diff --git a/docs/sphinx/source/whatsnew/v0.4.0.txt b/docs/sphinx/source/whatsnew/v0.4.0.txt index 600c25d55a..258a0f84a6 100644 --- a/docs/sphinx/source/whatsnew/v0.4.0.txt +++ b/docs/sphinx/source/whatsnew/v0.4.0.txt @@ -19,6 +19,9 @@ API Changes in addition to arrays and Series. Furthermore, these functions no longer promote scalar or array input to Series output. Also applies to atmosphere.relativeairmass. (:issue:`201`, :issue:`214`) +* The irradiance.extraradiation function input/output type consistency + across different methods has been dramatically improved. + (:issue:`217`, :issue:`219`) * Updated to pvsystem.sapm to be consistent with the PVLIB MATLAB API. pvsystem.sapm now takes an effective irradiance argument instead of POA irradiances, airmass, and AOI. Implements closely related @@ -60,6 +63,7 @@ Documentation * Added new terms to the variables documentation. (:issue:`195`) * Added clear sky documentation page. * Fix documentation build warnings. (:issue:`210`) +* Removed an unneeded note in irradiance.extraradiation. (:issue:`216`) Other diff --git a/docs/tutorials/irradiance.ipynb b/docs/tutorials/irradiance.ipynb index 7d7819c557..0a34a9bd2d 100644 --- a/docs/tutorials/irradiance.ipynb +++ b/docs/tutorials/irradiance.ipynb @@ -14,15 +14,15 @@ "This tutorial explores some of the functions available in the ``pvlib`` module ``irradiance.py``.\n", "\n", "This tutorial is known to work with the following package versions:\n", - "* pvlib 0.3.0\n", + "* pvlib 0.4.0\n", "* Python 3.5.1\n", - "* IPython 3.2\n", + "* IPython 5.0\n", "* pandas 0.18.0\n", "\n", - "It should work with other Python and Pandas versions. It requires pvlib >= 0.3.0 and IPython >= 3.0.\n", + "It should work with other Python and Pandas versions. It requires pvlib >= 0.5.0 and IPython >= 3.0.\n", "\n", "Authors:\n", - "* Will Holmgren (@wholmgren), University of Arizona. July 2014, April 2015, July 2015, March 2016." + "* Will Holmgren (@wholmgren), University of Arizona. July 2014, April 2015, July 2015, March 2016, July 2016." ] }, { @@ -81,7 +81,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Many solar power algorithms start with the irradiance incident on the top of the Earth's atmosphere, often known as the extraterrestrial radiation. ``pvlib`` has four different algorithms to calculate the yearly cycle of the extraterrestrial radiation given the solar constant." + "Many solar power algorithms start with the irradiance incident on the top of the Earth's atmosphere, often known as the extraterrestrial radiation. ``pvlib`` has four different algorithms to calculate the yearly cycle of the extraterrestrial radiation given the solar constant. As of pvlib 0.4, each method can accept many different input types (day of year, arrays of day of year, datetimes, DatetimeIndex, etc.) and will consistently return the appropriate output type." ] }, { @@ -92,26 +92,18 @@ }, "outputs": [], "source": [ - "times = pd.date_range('2014-01-01', '2015-01-01', freq='1h')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "spencer = pd.Series(pvlib.irradiance.extraradiation(times, method='spencer'), times)\n", - "asce = pd.Series(pvlib.irradiance.extraradiation(times, method='asce'), times)\n", + "# DatetimeIndex in yields a TimeSeries out\n", + "times = pd.date_range('2014-01-01', '2015-01-01', freq='1h')\n", + "\n", + "spencer = pvlib.irradiance.extraradiation(times, method='spencer')\n", + "asce = pvlib.irradiance.extraradiation(times, method='asce')\n", "ephem = pvlib.irradiance.extraradiation(times, method='pyephem') \n", "nrel = pvlib.irradiance.extraradiation(times, method='nrel')" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -119,10 +111,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, @@ -130,7 +122,7 @@ "data": { "image/png": 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s7hh2E2H6UBpszeQ25PFB0cccbzzRdUzW3IlccWU6QV4rhWYj/cvLuWZsHAAf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\n3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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -155,7 +147,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -163,10 +155,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, @@ -174,7 +166,7 @@ "data": { "image/png": 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Gd6S926Pgo3UHcKLOfGOpiIjIfHyz0JNibeifnWRwGmoJXxqZyHm903Be7zQs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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -187,6 +179,13 @@ "plt.ylabel('spencer-ephem (W/m**2)')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The intraday squiggles are due to the fact that the asce and spencer methods will cast a DatetimeIndex into integer days of year, while the pyephem and nrel methods also use the time of day." + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -196,7 +195,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -204,10 +203,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, @@ -215,7 +214,7 @@ "data": { "image/png": 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v6xUoMHqWmp7Per58i8CdWRU5OIjXAYx3I83yd3onq1BiSYvojvVYz0vL+NVg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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -232,12 +231,12 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "You can also control the solar constant." + "You can also control the solar constant. Recent literature suggests that the solar constant is 1361 $W/m^2$ rather than the commonly accepted 1367 $W/m^2$." ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -245,18 +244,18 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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883OprKzo0NxXwuI2/SkwFVNeawY0vyz9rkGjOXuk0bSewUprhd7aQcWkQgghhBDicv75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\nB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OwszY4LKv3aJt4euU7ziUe/S844sGz8XXyhtH075Z4tne3rxbriOd8T5wnc9M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\nAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -264,10 +263,10 @@ } ], "source": [ - "spencer_1400 = pd.Series(pvlib.irradiance.extraradiation(times, method='spencer', solar_constant=1400), times)\n", + "spencer_1361 = pd.Series(pvlib.irradiance.extraradiation(times, method='spencer', solar_constant=1361), times)\n", "\n", - "spencer.plot(label='default')\n", - "spencer_1400.plot(label='1400')\n", + "spencer.plot(label='default 1366.7')\n", + "spencer_1361.plot(label='1361')\n", "plt.legend()\n", "plt.title('Impact of solar constant')\n", "plt.ylabel('ET Irradiance (W/m^2)')" @@ -282,7 +281,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": { "collapsed": true }, @@ -293,7 +292,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -302,23 +301,114 @@ "name": "stdout", "output_type": "stream", "text": [ - "10 loops, best of 3: 47.1 ms per loop\n", - "10 loops, best of 3: 29.2 ms per loop\n", - "1 loop, best of 3: 8.66 s per loop\n", - "1 loop, best of 3: 963 ms per loop\n", - "The slowest run took 13.88 times longer than the fastest. This could mean that an intermediate result is being cached.\n", - "1 loop, best of 3: 223 ms per loop\n" + "10 loops, best of 3: 170 ms per loop\n", + "10 loops, best of 3: 83.9 ms per loop\n", + "1 loop, best of 3: 20.1 s per loop\n", + "1 loop, best of 3: 4.72 s per loop\n", + "The slowest run took 6.63 times longer than the fastest. This could mean that an intermediate result is being cached.\n", + "1 loop, best of 3: 937 ms per loop\n" ] } ], "source": [ - "%timeit spencer = pd.Series(pvlib.irradiance.extraradiation(times, method='spencer'), times)\n", - "%timeit asce = pd.Series(pvlib.irradiance.extraradiation(times, method='asce'), times)\n", + "%timeit spencer = pvlib.irradiance.extraradiation(times, method='spencer')\n", + "%timeit asce = pvlib.irradiance.extraradiation(times, method='asce')\n", "%timeit ephem = pvlib.irradiance.extraradiation(times, method='pyephem')\n", "%timeit nrel = pvlib.irradiance.extraradiation(times, method='nrel')\n", "%timeit nrel = pvlib.irradiance.extraradiation(times, method='nrel', how='numba')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In addition to DatetimeIndex input, the methods also work for various scalar datetime-like formats as well as scalar and array day of year input." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2016-10-26 00:00:00 spencer 1383.6362029\n", + "2016-10-26 00:00:00 asce 1385.08377469\n", + "2016-10-26 00:00:00 pyephem 1382.3920240844304\n", + "2016-10-26 00:00:00 nrel 1382.3912017480877\n", + "2016-10-26 spencer 1383.6362028955045\n", + "2016-10-26 asce 1385.0837746866198\n", + "2016-10-26 pyephem 1382.3920240844304\n", + "2016-10-26 nrel 1382.3912017480877\n", + "300 spencer 1383.6362029\n", + "300 asce 1385.08377469\n", + "300 pyephem 1382.618664623793\n", + "300 nrel 1382.6174658748046\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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5rNt9Hl8vPQvu7MCWQ++jOdkFq8aTxGAjEx+987sl9URbJv+HWzh/gx9PJv8X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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "methods = ['spencer', 'asce', 'pyephem', 'nrel']\n", + "\n", + "# pandas timestamp input\n", + "times = pd.Timestamp('20161026')\n", + "for method in methods:\n", + " dni_extra = pvlib.irradiance.extraradiation(times, method=method)\n", + " assert isinstance(dni_extra, float)\n", + " print(times, method, dni_extra)\n", + " \n", + " \n", + "# date input\n", + "times = datetime.date(2016, 10, 26)\n", + "for method in methods:\n", + " dni_extra = pvlib.irradiance.extraradiation(times, method=method)\n", + " assert isinstance(dni_extra, float)\n", + " print(times, method, dni_extra)\n", + " \n", + " \n", + "# integer doy input\n", + "times = 300\n", + "for method in methods:\n", + " dni_extra = pvlib.irradiance.extraradiation(times, method=method)\n", + " assert isinstance(dni_extra, float)\n", + " print(times, method, dni_extra)\n", + " \n", + " \n", + "# array doy input\n", + "times = np.arange(1, 366)\n", + "for method in methods:\n", + " dni_extra = pvlib.irradiance.extraradiation(times, method=method)\n", + " assert isinstance(dni_extra, np.ndarray)\n", + " plt.plot(times, dni_extra, label=method)\n", + " \n", + "plt.legend()\n", + "plt.ylabel('Extraterrestrial radiation (W/m^2)')" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -2460,21 +2550,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 2", + "display_name": "Python 3", "language": "python", - "name": "python2" + "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", - "version": 2 + "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.11" + "pygments_lexer": "ipython3", + "version": "3.5.2" } }, "nbformat": 4, diff --git a/pvlib/irradiance.py b/pvlib/irradiance.py index d6ff7af81a..0e4bc27e41 100644 --- a/pvlib/irradiance.py +++ b/pvlib/irradiance.py @@ -10,6 +10,7 @@ import datetime from collections import OrderedDict +from functools import partial import numpy as np import pandas as pd @@ -36,15 +37,15 @@ def extraradiation(datetime_or_doy, solar_constant=1366.1, method='spencer', - **kwargs): + epoch_year=2014, **kwargs): """ Determine extraterrestrial radiation from day of year. Parameters ---------- - datetime_or_doy : int, float, array, pd.DatetimeIndex - Day of year, array of days of year e.g. - pd.DatetimeIndex.dayofyear, or pd.DatetimeIndex. + datetime_or_doy : int, float, array, date, datetime, datetime64, + Timestamp, DatetimeIndex + Day of year, array of days of year, or datetime-like object solar_constant : float The solar constant. @@ -53,6 +54,11 @@ def extraradiation(datetime_or_doy, solar_constant=1366.1, method='spencer', The method by which the ET radiation should be calculated. Options include ``'pyephem', 'spencer', 'asce', 'nrel'``. + epoch_year : int + The year in which a day of year input will be calculated. Only + applies to day of year input used with the pyephem or nrel + methods. + kwargs : Passed to solarposition.nrel_earthsun_distance @@ -60,15 +66,9 @@ def extraradiation(datetime_or_doy, solar_constant=1366.1, method='spencer', ------- dni_extra : float, array, or Series The extraterrestrial radiation present in watts per square meter - on a surface which is normal to the sun. Ea is of the same size - as the input doy. - - 'pyephem' and 'nrel' always return a Series. - - Notes - ----- - The Spencer method contains a minus sign discrepancy between - equation 12 of [1]. It's unclear what the correct formula is. + on a surface which is normal to the sun. Pandas Timestamp and + DatetimeIndex inputs will yield a Pandas TimeSeries. All other + inputs will yield a float or an array of floats. References ---------- @@ -76,51 +76,61 @@ def extraradiation(datetime_or_doy, solar_constant=1366.1, method='spencer', Clear Sky Models: Implementation and Analysis", Sandia National Laboratories, SAND2012-2389, 2012. - [2] , - Eqs. SR1 and SR2 - - [3] Partridge, G. W. and Platt, C. M. R. 1976. - Radiative Processes in Meteorology and Climatology. + [2] , Eqs. + SR1 and SR2 - [4] Duffie, J. A. and Beckman, W. A. 1991. - Solar Engineering of Thermal Processes, - 2nd edn. J. Wiley and Sons, New York. + [3] Partridge, G. W. and Platt, C. M. R. 1976. Radiative Processes + in Meteorology and Climatology. - See Also - -------- - pvlib.clearsky.disc + [4] Duffie, J. A. and Beckman, W. A. 1991. Solar Engineering of + Thermal Processes, 2nd edn. J. Wiley and Sons, New York. """ - pvl_logger.debug('irradiance.extraradiation()') - - method = method.lower() - + # This block will set the functions that can be used to convert the + # inputs to either day of year or pandas DatetimeIndex, and the + # functions that will yield the appropriate output type. It's + # complicated because there are many day-of-year-like input types, + # and the different algorithms need different types. Maybe you have + # a better way to do it. if isinstance(datetime_or_doy, pd.DatetimeIndex): - doy = datetime_or_doy.dayofyear - input_to_datetimeindex = lambda x: datetime_or_doy - elif isinstance(datetime_or_doy, (int, float)): - doy = datetime_or_doy - input_to_datetimeindex = _scalar_to_datetimeindex - else: # assume that we have an array-like object of doy. danger? - doy = datetime_or_doy - input_to_datetimeindex = _array_to_datetimeindex - - B = (2. * np.pi / 365.) * (doy - 1) + to_doy = tools._pandas_to_doy # won't be evaluated unless necessary + to_datetimeindex = lambda x: datetime_or_doy + to_output = partial(pd.Series, index=datetime_or_doy) + elif isinstance(datetime_or_doy, pd.Timestamp): + to_doy = tools._pandas_to_doy + to_datetimeindex = \ + tools._datetimelike_scalar_to_datetimeindex + to_output = tools._scalar_out + elif isinstance(datetime_or_doy, + (datetime.date, datetime.datetime, np.datetime64)): + to_doy = tools._datetimelike_scalar_to_doy + to_datetimeindex = \ + tools._datetimelike_scalar_to_datetimeindex + to_output = tools._scalar_out + elif np.isscalar(datetime_or_doy): # ints and floats of various types + to_doy = lambda x: datetime_or_doy + to_datetimeindex = partial(tools._doy_to_datetimeindex, + epoch_year=epoch_year) + to_output = tools._scalar_out + else: # assume that we have an array-like object of doy + to_doy = lambda x: datetime_or_doy + to_datetimeindex = partial(tools._doy_to_datetimeindex, + epoch_year=epoch_year) + to_output = tools._array_out method = method.lower() if method == 'asce': - pvl_logger.debug('Calculating ET rad using ASCE method') + B = solarposition._calculate_simple_day_angle(to_doy(datetime_or_doy)) RoverR0sqrd = 1 + 0.033 * np.cos(B) elif method == 'spencer': - pvl_logger.debug('Calculating ET rad using Spencer method') + B = solarposition._calculate_simple_day_angle(to_doy(datetime_or_doy)) RoverR0sqrd = (1.00011 + 0.034221 * np.cos(B) + 0.00128 * np.sin(B) + 0.000719 * np.cos(2 * B) + 7.7e-05 * np.sin(2 * B)) elif method == 'pyephem': - pvl_logger.debug('Calculating ET rad using pyephem method') - times = input_to_datetimeindex(datetime_or_doy) + times = to_datetimeindex(datetime_or_doy) RoverR0sqrd = solarposition.pyephem_earthsun_distance(times) ** (-2) elif method == 'nrel': - times = input_to_datetimeindex(datetime_or_doy) + times = to_datetimeindex(datetime_or_doy) RoverR0sqrd = \ solarposition.nrel_earthsun_distance(times, **kwargs) ** (-2) else: @@ -128,57 +138,9 @@ def extraradiation(datetime_or_doy, solar_constant=1366.1, method='spencer', Ea = solar_constant * RoverR0sqrd - return Ea - - -def _scalar_to_datetimeindex(doy_scalar): - """ - Convert a scalar day of year number to a pd.DatetimeIndex. + Ea = to_output(Ea) - Parameters - ---------- - doy_array : int or float - Contains days of the year - - Returns - ------- - pd.DatetimeIndex - """ - return pd.DatetimeIndex([_doy_to_timestamp(doy_scalar)]) - - -def _array_to_datetimeindex(doy_array): - """ - Convert an array of day of year numbers to a pd.DatetimeIndex. - - Parameters - ---------- - doy_array : Iterable - Contains days of the year - - Returns - ------- - pd.DatetimeIndex - """ - return pd.DatetimeIndex(list(map(_doy_to_timestamp, doy_array))) - - -def _doy_to_timestamp(doy, epoch='2013-12-31'): - """ - Convert a numeric day of the year to a pd.Timestamp. - - Parameters - ---------- - doy : int or float. - Numeric day of year. - epoch : pd.Timestamp compatible object. - Date to which to add the day of year to. - - Returns - ------- - pd.Timestamp - """ - return pd.Timestamp('2013-12-31') + datetime.timedelta(days=float(doy)) + return Ea def aoi_projection(surface_tilt, surface_azimuth, solar_zenith, solar_azimuth): diff --git a/pvlib/solarposition.py b/pvlib/solarposition.py index 29f91c362d..eb3568a3f8 100644 --- a/pvlib/solarposition.py +++ b/pvlib/solarposition.py @@ -822,3 +822,18 @@ def nrel_earthsun_distance(time, how='numpy', delta_t=None, numthreads=4): R = pd.Series(R, index=time) return R + + +def _calculate_simple_day_angle(dayofyear): + """ + Calculates the day angle for the Earth's orbit around the Sun. + + Parameters + ---------- + dayofyear : numeric + + Returns + ------- + day_angle : numeric + """ + return (2. * np.pi / 365.) * (dayofyear - 1) diff --git a/pvlib/test/test_irradiance.py b/pvlib/test/test_irradiance.py index c3c213f40c..ee0a13a87f 100644 --- a/pvlib/test/test_irradiance.py +++ b/pvlib/test/test_irradiance.py @@ -1,3 +1,4 @@ +import datetime from collections import OrderedDict import numpy as np @@ -32,60 +33,31 @@ ghi = irrad_data['ghi'] -# the test functions. these are almost all functional tests. -# need to add physical tests. - -def test_extraradiation(): - assert_allclose(1382, irradiance.extraradiation(300), atol=10) - - -def test_extraradiation_dtindex(): - irradiance.extraradiation(times) - - -def test_extraradiation_doyarray(): - irradiance.extraradiation(times.dayofyear) - - -def test_extraradiation_asce(): - assert_allclose( - 1382, irradiance.extraradiation(300, method='asce'), atol=10) - - -def test_extraradiation_spencer(): - assert_allclose( - 1382, irradiance.extraradiation(300, method='spencer'), atol=10) - - -@requires_ephem -def test_extraradiation_ephem_dtindex(): - irradiance.extraradiation(times, method='pyephem') - - -@requires_ephem -def test_extraradiation_ephem_scalar(): - assert_allclose( - 1382, irradiance.extraradiation(300, method='pyephem').values[0], - atol=10) - - -@requires_ephem -def test_extraradiation_ephem_doyarray(): - irradiance.extraradiation(times.dayofyear, method='pyephem') - - -def test_extraradiation_nrel_dtindex(): - irradiance.extraradiation(times, method='nrel') - - -def test_extraradiation_nrel_scalar(): - assert_allclose( - 1382, irradiance.extraradiation(300, method='nrel').values[0], - atol=10) - - -def test_extraradiation_nrel_doyarray(): - irradiance.extraradiation(times.dayofyear, method='nrel') +# setup for et rad test. put it here for readability +timestamp = pd.Timestamp('20161026') +dt_index = pd.DatetimeIndex([timestamp]) +doy = timestamp.dayofyear +dt_date = timestamp.date() +dt_datetime = datetime.datetime.combine(dt_date, datetime.time(0)) +dt_np64 = np.datetime64(dt_datetime) +value = 1383.636203 + +@pytest.mark.parametrize('input, expected', [ + (doy, value), + (np.float64(doy), value), + (dt_date, value), + (dt_datetime, value), + (dt_np64, value), + (np.array([doy]), np.array([value])), + (pd.Series([doy]), np.array([value])), + (dt_index, pd.Series([value], index=dt_index)), + (timestamp, value) +]) +@pytest.mark.parametrize('method', [ + 'asce', 'spencer', 'nrel', requires_ephem('pyephem')]) +def test_extraradiation(input, expected, method): + out = irradiance.extraradiation(input) + assert_allclose(out, expected, atol=1) @requires_numba @@ -93,9 +65,14 @@ def test_extraradiation_nrel_numba(): irradiance.extraradiation(times, method='nrel', how='numba', numthreads=8) +def test_extraradiation_epoch_year(): + out = irradiance.extraradiation(doy, method='nrel', epoch_year=2012) + assert_allclose(out, 1382.4926804890767, atol=0.1) + + def test_extraradiation_invalid(): with pytest.raises(ValueError): - irradiance.extraradiation(times.dayofyear, method='invalid') + irradiance.extraradiation(300, method='invalid') def test_grounddiffuse_simple_float(): diff --git a/pvlib/tools.py b/pvlib/tools.py index b1637a2fb7..bab3ab66e0 100644 --- a/pvlib/tools.py +++ b/pvlib/tools.py @@ -1,102 +1,87 @@ """ Collection of functions used in pvlib_python """ + import logging pvl_logger = logging.getLogger('pvlib') import datetime as dt -import pdb -import ast -import re -from six import string_types -import numpy as np +import numpy as np +import pandas as pd import pytz - def cosd(angle): """ Cosine with angle input in degrees Parameters ---------- - angle : float - Angle in degrees + Angle in degrees Returns ------- - result : float - Cosine of the angle + 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 + Angle in degrees Returns ------- - result : float - Sin of the angle + 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 + Angle in degrees Returns ------- - result : float - Tan of the angle + 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 + Input number Returns ------- - result : float - arcsin result - + arcsin result """ res = np.degrees(np.arcsin(number)) @@ -106,13 +91,13 @@ def asind(number): def localize_to_utc(time, location): """ Converts or localizes a time series to UTC. - + Parameters ---------- - time : datetime.datetime, pandas.DatetimeIndex, + time : datetime.datetime, pandas.DatetimeIndex, or pandas.Series/DataFrame with a DatetimeIndex. location : pvlib.Location object - + Returns ------- pandas object localized to UTC. @@ -132,8 +117,7 @@ def localize_to_utc(time, location): time_utc = time.tz_localize(location.tz).tz_convert('UTC') pvl_logger.debug('tz_localize to %s and then tz_convert to UTC', location.tz) - - + return time_utc @@ -143,12 +127,12 @@ def datetime_to_djd(time): Parameters ---------- - time : datetime.datetime + time : datetime.datetime time to convert Returns ------- - float + float fractional days since 12/31/1899+0000 """ @@ -156,7 +140,7 @@ def datetime_to_djd(time): 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) @@ -176,13 +160,75 @@ def djd_to_datetime(djd, tz='UTC'): Returns ------- - datetime.datetime + 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(input): + if np.isscalar(input): + output = input + else: # + # works if it's a 1 length array and + # will throw a ValueError otherwise + output = np.asscalar(input) + + return output + + +def _array_out(input): + if isinstance(input, pd.Series): + output = input.values + else: + output = input + + return output