Data update
This commit is contained in:
Ingy döt Net
parent
5150844a7d
commit
4bb20c9b71
7735 changed files with 38060 additions and 199180 deletions
|
|
@ -1,65 +0,0 @@
|
|||
with Ada.Text_Io;
|
||||
with Ada.Numerics.Elementary_Functions;
|
||||
with Ada.Numerics.Big_Numbers.Big_Integers;
|
||||
|
||||
procedure Pells_Equation is
|
||||
use Ada.Numerics.Big_Numbers.Big_Integers;
|
||||
|
||||
type Pair is
|
||||
record
|
||||
V1, V2 : Big_Integer;
|
||||
end record;
|
||||
|
||||
procedure Solve_Pell (N : Natural; X, Y : out Big_Integer) is
|
||||
use Ada.Numerics.Elementary_Functions;
|
||||
Big_N : constant Big_Integer := To_Big_Integer (N);
|
||||
XX : constant Big_Integer := To_Big_Integer (Natural (Float'Floor (Sqrt (Float (N)))));
|
||||
begin
|
||||
if XX**2 = Big_N then
|
||||
X := 1; Y := 0;
|
||||
return;
|
||||
end if;
|
||||
|
||||
declare
|
||||
YY : Big_Integer := XX;
|
||||
Z : Big_Integer := 1;
|
||||
R : Big_Integer := 2 * XX;
|
||||
E : Pair := Pair'(V1 => 1, V2 => 0);
|
||||
F : Pair := Pair'(V1 => 0, V2 => 1);
|
||||
begin
|
||||
loop
|
||||
YY := R * Z - YY;
|
||||
Z := (Big_N - YY**2) / Z;
|
||||
R := (XX + YY) / Z;
|
||||
E := Pair'(V1 => E.V2, V2 => R * E.V2 + E.V1);
|
||||
F := Pair'(V1 => F.V2, V2 => R * F.V2 + F.V1);
|
||||
X := E.V2 + XX * F.V2;
|
||||
Y := F.V2;
|
||||
exit when X**2 - Big_N * Y**2 = 1;
|
||||
end loop;
|
||||
end;
|
||||
end Solve_Pell;
|
||||
|
||||
procedure Test (N : Natural) is
|
||||
|
||||
package Natural_Io is new Ada.Text_Io.Integer_Io (Natural);
|
||||
use Ada.Text_Io, Natural_Io;
|
||||
|
||||
X, Y : Big_Integer;
|
||||
begin
|
||||
Solve_Pell (N, X => X, Y => Y);
|
||||
Put ("X**2 - ");
|
||||
Put (N, Width => 3);
|
||||
Put (" * Y**2 = 1 for X = ");
|
||||
Put (To_String (X, Width => 22));
|
||||
Put (" and Y = ");
|
||||
Put (To_String (Y, Width => 20));
|
||||
New_Line;
|
||||
end Test;
|
||||
|
||||
begin
|
||||
Test (61);
|
||||
Test (109);
|
||||
Test (181);
|
||||
Test (277);
|
||||
end Pells_Equation;
|
||||
|
|
@ -1,3 +1,5 @@
|
|||
val fun = fn a, b, c: [b, b * c + a]
|
||||
|
||||
val solvePell = fn(n) {
|
||||
val x = trunc(n ^/ 2)
|
||||
var y, z, r = x, 1, x * 2
|
||||
|
|
@ -20,7 +22,7 @@ val C = fn(x) {
|
|||
if s[1] == '-' {
|
||||
neg, s = "-", less(s, of=1)
|
||||
}
|
||||
neg ~ join(split(s, by=-3), by=",")
|
||||
neg ~ join(split(s, delim=-3), delim=",")
|
||||
}
|
||||
|
||||
for n in [61, 109, 181, 277, 8941] {
|
||||
|
|
|
|||
|
|
@ -1,64 +1,62 @@
|
|||
(phixonline)-->
|
||||
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
|
||||
with javascript_semantics
|
||||
|
||||
<span style="color: #008080;">include</span> <span style="color: #7060A8;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span>
|
||||
include mpfr.e
|
||||
|
||||
<span style="color: #008080;">procedure</span> <span style="color: #000000;">fun</span><span style="color: #0000FF;">(</span><span style="color: #004080;">mpz</span> <span style="color: #000000;">a</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">c</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000080;font-style:italic;">-- {a,b} = {b,c*b+a} (and t gets trashed)</span>
|
||||
<span style="color: #7060A8;">mpz_set</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">a</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #7060A8;">mpz_set</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #7060A8;">mpz_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">c</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #7060A8;">mpz_add</span><span style="color: #0000FF;">(</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">procedure</span>
|
||||
procedure fun(mpz a,b,t, integer c)
|
||||
-- {a,b} = {b,c*b+a} (and t gets trashed)
|
||||
mpz_set(t,a)
|
||||
mpz_set(a,b)
|
||||
mpz_mul_si(b,b,c)
|
||||
mpz_add(b,b,t)
|
||||
end procedure
|
||||
|
||||
<span style="color: #008080;">function</span> <span style="color: #000000;">SolvePell</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">x</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">sqrt</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)),</span> <span style="color: #000000;">y</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">z</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">*</span><span style="color: #000000;">2</span>
|
||||
<span style="color: #004080;">mpz</span> <span style="color: #000000;">e1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">e2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span>
|
||||
<span style="color: #000000;">f1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span> <span style="color: #000000;">f2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span>
|
||||
<span style="color: #000000;">t</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">u</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(),</span>
|
||||
<span style="color: #000000;">a</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">),</span> <span style="color: #000000;">b</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">0</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">*</span><span style="color: #000000;">x</span><span style="color: #0000FF;">!=</span><span style="color: #000000;">n</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #008080;">while</span> <span style="color: #7060A8;">mpz_cmp_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)!=</span><span style="color: #000000;">0</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #000000;">y</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">r</span><span style="color: #0000FF;">*</span><span style="color: #000000;">z</span> <span style="color: #0000FF;">-</span> <span style="color: #000000;">y</span>
|
||||
<span style="color: #000000;">z</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">((</span><span style="color: #000000;">n</span><span style="color: #0000FF;">-</span><span style="color: #000000;">y</span><span style="color: #0000FF;">*</span><span style="color: #000000;">y</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">z</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">floor</span><span style="color: #0000FF;">((</span><span style="color: #000000;">x</span><span style="color: #0000FF;">+</span><span style="color: #000000;">y</span><span style="color: #0000FF;">)/</span><span style="color: #000000;">z</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">fun</span><span style="color: #0000FF;">(</span><span style="color: #000000;">e1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">e2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- {e1,e2} = {e2,r*e2+e1}</span>
|
||||
<span style="color: #000000;">fun</span><span style="color: #0000FF;">(</span><span style="color: #000000;">f1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">f2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- {f1,f2} = {f2,r*r2+f1}</span>
|
||||
<span style="color: #7060A8;">mpz_set</span><span style="color: #0000FF;">(</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span><span style="color: #000000;">f2</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #7060A8;">mpz_set</span><span style="color: #0000FF;">(</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">e2</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">fun</span><span style="color: #0000FF;">(</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- {b,a} = {f2,x*f2+e2}</span>
|
||||
<span style="color: #7060A8;">mpz_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span><span style="color: #000000;">a</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #7060A8;">mpz_mul_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b</span><span style="color: #0000FF;">,</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #7060A8;">mpz_mul</span><span style="color: #0000FF;">(</span><span style="color: #000000;">u</span><span style="color: #0000FF;">,</span><span style="color: #000000;">u</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #7060A8;">mpz_sub</span><span style="color: #0000FF;">(</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span><span style="color: #000000;">u</span><span style="color: #0000FF;">)</span> <span style="color: #000080;font-style:italic;">-- t = a^2-n*b^2</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">a</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">b</span><span style="color: #0000FF;">}</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
|
||||
function SolvePell(integer n)
|
||||
integer x = floor(sqrt(n)), y = x, z = 1, r = x*2
|
||||
mpz e1 = mpz_init(1), e2 = mpz_init(),
|
||||
f1 = mpz_init(), f2 = mpz_init(1),
|
||||
t = mpz_init(0), u = mpz_init(),
|
||||
a = mpz_init(1), b = mpz_init(0)
|
||||
if x*x!=n then
|
||||
while mpz_cmp_si(t,1)!=0 do
|
||||
y = r*z - y
|
||||
z = floor((n-y*y)/z)
|
||||
r = floor((x+y)/z)
|
||||
fun(e1,e2,t,r) -- {e1,e2} = {e2,r*e2+e1}
|
||||
fun(f1,f2,t,r) -- {f1,f2} = {f2,r*r2+f1}
|
||||
mpz_set(a,f2)
|
||||
mpz_set(b,e2)
|
||||
fun(b,a,t,x) -- {b,a} = {f2,x*f2+e2}
|
||||
mpz_mul(t,a,a)
|
||||
mpz_mul_si(u,b,n)
|
||||
mpz_mul(u,u,b)
|
||||
mpz_sub(t,t,u) -- t = a^2-n*b^2
|
||||
end while
|
||||
end if
|
||||
return {a, b}
|
||||
end function
|
||||
|
||||
<span style="color: #008080;">function</span> <span style="color: #000000;">split_into_chunks</span><span style="color: #0000FF;">(</span><span style="color: #004080;">string</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">,</span> <span style="color: #004080;">integer</span> <span style="color: #000000;">one</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">rest</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">one</span><span style="color: #0000FF;">]}</span>
|
||||
<span style="color: #000000;">x</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">[</span><span style="color: #000000;">one</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$]</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">l</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">x</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">while</span> <span style="color: #000000;">l</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">min</span><span style="color: #0000FF;">(</span><span style="color: #000000;">l</span><span style="color: #0000FF;">,</span><span style="color: #000000;">rest</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #000000;">x</span><span style="color: #0000FF;">[</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..</span><span style="color: #000000;">k</span><span style="color: #0000FF;">])</span>
|
||||
<span style="color: #000000;">x</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">x</span><span style="color: #0000FF;">[</span><span style="color: #000000;">k</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">..$]</span>
|
||||
<span style="color: #000000;">l</span> <span style="color: #0000FF;">-=</span> <span style="color: #000000;">k</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
|
||||
<span style="color: #008080;">return</span> <span style="color: #7060A8;">join</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">&</span><span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">' '</span><span style="color: #0000FF;">,</span><span style="color: #000000;">29</span><span style="color: #0000FF;">))&</span><span style="color: #008000;">"\n"</span><span style="color: #0000FF;">&</span><span style="color: #7060A8;">repeat</span><span style="color: #0000FF;">(</span><span style="color: #008000;">' '</span><span style="color: #0000FF;">,</span><span style="color: #000000;">17</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
|
||||
function split_into_chunks(string x, integer one, rest)
|
||||
sequence res = {x[1..one]}
|
||||
x = x[one+1..$]
|
||||
integer l = length(x)
|
||||
while l do
|
||||
integer k = min(l,rest)
|
||||
res = append(res,x[1..k])
|
||||
x = x[k+1..$]
|
||||
l -= k
|
||||
end while
|
||||
return join(res,"\n"&repeat(' ',29))&"\n"&repeat(' ',17)
|
||||
end function
|
||||
|
||||
<span style="color: #004080;">sequence</span> <span style="color: #000000;">ns</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">4</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">61</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">109</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">181</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">277</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">8941</span><span style="color: #0000FF;">}</span>
|
||||
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ns</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
|
||||
<span style="color: #004080;">integer</span> <span style="color: #000000;">n</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ns</span><span style="color: #0000FF;">[</span><span style="color: #000000;">i</span><span style="color: #0000FF;">]</span>
|
||||
<span style="color: #004080;">mpz</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">x</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">y</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">SolvePell</span><span style="color: #0000FF;">(</span><span style="color: #000000;">n</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #004080;">string</span> <span style="color: #000000;">xs</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">x</span><span style="color: #0000FF;">,</span><span style="color: #000000;">comma_fill</span><span style="color: #0000FF;">:=</span><span style="color: #004600;">true</span><span style="color: #0000FF;">),</span>
|
||||
<span style="color: #000000;">ys</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_get_str</span><span style="color: #0000FF;">(</span><span style="color: #000000;">y</span><span style="color: #0000FF;">,</span><span style="color: #000000;">comma_fill</span><span style="color: #0000FF;">:=</span><span style="color: #004600;">true</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">if</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">xs</span><span style="color: #0000FF;">)></span><span style="color: #000000;">97</span> <span style="color: #008080;">then</span>
|
||||
<span style="color: #000000;">xs</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">split_into_chunks</span><span style="color: #0000FF;">(</span><span style="color: #000000;">xs</span><span style="color: #0000FF;">,</span><span style="color: #000000;">98</span><span style="color: #0000FF;">,</span><span style="color: #000000;">96</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #000000;">ys</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">split_into_chunks</span><span style="color: #0000FF;">(</span><span style="color: #000000;">ys</span><span style="color: #0000FF;">,</span><span style="color: #000000;">99</span><span style="color: #0000FF;">,</span><span style="color: #000000;">96</span><span style="color: #0000FF;">)</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
|
||||
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"x^2 - %3d*y^2 = 1 for x = %27s and y = %25s\n"</span><span style="color: #0000FF;">,</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">n</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">xs</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">ys</span><span style="color: #0000FF;">})</span>
|
||||
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
|
||||
<!--
|
||||
sequence ns = {4, 61, 109, 181, 277, 8941}
|
||||
for i=1 to length(ns) do
|
||||
integer n = ns[i]
|
||||
mpz {x, y} = SolvePell(n)
|
||||
string xs = mpz_get_str(x,comma_fill:=true),
|
||||
ys = mpz_get_str(y,comma_fill:=true)
|
||||
if length(xs)>97 then
|
||||
xs = split_into_chunks(xs,98,96)
|
||||
ys = split_into_chunks(ys,99,96)
|
||||
end if
|
||||
printf(1,"x^2 - %3d*y^2 = 1 for x = %27s and y = %25s\n", {n, xs, ys})
|
||||
end for
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue