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tools.py
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"""
Collection of functions used in pvlib_python
"""
import datetime as dt
import numpy as np
import pandas as pd
import pytz
import warnings
def cosd(angle):
"""
Cosine with angle input in degrees
Parameters
----------
angle : float or array-like
Angle in degrees
Returns
-------
result : float or array-like
Cosine of the angle
"""
res = np.cos(np.radians(angle))
return res
def sind(angle):
"""
Sine with angle input in degrees
Parameters
----------
angle : float
Angle in degrees
Returns
-------
result : float
Sin of the angle
"""
res = np.sin(np.radians(angle))
return res
def tand(angle):
"""
Tan with angle input in degrees
Parameters
----------
angle : float
Angle in degrees
Returns
-------
result : float
Tan of the angle
"""
res = np.tan(np.radians(angle))
return res
def asind(number):
"""
Inverse Sine returning an angle in degrees
Parameters
----------
number : float
Input number
Returns
-------
result : float
arcsin result
"""
res = np.degrees(np.arcsin(number))
return res
def acosd(number):
"""
Inverse Cosine returning an angle in degrees
Parameters
----------
number : float
Input number
Returns
-------
result : float
arccos result
"""
res = np.degrees(np.arccos(number))
return res
def localize_to_utc(time, location):
"""
Converts or localizes a time series to UTC.
Parameters
----------
time : datetime.datetime, pandas.DatetimeIndex,
or pandas.Series/DataFrame with a DatetimeIndex.
location : pvlib.Location object
Returns
-------
pandas object localized to UTC.
"""
if isinstance(time, dt.datetime):
if time.tzinfo is None:
time = pytz.timezone(location.tz).localize(time)
time_utc = time.astimezone(pytz.utc)
else:
try:
time_utc = time.tz_convert('UTC')
except TypeError:
time_utc = time.tz_localize(location.tz).tz_convert('UTC')
return time_utc
def datetime_to_djd(time):
"""
Converts a datetime to the Dublin Julian Day
Parameters
----------
time : datetime.datetime
time to convert
Returns
-------
float
fractional days since 12/31/1899+0000
"""
if time.tzinfo is None:
time_utc = pytz.utc.localize(time)
else:
time_utc = time.astimezone(pytz.utc)
djd_start = pytz.utc.localize(dt.datetime(1899, 12, 31, 12))
djd = (time_utc - djd_start).total_seconds() * 1.0/(60 * 60 * 24)
return djd
def djd_to_datetime(djd, tz='UTC'):
"""
Converts a Dublin Julian Day float to a datetime.datetime object
Parameters
----------
djd : float
fractional days since 12/31/1899+0000
tz : str, default 'UTC'
timezone to localize the result to
Returns
-------
datetime.datetime
The resultant datetime localized to tz
"""
djd_start = pytz.utc.localize(dt.datetime(1899, 12, 31, 12))
utc_time = djd_start + dt.timedelta(days=djd)
return utc_time.astimezone(pytz.timezone(tz))
def _pandas_to_doy(pd_object):
"""
Finds the day of year for a pandas datetime-like object.
Useful for delayed evaluation of the dayofyear attribute.
Parameters
----------
pd_object : DatetimeIndex or Timestamp
Returns
-------
dayofyear
"""
return pd_object.dayofyear
def _doy_to_datetimeindex(doy, epoch_year=2014):
"""
Convert a day of year scalar or array to a pd.DatetimeIndex.
Parameters
----------
doy : numeric
Contains days of the year
Returns
-------
pd.DatetimeIndex
"""
doy = np.atleast_1d(doy).astype('float')
epoch = pd.Timestamp('{}-12-31'.format(epoch_year - 1))
timestamps = [epoch + dt.timedelta(days=adoy) for adoy in doy]
return pd.DatetimeIndex(timestamps)
def _datetimelike_scalar_to_doy(time):
return pd.DatetimeIndex([pd.Timestamp(time)]).dayofyear
def _datetimelike_scalar_to_datetimeindex(time):
return pd.DatetimeIndex([pd.Timestamp(time)])
def _scalar_out(arg):
if np.isscalar(arg):
output = arg
else: #
# works if it's a 1 length array and
# will throw a ValueError otherwise
output = np.asarray(arg).item()
return output
def _array_out(arg):
if isinstance(arg, pd.Series):
output = arg.values
else:
output = arg
return output
def _build_kwargs(keys, input_dict):
"""
Parameters
----------
keys : iterable
Typically a list of strings.
input_dict : dict-like
A dictionary from which to attempt to pull each key.
Returns
-------
kwargs : dict
A dictionary with only the keys that were in input_dict
"""
kwargs = {}
for key in keys:
try:
kwargs[key] = input_dict[key]
except KeyError:
pass
return kwargs
def _build_args(keys, input_dict, dict_name):
"""
Parameters
----------
keys : iterable
Typically a list of strings.
input_dict : dict-like
A dictionary from which to pull each key.
dict_name : str
A variable name to include in an error message for missing keys
Returns
-------
kwargs : list
A list with values corresponding to keys
"""
try:
args = [input_dict[key] for key in keys]
except KeyError as e:
missing_key = e.args[0]
msg = (f"Missing required parameter '{missing_key}'. Found "
f"{input_dict} in {dict_name}.")
raise KeyError(msg)
return args
# Created April,2014
# Author: Rob Andrews, Calama Consulting
# Modified: November, 2020 by C. W. Hansen, to add atol and change exit
# criteria
def _golden_sect_DataFrame(params, lower, upper, func, atol=1e-8):
"""
Vectorized golden section search for finding maximum of a function of a
single variable.
Parameters
----------
params : dict of numeric
Parameters to be passed to `func`. Each entry must be of the same
length.
lower: numeric
Lower bound for the optimization. Must be the same length as each
entry of params.
upper: numeric
Upper bound for the optimization. Must be the same length as each
entry of params.
func: function
Function to be optimized. Must be in the form
result = f(dict or DataFrame, str), where result is a dict or DataFrame
that also contains the function output, and str is the key
corresponding to the function's input variable.
Returns
-------
numeric
function evaluated at the optimal points
numeric
optimal points
Notes
-----
This function will find the points where the function is maximized.
Returns nan where lower or upper is nan, or where func evaluates to nan.
See also
--------
pvlib.singlediode._pwr_optfcn
"""
phim1 = (np.sqrt(5) - 1) / 2
df = params
df['VH'] = upper
df['VL'] = lower
converged = False
iterations = 0
# handle all NaN case gracefully
with warnings.catch_warnings():
warnings.filterwarnings(action='ignore',
message='All-NaN slice encountered')
iterlimit = 1 + np.nanmax(
np.trunc(np.log(atol / (df['VH'] - df['VL'])) / np.log(phim1)))
while not converged and (iterations <= iterlimit):
phi = phim1 * (df['VH'] - df['VL'])
df['V1'] = df['VL'] + phi
df['V2'] = df['VH'] - phi
df['f1'] = func(df, 'V1')
df['f2'] = func(df, 'V2')
df['SW_Flag'] = df['f1'] > df['f2']
df['VL'] = df['V2']*df['SW_Flag'] + df['VL']*(~df['SW_Flag'])
df['VH'] = df['V1']*~df['SW_Flag'] + df['VH']*(df['SW_Flag'])
err = abs(df['V2'] - df['V1'])
# works with single value because err is np.float64
converged = (err[~np.isnan(err)] < atol).all()
# err will be less than atol before iterations hit the limit
# but just to be safe
iterations += 1
if iterations > iterlimit:
raise Exception("Iterations exceeded maximum. Check that func",
" is not NaN in (lower, upper)") # pragma: no cover
try:
func_result = func(df, 'V1')
x = np.where(np.isnan(func_result), np.nan, df['V1'])
except KeyError:
func_result = np.full_like(upper, np.nan)
x = func_result.copy()
return func_result, x
def _get_sample_intervals(times, win_length):
""" Calculates time interval and samples per window for Reno-style clear
sky detection functions
"""
deltas = np.diff(times.values) / np.timedelta64(1, '60s')
# determine if we can proceed
if times.inferred_freq and len(np.unique(deltas)) == 1:
sample_interval = times[1] - times[0]
sample_interval = sample_interval.seconds / 60 # in minutes
samples_per_window = int(win_length / sample_interval)
return sample_interval, samples_per_window
else:
message = (
'algorithm does not yet support unequal time intervals. consider '
'resampling your data and checking for gaps from missing '
'periods, leap days, etc.'
)
raise NotImplementedError(message)
def _degrees_to_index(degrees, coordinate):
"""Transform input degrees to an output index integer.
Specify a degree value and either 'latitude' or 'longitude' to get
the appropriate index number for these two index numbers.
Parameters
----------
degrees : float or int
Degrees of either latitude or longitude.
coordinate : string
Specify whether degrees arg is latitude or longitude. Must be set to
either 'latitude' or 'longitude' or an error will be raised.
Returns
-------
index : np.int16
The latitude or longitude index number to use when looking up values
in the Linke turbidity lookup table.
"""
# Assign inputmin, inputmax, and outputmax based on degree type.
if coordinate == 'latitude':
inputmin = 90
inputmax = -90
outputmax = 2160
elif coordinate == 'longitude':
inputmin = -180
inputmax = 180
outputmax = 4320
else:
raise IndexError("coordinate must be 'latitude' or 'longitude'.")
inputrange = inputmax - inputmin
scale = outputmax/inputrange # number of indices per degree
center = inputmin + 1 / scale / 2 # shift to center of index
outputmax -= 1 # shift index to zero indexing
index = (degrees - center) * scale
err = IndexError('Input, %g, is out of range (%g, %g).' %
(degrees, inputmin, inputmax))
# If the index is still out of bounds after rounding, raise an error.
# 0.500001 is used in comparisons instead of 0.5 to allow for a small
# margin of error which can occur when dealing with floating point numbers.
if index > outputmax:
if index - outputmax <= 0.500001:
index = outputmax
else:
raise err
elif index < 0:
if -index <= 0.500001:
index = 0
else:
raise err
# If the index wasn't set to outputmax or 0, round it and cast it as an
# integer so it can be used in integer-based indexing.
else:
index = int(np.around(index))
return index