I read integrals from a file. They all are stored as strings.
Then use SR('expression') inside sagemath to convert them to sagemath
symbolic expression before calling integrate.
Some give parsing error.
Is using SR('expression') not the correct way to convert string to a
symbolic expression?
I am using 9.8 on Linux. Here is an example
>sage
│ SageMath version 9.8, Release Date: 2023-02-11 │
│ Using Python 3.11.1. Type "help()" for help. │
sage: hypergeometric((3/2,), (5/2, 3), -1/4*3^2)
hypergeometric((3/2,), (5/2, 3), -9/4)
You see, there is no error. But now if put the expression inside string and
use SR, it gives error:
sage: SR('hypergeometric((3/2,), (5/2, 3), -1/4*3^2)')
---------------------------------------------------------------------------
SyntaxError Traceback (most recent call last)
File ~/TMP/sage-9.8/src/sage/symbolic/expression.pyx:13706, in
sage.symbolic.expression.new_Expression()
13705 from sage.calculus.calculus import
symbolic_expression_from_string
> 13706 return parent(symbolic_expression_from_string(x))
13707 except SyntaxError as err:
File ~/TMP/sage-9.8/src/sage/calculus/calculus.py:2578, in
symbolic_expression_from_string(s, syms, accept_sequence, parser)
2576 parser._callable_constructor().set_names({k[0]: v for k, v in
syms.items()
2577 if _is_function(v)})
-> 2578 return parse_func(s)
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:556, in
sage.misc.parser.Parser.parse_expression()
555
--> 556 cpdef parse_expression(self, s):
557 """
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:568, in
sage.misc.parser.Parser.parse_expression()
567 cdef Tokenizer tokens = Tokenizer(s)
--> 568 expr = self.p_expr(tokens)
569 if tokens.next() != EOS:
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:792, in
sage.misc.parser.Parser.p_expr()
791 cdef int op
--> 792 operand1 = self.p_term(tokens)
793 op = tokens.next()
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:826, in
sage.misc.parser.Parser.p_term()
825 cdef int op
--> 826 operand1 = self.p_factor(tokens)
827 op = tokens.next()
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:869, in
sage.misc.parser.Parser.p_factor()
868 tokens.backtrack()
--> 869 return self.p_power(tokens)
870
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:897, in
sage.misc.parser.Parser.p_power()
896 """
--> 897 operand1 = self.p_atom(tokens)
898 cdef int token = tokens.next()
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:952, in
sage.misc.parser.Parser.p_atom()
951 func = self.callable_constructor(name)
--> 952 args, kwds = self.p_args(tokens)
953 token = tokens.next()
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:989, in
sage.misc.parser.Parser.p_args()
988 while token == c',':
--> 989 arg = self.p_arg(tokens)
990 if isinstance(arg, tuple):
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:1039, in
sage.misc.parser.Parser.p_arg()
1038 tokens.backtrack()
-> 1039 return self.p_expr(tokens)
1040
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:792, in
sage.misc.parser.Parser.p_expr()
791 cdef int op
--> 792 operand1 = self.p_term(tokens)
793 op = tokens.next()
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:826, in
sage.misc.parser.Parser.p_term()
825 cdef int op
--> 826 operand1 = self.p_factor(tokens)
827 op = tokens.next()
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:869, in
sage.misc.parser.Parser.p_factor()
868 tokens.backtrack()
--> 869 return self.p_power(tokens)
870
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:897, in
sage.misc.parser.Parser.p_power()
896 """
--> 897 operand1 = self.p_atom(tokens)
898 cdef int token = tokens.next()
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:964, in
sage.misc.parser.Parser.p_atom()
963 if token != c')':
--> 964 self.parse_error(tokens, "Mismatched parentheses")
965 return expr
File ~/TMP/sage-9.8/src/sage/misc/parser.pyx:1042, in
sage.misc.parser.Parser.parse_error()
1041 cdef parse_error(self, Tokenizer tokens, msg="Malformed
expression"):
-> 1042 raise SyntaxError(msg, tokens.s, tokens.pos)
1043
SyntaxError: Mismatched parentheses
During handling of the above exception, another exception occurred:
TypeError Traceback (most recent call last)
Cell In [19], line 1
----> 1 SR('hypergeometric((3/2,), (5/2, 3), -1/4*3^2)')
File ~/TMP/sage-9.8/src/sage/structure/parent.pyx:896, in
sage.structure.parent.Parent.__call__()
894 if mor is not None:
895 if no_extra_args:
--> 896 return mor._call_(x)
897 else:
898 return mor._call_with_args(x, args, kwds)
File ~/TMP/sage-9.8/src/sage/structure/coerce_maps.pyx:161, in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
159 print(type(C), C)
160 print(type(C._element_constructor),
C._element_constructor)
--> 161 raise
162
163 cpdef Element _call_with_args(self, x, args=(), kwds={}):
File ~/TMP/sage-9.8/src/sage/structure/coerce_maps.pyx:156, in
sage.structure.coerce_maps.DefaultConvertMap_unique._call_()
154 cdef Parent C = self._codomain
155 try:
--> 156 return C._element_constructor(x)
157 except Exception:
158 if print_warnings:
File ~/TMP/sage-9.8/src/sage/symbolic/ring.pyx:384, in
sage.symbolic.ring.SymbolicRing._element_constructor_()
382 TypeError: Malformed expression: λ + * !!! 1
383 """
--> 384 return new_Expression(self, x)
385
386 def _force_pyobject(self, x, bint force=False, bint recursive=True):
File ~/TMP/sage-9.8/src/sage/symbolic/expression.pyx:13709, in
sage.symbolic.expression.new_Expression()
13707 except SyntaxError as err:
13708 msg, s, pos = err.args
> 13709 raise TypeError("%s: %s !!! %s" % (msg, s[:pos], s[pos:]))
13710
13711 from sage.rings.infinity import (infinity, minus_infinity,
TypeError: Mismatched parentheses: hypergeometric((3/2, !!! ), (5/2, 3),
-1/4*3^2)
sage:
Is this a bug or Am I doing something wrong? This happens on very few
cases, not all the time. The above is an example where SR gives an error.
Thanks
--Nasser
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