"ma...@mendelu.cz" <ma...@mendelu.cz> writes:

>>
>> sage: def theta(dz):
>> ...       angle=0;
>> ...       if 0<=dz<2*r*cot(gangle) : angle= 2*arcsin(dz*tan(gangle)/2/r);
>> ...       if 2*r*cot(gangle)<= dz < 2*2*r*cot(gangle) : angle= 
>> 2*arcsin((dz-2*r*cot(gangle))/(cot(gangle)*2*r)) - pi;
>> ...       if 2*2*r*cot(gangle)<= dz < 4*2*r*cot(gangle) : angle= 
>> 2*arcsin((dz-2*2*r*cot(gangle))/(cot(gangle)*2*r)) - 2*pi;
>> ...       if 0>=dz>-2*r*cot(gangle) : angle= 2*arcsin(dz*tan(gangle)/2/r);
>> ...       if 2*r*cot(gangle)>= dz > -2*2*r*cot(gangle) : angle= 
>> 2*arcsin((dz+2*r*cot(gangle))/(cot(gangle)*2*r)) - pi;
>> ...       if 2*2*r*cot(gangle)>= dz > -4*2*r*cot(gangle) : angle= 
>> 2*arcsin((dz+2*2*r*cot(gangle))/(cot(gangle)*2*r)) - 2*pi;
>> ...       return angle;
>> ...
>>
>> then executing
>>
>> sage: find_root(erseno(x)==0,2,10,xtol=0.01)
>
> Try to print erseno(x)
> it seems that your equation becomes 0.609368485026990==0

It probably does because I put angle=0 at the beginning of theta(dz). If
I take it away I get (if calling erseno(x))

->Traceback (most recent call last):
->  File "<stdin>", line 1, in <module>
->  File "_sage_input_16.py", line 4, in <module>
->    open("___code___.py","w").write("# -*- coding: utf-8 -*-\n" + 
_support_.preparse_worksheet_cell(base64.b64decode("ZmluZF9yb290KGVyc2Vubyh4KSwyLDEwLHh0b2w9MC4wMSk="),globals())+"\n");
 execfile(os.path.abspath("___code___.py"))
->  File "", line 1, in <module>
->    
->  File 
"/private/var/folders/bc/bcpFbanYErusTUkLXieJfE+++TI/-Tmp-/tmpy0Ob9z/___code___.py",
 line 3, in <module>
->    find_root(erseno(x),_sage_const_2 ,_sage_const_10 ,xtol=_sage_const_0p01 )
->  File "", line 1, in <module>
->    
->  File 
"/private/var/folders/bc/bcpFbanYErusTUkLXieJfE+++TI/-Tmp-/tmp87jRdJ/___code___.py",
 line 4, in erseno
->    return _sage_const_2 *arcsin(b*sin(gangle)/_sage_const_2 
/r)-(Nrib-_sage_const_1 )*theta(dz2(x))/_sage_const_2 -(Nrib+_sage_const_1 
)*theta(x)/_sage_const_2 ;
->  File 
"/private/var/folders/bc/bcpFbanYErusTUkLXieJfE+++TI/-Tmp-/tmps88obK/___code___.py",
 line 11, in theta
->    return angle;
->UnboundLocalError: local variable 'angle' referenced before assignment


Thanks again for your time,

Giovanni

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