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│ SageMath version 9.3, Release Date: 2021-05-09 │ | |
│ Using Python 3.9.5. Type "help()" for help. │ | |
└────────────────────────────────────────────────────────────────────┘ | |
sage: integrand=(x+(1+x)^(1/2))^(1/2)/(x^2+1)/(1+x)^(1/2) | |
sage: integrate(integrand, x, algorithm="giac") | |
--------------------------------------------------------------------------- | |
RuntimeError Traceback (most recent call last) | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/expect.py in __init__(self, parent, value, is_name, name) | |
1467 try: | |
-> 1468 self._name = parent._create(value, name=name) | |
1469 # Convert ValueError and RuntimeError to TypeError for | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/interface.py in _create(self, value, name) | |
499 name = self._next_var_name() if name is None else name | |
--> 500 self.set(name, value) | |
501 return name | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/giac.py in set(self, var, value) | |
662 cmd = '%s:=%s:;'%(var,value) #if giac is not in maple mode ( maple_mode(0)) | |
--> 663 out = self.eval(cmd) | |
664 if out.find("error") != -1: | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/giac.py in eval(self, code, strip, **kwds) | |
646 code = code.replace("\n","").strip() | |
--> 647 ans = Expect.eval(self, code, strip=strip, **kwds).strip() | |
648 return ans | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/expect.py in eval(self, code, strip, synchronize, locals, allow_use_file, split_lines, **kwds) | |
1380 elif split_lines: | |
-> 1381 return '\n'.join([self._eval_line(L, allow_use_file=allow_use_file, **kwds) | |
1382 for L in code.split('\n') if L != '']) | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/expect.py in <listcomp>(.0) | |
1380 elif split_lines: | |
-> 1381 return '\n'.join([self._eval_line(L, allow_use_file=allow_use_file, **kwds) | |
1382 for L in code.split('\n') if L != '']) | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/giac.py in _eval_line(self, line, allow_use_file, wait_for_prompt, restart_if_needed) | |
615 if z.lower().find("error") != -1: | |
--> 616 raise RuntimeError("An error occurred running a Giac command:\nINPUT:\n%s\nOUTPUT:\n%s"%(line, z)) | |
617 lines = (line for line in z.splitlines() | |
RuntimeError: An error occurred running a Giac command: | |
INPUT: | |
sage2:=int(sage0,x):; | |
OUTPUT: | |
*** Warning: increasing stack size to 2048000. | |
Unable to convert to real -5.4348792461126750008981111610946592130*E43 Error: Bad Argument Value | |
Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real): | |
Check [abs(t_nostep)] | |
Evaluation time: 2.12 | |
"iquo Error: Bad Argument Type" | |
During handling of the above exception, another exception occurred: | |
TypeError Traceback (most recent call last) | |
<ipython-input-2-372f79d10c8f> in <module> | |
----> 1 integrate(integrand, x, algorithm="giac") | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/misc/functional.py in integral(x, *args, **kwds) | |
757 """ | |
758 if hasattr(x, 'integral'): | |
--> 759 return x.integral(*args, **kwds) | |
760 else: | |
761 from sage.symbolic.ring import SR | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/symbolic/expression.pyx in sage.symbolic.expression.Expression.integral (build/cythonized/sage/symbolic/expression.cpp:66858)() | |
12645 R = SR | |
12646 return R(integral(f, v, a, b, **kwds)) | |
> 12647 return integral(self, *args, **kwds) | |
12648 | |
12649 integrate = integral | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/symbolic/integration/integral.py in integrate(expression, v, a, b, algorithm, hold) | |
988 if not integrator: | |
989 raise ValueError("Unknown algorithm: %s" % algorithm) | |
--> 990 return integrator(expression, v, a, b) | |
991 if a is None: | |
992 return indefinite_integral(expression, v, hold=hold) | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/symbolic/integration/external.py in giac_integrator(expression, v, a, b) | |
440 ex = expression._giac_() | |
441 if a is None: | |
--> 442 result = ex.integrate(v._giac_()) | |
443 else: | |
444 result = ex.integrate(v._giac_(), a._giac_(), b._giac_()) | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/giac.py in integral(self, var, min, max) | |
1170 """ | |
1171 if min is None: | |
-> 1172 return giac('int(%s,%s)' % (self.name(), var)) | |
1173 else: | |
1174 if max is None: | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/interface.py in __call__(self, x, name) | |
293 | |
294 if isinstance(x, str): | |
--> 295 return cls(self, x, name=name) | |
296 try: | |
297 # Special methods do not and should not have an option to | |
/Applications/sage-dev/local/lib/python3.9/site-packages/sage/interfaces/expect.py in __init__(self, parent, value, is_name, name) | |
1471 except (RuntimeError, ValueError) as x: | |
1472 self._session_number = -1 | |
-> 1473 raise TypeError(*x.args) | |
1474 except BaseException: | |
1475 self._session_number = -1 | |
TypeError: An error occurred running a Giac command: | |
INPUT: | |
sage2:=int(sage0,x):; | |
OUTPUT: | |
*** Warning: increasing stack size to 2048000. | |
Unable to convert to real -5.4348792461126750008981111610946592130*E43 Error: Bad Argument Value | |
Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real): | |
Check [abs(t_nostep)] | |
Evaluation time: 2.12 | |
"iquo Error: Bad Argument Type" |
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