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last edited 8 years ago by test1 |
Edit detail for #411 "forbidden" type generated by trigonometric expression revision 5 of 5
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Editor: test1
Time: 2016/09/26 13:51:23 GMT+0 |
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From test1 Mon Sep 26 13:51:23 +0000 2016
From: test1
Date: Mon, 26 Sep 2016 13:51:23 +0000
Subject:
Message-ID: <20160926135123+0000@axiom-wiki.newsynthesis.org>
Severity: normal => wishlist
The following challenge posted by Vladimir yields EXPR COMPLEX FRAC INT as result type. I think it should be EXPR COMPLEX INT. Declaring the variable helps.
fricas
(1) -> ex1 := cot(1/2 * (3/8 * %pi * 2^(1/2)-1/2 * 2^(1/2) * atan(3/5)-1/4 * 2^(1/2) * atan(27+73/4 * 2^(1/2))-1/4 * 2^(1/2) * atan(42/41+12/41 * 2^(1/2))+1/4 * 2^(1/2) * atan(144/103+148/103 * 2^(1/2))-1/4 * %i * 2^(1/2) * atanh(-51945/813577+28/2440731 * ((714295812 * (833932+86508 * 93^(1/2))^(1/3)-4881462 * (833932+86508 * 93^(1/2))^(2/3)+3963747144)/(833932+86508 * 93^(1/2))^(1/3))^(1/2)+28/2440731 * 6^(1/2) * ((238098604 * (833932+86508 * 93^(1/2))^(1/3) * ((714295812 * (833932+86508 * 93^(1/2))^(1/3)-4881462 * (833932+86508 * 93^(1/2))^(2/3)+3963747144)/(833932+86508 * 93^(1/2))^(1/3))^(1/2)+813577 * ((714295812 * (833932+86508 * 93^(1/2))^(1/3)-4881462 * (833932+86508 * 93^(1/2))^(2/3)+3963747144)/(833932+86508 * 93^(1/2))^(1/3))^(1/2) * (833932+86508 * 93^(1/2))^(2/3)-660624524 * ((714295812 * (833932+86508 * 93^(1/2))^(1/3)-4881462 * (833932+86508 * 93^(1/2))^(2/3)+3963747144)/(833932+86508 * 93^(1/2))^(1/3))^(1/2)+4852325397096 * (833932+86508 * 93^(1/2))^(1/3))/(833932+86508 * 93^(1/2))^(1/3)/((714295812 * (833932+86508 * 93^(1/2))^(1/3)-4881462 * (833932+86508 * 93^(1/2))^(2/3)+3963747144)/(833932+86508 * 93^(1/2))^(1/3))^(1/2))^(1/2))+1/8 * %i * 2^(1/2) * log(18/7)+1/8 * log(81 * (69/97+2/97 * 2^(1/2))^(%i * 2^(1/2)) * ((26+7 * %i-(10+4 * %i) * 2^(1/2)) * (1/3+1/18 * 6^(1/2) * ((62 * (1052+108 * 93^(1/2))^(1/3)+(1052+108 * 93^(1/2))^(2/3)+28)/(1052+108 * 93^(1/2))^(1/3))^(1/2)+1/18 * ((744 * (1052+108 * 93^(1/2))^(1/3) * ((62 * (1052+108 * 93^(1/2))^(1/3)+(1052+108 * 93^(1/2))^(2/3)+28)/(1052+108 * 93^(1/2))^(1/3))^(1/2)-6 * ((62 * (1052+108 * 93^(1/2))^(1/3)+(1052+108 * 93^(1/2))^(2/3)+28)/(1052+108 * 93^(1/2))^(1/3))^(1/2) * (1052+108 * 93^(1/2))^(2/3)-168 * ((62 * (1052+108 * 93^(1/2))^(1/3)+(1052+108 * 93^(1/2))^(2/3)+28)/(1052+108 * 93^(1/2))^(1/3))^(1/2)+2376 * 6^(1/2) * (1052+108 * 93^(1/2))^(1/3))/(1052+108 * 93^(1/2))^(1/3)/((62 * (1052+108 * 93^(1/2))^(1/3)+(1052+108 * 93^(1/2))^(2/3)+28)/(1052+108 * 93^(1/2))^(1/3))^(1/2))^(1/2))/(3+2^(1/2)))^(2 * %i * 2^(1/2))/((2+3 * %i-2 * %i * 2^(1/2))^(4 * %i * 2^(1/2))))-acoth(2)) * 2^(1/2));
Type: Expression(Complex(Fraction(Integer)))
Re: forbidden --Bill Page, Sun, 06 Jan 2008 04:58:35 -0800 reply
Why do you say EXPR COMPLEX FRAC INT is "forbidden"?
Hm, actually, I'm not quite sure. Usually, domain constructions containing "redundancy", like FRAC FRAC INT or EXPR POLY INT should be avoided, especially in the interpreter. (In SPAD code, they are sometimes unavoidable) Curiously, the interpreter does not reject EXPR FRAC INT, nor EXPR FRAC COMPLEX INT. On the other hand, EXPR COMPLEX FRAC INT is actually different from EXPR COMPLEX INT.
In any case, it seems quite difficult to work with objects of type EXPR COMPLEX FRAC INT. For example, you cannot convert them to EXPR COMPLEX FLOAT...
Severity: normal => wishlist