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|
let pow2 n =
let rec doit acc n =
if n<=0 then acc else doit (Z.add acc acc) (n-1)
in
doit Z.one n
let p30 = pow2 30
let p62 = pow2 62
let p300 = pow2 300
let p120 = pow2 120
let p121 = pow2 121
let test_of_string_Z () =
let round_trip_Z () =
let round_trip fmt x=
(Z.equal (Z.of_string (Z.format fmt x)) x)
in
let formats = [
"%i"; "%#b"; "%#o"; "%#x"; "%#X";
"%+i"; "%#+b"; "%#+o"; "%#+x"; "%#+X";
"%+0i"; "%#+0b"; "%#+0o"; "%#+0x"; "%#+0X";
] in
let numbers =
let (+) = Z.add in
let l = [p30; p62; p30 + p62; p300; p120; p121] in
l @ (List.map Z.neg l)
in
List.iter
(fun fmt ->
assert
(
List.for_all
(fun x -> round_trip fmt x)
numbers
)
)
formats
in
let fail d f x =
try
ignore (f x);
Printf.printf "%s should fail on %s\n" d x
with _ -> ()
in
let succ d f x y =
try
let z = f x in
if Z.equal z y
then ()
else
Printf.printf
"%s(%s) returned %s, expected %s\n"
d
x
(Z.to_string z)
(Z.to_string y)
with _ ->
Printf.printf "%s failed. Expected %s\n" d (Z.to_string y)
in
let z_and_int_agree s =
let f = try Some (int_of_string s) with _ -> None in
let z = try Some (Z.of_string s) with _ -> None in
match f,z with
| None, None -> ()
| Some i, Some z ->
if not (Z.equal (Z.of_int i) z)
then
Printf.printf
"Z.of_string (%s) returned %s, expected %s\n"
s
(Z.to_string z)
(string_of_int i)
| Some i, None ->
Printf.printf
"Z.of_string (%s) failed, expected %s\n"
s
(string_of_int i)
| None, Some z ->
Printf.printf
"Z.of_string (%s) returned %s, failure expected"
s
(Z.to_string z)
in
round_trip_Z ();
fail "Z.of_string" Z.of_string "0b2";
fail "Z.of_string" Z.of_string "0o8";
fail "Z.of_string" Z.of_string "0xg";
fail "Z.of_string" Z.of_string "0xG";
fail "Z.of_string" Z.of_string "0A";
succ "Z.of_string" Z.of_string "" Z.zero;
succ "Z.of_string" Z.of_string "+" Z.zero;
succ "Z.of_string" Z.of_string "-" Z.zero;
succ "Z.of_string" Z.of_string "0x" Z.zero;
succ "Z.of_string" Z.of_string "0b" Z.zero;
fail "Z.of_substring" (Z.of_substring ~pos:1 ~len:2) "0b2";
fail "Z.of_substring" (Z.of_substring ~pos:1 ~len:2) "0o8";
fail "Z.of_substring" (Z.of_substring ~pos:1 ~len:2) "0xg";
fail "Z.of_substring" (Z.of_substring ~pos:1 ~len:2) "0xG";
fail "Z.of_substring" (Z.of_substring ~pos:1 ~len:1) "0A";
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:0) "+" Z.zero;
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:1) "-+" Z.zero;
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:2)"--1-" (Z.minus_one);
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:2)"--1\000" (Z.minus_one);
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:2)"\000-1\000" (Z.minus_one);
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:1)"00b1" Z.zero;
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:2)"00b1" Z.zero;
succ "Z.of_substring" (Z.of_substring ~pos:1 ~len:3)"00b1" Z.one;
z_and_int_agree "_123";
z_and_int_agree "1_23";
z_and_int_agree "12_3";
z_and_int_agree "123_";
z_and_int_agree "0x_123";
z_and_int_agree "0_123";
let s = Z.format "%#b" p120 in
let n = String.length s in
for i = 0 to n - 3 do
succ "Z.of_substring"
(Z.of_substring ~pos:0 ~len:(n - i))
s
(Z.shift_right p120 i)
done
let _ = test_of_string_Z ()
let test_of_string_Q () =
let round_trip_Q () =
let round_trip fmt x=
let os = Q.of_string (Z.to_string x) in
let ob = Q.of_bigint x in
if Q.equal os ob then
true
else begin
Format.printf "%a not equal to %a\n" Q.pp_print os Q.pp_print ob;
false
end
in
let formats = [
"%i"; "%#b"; "%#o"; "%#x"; "%#X";
"%+i"; "%#+b"; "%#+o"; "%#+x"; "%#+X";
"%+0i"; "%#+0b"; "%#+0o"; "%#+0x"; "%#+0X";
] in
let numbers =
let (+) = Z.add in
let l = [p30; p62; p30 + p62; p300; p120; p121] in
(l @ (List.map Z.neg l))
in
List.iter
(fun fmt ->
assert
(
List.for_all
(fun x -> round_trip fmt x)
numbers
)
)
formats
in
let fail d f x =
try
let s = f x in
Printf.printf "%s should fail on %s. Got %s\n" d x (Q.to_string s)
with _ -> ()
in
let succ d f x y =
try
let z = f x in
if Q.equal z y
then ()
else
Printf.printf
"%s(%s) returned %s, expected %s\n"
d
x
(Q.to_string z)
(Q.to_string y)
with exc ->
Printf.printf "%s failed. Expected %s. Got %s\n" d (Q.to_string y)
(Printexc.to_string exc)
in
let q_and_float_agree s =
let f = try Some (float_of_string s) with _ -> None in
let q = try Some (Q.of_string s) with _ -> None in
match f,q with
| None, None -> ()
| Some f, Some q ->
if not ((Q.to_float q) = f)
then
Printf.printf
"Q.of_string (%s) returned %s, expected %s\n"
s
(Q.to_string q)
(string_of_float f)
| Some f, None ->
Printf.printf
"Q.of_string (%s) failed, expected %s\n"
s
(string_of_float f)
| None, Some q ->
Printf.printf
"Q.of_string (%s) returned %s, failure expected"
s
(Q.to_string q)
in
round_trip_Q ();
fail "Q.of_string" Q.of_string "0b2";
fail "Q.of_string" Q.of_string "0o8";
fail "Q.of_string" Q.of_string "0xg";
fail "Q.of_string" Q.of_string "0xG";
fail "Q.of_string" Q.of_string "0A";
succ "Q.of_string" Q.of_string "" Q.zero;
succ "Q.of_string" Q.of_string "+" Q.zero;
succ "Q.of_string" Q.of_string "-" Q.zero;
succ "Q.of_string" Q.of_string "0x" Q.zero;
succ "Q.of_string" Q.of_string "0X" Q.zero;
succ "Q.of_string" Q.of_string "0o" Q.zero;
succ "Q.of_string" Q.of_string "0O" Q.zero;
succ "Q.of_string" Q.of_string "0b" Q.zero;
succ "Q.of_string" Q.of_string "0B" Q.zero;
succ "Q.of_string" Q.of_string "0b101" (Q.of_string "5");
succ "Q.of_string" Q.of_string "0B101" (Q.of_string "5");
succ "Q.of_string" Q.of_string "0o101" (Q.of_string "65");
succ "Q.of_string" Q.of_string "0O101" (Q.of_string "65");
fail "Q.of_string" Q.of_string "0b2";
fail "Q.of_string" Q.of_string "0o8";
fail "Q.of_string" Q.of_string "0xg";
fail "Q.of_string" Q.of_string "0xG";
fail "Q.of_string" Q.of_string "0A";
fail "Q.of_string" Q.of_string "-0b0.1e1";
fail "Q.of_string" Q.of_string "-0o0.1E1";
fail "Q.of_string" Q.of_string "-0b0.1P1";
fail "Q.of_string" Q.of_string "-0o0.1p1";
fail "Q.of_string" Q.of_string "-0.1P1";
fail "Q.of_string" Q.of_string "-0.1p1";
succ "Q.of_string" Q.of_string "0x1e2" (Q.of_int 482);
succ "Q.of_string" Q.of_string "1e2" (Q.of_int 100);
succ "Q.of_string" Q.of_string "+" Q.zero;
succ "Q.of_string" Q.of_string "-+" Q.zero;
succ "Q.of_string" Q.of_string "-1" Q.minus_one;
succ "Q.of_string" Q.of_string "+0xFF.8" (Q.of_float 255.5);
succ "Q.of_string" Q.of_string "+0xff.8" (Q.of_float 255.5);
succ "Q.of_string" Q.of_string "-0xFF.8" (Q.of_float (-255.5));
succ "Q.of_string" Q.of_string "-0xff.8" (Q.of_float (-255.5));
succ "Q.of_string" Q.of_string "-0.1e1" (Q.of_float (float_of_string "-0.1e1")) ;
succ "Q.of_string" Q.of_string "-0.1E1" (Q.of_float (float_of_string "-0.1E1")) ;
succ "Q.of_string" Q.of_string "-0x0.1P1" (Q.of_float (float_of_string "-0x0.1P1")) ;
succ "Q.of_string" Q.of_string "-0x0.1p1" (Q.of_float (float_of_string "-0x0.1p1")) ;
succ "Q.of_string" Q.of_string "6.674e-11" (Q.of_string "0.00000000006674") ;
q_and_float_agree "-0x0.1p1" ;
q_and_float_agree "-0x0.1P1" ;
q_and_float_agree "-0x0.1p10" ;
q_and_float_agree "-0x0.1p10" ;
q_and_float_agree "1_2.34e03";
q_and_float_agree "12_.34e03";
q_and_float_agree "12._34e03";
q_and_float_agree "12.3_4e03";
q_and_float_agree "12.34_e03";
(* float_of_string accept leading underscores after ( 'e' | 'E'), Q does not. *)
(* q_and_float_agree "12.34e_03"; *)
q_and_float_agree "12.34e0_3";
q_and_float_agree "12.34e03_";
q_and_float_agree "000_001";
q_and_float_agree "001_000";
q_and_float_agree "123.";
(* underscores right after dot are accepted. *)
q_and_float_agree "1._001";
q_and_float_agree "._001";
(* float_of_string doesn't accept strings without digits, Q and Z do (e.g. "+", "-", "0x", "." *)
(* q_and_float_agree "."; *)
(* q_and_float_agree "._"; *)
q_and_float_agree "0.x00a";
q_and_float_agree ".-001";
()
let _ = test_of_string_Q ()
|
