louis_lifu
/
AReaL
mirror of https://github.com/inclusionAI/AReaL
1
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity
AReaL/evaluation/latex2sympy/tests/lcm_test.py

233 lines
10 KiB
Python
Raw Blame History

import pytest
from sympy import Rational, Symbol, UnevaluatedExpr, ilcm, lcm, pi, sqrt
from .context import assert_equal
x = Symbol("x", real=True)
y = Symbol("y", real=True)
z = Symbol("z", real=True)
def test_lcm_usual():
assert_equal("\\lcm(6, 4)", lcm(6, 4))
assert_equal("\\lcm(4, 6)", lcm(4, 6))
assert_equal("\\lcm(2, 2)", lcm(2, 2))
assert_equal("\\lcm(0, 21)", UnevaluatedExpr(lcm(0, 21)))
assert_equal("\\lcm(21, 0)", UnevaluatedExpr(lcm(21, 0)))
assert_equal("\\lcm(0, 0)", UnevaluatedExpr(lcm(0, 0)))
assert_equal("\\lcm(9, 21)", lcm(9, 21))
assert_equal("\\lcm(6128, 24)", lcm(6128, 24))
assert_equal("\\lcm(24, 6128)", lcm(24, 6128))
assert_equal("\\lcm(1E20, 1000000)", lcm(Rational("1E20"), 1000000))
assert_equal("\\lcm(128*10^32, 1)", lcm(Rational("128E32"), 1))
assert_equal("\\operatorname{lcm}(6, 4)", lcm(6, 4))
assert_equal("\\operatorname{lcm}(4, 6)", lcm(4, 6))
assert_equal("\\operatorname{lcm}(2, 2)", lcm(2, 2))
assert_equal("\\operatorname{lcm}(0, 21)", UnevaluatedExpr(lcm(0, 21)))
assert_equal("\\operatorname{lcm}(21, 0)", UnevaluatedExpr(lcm(21, 0)))
assert_equal("\\operatorname{lcm}(0, 0)", UnevaluatedExpr(lcm(0, 0)))
assert_equal("\\operatorname{lcm}(9, 21)", lcm(9, 21))
assert_equal("\\operatorname{lcm}(6128, 24)", lcm(6128, 24))
assert_equal("\\operatorname{lcm}(24, 6128)", lcm(24, 6128))
assert_equal("\\operatorname{lcm}(1E20, 1000000)", lcm(Rational("1E20"), 1000000))
assert_equal("\\operatorname{lcm}(128*10^32, 1)", lcm(Rational("128E32"), 1))
def test_lcm_negative():
assert_equal("\\lcm(-12, 4)", lcm(-12, 4))
assert_equal("\\lcm(219, -9)", lcm(219, -9))
assert_equal("\\lcm(-8, -12)", lcm(-8, -12))
assert_equal("\\lcm(-5, -5)", lcm(-5, -5))
assert_equal("\\lcm(-1, 182033)", lcm(-1, 182033))
assert_equal("\\lcm(25, -30)", lcm(25, -30))
assert_equal("\\lcm(243, -2.9543127E21)", lcm(243, Rational("-2.9543127E21")))
assert_equal("\\operatorname{lcm}(-12, 4)", lcm(-12, 4))
assert_equal("\\operatorname{lcm}(219, -9)", lcm(219, -9))
assert_equal("\\operatorname{lcm}(-8, -12)", lcm(-8, -12))
assert_equal("\\operatorname{lcm}(-5, -5)", lcm(-5, -5))
assert_equal("\\operatorname{lcm}(-1, 182033)", lcm(-1, 182033))
assert_equal("\\operatorname{lcm}(25, -30)", lcm(25, -30))
assert_equal(
"\\operatorname{lcm}(243, -2.9543127E21)", lcm(243, Rational("-2.9543127E21"))
)
def test_lcm_float():
assert_equal("\\lcm(2.4, 3.6)", lcm(Rational("2.4"), Rational("3.6")))
assert_equal("\\lcm(3.6, 2.4)", lcm(Rational("3.6"), Rational("2.4")))
assert_equal("\\lcm(\\pi, 3)", lcm(pi, 3))
assert_equal("\\lcm(618, 1.5)", lcm(618, Rational("1.5")))
assert_equal("\\lcm(-1.5, 618)", lcm(Rational("-1.5"), 618))
assert_equal("\\lcm(0.42, 2)", lcm(Rational("0.42"), 2))
assert_equal("\\lcm(1.43E-13, 21)", lcm(Rational("1.43E-13"), 21))
assert_equal("\\lcm(21, -143E-13)", lcm(21, Rational("-143E-13")))
assert_equal(
"\\lcm(9.80655, 9.80655)", lcm(Rational("9.80655"), Rational("9.80655"))
)
assert_equal(
"\\lcm(0.0000923423, -8341.234802909)",
lcm(Rational("0.0000923423"), Rational("-8341.234802909")),
)
assert_equal("\\lcm(\\sqrt{5}, \\sqrt{2})", lcm(sqrt(5), sqrt(2)))
assert_equal("\\operatorname{lcm}(2.4, 3.6)", lcm(Rational("2.4"), Rational("3.6")))
assert_equal("\\operatorname{lcm}(3.6, 2.4)", lcm(Rational("3.6"), Rational("2.4")))
assert_equal("\\operatorname{lcm}(\\pi, 3)", lcm(pi, 3))
assert_equal("\\operatorname{lcm}(618, 1.5)", lcm(618, Rational("1.5")))
assert_equal("\\operatorname{lcm}(-1.5, 618)", lcm(Rational("-1.5"), 618))
assert_equal("\\operatorname{lcm}(0.42, 2)", lcm(Rational("0.42"), 2))
assert_equal("\\operatorname{lcm}(1.43E-13, 21)", lcm(Rational("1.43E-13"), 21))
assert_equal("\\operatorname{lcm}(21, -143E-13)", lcm(21, Rational("-143E-13")))
assert_equal(
"\\operatorname{lcm}(9.80655, 9.80655)",
lcm(Rational("9.80655"), Rational("9.80655")),
)
assert_equal(
"\\operatorname{lcm}(0.0000923423, -8341.234802909)",
lcm(Rational("0.0000923423"), Rational("-8341.234802909")),
)
assert_equal("\\operatorname{lcm}(\\sqrt{5}, \\sqrt{2})", lcm(sqrt(5), sqrt(2)))
def test_lcm_fraction():
assert_equal("\\lcm(1/2, 3)", lcm(Rational("1/2"), 3))
assert_equal("\\lcm(3, 1/2)", lcm(3, Rational("1/2")))
assert_equal("\\lcm(6/2, 3)", lcm(Rational("6/2"), 3))
assert_equal("\\lcm(1/10, 1/10)", lcm(Rational("1/10"), Rational("1/10")))
assert_equal("\\lcm(42, 42/6)", lcm(42, Rational("42/6")))
assert_equal("\\lcm(10000000/10, 10000)", lcm(Rational("10000000/10"), 10000))
assert_equal("\\operatorname{lcm}(1/2, 3)", lcm(Rational("1/2"), 3))
assert_equal("\\operatorname{lcm}(3, 1/2)", lcm(3, Rational("1/2")))
assert_equal("\\operatorname{lcm}(6/2, 3)", lcm(Rational("6/2"), 3))
assert_equal(
"\\operatorname{lcm}(1/10, 1/10)", lcm(Rational("1/10"), Rational("1/10"))
)
assert_equal("\\operatorname{lcm}(42, 42/6)", lcm(42, Rational("42/6")))
assert_equal(
"\\operatorname{lcm}(10000000/10, 10000)", lcm(Rational("10000000/10"), 10000)
)
def test_lcm_expr():
assert_equal("\\lcm(1+1, 8)", lcm(1 + 1, 8))
assert_equal("920*\\lcm(9, 12*4/2)", 920 * lcm(9, 12 * Rational("4/2")))
assert_equal("\\lcm(32-128, 10)*22", lcm(32 - 128, 10) * 22)
assert_equal(
"\\sqrt{\\lcm(1.25E24, 1E12)}", sqrt(lcm(Rational("1.25E24"), Rational("1E12")))
)
assert_equal("\\lcm(92.0, 000+2)", lcm(Rational("92.0"), 000 + 2))
assert_equal("\\operatorname{lcm}(1+1, 8)", lcm(1 + 1, 8))
assert_equal(
"920*\\operatorname{lcm}(9, 12*4/2)", 920 * lcm(9, 12 * Rational("4/2"))
)
assert_equal("\\operatorname{lcm}(32-128, 10)*22", lcm(32 - 128, 10) * 22)
assert_equal(
"\\sqrt{\\operatorname{lcm}(1.25E24, 1E12)}",
sqrt(lcm(Rational("1.25E24"), Rational("1E12"))),
)
assert_equal("\\operatorname{lcm}(92.0, 000+2)", lcm(Rational("92.0"), 000 + 2))
def test_lcm_symbol():
assert_equal("\\lcm(x, y)", lcm(x, y), symbolically=True)
assert_equal("\\lcm(y, -x)", lcm(y, -x), symbolically=True)
assert_equal("\\lcm(2y, x)", lcm(2 * y, x), symbolically=True)
assert_equal("\\lcm(125, 50x)", lcm(125, 50 * x), symbolically=True)
assert_equal(
"\\lcm(x + 76, \\sqrt{x} * 4)", lcm(x + 76, sqrt(x) * 4), symbolically=True
)
assert_equal("\\lcm(y, y)", lcm(y, y), symbolically=True)
assert_equal(
"y + \\lcm(0.4x, 8/3) / 2",
y + lcm(Rational("0.4") * x, Rational("8/3")) / 2,
symbolically=True,
)
assert_equal(
"6.673E-11 * (\\lcm(8.85418782E-12, 9x) + 4) / 8y",
Rational("6.673E-11") * (lcm(Rational("8.85418782E-12"), 9 * x) + 4) / (8 * y),
symbolically=True,
)
assert_equal("\\operatorname{lcm}(x, y)", lcm(x, y), symbolically=True)
assert_equal("\\operatorname{lcm}(y, -x)", lcm(y, -x), symbolically=True)
assert_equal("\\operatorname{lcm}(2y, x)", lcm(2 * y, x), symbolically=True)
assert_equal("\\operatorname{lcm}(125, 50x)", lcm(125, 50 * x), symbolically=True)
assert_equal(
"\\operatorname{lcm}(x + 76, \\sqrt{x} * 4)",
lcm(x + 76, sqrt(x) * 4),
symbolically=True,
)
assert_equal("\\operatorname{lcm}(y, y)", lcm(y, y), symbolically=True)
assert_equal(
"y + \\operatorname{lcm}(0.4x, 8/3) / 2",
y + lcm(Rational("0.4") * x, Rational("8/3")) / 2,
symbolically=True,
)
assert_equal(
"6.673E-11 * (\\operatorname{lcm}(8.85418782E-12, 9x) + 4) / 8y",
Rational("6.673E-11") * (lcm(Rational("8.85418782E-12"), 9 * x) + 4) / (8 * y),
symbolically=True,
)
def test_multiple_parameters():
assert_equal("\\lcm(830,450)", lcm(830, 450))
assert_equal("\\lcm(6,321,429)", ilcm(6, 321, 429))
assert_equal("\\lcm(14,2324)", lcm(14, 2324))
assert_equal("\\lcm(3, 6, 2)", ilcm(3, 6, 2))
assert_equal("\\lcm(8, 9, 21)", ilcm(8, 9, 21))
assert_equal("\\lcm(144, 2988, 37116)", ilcm(144, 2988, 37116))
assert_equal("\\lcm(144,2988,37116,18,72)", ilcm(144, 2988, 37116, 18, 72))
assert_equal(
"\\lcm(144, 2988, 37116, 18, 72, 12, 6)", ilcm(144, 2988, 37116, 18, 72, 12, 6)
)
assert_equal("\\lcm(32)", lcm(32, 32))
assert_equal("\\lcm(-8, 4, -2)", lcm(-8, lcm(4, -2)))
assert_equal("\\lcm(x, y, z)", lcm(x, lcm(y, z)), symbolically=True)
assert_equal("\\lcm(6*4, 48, 3)", ilcm(6 * 4, 48, 3))
assert_equal(
"\\lcm(2.4, 3.6, 0.6)",
lcm(Rational("2.4"), lcm(Rational("3.6"), Rational("0.6"))),
)
assert_equal(
"\\lcm(\\sqrt{3}, \\sqrt{2},\\sqrt{100})", lcm(sqrt(3), lcm(sqrt(2), sqrt(100)))
)
assert_equal(
"\\lcm(1E12, 1E6, 1E3, 10)",
ilcm(Rational("1E12"), Rational("1E6"), Rational("1E3"), 10),
)
assert_equal("\\operatorname{lcm}(830,450)", lcm(830, 450))
assert_equal("\\operatorname{lcm}(6,321,429)", ilcm(6, 321, 429))
assert_equal("\\operatorname{lcm}(14,2324)", lcm(14, 2324))
assert_equal("\\operatorname{lcm}(3, 6, 2)", ilcm(3, 6, 2))
assert_equal("\\operatorname{lcm}(8, 9, 21)", ilcm(8, 9, 21))
assert_equal("\\operatorname{lcm}(144, 2988, 37116)", ilcm(144, 2988, 37116))
assert_equal(
"\\operatorname{lcm}(144,2988,37116,18,72)", ilcm(144, 2988, 37116, 18, 72)
)
assert_equal(
"\\operatorname{lcm}(144, 2988, 37116, 18, 72, 12, 6)",
ilcm(144, 2988, 37116, 18, 72, 12, 6),
)
assert_equal("\\operatorname{lcm}(32)", lcm(32, 32))
assert_equal("\\operatorname{lcm}(-8, 4, -2)", lcm(-8, lcm(4, -2)))
assert_equal("\\operatorname{lcm}(x, y, z)", lcm(x, lcm(y, z)), symbolically=True)
assert_equal("\\operatorname{lcm}(6*4,48, 3)", ilcm(6 * 4, 48, 3))
assert_equal(
"\\operatorname{lcm}(2.4, 3.6,0.6)",
lcm(Rational("2.4"), lcm(Rational("3.6"), Rational("0.6"))),
)
assert_equal(
"\\operatorname{lcm}(\\sqrt{3}, \\sqrt{2},\\sqrt{100})",
lcm(sqrt(3), lcm(sqrt(2), sqrt(100))),
)
assert_equal(
"\\operatorname{lcm}(1E12,1E6, 1E3, 10)",
ilcm(Rational("1E12"), Rational("1E6"), Rational("1E3"), 10),
)
Reference in New Issue View Git Blame Copy Permalink