def test_c_parse(): src1 = """\ int a, b = 4; float c, d = 2.4; """ expr1.convert_to_expr(src1, "c") ls = expr1.return_expr() assert ls[0] == Declaration( Variable(Symbol("a"), type=IntBaseType(String("integer")), value=Integer(0))) assert ls[1] == Declaration( Variable(Symbol("b"), type=IntBaseType(String("integer")), value=Integer(4))) assert ls[2] == Declaration( Variable( Symbol("c"), type=FloatBaseType(String("real")), value=Float("0.0", precision=53), )) assert ls[3] == Declaration( Variable( Symbol("d"), type=FloatBaseType(String("real")), value=Float("2.3999999999999999", precision=53), ))
def visit_Assignment(self, node): """Visitor Function for Assignment Visits each Assignment is the LFortran ASR and creates corresponding assignment for SymPy. Notes ===== The function currently only supports variable assignment and binary operation assignments of varying multitudes. Any type of numberS or array is not supported. Raises ====== NotImplementedError() when called for Numeric assignments or Arrays """ # TODO: Arithmatic Assignment if isinstance(node.target, asr.Variable): target = node.target value = node.value if isinstance(value, asr.Variable): new_node = Assignment(Variable(target.name), Variable(value.name)) elif type(value) == asr.BinOp: exp_ast = call_visitor(value) for expr in exp_ast: new_node = Assignment(Variable(target.name), expr) else: raise NotImplementedError("Numeric assignments not supported") else: raise NotImplementedError("Arrays not supported") self._py_ast.append(new_node)
def test_ccode_Declaration(): i = symbols('i', integer=True) var1 = Variable(i, type_=Type.from_expr(i)) dcl1 = Declaration(var1) assert ccode(dcl1) == 'int i' var2 = Variable(x, {value_const}, float32) dcl2a = Declaration(var2) assert ccode(dcl2a) == 'const float x' dcl2b = Declaration(var2, pi) assert ccode(dcl2b) == 'const float x = M_PI' var3 = Variable(y, type_=Type('bool')) dcl3 = Declaration(var3) printer = C89CodePrinter() assert 'stdbool.h' not in printer.headers assert printer.doprint(dcl3) == 'bool y' assert 'stdbool.h' in printer.headers u = symbols('u', real=True) ptr4 = Pointer.deduced(u, {pointer_const, restrict}) dcl4 = Declaration(ptr4) assert ccode(dcl4) == 'double * const restrict u' var5 = Variable(x, {value_const}, Type('__float128')) dcl5a = Declaration(var5) assert ccode(dcl5a) == 'const __float128 x' dcl5b = Declaration(var5, pi) assert ccode(dcl5b) == 'const __float128 x = M_PI'
def perform_operation(self, lhs, rhs, op): """Performs operation supported by the SymPy core Returns ======= combined_variable: list contains variable content and type of variable """ lhs_value = self.get_expr_for_operand(lhs) rhs_value = self.get_expr_for_operand(rhs) if op == '+': return [Add(lhs_value, rhs_value), 'expr'] if op == '-': return [Add(lhs_value, -rhs_value), 'expr'] if op == '*': return [Mul(lhs_value, rhs_value), 'expr'] if op == '/': return [Mul(lhs_value, Pow(rhs_value, Integer(-1))), 'expr'] if op == '%': return [Mod(lhs_value, rhs_value), 'expr'] if op in ['<', '<=', '>', '>=', '==', '!=']: return [Rel(lhs_value, rhs_value, op), 'expr'] if op == '&&': return [And(as_Boolean(lhs_value), as_Boolean(rhs_value)), 'expr'] if op == '||': return [Or(as_Boolean(lhs_value), as_Boolean(rhs_value)), 'expr'] if op == '=': return [Assignment(Variable(lhs_value), rhs_value), 'expr'] if op in ['+=', '-=', '*=', '/=', '%=']: return [aug_assign(Variable(lhs_value), op[0], rhs_value), 'expr']
def test_ccode_Declaration(): i = symbols('i', integer=True) var1 = Variable(i, type=Type.from_expr(i)) dcl1 = Declaration(var1) assert ccode(dcl1) == 'int i' var2 = Variable(x, type=float32, attrs={value_const}) dcl2a = Declaration(var2) assert ccode(dcl2a) == 'const float x' dcl2b = var2.as_Declaration(value=pi) assert ccode(dcl2b) == 'const float x = M_PI' var3 = Variable(y, type=Type('bool')) dcl3 = Declaration(var3) printer = C89CodePrinter() assert 'stdbool.h' not in printer.headers assert printer.doprint(dcl3) == 'bool y' assert 'stdbool.h' in printer.headers u = symbols('u', real=True) ptr4 = Pointer.deduced(u, attrs={pointer_const, restrict}) dcl4 = Declaration(ptr4) assert ccode(dcl4) == 'double * const restrict u' var5 = Variable(x, Type('__float128'), attrs={value_const}) dcl5a = Declaration(var5) assert ccode(dcl5a) == 'const __float128 x' var5b = Variable(var5.symbol, var5.type, pi, attrs=var5.attrs) dcl5b = Declaration(var5b) assert ccode(dcl5b) == 'const __float128 x = M_PI'
def test_mul_binop(): src1 = ( src + """\ d = a + b - c c = a * b + d s = p * q / r r = p * s + q / p """ ) expr1.convert_to_expr(src1, "f") ls1 = expr1.return_expr() for iter in range(8, 12): assert isinstance(ls1[iter], Assignment) assert ls1[8] == Assignment( Variable(Symbol("d")), Symbol("a") + Symbol("b") - Symbol("c") ) assert ls1[9] == Assignment( Variable(Symbol("c")), Symbol("a") * Symbol("b") + Symbol("d") ) assert ls1[10] == Assignment( Variable(Symbol("s")), Symbol("p") * Symbol("q") / Symbol("r") ) assert ls1[11] == Assignment( Variable(Symbol("r")), Symbol("p") * Symbol("s") + Symbol("q") / Symbol("p") )
def test_c_parse(): src1 = """\ int a, b = 4; float c, d = 2.4; """ expr1.convert_to_expr(src1, 'c') ls = expr1.return_expr() assert ls[0] == Declaration( Variable(Symbol('a'), type=IntBaseType(String('intc')))) assert ls[1] == Declaration( Variable(Symbol('b'), type=IntBaseType(String('intc')), value=Integer(4))) assert ls[2] == Declaration( Variable(Symbol('c'), type=FloatType(String('float32'), nbits=Integer(32), nmant=Integer(23), nexp=Integer(8)))) assert ls[3] == Declaration( Variable(Symbol('d'), type=FloatType(String('float32'), nbits=Integer(32), nmant=Integer(23), nexp=Integer(8)), value=Float('2.3999999999999999', precision=53)))
def test_FunctionPrototype_and_FunctionDefinition(): vx = Variable(x, type=real) vn = Variable(n, type=integer) fp1 = FunctionPrototype(real, 'power', [vx, vn]) assert fp1.return_type == real assert fp1.name == String('power') assert fp1.parameters == Tuple(vx, vn) assert fp1 == FunctionPrototype(real, 'power', [vx, vn]) assert fp1 != FunctionPrototype(real, 'power', [vn, vx]) assert fp1.func(*fp1.args) == fp1 body = [Assignment(x, x**n), Return(x)] fd1 = FunctionDefinition(real, 'power', [vx, vn], body) assert fd1.return_type == real assert str(fd1.name) == 'power' assert fd1.parameters == Tuple(vx, vn) assert fd1.body == CodeBlock(*body) assert fd1 == FunctionDefinition(real, 'power', [vx, vn], body) assert fd1 != FunctionDefinition(real, 'power', [vx, vn], body[::-1]) assert fd1.func(*fd1.args) == fd1 fp2 = FunctionPrototype.from_FunctionDefinition(fd1) assert fp2 == fp1 fd2 = FunctionDefinition.from_FunctionPrototype(fp1, body) assert fd2 == fd1
def test_Declaration(): u = symbols('u', real=True) vu = Variable(u, type=Type.from_expr(u)) assert Declaration(vu).variable.type == real vn = Variable(n, type=Type.from_expr(n)) assert Declaration(vn).variable.type == integer lt = StrictLessThan(vu, vn) assert isinstance(lt, StrictLessThan) vuc = Variable(u, Type.from_expr(u), value=3.0, attrs={value_const}) assert value_const in vuc.attrs assert pointer_const not in vuc.attrs decl = Declaration(vuc) assert decl.variable == vuc assert isinstance(decl.variable.value, Float) assert decl.variable.value == 3.0 assert decl.func(*decl.args) == decl assert vuc.as_Declaration() == decl assert vuc.as_Declaration(value=None, attrs=None) == Declaration(vu) vy = Variable(y, type=integer, value=3) decl2 = Declaration(vy) assert decl2.variable == vy assert decl2.variable.value == Integer(3) vi = Variable(i, type=Type.from_expr(i), value=3.0) decl3 = Declaration(vi) assert decl3.variable.type == integer assert decl3.variable.value == 3.0 raises(ValueError, lambda: Declaration(vi, 42))
def test_function(): c_src1 = "void fun1()" + "\n" + "{" + "\n" + "int a;" + "\n" + "}" c_src2 = ("int fun2()" + "\n" + "{" + "\n" + "int a;" + "\n" + "return a;" + "\n" + "}") c_src3 = ("float fun3()" + "\n" + "{" + "\n" + "float b;" + "\n" + "return b;" + "\n" + "}") c_src4 = "float fun4()" + "\n" + "{}" res1 = SymPyExpression(c_src1, "c").return_expr() res2 = SymPyExpression(c_src2, "c").return_expr() res3 = SymPyExpression(c_src3, "c").return_expr() res4 = SymPyExpression(c_src4, "c").return_expr() assert res1[0] == FunctionDefinition( NoneToken(), name=String("fun1"), parameters=(), body=CodeBlock( Declaration( Variable( Symbol("a"), type=IntBaseType(String("integer")), value=Integer(0), ))), ) assert res2[0] == FunctionDefinition( IntBaseType(String("integer")), name=String("fun2"), parameters=(), body=CodeBlock( Declaration( Variable( Symbol("a"), type=IntBaseType(String("integer")), value=Integer(0), )), Return("a"), ), ) assert res3[0] == FunctionDefinition( FloatBaseType(String("real")), name=String("fun3"), parameters=(), body=CodeBlock( Declaration( Variable( Symbol("b"), type=FloatBaseType(String("real")), value=Float("0.0", precision=53), )), Return("b"), ), ) assert res4[0] == FunctionPrototype(FloatBaseType(String("real")), name=String("fun4"), parameters=())
def _mk_func1(): declars = n, inp, out = Variable('n', integer), Pointer('inp', real), Pointer( 'out', real) i = Variable('i', integer) whl = While(i < n, [Assignment(out[i], inp[i]), PreIncrement(i)]) body = CodeBlock(i.as_Declaration(value=0), whl) return FunctionDefinition(void, 'our_test_function', declars, body)
def transform_parm_decl(self, node): """Transformation function for Parameter Declaration Used to create parameter nodes for the required functions for the respective nodes in the clang AST Returns ======= param : Codegen AST Node Variable node with the value nad type of the variable Raises ====== ValueError if multiple children encountered in the parameter node """ if (node.type.kind == cin.TypeKind.INT): type = IntBaseType(String('integer')) value = Integer(0) elif (node.type.kind == cin.TypeKind.FLOAT): type = FloatBaseType(String('real')) value = Float(0.0) try: children = node.get_children() child = next(children) # Any namespace nodes can be ignored while child.kind in [cin.CursorKind.NAMESPACE_REF, cin.CursorKind.TYPE_REF, cin.CursorKind.TEMPLATE_REF]: child = next(children) # If there is a child, it is the default value of the parameter. args = self.transform(child) param = Variable( node.spelling ).as_Declaration( type = args[0], value = args[1] ) except StopIteration: param = Variable( node.spelling ).as_Declaration( type = type, value = value ) try: value = self.transform(next(children)) raise ValueError("Can't handle multiple children on parameter") except StopIteration: pass return param
def test_FunctionPrototype_print(): x = symbols('x') n = symbols('n', integer=True) vx = Variable(x, type=real) vn = Variable(n, type=integer) fp1 = FunctionPrototype(real, 'power', [vx, vn]) # Should be changed to proper test once multi-line generation is working # see https://github.com/sympy/sympy/issues/15824 raises(NotImplementedError, lambda: fcode(fp1))
def test_FunctionDefinition_print(): x = symbols('x') n = symbols('n', integer=True) vx = Variable(x, type=real) vn = Variable(n, type=integer) body = [Assignment(x, x**n), Return(x)] fd1 = FunctionDefinition(real, 'power', [vx, vn], body) # Should be changed to proper test once multi-line generation is working # see https://github.com/sympy/sympy/issues/15824 raises(NotImplementedError, lambda: fcode(fd1))
def _mk_func1(): declars = n, inp, out = ( Variable("n", integer), Pointer("inp", real), Pointer("out", real), ) i = Variable("i", integer) whl = While(i < n, [Assignment(out[i], inp[i]), PreIncrement(i)]) body = CodeBlock(i.as_Declaration(value=0), whl) return FunctionDefinition(void, "our_test_function", declars, body)
def test_parse(): c_src1 = ( 'int a;' + '\n' + 'int b;' + '\n' ) c_src2 = ( 'void fun1()' + '\n' + '{' + '\n' + 'int a;' + '\n' + '}' ) f1 = open('..a.h', 'w') f2 = open('..b.h', 'w') f1.write(c_src1) f2. write(c_src2) f1.close() f2.close() res1 = SymPyExpression('..a.h', 'c').return_expr() res2 = SymPyExpression('..b.h', 'c').return_expr() os.remove('..a.h') os.remove('..b.h') assert res1[0] == Declaration( Variable( Symbol('a'), type=IntBaseType(String('integer')), value=Integer(0) ) ) assert res1[1] == Declaration( Variable( Symbol('b'), type=IntBaseType(String('integer')), value=Integer(0) ) ) assert res2[0] == FunctionDefinition( NoneToken(), name=String('fun1'), parameters=(), body=CodeBlock( Declaration( Variable( Symbol('a'), type=IntBaseType(String('integer')), value=Integer(0) ) ) ) )
def test_union(): vx, vy = Variable(x, type=float64), Variable(y, type=int64) u = union("dualuse", [vx, vy]) assert u.func(*u.args) == u assert u == union("dualuse", (vx, vy)) assert str(u.name) == "dualuse" assert len(u.declarations) == 2 assert all(isinstance(arg, Declaration) for arg in u.declarations) assert ccode(u) == ("union dualuse {\n" " double x;\n" " int64_t y;\n" "}")
def kernel_arg_local_assign(self, args_var): member_types = { "int32": lambda x: Variable(x, type=int32), "uint32": lambda x: Variable(x, type=uint32), "pint8": lambda x: Pointer(x, type=int8, attrs=(restrict, )), } return [ AssignmentEx( Declaration(member_types[kernel_arg[1]](kernel_arg[0])), StructVariable(args_var, Symbol(kernel_arg[0]))) for kernel_arg in self.kernel_args ]
def test_int(): c_src1 = 'int a = 1;' c_src2 = ('int a = 1;' + '\n' + 'int b = 2;' + '\n') c_src3 = 'int a = 2.345, b = 5.67;' c_src4 = 'int p = 6, q = 23.45;' c_src5 = "int x = '0', y = 'a';" res1 = SymPyExpression(c_src1, 'c').return_expr() res2 = SymPyExpression(c_src2, 'c').return_expr() res3 = SymPyExpression(c_src3, 'c').return_expr() res4 = SymPyExpression(c_src4, 'c').return_expr() res5 = SymPyExpression(c_src5, 'c').return_expr() assert res1[0] == Declaration( Variable(Symbol('a'), type=IntBaseType(String('integer')), value=Integer(1))) assert res2[0] == Declaration( Variable(Symbol('a'), type=IntBaseType(String('integer')), value=Integer(1))) assert res2[1] == Declaration( Variable(Symbol('b'), type=IntBaseType(String('integer')), value=Integer(2))) assert res3[0] == Declaration( Variable(Symbol('a'), type=IntBaseType(String('integer')), value=Integer(2))) assert res3[1] == Declaration( Variable(Symbol('b'), type=IntBaseType(String('integer')), value=Integer(5))) assert res4[0] == Declaration( Variable(Symbol('p'), type=IntBaseType(String('integer')), value=Integer(6))) assert res4[1] == Declaration( Variable(Symbol('q'), type=IntBaseType(String('integer')), value=Integer(23))) assert res5[0] == Declaration( Variable(Symbol('x'), type=IntBaseType(String('integer')), value=Integer(48))) assert res5[1] == Declaration( Variable(Symbol('y'), type=IntBaseType(String('integer')), value=Integer(97)))
def test_struct(): vx, vy = Variable(x, type=float64), Variable(y, type=float64) s = struct("vec2", [vx, vy]) assert s.func(*s.args) == s assert s == struct("vec2", (vx, vy)) assert s != struct("vec2", (vy, vx)) assert str(s.name) == "vec2" assert len(s.declarations) == 2 assert all(isinstance(arg, Declaration) for arg in s.declarations) assert ccode(s) == ("struct vec2 {\n" " double x;\n" " double y;\n" "}")
def test_parameters(): c_src1 = ('void fun1( int a)' + '\n' + '{' + '\n' + 'int i;' + '\n' + '}') c_src2 = ('int fun2(float x, float y)' + '\n' + '{' + '\n' + 'int a;' + '\n' + 'return a;' + '\n' + '}') c_src3 = ('float fun3(int p, float q, int r)' + '\n' + '{' + '\n' + 'float b;' + '\n' + 'return b;' + '\n' + '}') res1 = SymPyExpression(c_src1, 'c').return_expr() res2 = SymPyExpression(c_src2, 'c').return_expr() res3 = SymPyExpression(c_src3, 'c').return_expr() assert res1[0] == FunctionDefinition( NoneToken(), name=String('fun1'), parameters=(Variable(Symbol('a'), type=IntBaseType(String('integer')), value=Integer(0)), ), body=CodeBlock( Declaration( Variable(Symbol('i'), type=IntBaseType(String('integer')), value=Integer(0))))) assert res2[0] == FunctionDefinition( IntBaseType(String('integer')), name=String('fun2'), parameters=(Variable(Symbol('x'), type=FloatBaseType(String('real')), value=Float('0.0', precision=53)), Variable(Symbol('y'), type=FloatBaseType(String('real')), value=Float('0.0', precision=53))), body=CodeBlock( Declaration( Variable(Symbol('a'), type=IntBaseType(String('integer')), value=Integer(0))), Return('a'))) assert res3[0] == FunctionDefinition( FloatBaseType(String('real')), name=String('fun3'), parameters=(Variable(Symbol('p'), type=IntBaseType(String('integer')), value=Integer(0)), Variable(Symbol('q'), type=FloatBaseType(String('real')), value=Float('0.0', precision=53)), Variable(Symbol('r'), type=IntBaseType(String('integer')), value=Integer(0))), body=CodeBlock( Declaration( Variable(Symbol('b'), type=FloatBaseType(String('real')), value=Float('0.0', precision=53))), Return('b')))
def array(symbol, dim, intent=None, **kwargs): """ Convenience function for creating a Variable instance for a Fortran array Parameters ========== symbol : symbol dim : Attribute or iterable If dim is an ``Attribute`` it need to have the name 'dimension'. If it is not an ``Attribute``, then it is passsed to :func:`dimension` as ``*dim`` intent : str One of: 'in', 'out', 'inout' or None \\*\\*kwargs: Keyword arguments for ``Variable`` ('type' & 'value') Examples ======== >>> from sympy.printing import fcode >>> from sympy.codegen.ast import integer, real >>> from sympy.codegen.fnodes import array >>> arr = array('a', '*', 'in', type=integer) >>> print(fcode(arr.as_Declaration(), source_format='free', standard=2003)) integer*4, dimension(*), intent(in) :: a >>> x = array('x', [3, ':', ':'], intent='out', type=real) >>> print(fcode(x.as_Declaration(value=1), source_format='free', standard=2003)) real*8, dimension(3, :, :), intent(out) :: x = 1 """ if isinstance(dim, Attribute): if str(dim.name) != 'dimension': raise ValueError( "Got an unexpected Attribute argument as dim: %s" % str(dim)) else: dim = dimension(*dim) attrs = list(kwargs.pop('attrs', [])) + [dim] if intent is not None: if intent not in (intent_in, intent_out, intent_inout): intent = { 'in': intent_in, 'out': intent_out, 'inout': intent_inout }[intent] attrs.append(intent) value = kwargs.pop('value', None) type_ = kwargs.pop('type', None) if type_ is None: return Variable.deduced(symbol, value=value, attrs=attrs) else: return Variable(symbol, type_, value=value, attrs=attrs)
def test_var(): expr1.convert_to_expr(src, "f") ls = expr1.return_expr() for iter in expr1.return_expr(): assert isinstance(iter, Declaration) assert ls[0] == Declaration( Variable(Symbol("a"), type=IntBaseType(String("integer")), value=Integer(0)) ) assert ls[1] == Declaration( Variable(Symbol("b"), type=IntBaseType(String("integer")), value=Integer(0)) ) assert ls[2] == Declaration( Variable(Symbol("c"), type=IntBaseType(String("integer")), value=Integer(0)) ) assert ls[3] == Declaration( Variable(Symbol("d"), type=IntBaseType(String("integer")), value=Integer(0)) ) assert ls[4] == Declaration( Variable(Symbol("p"), type=FloatBaseType(String("real")), value=Float(0.0)) ) assert ls[5] == Declaration( Variable(Symbol("q"), type=FloatBaseType(String("real")), value=Float(0.0)) ) assert ls[6] == Declaration( Variable(Symbol("r"), type=FloatBaseType(String("real")), value=Float(0.0)) ) assert ls[7] == Declaration( Variable(Symbol("s"), type=FloatBaseType(String("real")), value=Float(0.0)) )
def test_function(): src1 = """\ integer function f(a,b) integer :: x, y f = x + y end function """ expr1.convert_to_expr(src1, "f") for iter in expr1.return_expr(): assert isinstance(iter, FunctionDefinition) assert iter == FunctionDefinition( IntBaseType(String("integer")), name=String("f"), parameters=(Variable(Symbol("a")), Variable(Symbol("b"))), body=CodeBlock( Declaration( Variable( Symbol("a"), type=IntBaseType(String("integer")), value=Integer(0), ) ), Declaration( Variable( Symbol("b"), type=IntBaseType(String("integer")), value=Integer(0), ) ), Declaration( Variable( Symbol("f"), type=IntBaseType(String("integer")), value=Integer(0), ) ), Declaration( Variable( Symbol("x"), type=IntBaseType(String("integer")), value=Integer(0), ) ), Declaration( Variable( Symbol("y"), type=IntBaseType(String("integer")), value=Integer(0), ) ), Assignment(Variable(Symbol("f")), Add(Symbol("x"), Symbol("y"))), Return(Variable(Symbol("f"))), ), )
def test_C99CodePrinter_custom_type(): # We will look at __float128 (new in glibc 2.26) f128 = FloatType('_Float128', float128.nbits, float128.nmant, float128.nexp) p128 = C99CodePrinter( dict(type_aliases={real: f128}, type_literal_suffixes={f128: 'Q'}, type_func_suffixes={f128: 'f128'}, type_math_macro_suffixes={ real: 'f128', f128: 'f128' }, type_macros={f128: ('__STDC_WANT_IEC_60559_TYPES_EXT__', )})) assert p128.doprint(x) == 'x' assert not p128.headers assert not p128.libraries assert not p128.macros assert p128.doprint(2.0) == '2.0Q' assert not p128.headers assert not p128.libraries assert p128.macros == {'__STDC_WANT_IEC_60559_TYPES_EXT__'} assert p128.doprint(Rational(1, 2)) == '1.0Q/2.0Q' assert p128.doprint(sin(x)) == 'sinf128(x)' assert p128.doprint(cos(2., evaluate=False)) == 'cosf128(2.0Q)' var5 = Variable(x, {value_const}, f128) dcl5a = Declaration(var5) assert ccode(dcl5a) == 'const _Float128 x' dcl5b = Declaration(var5, pi) assert p128.doprint(dcl5b) == 'const _Float128 x = M_PIf128' dcl5c = Declaration(var5, Catalan.evalf(38)) assert p128.doprint(dcl5c) == 'const _Float128 x = %sQ' % Catalan.evalf( f128.decimal_dig)
def newtons_method_function(expr, wrt, params=None, func_name="newton", attrs=Tuple(), **kwargs): """ Generates an AST for a function implementing the Newton-Raphson method. Parameters ========== expr : expression wrt : Symbol With respect to, i.e. what is the variable params : iterable of symbols Symbols appearing in expr that are taken as constants during the iterations (these will be accepted as parameters to the generated function). func_name : str Name of the generated function. attrs : Tuple Attribute instances passed as ``attrs`` to ``FunctionDefinition``. \\*\\*kwargs : Keyword arguments passed to :func:`sympy.codegen.algorithms.newtons_method`. Examples ======== >>> from sympy import symbols, cos >>> from sympy.codegen.algorithms import newtons_method_function >>> from sympy.codegen.pyutils import render_as_module >>> from sympy.core.compatibility import exec_ >>> x = symbols('x') >>> expr = cos(x) - x**3 >>> func = newtons_method_function(expr, x) >>> py_mod = render_as_module(func) # source code as string >>> namespace = {} >>> exec_(py_mod, namespace, namespace) >>> res = eval('newton(0.5)', namespace) >>> abs(res - 0.865474033102) < 1e-12 True See Also ======== sympy.codegen.algorithms.newtons_method """ if params is None: params = (wrt,) pointer_subs = {p.symbol: Symbol('(*%s)' % p.symbol.name) for p in params if isinstance(p, Pointer)} delta = kwargs.pop('delta', None) if delta is None: delta = Symbol('d_' + wrt.name) if expr.has(delta): delta = None # will use Dummy algo = newtons_method(expr, wrt, delta=delta, **kwargs).xreplace(pointer_subs) if isinstance(algo, Scope): algo = algo.body not_in_params = expr.free_symbols.difference(set(_symbol_of(p) for p in params)) if not_in_params: raise ValueError("Missing symbols in params: %s" % ', '.join(map(str, not_in_params))) declars = tuple(Variable(p, real) for p in params) body = CodeBlock(algo, Return(wrt)) return FunctionDefinition(real, func_name, declars, body, attrs=attrs)
def test_binop_add(): src1 = (src + """\ c = a + b d = a + c s = p + q + r """) expr1.convert_to_expr(src1, 'f') ls1 = expr1.return_expr() for iter in range(8, 11): assert isinstance(ls1[iter], Assignment) assert ls1[8] == Assignment(Variable(Symbol('c')), Symbol('a') + Symbol('b')) assert ls1[9] == Assignment(Variable(Symbol('d')), Symbol('a') + Symbol('c')) assert ls1[10] == Assignment(Variable(Symbol('s')), Symbol('p') + Symbol('q') + Symbol('r'))
def _var(arg): if isinstance(arg, Declaration): return arg.variable elif isinstance(arg, Variable): return arg else: return Variable.deduced(arg)
def test_Variable(): v = Variable(x, type_=Type('real')) assert v.symbol == x assert v.type == real assert v.value_const == False w = Variable(y, {value_const}, f32) assert w.symbol == y assert w.type == f32 assert w.value_const v_n = Variable(n, type_=Type.from_expr(n)) assert v_n.type == integer v_i = Variable(i, type_=Type.from_expr(n)) assert v_i.type == integer a_i = Variable.deduced(i) assert a_i.type == integer
def test_ccode_codegen_ast(): assert ccode(Comment("this is a comment")) == "// this is a comment" assert ccode(While(abs(x) > 1, [aug_assign(x, '-', 1)])) == ('while (fabs(x) > 1) {\n' ' x -= 1;\n' '}') assert ccode(Scope([AddAugmentedAssignment(x, 1)])) == ('{\n' ' x += 1;\n' '}') inp_x = Declaration(Variable(x, type=real)) assert ccode(FunctionPrototype(real, 'pwer', [inp_x])) == 'double pwer(double x)' assert ccode( FunctionDefinition( real, 'pwer', [inp_x], [Assignment(x, x**2)])) == ('double pwer(double x){\n' ' x = pow(x, 2);\n' '}') # Elements of CodeBlock are formatted as statements: block = CodeBlock( x, Print([x, y], "%d %d"), FunctionCall('pwer', [x]), Return(x), ) assert ccode(block) == '\n'.join([ 'x;', 'printf("%d %d", x, y);', 'pwer(x);', 'return x;', ])
def visit_Variable(self, node): """Visitor Function for Variable Declaration Visits each variable declaration present in the ASR and creates a Symbol declaration for each variable Notes ===== The functions currently only support declaration of integer and real variables. Other data types are still under development. Raises ====== NotImplementedError() when called for unsupported data types """ if isinstance(node.type, asr.Integer): var_type = IntBaseType(String('integer')) value = Integer(0) elif isinstance(node.type, asr.Real): var_type = FloatBaseType(String('real')) value = Float(0.0) else: raise NotImplementedError("Data type not supported") if not (node.intent == 'in'): new_node = Variable(node.name).as_Declaration(type=var_type, value=value) self._py_ast.append(new_node)
def test_Subroutine(): # Code to generate the subroutine in the example from # http://www.fortran90.org/src/best-practices.html#arrays r = Symbol('r', real=True) i = Symbol('i', integer=True) v_r = Variable.deduced(r, attrs=(dimension(assumed_extent), intent_out)) v_i = Variable.deduced(i) v_n = Variable('n', integer) do_loop = Do([ Assignment(Element(r, [i]), literal_dp(1)/i**2) ], i, 1, v_n) sub = Subroutine("f", [v_r], [ Declaration(v_n), Declaration(v_i), Assignment(v_n, size(r)), do_loop ]) x = Symbol('x', real=True) v_x3 = Variable.deduced(x, attrs=[dimension(3)]) mod = Module('mymod', definitions=[sub]) prog = Program('foo', [ use(mod, only=[sub]), Declaration(v_x3), SubroutineCall(sub, [v_x3]), Print([sum_(v_x3), v_x3]) ]) if not has_fortran(): skip("No fortran compiler found.") (stdout, stderr), info = compile_run_strings([ ('a.f90', fcode(mod, standard=90)), ('b.f90', fcode(prog, standard=90)) ], clean=True) ref = [1.0/i**2 for i in range(1, 4)] assert str(sum(ref))[:-3] in stdout for _ in ref: assert str(_)[:-3] in stdout assert stderr == ''
def test_Program(): x = Symbol('x', real=True) vx = Variable.deduced(x, 42) decl = Declaration(vx) prnt = Print([x, x+1]) prog = Program('foo', [decl, prnt]) if not has_fortran(): skip("No fortran compiler found.") (stdout, stderr), info = compile_run_strings([('main.f90', fcode(prog, standard=90))], clean=True) assert '42' in stdout assert '43' in stdout assert stderr == '' assert info['exit_status'] == os.EX_OK
def array(symbol, dim, intent=None, **kwargs): """ Convenience function for creating a Variable instance for a Fortran array Parameters ========== symbol : symbol dim : Attribute or iterable If dim is an ``Attribute`` it need to have the name 'dimension'. If it is not an ``Attribute``, then it is passsed to :func:`dimension` as ``*dim`` intent : str One of: 'in', 'out', 'inout' or None \\*\\*kwargs: Keyword arguments for ``Variable`` ('type' & 'value') Examples ======== >>> from sympy.printing import fcode >>> from sympy.codegen.ast import integer, real >>> from sympy.codegen.fnodes import array >>> arr = array('a', '*', 'in', type=integer) >>> print(fcode(arr.as_Declaration(), source_format='free', standard=2003)) integer*4, dimension(*), intent(in) :: a >>> x = array('x', [3, ':', ':'], intent='out', type=real) >>> print(fcode(x.as_Declaration(value=1), source_format='free', standard=2003)) real*8, dimension(3, :, :), intent(out) :: x = 1 """ if isinstance(dim, Attribute): if str(dim.name) != 'dimension': raise ValueError("Got an unexpected Attribute argument as dim: %s" % str(dim)) else: dim = dimension(*dim) attrs = list(kwargs.pop('attrs', [])) + [dim] if intent is not None: if intent not in (intent_in, intent_out, intent_inout): intent = {'in': intent_in, 'out': intent_out, 'inout': intent_inout}[intent] attrs.append(intent) value = kwargs.pop('value', None) type_ = kwargs.pop('type', None) if type_ is None: return Variable.deduced(symbol, value=value, attrs=attrs) else: return Variable(symbol, type_, value=value, attrs=attrs)
def test_Module(): x = Symbol('x', real=True) v_x = Variable.deduced(x) sq = FunctionDefinition(real, 'sqr', [v_x], [Return(x**2)]) mod_sq = Module('mod_sq', [], [sq]) sq_call = FunctionCall('sqr', [42.]) prg_sq = Program('foobar', [ use('mod_sq', only=['sqr']), Print(['"Square of 42 = "', sq_call]) ]) if not has_fortran(): skip("No fortran compiler found.") (stdout, stderr), info = compile_run_strings([ ('mod_sq.f90', fcode(mod_sq, standard=90)), ('main.f90', fcode(prg_sq, standard=90)) ], clean=True) assert '42' in stdout assert str(42**2) in stdout assert stderr == ''
def test_fcode_Declaration(): def check(expr, ref, **kwargs): assert fcode(expr, standard=95, source_format='free', **kwargs) == ref i = symbols('i', integer=True) var1 = Variable.deduced(i) dcl1 = Declaration(var1) check(dcl1, "integer*4 :: i") x, y = symbols('x y') var2 = Variable(x, float32, value=42, attrs={value_const}) dcl2b = Declaration(var2) check(dcl2b, 'real*4, parameter :: x = 42') var3 = Variable(y, type=bool_) dcl3 = Declaration(var3) check(dcl3, 'logical :: y') check(float32, "real*4") check(float64, "real*8") check(real, "real*4", type_aliases={real: float32}) check(real, "real*8", type_aliases={real: float64})
def _mk_func1(): declars = n, inp, out = Variable('n', integer), Pointer('inp', real), Pointer('out', real) i = Variable('i', integer) whl = While(i<n, [Assignment(out[i], inp[i]), PreIncrement(i)]) body = CodeBlock(i.as_Declaration(value=0), whl) return FunctionDefinition(void, 'our_test_function', declars, body)
def newtons_method(expr, wrt, atol=1e-12, delta=None, debug=False, itermax=None, counter=None): """ Generates an AST for Newton-Raphson method (a root-finding algorithm). Returns an abstract syntax tree (AST) based on ``sympy.codegen.ast`` for Netwon's method of root-finding. Parameters ========== expr : expression wrt : Symbol With respect to, i.e. what is the variable. atol : number or expr Absolute tolerance (stopping criterion) delta : Symbol Will be a ``Dummy`` if ``None``. debug : bool Whether to print convergence information during iterations itermax : number or expr Maximum number of iterations. counter : Symbol Will be a ``Dummy`` if ``None``. Examples ======== >>> from sympy import symbols, cos >>> from sympy.codegen.ast import Assignment >>> from sympy.codegen.algorithms import newtons_method >>> x, dx, atol = symbols('x dx atol') >>> expr = cos(x) - x**3 >>> algo = newtons_method(expr, x, atol, dx) >>> algo.has(Assignment(dx, -expr/expr.diff(x))) True References ========== .. [1] https://en.wikipedia.org/wiki/Newton%27s_method """ if delta is None: delta = Dummy() Wrapper = Scope name_d = 'delta' else: Wrapper = lambda x: x name_d = delta.name delta_expr = -expr/expr.diff(wrt) whl_bdy = [Assignment(delta, delta_expr), AddAugmentedAssignment(wrt, delta)] if debug: prnt = Print([wrt, delta], r"{0}=%12.5g {1}=%12.5g\n".format(wrt.name, name_d)) whl_bdy = [whl_bdy[0], prnt] + whl_bdy[1:] req = Gt(Abs(delta), atol) declars = [Declaration(Variable(delta, type=real, value=oo))] if itermax is not None: counter = counter or Dummy(integer=True) v_counter = Variable.deduced(counter, 0) declars.append(Declaration(v_counter)) whl_bdy.append(AddAugmentedAssignment(counter, 1)) req = And(req, Lt(counter, itermax)) whl = While(req, CodeBlock(*whl_bdy)) blck = declars + [whl] return Wrapper(CodeBlock(*blck))
def test_Variable(): v = Variable(x, type=real) assert v == Variable(v) assert v == Variable('x', type=real) assert v.symbol == x assert v.type == real assert value_const not in v.attrs assert v.func(*v.args) == v assert str(v) == 'Variable(x, type=real)' w = Variable(y, f32, attrs={value_const}) assert w.symbol == y assert w.type == f32 assert value_const in w.attrs assert w.func(*w.args) == w v_n = Variable(n, type=Type.from_expr(n)) assert v_n.type == integer assert v_n.func(*v_n.args) == v_n v_i = Variable(i, type=Type.from_expr(n)) assert v_i.type == integer assert v_i != v_n a_i = Variable.deduced(i) assert a_i.type == integer assert Variable.deduced(Symbol('x', real=True)).type == real assert a_i.func(*a_i.args) == a_i v_n2 = Variable.deduced(n, value=3.5, cast_check=False) assert v_n2.func(*v_n2.args) == v_n2 assert abs(v_n2.value - 3.5) < 1e-15 raises(ValueError, lambda: Variable.deduced(n, value=3.5, cast_check=True)) v_n3 = Variable.deduced(n) assert v_n3.type == integer assert str(v_n3) == 'Variable(n, type=integer)' assert Variable.deduced(z, value=3).type == integer assert Variable.deduced(z, value=3.0).type == real assert Variable.deduced(z, value=3.0+1j).type == complex_