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18dda6ff9d
We have: - `init` to create a new `Int` - `init(from_integer)` to create a new `Int` and set it to `from_integer`. - `set(Int, from_integer)` to set an `Int` to `from_integer` - `add(dest, a, b)` to add `a` and `b` into `dest`. - `sub(dest, a, b)` to subtract `b` from `a` and put the result in `dest`. And a few helper functions, like: - `is_zero`, `is_negative`, ... - `grow`, `shrink`, `clear`, `zero`
98 lines
2.3 KiB
Odin
98 lines
2.3 KiB
Odin
package bigint
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/*
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Copyright 2021 Jeroen van Rijn <nom@duclavier.com>.
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Made available under Odin's BSD-2 license.
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A BigInt implementation in Odin.
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For the theoretical underpinnings, see Knuth's The Art of Computer Programming, Volume 2, section 4.3.
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The code started out as an idiomatic source port of libTomMath, which is in the public domain, with thanks.
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*/
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import "core:intrinsics"
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is_initialized :: proc(a: ^Int) -> bool {
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return a != rawptr(uintptr(0));
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}
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is_zero :: proc(a: ^Int) -> bool {
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return is_initialized(a) && a.used == 0;
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}
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is_positive :: proc(a: ^Int) -> bool {
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return is_initialized(a) && a.sign == .Zero_or_Positive;
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}
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is_pos :: is_positive;;
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is_negative :: proc(a: ^Int) -> bool {
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return is_initialized(a) && a.sign == .Negative;
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}
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is_neg :: is_negative;
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/*
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Compare two `Int`s, signed.
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*/
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compare :: proc(a, b: ^Int) -> Comparison_Flag {
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if !is_initialized(a) { return .Uninitialized; }
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if !is_initialized(b) { return .Uninitialized; }
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/* Compare based on sign */
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if a.sign != b.sign {
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return .Less_Than if is_negative(a) else .Greater_Than;
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}
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x, y := a, b;
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/* If negative, compare in the opposite direction */
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if is_neg(a) {
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x, y = b, a;
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}
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return cmp_mag(x, y);
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}
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cmp :: compare;
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/*
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Compare the magnitude of two `Int`s, unsigned.
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*/
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compare_magnitude :: proc(a, b: ^Int) -> Comparison_Flag {
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if !is_initialized(a) { return .Uninitialized; }
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if !is_initialized(b) { return .Uninitialized; }
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/* Compare based on used digits */
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if a.used != b.used {
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return .Greater_Than if a.used > b.used else .Less_Than;
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}
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/* Same number of used digits, compare based on their value */
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for n := a.used - 1; n >= 0; n -= 1 {
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if a.digit[n] != b.digit[n] {
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return .Greater_Than if a.digit[n] > b.digit[n] else .Less_Than;
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}
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}
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return .Equal;
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}
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cmp_mag :: compare_magnitude;
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/*
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Compare an `Int` to an unsigned number upto the size of the backing type.
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*/
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compare_digit :: proc(a: ^Int, u: DIGIT) -> Comparison_Flag {
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if !is_initialized(a) { return .Uninitialized; }
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/* Compare based on sign */
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if is_neg(a) {
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return .Less_Than;
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}
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/* Compare based on magnitude */
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if a.used > 1 {
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return .Greater_Than;
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}
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/* Compare the only digit in `a` to `u`. */
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if a.digit[0] != u {
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return .Greater_Than if a.digit[0] > u else .Less_Than;
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}
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return .Equal;
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} |