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_test_expression.py
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# Copyright 2020-2025 Francesco Biscani ([email protected]), Dario Izzo ([email protected])
#
# This file is part of the heyoka.py library.
#
# This Source Code Form is subject to the terms of the Mozilla
# Public License v. 2.0. If a copy of the MPL was not distributed
# with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
import unittest as _ut
class expression_test_case(_ut.TestCase):
def test_basic(self):
from . import expression as ex, core
from . import make_vars
import numpy as np
with_real128 = hasattr(core, "real128")
ld_63bit = np.finfo(np.longdouble).nmant == 63
if with_real128:
real128 = core.real128
# Minimal make_vars() testing.
with self.assertRaises(ValueError) as cm:
make_vars()
self.assertTrue(
"At least one argument is required when invoking 'make_vars()'"
in str(cm.exception)
)
x = make_vars("x")
self.assertTrue(isinstance(x, ex))
self.assertEqual(x, ex("x"))
l = make_vars("x", "y")
self.assertTrue(isinstance(l, list))
x, y = l
self.assertEqual(x, ex("x"))
self.assertEqual(y, ex("y"))
# Constructors.
self.assertEqual(ex(), ex(0))
self.assertEqual(ex(123), ex(123.0))
self.assertEqual(str(ex(123)), "123.00000000000000")
self.assertEqual(str(ex(np.float32("1.1"))), "1.10000002")
# Error with large integer.
with self.assertRaises(TypeError) as cm:
ex(123 << 56)
self.assertTrue("incompatible constructor arguments" in str(cm.exception))
self.assertEqual(str(ex(1.1)), "1.1000000000000001")
if ld_63bit:
self.assertEqual(str(ex(np.longdouble("1.1"))), "1.10000000000000000002")
if with_real128:
self.assertEqual(
str(ex(real128("1.1"))), "1.10000000000000000000000000000000008"
)
self.assertEqual(str(ex("x")), "x")
# Unary arithmetics.
self.assertEqual(ex(42), +ex(42))
self.assertEqual(ex(-42), -ex(42))
# Addition.
self.assertEqual(ex(42) + ex(-1), ex(41))
self.assertEqual(ex(42) + -1, ex(41))
self.assertEqual(-1 + ex(42), ex(41))
with self.assertRaises(TypeError) as cm:
ex(42) + (2 << 112)
with self.assertRaises(TypeError) as cm:
(2 << 112) + ex(42)
self.assertEqual(ex(42) + -1.1, ex(40.899999999999999))
self.assertEqual(-1.1 + ex(42), ex(40.899999999999999))
if ld_63bit:
self.assertEqual(
ex(42) + np.longdouble("-1.1"),
ex(np.longdouble("40.9000000000000000014")),
)
self.assertEqual(
np.longdouble("-1.1") + ex(42),
ex(np.longdouble("40.9000000000000000014")),
)
if with_real128:
self.assertEqual(
ex(42) + real128("-1.1"),
ex(real128("40.8999999999999999999999999999999988")),
)
self.assertEqual(
real128("-1.1") + ex(42),
ex(real128("40.8999999999999999999999999999999988")),
)
# Subtraction.
self.assertEqual(ex(42) - ex(-1), ex(43))
self.assertEqual(ex(42) - -1, ex(43))
self.assertEqual(-1 - ex(42), ex(-43))
with self.assertRaises(TypeError) as cm:
ex(42) - (2 << 112)
with self.assertRaises(TypeError) as cm:
(2 << 112) - ex(42)
self.assertEqual(ex(42) - -1.1, ex(43.100000000000001))
self.assertEqual(-1.1 - ex(42), ex(-43.100000000000001))
if ld_63bit:
self.assertEqual(
ex(42) - np.longdouble("-1.1"),
ex(np.longdouble("43.0999999999999999986")),
)
self.assertEqual(
np.longdouble("-1.1") - ex(42),
ex(np.longdouble("-43.0999999999999999986")),
)
if with_real128:
self.assertEqual(
ex(42) - real128("-1.1"),
ex(real128("43.1000000000000000000000000000000012")),
)
self.assertEqual(
real128("-1.1") - ex(42),
ex(real128("-43.1000000000000000000000000000000012")),
)
# Multiplication.
self.assertEqual(ex(42) * ex(-1), ex(-42))
self.assertEqual(ex(42) * -1, ex(-42))
self.assertEqual(-1 * ex(42), ex(-42))
with self.assertRaises(TypeError) as cm:
ex(42) * (2 << 112)
with self.assertRaises(TypeError) as cm:
(2 << 112) * ex(42)
self.assertEqual(ex(42) * -1.1, ex(-46.200000000000003))
self.assertEqual(-1.1 * ex(42), ex(-46.200000000000003))
if ld_63bit:
self.assertEqual(
ex(42) * np.longdouble("-1.1"),
ex(np.longdouble("-46.2000000000000000007")),
)
self.assertEqual(
np.longdouble("-1.1") * ex(42),
ex(np.longdouble("-46.2000000000000000007")),
)
if with_real128:
self.assertEqual(
ex(42) * real128("-1.1"),
ex(real128("-46.2000000000000000000000000000000025")),
)
self.assertEqual(
real128("-1.1") * ex(42),
ex(real128("-46.2000000000000000000000000000000025")),
)
# Division.
self.assertEqual(ex(42) / ex(-1), ex(-42))
self.assertEqual(ex(42) / -1, ex(-42))
self.assertEqual(-42 / ex(1), ex(-42))
with self.assertRaises(TypeError) as cm:
ex(42) / (2 << 112)
with self.assertRaises(TypeError) as cm:
(2 << 112) / ex(42)
self.assertEqual(ex(42) / -1.1, ex(-38.181818181818180))
self.assertEqual(-1.1 / ex(42), ex(-0.02619047619047619))
if ld_63bit:
self.assertEqual(
ex(42) / np.longdouble("-1.1"),
ex(np.longdouble("-38.1818181818181818163")),
)
self.assertEqual(
np.longdouble("-1.1") / ex(42),
ex(np.longdouble("-0.0261904761904761904772")),
)
if with_real128:
self.assertEqual(
ex(42) / real128("-1.1"),
ex(real128("-38.1818181818181818181818181818181801")),
)
self.assertEqual(
real128("-1.1") / ex(42),
ex(real128("-0.0261904761904761904761904761904761910")),
)
# Comparison.
self.assertEqual(ex(42), ex(42))
self.assertEqual(ex("x"), ex("x"))
self.assertNotEqual(ex(41), ex(42))
self.assertNotEqual(ex("x"), ex("y"))
# Exponentiation.
self.assertEqual(str(ex("x") ** ex("y")), "x**y")
self.assertEqual(str(ex("x") ** ex(2)), "x**2.0000000000000000")
self.assertEqual(str(ex("x") ** ex(1.1)), "x**1.1000000000000001")
with self.assertRaises(TypeError) as cm:
ex(42) ** (2 << 112)
if ld_63bit:
self.assertEqual(
ex(42) / np.longdouble("-1.1"),
ex(np.longdouble("-38.1818181818181818163")),
)
if ld_63bit:
self.assertEqual(
str(ex("x") ** ex(np.longdouble("1.1"))),
"x**1.10000000000000000002",
)
if with_real128:
self.assertEqual(
str(ex("x") ** ex(real128("1.1"))),
"x**1.10000000000000000000000000000000008",
)
# Copy and deepcopy.
from copy import copy, deepcopy
tmp = ex("x") + ex("y")
tmp.foo = [1, 2, 3]
id_foo = id(tmp.foo)
tmp_copy = copy(tmp)
self.assertEqual(id_foo, id(tmp_copy.foo))
tmp_dcopy = deepcopy(tmp)
self.assertNotEqual(id_foo, id(tmp_dcopy.foo))
self.assertEqual(tmp.foo, tmp_dcopy.foo)
def test_copy(self):
from . import make_vars
from copy import copy, deepcopy
x, y = make_vars("x", "y")
ex = x + y
class foo:
pass
ex.bar = foo()
self.assertEqual(id(ex.bar), id(copy(ex).bar))
self.assertNotEqual(id(ex.bar), id(deepcopy(ex).bar))
self.assertEqual(ex, copy(ex))
self.assertEqual(ex, deepcopy(ex))
def test_diff(self):
from . import make_vars, sin, cos, diff, par
x, y = make_vars("x", "y")
self.assertEqual(diff(cos(x * x - y), "x"), -sin(x * x - y) * (x + x))
self.assertEqual(diff(cos(x * x - y), x), -sin(x * x - y) * (x + x))
self.assertEqual(
diff(cos(par[0] * par[0] - y), par[0]),
-sin(par[0] * par[0] - y) * (par[0] + par[0]),
)
def test_s11n(self):
from . import make_vars, sin, cos, core
from .core import _ppc_arch
from numpy import longdouble
import pickle
x, y = make_vars("x", "y")
ex = x + 2.0 * y
self.assertEqual(ex, pickle.loads(pickle.dumps(ex)))
# Test dynamic attributes.
ex.foo = "hello world"
ex = pickle.loads(pickle.dumps(ex))
self.assertEqual(ex.foo, "hello world")
if not _ppc_arch:
ex = sin(longdouble("1.1") * x) + 2.0 * y
self.assertEqual(ex, pickle.loads(pickle.dumps(ex)))
if not hasattr(core, "real128"):
return
from .core import real128
# Quad precision.
if not _ppc_arch:
ex = sin(longdouble("1.1") * x) + real128("1.3") * cos(2.0 * y)
self.assertEqual(ex, pickle.loads(pickle.dumps(ex)))
def test_len(self):
from . import make_vars
x, y, z = make_vars("x", "y", "z")
self.assertEqual(len(x), 1)
self.assertEqual(len((x - y - z) + (y * z)), 13)
def test_hash(self):
from . import make_vars
from copy import deepcopy
x, y, z = make_vars("x", "y", "z")
ex = x + y
self.assertEqual(z * ex + ex, z * (x + y) + (x + y))
self.assertEqual(hash(z * ex + ex), hash(z * (x + y) + (x + y)))
ex2 = deepcopy(ex)
self.assertEqual(hash(z * ex2 + ex2), hash(z * (x + y) + (x + y)))
def test_get_variables(self):
from . import make_vars, get_variables
x, y, z = make_vars("x", "y", "z")
self.assertEqual(get_variables(arg=x + y), ["x", "y"])
self.assertEqual(get_variables(arg=[z - y, x + y]), ["x", "y", "z"])
def test_rename_variables(self):
from . import make_vars, rename_variables
x, y, a, b = make_vars("x", "y", "a", "b")
self.assertEqual(rename_variables(arg=x + y, d={"x": "b", "y": "a"}), b + a)
self.assertEqual(
rename_variables(arg=[x - y, x + y], d={"x": "b", "y": "a"}),
[b - a, b + a],
)
def test_subs(self):
from . import make_vars, subs
x, y, a, b = make_vars("x", "y", "a", "b")
self.assertEqual(str(subs(arg=x + y, smap={"x": b, "y": a})), "(b + a)")
self.assertEqual(str(subs(arg=x + y, smap={x: b, y: a})), "(b + a)")
self.assertEqual(
str(subs(arg=[x + y, x - y], smap={"x": b, "y": a})[1]), "(b - a)"
)
self.assertEqual(str(subs(arg=[x + y, x - y], smap={x: b, y: a})[1]), "(b - a)")
def test_relu_wrappers(self):
from . import make_vars, leaky_relu, leaky_relup, relu, relup
x, y = make_vars("x", "y")
self.assertEqual(leaky_relu(0.0)(x), relu(x))
self.assertEqual(leaky_relup(0.0)(x), relup(x))
self.assertEqual(leaky_relu(0.1)(x + y), relu(x + y, 0.1))
self.assertEqual(leaky_relup(0.1)(x + y), relup(x + y, 0.1))
self.assertEqual(leaky_relu(0.0)(x * y), relu(x * y))
self.assertEqual(leaky_relup(0.0)(x * y), relup(x * y))
self.assertEqual(leaky_relu(0.1)(x * y + y), relu(x * y + y, 0.1))
self.assertEqual(leaky_relup(0.1)(x * y + y), relup(x * y + y, 0.1))
def test_dfun(self):
from . import make_vars, dfun
x, y = make_vars("x", "y")
self.assertEqual(str(dfun("f", [x, y])), "(∂^0 f)")
self.assertEqual(
str(dfun(name="f", args=[x, y], didx=[(0, 3), (1, 5)])),
"(∂^8 f)/(∂a0^3 ∂a1^5)",
)
def test_relational(self):
from . import make_vars, lt, eq
x, y = make_vars("x", "y")
self.assertEqual(str(lt(x, y)), "(x < y)")
self.assertEqual(str(eq(x, y)), "(x == y)")
self.assertTrue("(x == 1.00" in str(eq(x, 1.0)))
self.assertTrue("0000 == x)" in str(eq(1.0, x)))
with self.assertRaises(TypeError) as cm:
lt(1.0, 1.0)
self.assertTrue(
"At least one of the arguments of lt() must be an expression"
in str(cm.exception)
)
def test_logical(self):
from . import make_vars, logical_and, logical_or
x, y = make_vars("x", "y")
self.assertEqual(str(logical_and([x, y])), "logical_and(x, y)")
self.assertEqual(str(logical_or([x, y])), "logical_or(x, y)")
def test_select(self):
from . import make_vars, select
import numpy as np
x, y = make_vars("x", "y")
self.assertEqual(str(select(x, y, x)), "select(x, y, x)")
self.assertTrue("select(1.0000" in str(select(1.0, y, x)))
self.assertTrue("000, y, x)" in str(select(1.0, y, x)))
self.assertTrue("select(1.0000" in str(select(1.0, y, 2.0)))
self.assertTrue("000, y, 2.000" in str(select(1.0, y, 2.0)))
with self.assertRaises(TypeError) as cm:
select(1.0, 1.0, 1.0)
self.assertTrue(
"At least one of the arguments of select() must be an expression"
in str(cm.exception)
)
with self.assertRaises(TypeError) as cm:
select(1.0, y, np.longdouble(2.0))
self.assertTrue(
"The numerical arguments of select() must be all of the same type"
in str(cm.exception)
)
def test_get_params(self):
from . import make_vars, par, get_params
x, y = make_vars("x", "y")
self.assertEqual(get_params(x + y), [])
self.assertEqual(get_params(x + par[42]), [par[42]])
self.assertEqual(get_params([x + y, x - y]), [])
self.assertEqual(get_params([x + par[42], par[1] - y]), [par[1], par[42]])