Opened 4 years ago

Last modified 4 years ago

## #21614 closed defect

# Make atan2(0,0) return NaN — at Initial Version

Reported by: | rws | Owned by: | |
---|---|---|---|

Priority: | minor | Milestone: | sage-7.4 |

Component: | symbolics | Keywords: | |

Cc: | Merged in: | ||

Authors: | Reviewers: | ||

Report Upstream: | N/A | Work issues: | |

Branch: | Commit: | ||

Dependencies: | Stopgaps: |

### Description

Same with `tan`

and `imag`

:

sage: real(sqrt(sin(x))) sqrt(abs(sin(x)))*cos(1/2*arctan2(cos(real_part(x))*sinh(imag_part(x)), cosh(imag_part(x))*sin(real_part(x)))) sage: _.subs(x==0) ... RuntimeError: arctan2_eval(): arctan2(0,0) encountered

SymPy expands similarly but gives NaN on substitution instead of an exception.

This all might not be of concern if not 3d plotting would need real/imag parts of a function, their workaround `real(...,hold=True)`

works perfectly but this is not the general solution that is needed.

One solution would be to return `NaN`

instead of throwing up.

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