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venv/Lib/site-packages/django/db/models/functions/math.py
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197
venv/Lib/site-packages/django/db/models/functions/math.py
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import math
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from django.db.models.expressions import Func, Value
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from django.db.models.fields import FloatField, IntegerField
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from django.db.models.functions import Cast
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from django.db.models.functions.mixins import (
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FixDecimalInputMixin, NumericOutputFieldMixin,
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)
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from django.db.models.lookups import Transform
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class Abs(Transform):
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function = 'ABS'
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lookup_name = 'abs'
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class ACos(NumericOutputFieldMixin, Transform):
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function = 'ACOS'
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lookup_name = 'acos'
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class ASin(NumericOutputFieldMixin, Transform):
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function = 'ASIN'
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lookup_name = 'asin'
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class ATan(NumericOutputFieldMixin, Transform):
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function = 'ATAN'
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lookup_name = 'atan'
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class ATan2(NumericOutputFieldMixin, Func):
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function = 'ATAN2'
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arity = 2
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def as_sqlite(self, compiler, connection, **extra_context):
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if not getattr(connection.ops, 'spatialite', False) or connection.ops.spatial_version >= (5, 0, 0):
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return self.as_sql(compiler, connection)
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# This function is usually ATan2(y, x), returning the inverse tangent
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# of y / x, but it's ATan2(x, y) on SpatiaLite < 5.0.0.
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# Cast integers to float to avoid inconsistent/buggy behavior if the
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# arguments are mixed between integer and float or decimal.
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# https://www.gaia-gis.it/fossil/libspatialite/tktview?name=0f72cca3a2
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clone = self.copy()
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clone.set_source_expressions([
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Cast(expression, FloatField()) if isinstance(expression.output_field, IntegerField)
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else expression for expression in self.get_source_expressions()[::-1]
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])
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return clone.as_sql(compiler, connection, **extra_context)
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class Ceil(Transform):
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function = 'CEILING'
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lookup_name = 'ceil'
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def as_oracle(self, compiler, connection, **extra_context):
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return super().as_sql(compiler, connection, function='CEIL', **extra_context)
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class Cos(NumericOutputFieldMixin, Transform):
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function = 'COS'
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lookup_name = 'cos'
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class Cot(NumericOutputFieldMixin, Transform):
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function = 'COT'
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lookup_name = 'cot'
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def as_oracle(self, compiler, connection, **extra_context):
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return super().as_sql(compiler, connection, template='(1 / TAN(%(expressions)s))', **extra_context)
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class Degrees(NumericOutputFieldMixin, Transform):
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function = 'DEGREES'
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lookup_name = 'degrees'
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def as_oracle(self, compiler, connection, **extra_context):
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return super().as_sql(
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compiler, connection,
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template='((%%(expressions)s) * 180 / %s)' % math.pi,
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**extra_context
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)
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class Exp(NumericOutputFieldMixin, Transform):
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function = 'EXP'
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lookup_name = 'exp'
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class Floor(Transform):
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function = 'FLOOR'
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lookup_name = 'floor'
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class Ln(NumericOutputFieldMixin, Transform):
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function = 'LN'
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lookup_name = 'ln'
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class Log(FixDecimalInputMixin, NumericOutputFieldMixin, Func):
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function = 'LOG'
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arity = 2
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def as_sqlite(self, compiler, connection, **extra_context):
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if not getattr(connection.ops, 'spatialite', False):
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return self.as_sql(compiler, connection)
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# This function is usually Log(b, x) returning the logarithm of x to
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# the base b, but on SpatiaLite it's Log(x, b).
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clone = self.copy()
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clone.set_source_expressions(self.get_source_expressions()[::-1])
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return clone.as_sql(compiler, connection, **extra_context)
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class Mod(FixDecimalInputMixin, NumericOutputFieldMixin, Func):
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function = 'MOD'
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arity = 2
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class Pi(NumericOutputFieldMixin, Func):
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function = 'PI'
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arity = 0
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def as_oracle(self, compiler, connection, **extra_context):
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return super().as_sql(compiler, connection, template=str(math.pi), **extra_context)
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class Power(NumericOutputFieldMixin, Func):
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function = 'POWER'
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arity = 2
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class Radians(NumericOutputFieldMixin, Transform):
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function = 'RADIANS'
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lookup_name = 'radians'
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def as_oracle(self, compiler, connection, **extra_context):
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return super().as_sql(
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compiler, connection,
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template='((%%(expressions)s) * %s / 180)' % math.pi,
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**extra_context
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)
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class Random(NumericOutputFieldMixin, Func):
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function = 'RANDOM'
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arity = 0
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def as_mysql(self, compiler, connection, **extra_context):
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return super().as_sql(compiler, connection, function='RAND', **extra_context)
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def as_oracle(self, compiler, connection, **extra_context):
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return super().as_sql(compiler, connection, function='DBMS_RANDOM.VALUE', **extra_context)
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def as_sqlite(self, compiler, connection, **extra_context):
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return super().as_sql(compiler, connection, function='RAND', **extra_context)
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def get_group_by_cols(self, alias=None):
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return []
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class Round(FixDecimalInputMixin, Transform):
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function = 'ROUND'
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lookup_name = 'round'
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arity = None # Override Transform's arity=1 to enable passing precision.
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def __init__(self, expression, precision=0, **extra):
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super().__init__(expression, precision, **extra)
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def as_sqlite(self, compiler, connection, **extra_context):
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precision = self.get_source_expressions()[1]
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if isinstance(precision, Value) and precision.value < 0:
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raise ValueError('SQLite does not support negative precision.')
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return super().as_sqlite(compiler, connection, **extra_context)
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def _resolve_output_field(self):
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source = self.get_source_expressions()[0]
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return source.output_field
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class Sign(Transform):
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function = 'SIGN'
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lookup_name = 'sign'
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class Sin(NumericOutputFieldMixin, Transform):
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function = 'SIN'
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lookup_name = 'sin'
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class Sqrt(NumericOutputFieldMixin, Transform):
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function = 'SQRT'
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lookup_name = 'sqrt'
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class Tan(NumericOutputFieldMixin, Transform):
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function = 'TAN'
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lookup_name = 'tan'
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