def calculateSpline(self):
self.splineX = interpolate.Akima1DInterpolator(self.pointsLength,
self.xPoints)
self.splineY = interpolate.Akima1DInterpolator(self.pointsLength,
self.yPoints)
self.splineXDeriv1 = self.splineX.derivative(1)
self.splineYDeriv1 = self.splineY.derivative(1)
self.splineXDeriv2 = self.splineX.derivative(2)
self.splineYDeriv2 = self.splineY.derivative(2)
def __init__(self, json):
json["points"] = json.pop("data")
self.__dict__.update(json)
self.pointsLength = range(0, len(self.points))
self.xPoints = [point.point[0] for point in self.points]
self.yPoints = [point.point[1] for point in self.points]
self.splineX = interpolate.Akima1DInterpolator(self.pointsLength,
self.xPoints)
self.splineY = interpolate.Akima1DInterpolator(self.pointsLength,
self.yPoints)
def spicav_irf(perch):
''' This function provides the SPICAV IRF as a function of wavenumber
interval. '''
# load the SPICAV IR PSF file
path = '/Users/gouravmahapatr/Dropbox/PhD/spicav_data/psf_lw_all_O2_1270_desc.txt'
irf_data = np.loadtxt(path, skiprows=1)
dnu = irf_data[:, 0] # in cm-1
df = irf_data[:, 1] # in kHz
ch0 = irf_data[:, 2] # this is the normalized instrument response
ch0_2 = np.array(ch0)
ch0_2[(dnu > -4.5) & (dnu < 6)] = 0
#perch = -20.0 # this is the percentage change normalized to 1.
ch0_3 = ch0 + perch * ch0_2 / 1e2
#plt.plot(dnu,ch0_3,label=perch)
# make a new range of dnu
dnu_new = np.arange(-100, 100, abs(dnu[0] - dnu[1]))
# make the interpolator to get the instruments response for a given wavenumber
ch0_intp = interpolate.Akima1DInterpolator(dnu, ch0_3)
ch0_4 = ch0_intp(dnu_new)
# convert the nans into zeros
ch0_4[np.isnan(ch0_4)] = 0
# make a new interpolation box
ch0_intp = interpolate.Akima1DInterpolator(dnu_new, ch0_4)
# these are the constants to determine the wavenumber (Korablev et al.,)
f = 1.e3
a0 = -3.3865473e-8
b0 = 7.2595705e-2
c0 = -2.0449838e+0
a1 = -3.5371703e-8
b1 = 7.2919764e-2
c1 = -1.9140569e+1
# given a frequency of operation determine wavenumber
nu_0 = a0 * f**2 + b0 * f + c0 # in cm-1
nu_1 = a1 * f**2 + b1 * f + c1 # in cm-1
# given a wavenumber determine the frequency
# model the response function as (sin(x)/x)^2.
# x = dnu
# f = 14 # in cm-1
# xd = (2*np.pi*x/f)+np.pi*1.2
# y = (np.sin(xd)/(xd*1.0))**2
# plt.plot(x,y)
return ch0_intp, ch0_3, dnu_new, dnu, ch0
def interp_1d_values_from_profiles(self):
"""Interpolate values in 1D (lateral + longitudinal) from profiles"""
new_values = np.zeros((self.nb_var, self.nb_nodes_in_riverbed))
for i_zone in np.unique(self.points['zone']):
filter_points = self.points['zone'] == i_zone
section_us = self.section_seq[i_zone]
section_ds = self.section_seq[i_zone + 1]
xt_us = section_us.coord.array['Xt']
xt_ds = section_ds.coord.array['Xt']
xt_us_target = self.points['Xt_upstream'][filter_points]
xt_ds_target = self.points['Xt_downstream'][filter_points]
for i, var in enumerate(self.var_names()):
values_us = section_us.coord.values[var]
values_ds = section_ds.coord.values[var]
if self.interp_values == 'LINEAR':
new_values_us = np.interp(xt_us_target, xt_us, values_us)
new_values_ds = np.interp(xt_ds_target, xt_ds, values_ds)
elif self.interp_values == 'B-SPLINE':
splrep_us = interpolate.splrep(xt_us, values_us)
splrep_ds = interpolate.splrep(xt_ds, values_ds)
new_values_us = interpolate.splev(xt_us_target, splrep_us)
new_values_ds = interpolate.splev(xt_ds_target, splrep_ds)
elif self.interp_values == 'AKIMA':
new_values_us = interpolate.Akima1DInterpolator(
xt_us, values_us)(xt_us_target)
new_values_ds = interpolate.Akima1DInterpolator(
xt_ds, values_ds)(xt_ds_target)
elif self.interp_values == 'PCHIP':
new_values_us = interpolate.pchip_interpolate(
xt_us, values_us, xt_us_target)
new_values_ds = interpolate.pchip_interpolate(
xt_ds, values_ds, xt_ds_target)
elif self.interp_values == 'CUBIC_SPLINE':
new_values_us = interpolate.CubicSpline(
xt_us, values_us)(xt_us_target)
new_values_ds = interpolate.CubicSpline(
xt_ds, values_ds)(xt_ds_target)
else:
raise NotImplementedError
new_values[i, filter_points] = new_values_us * (1 - self.points['xl'][filter_points]) + \
new_values_ds * self.points['xl'][filter_points]
return new_values
def _akima_interpolate(xi, yi, x, der=0, axis=0):
"""
Convenience function for akima interpolation.
xi and yi are arrays of values used to approximate some function f,
with ``yi = f(xi)``.
See `Akima1DInterpolator` for details.
Parameters
----------
xi : array_like
A sorted list of x-coordinates, of length N.
yi : array_like
A 1-D array of real values. `yi`'s length along the interpolation
axis must be equal to the length of `xi`. If N-D array, use axis
parameter to select correct axis.
x : scalar or array_like
Of length M.
der : int or list, optional
How many derivatives to extract; None for all potentially
nonzero derivatives (that is a number equal to the number
of points), or a list of derivatives to extract. This number
includes the function value as 0th derivative.
axis : int, optional
Axis in the yi array corresponding to the x-coordinate values.
See Also
--------
scipy.interpolate.Akima1DInterpolator
Returns
-------
y : scalar or array_like
The result, of length R or length M or M by R,
"""
from scipy import interpolate
try:
P = interpolate.Akima1DInterpolator(xi, yi, axis=axis)
except TypeError:
# Scipy earlier than 0.17.0 missing axis
P = interpolate.Akima1DInterpolator(xi, yi)
if der == 0:
return P(x)
elif interpolate._isscalar(der):
return P(x, der=der)
else:
return [P(x, nu) for nu in der]
def spline2(self, point):
y = list(self.df.iloc[:, 0])
x = list(self.df.index)
f = interpolate.Akima1DInterpolator(x, y)
X = np.linspace(x[0], x[-1], num=point, endpoint=True)
Y = f(X)
self.df = pd.DataFrame(Y, index=X)
def arange_atm_to_same_wavelength(atm_containers):
"""
Function aligns all atmosphere profiles to the same wavelengths.
:param atm_containers: Iterable[elisa.atm.AtmDataContainer]; atmosphere containers which
wavelengths should be aligned
:return: Iterable[elisa.atm.AtmDataContainer]; wavelength aligned atmospheric containers
"""
wavelengths = np.unique(
np.array([atm.model.wavelength for atm in atm_containers]).flatten())
wavelengths.sort()
result = list()
# this code checks if the containers are already alligned
s_size = sys.maxsize
for atm in atm_containers:
s_size = len(atm.model) if len(atm.model) < s_size else s_size
# if yes, interpolation is unnecessary
if s_size == len(wavelengths):
return atm_containers
# otherwise interpolation is utilized
for atm in atm_containers:
i = interpolate.Akima1DInterpolator(atm.model.wavelength,
atm.model.flux)
atm.model = AtmModel(wavelength=wavelengths,
flux=np.nan_to_num(i(wavelengths)))
result.append(atm)
return result
def interpolate_data(data, interpolation_step, start_ts=0, end_ts=None):
"""
:param data: object of Class Data
:param interpolation_step: interval between new computed values eg. 10ms (data originally has intervals of ~100ms)
:param start_ts: start of window to cut out from all Data object
:param end_ts: end of window to cut out from all Data object
:return:
"""
cut_df = data.df.sort_values(file_header_hostTimestamp)
old_t = cut_df[file_header_hostTimestamp]
new_t = range(start_ts, end_ts, interpolation_step)
values_labels = cut_df.columns[5:]
new_df = pd.DataFrame()
for vl in values_labels:
values = cut_df[vl]
cs = inter.Akima1DInterpolator(old_t, values)
new_df.insert(len(new_df.columns), vl, cs(new_t))
new_df.insert(0, file_header_raw_data, "MLEKO")
new_df.insert(0, file_header_nodeTimestamp, "NA")
new_df.insert(0, file_header_nodename, data.device)
new_df.insert(0, file_header_hostTimestamp, new_t)
# compute sensor_time <--> real_time ratio
sensor_time = cut_df[file_header_hostTimestamp].iloc[0]
real_time = cut_df[file_header_real_time].iloc[0]
start_real_time = real_time - datetime.timedelta(
milliseconds=int(sensor_time))
real_time_column = [
start_real_time + datetime.timedelta(milliseconds=int(ms))
for ms in list(new_t)
]
real_time_series = pd.to_datetime(real_time_column)
new_df.insert(0, file_header_real_time, real_time_series)
return Data(data.device, data.category, new_df)
def extend_atm_container_on_bandwidth_boundary(atm_container, left_bandwidth,
right_bandwidth):
"""
Function crops the wavelength boundaries of the atmosphere model to the precise boundaries defined by
`left_bandwidth` and `right_bandwidth`.
:param atm_container: elisa.atm.AtmDataContainer;
:param left_bandwidth: float;
:param right_bandwidth: float;
:return: elisa.atm.AtmDataContainer;
"""
interpolator = interpolate.Akima1DInterpolator(
atm_container.model.wavelength, atm_container.model.flux)
# interpolating values precisely on the border of the filter(s) coverage
on_border_flux = interpolator([left_bandwidth, right_bandwidth])
if np.isnan(on_border_flux).any():
raise AtmosphereError(
'Interpolation on bandwidth boundaries leed to NaN value.')
atm_model: AtmModel = atm_container.model
atm_model.wavelength[np.array([0, -1])] = [left_bandwidth, right_bandwidth]
atm_model.flux[np.array([0, -1])] = [on_border_flux[0], on_border_flux[1]]
atm_model.flux = np.round(atm_model.flux, 10)
atm_container.model = atm_model
# continute here
return atm_container
def fgetCosts(pSO):
vSO = np.array([0, 2, 5, 8, 11, 14, 16])
vKosten = np.array([0, 1, 5, 15, 50, 150, 500])
fMean = interpolate.Akima1DInterpolator(vSO, vKosten)
vx = np.array(range(0, 17)) #np.linspace(2, 16, 10**2)
vy = fMean(vx)
fUpBoun = interpolate.Akima1DInterpolator(vx[0:-1], vy[1:])
fLoBoun = interpolate.Akima1DInterpolator(vx[1:], vy[0:-1])
vMean = fMean(pSO)
vUpBoun = fUpBoun(pSO)
vLoBoun = fLoBoun(pSO)
return vMean, vUpBoun, vLoBoun
def interpolation(x_axis,
y_axis,
x_value,
model='chip',
method=None,
is_function=False):
methods = [
'linear', 'nearest', 'zero', 'slinear', 'quadratic', 'cubic',
'previous', 'next'
]
# print(type(x_value),type(min(x_axis)))
models = [
'akima', 'chip', 'interp1d', 'cubicspline', 'krogh', 'barycentric'
]
# print('x_axis => ',x_axis)
result = None
f = None
if model is None or model == 'interp1d':
if method in methods:
f = interpolate.interp1d(x_axis, y_axis, kind=method)
else:
f = interpolate.interp1d(x_axis, y_axis, kind='cubic')
elif model in models:
if model == 'akima':
f = interpolate.Akima1DInterpolator(x_axis, y_axis)
elif model == 'chip':
f = interpolate.PchipInterpolator(x_axis, y_axis)
elif model == 'cubicspline':
f = interpolate.CubicSpline(x_axis, y_axis)
elif model == 'krogh':
f = interpolate.KroghInterpolator(x_axis, y_axis)
elif model == 'barycentric':
f = interpolate.BarycentricInterpolator(x_axis, y_axis)
else:
f = interpolate.PchipInterpolator(x_axis, y_axis)
if is_function == True:
return f
else:
if not isinstance(x_value, list):
# if x_value <min(x_axis) or x_value >max(x_axis):
# raise Exception('interpolation error: value requested is outside of range')
# return result
try:
result = float(f(x_value))
except:
return result
else:
result = list(map(lambda x: float(f(x)), x_value))
return result
def splineAkima1DInterpolator(xydata,point):
try:
x, y = spline.transnp(xydata)
f = interpolate.Akima1DInterpolator(x, y)
X = np.linspace(x[0],x[-1],num=point,endpoint=True)
Y = f(X)
return X,Y
except ValueError as e:
print("catch ValueError", e)
return (0,0)
def _interp_missing(series):
"""Interpolate (Akima) signal"""
if len(series.dropna()) < 2: return series
days = np.array((series.index - series.index[0]).days)
data = np.array(series)
valid_idx = np.where(~np.isnan(data))
if len(valid_idx[0]) == 0: return series
f = interpolate.Akima1DInterpolator(days[valid_idx], data[valid_idx])
return pd.Series(f(days), index=series.index)
def main():
data = np.loadtxt('input.csv', delimiter=',')
k = data[:, 0].tolist()
energy = data[:, 1].tolist()
knew = np.linspace(k[0], k[-1], num=len(k) * 500)
# liner interpolation
liner = interpolate.interp1d(k, energy)
# 3d spline interpolation
cubic = interpolate.interp1d(k, energy, kind="cubic")
# 0d spline interpolation
zero = interpolate.interp1d(k, energy, kind="zero")
# 秋間法
akima = interpolate.Akima1DInterpolator(k, energy)
plt.plot(k, energy, "o")
plt.plot(knew, liner(knew), "b", label="Liner interpolation")
plt.plot(knew, cubic(knew), "r", label="3d Spline interpolation")
plt.plot(knew, akima(knew), "g", label="Akima interpolation")
plt.plot(knew, zero(knew), "m", label="0d Spline interpolation")
plt.xlim([0.99, 1.00])
plt.ylim([0.40, 0.55])
plt.legend()
plt.savefig("bandstructure.png")
# difference
dx = (k[-1] - k[0]) / len(k) * 500
dot_np = np.gradient(cubic(knew), dx)
plt.figure()
plt.plot(knew, dot_np)
plt.xlim([0.99, 1.00])
plt.savefig("gradient_1.png")
dot2_np = np.gradient(dot_np, dx)
plt.figure()
plt.plot(knew, dot2_np)
plt.xlim([0.99, 1.00])
plt.savefig("gradient_2.png")
new_band_structure = np.zeros(((len(knew)), 2))
print(len(new_band_structure[:, 0]))
print(len(knew))
new_band_structure[:, 0] = knew
new_band_structure[:, 1] = cubic(knew)
with open("interpolated_band_structure.csv", "w") as mycsv:
csvwriter = csv.writer(mycsv, delimiter=',')
csvwriter.writerows(new_band_structure)
def curveTextToCurveData(self):
keys = self.curveText.split(",")
self.v = np.empty(len(keys))
self.f = np.empty(len(keys))
for i, k in enumerate(keys):
self.v[i] = k.split("@")[0]
self.f[i] = k.split("@")[1]
self.f_akim = interpolate.Akima1DInterpolator(self.f, self.v)
self.f_int = interpolate.UnivariateSpline(self.f, self.v, k=2, s=0)
#self.f_cubic = interpolate.interp1d(self.f, self.v, kind='cubic')
print(
"\n----\nFrom string %s\ncreated curve with values \t%s \nat frames \t\t\t%s\n----\n"
% (self.curveText, self.v, self.f))
def build_splines(hists, doErrors=False):
splines = []
nbins = hists[0][1].GetNbinsX()
for i in range(0, nbins + 2):
x = [] # mass
y = [] # bin content
for mass, h in hists:
x.append(mass)
if doErrors:
y.append(h.GetBinError(i))
else:
y.append(h.GetBinContent(i))
splines.append(interpolate.Akima1DInterpolator(x, y))
return splines
def table(self, df):
"""
Setter for passband table.
It precompute left and right bandwidth for given table and also interpolation function placeholder.
Akima1DInterpolator is used. If `bolometric` passband is used then interpolation function is like::
lambda x: 1.0
:param df: pandas.DataFrame;
"""
self._table = df
self.akima = bolometric if (self.passband.lower() in ['bolometric', 'rv_band']) else \
interpolate.Akima1DInterpolator(df[settings.PASSBAND_DATAFRAME_WAVE],
df[settings.PASSBAND_DATAFRAME_THROUGHPUT])
self.left_bandwidth = min(df[settings.PASSBAND_DATAFRAME_WAVE])
self.right_bandwidth = max(df[settings.PASSBAND_DATAFRAME_WAVE])
def interpolation(x_array: list, y_array: list):
points = [(x_array[i], y_array[i]) for i in range(0, len(x_array))]
points.sort(key=lambda tup: tup[0])
x_data = []
y_data = []
for item in points:
x_data.append(item[0])
y_data.append(item[1])
x_data = np.array(x_data)
y_data = np.array(y_data)
f = interpolate.Akima1DInterpolator(x_data, y_data)
max_x = max(x_data)
x_new = np.linspace(0, max_x, num=100, endpoint=True)
y_new = f(x_new)
x_new = list(x_new)
y_new = list(y_new)
return x_new, y_new
def ridiculous_log_transform(data,
ndim=1024,
fs=400,
down=30,
smoothing_cutoff=1,
hard_cutoff=200,
log_low_cut=-2.32,
prenormalize=True,
useEnvelope=True):
"""
This function returns a distorted version (x-axis log-transformed) of the fourier transform of the signal.
My hope is with this approach is that it results in a more normally-distributed looking vector, which should lead
to less weirdness in the NNs later on. At least that is my hope. I've been informed by my signals teacher that
taking the log of the y of a signal is bad, and warping x is worse! But oh well, we shall see if it works.
:param data: input data, [n,t] array-like
:param ndim: dimension of output vector
:param fs: input data sampling frequency
:param smoothing_cutoff: 'Frequency' of smoothing the spectrum
:param hard_cutoff: Chop off the frequency spectrum above this frequency
:param log_low_cut: Sets how much to include very low frequency components
:return:
"""
if prenormalize:
data = msig.norm_softclip(data)
if useEnvelope:
data = msig.envelope(data)
# FFT and magnitude
ftsig = fftpack.fft(data, axis=0)
ftsig_a = np.abs(ftsig[:len(ftsig) * hard_cutoff // fs])
# Smooth it with low pass and downsample. Low pass may not be necessary since resample does appropriate
# pre-filtering
ftsig_r = signal.resample_poly(ftsig_a, 1, down, axis=0)
# Ok, now the weird bit. Take the existing x-domain and create an interpolation image of it
t_rs = np.linspace(0.0001, hard_cutoff, len(ftsig_r))
fn_ftsig_rs = interpolate.Akima1DInterpolator(t_rs, ftsig_r)
# And now map an exponential domain, thereby creating a higher density of points around the main freq
x_basis = np.linspace(log_low_cut, np.log2(hard_cutoff), ndim)
log_ftsig = fn_ftsig_rs(np.power(2, x_basis))
return log_ftsig
def freq_log_transform(ftsig,
fs=400,
smoothing_cutoff=1,
hard_cutoff=100,
log_low_cut=-5):
# todo: FIX UP THE CRUFT!!!
ndim = len(ftsig)
ftsig_a = ftsig #ftsig[:len(ftsig)*hard_cutoff//fs]
# Smooth it with low pass and downsample. Low pass may not be necessary since resample does appropriate
# pre-filtering
# ftsig_f = auxfilter.butterfilt(ftsig_a, smoothing_cutoff, fs)
# Ok, now the weird bit. Take the existing x-domain and create an interpolation image of it
t_rs = np.linspace(1, hard_cutoff, ndim)
fn_ftsig_rs = interpolate.Akima1DInterpolator(t_rs, ftsig_a)
# And now map an exponential domain, thereby creating a higher density of points around the main freq
log_ftsig = fn_ftsig_rs(
np.exp(np.linspace(log_low_cut, np.log(hard_cutoff), hard_cutoff)))
return log_ftsig
def _interpolate(self, df):
# type: (pandas.DataFrame)->InterpType
if self.axes == "linear":
wrapper = AxesWrapper(["linear"], "linear")
elif self.axes == "log":
wrapper = AxesWrapper(["linear"], "log")
elif self.axes == "loglinear":
wrapper = AxesWrapper(["log"], "linear")
elif self.axes == "loglog":
wrapper = AxesWrapper(["log"], "log")
else:
raise ValueError("Invalid axes wrapper: %s", self.axes)
if df.index.nlevels != 1:
raise ValueError("Scipy1dInterpolator not handle multiindex data.")
# axes modification; note that the wrappers are numpy.vectorize()-ed.
xs = wrapper.wx[0](df.index.to_numpy())
ys = wrapper.wy(df.to_numpy())
if self.kind == "spline":
f_bar = sci_interp.CubicSpline(xs,
ys,
bc_type="natural",
extrapolate=False)
elif self.kind == "pchip":
f_bar = sci_interp.PchipInterpolator(xs, ys, extrapolate=False)
elif self.kind == "akima":
f_bar = sci_interp.Akima1DInterpolator(xs, ys)
f_bar.extrapolate = False
else:
f_bar = sci_interp.interp1d(xs, ys, self.kind, bounds_error=True)
# now `f_bar` is float->float; we should convert it to Tuple[float]->float.
def _f_bar(x, f_bar=f_bar): # noqa: B008
# type: (Sequence[float], Callable[[float], float])->float
return f_bar(*x)
return wrapper.wrapped_f(_f_bar)
def __init__(self):
"""Constructs the LUT TABLE needed for making the images"""
#self.LUT_TABLE = np.array([])
P = np.array([ # x, y
[0.00000, 0.00000],
[0.09975, 0.25581],
[0.10224, 0.88889],
[0.13716, 0.00000],
[0.13965, 0.71576],
[0.14214, 0.85788],
[0.28429, 0.00000],
[0.28678, 0.54005],
[0.28928, 0.32558],
[0.29177, 0.58656], #row 10
[0.32918, 0.70543],
[0.33167, 0.62532],
[0.49377, 0.58915],
[0.49626, 0.20672],
[0.67830, 0.55297],
[0.68080, 0.31525],
[0.68579, 0.13695],
[0.71072, 0.78295],
[0.78055, 0.02326],
[0.78803, 0.58140], # row 20
[0.80050, 0.00000],
[1.00000, 1.00000]
])
new_y = ip.Akima1DInterpolator(P[:, 0], P[:, 1])
self.LUT_TABLE = []
for i in range(0, 256):
new_val = int(new_y(i / 255) * 255)
self.LUT_TABLE = np.append(self.LUT_TABLE, new_val)
self.LUT_TABLE = np.clip(self.LUT_TABLE, 0, 255)
self.LUT_TABLE_RGB = np.concatenate(
[self.LUT_TABLE, self.LUT_TABLE, self.LUT_TABLE])
def _set_sample(self, sampled_points: np.ndarray, span: float) -> None:
"""Resample sample data to reference rate and store it.
For the cross-correlation approach to work, sample and reference need
the same rate of samples per arbitrary unit.
:param sampled_points: np array of shape (2, n) for n sampled points.
The first row represents the x values at which the samples
have been measured (don't need to be to scale with respect
to the reference, don't need to be equidistant). The second
row is the actual signal at those points.
:param span: How many arbitrary (reference) units does the sample span?
This is the crucial indicator of how wide the given sample
is, as the actual sample point count is ignored due to
resampling.
"""
# We assume, that for our signal type, Akima splines present a much
# more reasonable approximation than linear interpolation. The
# `length` parameter effectively determines the number of sample
# points, as it is given with respect to the reference data length.
# Normalize sample into the [0, 1] (inclusive) interval.
xvals = sampled_points[0]
xvals -= min(xvals)
xvals /= max(xvals)
# Create an interpolation function defined in the [0, 1] interval and
# resample the data. We only need the new equidistant y values from now
# on.
inter = interpolate.Akima1DInterpolator(xvals, sampled_points[1])
n_samples = (span / self.ref_span) * len(self.reference)
sample = inter(np.linspace(0, 1, n_samples))
# Normalize values for reproducible cross correllation results.
norm = np.linalg.norm(sample)
self._sample = np.divide(sample, norm)
# Correllation needs to be recalculated when a new sample was set.
self._corr = None
def set_interp(self):
prob = scipy.clip(self.norm * self.nbar, 0., 1.)
self.interp = interpolate.Akima1DInterpolator(self.z, prob, axis=0)
def set_interp(self):
self.interp = interpolate.Akima1DInterpolator(self.rgrid,
self.zgrid,
axis=0)
def __init__(self, curve: 'Curve'):
super().__init__(curve)
self.akima = interp.Akima1DInterpolator(curve.t, curve.data, axis=0)
(np.std(CN[:, 2], dtype=float, ddof=1)))).encode('utf-8')
# creo el fondo de la figura
fig = plt.figure(facecolor='white', figsize=(9, 14))
csfont = {'fontname': 'Liberation Sans'}
# agrego la serie temporal
time1 = fig.add_axes([0.1, 0.58, 0.8, 0.4])
date = arnum[0:17, 16]
flux = arnum[0:17, 2]
ndate = np.empty((0, 1))
for i in date:
ndate = np.append(ndate, (mdates.date2num(i)))
newx = np.linspace(ndate.min(), ndate.max(), 200)
dd = mdates.num2date(newx)
akima1 = interpolate.Akima1DInterpolator(ndate, flux)
time1.plot(newx, akima1(newx), 'black', linewidth=3)
time1.plot(date,
flux,
'o',
color='black',
markersize=10,
markeredgecolor='black')
time1.xaxis.set_major_locator(mdates.MonthLocator(interval=4))
time1.xaxis.set_major_formatter(mdates.DateFormatter('%Y-%m'))
plt.ylim(0, 120)
plt.yticks(np.arange(0, 121, 60), size=16, **csfont)
time1.set_ylabel('Total particle flux (mg/$\mathregular{cm^{2}/day}$)',
size=22,
position=(1, 0),
**csfont)
vy = fMean(vx)
fUpBoun = interpolate.Akima1DInterpolator(vx[0:-1], vy[1:])
fLoBoun = interpolate.Akima1DInterpolator(vx[1:], vy[0:-1])
vMean = fMean(pSO)
vUpBoun = fUpBoun(pSO)
vLoBoun = fLoBoun(pSO)
return vMean, vUpBoun, vLoBoun
vSO = np.array([0, 2, 5, 8, 11, 14, 16])
vKosten = np.array([0, 1, 5, 15, 50, 150, 500])
fMean = interpolate.Akima1DInterpolator(vSO, vKosten)
vx = np.array(range(0, 17)) #np.linspace(2, 16, 10**2)
vy = fMean(vx)
plt.plot(vSO, vKosten, 'k-', label='Approximierte Mittlere Kosten')
plt.plot(vx, vy, 'r--', label='Approximierte Mittlere Kosten')
plt.xlabel('Sozialstatus')
plt.ylabel('Kosten $D/M$')
plt.legend(loc='best')
plt.tight_layout()
plt.show()
plt.clf()
vx_u1 = np.array(range(2, 17))
import sys
A,B = 1.0,1.0
lj = lambda r: (A/(r**12))-(B/(r**6))
start,stop,n = .1,3,500
n_test_points = 2000
domain = np.linspace(start,stop,n)
lj_range = list(map(lj,domain))
test_points = np.random.random_sample(n_test_points)*(stop-start) + start
pchip = interpolate.PchipInterpolator(domain,lj_range)
cspline = interpolate.CubicSpline(domain,lj_range)
akima = interpolate.Akima1DInterpolator(domain,lj_range)
test_points_interpolated = []
for point in test_points:
test_points_interpolated.append(akima(point))
test_points_abs_error = []
test_points_rel_error = []
for i,point in enumerate(test_points_interpolated):
abs_e = abs(point-lj(test_points[i]))
rel_e = abs(abs_e / lj(test_points[i]))
test_points_abs_error.append(abs_e)
test_points_rel_error.append(rel_e)
f, ax = plt.subplots(3, sharex=True)
print ("Total ST: %.2f %s %.2f vs. %.2f %s %.2f"%((np.mean(WN[:,2])),u"\u00b1",(np.std(WN[:,2],dtype=float,ddof=1)),(np.mean(CN[:,2])),u"\u00b1",(np.std(CN[:,2],dtype=float,ddof=1))))
# creo el fondo de la figura
fig=plt.figure(facecolor='white', figsize=(9,14))
csfont = {'fontname':'Liberation Sans'}
# agrego la serie temporal
time1 = fig.add_axes([0.1, 0.58, 0.8, 0.4])
date = arnum[0:17,16]
flux = arnum[0:17,2]
ndate = np.empty((0,1))
for i in date:
ndate = np.append(ndate, (mdates.date2num(i)))
newx = np.linspace(ndate.min(), ndate.max(), 200)
dd = mdates.num2date(newx)
akima1 = interpolate.Akima1DInterpolator(ndate, flux)
time1.plot(newx, akima1(newx), 'black', linewidth=3)
time1.plot(date, flux, 'o', color = 'black', markersize=10, markeredgecolor = 'black')
time1.xaxis.set_major_locator(mdates.MonthLocator(interval = 4))
time1.xaxis.set_major_formatter(mdates.DateFormatter('%Y-%m'))
plt.ylim(0,110)
plt.yticks(np.arange(0,111,55), size = 16, **csfont)
time1.set_ylabel('Total particle flux (mg.$\mathregular{cm^{-2}.day^{-1}}$)', size = 22, position = (1,0), **csfont)
fig.autofmt_xdate(rotation = 90)
time1.tick_params(axis='x', which='major', labelsize=14)
time1.set_xlim([datetime.date(2007,12,1),datetime.date(2014,3,7)])
# ploteo el ratio en timeserie
time2 = time1.twinx()
ratio = arnum[0:17,10]
"""# paso el copro a mg/g en el array copr
