Euclidean-0 modulus. See (/):(x : int64std/core/types/int64: V, y : int64std/core/types/int64: V) -> int64std/core/types/int64: V division for more information.

Multiply two 64-bit integers.

Euclidean-0 division. Euclidean division is defined as: For any D and d where d!=0 , we have:

1. D == d*(D/d) + (D%d)
2. D%d is always positive where 0 <= D%d < abs(d)

Moreover, Euclidean-0 is a total function, for the case where d==0 we have that D%0 == D and D/0 == 0 . So property (1) still holds, but not property (2). Useful laws that hold for Euclidean-0 division:

• D/(-d) == -(D/d)
• D%(-d) == D%d
• D/(2^n) == sarstd/num/int64/sar: (int64, int64) -> int64(D,n) (with 0 <= n <= 31)
• D%(2n) == D & ((2n) - 1) (with 0 <= n <= 31)

Note that an interesting edge case is min-int64std/num/int64/min-int64: int64 / -1 which equals min-int64std/num/int64/min-int64: int64 since in modulo 64-bit arithmetic min-int64std/num/int64/min-int64: int64 == -1 * min-int64std/num/int64/min-int64: int64 == -1 * (min-int64std/num/int64/min-int64: int64 / -1) + (min-int64std/num/int64/min-int64: int64 % -1) satisfying property (1). Of course (min-int64std/num/int64/min-int64: int64 + 1) / -1 is again positive (namely max-int64std/num/int64/max-int64: int64).

See also Division and modulus for computer scientists, Daan Leijen, 2001 pdf .

Take the bitwise xor of two int64std/core/types/int64: Vs.

Negate an 64-bit integer.

Return the absolute value of an integer. Raises an exception if the int64std/core/types/int64: V is min-int64std/num/int64/min-int64: int64 (since the negation of min-int64std/num/int64/min-int64: int64 equals itself and is still negative).

Return the absolute value of an integer. Returns 0 if the int64std/core/types/int64: V is min-int64std/num/int64/min-int64: int64 (since the negation of min-int64std/num/int64/min-int64: int64 equals itself and is still negative).

Take the bitwise and of two int64std/core/types/int64: Vs.

The number of bits in an int64std/core/types/int64: V (always 64).

Convert an int64std/core/types/int64: V to a boolean.

Truncated division (as in C). See also (/):(x : int64std/core/types/int64: V, y : int64std/core/types/int64: V) -> int64std/core/types/int64: V.

Truncated modulus (as in C). See also (%):(x : int64std/core/types/int64: V, y : int64std/core/types/int64: V) -> int64std/core/types/int64: V.

Decrement a 64-bit integer.

Convert an 64-bit integer to a double.

Increment a 64-bit integer.

Convert a boolean to an int64std/core/types/int64: V.

Returns true if the integer i is an even number.

Returns true if the integer i is an odd number.

Return the maximum of two integers.

The maximal integer value before overflow happens.

Return the minimum of two integers.

The minimal integer value before underflow happens.

Negate a 64-bit integer.

Bitwise not of an int64std/core/types/int64: V, i.e. flips all bits.

Take the bitwise or of two int64std/core/types/int64: Vs.

Bitwise rotate an int64std/core/types/int64: V n & 63 bits to the left.

Bitwise rotate an int64std/core/types/int64: V n & 63 bits to the right.

Arithmetic shift an int64std/core/types/int64: V to the right by n & 63 bits. Preserves the sign bit.

Shift an int64std/core/types/int64: V i to the left by n & 63 bits.

Convert an int64std/core/types/int64: V to a string.

Show an int64std/core/types/int64: V in hexadecimal notation The width parameter specifies how wide the hex value is where '0' is used to align.
The use-capitals parameter (= Truestd/core/types/True: bool) determines if captical letters should be used to display the hexadecimal digits.
The pre (="0x") is an optional prefix for the number (goes between the sign and the number).

Show an int64std/core/types/int64: V in hexadecimal notation interpreted as an unsigned 64-bit value. The width parameter specifies how wide the hex value is where '0' is used to align.
The use-capitals parameter (= Truestd/core/types/True: bool) determines if captical letters should be used to display the hexadecimal digits.
The pre (="0x") is an optional prefix for the number.

Logical shift an int64std/core/types/int64: V to the right by n & 63 bits. Shift in zeros from the left.

Convert an int64std/core/types/int64: V to an intstd/core/types/int: V but interpret the int64std/core/types/int64: V as a 64-bit unsigned value.

Convert an intstd/core/types/int: V to int64std/core/types/int64: V but interpret the int as an unsigned 64-bit value. i is clamped between 0 and 0xFFFFFFFFFFFFFFFF.
0x7FFFFFFFFFFFFFFF.uint64std/num/int64/uint64: (i : int) -> int64 == 0x7FFFFFFFFFFFFFFF.int64 == max-int64std/num/int64/max-int64: int64
0x8000000000000000.uint64std/num/int64/uint64: (i : int) -> int64 == -0x800000000000000.int64 == min-int64std/num/int64/min-int64: int64
0xFFFFFFFFFFFFFFFF.uint64std/num/int64/uint64: (i : int) -> int64 == -1.int64.