhp/e6vlTyeoh08G\n8ckEJ5+lXtXyXtTD7FVr3VqevZYcX8vvt/ZWy3th9qqzhtmrTbW8F2aveut0tE+jey26JvnAG6bl\n/Fkj8o3bN2XJ6r15cO2+LJozKpedPSF9etb2Q8RrefaSn853/PhL14W0ZV6/87XunJbMXmt5ZhMA\nAACdyimjB+T3f31uPnzFzAzq1z23LtuVT3zu/vzowe158djxouNBh1cXVzYBAABAS5RKpcyfOjSn\nTx6SO1bsyveXbMs379ic25fvztsumJQF04amVGr1XUTQqbmyCQAAgE6ra2NDFi8Ym09dfWZet2BM\nnnzmaD7/vXX522+uzsEnnys6HnRIyiYAAAA6vd49uuYdF56Saz94RmaMH5g1Ww7lD/51aW5dtjMn\nTvhcKmgJn0YHAAAAr9Dc3Jzbl+3Mv96wNk8/92KmjhuY33776Rk7vF/R0ToMn0ZXF1p9H2ldlE21\n/DT+9lbLn05QD58M4pMJTj5LvarlvaiH2avWurU8ey05vpbfb+2tlvfC7FVnDbNXm2p5L8xe9dap\nx0+ja6knn3kh/3nLxjz0yP40dinlTWeOzxvOHJfGLsXcJFTLs5f8dL6PfXZJkuTTHzmrXV6v1tas\n5Z99LZi9VpdNbqMDAACAV9G/d7d8+IqZ+e0rT02fnl1z/b1b80f//lA273my6GhQ05RNAAAA8AvM\nPqUp137gjFxw+sjsPvBM/uyLy/PVWx/N0ReOFx0NapKyCQAAAH6JXj0a8+7XT80n3jk7Qwf2zC3L\nduYPrnswa7ceKjoa1BxlEwAAALxG5bED80fvW5A3njkuh48czV9/fVWuu3F9nn7uxaKjQc1oLDoA\nAAAAdCTdunbJledPyvypQ/NvP3wk963dlzVbDuWdl0zJ/KlDUyq1+rnKUBdc2QQAAACtMHZY31zz\nG3Nz1aJJee6F4/ncDevyf769JoePPF90NChUqbm5uegMJ6vDfwMAAAB0bHsOPp1//OaqrN50ML16\nNOY9b5ye150xPg0NnfMqp/dfe3OS5LprFhechJPQ6jdvXZRNBw48VXSGmtHU1De1uh/tna0tXq9a\na57MOq05tyXntNWx9a6W96IeZq9a69by7LXk+Fp+v7W3Wt4Ls1edNcxebarlvTB71VunrWappcfX\n8vvtZzU3N+ee1Xvz9ds35bmjxzJlzIC859KpGT6oV1XWr/W9eGW+j312SZLk0x85q11er9bWrOWf\nfS2YvVaXTW6jAwAAgCoolUo577SRufYDCzNnSlM27nwif3jd0vzg/m05dvxE0fGg3SibAAAAoIoG\n9u2e33rrqfnIFTPTu0djvn3Xlvz11x/2iXV0GsomAAAAaAPzpg7NtR986SqnR3Y8kWv/Y1n2HHym\n6FjQ5pRNAAAA0EZ69+iaj7xlZt501rjsf+K5/OmXlmXNlkNFx4I2pWwCAACANtRQKuWt503Kh948\nPS8ea87ffnNVbnloZ+rgA7vgVSmbAAAAoB2cMWN4PvGu2enXq1u+etuj+Y+bHvHgcOqSsgkAAADa\nyaSR/fMHvzEvY4f1yd2r9uYzX3s4Tz37QtGxoKpKdXDZXof/BgAAAOhcnj96LH/ztRVZsnpvhg/u\nlT9438KMHd6v6FhV8/5rb06SXHfN4oKTcBJKrT2xsZopinLgwFNFR6gZTU19a3Y/2jtbW7xetdY8\nmXVac25LzmmrY+tdLe9FPcxetdat5dlryfG1/H5rb7W8F2avOmuYvdpUy3th9qq3TlvNUkuPr+X3\n28l636VTM7hP93x/ybb897+7O1dfPiOzJg35ucfX+l68Mt/x4y9dF9KWef3O17pzWjJ7reU2OgAA\nAChAQ6mUt5w3Mb952YwcP9Gcv/vW6vx46Q4PDqfDUzYBAABAgRZOH5ZPvHNO+vXulq/fvin/9iMP\nDqdjUzYBAABAwSaO7Jc//I35GTe8b+5dvTd/9dWVOeLB4XRQyiYAAACoAQP7ds/vvWtO5k0dmo27\nnsy1/7Esuw48XXQsaDFlEwAAANSI7l275OrLZ+Sys8fn4JPP50+/tDyrNh0sOha0iLIJAAAAakhD\nqZQrzp2Yqy+fkRMnmvP331qdmx704HA6jsaiAwAAAAD/fwumDUvTgJ75P99enW/csSmHn34hV50/\nMV0bXTdCbfMOBQAAgBo1YUS//MFvzM/44X1z60M78ldf8+Bwap+yCQAAAGrYwL7d84l3zcm5p4/K\no7uezJ/8+7Ls2u/B4dQuZRMAAADUuO5du+RjvzY3V5w7IYeOPJ9PfWVFDjzxXNGx4FWV6uABYx3+\nGwAAAIDX6qb7t+Ufv7UqU8YOyKf+n3Nr8hlO77/25iTJddcsLjgJJ6HU2hPr4gHhBw48VXSEmtHU\n1Ldm96O9s7XF61VrzZNZpzXntuSctjq23tXyXtTD7FVr3VqevZYcX8vvt/ZWy3th9qqzhtmrTbW8\nF2aveuu01Sy19Phafr+1t5/sxZxJg3LmjOG5f92+fP7bD+cdF55SdLQkP/3/6vjxl64Lacv/d37n\na905LZm91qq9+hMAAAD4uUqlUn79dVMybFCv/Hjpzjy86WDRkeCnKJsAAACgg+nRrTEfvnxGGrs0\n5Lob1+fwkeeLjgT/RdkEAAAAHdDYYX3zqxefkmeeP5bPf29djp84UXQkSKJsAgAAgA7rgtNHZt7U\noXl015O5/p6tRceBJMomAAAA6LBKpVLe8/qpaRrQIz+8f3vWbj1UdCRQNgEAAEBH1qtHY66+fGYa\nGkr51++vzxNPHy06Ep2csgkAAAA6uAkj+uXtiybnyLMv5l++vz4nTjQXHYlOTNkEAAAAdeDieaNz\n+uQh2bD98dx4/7ai49CJKZsAAACgDpRKpbzvjdMyqF/33HDv1lR2PF50JDopZRMAAADUiT49u+bq\ny2amlFI+/711OfLsC0VHohNSNgEAAEAdmTy6f648f2KeePqF/OuN63Oi2fObaF/KJgAAAKgzr1s4\nNjMnDsraLYfz4wd3FB2HTkbZBAAAAHWmoVTKB940PQP6dMu379qSTbueLDoSnYiyCQAAAOpQv17d\n8puXzUhzmvP5763N08+9WHQkOgllEwAAANSp8tiBufzsCTl05Gi+8IMNafb8JtpBqQ7eaB3+GwAA\nAIC2cvxEc/7w80uyetPBfPDymbnsvElt/prvv/bmJMl11yxu89eizZRae2JjNVMU5cCBp4qOUDOa\nmvrW7H60d7a2eL1qrXky67Tm3Jac01bH1rta3ot6mL1qrVvLs9eS42v5/dbeankvzF511jB7tamW\n98LsVW+dtpqllh5fy++39nYye/Ge15fzv7/wZL7w/XUZPqBHJozoV+V0P53v+PGXrgtpy/93fudr\n3Tktmb3WchsdAAAA1LkBfbrng2+ekRMnmvO5G9bm2eePFR2JOqZsAgAAgE5gxoRBecOZ43Lgiefz\nHzc94vlNtBllEwAAAHQSV5w7IZNH989Dj+zPXQ/vKToOdUrZBAAAAJ1El4aGXH3ZjPTu0Zj/vPXR\n7HjM87CoPmUTAAAAdCKD+vXI+984PceOn8g/3bAuz7/g+U1Ul7IJAAAAOpnTTxmSxfPH5LHDz+ZL\nP654fhNVpWwCAACATuhtF0zKhBH9cv+6x3Lfmn1Fx6GOKJsAAACgE2rs0pCrL5+Rnt0b8+VbKtl3\n+NmiI1EnlE0AAADQSTUN6Jn3vWFqjh1rzvZ9HhZOdTQWHQAAAAAoztzy0Pz9RwelZ/cuRUehTiib\nAAAAoJPr1UM9QPW4jQ4AAACAqlE2AQAAAFA1yiYAAAAAqkbZBAAAAEDVKJsAAAAAqBplEwAAAABV\no2wCAAAAoGqUTQAAAABUjbIJAAAAgKqpybKpXC4PK5fLDxWdAwAAAICWqcmyKcnHkmwrOgQAAAAA\nLVNzZVO5XP5wki8neb7oLAAAAAC0TGN7vEi5XF6Y5FOVSmVRuVxuSPLZJLOSHE3ygUqlsrlcLv9x\nklOSDH35vy0ol8tXViqVb7dHRgAAAABOXpuXTeVy+eNJfi3J0y//qyuSdKtUKme9XEJ9JskVlUrl\nD3/mvC8qmgAAAAA6lva4jW5TkrcmKb389TlJbkqSSqXyYJJ5r3ZSpVJ5dztkAwAAAKCKSs3NzW3+\nIuVyeXySr1YqlTPL5fK/JPl2pVK56eX/tj3JhEqlcqLNgwAAAADQpop4QPiRJH1fmUHRBAAAAFAf\niiib7kvyhiQpl8tnJFldQAYAAAAA2kC7fBrdy35yv953k1xSLpfve/nr97ZjBgAAAADaULs8swkA\nAACAzqGI2+gAAAAAqFPKJgAAAACqRtkEAAAAQNW05wPC21W5XL4wya9WKpUPFp0FOoNyuXxWkg+9\n/OVHK5XKk0Xmgc7Gzz1of+Vy+aIk70jSK8lfVioVn7IM7aBcLs9N8ltJSkk+XqlU9hccCTqNcrk8\nLMmNlUpl/i86ri6vbCqXy5OSnJ6kR9FZoBP5YF4qm67LS3/xBtqJn3tQmJ6VSuVDSf4qyeKiw0An\n0j3J7yT5QZIzC84CnUa5XC4l+ViSbb/s2LosmyqVyuZKpfLXReeATqZLpVJ5IcneJCOKDgOdiZ97\nUIxKpXJjuVzuneS/Jfn3guNAp1GpVJYkmZ7kfyR5uOA40JlcneTLSZ7/ZQd2mNvoyuXywiSfqlQq\ni8rlckOSzyaZleRokg9UKpXN5XL5T5JMTvLhSqXyRIFxoa68lvlL8my5XO6WZGSSfcWlhfryGucP\nqLLX+HfPIUn+MskfViqVgwXGhbrxGmdvfpJlSS5N8skkHy0sMNSJ1/h3zotf/ncLyuXylZVK5ds/\nb70OcWVTuVz+eJJ/yUuXSybJFUm6VSqVs5L8XpLPJEmlUvmDSqXyq4omqJ7XOn9J/jnJ5/PS7XRf\nau+cUI9aMH9AFbVg9j6TZFiSPy+Xy1e2e1CoMy2YvT5JvpDk00m+0t45od60oHO5slKpfDjJwJxb\nfAAAIABJREFUg7+oaEo6zpVNm5K8Nf/3F9hzktyUJJVK5cFyuTzv1U6qVCq/3j7xoK69pvmrVCor\nkry3kIRQv1r088/PPaia1/qz7zeKiQd167XO3h1J7igkIdSnlv6d892/bMEOcWVTpVL5TpJjr/hX\nfZMcecXXx1++zAuoMvMHxTF/UAyzB8Uwe1CMtpi9jjqoR/LSN/8TDZVK5URRYaCTMX9QHPMHxTB7\nUAyzB8U46dnrqGXTfUnekCTlcvmMJKuLjQOdivmD4pg/KIbZg2KYPSjGSc9eR3lm0080v/zP7ya5\npFwu3/fy154TA23P/EFxzB8Uw+xBMcweFKNqs1dqbm7+5UcBAAAAwGvQUW+jAwAAAKAGKZsAAAAA\nqBplEwAAAABVo2wCAAAAoGqUTQAAAABUjbIJAAAAgKpRNgEAAABQNcomAAAAAKpG2QQAAABA1Sib\nAAAAAKgaZRMAAAAAVaNsAgAAAKBqlE0AAAAAVI2yCQAAAICqUTYBAAAAUDXKJgAAAACqRtkEAAAA\nQNUomwAAAACoGmUTAAAAAFWjbAIAAACgapRNAAAAAFSNsgkAAACAqlE2AQAAAFA1yiYAAAAAqkbZ\nBAAAAEDVKJsAAAAAqBplEwAAAABVo2wCAAAAoGqUTQAAAABUjbIJAAAAgKpRNgEAAABQNcomAAAA\nAKpG2QQAAABA1SibAAAAAKgaZRMAAAAAVaNsAgAAAKBqlE0AAAAAVI2yCQAAAICqUTYBAAAAUDXK\nJgAAAACqRtkEAAAAQNUomwAAAACoGmUTAAAAAFWjbAIAAACgapRNAAAAAFSNsgkAAACAqlE2AQAA\nAFA1yiYAAAAAqkbZBAAAAEDVKJsAAAAAqBplEwAAAABVo2wCAAAAoGqUTQAAAABUTWPRAV5NuVxu\nSPLZJLOSHE3ygUqlsrnYVAAAAAD8MrV6ZdMVSbpVKpWzkvxeks8UnAcAAACA16BWy6azk9yUJJVK\n5cEk84qNAwAAAMBrUatlU78kR17x9fGXb60DAAAAoIbV5DOb8lLR1PcVXzdUKpUTr3Zgc3Nzc6lU\nap9UAAAAwC/1/mtvTpJcd83igpNwElpdttRq2XRfkjcn+Wa5XD4jyeqfd2CpVMqBA0+1W7Ba19TU\nt2b3o72ztcXrVWvNk1mnNee25Jy2Orbe1fJe1MPsVWvdWp69lhxfy++39lbLe2H2qrOG2atNtbwX\nZq9667TVLLX0+Fp+v7W3Wt+LV+Y7frw5Sdo0r9/5WndOS2avtWq1bPpukkvK5fJ9L3/93iLDAAAA\nAPDa1GTZVKlUmpN8uOgcAAAAALSMh24DAAAAUDXKJgAAAACqRtkEAAAAQNUomwAAAACoGmUTAAAA\nAFWjbAIAAACgapRNAAAAAFSNsgkAAACAqlE2AQAAAFA1yiYAAAAAqkbZBAAAAEDVKJsAAAAAqBpl\nEwAAAABVo2wCAAAAoGqUTQAAAABUjbIJAAAAgKpRNgEAAABQNcomAAAAAKpG2QQAAABA1XT4sunH\nD2zLzv1Pp7m5uegoAAAAAJ1eY9EBTtY/fHNVkqR/726ZPn5QZk4clBnjB6Vf724FJwMAAADofDp8\n2fS775yT+1ftzrqth3P/un25f92+JMnYYX0yY8KgzBw/KJNHD0jXxg5/ERcAAABAzevwZdOiuWMy\nc+yAnGhuzq79T2fd1sNZu/VwHt31RHY89nR+9MCOdOvakKljB2bGy1c+DR/UK6VSqejoAAAAAHWn\nw5dNP9FQKmXssL4ZO6xvLj1jXI6+cDyVnU9k7dZDWbf1cFZvPpTVmw8ltyWD+nV/uXganGnjBqZP\nz65FxwcAAACoC3VTNv2s7t26ZNakwZk1aXCS5PCR57N26+Gs23o467cdzj2r9+ae1XtTSjJ+RL/M\nnDAoMyYMysSR/dLYxS13AAAAAK1Rt2XTzxrUr0fOO21kzjttZE6caM62fU9l3ctXPW3ecyRb9x7J\n95dsS8/uXXLqxMGZP3VoTp04ON26dik6OgAAAECH0WnKpldqaChl4sh+mTiyX9589oQ8d/RYHtn+\neNZuO5w1mw9l6Yb9Wbphf7p365LZk4dk/tShmTlxULo2Kp4AAAAAfpFOWTb9rJ7dGzN7SlNmT2lK\nc3Nzdjz2dJY+8lge2rA/D6x/LA+sfyw9u3fJ6ZObMn/a0MycMMitdgAAAACvQtn0M0qlUsYN75tx\nw/vmbedPyrZ9T+WhDfvz0COP5f51+3L/un3p1b0xs6cMyfypwzJ9/EDFEwAAAMDLlE2/QKlUyoQR\n/TJhRL9ctWhStuw98nLxtD/3rdmX+9bsS+8ejZkz5aUrnqaNG5guDYonAAAAoPNSNr1GpVIpk0b2\nz6SR/fP2Cydny+4jWbrhsTxU2f9fn2zXp2fXzC03Zf7UoSmPHaB4AgAAADodZVMrNJRKmTy6fyaP\n7p9fufiUbNr1ZJZueCzLKgdy18N7ctfDe9KvV9fMLQ/N/KlDM2XMgDQ0lIqODQAAANDmlE0nqaFU\nypQxAzJlzIC88+Ip2bjziSx9ZH+WV/bnjpW7c8fK3RnQp1vOnTUy558+MoP69Sg6MgAAAECbUTZV\nUUNDKVPHDczUcQPzrktOSWXHE1n68jOevr9kW35w//acfsqQLJo9KtPGD0xDydVOAAAAQH1RNrWR\nLg0NmT5+UKaPH5RfveiUPLjhsdy+YldWbDyQFRsPZNjAnrlg9qicfeqI9OnZtei4AAAAAFWhbGoH\n3bt1yXmnjcy5s0Zky94juXPF7jy4YX++fvumfOfuLVkwbWgunDM6E0b0KzoqAAAAwElRNrWjV36i\n3TsuOiX3rt6bO1fuzn1r9uW+NfsyfnjfLJo9KgumD0v3rl2KjgsAAADQYsqmgvTp2TWvXzg2ixeM\nyfqth3PHyt15eNPB/NuPHsnXb9+Us08dkUVzRmX4oF5FRwUAAAB4zZRNBWsolTJz4uDMnDg4h558\nPnet2pO7V+3JLct25pZlOzN9/MAsmj0qp58yJF0aGoqOCwAAAPALKZtqyOD+PfLW8ybmsrPHZ8XG\nA7ljxe6s3/Z41m97PAP7ds95p43MeaeNzMC+3YuOCgAAAPCqlE01qLFLQxZMG5YF04Zl94Gnc+fK\nPblv7d7ccO/WfP++bZk9ZUheN39sJo/uX3RUAAAAgJ+ibKpxo5r65F2Lp+TKCybmgfWP5Y4Vu7O8\nciDLKwcyY8KgXH7OhEwepXQCAAAAaoOyqYPo0a0xF5w+KuefNjIbdz6R7923Leu2Hs66rYcz8+XS\naZLSCQAAACiYsqmDKZVKKY8dmI+NHZiNO5/IDfduzdqth7N26+HMnDgo73nTjAzq1bXomAAAAEAn\npWzqwKaMGZCP/ersVHY8/lLptOVw/sff35NTJw7O5edMyMSR/YqOCAAAAHQyyqY6UB47MB9/58A8\nsv3x/HDpjqzZfChrthzKrEkvlU4TRiidAAAAgPahbKojU8cNzLnzxuaeZTty/b1bs3rzoazerHQC\nAAAA2o+yqQ5NHTcwnxg7II/seCI33LPlv0qn0yYNzuXnTsj44UonAAAAoG0om+pUqVTKtHEDM3Xs\nnGzY/niuv3drVm0+lFWbD+X0yUNy+TkTMm5436JjAgAAAHVG2VTnSqVSpo8flGnjBmb99sdzwz1b\n8/Cmg3l400GlEwAAAFB1yqZOolQqZcb4QZk+bmDWb3s819+75b9Kp9mnvFQ6jR2mdAIAAABOjrKp\nkymVSpkxYVCmjx+YddsO54Z7tmblowfz8KMHc97pI3Pl+ZPSp2fXomMCAAAAHZSyqZMqlUqZOWFw\nZowflHVbD+drt2/KXQ/vyfLKgVx1waScPWtEGkqlomMCAAAAHUxD0QEoVqlUysyJg/O/3zs/b180\nOS8eO5F/+9Ej+dSXV2THY08VHQ8AAADoYJRNJEkauzTk9QvH5k8/uDDzyk3ZtPvJ/NG/P5T/vHVj\nnjt6rOh4AAAAQAehbOKnDOrXIx95y6n53beflqYBPXPrsl35/X9+IA+s35fm5uai4wEAAAA1TtnE\nq5o5cXD+5P0LcsW5E/Ls0WP55++tz6e/ujJ7Dj5TdDQAAACghimb+Lm6NnbJZWdPyJ98YGFmTRqc\nR3Y8kU9+YWm+defmHH3heNHxAAAAgBqkbOKXGjqgZz76tln57beemgF9uuWHD2zPNf/6QFZsPODW\nOgAAAOCnNBYdgI6hVCpl9pSmTB8/KDfevy03Pbgj//CdNZk1aXDeecmUDB3Qs+iIAAAAQA0o1cGV\nKR3+G+iIdj72VD73ndVZvelgujY25KqLpuTKRZPTrWuXoqMBAABQsPdfe3OS5LprFhechJNQavWJ\n9VA2HTjwVNEZakZTU9+01340Nzdn6Yb9+drtj+bJp1/I0IE9865LpuTUiYMLz9ZWr1etNU9mndac\n25Jz2urYelfLe1EPs1etdWt59lpyfC2/39pbLe+F2avOGmavNtXyXpi96q3TVrPU0uNr+f3W3mp9\nL16Z72OfXZIk+fRHzmqX16u1NWv5Z18LZq/VZZNnNtFqpVIpC6cPy5998Iwsnj8mB594Pn/zjVX5\nx++uyeEjzxcdDwAAACiAZzZx0np2b8yvXHRKzj51RL50cyXLKweydsvhvO2CSblwzqiUSq0uQwEA\nAIAOxpVNVM2YoX3ye++ak/e9YVq6NjbkK7dszN9/a3WOPPtC0dEAAACAdqJsoqoaSqWcM2tE/vj9\nCzJ9/MCs2nwon/zC0qzfdrjoaAAAAEA7UDbRJgb06Z7ffcfpueqCSXn62Rfzma89nP/4wfocO36i\n6GgAAABAG1I20WYaSqVcesa4/M9fm5umAT3zrdsfzZ9/eUX2P/Fc0dEAAACANqJsos1NHNkvn3zv\n/Fwwd3S27j2S//2FpXlg3b6iYwEAAABtQNlEu+jZvTH//Z1z84E3TUtzkn/+/vpcd+P6PHf0WNHR\nAAAAgCpqLDoAnctZM0dk0qj++fwN63Lf2n15dPeTufryGRk/vF/R0QAAAIAqcGUT7W7YwF75/V+f\nm0sXjs3+x5/Ln35xeW56cEdONDcXHQ0AAAA4ScomCtHYpSFXLZqc333Haends2u+ccem/M03VuXJ\np48WHQ0AAAA4CcomCjVzwuD88fsW5NSJg7Nu6+F88gtLs2bLoaJjAQAAAK2kbKJw/Xp3y0evmpVf\nueiUPPP8sfzNN1bla7c9mhePnSg6GgAAANBCyiZqQkOplMXzx+Sad8/LsEG9cvNDO/NnX1qefYef\nLToaAAAA0ALKJmrKuOF988n3zMs5s0Zk+2NP5Y/+7aHcu3pvmj08HAAAADoEZRM1p0e3xrzvDdNy\n9eUz0tCQfOGHG/L5763Ls88fKzoaAAAA8Es0Fh0Afp4F04Zlwoh++efvrcvSDfuzZc+RfPRtszKq\nqU/R0QAAAICfw5VN1LSmAT3ziXfNyRvPHJeDTz6fP/vy8qzberjoWAAAAMDPoWyi5jV2aciV50/K\nhy6bnhePncjffGNV7nx4d9GxAAAAgFehbKLDOGP68HzsV2enV4/GfPGmSr5++6M5ccKDwwEAAKCW\nKJvoUE4ZPSDXvHtuhg/qlR8v3Zl//O6aHH3heNGxAAAAgJcpm+hwhg7slf/17rmZOnZAVj56MJ/6\nzxV5/KmjRccCAAAAomyig+rdo2t+9x2n55xZI7J931O59ovLsuOxp4qOBQAAAJ2esokOq7FLQ957\n6dS87YJJefypo/nzr6zI6s0Hi44FAAAAnZqyiQ6tVCrlDWeMy0eumJkTJ5rzd99anduW7yo6FgAA\nAHRayibqwrypQ/Pxd85O355d85VbNuYrt2zMcZ9UBwAAAO1O2UTdmDSyf65597yMGtI7ty3flWu/\n8GCeO3qs6FgAAADQqSibqCtDBvTM//y1uZkxYVCWbXgsn/rKihw+8nzRsQAAAKDTUDZRd3r1aMzv\nXDUrl545Pjv3P50/+eKybNt3pOhYAAAA0Ckom6hLXRoa8uErZ+VXLpycI0+/kE99ZUVWbjxQdCwA\nAACoe8om6lapVMriBWPzW289NUnyD99Zkx8v3ZHmZg8OBwAAgLaibKLuzZ7SlN9715z069MtX799\nU75088YcP3Gi6FgAAABQl5RNdArjh/fLH7x7XsYM7ZM7V+7O335zdZ593ifVAQAAQLUpm+g0BvXr\nkd9715zMmjQ467Yezp9/eXkOPvlc0bEAAACgriib6FR6dm/Mf7tyVi6eOzq7Dz6Tv/jKiux/QuEE\nAAAA1aJsotNpaCjlnZdMyZXnT8yhI0fzF19Zkccef7boWAAAAFAXlE10Wm88c3yuWjQpjz/1UuG0\n99AzRUcCAACADk/ZRKd26cJx+ZULJ+eJp1/IX/7nyuw5qHACAACAk6FsotNbvGBs3nnxKXnymRfy\nl/+5IrsPPF10JAAAAOiwlE2Q5OJ5Y/Jri6fkyLMv5i/+c2V27lc4AQAAQGsom+BlF84ZnXe/vpyn\nn3sxn/7qyux47KmiIwEAAECHo2yCV7jg9FF576VT88zLhdP2fQonAAAAaAllE/yMc08bmfe9cVqe\nff5YPv3Vldm690jRkQAAAKDDUDbBqzj71BH5wJun57kXjuWvvrYym3c/WXQkAAAA6BCUTfBznDlj\neH7zshk5+sKJfObrD2fTLoUTAAAA/DLKJvgFFkwblqsvn5EXj53IZ77xcNZtOVR0JAAAAKhpyib4\nJeZNHZqrL5+ZY8dO5JP/cn8e2f540ZEAAACgZimb4DWYW27KR94yM8ePn8jffnNV1m87XHQkAAAA\nqEnKJniNZp/SlN9/z4KcaG7O331rddZudUsdAAAA/CxlE7TA/OnD89tXzkpzc/L331qT1ZsVTgAA\nAPBKyiZooVMnDs5H3zYrpVLyD99ZnYc3HSw6EgAAANQMZRO0wowJg/I7b5uVhlIp//idNVm58UDR\nkQAAAKAmKJuglaaNH5T/9+2npbFLQz57/dosr+wvOhIAAAAUTtkEJ6E8duBLhVNjQ/7p+nV56BGF\nEwAAAJ2bsglO0pQxA/Lf33F6unVtyOdvWOcZTgAAAHRqyiaogsmj+ud333F6GruU8rnr12bTrieL\njgQAAACFUDZBlUwe1T8fvmJmjh1vzt99a1V2H3ym6EgAAADQ7pRNUEWnTR6S975hap55/lj++usP\n5/CR54uOBAAAAO1K2QRVdvapI3LVBZPy+FNH85mvP5ynn3ux6EgAAADQbpRN0AZev3BsFs8fk72H\nns3ffWtVjr54vOhIAAAA0C6UTdAGSqVS3n7h5JwxfVg27z6Sf7p+bY4dP1F0LAAAAGhzpebm5qIz\nnKwO/w1Qv148diJ/ct0DWbnxQC76/9i77/A4qkP94+9sVe+ybMm9HVe5k9BbIKEGMAECocWXVFpI\nuaTnhuSX5JLkppFQQgKkAAHTS+jgUAy49+Pem2TJsnrZ3d8fu7Jl07T2SrO7+n6ex8/OzpyZfXfR\nPLJfzszOGKQbLp4ix3HcjgUAAAAAPWrWT56XJN39vdNdToIjcNj/ePUlMoVbqqrq3Y6QNEpLc5P2\n8+jtbD3xeodzzGvOHqtb72/RS+9uUdDr0YUnjTiibIezbzz79NTYdJfMn0U6nHuJOm4yn3vxjE/m\nn7felsyfBedeYo7BuZeckvmz4NxL3HF66lyKd3wy/7z1tmT/LLrmC4Wi80J6Mm+y/Jsv0cdJln/z\nlZbmxpWhKy6jA3pYRsCnGz4zSWWFmXpm7iY9/+4WtyMBAAAAANBjKJuAXpCXFdDXL56s/JyAHnhp\njV5bsNXtSAAAAAAA9AjKJqCXlBRk6qaLJisz6NVvHligZRv2uB0JAAAAAICEo2wCetGgfjm6fmal\nHMfRbY8s04Yd+9yOBAAAAABAQlE2Ab3MDC7UNy6bpraOkP7vX4u1s6bJ7UgAAAAAACQMZRPggmMq\ny3X56UYNze369YOLtLeh1e1IAAAAAAAkBGUT4JKTplTovOOGqbquRb9+cLGaWjrcjgQAAAAAwBGj\nbAJcdM6xQ3XylAptrWrQ72cvUXtHyO1IAAAAAAAcEcomwEWO4+iy00ZrmimV3bJXdz6xQuFwxO1Y\nAAAAAAAcNsomwGUej6MvnDNOYwYXaP7qKv39eatIhMIJAAAAAJCaKJuAJOD3eXXtBZUa1C9Hry7a\nrife2Oh2JAAAAAAADgtlE5AksjJ8+tpFk1SSn6HHX9+gVxZuczsSAAAAAABxo2wCkkhBTlBfv3iy\ncrP8+vtzVvNW7XY7EgAAAAAAcaFsApJMWVGWvnbRJAUCXt355HLZzbVuRwIAAAAAoNsom4AkNLR/\nnq49f6IiEekPjyzVrtomtyMBAAAAANAtlE1Akho/rEiXf9KosaVDv3t4iZpa2t2OBAAAAADAR6Js\nApLYCZPKdfqMQdqxp0l/eny5QuGw25EAAAAAAPhQlE1Akrvo5JGqHFGs5Rtq9MCLa92OAwAAAADA\nh6JsApKcx+Poi+eOV0Vptl5asFVPv7HB7UgAAAAAAHwgyiYgBWQGfbphZqVys/y687GlWr6xxu1I\nAAAAAAC8L8omIEWUFGTqq+dPlMdx9KdHl2nHnka3IwEAAAAA8B6UTUAKGT2oQNddNElNrdFvqGto\n5hvqAAAAAADJhbIJSDGnTB+sMz8+RLtqm/Wnx5apI8Q31AEAAAAAkgdlE5CCLjhxuKaMKtHKTbX6\nxwurFYlE3I4EAAAAAIAkyiYgJXkcR9ecM06D+uXotUXb9eL8rW5HAgAAAABAEmUTkLIyAj5dP7NS\nedkBPfDSGi1dv8ftSAAAAAAAUDYBqaw4P0PXzZwor8ej2x9fpm3VfEMdAAAAAMBdlE1AihtRnq/P\nnzVGza0h/e7hxapvanM7EgAAAACgD6NsAtLAx8f11znHDFXV3hbd9shSvqEOAAAAAOAayiYgTXz6\n+GGabkq1emud7vu35RvqAAAAAACuoGwC0oTHcTTr7HEa0j9Xry/doefe2eJ2JAAAAABAH0TZBKSR\noN+r62dWqiAnoIdeWatFa6vdjgQAAAAA6GMom4A0U5gb1HUzK+X3eXTHE8u1ZXeD25EAAAAAAH1I\n3GWTMabSGDPTGHOeMWZCT4QCcGSGDcjTrLPHqbUt+g11tfUtbkcCAAAAAPQRvu4MMsZ4JH1R0o2S\nGiRtktQuaZgxJl/SbyTdYa3lK7CAJDFjTD/tOH6YHvvPBv3snnd144UT5fd53Y4FAAAAAEhz3Sqb\nJD0k6UVJR1tra7puMMYUSLpS0mOSzk1sPABH4pxjhmrHnia9vWKX7nnW6r/OHivHcdyOBQAAAABI\nY90tm6601r7vjV+stXsl/dYYc3fiYgFIBMdxdPUZY7S3oU1vLd+p8pIsnXX0ULdjAQAAAADSWLfK\nps6iyRhzpaSIpM6pEWFJzZJWWWuX9UhCAEck4Pfqu1cfpRv/71XNfm29+hdlaZrp53YsAAAAAECa\nivcG4edK+pGkSZImS/q+pGsl/dUYc1NiowFIlMK8DF0/s1IBv0d3PbWCb6gDAAAAAPSYeMumAZKm\nWmtvstZ+TdL02DGOkXRVgrMBSKDBZbm65uzxamsP6/ezl6ihud3tSAAAAACANBRv2VSi6LfRdWqW\nVGStbVf0kjoASWyaKdW5xw5VdV2Lbn98mUJhTlsAAAAAQGJ19wbhnWZLetkY86Akr6SZkh41xlwh\naUeiwwFIvHOPG6bNuxq0aG21Hn51nS4+ZZTbkQAAAAAAaSSumU3W2m9LulXSaElDJf3cWvt9Sasl\nXZrwdAASzuM4uuaccRpQnKXn3tmit5bvdDsSAAAAACCNxHsZnSTVSlol6TuSGiXJWjvXWlubyGAA\nek5m0KdrL5iozKBX9zy7Spt21rsdCQAAAACQJuIqm4wxN0q6RdLXJOVKutMY882eCAagZw0oztYX\nzhmvjo6wfv/IEu1rbHM7EgAAAAAgDcQ7s+kqSZ+S1GitrZI0Q9LnEx0KQO+YNLJE550wXDX7WvWn\nx5apI8QNwwEAAAAARybesilkrW3t8rxZUkcC8wDoZWcfPUTTTKnslr168OW1bscBAAAAAKS4eMum\n14wxv5KUY4w5T9ITkl5OfCwAvcVxHM06a6wqSrP10vytevGdTW5HAgAAAACksHjLpm9KWiNpsaQr\nJD0j6euJDgWgd2UEfLrugonKCvp028NLtG57nduRAAAAAAApqltlkzFmsDFmsKQKSc8qWjB9TdKT\nksp7Lh6A3tKvMEtf+vR4hcNh3fbIUtU1tH70TgAAAAAAHKK7M5uekfS0pNckrZP0uKTZklYrWjgB\nSAMThhfryrPGaW9Dm257lBuGAwAAAADi162yyVo7wVo7UdICScdYaydba6dLmi5pYw/mA9DLzj9p\npI4a209rt9Xpny+sdjsOAAAAACDFxHvPptHW2nc6n1hrl0oamdhIANzkOI6uPnOsBvfL0auLtuvV\nRdvcjgQAAAAASCG+OMdvMsb8VNL9ihZVV0lakehQANwV9Ht17QUT9eN75+kfz6/WwJIcjRyY73Ys\nAAAAAEAKiHdm0+WS8hQtm/4uKSLp6kSHAuC+koJMffnT4xWJSLc9ulS19dwwHAAAAADw0bo1s8kY\nM8Bau8NaWyvpug8bk9B0AFw1dmiRLj5lpO5/aY3+8MhS3XzZFPl9XrdjAQAAAACSWHdnNv3MGPNT\nY8zoQzcYY8YaY26VdGtiowFIBp+YPlDHTOivDTv26W/Pr1YkEnE7EgAAAAAgiXVrZpO19ipjzNmS\n7ooVTtsldUgaKGmdpFuttU/2XEwAbnEcR1d80mh7daNeX7JDQ8pydeq0gW7HAgAAAAAkqW7fINxa\n+5Skp4wxRZJGSApL2mCtrTmSAMaYMZLmSupnrW0zxpyv6CypLbEhP7TWzjmS1wBwZAKdNwy/5109\n8NIaDSzNlhlc6HYsAAAAAEASivfb6BQrl46oYOpkjMmT9CtJLV1WT5X0LWvtI4l4DQALcz4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Y1uRwIAAACAXkXZBAAJNqA4WzdfNlXFeRl6dM56zX5tnSKRiNuxAAAAAKBXUDYBQA/oV5ilb39u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\nFjTolQXb5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3.07316314e+02,\n", + " 3.79633199e+02, 4.68967507e+02, 5.79323735e+02,\n", + " 7.15648707e+02, 8.84053321e+02, 1.09208647e+03,\n", + " 1.34907346e+03, 1.66653395e+03, 2.05869844e+03,\n", + " 2.54314606e+03])" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "PT1 1Hz" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mag, phase, omega = pc.bode_plot(pt1_w001hz, Hz=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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nvTHdk5tG7+toTHNDXUolG5oDAAAAY5vYVJBS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\nkpqaUm5d0Jfl5d68tPVQHlq1Iy9sPpgXNh/Mwlmd+eSK2VkwsyOlUqn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v5ZWdzVy5ej3e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4tg8ASIjsLKcO1Ad0oD4gSYrMLqhrYFpXB6bVMzyjk51jOtk5JrvNUG1ZvvbU+NRS7VdF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\nSYpVYTpF/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+ "text": [ + "" + ] + } + ], + "prompt_number": 22 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "bode plot with higher resolution" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pc.config.bode_number_of_samples = 1000" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mag, phase, omega = pc.bode_plot([pt1_w001hz, pt1_w001hzs], Hz=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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2vYs2IWbAFd17zsAXKaY+t4lnGk7xmbZTZHk9KY5YREQkPX35la8C8K2XvpHi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\nRyVJNgubGk7DhU1FUfx6kn9NsqXetQAAAACNadTusGnT9qf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G2AQAAABAZYRNAAAAAFSm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\nLO2Dm4V9AAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "PT1 with additional integrator, continious and descrete" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis], Hz=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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+ut/RAAAAYCgVZVn2O8N8DHV4+ufWB3+U//lvf5OtjUdT9mo5fukZ+U9v/2DG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+ "text": [ + "" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "combination of various systems" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pc.config.bode_feature_periphery_decade = 1.\n", + "pc.config.bode_number_of_samples = 10000\n", + "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis, pt2_w001hz, pt2_w001hzs, pt5hz, pt5s, pt5sh], Hz=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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isgV9cpCgz2yzzHb3OvAi8AepVOoLwOn7Odnteg5V6nUm15aYzWaYL6yyWsmS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Dtm3f4HU8ERGRlKfik4iIiIgkvYyAn+sHdqcgFKC0MJuxI/KoqEvjrsc3sWXrOq/jiYiIpDQV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\nSVo8Ged8arlSoZl8cti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+ "text": [ + "" + ] + } + ], + "prompt_number": 26 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "broader bode plot" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pc.config.bode_feature_periphery_decade = 3.5" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 27 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis], Hz=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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pRu8ZWjhiosJmyO94AAAA8BDNJgAAkDWfHtyjt/a+q9rocSkqRZq667Z+s3TnsPEyTdPv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\n9d9/L74Xma6Rz9chiLKd06v1M1mHa+C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AAMD0pGwCYNrYY7sdssd2xyY5Nkly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FOVx9nq42w6SyaVYVRLI/muEpl0mkwqQyZVWTabzlTv02TSleUy6RSpVEA6FVTug4B07+eCyn06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\nPNexIz5yDfMAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 28 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "phase in rad" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis], Hz=True, deg=False)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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eHXpl12tnJt71TV+q+yffrKG9y01HAwAAABAwlud5pjN0lIJ9YwBg2ub9X+ix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\nsqGFOWmn56VWb+dfL/+PjLXcLQ8AoBcpoQCAae+lBx+dBaN7ZGTwvnz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4yZRQTyrL8s+S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+ "text": [ + "" + ] + } + ], + "prompt_number": 29 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 29 + } + ], + "metadata": {} + } + ] +} \ No newline at end of file From 5d56788467bf82cbe3a5222573633aeca1c7619a Mon Sep 17 00:00:00 2001 From: martinup Date: Tue, 18 Aug 2015 10:12:17 +0200 Subject: [PATCH 06/13] some cleanup in bode-plot and bode-plot example --- control/freqplot.py | 11 +- examples/bode-plot.ipynb | 7054 ++++++++++++++++++++++++++++++++++++-- 2 files changed, 6854 insertions(+), 211 deletions(-) diff --git a/control/freqplot.py b/control/freqplot.py index 9dd690b82..f82709bbe 100644 --- a/control/freqplot.py +++ b/control/freqplot.py @@ -161,7 +161,7 @@ def bode_plot(syslist, omega=None, omega_num=None, dB=None, Hz=None, deg=None, omegas.append(omega_sys) nyquistfrqs.append(nyquistfrq) # Get the dimensions of the current axis, which we will divide up - # ! TODO: Not current implemented; just use subplot for now + #! TODO: Not current implemented; just use subplot for now if (Plot): # Magnitude plot @@ -257,7 +257,6 @@ def nyquist_plot(syslist, omega=None, Plot=True, color='b', # Select a default range if none is provided if omega is None: - # ! TODO: think about doing something smarter for discrete omega = default_frequency_range(syslist) # Interpolate between wmin and wmax if a tuple or list are provided @@ -314,7 +313,7 @@ def nyquist_plot(syslist, omega=None, Plot=True, color='b', return x, y, omega # Gang of Four -# ! TODO: think about how (and whether) to handle lists of systems +#! TODO: think about how (and whether) to handle lists of systems def gangof4_plot(P, C, omega=None): """Plot the "Gang of 4" transfer functions for a system @@ -338,7 +337,7 @@ def gangof4_plot(P, C, omega=None): else: # Select a default range if none is provided - # ! TODO: This needs to be made more intelligent + #! TODO: This needs to be made more intelligent if omega is None: omega = default_frequency_range((P, C)) @@ -348,7 +347,7 @@ def gangof4_plot(P, C, omega=None): T = L * S; # Plot the four sensitivity functions - # ! TODO: Need to add in the mag = 1 lines + #! TODO: Need to add in the mag = 1 lines mag_tmp, phase_tmp, omega = T.freqresp(omega); mag = np.squeeze(mag_tmp) phase = np.squeeze(phase_tmp) @@ -466,7 +465,7 @@ def default_frequency_range(syslist, Hz=None, number_of_samples=None, feature_pe lsp_min = min(lsp_min, np.log10(min(freq_interesting))) lsp_max = max(lsp_max, np.log10(max(freq_interesting))) - # ! TODO: Add a check in discrete case to make sure we don't get aliasing (Attention: there is a list of system but only one omega vector) + #! TODO: Add a check in discrete case to make sure we don't get aliasing (Attention: there is a list of system but only one omega vector) # Set the range to be an order of magnitude beyond any features if number_of_samples: diff --git a/examples/bode-plot.ipynb b/examples/bode-plot.ipynb index 015088c6a..aaef5e5a9 100644 --- a/examples/bode-plot.ipynb +++ b/examples/bode-plot.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:3208a0d586b05dfa19a49838f07e859c0e3a00f33dbbfc723663b6f14edb4a48" + "signature": "sha256:7653207200eae1572c7243988e9034efcb01dc0ed688a6a52c568eacdcb7ae1c" }, "nbformat": 3, "nbformat_minor": 0, @@ -48,7 +48,7 @@ "collapsed": false, "input": [ "import matplotlib.pyplot as plt\n", - "plt.rcParams['figure.figsize'] = (20.0, 15.0) # figure size for inline plots" + "#plt.rcParams['figure.figsize'] = (20.0, 15.0) # figure size for static inline plots" ], "language": "python", "metadata": {}, @@ -59,14 +59,26 @@ "cell_type": "code", "collapsed": false, "input": [ - "#%matplotlib qt\n", - "# in case zoomable figures are wanted" + "%matplotlib nbagg\n", + "# inline figures become interactive" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "#%matplotlib qt\n", + "# in case non-inline / external figures are wanted" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 6 + }, { "cell_type": "code", "collapsed": false, @@ -78,7 +90,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 6 + "prompt_number": 7 }, { "cell_type": "code", @@ -89,7 +101,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 7 + "prompt_number": 8 }, { "cell_type": "heading", @@ -182,7 +194,7 @@ ] } ], - "prompt_number": 8 + "prompt_number": 9 }, { "cell_type": "heading", @@ -210,7 +222,7 @@ ] } ], - "prompt_number": 9 + "prompt_number": 10 }, { "cell_type": "code", @@ -225,7 +237,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 10, + "prompt_number": 11, "text": [ "\n", "0.0004998 z + 0.0004998\n", @@ -236,7 +248,7 @@ ] } ], - "prompt_number": 10 + "prompt_number": 11 }, { "cell_type": "code", @@ -251,7 +263,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 11, + "prompt_number": 12, "text": [ "\n", "0.003132 z + 0.003132\n", @@ -262,7 +274,7 @@ ] } ], - "prompt_number": 11 + "prompt_number": 12 }, { "cell_type": "code", @@ -277,7 +289,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 12, + "prompt_number": 13, "text": [ "\n", "6.264 z - 6.264\n", @@ -288,7 +300,7 @@ ] } ], - "prompt_number": 12 + "prompt_number": 13 }, { "cell_type": "code", @@ -303,7 +315,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 13, + "prompt_number": 14, "text": [ "\n", "9.839e-06 z^2 + 1.968e-05 z + 9.839e-06\n", @@ -314,7 +326,7 @@ ] } ], - "prompt_number": 13 + "prompt_number": 14 }, { "cell_type": "code", @@ -329,7 +341,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 14, + "prompt_number": 15, "text": [ "\n", "2.091e-07 z^5 + 1.046e-06 z^4 + 2.091e-06 z^3 + 2.091e-06 z^2 + 1.046e-06 z + 2.091e-07\n", @@ -340,7 +352,7 @@ ] } ], - "prompt_number": 14 + "prompt_number": 15 }, { "cell_type": "code", @@ -355,7 +367,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 15, + "prompt_number": 16, "text": [ "\n", "2.731e-10 z^5 + 1.366e-09 z^4 + 2.731e-09 z^3 + 2.731e-09 z^2 + 1.366e-09 z + 2.731e-10\n", @@ -366,7 +378,7 @@ ] } ], - "prompt_number": 15 + "prompt_number": 16 }, { "cell_type": "heading", @@ -394,15 +406,751 @@ "metadata": {}, "outputs": [ { + "javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox \u2265 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " fig.waiting = false;\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Close figure', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "metadata": {}, + "output_type": "display_data", + "text": [ + "" + ] + }, + { + "html": [ + "" + ], + "metadata": {}, + "output_type": "display_data", + "text": [ + "" + ] + } + ], + "prompt_number": 19 + }, + { "cell_type": "code", "collapsed": false, "input": [ @@ -540,217 +1961,5440 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 21, + "prompt_number": 20, "text": [ - "array([ 0.62831853, 0.69023376, 0.75825018, 0.83296902,\n", - " 0.91505074, 1.00522088, 1.10427649, 1.21309316,\n", - " 1.33263275, 1.4639519 , 1.60821139, 1.76668638,\n", - " 1.94077767, 2.13202412, 2.34211621, 2.57291102,\n", - " 2.82644861, 3.10497008, 3.41093738, 3.74705504,\n", - " 4.11629412, 4.52191845, 4.96751345, 5.4570179 ,\n", - " 5.99475868, 6.58548904, 7.23443066, 7.94731971,\n", - " 8.73045767, 9.59076694, 10.53585207, 11.57406697,\n", - " 12.71458874, 13.96749884, 15.34387212, 16.8558748 ,\n", - " 18.51687196, 20.34154567, 22.34602481, 24.54802761,\n", - " 26.96701828, 29.62437906, 32.5435992 , 35.75048263,\n", - " 39.27337602, 43.14341934, 47.39482115, 52.06516095,\n", - " 57.19572137, 62.83185307])" + "array([ 1.00000000e-01, 1.23531743e-01, 1.52600915e-01,\n", + " 1.88510570e-01, 2.32870393e-01, 2.87668855e-01,\n", + " 3.55362350e-01, 4.38985304e-01, 5.42286197e-01,\n", + " 6.69895591e-01, 8.27533699e-01, 1.02226680e+00,\n", + " 1.26282400e+00, 1.55998849e+00, 1.92708097e+00,\n", + " 2.38055671e+00, 2.94074320e+00, 3.63275133e+00,\n", + " 4.48760103e+00, 5.54361176e+00, 6.84812023e+00,\n", + " 8.45960228e+00, 1.04502941e+01, 1.29094305e+01,\n", + " 1.59472445e+01, 1.96999090e+01, 2.43356410e+01,\n", + " 3.00622414e+01, 3.71364108e+01, 4.58752555e+01,\n", + " 5.66705027e+01, 7.00060597e+01, 8.64797056e+01,\n", + " 1.06829888e+02, 1.31968822e+02, 1.63023386e+02,\n", + " 2.01385630e+02, 2.48775179e+02, 3.07316314e+02,\n", + " 3.79633199e+02, 4.68967507e+02, 5.79323735e+02,\n", + " 7.15648707e+02, 8.84053321e+02, 1.09208647e+03,\n", + " 1.34907346e+03, 1.66653395e+03, 2.05869844e+03,\n", + " 2.54314606e+03])" ] } ], - "prompt_number": 21 + "prompt_number": 20 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ - "PT1 1Hz discrete " + "PT1 1Hz" ] }, { "cell_type": "code", "collapsed": false, "input": [ - "mag, phase, omega = pc.bode_plot(pt1_w001hzs, Hz=True)" + "fig = plt.figure()\n", + "mag, phase, omega = pc.bode_plot(pt1_w001hz, Hz=True)" ], "language": "python", "metadata": {}, "outputs": [ { + "javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox \u2265 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " fig.waiting = false;\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Close figure', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "metadata": {}, + "output_type": "display_data", + "text": [ + "" + ] + }, + { + "html": [ + "" + ], + "metadata": {}, + "output_type": "display_data", + "text": [ + "" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "bode plot with higher resolution" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pc.config.bode_number_of_samples = 1000" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "fig = plt.figure()\n", + "mag, phase, omega = pc.bode_plot([pt1_w001hz, pt1_w001hzs], Hz=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox \u2265 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " fig.waiting = false;\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Close figure', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "metadata": {}, + "output_type": "display_data", + "text": [ + "" + ] + }, + { + "html": [ + "" + ], "metadata": {}, "output_type": "display_data", - "png": 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4tg8ASIjsLKcO1Ad0oD4gSYrMLqhrYFpXB6bVMzyjk51jOtk5JrvNUG1ZvvbU+NRS7VdF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\nSYpVYTpF/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"text": [ - "" + "" ] } ], - "prompt_number": 22 + "prompt_number": 26 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ - "bode plot with higher resolution" + "combination of various systems" ] }, { "cell_type": "code", "collapsed": false, "input": [ - "pc.config.bode_number_of_samples = 1000" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 23 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "mag, phase, omega = pc.bode_plot([pt1_w001hz, pt1_w001hzs], Hz=True)" + "pc.config.bode_feature_periphery_decade = 1.\n", + "pc.config.bode_number_of_samples = 10000\n", + "fig = plt.figure()\n", + "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis, pt2_w001hz, pt2_w001hzs, pt5hz, pt5s, pt5sh], Hz=True)" ], "language": "python", "metadata": {}, "outputs": [ { + "javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox \u2265 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " fig.waiting = false;\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Close figure', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], "metadata": {}, "output_type": "display_data", - "png": 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PtQ/dlXs3PJB13UfTbW368QPGktr0iqzqrc1h44fmhLVH5rSXH5VlrSX9Cw0AAOxzFE0A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"text": [ - "" + "" ] - } - ], - "prompt_number": 25 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "combination of various systems" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "pc.config.bode_feature_periphery_decade = 1.\n", - "pc.config.bode_number_of_samples = 10000\n", - "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis, pt2_w001hz, pt2_w001hzs, pt5hz, pt5s, pt5sh], Hz=True)" - ], - "language": "python", - "metadata": {}, - "outputs": [ + }, { + "html": [ + "" + ], "metadata": {}, "output_type": "display_data", - "png": 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isgV9cpCgz2yzzHb3OvAi8AepVOoLwOn7Odnteg5V6nUm15aYzWaYL6yyWsmS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Dtm3f4HU8ERGRlKfik4iIiIgkvYyAn+sHdqcgFKC0MJuxI/KoqEvjrsc3sWXrOq/jiYiIpDQV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\n82s/SGfhadZ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mv1MAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 26 + "prompt_number": 29 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ - "broader bode plot" + "phase in rad" ] }, { "cell_type": "code", "collapsed": false, "input": [ - "pc.config.bode_feature_periphery_decade = 3.5" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 27 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis], Hz=True)" + "fig = plt.figure()\n", + "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis], Hz=True, deg=False)" ], "language": "python", "metadata": {}, "outputs": [ { + "javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox \u2265 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " fig.waiting = false;\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('');\n", + " button.click(method_name, toolbar_event);\n", + " button.mouseover(tooltip, toolbar_mouse_event);\n", + " nav_element.append(button);\n", + " }\n", + "\n", + " // Add the status bar.\n", + " var status_bar = $('');\n", + " nav_element.append(status_bar);\n", + " this.message = status_bar[0];\n", + "\n", + " // Add the close button to the window.\n", + " var buttongrp = $('
');\n", + " var button = $('');\n", + " button.click(function (evt) { fig.handle_close(fig, {}); } );\n", + " button.mouseover('Close figure', toolbar_mouse_event);\n", + " buttongrp.append(button);\n", + " var titlebar = this.root.find($('.ui-dialog-titlebar'));\n", + " titlebar.prepend(buttongrp);\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(el){\n", + " // this is important to make the div 'focusable\n", + " el.attr('tabindex', 0)\n", + " // reach out to IPython and tell the keyboard manager to turn it's self\n", + " // off when our div gets focus\n", + "\n", + " // location in version 3\n", + " if (IPython.notebook.keyboard_manager) {\n", + " IPython.notebook.keyboard_manager.register_events(el);\n", + " }\n", + " else {\n", + " // location in version 2\n", + " IPython.keyboard_manager.register_events(el);\n", + " }\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._key_event_extra = function(event, name) {\n", + " var manager = IPython.notebook.keyboard_manager;\n", + " if (!manager)\n", + " manager = IPython.keyboard_manager;\n", + "\n", + " // Check for shift+enter\n", + " if (event.shiftKey && event.which == 13) {\n", + " this.canvas_div.blur();\n", + " event.shiftKey = false;\n", + " // Send a \"J\" for go to next cell\n", + " event.which = 74;\n", + " event.keyCode = 74;\n", + " manager.command_mode();\n", + " manager.handle_keydown(event);\n", + " }\n", + "}\n", + "\n", + "mpl.figure.prototype.handle_save = function(fig, msg) {\n", + " fig.ondownload(fig, null);\n", + "}\n", + "\n", + "\n", + "mpl.find_output_cell = function(html_output) {\n", + " // Return the cell and output element which can be found *uniquely* in the notebook.\n", + " // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n", + " // IPython event is triggered only after the cells have been serialised, which for\n", + " // our purposes (turning an active figure into a static one), is too late.\n", + " var cells = IPython.notebook.get_cells();\n", + " var ncells = cells.length;\n", + " for (var i=0; i= 3 moved mimebundle to data attribute of output\n", + " data = data.data;\n", + " }\n", + " if (data['text/html'] == html_output) {\n", + " return [cell, data, j];\n", + " }\n", + " }\n", + " }\n", + " }\n", + "}\n", + "\n", + "// Register the function which deals with the matplotlib target/channel.\n", + "// The kernel may be null if the page has been refreshed.\n", + "if (IPython.notebook.kernel != null) {\n", + " IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n", + "}\n" + ], + "metadata": {}, + "output_type": "display_data", + "text": [ + "" + ] + }, + { + "html": [ + "" + ], + "metadata": {}, + "output_type": "display_data", + "text": [ + "" + ] + } + ], + "prompt_number": 31 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "fig = plt.figure()\n", + "mag, phase, omega = pc.bode_plot([pt1_w001hzi, pt1_w001hzis, pt2_w001hz, pt2_w001hzs, pt5hz, pt5s, pt5sh], Hz=False,\n", + " omega_limits=(1.,1000.))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox \u2265 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " fig.waiting = false;\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('