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Edit detail for #411 "forbidden" type generated by trigonometric expression revision 2 of 5

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Editor: Bill Page
Time: 2008/01/06 04:58:35 GMT-8
Note: Re: forbidden

added:

From BillPage Sun Jan 6 04:58:35 -0800 2008
From: Bill Page
Date: Sun, 06 Jan 2008 04:58:35 -0800
Subject: Re: forbidden
Message-ID: <20080106045835-0800@axiom-wiki.newsynthesis.org>

Why do you say EXPR COMPLEX FRAC INT is "forbidden"?

Submitted by : kratt6 at: 2008-01-05T13:11:33-08:00 (16 years ago)
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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.

axiom
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"?