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(* Common mathematical functions and data *)
unit cmath;
interface
const
factorial: array[1..20] of uint64 = (
1,
2,
6,
24,
120,
720,
5040,
40320,
362880,
3628800,
39916800,
479001600,
6227020800,
87178291200,
1307674368000,
20922789888000,
355687428096000,
6402373705728000,
121645100408832000,
2432902008176640000
);
fibonacci: array[1..93] of uint64 = (
1,
1,
2,
3,
5,
8,
13,
21,
34,
55,
89,
144,
233,
377,
610,
987,
1597,
2584,
4181,
6765,
10946,
17711,
28657,
46368,
75025,
121393,
196418,
317811,
514229,
832040,
1346269,
2178309,
3524578,
5702887,
9227465,
14930352,
24157817,
39088169,
63245986,
102334155,
165580141,
267914296,
433494437,
701408733,
1134903170,
1836311903,
2971215073,
4807526976,
7778742049,
12586269025,
20365011074,
32951280099,
53316291173,
86267571272,
139583862445,
225851433717,
365435296162,
591286729879,
956722026041,
1548008755920,
2504730781961,
4052739537881,
6557470319842,
10610209857723,
17167680177565,
27777890035288,
44945570212853,
72723460248141,
117669030460994,
190392490709135,
308061521170129,
498454011879264,
806515533049393,
1304969544928657,
2111485077978050,
3416454622906707,
5527939700884757,
8944394323791464,
14472334024676221,
23416728348467685,
37889062373143906,
61305790721611591,
99194853094755497,
160500643816367088,
259695496911122585,
420196140727489673,
679891637638612258,
1100087778366101931,
1779979416004714189,
2880067194370816120,
4660046610375530309,
7540113804746346429,
12200160415121876738
);
function gcd(x, y: int64): int64;
function isprime(x: int64): boolean;
function issquare(x: int64): boolean;
implementation
function gcd(x, y: int64): int64;
var z: int64;
begin
while y > 0 do
begin
z := y;
y := x mod y;
x := z
end;
gcd := x
end;
function isprime(x: int64): boolean;
var i: int32;
begin
if x < 2 then
exit(false);
for i := 2 to trunc(sqrt(x)) do
if x mod i = 0 then
exit(false);
isprime := true
end;
function issquare(x: int64): boolean;
begin
issquare := (x >= 0) and (sqr(trunc(sqrt(x))) = x)
end;
end.
|
