DoxigAlpha

lldiv1

Knuth 4.3.1, Exercise 16.

Function parameters

Parameters

#
quo:[]Limb
rem:*Limb
a:[]const Limb

Used to indicate either limit of a 2s-complement integer.

Types

#
TwosCompIntLimit
Used to indicate either limit of a 2s-complement integer.
Mutable
A arbitrary-precision big integer, with a fixed set of mutable limbs.
Const
A arbitrary-precision big integer, with a fixed set of immutable limbs.
Managed
An arbitrary-precision big integer along with an allocator which manages the memory.

Returns the number of limbs needed to store `scalar`, which must be a

Functions

#
calcLimbLen
Returns the number of limbs needed to store `scalar`, which must be a
calcSetStringLimbCount
Assumes `string_len` doesn't account for minus signs if the number is negative.
calcNonZeroTwosCompLimbCount
Compute the number of limbs required to store a 2s-complement number of `bit_count` bits.
calcTwosCompLimbCount
Compute the number of limbs required to store a 2s-complement number of `bit_count` bits.
addMulLimbWithCarry
a + b * c + *carry, sets carry to the overflow bits
llcmp
Returns -1, 0, 1 if |a| < |b|, |a| == |b| or |a| > |b| respectively for limbs.

Source

Implementation

#
fn lldiv1(quo: []Limb, rem: *Limb, a: []const Limb, b: Limb) void {
    assert(a.len > 1 or a[0] >= b);
    assert(quo.len >= a.len);

    rem.* = 0;
    for (a, 0..) |_, ri| {
        const i = a.len - ri - 1;
        const pdiv = ((@as(DoubleLimb, rem.*) << limb_bits) | a[i]);

        if (pdiv == 0) {
            quo[i] = 0;
            rem.* = 0;
        } else if (pdiv < b) {
            quo[i] = 0;
            rem.* = @as(Limb, @truncate(pdiv));
        } else if (pdiv == b) {
            quo[i] = 1;
            rem.* = 0;
        } else {
            quo[i] = @as(Limb, @truncate(@divTrunc(pdiv, b)));
            rem.* = @as(Limb, @truncate(pdiv - (quo[i] *% b)));
        }
    }
}