477 lines
14 KiB
Python
477 lines
14 KiB
Python
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from sympy.core import (S, pi, oo, Symbol, symbols, Rational, Integer,
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GoldenRatio, EulerGamma, Catalan, Lambda, Dummy)
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from sympy.functions import (Piecewise, sin, cos, Abs, exp, ceiling, sqrt,
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gamma, sign, Max, Min, factorial, beta)
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from sympy.core.relational import (Eq, Ge, Gt, Le, Lt, Ne)
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from sympy.sets import Range
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from sympy.logic import ITE
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from sympy.codegen import For, aug_assign, Assignment
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from sympy.testing.pytest import raises
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from sympy.printing.rcode import RCodePrinter
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from sympy.utilities.lambdify import implemented_function
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from sympy.tensor import IndexedBase, Idx
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from sympy.matrices import Matrix, MatrixSymbol
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from sympy.printing.rcode import rcode
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x, y, z = symbols('x,y,z')
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def test_printmethod():
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class fabs(Abs):
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def _rcode(self, printer):
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return "abs(%s)" % printer._print(self.args[0])
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assert rcode(fabs(x)) == "abs(x)"
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def test_rcode_sqrt():
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assert rcode(sqrt(x)) == "sqrt(x)"
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assert rcode(x**0.5) == "sqrt(x)"
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assert rcode(sqrt(x)) == "sqrt(x)"
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def test_rcode_Pow():
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assert rcode(x**3) == "x^3"
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assert rcode(x**(y**3)) == "x^(y^3)"
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g = implemented_function('g', Lambda(x, 2*x))
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assert rcode(1/(g(x)*3.5)**(x - y**x)/(x**2 + y)) == \
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"(3.5*2*x)^(-x + y^x)/(x^2 + y)"
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assert rcode(x**-1.0) == '1.0/x'
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assert rcode(x**Rational(2, 3)) == 'x^(2.0/3.0)'
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_cond_cfunc = [(lambda base, exp: exp.is_integer, "dpowi"),
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(lambda base, exp: not exp.is_integer, "pow")]
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assert rcode(x**3, user_functions={'Pow': _cond_cfunc}) == 'dpowi(x, 3)'
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assert rcode(x**3.2, user_functions={'Pow': _cond_cfunc}) == 'pow(x, 3.2)'
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def test_rcode_Max():
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# Test for gh-11926
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assert rcode(Max(x,x*x),user_functions={"Max":"my_max", "Pow":"my_pow"}) == 'my_max(x, my_pow(x, 2))'
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def test_rcode_constants_mathh():
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assert rcode(exp(1)) == "exp(1)"
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assert rcode(pi) == "pi"
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assert rcode(oo) == "Inf"
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assert rcode(-oo) == "-Inf"
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def test_rcode_constants_other():
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assert rcode(2*GoldenRatio) == "GoldenRatio = 1.61803398874989;\n2*GoldenRatio"
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assert rcode(
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2*Catalan) == "Catalan = 0.915965594177219;\n2*Catalan"
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assert rcode(2*EulerGamma) == "EulerGamma = 0.577215664901533;\n2*EulerGamma"
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def test_rcode_Rational():
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assert rcode(Rational(3, 7)) == "3.0/7.0"
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assert rcode(Rational(18, 9)) == "2"
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assert rcode(Rational(3, -7)) == "-3.0/7.0"
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assert rcode(Rational(-3, -7)) == "3.0/7.0"
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assert rcode(x + Rational(3, 7)) == "x + 3.0/7.0"
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assert rcode(Rational(3, 7)*x) == "(3.0/7.0)*x"
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def test_rcode_Integer():
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assert rcode(Integer(67)) == "67"
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assert rcode(Integer(-1)) == "-1"
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def test_rcode_functions():
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assert rcode(sin(x) ** cos(x)) == "sin(x)^cos(x)"
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assert rcode(factorial(x) + gamma(y)) == "factorial(x) + gamma(y)"
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assert rcode(beta(Min(x, y), Max(x, y))) == "beta(min(x, y), max(x, y))"
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def test_rcode_inline_function():
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x = symbols('x')
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g = implemented_function('g', Lambda(x, 2*x))
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assert rcode(g(x)) == "2*x"
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g = implemented_function('g', Lambda(x, 2*x/Catalan))
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assert rcode(
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g(x)) == "Catalan = %s;\n2*x/Catalan" % Catalan.n()
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A = IndexedBase('A')
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i = Idx('i', symbols('n', integer=True))
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g = implemented_function('g', Lambda(x, x*(1 + x)*(2 + x)))
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res=rcode(g(A[i]), assign_to=A[i])
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ref=(
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"for (i in 1:n){\n"
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" A[i] = (A[i] + 1)*(A[i] + 2)*A[i];\n"
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"}"
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)
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assert res == ref
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def test_rcode_exceptions():
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assert rcode(ceiling(x)) == "ceiling(x)"
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assert rcode(Abs(x)) == "abs(x)"
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assert rcode(gamma(x)) == "gamma(x)"
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def test_rcode_user_functions():
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x = symbols('x', integer=False)
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n = symbols('n', integer=True)
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custom_functions = {
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"ceiling": "myceil",
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"Abs": [(lambda x: not x.is_integer, "fabs"), (lambda x: x.is_integer, "abs")],
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}
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assert rcode(ceiling(x), user_functions=custom_functions) == "myceil(x)"
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assert rcode(Abs(x), user_functions=custom_functions) == "fabs(x)"
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assert rcode(Abs(n), user_functions=custom_functions) == "abs(n)"
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def test_rcode_boolean():
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assert rcode(True) == "True"
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assert rcode(S.true) == "True"
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assert rcode(False) == "False"
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assert rcode(S.false) == "False"
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assert rcode(x & y) == "x & y"
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assert rcode(x | y) == "x | y"
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assert rcode(~x) == "!x"
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assert rcode(x & y & z) == "x & y & z"
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assert rcode(x | y | z) == "x | y | z"
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assert rcode((x & y) | z) == "z | x & y"
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assert rcode((x | y) & z) == "z & (x | y)"
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def test_rcode_Relational():
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assert rcode(Eq(x, y)) == "x == y"
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assert rcode(Ne(x, y)) == "x != y"
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assert rcode(Le(x, y)) == "x <= y"
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assert rcode(Lt(x, y)) == "x < y"
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assert rcode(Gt(x, y)) == "x > y"
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assert rcode(Ge(x, y)) == "x >= y"
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def test_rcode_Piecewise():
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expr = Piecewise((x, x < 1), (x**2, True))
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res=rcode(expr)
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ref="ifelse(x < 1,x,x^2)"
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assert res == ref
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tau=Symbol("tau")
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res=rcode(expr,tau)
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ref="tau = ifelse(x < 1,x,x^2);"
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assert res == ref
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expr = 2*Piecewise((x, x < 1), (x**2, x<2), (x**3,True))
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assert rcode(expr) == "2*ifelse(x < 1,x,ifelse(x < 2,x^2,x^3))"
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res = rcode(expr, assign_to='c')
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assert res == "c = 2*ifelse(x < 1,x,ifelse(x < 2,x^2,x^3));"
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# Check that Piecewise without a True (default) condition error
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#expr = Piecewise((x, x < 1), (x**2, x > 1), (sin(x), x > 0))
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#raises(ValueError, lambda: rcode(expr))
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expr = 2*Piecewise((x, x < 1), (x**2, x<2))
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assert(rcode(expr))== "2*ifelse(x < 1,x,ifelse(x < 2,x^2,NA))"
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def test_rcode_sinc():
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from sympy.functions.elementary.trigonometric import sinc
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expr = sinc(x)
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res = rcode(expr)
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ref = "ifelse(x != 0,sin(x)/x,1)"
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assert res == ref
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def test_rcode_Piecewise_deep():
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p = rcode(2*Piecewise((x, x < 1), (x + 1, x < 2), (x**2, True)))
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assert p == "2*ifelse(x < 1,x,ifelse(x < 2,x + 1,x^2))"
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expr = x*y*z + x**2 + y**2 + Piecewise((0, x < 0.5), (1, True)) + cos(z) - 1
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p = rcode(expr)
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ref="x^2 + x*y*z + y^2 + ifelse(x < 0.5,0,1) + cos(z) - 1"
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assert p == ref
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ref="c = x^2 + x*y*z + y^2 + ifelse(x < 0.5,0,1) + cos(z) - 1;"
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p = rcode(expr, assign_to='c')
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assert p == ref
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def test_rcode_ITE():
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expr = ITE(x < 1, y, z)
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p = rcode(expr)
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ref="ifelse(x < 1,y,z)"
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assert p == ref
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def test_rcode_settings():
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raises(TypeError, lambda: rcode(sin(x), method="garbage"))
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def test_rcode_Indexed():
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n, m, o = symbols('n m o', integer=True)
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i, j, k = Idx('i', n), Idx('j', m), Idx('k', o)
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p = RCodePrinter()
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p._not_r = set()
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x = IndexedBase('x')[j]
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assert p._print_Indexed(x) == 'x[j]'
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A = IndexedBase('A')[i, j]
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assert p._print_Indexed(A) == 'A[i, j]'
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B = IndexedBase('B')[i, j, k]
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assert p._print_Indexed(B) == 'B[i, j, k]'
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assert p._not_r == set()
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def test_rcode_Indexed_without_looking_for_contraction():
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len_y = 5
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y = IndexedBase('y', shape=(len_y,))
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x = IndexedBase('x', shape=(len_y,))
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Dy = IndexedBase('Dy', shape=(len_y-1,))
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i = Idx('i', len_y-1)
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e=Eq(Dy[i], (y[i+1]-y[i])/(x[i+1]-x[i]))
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code0 = rcode(e.rhs, assign_to=e.lhs, contract=False)
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assert code0 == 'Dy[i] = (y[%s] - y[i])/(x[%s] - x[i]);' % (i + 1, i + 1)
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def test_rcode_loops_matrix_vector():
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n, m = symbols('n m', integer=True)
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A = IndexedBase('A')
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x = IndexedBase('x')
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y = IndexedBase('y')
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i = Idx('i', m)
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j = Idx('j', n)
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s = (
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'for (i in 1:m){\n'
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' y[i] = 0;\n'
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'}\n'
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'for (i in 1:m){\n'
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' for (j in 1:n){\n'
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' y[i] = A[i, j]*x[j] + y[i];\n'
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' }\n'
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'}'
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)
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c = rcode(A[i, j]*x[j], assign_to=y[i])
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assert c == s
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def test_dummy_loops():
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# the following line could also be
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# [Dummy(s, integer=True) for s in 'im']
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# or [Dummy(integer=True) for s in 'im']
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i, m = symbols('i m', integer=True, cls=Dummy)
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x = IndexedBase('x')
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y = IndexedBase('y')
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i = Idx(i, m)
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expected = (
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'for (i_%(icount)i in 1:m_%(mcount)i){\n'
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' y[i_%(icount)i] = x[i_%(icount)i];\n'
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'}'
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) % {'icount': i.label.dummy_index, 'mcount': m.dummy_index}
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code = rcode(x[i], assign_to=y[i])
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assert code == expected
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def test_rcode_loops_add():
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n, m = symbols('n m', integer=True)
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A = IndexedBase('A')
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x = IndexedBase('x')
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y = IndexedBase('y')
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z = IndexedBase('z')
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i = Idx('i', m)
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j = Idx('j', n)
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s = (
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'for (i in 1:m){\n'
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' y[i] = x[i] + z[i];\n'
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'}\n'
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'for (i in 1:m){\n'
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' for (j in 1:n){\n'
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' y[i] = A[i, j]*x[j] + y[i];\n'
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' }\n'
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'}'
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)
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c = rcode(A[i, j]*x[j] + x[i] + z[i], assign_to=y[i])
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assert c == s
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def test_rcode_loops_multiple_contractions():
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n, m, o, p = symbols('n m o p', integer=True)
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a = IndexedBase('a')
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b = IndexedBase('b')
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y = IndexedBase('y')
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i = Idx('i', m)
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j = Idx('j', n)
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k = Idx('k', o)
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l = Idx('l', p)
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s = (
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'for (i in 1:m){\n'
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' y[i] = 0;\n'
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'}\n'
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'for (i in 1:m){\n'
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' for (j in 1:n){\n'
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' for (k in 1:o){\n'
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' for (l in 1:p){\n'
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' y[i] = a[i, j, k, l]*b[j, k, l] + y[i];\n'
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' }\n'
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' }\n'
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' }\n'
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'}'
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)
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c = rcode(b[j, k, l]*a[i, j, k, l], assign_to=y[i])
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assert c == s
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def test_rcode_loops_addfactor():
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n, m, o, p = symbols('n m o p', integer=True)
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a = IndexedBase('a')
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b = IndexedBase('b')
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c = IndexedBase('c')
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y = IndexedBase('y')
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i = Idx('i', m)
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j = Idx('j', n)
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k = Idx('k', o)
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l = Idx('l', p)
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s = (
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'for (i in 1:m){\n'
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||
|
|
' y[i] = 0;\n'
|
||
|
|
'}\n'
|
||
|
|
'for (i in 1:m){\n'
|
||
|
|
' for (j in 1:n){\n'
|
||
|
|
' for (k in 1:o){\n'
|
||
|
|
' for (l in 1:p){\n'
|
||
|
|
' y[i] = (a[i, j, k, l] + b[i, j, k, l])*c[j, k, l] + y[i];\n'
|
||
|
|
' }\n'
|
||
|
|
' }\n'
|
||
|
|
' }\n'
|
||
|
|
'}'
|
||
|
|
)
|
||
|
|
c = rcode((a[i, j, k, l] + b[i, j, k, l])*c[j, k, l], assign_to=y[i])
|
||
|
|
assert c == s
|
||
|
|
|
||
|
|
|
||
|
|
def test_rcode_loops_multiple_terms():
|
||
|
|
n, m, o, p = symbols('n m o p', integer=True)
|
||
|
|
a = IndexedBase('a')
|
||
|
|
b = IndexedBase('b')
|
||
|
|
c = IndexedBase('c')
|
||
|
|
y = IndexedBase('y')
|
||
|
|
i = Idx('i', m)
|
||
|
|
j = Idx('j', n)
|
||
|
|
k = Idx('k', o)
|
||
|
|
|
||
|
|
s0 = (
|
||
|
|
'for (i in 1:m){\n'
|
||
|
|
' y[i] = 0;\n'
|
||
|
|
'}\n'
|
||
|
|
)
|
||
|
|
s1 = (
|
||
|
|
'for (i in 1:m){\n'
|
||
|
|
' for (j in 1:n){\n'
|
||
|
|
' for (k in 1:o){\n'
|
||
|
|
' y[i] = b[j]*b[k]*c[i, j, k] + y[i];\n'
|
||
|
|
' }\n'
|
||
|
|
' }\n'
|
||
|
|
'}\n'
|
||
|
|
)
|
||
|
|
s2 = (
|
||
|
|
'for (i in 1:m){\n'
|
||
|
|
' for (k in 1:o){\n'
|
||
|
|
' y[i] = a[i, k]*b[k] + y[i];\n'
|
||
|
|
' }\n'
|
||
|
|
'}\n'
|
||
|
|
)
|
||
|
|
s3 = (
|
||
|
|
'for (i in 1:m){\n'
|
||
|
|
' for (j in 1:n){\n'
|
||
|
|
' y[i] = a[i, j]*b[j] + y[i];\n'
|
||
|
|
' }\n'
|
||
|
|
'}\n'
|
||
|
|
)
|
||
|
|
c = rcode(
|
||
|
|
b[j]*a[i, j] + b[k]*a[i, k] + b[j]*b[k]*c[i, j, k], assign_to=y[i])
|
||
|
|
|
||
|
|
ref={}
|
||
|
|
ref[0] = s0 + s1 + s2 + s3[:-1]
|
||
|
|
ref[1] = s0 + s1 + s3 + s2[:-1]
|
||
|
|
ref[2] = s0 + s2 + s1 + s3[:-1]
|
||
|
|
ref[3] = s0 + s2 + s3 + s1[:-1]
|
||
|
|
ref[4] = s0 + s3 + s1 + s2[:-1]
|
||
|
|
ref[5] = s0 + s3 + s2 + s1[:-1]
|
||
|
|
|
||
|
|
assert (c == ref[0] or
|
||
|
|
c == ref[1] or
|
||
|
|
c == ref[2] or
|
||
|
|
c == ref[3] or
|
||
|
|
c == ref[4] or
|
||
|
|
c == ref[5])
|
||
|
|
|
||
|
|
|
||
|
|
def test_dereference_printing():
|
||
|
|
expr = x + y + sin(z) + z
|
||
|
|
assert rcode(expr, dereference=[z]) == "x + y + (*z) + sin((*z))"
|
||
|
|
|
||
|
|
|
||
|
|
def test_Matrix_printing():
|
||
|
|
# Test returning a Matrix
|
||
|
|
mat = Matrix([x*y, Piecewise((2 + x, y>0), (y, True)), sin(z)])
|
||
|
|
A = MatrixSymbol('A', 3, 1)
|
||
|
|
p = rcode(mat, A)
|
||
|
|
assert p == (
|
||
|
|
"A[0] = x*y;\n"
|
||
|
|
"A[1] = ifelse(y > 0,x + 2,y);\n"
|
||
|
|
"A[2] = sin(z);")
|
||
|
|
# Test using MatrixElements in expressions
|
||
|
|
expr = Piecewise((2*A[2, 0], x > 0), (A[2, 0], True)) + sin(A[1, 0]) + A[0, 0]
|
||
|
|
p = rcode(expr)
|
||
|
|
assert p == ("ifelse(x > 0,2*A[2],A[2]) + sin(A[1]) + A[0]")
|
||
|
|
# Test using MatrixElements in a Matrix
|
||
|
|
q = MatrixSymbol('q', 5, 1)
|
||
|
|
M = MatrixSymbol('M', 3, 3)
|
||
|
|
m = Matrix([[sin(q[1,0]), 0, cos(q[2,0])],
|
||
|
|
[q[1,0] + q[2,0], q[3, 0], 5],
|
||
|
|
[2*q[4, 0]/q[1,0], sqrt(q[0,0]) + 4, 0]])
|
||
|
|
assert rcode(m, M) == (
|
||
|
|
"M[0] = sin(q[1]);\n"
|
||
|
|
"M[1] = 0;\n"
|
||
|
|
"M[2] = cos(q[2]);\n"
|
||
|
|
"M[3] = q[1] + q[2];\n"
|
||
|
|
"M[4] = q[3];\n"
|
||
|
|
"M[5] = 5;\n"
|
||
|
|
"M[6] = 2*q[4]/q[1];\n"
|
||
|
|
"M[7] = sqrt(q[0]) + 4;\n"
|
||
|
|
"M[8] = 0;")
|
||
|
|
|
||
|
|
|
||
|
|
def test_rcode_sgn():
|
||
|
|
|
||
|
|
expr = sign(x) * y
|
||
|
|
assert rcode(expr) == 'y*sign(x)'
|
||
|
|
p = rcode(expr, 'z')
|
||
|
|
assert p == 'z = y*sign(x);'
|
||
|
|
|
||
|
|
p = rcode(sign(2 * x + x**2) * x + x**2)
|
||
|
|
assert p == "x^2 + x*sign(x^2 + 2*x)"
|
||
|
|
|
||
|
|
expr = sign(cos(x))
|
||
|
|
p = rcode(expr)
|
||
|
|
assert p == 'sign(cos(x))'
|
||
|
|
|
||
|
|
def test_rcode_Assignment():
|
||
|
|
assert rcode(Assignment(x, y + z)) == 'x = y + z;'
|
||
|
|
assert rcode(aug_assign(x, '+', y + z)) == 'x += y + z;'
|
||
|
|
|
||
|
|
|
||
|
|
def test_rcode_For():
|
||
|
|
f = For(x, Range(0, 10, 2), [aug_assign(y, '*', x)])
|
||
|
|
sol = rcode(f)
|
||
|
|
assert sol == ("for(x in seq(from=0, to=9, by=2){\n"
|
||
|
|
" y *= x;\n"
|
||
|
|
"}")
|
||
|
|
|
||
|
|
|
||
|
|
def test_MatrixElement_printing():
|
||
|
|
# test cases for issue #11821
|
||
|
|
A = MatrixSymbol("A", 1, 3)
|
||
|
|
B = MatrixSymbol("B", 1, 3)
|
||
|
|
C = MatrixSymbol("C", 1, 3)
|
||
|
|
|
||
|
|
assert(rcode(A[0, 0]) == "A[0]")
|
||
|
|
assert(rcode(3 * A[0, 0]) == "3*A[0]")
|
||
|
|
|
||
|
|
F = C[0, 0].subs(C, A - B)
|
||
|
|
assert(rcode(F) == "(A - B)[0]")
|