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|
open Test;;
open Nat;;
open Big_int;;
open Int_misc;;
testing_function "compare_big_int";;
test 1
eq_int (compare_big_int zero_big_int zero_big_int, 0);;
test 2
eq_int (compare_big_int zero_big_int (big_int_of_int 1), (-1));;
test 3
eq_int (compare_big_int zero_big_int (big_int_of_int (-1)), 1);;
test 4
eq_int (compare_big_int (big_int_of_int 1) zero_big_int, 1);;
test 5
eq_int (compare_big_int (big_int_of_int (-1)) zero_big_int, (-1));;
test 6
eq_int (compare_big_int (big_int_of_int 1) (big_int_of_int 1), 0);;
test 7
eq_int (compare_big_int (big_int_of_int (-1)) (big_int_of_int (-1)), 0);;
test 8
eq_int (compare_big_int (big_int_of_int 1) (big_int_of_int (-1)), 1);;
test 9
eq_int (compare_big_int (big_int_of_int (-1)) (big_int_of_int 1), (-1));;
test 10
eq_int (compare_big_int (big_int_of_int 1) (big_int_of_int 2), (-1));;
test 11
eq_int (compare_big_int (big_int_of_int 2) (big_int_of_int 1), 1);;
test 12
eq_int (compare_big_int (big_int_of_int (-1)) (big_int_of_int (-2)), 1);;
test 13
eq_int (compare_big_int (big_int_of_int (-2)) (big_int_of_int (-1)), (-1));;
testing_function "pred_big_int";;
test 1
eq_big_int (pred_big_int zero_big_int, big_int_of_int (-1));;
test 2
eq_big_int (pred_big_int unit_big_int, zero_big_int);;
test 3
eq_big_int (pred_big_int (big_int_of_int (-1)), big_int_of_int (-2));;
testing_function "succ_big_int";;
test 1
eq_big_int (succ_big_int zero_big_int, unit_big_int);;
test 2
eq_big_int (succ_big_int unit_big_int, big_int_of_int 2);;
test 3
eq_big_int (succ_big_int (big_int_of_int (-1)), zero_big_int);;
testing_function "add_big_int";;
test 1
eq_big_int (add_big_int zero_big_int zero_big_int, zero_big_int);;
test 2
eq_big_int (add_big_int zero_big_int (big_int_of_int 1),
big_int_of_int 1);;
test 3
eq_big_int (add_big_int (big_int_of_int 1) zero_big_int,
big_int_of_int 1);;
test 4
eq_big_int (add_big_int zero_big_int (big_int_of_int (-1)),
big_int_of_int (-1));;
test 5
eq_big_int (add_big_int (big_int_of_int (-1)) zero_big_int,
big_int_of_int (-1));;
test 6
eq_big_int (add_big_int (big_int_of_int 1) (big_int_of_int 1),
big_int_of_int 2);;
test 7
eq_big_int (add_big_int (big_int_of_int 1) (big_int_of_int 2),
big_int_of_int 3);;
test 8
eq_big_int (add_big_int (big_int_of_int 2) (big_int_of_int 1),
big_int_of_int 3);;
test 9
eq_big_int (add_big_int (big_int_of_int (-1)) (big_int_of_int (-1)),
big_int_of_int (-2));;
test 10
eq_big_int (add_big_int (big_int_of_int (-1)) (big_int_of_int (-2)),
big_int_of_int (-3));;
test 11
eq_big_int (add_big_int (big_int_of_int (-2)) (big_int_of_int (-1)),
big_int_of_int (-3));;
test 12
eq_big_int (add_big_int (big_int_of_int 1) (big_int_of_int (-1)),
zero_big_int);;
test 13
eq_big_int (add_big_int (big_int_of_int (-1)) (big_int_of_int 1),
zero_big_int);;
test 14
eq_big_int (add_big_int (big_int_of_int 1) (big_int_of_int (-2)),
big_int_of_int (-1));;
test 15
eq_big_int (add_big_int (big_int_of_int (-2)) (big_int_of_int 1),
big_int_of_int (-1));;
test 16
eq_big_int (add_big_int (big_int_of_int (-1)) (big_int_of_int 2),
big_int_of_int 1);;
test 17
eq_big_int (add_big_int (big_int_of_int 2) (big_int_of_int (-1)),
big_int_of_int 1);;
testing_function "sub_big_int";;
test 1
eq_big_int (sub_big_int zero_big_int zero_big_int, zero_big_int);;
test 2
eq_big_int (sub_big_int zero_big_int (big_int_of_int 1),
big_int_of_int (-1));;
test 3
eq_big_int (sub_big_int (big_int_of_int 1) zero_big_int,
big_int_of_int 1);;
test 4
eq_big_int (sub_big_int zero_big_int (big_int_of_int (-1)),
big_int_of_int 1);;
test 5
eq_big_int (sub_big_int (big_int_of_int (-1)) zero_big_int,
big_int_of_int (-1));;
test 6
eq_big_int (sub_big_int (big_int_of_int 1) (big_int_of_int 1),
zero_big_int);;
test 7
eq_big_int (sub_big_int (big_int_of_int 1) (big_int_of_int 2),
big_int_of_int (-1));;
test 8
eq_big_int (sub_big_int (big_int_of_int 2) (big_int_of_int 1),
big_int_of_int 1);;
test 9
eq_big_int (sub_big_int (big_int_of_int (-1)) (big_int_of_int (-1)),
zero_big_int);;
test 10
eq_big_int (sub_big_int (big_int_of_int (-1)) (big_int_of_int (-2)),
big_int_of_int 1);;
test 11
eq_big_int (sub_big_int (big_int_of_int (-2)) (big_int_of_int (-1)),
big_int_of_int (-1));;
test 12
eq_big_int (sub_big_int (big_int_of_int 1) (big_int_of_int (-1)),
big_int_of_int 2);;
test 13
eq_big_int (sub_big_int (big_int_of_int (-1)) (big_int_of_int 1),
big_int_of_int (-2));;
test 14
eq_big_int (sub_big_int (big_int_of_int 1) (big_int_of_int (-2)),
big_int_of_int 3);;
test 15
eq_big_int (sub_big_int (big_int_of_int (-2)) (big_int_of_int 1),
big_int_of_int (-3));;
test 16
eq_big_int (sub_big_int (big_int_of_int (-1)) (big_int_of_int 2),
big_int_of_int (-3));;
test 17
eq_big_int (sub_big_int (big_int_of_int 2) (big_int_of_int (-1)),
big_int_of_int 3);;
testing_function "mult_int_big_int";;
test 1
eq_big_int (mult_int_big_int 0 (big_int_of_int 3), zero_big_int);;
test 2
eq_big_int (mult_int_big_int 1 (big_int_of_int 3), big_int_of_int 3);;
test 3
eq_big_int (mult_int_big_int 1 zero_big_int, zero_big_int);;
test 4
eq_big_int (mult_int_big_int 2 (big_int_of_int 3), big_int_of_int 6);;
testing_function "mult_big_int";;
test 1
eq_big_int (mult_big_int zero_big_int zero_big_int,
zero_big_int);;
test 2
eq_big_int (mult_big_int (big_int_of_int 2) (big_int_of_int 3),
big_int_of_int 6);;
test 3
eq_big_int (mult_big_int (big_int_of_int 2) (big_int_of_int (-3)),
big_int_of_int (-6));;
test 4
eq_big_int (mult_big_int (big_int_of_string "12724951")
(big_int_of_string "81749606400"),
big_int_of_string "1040259735709286400");;
test 5
eq_big_int (mult_big_int (big_int_of_string "26542080")
(big_int_of_string "81749606400"),
big_int_of_string "2169804593037312000");;
testing_function "quomod_big_int";;
let (quotient, modulo) =
quomod_big_int (big_int_of_int 1) (big_int_of_int 1) in
test 1 eq_big_int (quotient, big_int_of_int 1) &
test 2 eq_big_int (modulo, zero_big_int);;
let (quotient, modulo) =
quomod_big_int (big_int_of_int 1) (big_int_of_int (-1)) in
test 3 eq_big_int (quotient, big_int_of_int (-1)) &
test 4 eq_big_int (modulo, zero_big_int);;
let (quotient, modulo) =
quomod_big_int (big_int_of_int (-1)) (big_int_of_int 1) in
test 5 eq_big_int (quotient, big_int_of_int (-1)) &
test 6 eq_big_int (modulo, zero_big_int);;
let (quotient, modulo) =
quomod_big_int (big_int_of_int 3) (big_int_of_int 2) in
test 7 eq_big_int (quotient, big_int_of_int 1) &
test 8 eq_big_int (modulo, big_int_of_int 1);;
let (quotient, modulo) =
quomod_big_int (big_int_of_int 5) (big_int_of_int 3) in
test 9 eq_big_int (quotient, big_int_of_int 1) &
test 10 eq_big_int (modulo, big_int_of_int 2);;
let (quotient, modulo) =
quomod_big_int (big_int_of_int (-5)) (big_int_of_int 3) in
test 11 eq_big_int (quotient, big_int_of_int (-2)) &
test 12 eq_big_int (modulo, big_int_of_int 1);;
let (quotient, modulo) =
quomod_big_int (big_int_of_int 1) (big_int_of_int 2) in
test 13 eq_big_int (quotient, zero_big_int) &
test 14 eq_big_int (modulo, big_int_of_int 1);;
let (quotient, modulo) =
quomod_big_int (big_int_of_int (-1)) (big_int_of_int 3) in
test 15 eq_big_int (quotient, minus_big_int unit_big_int) &
test 16 eq_big_int (modulo, big_int_of_int 2);;
failwith_test 17
(quomod_big_int (big_int_of_int 1)) zero_big_int
Division_by_zero
;;
testing_function "gcd_big_int";;
test 1
eq_big_int (gcd_big_int zero_big_int zero_big_int,
zero_big_int);;
test 2
eq_big_int (gcd_big_int zero_big_int (big_int_of_int 1),
big_int_of_int 1);;
test 3
eq_big_int (gcd_big_int (big_int_of_int 1) zero_big_int,
big_int_of_int 1);;
test 4
eq_big_int (gcd_big_int (big_int_of_int 1) (big_int_of_int 2),
big_int_of_int 1);;
test 5
eq_big_int (gcd_big_int (big_int_of_int 2) (big_int_of_int 1),
big_int_of_int 1);;
test 6
eq_big_int (gcd_big_int (big_int_of_int 1) (big_int_of_int 1),
big_int_of_int 1);;
test 7
eq_big_int (gcd_big_int (big_int_of_int 9) (big_int_of_int 16),
big_int_of_int 1);;
test 8
eq_big_int (gcd_big_int (big_int_of_int 12) (big_int_of_int 16),
big_int_of_int 4);;
for i = 9 to 28 do
let n1 = Random.int 1000000000
and n2 = Random.int 100000 in
test i eq
(int_of_big_int (gcd_big_int (big_int_of_int n1) (big_int_of_int n2)),
gcd_int n1 n2)
done;;
testing_function "int_of_big_int";;
test 1
eq_int (int_of_big_int (big_int_of_int 1), 1);;
test 2
eq (is_int_big_int (big_int_of_int 1), true);;
test 3
eq (is_int_big_int (succ_big_int (big_int_of_int biggest_int)),false);;
testing_function "sys_string_of_big_int";;
test 1
eq_string (string_of_big_int (big_int_of_int 1), "1");;
testing_function "big_int_of_string";;
test 1
eq_big_int (big_int_of_string "1", big_int_of_int 1);;
test 2
eq_big_int (big_int_of_string "-1", big_int_of_int (-1));;
test 4
eq_big_int (big_int_of_string "0", zero_big_int);;
failwith_test 5 big_int_of_string "sdjdkfighdgf"
(Failure "invalid digit");;
test 6
eq_big_int (big_int_of_string "123", big_int_of_int 123);;
test 7
eq_big_int (big_int_of_string "3456", big_int_of_int 3456);;
test 9
eq_big_int (big_int_of_string "-3456", big_int_of_int (-3456));;
let implode = List.fold_left (^) "";; (* Au diable l'efficacite *)
let l = List.rev [
"174679877494298468451661416292903906557638850173895426081611831060970135303";
"044177587617233125776581034213405720474892937404345377707655788096850784519";
"539374048533324740018513057210881137248587265169064879918339714405948322501";
"445922724181830422326068913963858377101914542266807281471620827145038901025";
"322784396182858865537924078131032036927586614781817695777639491934361211399";
"888524140253852859555118862284235219972858420374290985423899099648066366558";
"238523612660414395240146528009203942793935957539186742012316630755300111472";
"852707974927265572257203394961525316215198438466177260614187266288417996647";
"132974072337956513457924431633191471716899014677585762010115338540738783163";
"739223806648361958204720897858193606022290696766988489073354139289154127309";
"916985231051926209439373780384293513938376175026016587144157313996556653811";
"793187841050456120649717382553450099049321059330947779485538381272648295449";
"847188233356805715432460040567660999184007627415398722991790542115164516290";
"619821378529926683447345857832940144982437162642295073360087284113248737998";
"046564369129742074737760485635495880623324782103052289938185453627547195245";
"688272436219215066430533447287305048225780425168823659431607654712261368560";
"702129351210471250717394128044019490336608558608922841794819375031757643448";
"32"
] in
let bi1=big_int_of_string (implode (List.rev l)) in
let bi2=big_int_of_string (implode (List.rev ("3" :: List.tl l))) in
test 10
eq_big_int (bi1, (add_big_int (mult_big_int bi2 (big_int_of_string "10"))
(big_int_of_string "2")));;
testing_function "power_base_int";;
test 1
eq_big_int (big_int_of_nat (power_base_int 10 0), unit_big_int)
;;
test 2
eq_big_int (big_int_of_nat (power_base_int 10 8), big_int_of_int 100000000)
;;
test 3
eq_big_int (big_int_of_nat (power_base_int 2 (if sixtyfour then 64 else 32)),
big_int_of_nat (let nat = make_nat 2 in
set_digit_nat nat 1 1;
nat))
;;
testing_function "base_power_big_int";;
test 1
eq_big_int (base_power_big_int 10 0 (big_int_of_int 2), big_int_of_int 2);;
test 2
eq_big_int (base_power_big_int 10 2 (big_int_of_int 2), big_int_of_int 200);;
test 3
eq_big_int (base_power_big_int 10 1 (big_int_of_int 123), big_int_of_int 1230)
;;
|
