Initial commit. Basic models mostly done.

venv/lib/python3.8/site-packages/django/db/models/functions/math.py

@@ -0,0 +1,166 @@
+import math
+
+from django.db.models.expressions import Func
+from django.db.models.fields import FloatField, IntegerField
+from django.db.models.functions import Cast
+from django.db.models.functions.mixins import (
+    FixDecimalInputMixin, NumericOutputFieldMixin,
+)
+from django.db.models.lookups import Transform
+
+
+class Abs(Transform):
+    function = 'ABS'
+    lookup_name = 'abs'
+
+
+class ACos(NumericOutputFieldMixin, Transform):
+    function = 'ACOS'
+    lookup_name = 'acos'
+
+
+class ASin(NumericOutputFieldMixin, Transform):
+    function = 'ASIN'
+    lookup_name = 'asin'
+
+
+class ATan(NumericOutputFieldMixin, Transform):
+    function = 'ATAN'
+    lookup_name = 'atan'
+
+
+class ATan2(NumericOutputFieldMixin, Func):
+    function = 'ATAN2'
+    arity = 2
+
+    def as_sqlite(self, compiler, connection, **extra_context):
+        if not getattr(connection.ops, 'spatialite', False) or connection.ops.spatial_version >= (5, 0, 0):
+            return self.as_sql(compiler, connection)
+        # This function is usually ATan2(y, x), returning the inverse tangent
+        # of y / x, but it's ATan2(x, y) on SpatiaLite < 5.0.0.
+        # Cast integers to float to avoid inconsistent/buggy behavior if the
+        # arguments are mixed between integer and float or decimal.
+        # https://www.gaia-gis.it/fossil/libspatialite/tktview?name=0f72cca3a2
+        clone = self.copy()
+        clone.set_source_expressions([
+            Cast(expression, FloatField()) if isinstance(expression.output_field, IntegerField)
+            else expression for expression in self.get_source_expressions()[::-1]
+        ])
+        return clone.as_sql(compiler, connection, **extra_context)
+
+
+class Ceil(Transform):
+    function = 'CEILING'
+    lookup_name = 'ceil'
+
+    def as_oracle(self, compiler, connection, **extra_context):
+        return super().as_sql(compiler, connection, function='CEIL', **extra_context)
+
+
+class Cos(NumericOutputFieldMixin, Transform):
+    function = 'COS'
+    lookup_name = 'cos'
+
+
+class Cot(NumericOutputFieldMixin, Transform):
+    function = 'COT'
+    lookup_name = 'cot'
+
+    def as_oracle(self, compiler, connection, **extra_context):
+        return super().as_sql(compiler, connection, template='(1 / TAN(%(expressions)s))', **extra_context)
+
+
+class Degrees(NumericOutputFieldMixin, Transform):
+    function = 'DEGREES'
+    lookup_name = 'degrees'
+
+    def as_oracle(self, compiler, connection, **extra_context):
+        return super().as_sql(
+            compiler, connection,
+            template='((%%(expressions)s) * 180 / %s)' % math.pi,
+            **extra_context
+        )
+
+
+class Exp(NumericOutputFieldMixin, Transform):
+    function = 'EXP'
+    lookup_name = 'exp'
+
+
+class Floor(Transform):
+    function = 'FLOOR'
+    lookup_name = 'floor'
+
+
+class Ln(NumericOutputFieldMixin, Transform):
+    function = 'LN'
+    lookup_name = 'ln'
+
+
+class Log(FixDecimalInputMixin, NumericOutputFieldMixin, Func):
+    function = 'LOG'
+    arity = 2
+
+    def as_sqlite(self, compiler, connection, **extra_context):
+        if not getattr(connection.ops, 'spatialite', False):
+            return self.as_sql(compiler, connection)
+        # This function is usually Log(b, x) returning the logarithm of x to
+        # the base b, but on SpatiaLite it's Log(x, b).
+        clone = self.copy()
+        clone.set_source_expressions(self.get_source_expressions()[::-1])
+        return clone.as_sql(compiler, connection, **extra_context)
+
+
+class Mod(FixDecimalInputMixin, NumericOutputFieldMixin, Func):
+    function = 'MOD'
+    arity = 2
+
+
+class Pi(NumericOutputFieldMixin, Func):
+    function = 'PI'
+    arity = 0
+
+    def as_oracle(self, compiler, connection, **extra_context):
+        return super().as_sql(compiler, connection, template=str(math.pi), **extra_context)
+
+
+class Power(NumericOutputFieldMixin, Func):
+    function = 'POWER'
+    arity = 2
+
+
+class Radians(NumericOutputFieldMixin, Transform):
+    function = 'RADIANS'
+    lookup_name = 'radians'
+
+    def as_oracle(self, compiler, connection, **extra_context):
+        return super().as_sql(
+            compiler, connection,
+            template='((%%(expressions)s) * %s / 180)' % math.pi,
+            **extra_context
+        )
+
+
+class Round(Transform):
+    function = 'ROUND'
+    lookup_name = 'round'
+
+
+class Sign(Transform):
+    function = 'SIGN'
+    lookup_name = 'sign'
+
+
+class Sin(NumericOutputFieldMixin, Transform):
+    function = 'SIN'
+    lookup_name = 'sin'
+
+
+class Sqrt(NumericOutputFieldMixin, Transform):
+    function = 'SQRT'
+    lookup_name = 'sqrt'
+
+
+class Tan(NumericOutputFieldMixin, Transform):
+    function = 'TAN'
+    lookup_name = 'tan'