Programming a function parameterized by a Domain in Maple
I want to implement the Extended Euclidean Algorithm for arbitrary Euclidean Domains in Maple.
I tried passing the domain as an argument to the procedure, but it does not seem to work.
EEA:=proc(ED,a,b)
description
"Extended Euclidean Algorithm"
"INPUT: an Euclidean Domain ED and two elements from said domain"
"Computes the GCD as a R-linear combination";
local r_0, r_1, r_aux, s_0, s_1, s_aux, t_0, t_1, t_aux, q;
# Initialization
r_0 := a; r_1 := b;
s_0 := 1; s_1 := 0;
t_0 := 0; t_1 := 1;
while r_1 <> 0 do;
q := ED[quo](r_0, r_1);
r_aux := r_0 - q * r_1;
r_0 := r_1; r_1 := r_aux;
s_aux := s_0 - q * s_1;
s_0 := s_1; s_1 := s_aux;
t_aux := t_0 - q * t_1;
t_0 := t_1; t_1 := t_aux;
od;
return r_0, s_0, t_0;
end proc:
When I execute:
with(Domains):
a := 30; b := 42;
r, s, t := EEA(Z, a, b);
The program gets stuck in a loop.
What is going on?
symbolic-math maple
asked Nov 11 '18 at 23:33
Jsevillamol
635617
add a comment |
I want to implement the Extended Euclidean Algorithm for arbitrary Euclidean Domains in Maple.
I tried passing the domain as an argument to the procedure, but it does not seem to work.
EEA:=proc(ED,a,b)
description
"Extended Euclidean Algorithm"
"INPUT: an Euclidean Domain ED and two elements from said domain"
"Computes the GCD as a R-linear combination";
local r_0, r_1, r_aux, s_0, s_1, s_aux, t_0, t_1, t_aux, q;
# Initialization
r_0 := a; r_1 := b;
s_0 := 1; s_1 := 0;
t_0 := 0; t_1 := 1;
while r_1 <> 0 do;
q := ED[quo](r_0, r_1);
r_aux := r_0 - q * r_1;
r_0 := r_1; r_1 := r_aux;
s_aux := s_0 - q * s_1;
s_0 := s_1; s_1 := s_aux;
t_aux := t_0 - q * t_1;
t_0 := t_1; t_1 := t_aux;
od;
return r_0, s_0, t_0;
end proc:
When I execute:
with(Domains):
a := 30; b := 42;
r, s, t := EEA(Z, a, b);
The program gets stuck in a loop.
What is going on?
symbolic-math maple
asked Nov 11 '18 at 23:33
Jsevillamol
635617
add a comment |
I want to implement the Extended Euclidean Algorithm for arbitrary Euclidean Domains in Maple.
I tried passing the domain as an argument to the procedure, but it does not seem to work.
EEA:=proc(ED,a,b)
description
"Extended Euclidean Algorithm"
"INPUT: an Euclidean Domain ED and two elements from said domain"
"Computes the GCD as a R-linear combination";
local r_0, r_1, r_aux, s_0, s_1, s_aux, t_0, t_1, t_aux, q;
# Initialization
r_0 := a; r_1 := b;
s_0 := 1; s_1 := 0;
t_0 := 0; t_1 := 1;
while r_1 <> 0 do;
q := ED[quo](r_0, r_1);
r_aux := r_0 - q * r_1;
r_0 := r_1; r_1 := r_aux;
s_aux := s_0 - q * s_1;
s_0 := s_1; s_1 := s_aux;
t_aux := t_0 - q * t_1;
t_0 := t_1; t_1 := t_aux;
od;
return r_0, s_0, t_0;
end proc:
When I execute:
with(Domains):
a := 30; b := 42;
r, s, t := EEA(Z, a, b);
The program gets stuck in a loop.
What is going on?
symbolic-math maple
asked Nov 11 '18 at 23:33
Jsevillamol
635617
I want to implement the Extended Euclidean Algorithm for arbitrary Euclidean Domains in Maple.
I tried passing the domain as an argument to the procedure, but it does not seem to work.
EEA:=proc(ED,a,b)
description
"Extended Euclidean Algorithm"
"INPUT: an Euclidean Domain ED and two elements from said domain"
"Computes the GCD as a R-linear combination";
local r_0, r_1, r_aux, s_0, s_1, s_aux, t_0, t_1, t_aux, q;
# Initialization
r_0 := a; r_1 := b;
s_0 := 1; s_1 := 0;
t_0 := 0; t_1 := 1;
while r_1 <> 0 do;
q := ED[quo](r_0, r_1);
r_aux := r_0 - q * r_1;
r_0 := r_1; r_1 := r_aux;
s_aux := s_0 - q * s_1;
s_0 := s_1; s_1 := s_aux;
t_aux := t_0 - q * t_1;
t_0 := t_1; t_1 := t_aux;
od;
return r_0, s_0, t_0;
end proc:
When I execute:
with(Domains):
a := 30; b := 42;
r, s, t := EEA(Z, a, b);
The program gets stuck in a loop.
What is going on?
symbolic-math maple
symbolic-math maple
asked Nov 11 '18 at 23:33
Jsevillamol
635617
asked Nov 11 '18 at 23:33
Jsevillamol
635617
asked Nov 11 '18 at 23:33
Jsevillamol
635617
asked Nov 11 '18 at 23:33
Jsevillamol
635617
asked Nov 11 '18 at 23:33
Jsevillamol
635617
635617
add a comment |
add a comment |
1 Answer
1
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oldest
votes
Nevermind, I needed to capitalize Z[Quo].
answered Nov 12 '18 at 9:00
Jsevillamol
635617
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Nevermind, I needed to capitalize Z[Quo].
answered Nov 12 '18 at 9:00
Jsevillamol
635617
add a comment |
Nevermind, I needed to capitalize Z[Quo].
answered Nov 12 '18 at 9:00
Jsevillamol
635617
add a comment |
Nevermind, I needed to capitalize Z[Quo].
answered Nov 12 '18 at 9:00
Jsevillamol
635617
Nevermind, I needed to capitalize Z[Quo].
answered Nov 12 '18 at 9:00
Jsevillamol
635617
answered Nov 12 '18 at 9:00
Jsevillamol
635617
answered Nov 12 '18 at 9:00
Jsevillamol
635617
answered Nov 12 '18 at 9:00
Jsevillamol
635617
635617
add a comment |
add a comment |
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