module Big_int: sig end
Big integers (type big_int) are signed integers of arbitrary size.
type big_int
val zero_big_int : big_int0.val unit_big_int : big_int1.
Arithmetic operations
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val minus_big_int : big_int -> big_intval abs_big_int : big_int -> big_intval add_big_int : big_int -> big_int -> big_intval succ_big_int : big_int -> big_intval add_int_big_int : int -> big_int -> big_intval sub_big_int : big_int -> big_int -> big_intval pred_big_int : big_int -> big_intval mult_big_int : big_int -> big_int -> big_intval mult_int_big_int : int -> big_int -> big_intval square_big_int : big_int -> big_intval sqrt_big_int : big_int -> big_intsqrt_big_int a returns the integer square root of a,
that is, the largest big integer r such that r * r <= a.
Raise Invalid_argument if a is negative.val quomod_big_int : big_int -> big_int -> big_int * big_int(q,r) = quomod_big_int a b, we have
a = q * b + r and 0 <= r < |b|.
Raise Division_by_zero if the divisor is zero.val div_big_int : big_int -> big_int -> big_intq of quomod_big_int (see above).val mod_big_int : big_int -> big_int -> big_intr of quomod_big_int (see above).val gcd_big_int : big_int -> big_int -> big_intval power_int_positive_int : int -> int -> big_intval power_big_int_positive_int : big_int -> int -> big_intval power_int_positive_big_int : int -> big_int -> big_intval power_big_int_positive_big_int : big_int -> big_int -> big_inta raised to the power b
(the second argument). Depending
on the function, a and b can be either small integers
or big integers. Raise Invalid_argument if b is negative.
Comparisons and tests
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val sign_big_int : big_int -> int0 if the given big integer is zero,
1 if it is positive, and -1 if it is negative.val compare_big_int : big_int -> big_int -> intcompare_big_int a b returns 0 if a and b are equal,
1 if a is greater than b, and -1 if a is smaller
than b.val eq_big_int : big_int -> big_int -> boolval le_big_int : big_int -> big_int -> boolval ge_big_int : big_int -> big_int -> boolval lt_big_int : big_int -> big_int -> boolval gt_big_int : big_int -> big_int -> boolval max_big_int : big_int -> big_int -> big_intval min_big_int : big_int -> big_int -> big_intval num_digits_big_int : big_int -> int
Conversions to and from strings
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val string_of_big_int : big_int -> stringval big_int_of_string : string -> big_int- or + sign,
followed by one or several decimal digits.
Conversions to and from other numerical types
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val big_int_of_int : int -> big_intval is_int_big_int : big_int -> boolint)
without loss of precision. On a 32-bit platform,
is_int_big_int a returns true if and only if
a is between 230 and 230-1. On a 64-bit platform,
is_int_big_int a returns true if and only if
a is between -262 and 262-1.val int_of_big_int : big_int -> intint).
Raises Failure "int_of_big_int" if the big integer
is not representable as a small integer.val float_of_big_int : big_int -> float