web/lib/django/contrib/gis/measure.py
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# Copyright (c) 2007, Robert Coup <robert.coup@onetrackmind.co.nz>
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# All rights reserved.
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#
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# Redistribution and use in source and binary forms, with or without modification,
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# are permitted provided that the following conditions are met:
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#
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#   1. Redistributions of source code must retain the above copyright notice,
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#      this list of conditions and the following disclaimer.
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#
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#   2. Redistributions in binary form must reproduce the above copyright
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#      notice, this list of conditions and the following disclaimer in the
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#      documentation and/or other materials provided with the distribution.
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#
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#   3. Neither the name of Distance nor the names of its contributors may be used
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#      to endorse or promote products derived from this software without
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#      specific prior written permission.
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#
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# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
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# ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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# WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
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# DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
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# ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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# (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
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# ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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#
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"""
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Distance and Area objects to allow for sensible and convienient calculation
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and conversions.
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Authors: Robert Coup, Justin Bronn
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Inspired by GeoPy (http://exogen.case.edu/projects/geopy/)
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and Geoff Biggs' PhD work on dimensioned units for robotics.
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"""
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__all__ = ['A', 'Area', 'D', 'Distance']
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from decimal import Decimal
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class MeasureBase(object):
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    def default_units(self, kwargs):
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        """
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        Return the unit value and the default units specified
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        from the given keyword arguments dictionary.
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        """
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        val = 0.0
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        for unit, value in kwargs.iteritems():
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            if not isinstance(value, float): value = float(value)
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            if unit in self.UNITS:
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                val += self.UNITS[unit] * value
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                default_unit = unit
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            elif unit in self.ALIAS:
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                u = self.ALIAS[unit]
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                val += self.UNITS[u] * value
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                default_unit = u
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            else:
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                lower = unit.lower()
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                if lower in self.UNITS:
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                    val += self.UNITS[lower] * value
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                    default_unit = lower
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                elif lower in self.LALIAS:
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                    u = self.LALIAS[lower]
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                    val += self.UNITS[u] * value
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                    default_unit = u
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                else:
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                    raise AttributeError('Unknown unit type: %s' % unit)
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        return val, default_unit
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    @classmethod
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    def unit_attname(cls, unit_str):
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        """
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        Retrieves the unit attribute name for the given unit string.
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        For example, if the given unit string is 'metre', 'm' would be returned.
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        An exception is raised if an attribute cannot be found.
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        """
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        lower = unit_str.lower()
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        if unit_str in cls.UNITS:
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            return unit_str
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        elif lower in cls.UNITS:
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            return lower
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        elif lower in cls.LALIAS:
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            return cls.LALIAS[lower]
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        else:
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            raise Exception('Could not find a unit keyword associated with "%s"' % unit_str)
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class Distance(MeasureBase):
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    UNITS = {
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        'chain' : 20.1168,
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        'chain_benoit' : 20.116782,
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        'chain_sears' : 20.1167645,
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        'british_chain_benoit' : 20.1167824944,
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        'british_chain_sears' : 20.1167651216,
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        'british_chain_sears_truncated' : 20.116756,
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        'cm' : 0.01,
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        'british_ft' : 0.304799471539,
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        'british_yd' : 0.914398414616,
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        'clarke_ft' : 0.3047972654,
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        'clarke_link' : 0.201166195164,
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        'fathom' :  1.8288,
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        'ft': 0.3048,
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        'german_m' : 1.0000135965,
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        'gold_coast_ft' : 0.304799710181508,
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        'indian_yd' : 0.914398530744,
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        'inch' : 0.0254,
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        'km': 1000.0,
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        'link' : 0.201168,
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        'link_benoit' : 0.20116782,
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        'link_sears' : 0.20116765,
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        'm': 1.0,
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        'mi': 1609.344,
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        'mm' : 0.001,
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        'nm': 1852.0,
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        'nm_uk' : 1853.184,
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        'rod' : 5.0292,
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        'sears_yd' : 0.91439841,
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        'survey_ft' : 0.304800609601,
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        'um' : 0.000001,
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        'yd': 0.9144,
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        }
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    # Unit aliases for `UNIT` terms encountered in Spatial Reference WKT.
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    ALIAS = {
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        'centimeter' : 'cm',
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        'foot' : 'ft',
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        'inches' : 'inch',
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        'kilometer' : 'km',
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        'kilometre' : 'km',
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        'meter' : 'm',
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        'metre' : 'm',
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        'micrometer' : 'um',
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        'micrometre' : 'um',
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        'millimeter' : 'mm',
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        'millimetre' : 'mm',
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        'mile' : 'mi',
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        'yard' : 'yd',
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        'British chain (Benoit 1895 B)' : 'british_chain_benoit',
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        'British chain (Sears 1922)' : 'british_chain_sears',
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        'British chain (Sears 1922 truncated)' : 'british_chain_sears_truncated',
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        'British foot (Sears 1922)' : 'british_ft',
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        'British foot' : 'british_ft',
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        'British yard (Sears 1922)' : 'british_yd',
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        'British yard' : 'british_yd',
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        "Clarke's Foot" : 'clarke_ft',
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        "Clarke's link" : 'clarke_link',
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        'Chain (Benoit)' : 'chain_benoit',
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        'Chain (Sears)' : 'chain_sears',
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        'Foot (International)' : 'ft',
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        'German legal metre' : 'german_m',
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        'Gold Coast foot' : 'gold_coast_ft',
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        'Indian yard' : 'indian_yd',
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        'Link (Benoit)': 'link_benoit',
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        'Link (Sears)': 'link_sears',
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        'Nautical Mile' : 'nm',
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        'Nautical Mile (UK)' : 'nm_uk',
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        'US survey foot' : 'survey_ft',
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        'U.S. Foot' : 'survey_ft',
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        'Yard (Indian)' : 'indian_yd',
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        'Yard (Sears)' : 'sears_yd'
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        }
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    LALIAS = dict([(k.lower(), v) for k, v in ALIAS.items()])
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    def __init__(self, default_unit=None, **kwargs):
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        # The base unit is in meters.
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        self.m, self._default_unit = self.default_units(kwargs)
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        if default_unit and isinstance(default_unit, str):
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            self._default_unit = default_unit
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    def __getattr__(self, name):
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        if name in self.UNITS:
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            return self.m / self.UNITS[name]
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        else:
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            raise AttributeError('Unknown unit type: %s' % name)
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    def __repr__(self):
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        return 'Distance(%s=%s)' % (self._default_unit, getattr(self, self._default_unit))
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    def __str__(self):
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        return '%s %s' % (getattr(self, self._default_unit), self._default_unit)
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    def __cmp__(self, other):
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        if isinstance(other, Distance):
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            return cmp(self.m, other.m)
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        else:
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            return NotImplemented
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    def __add__(self, other):
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        if isinstance(other, Distance):
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            return Distance(default_unit=self._default_unit, m=(self.m + other.m))
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        else:
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            raise TypeError('Distance must be added with Distance')
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    def __iadd__(self, other):
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        if isinstance(other, Distance):
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            self.m += other.m
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            return self
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        else:
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            raise TypeError('Distance must be added with Distance')
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    def __sub__(self, other):
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        if isinstance(other, Distance):
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            return Distance(default_unit=self._default_unit, m=(self.m - other.m))
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        else:
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            raise TypeError('Distance must be subtracted from Distance')
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    def __isub__(self, other):
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        if isinstance(other, Distance):
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            self.m -= other.m
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            return self
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        else:
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            raise TypeError('Distance must be subtracted from Distance')
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    def __mul__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            return Distance(default_unit=self._default_unit, m=(self.m * float(other)))
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        elif isinstance(other, Distance):
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            return Area(default_unit='sq_' + self._default_unit, sq_m=(self.m * other.m))
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        else:
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            raise TypeError('Distance must be multiplied with number or Distance')
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    def __imul__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            self.m *= float(other)
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            return self
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        else:
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            raise TypeError('Distance must be multiplied with number')
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    def __rmul__(self, other):
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        return self * other
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    def __div__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            return Distance(default_unit=self._default_unit, m=(self.m / float(other)))
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        else:
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            raise TypeError('Distance must be divided with number')
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    def __idiv__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            self.m /= float(other)
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            return self
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        else:
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            raise TypeError('Distance must be divided with number')
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    def __nonzero__(self):
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        return bool(self.m)
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class Area(MeasureBase):
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    # Getting the square units values and the alias dictionary.
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    UNITS = dict([('sq_%s' % k, v ** 2) for k, v in Distance.UNITS.items()])
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    ALIAS = dict([(k, 'sq_%s' % v) for k, v in Distance.ALIAS.items()])
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    LALIAS = dict([(k.lower(), v) for k, v in ALIAS.items()])
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    def __init__(self, default_unit=None, **kwargs):
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        self.sq_m, self._default_unit = self.default_units(kwargs)
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        if default_unit and isinstance(default_unit, str):
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            self._default_unit = default_unit
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    def __getattr__(self, name):
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        if name in self.UNITS:
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            return self.sq_m / self.UNITS[name]
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        else:
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            raise AttributeError('Unknown unit type: ' + name)
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    def __repr__(self):
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        return 'Area(%s=%s)' % (self._default_unit, getattr(self, self._default_unit))
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    def __str__(self):
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        return '%s %s' % (getattr(self, self._default_unit), self._default_unit)
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    def __cmp__(self, other):
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        if isinstance(other, Area):
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            return cmp(self.sq_m, other.sq_m)
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        else:
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            return NotImplemented
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    def __add__(self, other):
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        if isinstance(other, Area):
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            return Area(default_unit=self._default_unit, sq_m=(self.sq_m + other.sq_m))
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        else:
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            raise TypeError('Area must be added with Area')
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    def __iadd__(self, other):
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        if isinstance(other, Area):
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            self.sq_m += other.sq_m
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            return self
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        else:
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            raise TypeError('Area must be added with Area')
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    def __sub__(self, other):
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        if isinstance(other, Area):
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            return Area(default_unit=self._default_unit, sq_m=(self.sq_m - other.sq_m))
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        else:
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            raise TypeError('Area must be subtracted from Area')
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    def __isub__(self, other):
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        if isinstance(other, Area):
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            self.sq_m -= other.sq_m
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            return self
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        else:
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            raise TypeError('Area must be subtracted from Area')
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    def __mul__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            return Area(default_unit=self._default_unit, sq_m=(self.sq_m * float(other)))
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        else:
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            raise TypeError('Area must be multiplied with number')
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    def __imul__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            self.sq_m *= float(other)
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            return self
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        else:
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            raise TypeError('Area must be multiplied with number')
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    def __rmul__(self, other):
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        return self * other
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    def __div__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            return Area(default_unit=self._default_unit, sq_m=(self.sq_m / float(other)))
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        else:
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            raise TypeError('Area must be divided with number')
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    def __idiv__(self, other):
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        if isinstance(other, (int, float, long, Decimal)):
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            self.sq_m /= float(other)
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            return self
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        else:
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            raise TypeError('Area must be divided with number')
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    def __nonzero__(self):
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        return bool(self.sq_m)
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# Shortcuts
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D = Distance
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A = Area