Python simpleDEの例

コード例 #1

ファイル: 55869_test_formal.py プロジェクト: archit-p/Handwritten-Equation-Solver

def test_simpleDE():
    # Tests just the first valid DE
    for DE in simpleDE(exp(x), x, f):
        assert DE == (-f(x) + Derivative(f(x), x), 1)
        break
    for DE in simpleDE(sin(x), x, f):
        assert DE == (f(x) + Derivative(f(x), x, x), 2)
        break
    for DE in simpleDE(log(1 + x), x, f):
        assert DE == ((x + 1) * Derivative(f(x), x, 2) + Derivative(f(x), x),
                      2)
        break
    for DE in simpleDE(asin(x), x, f):
        assert DE == (x * Derivative(f(x), x) +
                      (x**2 - 1) * Derivative(f(x), x, x), 2)
        break
    for DE in simpleDE(exp(x) * sin(x), x, f):
        assert DE == (2 * f(x) - 2 * Derivative(f(x)) + Derivative(f(x), x, x),
                      2)
        break
    for DE in simpleDE(((1 + x) / (1 - x))**n, x, f):
        assert DE == (2 * n * f(x) + (x**2 - 1) * Derivative(f(x), x), 1)
        break
    for DE in simpleDE(airyai(x), x, f):
        assert DE == (-x * f(x) + Derivative(f(x), x, x), 2)
        break

コード例 #2

ファイル: test_formal.py プロジェクト: Carreau/sympy

def test_simpleDE():
    # Tests just the first valid DE
    for DE in simpleDE(exp(x), x, f):
        assert DE == (-f(x) + Derivative(f(x), x), 1)
        break
    for DE in simpleDE(sin(x), x, f):
        assert DE == (f(x) + Derivative(f(x), x, x), 2)
        break
    for DE in simpleDE(log(1 + x), x, f):
        assert DE == ((x + 1) * Derivative(f(x), x, 2) + Derivative(f(x), x), 2)
        break
    for DE in simpleDE(asin(x), x, f):
        assert DE == (x * Derivative(f(x), x) + (x ** 2 - 1) * Derivative(f(x), x, x), 2)
        break
    for DE in simpleDE(exp(x) * sin(x), x, f):
        assert DE == (2 * f(x) - 2 * Derivative(f(x)) + Derivative(f(x), x, x), 2)
        break
    for DE in simpleDE(((1 + x) / (1 - x)) ** n, x, f):
        assert DE == (2 * n * f(x) + (x ** 2 - 1) * Derivative(f(x), x), 1)
        break
    for DE in simpleDE(airyai(x), x, f):
        assert DE == (-x * f(x) + Derivative(f(x), x, x), 2)
        break