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_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]")
def test_rcode_user_functions(): x = symbols('x', integer=False) n = symbols('n', integer=True) custom_functions = { "ceiling": "myceil", "Abs": [(lambda x: not x.is_integer, "fabs"), (lambda x: x.is_integer, "abs")], } assert rcode(ceiling(x), user_functions=custom_functions) == "myceil(x)" assert rcode(Abs(x), user_functions=custom_functions) == "fabs(x)" assert rcode(Abs(n), user_functions=custom_functions) == "abs(n)"
def test_rcode_inline_function(): x = symbols('x') g = implemented_function('g', Lambda(x, 2 * x)) assert rcode(g(x)) == "2*x" g = implemented_function('g', Lambda(x, 2 * x / Catalan)) assert rcode(g(x)) == "Catalan = %s;\n2*x/Catalan" % Catalan.n() A = IndexedBase('A') i = Idx('i', symbols('n', integer=True)) g = implemented_function('g', Lambda(x, x * (1 + x) * (2 + x))) res = rcode(g(A[i]), assign_to=A[i]) ref = ("for (i in 1:n){\n" " A[i] = (A[i] + 1)*(A[i] + 2)*A[i];\n" "}") assert res == ref
def test_rcode_Piecewise_deep(): p = rcode(2 * Piecewise((x, x < 1), (x + 1, x < 2), (x**2, True))) assert p == "2*ifelse(x < 1,x,ifelse(x < 2,x + 1,x^2))" expr = x * y * z + x**2 + y**2 + Piecewise((0, x < 0.5), (1, True)) + cos(z) - 1 p = rcode(expr) ref = "x^2 + x*y*z + y^2 + ifelse(x < 0.5,0,1) + cos(z) - 1" assert p == ref ref = "c = x^2 + x*y*z + y^2 + ifelse(x < 0.5,0,1) + cos(z) - 1;" p = rcode(expr, assign_to='c') assert p == ref
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_loops_addfactor(): 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) l = Idx('l', p) s = ( 'for (i in 1:m){\n' ' 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_Max(): # Test for gh-11926 assert rcode(Max(x, x * x), user_functions={ "Max": "my_max", "Pow": "my_pow" }) == 'my_max(x, my_pow(x, 2))'
def Rcode(obj): if isinstance(obj, Expr): res = rcode(obj) elif isinstance(obj, MutableDenseMatrix): res = matrix2matrix(obj) else: res = str(obj) return (res)
def test_rcode_Indexed_without_looking_for_contraction(): len_y = 5 y = IndexedBase('y', shape=(len_y, )) x = IndexedBase('x', shape=(len_y, )) Dy = IndexedBase('Dy', shape=(len_y - 1, )) i = Idx('i', len_y - 1) e = Eq(Dy[i], (y[i + 1] - y[i]) / (x[i + 1] - x[i])) code0 = rcode(e.rhs, assign_to=e.lhs, contract=False) assert code0 == 'Dy[i] = (y[%s] - y[i])/(x[%s] - x[i]);' % (i + 1, i + 1)
def test_rcode_Piecewise(): expr = Piecewise((x, x < 1), (x**2, True)) res = rcode(expr) ref = "ifelse(x < 1,x,x^2)" assert res == ref tau = Symbol("tau") res = rcode(expr, tau) ref = "tau = ifelse(x < 1,x,x^2);" assert res == ref expr = 2 * Piecewise((x, x < 1), (x**2, x < 2), (x**3, True)) assert rcode(expr) == "2*ifelse(x < 1,x,ifelse(x < 2,x^2,x^3))" res = rcode(expr, assign_to='c') assert res == "c = 2*ifelse(x < 1,x,ifelse(x < 2,x^2,x^3));" # Check that Piecewise without a True (default) condition error #expr = Piecewise((x, x < 1), (x**2, x > 1), (sin(x), x > 0)) #raises(ValueError, lambda: rcode(expr)) expr = 2 * Piecewise((x, x < 1), (x**2, x < 2)) assert (rcode(expr)) == "2*ifelse(x < 1,x,ifelse(x < 2,x^2,NA))"
def test_rcode_Rational(): assert rcode(Rational(3, 7)) == "3.0/7.0" assert rcode(Rational(18, 9)) == "2" assert rcode(Rational(3, -7)) == "-3.0/7.0" assert rcode(Rational(-3, -7)) == "3.0/7.0" assert rcode(x + Rational(3, 7)) == "x + 3.0/7.0" assert rcode(Rational(3, 7) * x) == "(3.0/7.0)*x"
def test_rcode_Relational(): assert rcode(Eq(x, y)) == "x == y" assert rcode(Ne(x, y)) == "x != y" assert rcode(Le(x, y)) == "x <= y" assert rcode(Lt(x, y)) == "x < y" assert rcode(Gt(x, y)) == "x > y" assert rcode(Ge(x, y)) == "x >= y"
def test_rcode_Pow(): assert rcode(x**3) == "x^3" assert rcode(x**(y**3)) == "x^(y^3)" g = implemented_function('g', Lambda(x, 2 * x)) assert rcode(1/(g(x)*3.5)**(x - y**x)/(x**2 + y)) == \ "(3.5*2*x)^(-x + y^x)/(x^2 + y)" assert rcode(x**-1.0) == '1.0/x' assert rcode(x**Rational(2, 3)) == 'x^(2.0/3.0)' _cond_cfunc = [(lambda base, exp: exp.is_integer, "dpowi"), (lambda base, exp: not exp.is_integer, "pow")] assert rcode(x**3, user_functions={'Pow': _cond_cfunc}) == 'dpowi(x, 3)' assert rcode(x**3.2, user_functions={'Pow': _cond_cfunc}) == 'pow(x, 3.2)'
def test_dummy_loops(): # the following line could also be # [Dummy(s, integer=True) for s in 'im'] # or [Dummy(integer=True) for s in 'im'] i, m = symbols('i m', integer=True, cls=Dummy) x = IndexedBase('x') y = IndexedBase('y') i = Idx(i, m) expected = ('for (i_%(icount)i in 1:m_%(mcount)i){\n' ' y[i_%(icount)i] = x[i_%(icount)i];\n' '}') % { 'icount': i.label.dummy_index, 'mcount': m.dummy_index } code = rcode(x[i], assign_to=y[i]) assert code == expected
def test_rcode_loops_matrix_vector(): n, m = symbols('n m', integer=True) A = IndexedBase('A') x = IndexedBase('x') y = IndexedBase('y') i = Idx('i', m) j = Idx('j', n) s = ('for (i in 1:m){\n' ' y[i] = 0;\n' '}\n' 'for (i in 1:m){\n' ' for (j in 1:n){\n' ' y[i] = A[i, j]*x[j] + y[i];\n' ' }\n' '}') c = rcode(A[i, j] * x[j], 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 = dict() 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_rcode_loops_multiple_contractions(): n, m, o, p = symbols('n m o p', integer=True) a = IndexedBase('a') b = IndexedBase('b') y = IndexedBase('y') i = Idx('i', m) j = Idx('j', n) k = Idx('k', o) l = Idx('l', p) s = ('for (i in 1:m){\n' ' 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[j, k, l] + y[i];\n' ' }\n' ' }\n' ' }\n' '}') c = rcode(b[j, k, l] * a[i, j, k, l], assign_to=y[i]) assert c == s
def print_in_r(expr): return rcode(expr)
def test_printmethod(): class fabs(Abs): def _rcode(self, printer): return "abs(%s)" % printer._print(self.args[0]) assert rcode(fabs(x)) == "abs(x)"
def test_rcode_functions(): assert rcode(sin(x)**cos(x)) == "sin(x)^cos(x)" assert rcode(factorial(x) + gamma(y)) == "factorial(x) + gamma(y)" assert rcode(beta(Min(x, y), Max(x, y))) == "beta(min(x, y), max(x, y))"
def test_rcode_Integer(): assert rcode(Integer(67)) == "67" assert rcode(Integer(-1)) == "-1"
def test_rcode_ITE(): expr = ITE(x < 1, y, z) p = rcode(expr) ref = "ifelse(x < 1,y,z)" assert p == ref
def test_rcode_constants_other(): assert rcode( 2 * GoldenRatio) == "GoldenRatio = 1.61803398874989;\n2*GoldenRatio" assert rcode(2 * Catalan) == "Catalan = 0.915965594177219;\n2*Catalan" assert rcode(2 * EulerGamma) == "EulerGamma = 0.577215664901533;\n2*EulerGamma"
def test_rcode_constants_mathh(): assert rcode(exp(1)) == "exp(1)" assert rcode(pi) == "pi" assert rcode(oo) == "Inf" assert rcode(-oo) == "-Inf"
def test_rcode_settings(): raises(TypeError, lambda: rcode(sin(x), method="garbage"))
def test_rcode_sqrt(): assert rcode(sqrt(x)) == "sqrt(x)" assert rcode(x**0.5) == "sqrt(x)" assert rcode(sqrt(x)) == "sqrt(x)"
def test_rcode_For(): f = For(x, Range(0, 10, 2), [aug_assign(y, '*', x)]) sol = rcode(f) assert sol == ("for (x = 0; x < 10; x += 2) {\n" " y *= x;\n" "}")
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_dereference_printing(): expr = x + y + sin(z) + z assert rcode(expr, dereference=[z]) == "x + y + (*z) + sin((*z))"