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from operator import ( |
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add, |
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and_, |
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ge, |
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gt, |
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le, |
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lt, |
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methodcaller, |
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mul, |
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ne, |
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or_, |
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) |
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from unittest import TestCase |
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import numpy |
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from numpy import ( |
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arange, |
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eye, |
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float64, |
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full, |
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isnan, |
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zeros, |
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) |
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from pandas import ( |
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DataFrame, |
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date_range, |
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Int64Index, |
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) |
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from zipline.pipeline import Factor |
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from zipline.pipeline.expression import ( |
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NumericalExpression, |
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NUMEXPR_MATH_FUNCS, |
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) |
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from zipline.utils.numpy_utils import datetime64ns_dtype, float64_dtype |
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from zipline.utils.test_utils import check_arrays |
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class F(Factor): |
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dtype = float64_dtype |
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inputs = () |
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window_length = 0 |
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class G(Factor): |
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dtype = float64_dtype |
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inputs = () |
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window_length = 0 |
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class H(Factor): |
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dtype = float64_dtype |
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inputs = () |
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window_length = 0 |
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class DateFactor(Factor): |
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dtype = datetime64ns_dtype |
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inputs = () |
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window_length = 0 |
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64
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class NumericalExpressionTestCase(TestCase): |
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def setUp(self): |
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self.dates = date_range('2014-01-01', periods=5, freq='D') |
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self.assets = Int64Index(range(5)) |
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self.f = F() |
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self.g = G() |
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self.h = H() |
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self.d = DateFactor() |
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self.fake_raw_data = { |
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self.f: full((5, 5), 3), |
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self.g: full((5, 5), 2), |
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self.h: full((5, 5), 1), |
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self.d: full((5, 5), 0, dtype='datetime64[ns]'), |
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} |
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self.mask = DataFrame(True, index=self.dates, columns=self.assets) |
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def check_output(self, expr, expected): |
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result = expr._compute( |
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[self.fake_raw_data[input_] for input_ in expr.inputs], |
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self.mask.index, |
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self.mask.columns, |
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self.mask.values, |
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) |
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check_arrays(result, expected) |
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def check_constant_output(self, expr, expected): |
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self.assertFalse(isnan(expected)) |
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return self.check_output(expr, full((5, 5), expected)) |
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def test_validate_good(self): |
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f = self.f |
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g = self.g |
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NumericalExpression("x_0", (f,), dtype=float64_dtype) |
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NumericalExpression("x_0 ", (f,), dtype=float64_dtype) |
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NumericalExpression("x_0 + x_0", (f,), dtype=float64_dtype) |
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NumericalExpression("x_0 + 2", (f,), dtype=float64_dtype) |
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NumericalExpression("2 * x_0", (f,), dtype=float64_dtype) |
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NumericalExpression("x_0 + x_1", (f, g), dtype=float64_dtype) |
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NumericalExpression("x_0 + x_1 + x_0", (f, g), dtype=float64_dtype) |
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NumericalExpression("x_0 + 1 + x_1", (f, g), dtype=float64_dtype) |
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def test_validate_bad(self): |
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f, g, h = self.f, self.g, self.h |
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# Too few inputs. |
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with self.assertRaises(ValueError): |
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NumericalExpression("x_0", (), dtype=float64_dtype) |
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with self.assertRaises(ValueError): |
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NumericalExpression("x_0 + x_1", (f,), dtype=float64_dtype) |
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# Too many inputs. |
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with self.assertRaises(ValueError): |
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NumericalExpression("x_0", (f, g), dtype=float64_dtype) |
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with self.assertRaises(ValueError): |
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NumericalExpression("x_0 + x_1", (f, g, h), dtype=float64_dtype) |
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# Invalid variable name. |
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with self.assertRaises(ValueError): |
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NumericalExpression("x_0x_1", (f,), dtype=float64_dtype) |
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with self.assertRaises(ValueError): |
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NumericalExpression("x_0x_1", (f, g), dtype=float64_dtype) |
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# Variable index must start at 0. |
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with self.assertRaises(ValueError): |
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NumericalExpression("x_1", (f,), dtype=float64_dtype) |
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# Scalar operands must be numeric. |
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with self.assertRaises(TypeError): |
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"2" + f |
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with self.assertRaises(TypeError): |
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f + "2" |
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with self.assertRaises(TypeError): |
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f > "2" |
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# Boolean binary operators must be between filters. |
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with self.assertRaises(TypeError): |
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f + (f > 2) |
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with self.assertRaises(TypeError): |
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(f > f) > f |
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def test_combine_datetimes(self): |
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with self.assertRaises(TypeError) as e: |
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self.d + self.d |
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message = e.exception.args[0] |
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expected = ( |
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"Don't know how to compute datetime64[ns] + datetime64[ns].\n" |
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"Arithmetic operators are only supported on Factors of dtype " |
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"'float64'." |
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) |
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self.assertEqual(message, expected) |
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# Confirm that * shows up in the error instead of +. |
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with self.assertRaises(TypeError) as e: |
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self.d * self.d |
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message = e.exception.args[0] |
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expected = ( |
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"Don't know how to compute datetime64[ns] * datetime64[ns].\n" |
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"Arithmetic operators are only supported on Factors of dtype " |
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"'float64'." |
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) |
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self.assertEqual(message, expected) |
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def test_combine_datetime_with_float(self): |
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# Test with both float-type factors and numeric values. |
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for float_value in (self.f, float64(1.0), 1.0): |
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for op, sym in ((add, '+'), (mul, '*')): |
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with self.assertRaises(TypeError) as e: |
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op(self.f, self.d) |
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message = e.exception.args[0] |
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expected = ( |
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"Don't know how to compute float64 {sym} datetime64[ns].\n" |
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"Arithmetic operators are only supported on Factors of " |
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"dtype 'float64'." |
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).format(sym=sym) |
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self.assertEqual(message, expected) |
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182
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with self.assertRaises(TypeError) as e: |
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op(self.d, self.f) |
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message = e.exception.args[0] |
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expected = ( |
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"Don't know how to compute datetime64[ns] {sym} float64.\n" |
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187
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"Arithmetic operators are only supported on Factors of " |
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188
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"dtype 'float64'." |
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).format(sym=sym) |
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self.assertEqual(message, expected) |
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192
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def test_negate_datetime(self): |
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with self.assertRaises(TypeError) as e: |
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-self.d |
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195
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196
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message = e.exception.args[0] |
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expected = ( |
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"Can't apply unary operator '-' to instance of " |
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"'DateFactor' with dtype 'datetime64[ns]'.\n" |
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200
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"'-' is only supported for Factors of dtype 'float64'." |
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) |
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self.assertEqual(message, expected) |
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204
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def test_negate(self): |
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f, g = self.f, self.g |
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self.check_constant_output(-f, -3.0) |
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self.check_constant_output(--f, 3.0) |
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self.check_constant_output(---f, -3.0) |
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211
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self.check_constant_output(-(f + f), -6.0) |
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self.check_constant_output(-f + -f, -6.0) |
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self.check_constant_output(-(-f + -f), 6.0) |
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215
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self.check_constant_output(f + -g, 1.0) |
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self.check_constant_output(f - -g, 5.0) |
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218
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self.check_constant_output(-(f + g) + (f + g), 0.0) |
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self.check_constant_output((f + g) + -(f + g), 0.0) |
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self.check_constant_output(-(f + g) + -(f + g), -10.0) |
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222
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def test_add(self): |
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f, g = self.f, self.g |
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225
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self.check_constant_output(f + g, 5.0) |
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227
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self.check_constant_output((1 + f) + g, 6.0) |
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self.check_constant_output(1 + (f + g), 6.0) |
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self.check_constant_output((f + 1) + g, 6.0) |
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self.check_constant_output(f + (1 + g), 6.0) |
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self.check_constant_output((f + g) + 1, 6.0) |
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self.check_constant_output(f + (g + 1), 6.0) |
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234
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self.check_constant_output((f + f) + f, 9.0) |
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self.check_constant_output(f + (f + f), 9.0) |
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237
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self.check_constant_output((f + g) + f, 8.0) |
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self.check_constant_output(f + (g + f), 8.0) |
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240
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self.check_constant_output((f + g) + (f + g), 10.0) |
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241
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self.check_constant_output((f + g) + (g + f), 10.0) |
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self.check_constant_output((g + f) + (f + g), 10.0) |
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243
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self.check_constant_output((g + f) + (g + f), 10.0) |
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244
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245
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def test_subtract(self): |
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f, g = self.f, self.g |
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247
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248
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self.check_constant_output(f - g, 1.0) # 3 - 2 |
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249
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250
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self.check_constant_output((1 - f) - g, -4.) # (1 - 3) - 2 |
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251
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self.check_constant_output(1 - (f - g), 0.0) # 1 - (3 - 2) |
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252
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self.check_constant_output((f - 1) - g, 0.0) # (3 - 1) - 2 |
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253
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self.check_constant_output(f - (1 - g), 4.0) # 3 - (1 - 2) |
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254
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self.check_constant_output((f - g) - 1, 0.0) # (3 - 2) - 1 |
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255
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self.check_constant_output(f - (g - 1), 2.0) # 3 - (2 - 1) |
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256
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257
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self.check_constant_output((f - f) - f, -3.) # (3 - 3) - 3 |
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258
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self.check_constant_output(f - (f - f), 3.0) # 3 - (3 - 3) |
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259
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260
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self.check_constant_output((f - g) - f, -2.) # (3 - 2) - 3 |
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261
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self.check_constant_output(f - (g - f), 4.0) # 3 - (2 - 3) |
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262
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263
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self.check_constant_output((f - g) - (f - g), 0.0) # (3 - 2) - (3 - 2) |
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264
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self.check_constant_output((f - g) - (g - f), 2.0) # (3 - 2) - (2 - 3) |
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265
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self.check_constant_output((g - f) - (f - g), -2.) # (2 - 3) - (3 - 2) |
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266
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self.check_constant_output((g - f) - (g - f), 0.0) # (2 - 3) - (2 - 3) |
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267
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268
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def test_multiply(self): |
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269
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f, g = self.f, self.g |
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270
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271
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self.check_constant_output(f * g, 6.0) |
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272
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273
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self.check_constant_output((2 * f) * g, 12.0) |
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274
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self.check_constant_output(2 * (f * g), 12.0) |
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275
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self.check_constant_output((f * 2) * g, 12.0) |
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276
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self.check_constant_output(f * (2 * g), 12.0) |
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277
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self.check_constant_output((f * g) * 2, 12.0) |
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278
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self.check_constant_output(f * (g * 2), 12.0) |
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279
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280
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self.check_constant_output((f * f) * f, 27.0) |
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281
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self.check_constant_output(f * (f * f), 27.0) |
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282
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283
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self.check_constant_output((f * g) * f, 18.0) |
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284
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self.check_constant_output(f * (g * f), 18.0) |
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285
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286
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self.check_constant_output((f * g) * (f * g), 36.0) |
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287
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self.check_constant_output((f * g) * (g * f), 36.0) |
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288
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self.check_constant_output((g * f) * (f * g), 36.0) |
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289
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self.check_constant_output((g * f) * (g * f), 36.0) |
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290
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291
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self.check_constant_output(f * f * f * 0 * f * f, 0.0) |
|
292
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293
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def test_divide(self): |
|
294
|
|
|
f, g = self.f, self.g |
|
295
|
|
|
|
|
296
|
|
|
self.check_constant_output(f / g, 3.0 / 2.0) |
|
297
|
|
|
|
|
298
|
|
|
self.check_constant_output( |
|
299
|
|
|
(2 / f) / g, |
|
300
|
|
|
(2 / 3.0) / 2.0 |
|
301
|
|
|
) |
|
302
|
|
|
self.check_constant_output( |
|
303
|
|
|
2 / (f / g), |
|
304
|
|
|
2 / (3.0 / 2.0), |
|
305
|
|
|
) |
|
306
|
|
|
self.check_constant_output( |
|
307
|
|
|
(f / 2) / g, |
|
308
|
|
|
(3.0 / 2) / 2.0, |
|
309
|
|
|
) |
|
310
|
|
|
self.check_constant_output( |
|
311
|
|
|
f / (2 / g), |
|
312
|
|
|
3.0 / (2 / 2.0), |
|
313
|
|
|
) |
|
314
|
|
|
self.check_constant_output( |
|
315
|
|
|
(f / g) / 2, |
|
316
|
|
|
(3.0 / 2.0) / 2, |
|
317
|
|
|
) |
|
318
|
|
|
self.check_constant_output( |
|
319
|
|
|
f / (g / 2), |
|
320
|
|
|
3.0 / (2.0 / 2), |
|
321
|
|
|
) |
|
322
|
|
|
self.check_constant_output( |
|
323
|
|
|
(f / f) / f, |
|
324
|
|
|
(3.0 / 3.0) / 3.0 |
|
325
|
|
|
) |
|
326
|
|
|
self.check_constant_output( |
|
327
|
|
|
f / (f / f), |
|
328
|
|
|
3.0 / (3.0 / 3.0), |
|
329
|
|
|
) |
|
330
|
|
|
self.check_constant_output( |
|
331
|
|
|
(f / g) / f, |
|
332
|
|
|
(3.0 / 2.0) / 3.0, |
|
333
|
|
|
) |
|
334
|
|
|
self.check_constant_output( |
|
335
|
|
|
f / (g / f), |
|
336
|
|
|
3.0 / (2.0 / 3.0), |
|
337
|
|
|
) |
|
338
|
|
|
|
|
339
|
|
|
self.check_constant_output( |
|
340
|
|
|
(f / g) / (f / g), |
|
341
|
|
|
(3.0 / 2.0) / (3.0 / 2.0), |
|
342
|
|
|
) |
|
343
|
|
|
self.check_constant_output( |
|
344
|
|
|
(f / g) / (g / f), |
|
345
|
|
|
(3.0 / 2.0) / (2.0 / 3.0), |
|
346
|
|
|
) |
|
347
|
|
|
self.check_constant_output( |
|
348
|
|
|
(g / f) / (f / g), |
|
349
|
|
|
(2.0 / 3.0) / (3.0 / 2.0), |
|
350
|
|
|
) |
|
351
|
|
|
self.check_constant_output( |
|
352
|
|
|
(g / f) / (g / f), |
|
353
|
|
|
(2.0 / 3.0) / (2.0 / 3.0), |
|
354
|
|
|
) |
|
355
|
|
|
|
|
356
|
|
|
def test_pow(self): |
|
357
|
|
|
f, g = self.f, self.g |
|
358
|
|
|
|
|
359
|
|
|
self.check_constant_output(f ** g, 3.0 ** 2) |
|
360
|
|
|
self.check_constant_output(2 ** f, 2.0 ** 3) |
|
361
|
|
|
self.check_constant_output(f ** 2, 3.0 ** 2) |
|
362
|
|
|
|
|
363
|
|
|
self.check_constant_output((f + g) ** 2, (3.0 + 2.0) ** 2) |
|
364
|
|
|
self.check_constant_output(2 ** (f + g), 2 ** (3.0 + 2.0)) |
|
365
|
|
|
|
|
366
|
|
|
self.check_constant_output(f ** (f ** g), 3.0 ** (3.0 ** 2.0)) |
|
367
|
|
|
self.check_constant_output((f ** f) ** g, (3.0 ** 3.0) ** 2.0) |
|
368
|
|
|
|
|
369
|
|
|
self.check_constant_output((f ** g) ** (f ** g), 9.0 ** 9.0) |
|
370
|
|
|
self.check_constant_output((f ** g) ** (g ** f), 9.0 ** 8.0) |
|
371
|
|
|
self.check_constant_output((g ** f) ** (f ** g), 8.0 ** 9.0) |
|
372
|
|
|
self.check_constant_output((g ** f) ** (g ** f), 8.0 ** 8.0) |
|
373
|
|
|
|
|
374
|
|
|
def test_mod(self): |
|
375
|
|
|
f, g = self.f, self.g |
|
376
|
|
|
|
|
377
|
|
|
self.check_constant_output(f % g, 3.0 % 2.0) |
|
378
|
|
|
self.check_constant_output(f % 2.0, 3.0 % 2.0) |
|
379
|
|
|
self.check_constant_output(g % f, 2.0 % 3.0) |
|
380
|
|
|
|
|
381
|
|
|
self.check_constant_output((f + g) % 2, (3.0 + 2.0) % 2) |
|
382
|
|
|
self.check_constant_output(2 % (f + g), 2 % (3.0 + 2.0)) |
|
383
|
|
|
|
|
384
|
|
|
self.check_constant_output(f % (f % g), 3.0 % (3.0 % 2.0)) |
|
385
|
|
|
self.check_constant_output((f % f) % g, (3.0 % 3.0) % 2.0) |
|
386
|
|
|
|
|
387
|
|
|
self.check_constant_output((f + g) % (f * g), 5.0 % 6.0) |
|
388
|
|
|
|
|
389
|
|
|
def test_math_functions(self): |
|
390
|
|
|
f, g = self.f, self.g |
|
391
|
|
|
|
|
392
|
|
|
fake_raw_data = self.fake_raw_data |
|
393
|
|
|
alt_fake_raw_data = { |
|
394
|
|
|
self.f: full((5, 5), .5), |
|
395
|
|
|
self.g: full((5, 5), -.5), |
|
396
|
|
|
} |
|
397
|
|
|
|
|
398
|
|
|
for funcname in NUMEXPR_MATH_FUNCS: |
|
399
|
|
|
method = methodcaller(funcname) |
|
400
|
|
|
func = getattr(numpy, funcname) |
|
401
|
|
|
|
|
402
|
|
|
# These methods have domains in [0, 1], so we need alternate inputs |
|
403
|
|
|
# that are in the domain. |
|
404
|
|
|
if funcname in ('arcsin', 'arccos', 'arctanh'): |
|
405
|
|
|
self.fake_raw_data = alt_fake_raw_data |
|
406
|
|
|
else: |
|
407
|
|
|
self.fake_raw_data = fake_raw_data |
|
408
|
|
|
|
|
409
|
|
|
f_val = self.fake_raw_data[f][0, 0] |
|
410
|
|
|
g_val = self.fake_raw_data[g][0, 0] |
|
411
|
|
|
|
|
412
|
|
|
self.check_constant_output(method(f), func(f_val)) |
|
413
|
|
|
self.check_constant_output(method(g), func(g_val)) |
|
414
|
|
|
|
|
415
|
|
|
self.check_constant_output(method(f) + 1, func(f_val) + 1) |
|
416
|
|
|
self.check_constant_output(1 + method(f), 1 + func(f_val)) |
|
417
|
|
|
|
|
418
|
|
|
self.check_constant_output(method(f + .25), func(f_val + .25)) |
|
419
|
|
|
self.check_constant_output(method(.25 + f), func(.25 + f_val)) |
|
420
|
|
|
|
|
421
|
|
|
self.check_constant_output( |
|
422
|
|
|
method(f) + method(g), |
|
423
|
|
|
func(f_val) + func(g_val), |
|
424
|
|
|
) |
|
425
|
|
|
self.check_constant_output( |
|
426
|
|
|
method(f + g), |
|
427
|
|
|
func(f_val + g_val), |
|
428
|
|
|
) |
|
429
|
|
|
|
|
430
|
|
|
def test_comparisons(self): |
|
431
|
|
|
f, g, h = self.f, self.g, self.h |
|
432
|
|
|
self.fake_raw_data = { |
|
433
|
|
|
f: arange(25).reshape(5, 5), |
|
434
|
|
|
g: arange(25).reshape(5, 5) - eye(5), |
|
435
|
|
|
h: full((5, 5), 5), |
|
436
|
|
|
} |
|
437
|
|
|
f_data = self.fake_raw_data[f] |
|
438
|
|
|
g_data = self.fake_raw_data[g] |
|
439
|
|
|
|
|
440
|
|
|
cases = [ |
|
441
|
|
|
# Sanity Check with hand-computed values. |
|
442
|
|
|
(f, g, eye(5), zeros((5, 5))), |
|
443
|
|
|
(f, 10, f_data, 10), |
|
444
|
|
|
(10, f, 10, f_data), |
|
445
|
|
|
(f, f, f_data, f_data), |
|
446
|
|
|
(f + 1, f, f_data + 1, f_data), |
|
447
|
|
|
(1 + f, f, 1 + f_data, f_data), |
|
448
|
|
|
(f, g, f_data, g_data), |
|
449
|
|
|
(f + 1, g, f_data + 1, g_data), |
|
450
|
|
|
(f, g + 1, f_data, g_data + 1), |
|
451
|
|
|
(f + 1, g + 1, f_data + 1, g_data + 1), |
|
452
|
|
|
((f + g) / 2, f ** 2, (f_data + g_data) / 2, f_data ** 2), |
|
453
|
|
|
] |
|
454
|
|
|
for op in (gt, ge, lt, le, ne): |
|
455
|
|
|
for expr_lhs, expr_rhs, expected_lhs, expected_rhs in cases: |
|
456
|
|
|
self.check_output( |
|
457
|
|
|
op(expr_lhs, expr_rhs), |
|
458
|
|
|
op(expected_lhs, expected_rhs), |
|
459
|
|
|
) |
|
460
|
|
|
|
|
461
|
|
|
def test_boolean_binops(self): |
|
462
|
|
|
f, g, h = self.f, self.g, self.h |
|
463
|
|
|
self.fake_raw_data = { |
|
464
|
|
|
f: arange(25).reshape(5, 5), |
|
465
|
|
|
g: arange(25).reshape(5, 5) - eye(5), |
|
466
|
|
|
h: full((5, 5), 5), |
|
467
|
|
|
} |
|
468
|
|
|
|
|
469
|
|
|
# Should be True on the diagonal. |
|
470
|
|
|
eye_filter = f > g |
|
471
|
|
|
# Should be True in the first row only. |
|
472
|
|
|
first_row_filter = f < h |
|
473
|
|
|
|
|
474
|
|
|
eye_mask = eye(5, dtype=bool) |
|
475
|
|
|
first_row_mask = zeros((5, 5), dtype=bool) |
|
476
|
|
|
first_row_mask[0] = 1 |
|
477
|
|
|
|
|
478
|
|
|
self.check_output(eye_filter, eye_mask) |
|
479
|
|
|
self.check_output(first_row_filter, first_row_mask) |
|
480
|
|
|
|
|
481
|
|
|
for op in (and_, or_): # NumExpr doesn't support xor. |
|
482
|
|
|
self.check_output( |
|
483
|
|
|
op(eye_filter, first_row_filter), |
|
484
|
|
|
op(eye_mask, first_row_mask), |
|
485
|
|
|
) |
|
486
|
|
|
|