Python field 예제들

예제 #1

def test_FracElement():
    Fuv, u, v = field("u,v", ZZ)
    Fxyzt, x, y, z, t = field("x,y,z,t", Fuv)

    assert str(x - x) == "0"
    assert str(x - 1) == "x - 1"
    assert str(x + 1) == "x + 1"

    assert str(x / 3) == "x/3"
    assert str(x / z) == "x/z"
    assert str(x * y / z) == "x*y/z"
    assert str(x / (z * t)) == "x/(z*t)"
    assert str(x * y / (z * t)) == "x*y/(z*t)"

    assert str((x - 1) / y) == "(x - 1)/y"
    assert str((x + 1) / y) == "(x + 1)/y"
    assert str((-x - 1) / y) == "(-x - 1)/y"
    assert str((x + 1) / (y * z)) == "(x + 1)/(y*z)"
    assert str(-y / (x + 1)) == "-y/(x + 1)"
    assert str(y * z / (x + 1)) == "y*z/(x + 1)"

    assert str(((u + 1) * x * y + 1) /
               ((v - 1) * z - 1)) == "((u + 1)*x*y + 1)/((v - 1)*z - 1)"
    assert str(((u + 1) * x * y + 1) /
               ((v - 1) * z - t * u * v -
                1)) == "((u + 1)*x*y + 1)/((v - 1)*z - u*v*t - 1)"

예제 #2

파일: test_str.py 프로젝트: stevenleeS0ht/sympy

def test_FracElement():
    Fuv, u,v = field("u,v", ZZ)
    Fxyzt, x,y,z,t = field("x,y,z,t", Fuv)
    Rx_zzi, xz = field("x", QQ_I)
    i = QQ_I(0, 1)

    assert str(x - x) == "0"
    assert str(x - 1) == "x - 1"
    assert str(x + 1) == "x + 1"

    assert str(x/3) == "x/3"
    assert str(x/z) == "x/z"
    assert str(x*y/z) == "x*y/z"
    assert str(x/(z*t)) == "x/(z*t)"
    assert str(x*y/(z*t)) == "x*y/(z*t)"

    assert str((x - 1)/y) == "(x - 1)/y"
    assert str((x + 1)/y) == "(x + 1)/y"
    assert str((-x - 1)/y) == "(-x - 1)/y"
    assert str((x + 1)/(y*z)) == "(x + 1)/(y*z)"
    assert str(-y/(x + 1)) == "-y/(x + 1)"
    assert str(y*z/(x + 1)) == "y*z/(x + 1)"

    assert str(((u + 1)*x*y + 1)/((v - 1)*z - 1)) == "((u + 1)*x*y + 1)/((v - 1)*z - 1)"
    assert str(((u + 1)*x*y + 1)/((v - 1)*z - t*u*v - 1)) == "((u + 1)*x*y + 1)/((v - 1)*z - u*v*t - 1)"

    assert str((1+i)/xz) == "(1 + 1*I)/x"
    assert str(((1+i)*xz - i)/xz) == "((1 + 1*I)*x + (0 + -1*I))/x"

예제 #3

def test_FracField():
    assert (str(field(
        "x", ZZ,
        lex)[0]) == "Rational function field in x over ZZ with lex order")
    assert (str(field("x,y", QQ, grlex)[0]) ==
            "Rational function field in x, y over QQ with grlex order")
    assert (str(field("x,y,z", ZZ["t"], lex)[0]) ==
            "Rational function field in x, y, z over ZZ[t] with lex order")

예제 #4

def test_FracField():
    assert srepr(field("x", ZZ,
                       lex)[0]) == "FracField((Symbol('x'),), ZZ, lex)"
    assert srepr(
        field("x,y", QQ,
              grlex)[0]) == "FracField((Symbol('x'), Symbol('y')), QQ, grlex)"
    assert srepr(
        field("x,y,z", ZZ["t"], lex)[0]
    ) == "FracField((Symbol('x'), Symbol('y'), Symbol('z')), ZZ[t], lex)"

예제 #5

파일: test_str.py 프로젝트: Acebulf/sympy

def test_FracElement():
    Fuv, u,v = field("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Fuv.to_domain())

    assert str(x - x) == "0"
    assert str(x - 1) == "x - 1"
    assert str(x + 1) == "x + 1"

    assert str(x/z) == "x/z"
    assert str(x*y/z) == "x*y/z"
    assert str(x/(z*t)) == "x/(z*t)"
    assert str(x*y/(z*t)) == "x*y/(z*t)"

    assert str((x - 1)/y) == "(x - 1)/y"
    assert str((x + 1)/y) == "(x + 1)/y"
    assert str((-x - 1)/y) == "(-x - 1)/y"
    assert str((x + 1)/(y*z)) == "(x + 1)/(y*z)"
    assert str(-y/(x + 1)) == "-y/(x + 1)"
    assert str(y*z/(x + 1)) == "y*z/(x + 1)"

    assert str(((u + 1)*x*y + 1)/((v - 1)*z - 1)) == "((u + 1)*x*y + 1)/((v - 1)*z - 1)"
    assert str(((u + 1)*x*y + 1)/((v - 1)*z - t*u*v - 1)) == "((u + 1)*x*y + 1)/((v - 1)*z - u*v*t - 1)"

예제 #6

파일: test_str.py 프로젝트: Lenqth/sympy

def test_FracField():
    assert str(field("x", ZZ, lex)[0]) == "Rational function field in x over ZZ with lex order"
    assert str(field("x,y", QQ, grlex)[0]) == "Rational function field in x, y over QQ with grlex order"
    assert str(field("x,y,z", ZZ["t"], lex)[0]) == "Rational function field in x, y, z over ZZ[t] with lex order"

예제 #7

파일: test_repr.py 프로젝트: KonstantinTogoi/sympy

def test_FracElement():
    F, x, y = field("x,y", ZZ)
    assert srepr((3*x**2*y + 1)/(x - y**2)) == "FracElement(FracField((Symbol('x'), Symbol('y')), ZZ, lex), [((2, 1), 3), ((0, 0), 1)], [((1, 0), 1), ((0, 2), -1)])"

예제 #8

파일: test_repr.py 프로젝트: KonstantinTogoi/sympy

def test_FracField():
    assert srepr(field("x", ZZ, lex)[0]) == "FracField((Symbol('x'),), ZZ, lex)"
    assert srepr(field("x,y", QQ, grlex)[0]) == "FracField((Symbol('x'), Symbol('y')), QQ, grlex)"
    assert srepr(field("x,y,z", ZZ["t"], lex)[0]) == "FracField((Symbol('x'), Symbol('y'), Symbol('z')), ZZ[t], lex)"

예제 #9

def test_FracElement():
    F, x, y = field("x,y", ZZ)
    assert srepr((3*x**2*y + 1)/(x - y**2)) == "FracElement(FracField((Symbol('x'), Symbol('y')), ZZ, lex), [((2, 1), 3), ((0, 0), 1)], [((1, 0), 1), ((0, 2), -1)])"