mirror of
https://codeberg.org/ziglang/zig.git
synced 2025-12-06 05:44:20 +00:00
3334 lines
113 KiB
Zig
3334 lines
113 KiB
Zig
const std = @import("../../std.zig");
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const builtin = @import("builtin");
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const mem = std.mem;
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const testing = std.testing;
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const Managed = std.math.big.int.Managed;
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const Mutable = std.math.big.int.Mutable;
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const Limb = std.math.big.Limb;
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const SignedLimb = std.math.big.SignedLimb;
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const DoubleLimb = std.math.big.DoubleLimb;
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const SignedDoubleLimb = std.math.big.SignedDoubleLimb;
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const calcTwosCompLimbCount = std.math.big.int.calcTwosCompLimbCount;
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const maxInt = std.math.maxInt;
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const minInt = std.math.minInt;
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// NOTE: All the following tests assume the max machine-word will be 64-bit.
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//
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// They will still run on larger than this and should pass, but the multi-limb code-paths
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// may be untested in some cases.
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test "comptime_int set" {
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comptime var s = 0xefffffff00000001eeeeeeefaaaaaaab;
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var a = try Managed.initSet(testing.allocator, s);
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defer a.deinit();
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const s_limb_count = 128 / @typeInfo(Limb).int.bits;
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comptime var i: usize = 0;
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inline while (i < s_limb_count) : (i += 1) {
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const result = @as(Limb, s & maxInt(Limb));
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s >>= @typeInfo(Limb).int.bits / 2;
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s >>= @typeInfo(Limb).int.bits / 2;
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try testing.expect(a.limbs[i] == result);
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}
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}
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test "comptime_int set negative" {
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var a = try Managed.initSet(testing.allocator, -10);
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defer a.deinit();
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try testing.expect(a.limbs[0] == 10);
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try testing.expect(a.isPositive() == false);
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}
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test "int set unaligned small" {
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var a = try Managed.initSet(testing.allocator, @as(u7, 45));
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defer a.deinit();
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try testing.expect(a.limbs[0] == 45);
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try testing.expect(a.isPositive() == true);
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}
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test "comptime_int to" {
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var a = try Managed.initSet(testing.allocator, 0xefffffff00000001eeeeeeefaaaaaaab);
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defer a.deinit();
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try testing.expect((try a.toInt(u128)) == 0xefffffff00000001eeeeeeefaaaaaaab);
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}
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test "sub-limb to" {
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var a = try Managed.initSet(testing.allocator, 10);
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defer a.deinit();
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try testing.expect((try a.toInt(u8)) == 10);
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}
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test "set negative minimum" {
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var a = try Managed.initSet(testing.allocator, @as(i64, minInt(i64)));
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defer a.deinit();
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try testing.expect((try a.toInt(i64)) == minInt(i64));
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}
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test "set double-width maximum then zero" {
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var a = try Managed.initSet(testing.allocator, maxInt(DoubleLimb));
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defer a.deinit();
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try a.set(@as(DoubleLimb, 0));
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try testing.expectEqual(@as(DoubleLimb, 0), try a.toInt(DoubleLimb));
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}
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test "to target too small error" {
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var a = try Managed.initSet(testing.allocator, 0xffffffff);
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defer a.deinit();
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try testing.expectError(error.TargetTooSmall, a.toInt(u8));
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}
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test "normalize" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.ensureCapacity(8);
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a.limbs[0] = 1;
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a.limbs[1] = 2;
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a.limbs[2] = 3;
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a.limbs[3] = 0;
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a.normalize(4);
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try testing.expect(a.len() == 3);
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a.limbs[0] = 1;
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a.limbs[1] = 2;
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a.limbs[2] = 3;
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a.normalize(3);
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try testing.expect(a.len() == 3);
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a.limbs[0] = 0;
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a.limbs[1] = 0;
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a.normalize(2);
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try testing.expect(a.len() == 1);
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a.limbs[0] = 0;
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a.normalize(1);
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try testing.expect(a.len() == 1);
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}
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test "normalize multi" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.ensureCapacity(8);
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a.limbs[0] = 1;
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a.limbs[1] = 2;
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a.limbs[2] = 0;
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a.limbs[3] = 0;
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a.normalize(4);
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try testing.expect(a.len() == 2);
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a.limbs[0] = 1;
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a.limbs[1] = 2;
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a.limbs[2] = 3;
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a.normalize(3);
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try testing.expect(a.len() == 3);
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a.limbs[0] = 0;
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a.limbs[1] = 0;
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a.limbs[2] = 0;
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a.limbs[3] = 0;
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a.normalize(4);
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try testing.expect(a.len() == 1);
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a.limbs[0] = 0;
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a.normalize(1);
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try testing.expect(a.len() == 1);
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}
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test "parity" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.set(0);
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try testing.expect(a.isEven());
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try testing.expect(!a.isOdd());
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try a.set(7);
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try testing.expect(!a.isEven());
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try testing.expect(a.isOdd());
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}
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test "bitcount + sizeInBaseUpperBound" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.set(0b100);
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try testing.expect(a.bitCountAbs() == 3);
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try testing.expect(a.sizeInBaseUpperBound(2) >= 3);
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try testing.expect(a.sizeInBaseUpperBound(10) >= 1);
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a.negate();
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try testing.expect(a.bitCountAbs() == 3);
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try testing.expect(a.sizeInBaseUpperBound(2) >= 4);
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try testing.expect(a.sizeInBaseUpperBound(10) >= 2);
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try a.set(0xffffffff);
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try testing.expect(a.bitCountAbs() == 32);
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try testing.expect(a.sizeInBaseUpperBound(2) >= 32);
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try testing.expect(a.sizeInBaseUpperBound(10) >= 10);
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try a.shiftLeft(&a, 5000);
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try testing.expect(a.bitCountAbs() == 5032);
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try testing.expect(a.sizeInBaseUpperBound(2) >= 5032);
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a.setSign(false);
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try testing.expect(a.bitCountAbs() == 5032);
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try testing.expect(a.sizeInBaseUpperBound(2) >= 5033);
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}
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test "bitcount/to" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.set(0);
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try testing.expect(a.bitCountTwosComp() == 0);
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try testing.expect((try a.toInt(u0)) == 0);
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try testing.expect((try a.toInt(i0)) == 0);
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try a.set(-1);
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try testing.expect(a.bitCountTwosComp() == 1);
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try testing.expect((try a.toInt(i1)) == -1);
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try a.set(-8);
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try testing.expect(a.bitCountTwosComp() == 4);
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try testing.expect((try a.toInt(i4)) == -8);
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try a.set(127);
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try testing.expect(a.bitCountTwosComp() == 7);
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try testing.expect((try a.toInt(u7)) == 127);
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try a.set(-128);
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try testing.expect(a.bitCountTwosComp() == 8);
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try testing.expect((try a.toInt(i8)) == -128);
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try a.set(-129);
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try testing.expect(a.bitCountTwosComp() == 9);
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try testing.expect((try a.toInt(i9)) == -129);
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}
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test "fits" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.set(0);
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try testing.expect(a.fits(u0));
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try testing.expect(a.fits(i0));
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try a.set(255);
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try testing.expect(!a.fits(u0));
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try testing.expect(!a.fits(u1));
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try testing.expect(!a.fits(i8));
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try testing.expect(a.fits(u8));
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try testing.expect(a.fits(u9));
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try testing.expect(a.fits(i9));
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try a.set(-128);
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try testing.expect(!a.fits(i7));
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try testing.expect(a.fits(i8));
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try testing.expect(a.fits(i9));
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try testing.expect(!a.fits(u9));
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try a.set(0x1ffffffffeeeeeeee);
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try testing.expect(!a.fits(u32));
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try testing.expect(!a.fits(u64));
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try testing.expect(a.fits(u65));
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}
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test "string set" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.setString(10, "120317241209124781241290847124");
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try testing.expect((try a.toInt(u128)) == 120317241209124781241290847124);
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}
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test "string negative" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.setString(10, "-1023");
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try testing.expect((try a.toInt(i32)) == -1023);
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}
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test "string set number with underscores" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.setString(10, "__1_2_0_3_1_7_2_4_1_2_0_____9_1__2__4_7_8_1_2_4_1_2_9_0_8_4_7_1_2_4___");
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try testing.expect((try a.toInt(u128)) == 120317241209124781241290847124);
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}
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test "string set case insensitive number" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.setString(16, "aB_cD_eF");
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try testing.expect((try a.toInt(u32)) == 0xabcdef);
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}
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test "string set bad char error" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try testing.expectError(error.InvalidCharacter, a.setString(10, "x"));
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}
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test "string set bad base error" {
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try testing.expectError(error.InvalidBase, a.setString(45, "10"));
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}
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test "twos complement limit set" {
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try testTwosComplementLimit(u64);
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try testTwosComplementLimit(i64);
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try testTwosComplementLimit(u1);
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try testTwosComplementLimit(i1);
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try testTwosComplementLimit(u0);
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try testTwosComplementLimit(i0);
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try testTwosComplementLimit(u65);
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try testTwosComplementLimit(i65);
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}
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fn testTwosComplementLimit(comptime T: type) !void {
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const int_info = @typeInfo(T).int;
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var a = try Managed.init(testing.allocator);
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defer a.deinit();
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try a.setTwosCompIntLimit(.max, int_info.signedness, int_info.bits);
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const max: T = maxInt(T);
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try testing.expect(max == try a.toInt(T));
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try a.setTwosCompIntLimit(.min, int_info.signedness, int_info.bits);
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const min: T = minInt(T);
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try testing.expect(min == try a.toInt(T));
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}
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test "string to" {
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var a = try Managed.initSet(testing.allocator, 120317241209124781241290847124);
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defer a.deinit();
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const as = try a.toString(testing.allocator, 10, .lower);
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defer testing.allocator.free(as);
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const es = "120317241209124781241290847124";
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try testing.expect(mem.eql(u8, as, es));
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}
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test "string to base base error" {
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var a = try Managed.initSet(testing.allocator, 0xffffffff);
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defer a.deinit();
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try testing.expectError(error.InvalidBase, a.toString(testing.allocator, 45, .lower));
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}
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test "string to base 2" {
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var a = try Managed.initSet(testing.allocator, -0b1011);
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defer a.deinit();
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const as = try a.toString(testing.allocator, 2, .lower);
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defer testing.allocator.free(as);
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const es = "-1011";
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try testing.expect(mem.eql(u8, as, es));
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}
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test "string to base 16" {
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var a = try Managed.initSet(testing.allocator, 0xefffffff00000001eeeeeeefaaaaaaab);
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defer a.deinit();
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const as = try a.toString(testing.allocator, 16, .lower);
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defer testing.allocator.free(as);
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const es = "efffffff00000001eeeeeeefaaaaaaab";
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try testing.expect(mem.eql(u8, as, es));
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}
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test "neg string to" {
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var a = try Managed.initSet(testing.allocator, -123907434);
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defer a.deinit();
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const as = try a.toString(testing.allocator, 10, .lower);
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defer testing.allocator.free(as);
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const es = "-123907434";
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try testing.expect(mem.eql(u8, as, es));
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}
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test "zero string to" {
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var a = try Managed.initSet(testing.allocator, 0);
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defer a.deinit();
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const as = try a.toString(testing.allocator, 10, .lower);
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defer testing.allocator.free(as);
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const es = "0";
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try testing.expect(mem.eql(u8, as, es));
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}
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test "clone" {
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var a = try Managed.initSet(testing.allocator, 1234);
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defer a.deinit();
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var b = try a.clone();
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defer b.deinit();
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try testing.expect((try a.toInt(u32)) == 1234);
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try testing.expect((try b.toInt(u32)) == 1234);
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try a.set(77);
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try testing.expect((try a.toInt(u32)) == 77);
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try testing.expect((try b.toInt(u32)) == 1234);
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}
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test "swap" {
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var a = try Managed.initSet(testing.allocator, 1234);
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defer a.deinit();
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var b = try Managed.initSet(testing.allocator, 5678);
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defer b.deinit();
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try testing.expect((try a.toInt(u32)) == 1234);
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try testing.expect((try b.toInt(u32)) == 5678);
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a.swap(&b);
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try testing.expect((try a.toInt(u32)) == 5678);
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try testing.expect((try b.toInt(u32)) == 1234);
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}
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test "to negative" {
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var a = try Managed.initSet(testing.allocator, -10);
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defer a.deinit();
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try testing.expect((try a.toInt(i32)) == -10);
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}
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test "compare" {
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var a = try Managed.initSet(testing.allocator, -11);
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defer a.deinit();
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var b = try Managed.initSet(testing.allocator, 10);
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defer b.deinit();
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try testing.expect(a.orderAbs(b) == .gt);
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try testing.expect(a.order(b) == .lt);
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}
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test "compare similar" {
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var a = try Managed.initSet(testing.allocator, 0xffffffffeeeeeeeeffffffffeeeeeeee);
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defer a.deinit();
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var b = try Managed.initSet(testing.allocator, 0xffffffffeeeeeeeeffffffffeeeeeeef);
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defer b.deinit();
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try testing.expect(a.orderAbs(b) == .lt);
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try testing.expect(b.orderAbs(a) == .gt);
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}
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test "compare different limb size" {
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var a = try Managed.initSet(testing.allocator, maxInt(Limb) + 1);
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defer a.deinit();
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var b = try Managed.initSet(testing.allocator, 1);
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defer b.deinit();
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try testing.expect(a.orderAbs(b) == .gt);
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try testing.expect(b.orderAbs(a) == .lt);
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}
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test "compare multi-limb" {
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var a = try Managed.initSet(testing.allocator, -0x7777777799999999ffffeeeeffffeeeeffffeeeef);
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defer a.deinit();
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var b = try Managed.initSet(testing.allocator, 0x7777777799999999ffffeeeeffffeeeeffffeeeee);
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defer b.deinit();
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try testing.expect(a.orderAbs(b) == .gt);
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try testing.expect(a.order(b) == .lt);
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}
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test "equality" {
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var a = try Managed.initSet(testing.allocator, 0xffffffff1);
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defer a.deinit();
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var b = try Managed.initSet(testing.allocator, -0xffffffff1);
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defer b.deinit();
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try testing.expect(a.eqlAbs(b));
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try testing.expect(!a.eql(b));
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}
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test "abs" {
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var a = try Managed.initSet(testing.allocator, -5);
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defer a.deinit();
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a.abs();
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try testing.expect((try a.toInt(u32)) == 5);
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a.abs();
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try testing.expect((try a.toInt(u32)) == 5);
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}
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test "negate" {
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var a = try Managed.initSet(testing.allocator, 5);
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defer a.deinit();
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a.negate();
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try testing.expect((try a.toInt(i32)) == -5);
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a.negate();
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try testing.expect((try a.toInt(i32)) == 5);
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}
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test "add single-single" {
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var a = try Managed.initSet(testing.allocator, 50);
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defer a.deinit();
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var b = try Managed.initSet(testing.allocator, 5);
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defer b.deinit();
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var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.add(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u32)) == 55);
|
|
}
|
|
|
|
test "add multi-single" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) + 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
|
|
try c.add(&a, &b);
|
|
try testing.expect((try c.toInt(DoubleLimb)) == maxInt(Limb) + 2);
|
|
|
|
try c.add(&b, &a);
|
|
try testing.expect((try c.toInt(DoubleLimb)) == maxInt(Limb) + 2);
|
|
}
|
|
|
|
test "add multi-multi" {
|
|
var op1: u128 = 0xefefefef7f7f7f7f;
|
|
var op2: u128 = 0xfefefefe9f9f9f9f;
|
|
// These must be runtime-known to prevent this comparison being tautological, as the
|
|
// compiler uses `std.math.big.int` internally to add these values at comptime.
|
|
_ = .{ &op1, &op2 };
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.add(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u128)) == op1 + op2);
|
|
}
|
|
|
|
test "add zero-zero" {
|
|
var a = try Managed.initSet(testing.allocator, 0);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.add(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u32)) == 0);
|
|
}
|
|
|
|
test "add alias multi-limb nonzero-zero" {
|
|
const op1 = 0xffffffff777777771;
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0);
|
|
defer b.deinit();
|
|
|
|
try a.add(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u128)) == op1);
|
|
}
|
|
|
|
test "add sign" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
var one = try Managed.initSet(testing.allocator, 1);
|
|
defer one.deinit();
|
|
var two = try Managed.initSet(testing.allocator, 2);
|
|
defer two.deinit();
|
|
var neg_one = try Managed.initSet(testing.allocator, -1);
|
|
defer neg_one.deinit();
|
|
var neg_two = try Managed.initSet(testing.allocator, -2);
|
|
defer neg_two.deinit();
|
|
|
|
try a.add(&one, &two);
|
|
try testing.expect((try a.toInt(i32)) == 3);
|
|
|
|
try a.add(&neg_one, &two);
|
|
try testing.expect((try a.toInt(i32)) == 1);
|
|
|
|
try a.add(&one, &neg_two);
|
|
try testing.expect((try a.toInt(i32)) == -1);
|
|
|
|
try a.add(&neg_one, &neg_two);
|
|
try testing.expect((try a.toInt(i32)) == -3);
|
|
}
|
|
|
|
test "add comptime scalar" {
|
|
var a = try Managed.initSet(testing.allocator, 50);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
try b.addScalar(&a, 5);
|
|
|
|
try testing.expect((try b.toInt(u32)) == 55);
|
|
}
|
|
|
|
test "add scalar" {
|
|
var a = try Managed.initSet(testing.allocator, 123);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
try b.addScalar(&a, @as(u32, 31));
|
|
|
|
try testing.expect((try b.toInt(u32)) == 154);
|
|
}
|
|
|
|
test "addWrap single-single, unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(u17));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 10);
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.addWrap(&a, &b, .unsigned, 17);
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(u17)) == 9);
|
|
}
|
|
|
|
test "subWrap single-single, unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, 0);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, maxInt(u17));
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.subWrap(&a, &b, .unsigned, 17);
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(u17)) == 1);
|
|
}
|
|
|
|
test "addWrap multi-multi, unsigned, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(DoubleLimb));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, maxInt(DoubleLimb));
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.addWrap(&a, &b, .unsigned, @bitSizeOf(DoubleLimb));
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(DoubleLimb)) == maxInt(DoubleLimb) - 1);
|
|
}
|
|
|
|
test "subWrap single-multi, unsigned, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, 10);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, maxInt(DoubleLimb) + 100);
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.subWrap(&a, &b, .unsigned, @bitSizeOf(DoubleLimb));
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(DoubleLimb)) == maxInt(DoubleLimb) - 88);
|
|
}
|
|
|
|
test "addWrap single-single, signed" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(i21));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 1 + 1 + maxInt(u21));
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.addWrap(&a, &b, .signed, @bitSizeOf(i21));
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(i21)) == minInt(i21));
|
|
}
|
|
|
|
test "subWrap single-single, signed" {
|
|
var a = try Managed.initSet(testing.allocator, minInt(i21));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.subWrap(&a, &b, .signed, @bitSizeOf(i21));
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(i21)) == maxInt(i21));
|
|
}
|
|
|
|
test "addWrap multi-multi, signed, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(SignedDoubleLimb));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, maxInt(SignedDoubleLimb));
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.addWrap(&a, &b, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == -2);
|
|
}
|
|
|
|
test "subWrap single-multi, signed, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, minInt(SignedDoubleLimb));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
const wrapped = try a.subWrap(&a, &b, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect(wrapped);
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == maxInt(SignedDoubleLimb));
|
|
}
|
|
|
|
test "addSat single-single, unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(u17) - 5);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 10);
|
|
defer b.deinit();
|
|
|
|
try a.addSat(&a, &b, .unsigned, 17);
|
|
|
|
try testing.expect((try a.toInt(u17)) == maxInt(u17));
|
|
}
|
|
|
|
test "subSat single-single, unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, 123);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 4000);
|
|
defer b.deinit();
|
|
|
|
try a.subSat(&a, &b, .unsigned, 17);
|
|
|
|
try testing.expect((try a.toInt(u17)) == 0);
|
|
}
|
|
|
|
test "addSat multi-multi, unsigned, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(DoubleLimb));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, maxInt(DoubleLimb));
|
|
defer b.deinit();
|
|
|
|
try a.addSat(&a, &b, .unsigned, @bitSizeOf(DoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == maxInt(DoubleLimb));
|
|
}
|
|
|
|
test "subSat single-multi, unsigned, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, 10);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, maxInt(DoubleLimb) + 100);
|
|
defer b.deinit();
|
|
|
|
try a.subSat(&a, &b, .unsigned, @bitSizeOf(DoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == 0);
|
|
}
|
|
|
|
test "addSat single-single, signed" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(i14));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
try a.addSat(&a, &b, .signed, @bitSizeOf(i14));
|
|
|
|
try testing.expect((try a.toInt(i14)) == maxInt(i14));
|
|
}
|
|
|
|
test "subSat single-single, signed" {
|
|
var a = try Managed.initSet(testing.allocator, minInt(i21));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
try a.subSat(&a, &b, .signed, @bitSizeOf(i21));
|
|
|
|
try testing.expect((try a.toInt(i21)) == minInt(i21));
|
|
}
|
|
|
|
test "addSat multi-multi, signed, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(SignedDoubleLimb));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, maxInt(SignedDoubleLimb));
|
|
defer b.deinit();
|
|
|
|
try a.addSat(&a, &b, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == maxInt(SignedDoubleLimb));
|
|
}
|
|
|
|
test "subSat single-multi, signed, limb aligned" {
|
|
var a = try Managed.initSet(testing.allocator, minInt(SignedDoubleLimb));
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
try a.subSat(&a, &b, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == minInt(SignedDoubleLimb));
|
|
}
|
|
|
|
test "sub single-single" {
|
|
var a = try Managed.initSet(testing.allocator, 50);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 5);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.sub(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u32)) == 45);
|
|
}
|
|
|
|
test "sub multi-single" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) + 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.sub(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(Limb)) == maxInt(Limb));
|
|
}
|
|
|
|
test "sub multi-multi" {
|
|
var op1: u128 = 0xefefefefefefefefefefefef;
|
|
var op2: u128 = 0xabababababababababababab;
|
|
_ = .{ &op1, &op2 };
|
|
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.sub(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u128)) == op1 - op2);
|
|
}
|
|
|
|
test "sub equal" {
|
|
var a = try Managed.initSet(testing.allocator, 0x11efefefefefefefefefefefef);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x11efefefefefefefefefefefef);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.sub(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u32)) == 0);
|
|
}
|
|
|
|
test "sub sign" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
var one = try Managed.initSet(testing.allocator, 1);
|
|
defer one.deinit();
|
|
var two = try Managed.initSet(testing.allocator, 2);
|
|
defer two.deinit();
|
|
var neg_one = try Managed.initSet(testing.allocator, -1);
|
|
defer neg_one.deinit();
|
|
var neg_two = try Managed.initSet(testing.allocator, -2);
|
|
defer neg_two.deinit();
|
|
|
|
try a.sub(&one, &two);
|
|
try testing.expect((try a.toInt(i32)) == -1);
|
|
|
|
try a.sub(&neg_one, &two);
|
|
try testing.expect((try a.toInt(i32)) == -3);
|
|
|
|
try a.sub(&one, &neg_two);
|
|
try testing.expect((try a.toInt(i32)) == 3);
|
|
|
|
try a.sub(&neg_one, &neg_two);
|
|
try testing.expect((try a.toInt(i32)) == 1);
|
|
|
|
try a.sub(&neg_two, &neg_one);
|
|
try testing.expect((try a.toInt(i32)) == -1);
|
|
}
|
|
|
|
test "mul single-single" {
|
|
var a = try Managed.initSet(testing.allocator, 50);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 5);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mul(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u64)) == 250);
|
|
}
|
|
|
|
test "mul multi-single" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 2);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mul(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(DoubleLimb)) == 2 * maxInt(Limb));
|
|
}
|
|
|
|
test "mul multi-multi" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var op1: u256 = 0x998888efefefefefefefef;
|
|
var op2: u256 = 0x333000abababababababab;
|
|
_ = .{ &op1, &op2 };
|
|
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mul(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u256)) == op1 * op2);
|
|
}
|
|
|
|
test "mul alias r with a" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 2);
|
|
defer b.deinit();
|
|
|
|
try a.mul(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == 2 * maxInt(Limb));
|
|
}
|
|
|
|
test "mul alias r with b" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 2);
|
|
defer b.deinit();
|
|
|
|
try a.mul(&b, &a);
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == 2 * maxInt(Limb));
|
|
}
|
|
|
|
test "mul alias r with a and b" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer a.deinit();
|
|
|
|
try a.mul(&a, &a);
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == maxInt(Limb) * maxInt(Limb));
|
|
}
|
|
|
|
test "mul a*0" {
|
|
var a = try Managed.initSet(testing.allocator, 0xefefefefefefefef);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mul(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u32)) == 0);
|
|
}
|
|
|
|
test "mul 0*0" {
|
|
var a = try Managed.initSet(testing.allocator, 0);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mul(&a, &b);
|
|
|
|
try testing.expect((try c.toInt(u32)) == 0);
|
|
}
|
|
|
|
test "mul large" {
|
|
var a = try Managed.initCapacity(testing.allocator, 50);
|
|
defer a.deinit();
|
|
var b = try Managed.initCapacity(testing.allocator, 100);
|
|
defer b.deinit();
|
|
var c = try Managed.initCapacity(testing.allocator, 100);
|
|
defer c.deinit();
|
|
|
|
// Generate a number that's large enough to cross the thresholds for the use
|
|
// of subquadratic algorithms
|
|
for (a.limbs) |*p| {
|
|
p.* = std.math.maxInt(Limb);
|
|
}
|
|
a.setMetadata(true, 50);
|
|
|
|
try b.mul(&a, &a);
|
|
try c.sqr(&a);
|
|
|
|
try testing.expect(b.eql(c));
|
|
}
|
|
|
|
test "mulWrap single-single unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, 1234);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 5678);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mulWrap(&a, &b, .unsigned, 17);
|
|
|
|
try testing.expect((try c.toInt(u17)) == 59836);
|
|
}
|
|
|
|
test "mulWrap single-single signed" {
|
|
var a = try Managed.initSet(testing.allocator, 1234);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -5678);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mulWrap(&a, &b, .signed, 17);
|
|
|
|
try testing.expect((try c.toInt(i17)) == -59836);
|
|
}
|
|
|
|
test "mulWrap multi-multi unsigned" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var op1: u256 = 0x998888efefefefefefefef;
|
|
var op2: u256 = 0x333000abababababababab;
|
|
_ = .{ &op1, &op2 };
|
|
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mulWrap(&a, &b, .unsigned, 65);
|
|
|
|
try testing.expect((try c.toInt(u256)) == (op1 * op2) & ((1 << 65) - 1));
|
|
}
|
|
|
|
test "mulWrap multi-multi signed" {
|
|
switch (builtin.zig_backend) {
|
|
.stage2_c => return error.SkipZigTest,
|
|
else => {},
|
|
}
|
|
|
|
var a = try Managed.initSet(testing.allocator, maxInt(SignedDoubleLimb) - 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, maxInt(SignedDoubleLimb));
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.init(testing.allocator);
|
|
defer c.deinit();
|
|
try c.mulWrap(&a, &b, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect((try c.toInt(SignedDoubleLimb)) == minInt(SignedDoubleLimb) + 2);
|
|
}
|
|
|
|
test "mulWrap large" {
|
|
var a = try Managed.initCapacity(testing.allocator, 50);
|
|
defer a.deinit();
|
|
var b = try Managed.initCapacity(testing.allocator, 100);
|
|
defer b.deinit();
|
|
var c = try Managed.initCapacity(testing.allocator, 100);
|
|
defer c.deinit();
|
|
|
|
// Generate a number that's large enough to cross the thresholds for the use
|
|
// of subquadratic algorithms
|
|
for (a.limbs) |*p| {
|
|
p.* = std.math.maxInt(Limb);
|
|
}
|
|
a.setMetadata(true, 50);
|
|
|
|
const testbits = @bitSizeOf(Limb) * 64 + 45;
|
|
|
|
try b.mulWrap(&a, &a, .signed, testbits);
|
|
try c.sqr(&a);
|
|
try c.truncate(&c, .signed, testbits);
|
|
|
|
try testing.expect(b.eql(c));
|
|
}
|
|
|
|
test "div single-half no rem" {
|
|
var a = try Managed.initSet(testing.allocator, 50);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 5);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u32)) == 10);
|
|
try testing.expect((try r.toInt(u32)) == 0);
|
|
}
|
|
|
|
test "div single-half with rem" {
|
|
var a = try Managed.initSet(testing.allocator, 49);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 5);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u32)) == 9);
|
|
try testing.expect((try r.toInt(u32)) == 4);
|
|
}
|
|
|
|
test "div single-single no rem" {
|
|
// assumes usize is <= 64 bits.
|
|
var a = try Managed.initSet(testing.allocator, 1 << 52);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 1 << 35);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u32)) == 131072);
|
|
try testing.expect((try r.toInt(u32)) == 0);
|
|
}
|
|
|
|
test "div single-single with rem" {
|
|
var a = try Managed.initSet(testing.allocator, (1 << 52) | (1 << 33));
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, (1 << 35));
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u64)) == 131072);
|
|
try testing.expect((try r.toInt(u64)) == 8589934592);
|
|
}
|
|
|
|
test "div multi-single no rem" {
|
|
var op1: u128 = 0xffffeeeeddddcccc;
|
|
var op2: u128 = 34;
|
|
_ = .{ &op1, &op2 };
|
|
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u64)) == op1 / op2);
|
|
try testing.expect((try r.toInt(u64)) == 0);
|
|
}
|
|
|
|
test "div multi-single with rem" {
|
|
var op1: u128 = 0xffffeeeeddddcccf;
|
|
var op2: u128 = 34;
|
|
_ = .{ &op1, &op2 };
|
|
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u64)) == op1 / op2);
|
|
try testing.expect((try r.toInt(u64)) == 3);
|
|
}
|
|
|
|
test "div multi>2-single" {
|
|
var op1: u128 = 0xfefefefefefefefefefefefefefefefe;
|
|
var op2: u128 = 0xefab8;
|
|
_ = .{ &op1, &op2 };
|
|
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == op1 / op2);
|
|
try testing.expect((try r.toInt(u32)) == 0x3e4e);
|
|
}
|
|
|
|
test "div single-single q < r" {
|
|
var a = try Managed.initSet(testing.allocator, 0x0078f432);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x01000000);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u64)) == 0);
|
|
try testing.expect((try r.toInt(u64)) == 0x0078f432);
|
|
}
|
|
|
|
test "div single-single q == r" {
|
|
var a = try Managed.initSet(testing.allocator, 10);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 10);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u64)) == 1);
|
|
try testing.expect((try r.toInt(u64)) == 0);
|
|
}
|
|
|
|
test "div q=0 alias" {
|
|
var a = try Managed.initSet(testing.allocator, 3);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 10);
|
|
defer b.deinit();
|
|
|
|
try Managed.divTrunc(&a, &b, &a, &b);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0);
|
|
try testing.expect((try b.toInt(u64)) == 3);
|
|
}
|
|
|
|
test "div multi-multi q < r" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
const op1 = 0x1ffffffff0078f432;
|
|
const op2 = 0x1ffffffff01000000;
|
|
var a = try Managed.initSet(testing.allocator, op1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, op2);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == 0);
|
|
try testing.expect((try r.toInt(u128)) == op1);
|
|
}
|
|
|
|
test "div trunc single-single +/+" {
|
|
const u: i32 = 5;
|
|
const v: i32 = 3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// 5 = 1 * 3 + 2
|
|
const eq = @divTrunc(u, v);
|
|
const er = @mod(u, v);
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "div trunc single-single -/+" {
|
|
const u: i32 = -5;
|
|
const v: i32 = 3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// -5 = 1 * -3 - 2
|
|
const eq = -1;
|
|
const er = -2;
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "div trunc single-single +/-" {
|
|
const u: i32 = 5;
|
|
const v: i32 = -3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// 5 = -1 * -3 + 2
|
|
const eq = -1;
|
|
const er = 2;
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "div trunc single-single -/-" {
|
|
const u: i32 = -5;
|
|
const v: i32 = -3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// -5 = 1 * -3 - 2
|
|
const eq = 1;
|
|
const er = -2;
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "divTrunc #15535" {
|
|
var one = try Managed.initSet(testing.allocator, 1);
|
|
defer one.deinit();
|
|
var x = try Managed.initSet(testing.allocator, std.math.pow(u128, 2, 64));
|
|
defer x.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
try q.divTrunc(&r, &x, &x);
|
|
try testing.expect(r.order(one) == std.math.Order.lt);
|
|
}
|
|
|
|
test "divFloor #10932" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
var res = try Managed.init(testing.allocator);
|
|
defer res.deinit();
|
|
|
|
try a.setString(10, "40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
try b.setString(10, "8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
|
|
var mod = try Managed.init(testing.allocator);
|
|
defer mod.deinit();
|
|
|
|
try res.divFloor(&mod, &a, &b);
|
|
|
|
const ress = try res.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(ress);
|
|
try testing.expect(std.mem.eql(u8, ress, "194bd136316c046d070b763396297bf8869a605030216b52597015902a172b2a752f62af1568dcd431602f03725bfa62b0be71ae86616210972c0126e173503011ca48c5747ff066d159c95e46b69cbb14c8fc0bd2bf0919f921be96463200000000000000000000000000000000000000000000000000000000000000000000000000000000"));
|
|
try testing.expect((try mod.toInt(i32)) == 0);
|
|
}
|
|
|
|
test "divFloor #11166" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
var res = try Managed.init(testing.allocator);
|
|
defer res.deinit();
|
|
|
|
try a.setString(10, "10000007000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000870000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
try b.setString(10, "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
|
|
var mod = try Managed.init(testing.allocator);
|
|
defer mod.deinit();
|
|
|
|
try res.divFloor(&mod, &a, &b);
|
|
|
|
const ress = try res.toString(testing.allocator, 10, .lower);
|
|
defer testing.allocator.free(ress);
|
|
try testing.expect(std.mem.eql(u8, ress, "1000000700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"));
|
|
|
|
const mods = try mod.toString(testing.allocator, 10, .lower);
|
|
defer testing.allocator.free(mods);
|
|
try testing.expect(std.mem.eql(u8, mods, "870000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"));
|
|
}
|
|
|
|
test "gcd #10932" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
var res = try Managed.init(testing.allocator);
|
|
defer res.deinit();
|
|
|
|
try a.setString(10, "3000000000000000000000000000000000000000000000000000000000000000000000001461501637330902918203684832716283019655932542975000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
try b.setString(10, "10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000200001001500000000000000000100000000040000000000000000000000000000000000000000000000000000000000000000000001000000000000000000000000000003000000000000000000000000000000000000000000000000000058715661000000000000000000000000000000000000023553252000000000180000000000000000000000000000000000000000000000000250000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001005000002000000000000000000000000000000000000000021000000001000000000000000000000000100000000000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006000000000000000000000000000000000000000000000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000600000000000000000000000000000000000000000200000000000000000000004000000000000000000000000000000000000000000000301000000000000000000000000000500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
|
|
try res.gcd(&a, &b);
|
|
|
|
const ress = try res.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(ress);
|
|
try testing.expect(std.mem.eql(u8, ress, "1a974a5c9734476ff5a3604bcc678a756beacfc21b4427d1f2c1f56f5d4e411a162c56136e20000000000000000000000000000000"));
|
|
}
|
|
|
|
test "bitAnd #10932" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
var res = try Managed.init(testing.allocator);
|
|
defer res.deinit();
|
|
|
|
try a.setString(10, "154954885951624787839743960731760616696");
|
|
try b.setString(10, "55000000000915215865915724129619485917228346934191537590366734850266784978214506142389798064826139649163838075568111457203909393174933092857416500785632012953993352521899237655507306575657169267399324107627651067352600878339870446048204062696260567762088867991835386857942106708741836433444432529637331429212430394179472179237695833247299409249810963487516399177133175950185719220422442438098353430605822151595560743492661038899294517012784306863064670126197566982968906306814338148792888550378533207318063660581924736840687332023636827401670268933229183389040490792300121030647791095178823932734160000000000000000000000000000000000000555555550000000000000000000000000000000000000000000000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
|
|
try res.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try res.toInt(i32)) == 0);
|
|
}
|
|
|
|
test "bit And #19235" {
|
|
var a = try Managed.initSet(testing.allocator, -0xffffffffffffffff);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x10000000000000000);
|
|
defer b.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
|
|
try r.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try r.toInt(i128)) == 0x10000000000000000);
|
|
}
|
|
|
|
test "div floor single-single +/+" {
|
|
const u: i32 = 5;
|
|
const v: i32 = 3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divFloor(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// 5 = 1 * 3 + 2
|
|
const eq = 1;
|
|
const er = 2;
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "div floor single-single -/+" {
|
|
const u: i32 = -5;
|
|
const v: i32 = 3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divFloor(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// -5 = -2 * 3 + 1
|
|
const eq = -2;
|
|
const er = 1;
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "div floor single-single +/-" {
|
|
const u: i32 = 5;
|
|
const v: i32 = -3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divFloor(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// 5 = -2 * -3 - 1
|
|
const eq = -2;
|
|
const er = -1;
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "div floor single-single -/-" {
|
|
const u: i32 = -5;
|
|
const v: i32 = -3;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divFloor(&q, &r, &a, &b);
|
|
|
|
// n = q * d + r
|
|
// -5 = 2 * -3 + 1
|
|
const eq = 1;
|
|
const er = -2;
|
|
|
|
try testing.expect((try q.toInt(i32)) == eq);
|
|
try testing.expect((try r.toInt(i32)) == er);
|
|
}
|
|
|
|
test "div floor no remainder negative quotient" {
|
|
const u: i32 = -0x80000000;
|
|
const v: i32 = 1;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divFloor(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(i32)) == -0x80000000);
|
|
try testing.expect((try r.toInt(i32)) == 0);
|
|
}
|
|
|
|
test "div floor negative close to zero" {
|
|
const u: i32 = -2;
|
|
const v: i32 = 12;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divFloor(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(i32)) == -1);
|
|
try testing.expect((try r.toInt(i32)) == 10);
|
|
}
|
|
|
|
test "div floor positive close to zero" {
|
|
const u: i32 = 10;
|
|
const v: i32 = 12;
|
|
|
|
var a = try Managed.initSet(testing.allocator, u);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, v);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divFloor(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(i32)) == 0);
|
|
try testing.expect((try r.toInt(i32)) == 10);
|
|
}
|
|
|
|
test "div multi-multi with rem" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x8888999911110000ffffeeeeddddccccbbbbaaaa9999);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x99990000111122223333);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == 0xe38f38e39161aaabd03f0f1b);
|
|
try testing.expect((try r.toInt(u128)) == 0x28de0acacd806823638);
|
|
}
|
|
|
|
test "div multi-multi no rem" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x8888999911110000ffffeeeedb4fec200ee3a4286361);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x99990000111122223333);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == 0xe38f38e39161aaabd03f0f1b);
|
|
try testing.expect((try r.toInt(u128)) == 0);
|
|
}
|
|
|
|
test "div multi-multi (2 branch)" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x866666665555555588888887777777761111111111111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x86666666555555554444444433333333);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == 0x10000000000000000);
|
|
try testing.expect((try r.toInt(u128)) == 0x44444443444444431111111111111111);
|
|
}
|
|
|
|
test "div multi-multi (3.1/3.3 branch)" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x11111111111111111111111111111111111111111111111111111111111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x1111111111111111111111111111111111111111171);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == 0xfffffffffffffffffff);
|
|
try testing.expect((try r.toInt(u256)) == 0x1111111111111111111110b12222222222222222282);
|
|
}
|
|
|
|
test "div multi-single zero-limb trailing" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x60000000000000000000000000000000000000000000000000000000000000000);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x10000000000000000);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
var expected = try Managed.initSet(testing.allocator, 0x6000000000000000000000000000000000000000000000000);
|
|
defer expected.deinit();
|
|
try testing.expect(q.eql(expected));
|
|
try testing.expect(r.eqlZero());
|
|
}
|
|
|
|
test "div multi-multi zero-limb trailing (with rem)" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x86666666555555558888888777777776111111111111111100000000000000000000000000000000);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x8666666655555555444444443333333300000000000000000000000000000000);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == 0x10000000000000000);
|
|
|
|
const rs = try r.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(rs);
|
|
try testing.expect(std.mem.eql(u8, rs, "4444444344444443111111111111111100000000000000000000000000000000"));
|
|
}
|
|
|
|
test "div multi-multi zero-limb trailing (with rem) and dividend zero-limb count > divisor zero-limb count" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x8666666655555555888888877777777611111111111111110000000000000000);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x8666666655555555444444443333333300000000000000000000000000000000);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
try testing.expect((try q.toInt(u128)) == 0x1);
|
|
|
|
const rs = try r.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(rs);
|
|
try testing.expect(std.mem.eql(u8, rs, "444444434444444311111111111111110000000000000000"));
|
|
}
|
|
|
|
test "div multi-multi zero-limb trailing (with rem) and dividend zero-limb count < divisor zero-limb count" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x86666666555555558888888777777776111111111111111100000000000000000000000000000000);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x866666665555555544444444333333330000000000000000);
|
|
defer b.deinit();
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
const qs = try q.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(qs);
|
|
try testing.expect(std.mem.eql(u8, qs, "10000000000000000820820803105186f"));
|
|
|
|
const rs = try r.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(rs);
|
|
try testing.expect(std.mem.eql(u8, rs, "4e11f2baa5896a321d463b543d0104e30000000000000000"));
|
|
}
|
|
|
|
test "div multi-multi fuzz case #1" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
try a.setString(16, "ffffffffffffffffffffffffffffc00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000");
|
|
try b.setString(16, "3ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe0000000000000000000000000000000000001ffffffffffffffffffffffffffffffffffffffffffffffffffc000000000000000000000000000000007fffffffffff");
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
const qs = try q.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(qs);
|
|
try testing.expect(std.mem.eql(u8, qs, "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"));
|
|
|
|
const rs = try r.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(rs);
|
|
try testing.expect(std.mem.eql(u8, rs, "310d1d4c414426b4836c2635bad1df3a424e50cbdd167ffccb4dfff57d36b4aae0d6ca0910698220171a0f3373c1060a046c2812f0027e321f72979daa5e7973214170d49e885de0c0ecc167837d44502430674a82522e5df6a0759548052420b91ec1"));
|
|
}
|
|
|
|
test "div multi-multi fuzz case #2" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
try a.setString(16, "3ffffffffe00000000000000000000000000fffffffffffffffffffffffffffffffffffffffffffffffffffffffffe000000000000000000000000000000000000000000000000000000000000001fffffffffffffffff800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffc000000000000000000000000000000000000000000000000000000000000000");
|
|
try b.setString(16, "ffc0000000000000000000000000000000000000000000000000");
|
|
|
|
var q = try Managed.init(testing.allocator);
|
|
defer q.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
try Managed.divTrunc(&q, &r, &a, &b);
|
|
|
|
const qs = try q.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(qs);
|
|
try testing.expect(std.mem.eql(u8, qs, "40100400fe3f8fe3f8fe3f8fe3f8fe3f8fe4f93e4f93e4f93e4f93e4f93e4f93e4f93e4f93e4f93e4f93e4f93e4f91e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4992649926499264991e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4791e4792e4b92e4b92e4b92e4b92a4a92a4a92a4"));
|
|
|
|
const rs = try r.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(rs);
|
|
try testing.expect(std.mem.eql(u8, rs, "a900000000000000000000000000000000000000000000000000"));
|
|
}
|
|
|
|
test "truncate single unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(u47));
|
|
defer a.deinit();
|
|
|
|
try a.truncate(&a, .unsigned, 17);
|
|
|
|
try testing.expect((try a.toInt(u17)) == maxInt(u17));
|
|
}
|
|
|
|
test "truncate single signed" {
|
|
var a = try Managed.initSet(testing.allocator, 0x1_0000);
|
|
defer a.deinit();
|
|
|
|
try a.truncate(&a, .signed, 17);
|
|
|
|
try testing.expect((try a.toInt(i17)) == minInt(i17));
|
|
}
|
|
|
|
test "truncate multi to single unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, (maxInt(Limb) + 1) | 0x1234_5678_9ABC_DEF0);
|
|
defer a.deinit();
|
|
|
|
try a.truncate(&a, .unsigned, 27);
|
|
|
|
try testing.expect((try a.toInt(u27)) == 0x2BC_DEF0);
|
|
}
|
|
|
|
test "truncate multi to single signed" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) << 10);
|
|
defer a.deinit();
|
|
|
|
try a.truncate(&a, .signed, @bitSizeOf(i11));
|
|
|
|
try testing.expect((try a.toInt(i11)) == minInt(i11));
|
|
}
|
|
|
|
test "truncate multi to multi unsigned" {
|
|
const bits = @typeInfo(SignedDoubleLimb).int.bits;
|
|
const Int = std.meta.Int(.unsigned, bits - 1);
|
|
|
|
var a = try Managed.initSet(testing.allocator, maxInt(SignedDoubleLimb));
|
|
defer a.deinit();
|
|
|
|
try a.truncate(&a, .unsigned, bits - 1);
|
|
|
|
try testing.expect((try a.toInt(Int)) == maxInt(Int));
|
|
}
|
|
|
|
test "truncate multi to multi signed" {
|
|
var a = try Managed.initSet(testing.allocator, 3 << @bitSizeOf(Limb));
|
|
defer a.deinit();
|
|
|
|
try a.truncate(&a, .signed, @bitSizeOf(Limb) + 1);
|
|
|
|
try testing.expect((try a.toInt(std.meta.Int(.signed, @bitSizeOf(Limb) + 1))) == -1 << @bitSizeOf(Limb));
|
|
}
|
|
|
|
test "truncate negative multi to single" {
|
|
var a = try Managed.initSet(testing.allocator, -@as(SignedDoubleLimb, maxInt(Limb) + 1));
|
|
defer a.deinit();
|
|
|
|
try a.truncate(&a, .signed, @bitSizeOf(i17));
|
|
|
|
try testing.expect((try a.toInt(i17)) == 0);
|
|
}
|
|
|
|
test "truncate multi unsigned many" {
|
|
var a = try Managed.initSet(testing.allocator, 1);
|
|
defer a.deinit();
|
|
try a.shiftLeft(&a, 1023);
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
try b.truncate(&a, .signed, @bitSizeOf(i1));
|
|
|
|
try testing.expect((try b.toInt(i1)) == 0);
|
|
}
|
|
|
|
test "truncate to mutable with fewer limbs" {
|
|
var res_limbs: [1]Limb = undefined;
|
|
var res: Mutable = .{
|
|
.limbs = &res_limbs,
|
|
.len = undefined,
|
|
.positive = undefined,
|
|
};
|
|
res.truncate(.{ .positive = true, .limbs = &.{ 0, 1 } }, .unsigned, @bitSizeOf(Limb));
|
|
try testing.expect(res.eqlZero());
|
|
res.truncate(.{ .positive = true, .limbs = &.{ 0, 1 } }, .signed, @bitSizeOf(Limb));
|
|
try testing.expect(res.eqlZero());
|
|
res.truncate(.{ .positive = false, .limbs = &.{ 0, 1 } }, .unsigned, @bitSizeOf(Limb));
|
|
try testing.expect(res.eqlZero());
|
|
res.truncate(.{ .positive = false, .limbs = &.{ 0, 1 } }, .signed, @bitSizeOf(Limb));
|
|
try testing.expect(res.eqlZero());
|
|
res.truncate(.{ .positive = true, .limbs = &.{ std.math.maxInt(Limb), 1 } }, .unsigned, @bitSizeOf(Limb));
|
|
try testing.expect(res.toConst().orderAgainstScalar(std.math.maxInt(Limb)).compare(.eq));
|
|
res.truncate(.{ .positive = true, .limbs = &.{ std.math.maxInt(Limb), 1 } }, .signed, @bitSizeOf(Limb));
|
|
try testing.expect(res.toConst().orderAgainstScalar(-1).compare(.eq));
|
|
res.truncate(.{ .positive = false, .limbs = &.{ std.math.maxInt(Limb), 1 } }, .unsigned, @bitSizeOf(Limb));
|
|
try testing.expect(res.toConst().orderAgainstScalar(1).compare(.eq));
|
|
res.truncate(.{ .positive = false, .limbs = &.{ std.math.maxInt(Limb), 1 } }, .signed, @bitSizeOf(Limb));
|
|
try testing.expect(res.toConst().orderAgainstScalar(1).compare(.eq));
|
|
}
|
|
|
|
test "saturate single signed positive" {
|
|
var a = try Managed.initSet(testing.allocator, 0xBBBB_BBBB);
|
|
defer a.deinit();
|
|
|
|
try a.saturate(&a, .signed, 17);
|
|
|
|
try testing.expect((try a.toInt(i17)) == maxInt(i17));
|
|
}
|
|
|
|
test "saturate single signed negative" {
|
|
var a = try Managed.initSet(testing.allocator, -1_234_567);
|
|
defer a.deinit();
|
|
|
|
try a.saturate(&a, .signed, 17);
|
|
|
|
try testing.expect((try a.toInt(i17)) == minInt(i17));
|
|
}
|
|
|
|
test "saturate single signed" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(i17) - 1);
|
|
defer a.deinit();
|
|
|
|
try a.saturate(&a, .signed, 17);
|
|
|
|
try testing.expect((try a.toInt(i17)) == maxInt(i17) - 1);
|
|
}
|
|
|
|
test "saturate multi signed" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) << @bitSizeOf(SignedDoubleLimb));
|
|
defer a.deinit();
|
|
|
|
try a.saturate(&a, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == maxInt(SignedDoubleLimb));
|
|
}
|
|
|
|
test "saturate single unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, 0xFEFE_FEFE);
|
|
defer a.deinit();
|
|
|
|
try a.saturate(&a, .unsigned, 23);
|
|
|
|
try testing.expect((try a.toInt(u23)) == maxInt(u23));
|
|
}
|
|
|
|
test "saturate multi unsigned zero" {
|
|
var a = try Managed.initSet(testing.allocator, -1);
|
|
defer a.deinit();
|
|
|
|
try a.saturate(&a, .unsigned, @bitSizeOf(DoubleLimb));
|
|
|
|
try testing.expect(a.eqlZero());
|
|
}
|
|
|
|
test "saturate multi unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) << @bitSizeOf(DoubleLimb));
|
|
defer a.deinit();
|
|
|
|
try a.saturate(&a, .unsigned, @bitSizeOf(DoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == maxInt(DoubleLimb));
|
|
}
|
|
|
|
test "shift-right single" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffff0000);
|
|
defer a.deinit();
|
|
try a.shiftRight(&a, 16);
|
|
|
|
try testing.expect((try a.toInt(u32)) == 0xffff);
|
|
}
|
|
|
|
test "shift-right multi" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffff0000eeee1111dddd2222cccc3333);
|
|
defer a.deinit();
|
|
try a.shiftRight(&a, 67);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0x1fffe0001dddc222);
|
|
|
|
try a.set(0xffff0000eeee1111dddd2222cccc3333);
|
|
try a.shiftRight(&a, 63);
|
|
try a.shiftRight(&a, 63);
|
|
try a.shiftRight(&a, 2);
|
|
try testing.expect(a.eqlZero());
|
|
|
|
try a.set(0xffff0000eeee1111dddd2222cccc3333000000000000000000000);
|
|
try a.shiftRight(&a, 84);
|
|
const string = try a.toString(
|
|
testing.allocator,
|
|
16,
|
|
.lower,
|
|
);
|
|
defer testing.allocator.free(string);
|
|
try std.testing.expectEqualStrings(
|
|
string,
|
|
"ffff0000eeee1111dddd2222cccc3333",
|
|
);
|
|
}
|
|
|
|
test "shift-left single" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffff);
|
|
defer a.deinit();
|
|
try a.shiftLeft(&a, 16);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0xffff0000);
|
|
}
|
|
|
|
test "shift-left multi" {
|
|
var a = try Managed.initSet(testing.allocator, 0x1fffe0001dddc222);
|
|
defer a.deinit();
|
|
try a.shiftLeft(&a, 67);
|
|
|
|
try testing.expect((try a.toInt(u128)) == 0xffff0000eeee11100000000000000000);
|
|
}
|
|
|
|
test "shift-right negative" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
var arg = try Managed.initSet(testing.allocator, -20);
|
|
defer arg.deinit();
|
|
try a.shiftRight(&arg, 2);
|
|
try testing.expect((try a.toInt(i32)) == -5); // -20 >> 2 == -5
|
|
|
|
var arg2 = try Managed.initSet(testing.allocator, -5);
|
|
defer arg2.deinit();
|
|
try a.shiftRight(&arg2, 10);
|
|
try testing.expect((try a.toInt(i32)) == -1); // -5 >> 10 == -1
|
|
|
|
var arg3 = try Managed.initSet(testing.allocator, -10);
|
|
defer arg3.deinit();
|
|
try a.shiftRight(&arg3, 1232);
|
|
try testing.expect((try a.toInt(i32)) == -1); // -10 >> 1232 == -1
|
|
|
|
var arg4 = try Managed.initSet(testing.allocator, -5);
|
|
defer arg4.deinit();
|
|
try a.shiftRight(&arg4, 2);
|
|
try testing.expect(try a.toInt(i32) == -2); // -5 >> 2 == -2
|
|
|
|
var arg5 = try Managed.initSet(testing.allocator, -0xffff0000eeee1111dddd2222cccc3333);
|
|
defer arg5.deinit();
|
|
try a.shiftRight(&arg5, 67);
|
|
try testing.expect(try a.toInt(i64) == -0x1fffe0001dddc223);
|
|
|
|
var arg6 = try Managed.initSet(testing.allocator, -0x1ffffffffffffffff);
|
|
defer arg6.deinit();
|
|
try a.shiftRight(&arg6, 1);
|
|
try a.shiftRight(&a, 1);
|
|
a.setSign(true);
|
|
try testing.expect(try a.toInt(u64) == 0x8000000000000000);
|
|
|
|
var arg7 = try Managed.initSet(testing.allocator, -32767);
|
|
defer arg7.deinit();
|
|
a.setSign(false);
|
|
try a.shiftRight(&arg7, 4);
|
|
try testing.expect(try a.toInt(i16) == -2048);
|
|
a.setSign(true);
|
|
try a.shiftRight(&arg7, 4);
|
|
try testing.expect(try a.toInt(i16) == -2048);
|
|
}
|
|
|
|
test "sat shift-left simple unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffff);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, 16, .unsigned, 21);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0x1fffff);
|
|
}
|
|
|
|
test "sat shift-left simple unsigned no sat" {
|
|
var a = try Managed.initSet(testing.allocator, 1);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, 16, .unsigned, 21);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0x10000);
|
|
}
|
|
|
|
test "sat shift-left multi unsigned" {
|
|
var a = try Managed.initSet(testing.allocator, 16);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, @bitSizeOf(DoubleLimb) - 3, .unsigned, @bitSizeOf(DoubleLimb) - 1);
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == maxInt(DoubleLimb) >> 1);
|
|
}
|
|
|
|
test "sat shift-left unsigned shift > bitcount" {
|
|
var a = try Managed.initSet(testing.allocator, 1);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, 10, .unsigned, 10);
|
|
|
|
try testing.expect((try a.toInt(u10)) == maxInt(u10));
|
|
}
|
|
|
|
test "sat shift-left unsigned zero" {
|
|
var a = try Managed.initSet(testing.allocator, 0);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, 1, .unsigned, 0);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0);
|
|
}
|
|
|
|
test "sat shift-left unsigned negative" {
|
|
var a = try Managed.initSet(testing.allocator, -100);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, 0, .unsigned, 0);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0);
|
|
}
|
|
|
|
test "sat shift-left signed simple negative" {
|
|
var a = try Managed.initSet(testing.allocator, -100);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, 3, .signed, 10);
|
|
|
|
try testing.expect((try a.toInt(i10)) == minInt(i10));
|
|
}
|
|
|
|
test "sat shift-left signed simple positive" {
|
|
var a = try Managed.initSet(testing.allocator, 100);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, 3, .signed, 10);
|
|
|
|
try testing.expect((try a.toInt(i10)) == maxInt(i10));
|
|
}
|
|
|
|
test "sat shift-left signed multi positive" {
|
|
if (builtin.zig_backend == .stage2_x86_64) return error.SkipZigTest;
|
|
|
|
var x: SignedDoubleLimb = 1;
|
|
_ = &x;
|
|
|
|
const shift = @bitSizeOf(SignedDoubleLimb) - 1;
|
|
|
|
var a = try Managed.initSet(testing.allocator, x);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, shift, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == x <<| shift);
|
|
}
|
|
|
|
test "sat shift-left signed multi negative" {
|
|
if (builtin.zig_backend == .stage2_x86_64) return error.SkipZigTest;
|
|
|
|
var x: SignedDoubleLimb = -1;
|
|
_ = &x;
|
|
|
|
const shift = @bitSizeOf(SignedDoubleLimb) - 1;
|
|
|
|
var a = try Managed.initSet(testing.allocator, x);
|
|
defer a.deinit();
|
|
try a.shiftLeftSat(&a, shift, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == x <<| shift);
|
|
}
|
|
|
|
test "bitNotWrap unsigned simple" {
|
|
var x: u10 = 123;
|
|
_ = &x;
|
|
|
|
var a = try Managed.initSet(testing.allocator, x);
|
|
defer a.deinit();
|
|
|
|
try a.bitNotWrap(&a, .unsigned, 10);
|
|
|
|
try testing.expect((try a.toInt(u10)) == ~x);
|
|
}
|
|
|
|
test "bitNotWrap unsigned multi" {
|
|
var a = try Managed.initSet(testing.allocator, 0);
|
|
defer a.deinit();
|
|
|
|
try a.bitNotWrap(&a, .unsigned, @bitSizeOf(DoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == maxInt(DoubleLimb));
|
|
}
|
|
|
|
test "bitNotWrap signed simple" {
|
|
var x: i11 = -456;
|
|
_ = &x;
|
|
|
|
var a = try Managed.initSet(testing.allocator, -456);
|
|
defer a.deinit();
|
|
|
|
try a.bitNotWrap(&a, .signed, 11);
|
|
|
|
try testing.expect((try a.toInt(i11)) == ~x);
|
|
}
|
|
|
|
test "bitNotWrap signed multi" {
|
|
var a = try Managed.initSet(testing.allocator, 0);
|
|
defer a.deinit();
|
|
|
|
try a.bitNotWrap(&a, .signed, @bitSizeOf(SignedDoubleLimb));
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == -1);
|
|
}
|
|
|
|
test "bitNotWrap more than two limbs" {
|
|
// This test requires int sizes greater than 128 bits.
|
|
if (builtin.zig_backend == .stage2_wasm) return error.SkipZigTest; // TODO
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest; // TODO
|
|
if (builtin.zig_backend == .stage2_aarch64) return error.SkipZigTest; // TODO
|
|
if (builtin.zig_backend == .stage2_arm) return error.SkipZigTest; // TODO
|
|
// LLVM: unexpected runtime library name: __umodei4
|
|
if (builtin.zig_backend == .stage2_llvm and comptime builtin.target.isWasm()) return error.SkipZigTest; // TODO
|
|
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer a.deinit();
|
|
|
|
var res = try Managed.init(testing.allocator);
|
|
defer res.deinit();
|
|
|
|
const bits = @bitSizeOf(Limb) * 4 + 2;
|
|
|
|
try res.bitNotWrap(&a, .unsigned, bits);
|
|
const Unsigned = @Type(.{ .int = .{ .signedness = .unsigned, .bits = bits } });
|
|
try testing.expectEqual((try res.toInt(Unsigned)), ~@as(Unsigned, maxInt(Limb)));
|
|
|
|
try res.bitNotWrap(&a, .signed, bits);
|
|
const Signed = @Type(.{ .int = .{ .signedness = .signed, .bits = bits } });
|
|
try testing.expectEqual((try res.toInt(Signed)), ~@as(Signed, maxInt(Limb)));
|
|
}
|
|
|
|
test "bitwise and simple" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0xeeeeeeee00000000);
|
|
}
|
|
|
|
test "bitwise and multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) + 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u128)) == 0);
|
|
}
|
|
|
|
test "bitwise and negative-positive simple" {
|
|
var a = try Managed.initSet(testing.allocator, -0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0x22222222);
|
|
}
|
|
|
|
test "bitwise and negative-positive multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, -maxInt(Limb) - 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect(a.eqlZero());
|
|
}
|
|
|
|
test "bitwise and positive-negative simple" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0x1111111111111110);
|
|
}
|
|
|
|
test "bitwise and positive-negative multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -maxInt(Limb) - 1);
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect(a.eqlZero());
|
|
}
|
|
|
|
test "bitwise and negative-negative simple" {
|
|
var a = try Managed.initSet(testing.allocator, -0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(i128)) == -0xffffffff33333332);
|
|
}
|
|
|
|
test "bitwise and negative-negative multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, -maxInt(Limb) - 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -maxInt(Limb) - 2);
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(i128)) == -maxInt(Limb) * 2 - 2);
|
|
}
|
|
|
|
test "bitwise and negative overflow" {
|
|
var a = try Managed.initSet(testing.allocator, -maxInt(Limb));
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -2);
|
|
defer b.deinit();
|
|
|
|
try a.bitAnd(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == -maxInt(Limb) - 1);
|
|
}
|
|
|
|
test "bitwise xor simple" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitXor(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0x1111111133333333);
|
|
}
|
|
|
|
test "bitwise xor multi-limb" {
|
|
var x: DoubleLimb = maxInt(Limb) + 1;
|
|
var y: DoubleLimb = maxInt(Limb);
|
|
_ = .{ &x, &y };
|
|
|
|
var a = try Managed.initSet(testing.allocator, x);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, y);
|
|
defer b.deinit();
|
|
|
|
try a.bitXor(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == x ^ y);
|
|
}
|
|
|
|
test "bitwise xor single negative simple" {
|
|
var a = try Managed.initSet(testing.allocator, 0x6b03e381328a3154);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -0x45fd3acef9191fad);
|
|
defer b.deinit();
|
|
|
|
try a.bitXor(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(i64)) == -0x2efed94fcb932ef9);
|
|
}
|
|
|
|
test "bitwise xor single negative multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, -0x9849c6e7a10d66d0e4260d4846254c32);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0xf2194e7d1c855272a997fcde16f6d5a8);
|
|
defer b.deinit();
|
|
|
|
try a.bitXor(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(i128)) == -0x6a50889abd8834a24db1f19650d3999a);
|
|
}
|
|
|
|
test "bitwise xor single negative overflow" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -1);
|
|
defer b.deinit();
|
|
|
|
try a.bitXor(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == -(maxInt(Limb) + 1));
|
|
}
|
|
|
|
test "bitwise xor double negative simple" {
|
|
var a = try Managed.initSet(testing.allocator, -0x8e48bd5f755ef1f3);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -0x4dd4fa576f3046ac);
|
|
defer b.deinit();
|
|
|
|
try a.bitXor(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0xc39c47081a6eb759);
|
|
}
|
|
|
|
test "bitwise xor double negative multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, -0x684e5da8f500ec8ca7204c33ccc51c9c);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -0xcb07736a7b62289c78d967c3985eebeb);
|
|
defer b.deinit();
|
|
|
|
try a.bitXor(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u128)) == 0xa3492ec28e62c410dff92bf0549bf771);
|
|
}
|
|
|
|
test "bitwise or simple" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(u64)) == 0xffffffff33333333);
|
|
}
|
|
|
|
test "bitwise or multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) + 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, maxInt(Limb));
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(DoubleLimb)) == (maxInt(Limb) + 1) + maxInt(Limb));
|
|
}
|
|
|
|
test "bitwise or negative-positive simple" {
|
|
var a = try Managed.initSet(testing.allocator, -0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(i64)) == -0x1111111111111111);
|
|
}
|
|
|
|
test "bitwise or negative-positive multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, -maxInt(Limb) - 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 1);
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == -maxInt(Limb));
|
|
}
|
|
|
|
test "bitwise or positive-negative simple" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(i64)) == -0x22222221);
|
|
}
|
|
|
|
test "bitwise or positive-negative multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, maxInt(Limb) + 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -1);
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == -1);
|
|
}
|
|
|
|
test "bitwise or negative-negative simple" {
|
|
var a = try Managed.initSet(testing.allocator, -0xffffffff11111111);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -0xeeeeeeee22222222);
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(i128)) == -0xeeeeeeee00000001);
|
|
}
|
|
|
|
test "bitwise or negative-negative multi-limb" {
|
|
var a = try Managed.initSet(testing.allocator, -maxInt(Limb) - 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, -maxInt(Limb));
|
|
defer b.deinit();
|
|
|
|
try a.bitOr(&a, &b);
|
|
|
|
try testing.expect((try a.toInt(SignedDoubleLimb)) == -maxInt(Limb));
|
|
}
|
|
|
|
test "var args" {
|
|
var a = try Managed.initSet(testing.allocator, 5);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.initSet(testing.allocator, 6);
|
|
defer b.deinit();
|
|
try a.add(&a, &b);
|
|
try testing.expect((try a.toInt(u64)) == 11);
|
|
|
|
var c = try Managed.initSet(testing.allocator, 11);
|
|
defer c.deinit();
|
|
try testing.expect(a.order(c) == .eq);
|
|
|
|
var d = try Managed.initSet(testing.allocator, 14);
|
|
defer d.deinit();
|
|
try testing.expect(a.order(d) != .gt);
|
|
}
|
|
|
|
test "gcd non-one small" {
|
|
var a = try Managed.initSet(testing.allocator, 17);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 97);
|
|
defer b.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
|
|
try r.gcd(&a, &b);
|
|
|
|
try testing.expect((try r.toInt(u32)) == 1);
|
|
}
|
|
|
|
test "gcd non-one medium" {
|
|
var a = try Managed.initSet(testing.allocator, 4864);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 3458);
|
|
defer b.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
|
|
try r.gcd(&a, &b);
|
|
|
|
try testing.expect((try r.toInt(u32)) == 38);
|
|
}
|
|
|
|
test "gcd non-one large" {
|
|
var a = try Managed.initSet(testing.allocator, 0xffffffffffffffff);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0xffffffffffffffff7777);
|
|
defer b.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
|
|
try r.gcd(&a, &b);
|
|
|
|
try testing.expect((try r.toInt(u32)) == 4369);
|
|
}
|
|
|
|
test "gcd large multi-limb result" {
|
|
if (builtin.zig_backend == .stage2_c) return error.SkipZigTest;
|
|
|
|
var a = try Managed.initSet(testing.allocator, 0x12345678123456781234567812345678123456781234567812345678);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 0x12345671234567123456712345671234567123456712345671234567);
|
|
defer b.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
|
|
try r.gcd(&a, &b);
|
|
|
|
const answer = (try r.toInt(u256));
|
|
try testing.expect(answer == 0xf000000ff00000fff0000ffff000fffff00ffffff1);
|
|
}
|
|
|
|
test "gcd one large" {
|
|
var a = try Managed.initSet(testing.allocator, 1897056385327307);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 2251799813685248);
|
|
defer b.deinit();
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
|
|
try r.gcd(&a, &b);
|
|
|
|
try testing.expect((try r.toInt(u64)) == 1);
|
|
}
|
|
|
|
test "mutable to managed" {
|
|
const allocator = testing.allocator;
|
|
const limbs_buf = try allocator.alloc(Limb, 8);
|
|
defer allocator.free(limbs_buf);
|
|
|
|
var a = Mutable.init(limbs_buf, 0xdeadbeef);
|
|
var a_managed = a.toManaged(allocator);
|
|
|
|
try testing.expect(a.toConst().eql(a_managed.toConst()));
|
|
}
|
|
|
|
test "const to managed" {
|
|
var a = try Managed.initSet(testing.allocator, 123423453456);
|
|
defer a.deinit();
|
|
|
|
var b = try a.toConst().toManaged(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
try testing.expect(a.toConst().eql(b.toConst()));
|
|
}
|
|
|
|
test "pow" {
|
|
{
|
|
var a = try Managed.initSet(testing.allocator, -3);
|
|
defer a.deinit();
|
|
|
|
try a.pow(&a, 3);
|
|
try testing.expectEqual(@as(i32, -27), try a.toInt(i32));
|
|
|
|
try a.pow(&a, 4);
|
|
try testing.expectEqual(@as(i32, 531441), try a.toInt(i32));
|
|
}
|
|
{
|
|
var a = try Managed.initSet(testing.allocator, 10);
|
|
defer a.deinit();
|
|
|
|
var y = try Managed.init(testing.allocator);
|
|
defer y.deinit();
|
|
|
|
// y and a are not aliased
|
|
try y.pow(&a, 123);
|
|
// y and a are aliased
|
|
try a.pow(&a, 123);
|
|
|
|
try testing.expect(a.eql(y));
|
|
|
|
const ys = try y.toString(testing.allocator, 16, .lower);
|
|
defer testing.allocator.free(ys);
|
|
try testing.expectEqualSlices(
|
|
u8,
|
|
"183425a5f872f126e00a5ad62c839075cd6846c6fb0230887c7ad7a9dc530fcb" ++
|
|
"4933f60e8000000000000000000000000000000",
|
|
ys,
|
|
);
|
|
}
|
|
// Special cases
|
|
{
|
|
var a = try Managed.initSet(testing.allocator, 0);
|
|
defer a.deinit();
|
|
|
|
try a.pow(&a, 100);
|
|
try testing.expectEqual(@as(i32, 0), try a.toInt(i32));
|
|
|
|
try a.set(1);
|
|
try a.pow(&a, 0);
|
|
try testing.expectEqual(@as(i32, 1), try a.toInt(i32));
|
|
try a.pow(&a, 100);
|
|
try testing.expectEqual(@as(i32, 1), try a.toInt(i32));
|
|
try a.set(-1);
|
|
try a.pow(&a, 15);
|
|
try testing.expectEqual(@as(i32, -1), try a.toInt(i32));
|
|
try a.pow(&a, 16);
|
|
try testing.expectEqual(@as(i32, 1), try a.toInt(i32));
|
|
}
|
|
}
|
|
|
|
test "sqrt" {
|
|
var r = try Managed.init(testing.allocator);
|
|
defer r.deinit();
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
// not aliased
|
|
try r.set(0);
|
|
try a.set(25);
|
|
try r.sqrt(&a);
|
|
try testing.expectEqual(@as(i32, 5), try r.toInt(i32));
|
|
|
|
// aliased
|
|
try a.set(25);
|
|
try a.sqrt(&a);
|
|
try testing.expectEqual(@as(i32, 5), try a.toInt(i32));
|
|
|
|
// bottom
|
|
try r.set(0);
|
|
try a.set(24);
|
|
try r.sqrt(&a);
|
|
try testing.expectEqual(@as(i32, 4), try r.toInt(i32));
|
|
|
|
// large number
|
|
try r.set(0);
|
|
try a.set(0x1_0000_0000_0000);
|
|
try r.sqrt(&a);
|
|
try testing.expectEqual(@as(i32, 0x100_0000), try r.toInt(i32));
|
|
}
|
|
|
|
test "regression test for 1 limb overflow with alias" {
|
|
// Note these happen to be two consecutive Fibonacci sequence numbers, the
|
|
// first two whose sum exceeds 2**64.
|
|
var a = try Managed.initSet(testing.allocator, 7540113804746346429);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 12200160415121876738);
|
|
defer b.deinit();
|
|
|
|
try a.ensureAddCapacity(a.toConst(), b.toConst());
|
|
try a.add(&a, &b);
|
|
|
|
try testing.expect(a.toConst().orderAgainstScalar(19740274219868223167) == .eq);
|
|
}
|
|
|
|
test "regression test for realloc with alias" {
|
|
// Note these happen to be two consecutive Fibonacci sequence numbers, the
|
|
// second of which is the first such number to exceed 2**192.
|
|
var a = try Managed.initSet(testing.allocator, 5611500259351924431073312796924978741056961814867751431689);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, 9079598147510263717870894449029933369491131786514446266146);
|
|
defer b.deinit();
|
|
|
|
try a.ensureAddCapacity(a.toConst(), b.toConst());
|
|
try a.add(&a, &b);
|
|
|
|
try testing.expect(a.toConst().orderAgainstScalar(14691098406862188148944207245954912110548093601382197697835) == .eq);
|
|
}
|
|
|
|
test "big int popcount" {
|
|
var a = try Managed.init(testing.allocator);
|
|
defer a.deinit();
|
|
|
|
try a.set(0);
|
|
try popCountTest(&a, 0, 0);
|
|
try popCountTest(&a, 567, 0);
|
|
|
|
try a.set(1);
|
|
try popCountTest(&a, 1, 1);
|
|
try popCountTest(&a, 13, 1);
|
|
try popCountTest(&a, 432, 1);
|
|
|
|
try a.set(255);
|
|
try popCountTest(&a, 8, 8);
|
|
try a.set(-128);
|
|
try popCountTest(&a, 8, 1);
|
|
|
|
try a.set(-2);
|
|
try popCountTest(&a, 16, 15);
|
|
try popCountTest(&a, 15, 14);
|
|
|
|
try a.set(-2047);
|
|
try popCountTest(&a, 12, 2);
|
|
try popCountTest(&a, 24, 14);
|
|
|
|
try a.set(maxInt(u5000));
|
|
try popCountTest(&a, 5000, 5000);
|
|
try a.set(minInt(i5000));
|
|
try popCountTest(&a, 5000, 1);
|
|
|
|
// Check -1 at various bit counts that cross Limb size multiples.
|
|
const limb_bits = @bitSizeOf(Limb);
|
|
try a.set(-1);
|
|
try popCountTest(&a, 1, 1); // i1
|
|
try popCountTest(&a, 2, 2);
|
|
try popCountTest(&a, 16, 16);
|
|
try popCountTest(&a, 543, 543);
|
|
try popCountTest(&a, 544, 544);
|
|
try popCountTest(&a, limb_bits - 1, limb_bits - 1);
|
|
try popCountTest(&a, limb_bits, limb_bits);
|
|
try popCountTest(&a, limb_bits + 1, limb_bits + 1);
|
|
try popCountTest(&a, limb_bits * 2 - 1, limb_bits * 2 - 1);
|
|
try popCountTest(&a, limb_bits * 2, limb_bits * 2);
|
|
try popCountTest(&a, limb_bits * 2 + 1, limb_bits * 2 + 1);
|
|
|
|
// Check very large numbers.
|
|
try a.setString(16, "ff00000100000100" ++ ("0000000000000000" ** 62));
|
|
try popCountTest(&a, 4032, 10);
|
|
try popCountTest(&a, 6000, 10);
|
|
a.negate();
|
|
try popCountTest(&a, 4033, 48);
|
|
try popCountTest(&a, 4133, 148);
|
|
|
|
// Check when most significant limb is full of 1s.
|
|
const limb_size = @bitSizeOf(Limb);
|
|
try a.set(maxInt(Limb));
|
|
try popCountTest(&a, limb_size, limb_size);
|
|
try popCountTest(&a, limb_size + 1, limb_size);
|
|
try popCountTest(&a, limb_size * 10 + 2, limb_size);
|
|
a.negate();
|
|
try popCountTest(&a, limb_size * 2 - 2, limb_size - 1);
|
|
try popCountTest(&a, limb_size * 2 - 1, limb_size);
|
|
try popCountTest(&a, limb_size * 2, limb_size + 1);
|
|
try popCountTest(&a, limb_size * 2 + 1, limb_size + 2);
|
|
try popCountTest(&a, limb_size * 2 + 2, limb_size + 3);
|
|
try popCountTest(&a, limb_size * 2 + 3, limb_size + 4);
|
|
try popCountTest(&a, limb_size * 2 + 4, limb_size + 5);
|
|
try popCountTest(&a, limb_size * 4 + 2, limb_size * 3 + 3);
|
|
}
|
|
|
|
fn popCountTest(val: *const Managed, bit_count: usize, expected: usize) !void {
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
try b.popCount(val, bit_count);
|
|
|
|
try testing.expectEqual(std.math.Order.eq, b.toConst().orderAgainstScalar(expected));
|
|
try testing.expectEqual(expected, val.toConst().popCount(bit_count));
|
|
}
|
|
|
|
test "big int conversion read/write twos complement" {
|
|
var a = try Managed.initSet(testing.allocator, (1 << 493) - 1);
|
|
defer a.deinit();
|
|
var b = try Managed.initSet(testing.allocator, (1 << 493) - 1);
|
|
defer b.deinit();
|
|
var m = b.toMutable();
|
|
|
|
var buffer1 = try testing.allocator.alloc(u8, 64);
|
|
defer testing.allocator.free(buffer1);
|
|
|
|
const endians = [_]std.builtin.Endian{ .little, .big };
|
|
const abi_size = 64;
|
|
|
|
for (endians) |endian| {
|
|
// Writing to buffer and back should not change anything
|
|
a.toConst().writeTwosComplement(buffer1[0..abi_size], endian);
|
|
m.readTwosComplement(buffer1[0..abi_size], 493, endian, .unsigned);
|
|
try testing.expect(m.toConst().order(a.toConst()) == .eq);
|
|
|
|
// Equivalent to @bitCast(i493, @as(u493, intMax(u493))
|
|
a.toConst().writeTwosComplement(buffer1[0..abi_size], endian);
|
|
m.readTwosComplement(buffer1[0..abi_size], 493, endian, .signed);
|
|
try testing.expect(m.toConst().orderAgainstScalar(-1) == .eq);
|
|
}
|
|
}
|
|
|
|
test "big int conversion read twos complement with padding" {
|
|
var a = try Managed.initSet(testing.allocator, 0x01_02030405_06070809_0a0b0c0d);
|
|
defer a.deinit();
|
|
|
|
var buffer1 = try testing.allocator.alloc(u8, 16);
|
|
defer testing.allocator.free(buffer1);
|
|
@memset(buffer1, 0xaa);
|
|
|
|
// writeTwosComplement:
|
|
// (1) should not write beyond buffer[0..abi_size]
|
|
// (2) should correctly order bytes based on the provided endianness
|
|
// (3) should sign-extend any bits from bit_count to 8 * abi_size
|
|
|
|
var bit_count: usize = 12 * 8 + 1;
|
|
a.toConst().writeTwosComplement(buffer1[0..13], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0xd, 0xc, 0xb, 0xa, 0x9, 0x8, 0x7, 0x6, 0x5, 0x4, 0x3, 0x2, 0x1, 0xaa, 0xaa, 0xaa }));
|
|
a.toConst().writeTwosComplement(buffer1[0..13], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd, 0xaa, 0xaa, 0xaa }));
|
|
a.toConst().writeTwosComplement(buffer1[0..16], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0xd, 0xc, 0xb, 0xa, 0x9, 0x8, 0x7, 0x6, 0x5, 0x4, 0x3, 0x2, 0x1, 0x0, 0x0, 0x0 }));
|
|
a.toConst().writeTwosComplement(buffer1[0..16], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0x0, 0x0, 0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd }));
|
|
|
|
@memset(buffer1, 0xaa);
|
|
try a.set(-0x01_02030405_06070809_0a0b0c0d);
|
|
bit_count = 12 * 8 + 2;
|
|
|
|
a.toConst().writeTwosComplement(buffer1[0..13], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0xf3, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xaa, 0xaa, 0xaa }));
|
|
a.toConst().writeTwosComplement(buffer1[0..13], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0xfe, 0xfd, 0xfc, 0xfb, 0xfa, 0xf9, 0xf8, 0xf7, 0xf6, 0xf5, 0xf4, 0xf3, 0xf3, 0xaa, 0xaa, 0xaa }));
|
|
a.toConst().writeTwosComplement(buffer1[0..16], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0xf3, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0xfe, 0xff, 0xff, 0xff }));
|
|
a.toConst().writeTwosComplement(buffer1[0..16], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &[_]u8{ 0xff, 0xff, 0xff, 0xfe, 0xfd, 0xfc, 0xfb, 0xfa, 0xf9, 0xf8, 0xf7, 0xf6, 0xf5, 0xf4, 0xf3, 0xf3 }));
|
|
}
|
|
|
|
test "big int write twos complement +/- zero" {
|
|
var a = try Managed.initSet(testing.allocator, 0x0);
|
|
defer a.deinit();
|
|
var m = a.toMutable();
|
|
|
|
var buffer1 = try testing.allocator.alloc(u8, 16);
|
|
defer testing.allocator.free(buffer1);
|
|
@memset(buffer1, 0xaa);
|
|
|
|
// Test zero
|
|
|
|
m.toConst().writeTwosComplement(buffer1[0..13], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 13) ++ ([_]u8{0xaa} ** 3))));
|
|
m.toConst().writeTwosComplement(buffer1[0..13], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 13) ++ ([_]u8{0xaa} ** 3))));
|
|
m.toConst().writeTwosComplement(buffer1[0..16], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 16))));
|
|
m.toConst().writeTwosComplement(buffer1[0..16], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 16))));
|
|
|
|
@memset(buffer1, 0xaa);
|
|
m.positive = false;
|
|
|
|
// Test negative zero
|
|
|
|
m.toConst().writeTwosComplement(buffer1[0..13], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 13) ++ ([_]u8{0xaa} ** 3))));
|
|
m.toConst().writeTwosComplement(buffer1[0..13], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 13) ++ ([_]u8{0xaa} ** 3))));
|
|
m.toConst().writeTwosComplement(buffer1[0..16], .little);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 16))));
|
|
m.toConst().writeTwosComplement(buffer1[0..16], .big);
|
|
try testing.expect(std.mem.eql(u8, buffer1, &(([_]u8{0} ** 16))));
|
|
}
|
|
|
|
test "big int conversion write twos complement with padding" {
|
|
var a = try Managed.initSet(testing.allocator, 0x01_ffffffff_ffffffff_ffffffff);
|
|
defer a.deinit();
|
|
|
|
var m = a.toMutable();
|
|
|
|
// readTwosComplement:
|
|
// (1) should not read beyond buffer[0..abi_size]
|
|
// (2) should correctly interpret bytes based on the provided endianness
|
|
// (3) should ignore any bits from bit_count to 8 * abi_size
|
|
|
|
var bit_count: usize = 12 * 8 + 1;
|
|
var buffer: []const u8 = undefined;
|
|
|
|
// Test 0x01_02030405_06070809_0a0b0c0d
|
|
|
|
buffer = &[_]u8{ 0xd, 0xc, 0xb, 0xa, 0x9, 0x8, 0x7, 0x6, 0x5, 0x4, 0x3, 0x2, 0xb };
|
|
m.readTwosComplement(buffer[0..13], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xb, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd };
|
|
m.readTwosComplement(buffer[0..13], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xd, 0xc, 0xb, 0xa, 0x9, 0x8, 0x7, 0x6, 0x5, 0x4, 0x3, 0x2, 0xab, 0xaa, 0xaa, 0xaa };
|
|
m.readTwosComplement(buffer[0..16], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xaa, 0xaa, 0xaa, 0xab, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd };
|
|
m.readTwosComplement(buffer[0..16], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
bit_count = @sizeOf(Limb) * 8;
|
|
|
|
// Test 0x0a0a0a0a_02030405_06070809_0a0b0c0d
|
|
|
|
buffer = &[_]u8{ 0xd, 0xc, 0xb, 0xa, 0x9, 0x8, 0x7, 0x6, 0x5, 0x4, 0x3, 0x2, 0xaa };
|
|
m.readTwosComplement(buffer[0..13], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(@as(Limb, @truncate(0xaa_02030405_06070809_0a0b0c0d))) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xaa, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd };
|
|
m.readTwosComplement(buffer[0..13], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(@as(Limb, @truncate(0xaa_02030405_06070809_0a0b0c0d))) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xd, 0xc, 0xb, 0xa, 0x9, 0x8, 0x7, 0x6, 0x5, 0x4, 0x3, 0x2, 0xaa, 0xaa, 0xaa, 0xaa };
|
|
m.readTwosComplement(buffer[0..16], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(@as(Limb, @truncate(0xaaaaaaaa_02030405_06070809_0a0b0c0d))) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xaa, 0xaa, 0xaa, 0xaa, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9, 0xa, 0xb, 0xc, 0xd };
|
|
m.readTwosComplement(buffer[0..16], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(@as(Limb, @truncate(0xaaaaaaaa_02030405_06070809_0a0b0c0d))) == .eq);
|
|
|
|
bit_count = 12 * 8 + 2;
|
|
|
|
// Test -0x01_02030405_06070809_0a0b0c0d
|
|
|
|
buffer = &[_]u8{ 0xf3, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0x02 };
|
|
m.readTwosComplement(buffer[0..13], bit_count, .little, .signed);
|
|
try testing.expect(m.toConst().orderAgainstScalar(-0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
buffer = &[_]u8{ 0x02, 0xfd, 0xfc, 0xfb, 0xfa, 0xf9, 0xf8, 0xf7, 0xf6, 0xf5, 0xf4, 0xf3, 0xf3 };
|
|
m.readTwosComplement(buffer[0..13], bit_count, .big, .signed);
|
|
try testing.expect(m.toConst().orderAgainstScalar(-0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xf3, 0xf3, 0xf4, 0xf5, 0xf6, 0xf7, 0xf8, 0xf9, 0xfa, 0xfb, 0xfc, 0xfd, 0x02, 0xaa, 0xaa, 0xaa };
|
|
m.readTwosComplement(buffer[0..16], bit_count, .little, .signed);
|
|
try testing.expect(m.toConst().orderAgainstScalar(-0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
buffer = &[_]u8{ 0xaa, 0xaa, 0xaa, 0x02, 0xfd, 0xfc, 0xfb, 0xfa, 0xf9, 0xf8, 0xf7, 0xf6, 0xf5, 0xf4, 0xf3, 0xf3 };
|
|
m.readTwosComplement(buffer[0..16], bit_count, .big, .signed);
|
|
try testing.expect(m.toConst().orderAgainstScalar(-0x01_02030405_06070809_0a0b0c0d) == .eq);
|
|
|
|
// Test 0
|
|
|
|
buffer = &([_]u8{0} ** 16);
|
|
m.readTwosComplement(buffer[0..13], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..13], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..16], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..16], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
|
|
bit_count = 0;
|
|
buffer = &([_]u8{0xaa} ** 16);
|
|
m.readTwosComplement(buffer[0..13], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..13], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..16], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..16], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
}
|
|
|
|
test "big int conversion write twos complement zero" {
|
|
var a = try Managed.initSet(testing.allocator, 0x01_ffffffff_ffffffff_ffffffff);
|
|
defer a.deinit();
|
|
|
|
var m = a.toMutable();
|
|
|
|
// readTwosComplement:
|
|
// (1) should not read beyond buffer[0..abi_size]
|
|
// (2) should correctly interpret bytes based on the provided endianness
|
|
// (3) should ignore any bits from bit_count to 8 * abi_size
|
|
|
|
const bit_count: usize = 12 * 8 + 1;
|
|
var buffer: []const u8 = undefined;
|
|
|
|
buffer = &([_]u8{0} ** 13);
|
|
m.readTwosComplement(buffer[0..13], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..13], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
|
|
buffer = &([_]u8{0} ** 16);
|
|
m.readTwosComplement(buffer[0..16], bit_count, .little, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
m.readTwosComplement(buffer[0..16], bit_count, .big, .unsigned);
|
|
try testing.expect(m.toConst().orderAgainstScalar(0x0) == .eq);
|
|
}
|
|
|
|
fn bitReverseTest(comptime T: type, comptime input: comptime_int, comptime expected_output: comptime_int) !void {
|
|
const bit_count = @typeInfo(T).int.bits;
|
|
const signedness = @typeInfo(T).int.signedness;
|
|
|
|
var a = try Managed.initSet(testing.allocator, input);
|
|
defer a.deinit();
|
|
|
|
try a.ensureCapacity(calcTwosCompLimbCount(bit_count));
|
|
var m = a.toMutable();
|
|
m.bitReverse(a.toConst(), signedness, bit_count);
|
|
try testing.expect(m.toConst().orderAgainstScalar(expected_output) == .eq);
|
|
}
|
|
|
|
test "big int bit reverse" {
|
|
var a = try Managed.initSet(testing.allocator, 0x01_ffffffff_ffffffff_ffffffff);
|
|
defer a.deinit();
|
|
|
|
try bitReverseTest(u0, 0, 0);
|
|
try bitReverseTest(u5, 0x12, 0x09);
|
|
try bitReverseTest(u8, 0x12, 0x48);
|
|
try bitReverseTest(u16, 0x1234, 0x2c48);
|
|
try bitReverseTest(u24, 0x123456, 0x6a2c48);
|
|
try bitReverseTest(u32, 0x12345678, 0x1e6a2c48);
|
|
try bitReverseTest(u40, 0x123456789a, 0x591e6a2c48);
|
|
try bitReverseTest(u48, 0x123456789abc, 0x3d591e6a2c48);
|
|
try bitReverseTest(u56, 0x123456789abcde, 0x7b3d591e6a2c48);
|
|
try bitReverseTest(u64, 0x123456789abcdef1, 0x8f7b3d591e6a2c48);
|
|
try bitReverseTest(u95, 0x123456789abcdef111213141, 0x4146424447bd9eac8f351624);
|
|
try bitReverseTest(u96, 0x123456789abcdef111213141, 0x828c84888f7b3d591e6a2c48);
|
|
try bitReverseTest(u128, 0x123456789abcdef11121314151617181, 0x818e868a828c84888f7b3d591e6a2c48);
|
|
|
|
try bitReverseTest(i8, @as(i8, @bitCast(@as(u8, 0x92))), @as(i8, @bitCast(@as(u8, 0x49))));
|
|
try bitReverseTest(i16, @as(i16, @bitCast(@as(u16, 0x1234))), @as(i16, @bitCast(@as(u16, 0x2c48))));
|
|
try bitReverseTest(i24, @as(i24, @bitCast(@as(u24, 0x123456))), @as(i24, @bitCast(@as(u24, 0x6a2c48))));
|
|
try bitReverseTest(i24, @as(i24, @bitCast(@as(u24, 0x12345f))), @as(i24, @bitCast(@as(u24, 0xfa2c48))));
|
|
try bitReverseTest(i24, @as(i24, @bitCast(@as(u24, 0xf23456))), @as(i24, @bitCast(@as(u24, 0x6a2c4f))));
|
|
try bitReverseTest(i32, @as(i32, @bitCast(@as(u32, 0x12345678))), @as(i32, @bitCast(@as(u32, 0x1e6a2c48))));
|
|
try bitReverseTest(i32, @as(i32, @bitCast(@as(u32, 0xf2345678))), @as(i32, @bitCast(@as(u32, 0x1e6a2c4f))));
|
|
try bitReverseTest(i32, @as(i32, @bitCast(@as(u32, 0x1234567f))), @as(i32, @bitCast(@as(u32, 0xfe6a2c48))));
|
|
try bitReverseTest(i40, @as(i40, @bitCast(@as(u40, 0x123456789a))), @as(i40, @bitCast(@as(u40, 0x591e6a2c48))));
|
|
try bitReverseTest(i48, @as(i48, @bitCast(@as(u48, 0x123456789abc))), @as(i48, @bitCast(@as(u48, 0x3d591e6a2c48))));
|
|
try bitReverseTest(i56, @as(i56, @bitCast(@as(u56, 0x123456789abcde))), @as(i56, @bitCast(@as(u56, 0x7b3d591e6a2c48))));
|
|
try bitReverseTest(i64, @as(i64, @bitCast(@as(u64, 0x123456789abcdef1))), @as(i64, @bitCast(@as(u64, 0x8f7b3d591e6a2c48))));
|
|
try bitReverseTest(i96, @as(i96, @bitCast(@as(u96, 0x123456789abcdef111213141))), @as(i96, @bitCast(@as(u96, 0x828c84888f7b3d591e6a2c48))));
|
|
try bitReverseTest(i128, @as(i128, @bitCast(@as(u128, 0x123456789abcdef11121314151617181))), @as(i128, @bitCast(@as(u128, 0x818e868a828c84888f7b3d591e6a2c48))));
|
|
}
|
|
|
|
fn byteSwapTest(comptime T: type, comptime input: comptime_int, comptime expected_output: comptime_int) !void {
|
|
const byte_count = @typeInfo(T).int.bits / 8;
|
|
const signedness = @typeInfo(T).int.signedness;
|
|
|
|
var a = try Managed.initSet(testing.allocator, input);
|
|
defer a.deinit();
|
|
|
|
try a.ensureCapacity(calcTwosCompLimbCount(8 * byte_count));
|
|
var m = a.toMutable();
|
|
m.byteSwap(a.toConst(), signedness, byte_count);
|
|
try testing.expect(m.toConst().orderAgainstScalar(expected_output) == .eq);
|
|
}
|
|
|
|
test "big int byte swap" {
|
|
var a = try Managed.initSet(testing.allocator, 0x01_ffffffff_ffffffff_ffffffff);
|
|
defer a.deinit();
|
|
|
|
@setEvalBranchQuota(10_000);
|
|
|
|
try byteSwapTest(u0, 0, 0);
|
|
try byteSwapTest(u8, 0x12, 0x12);
|
|
try byteSwapTest(u16, 0x1234, 0x3412);
|
|
try byteSwapTest(u24, 0x123456, 0x563412);
|
|
try byteSwapTest(u32, 0x12345678, 0x78563412);
|
|
try byteSwapTest(u40, 0x123456789a, 0x9a78563412);
|
|
try byteSwapTest(u48, 0x123456789abc, 0xbc9a78563412);
|
|
try byteSwapTest(u56, 0x123456789abcde, 0xdebc9a78563412);
|
|
try byteSwapTest(u64, 0x123456789abcdef1, 0xf1debc9a78563412);
|
|
try byteSwapTest(u88, 0x123456789abcdef1112131, 0x312111f1debc9a78563412);
|
|
try byteSwapTest(u96, 0x123456789abcdef111213141, 0x41312111f1debc9a78563412);
|
|
try byteSwapTest(u128, 0x123456789abcdef11121314151617181, 0x8171615141312111f1debc9a78563412);
|
|
|
|
try byteSwapTest(i8, -50, -50);
|
|
try byteSwapTest(i16, @as(i16, @bitCast(@as(u16, 0x1234))), @as(i16, @bitCast(@as(u16, 0x3412))));
|
|
try byteSwapTest(i24, @as(i24, @bitCast(@as(u24, 0x123456))), @as(i24, @bitCast(@as(u24, 0x563412))));
|
|
try byteSwapTest(i32, @as(i32, @bitCast(@as(u32, 0x12345678))), @as(i32, @bitCast(@as(u32, 0x78563412))));
|
|
try byteSwapTest(i40, @as(i40, @bitCast(@as(u40, 0x123456789a))), @as(i40, @bitCast(@as(u40, 0x9a78563412))));
|
|
try byteSwapTest(i48, @as(i48, @bitCast(@as(u48, 0x123456789abc))), @as(i48, @bitCast(@as(u48, 0xbc9a78563412))));
|
|
try byteSwapTest(i56, @as(i56, @bitCast(@as(u56, 0x123456789abcde))), @as(i56, @bitCast(@as(u56, 0xdebc9a78563412))));
|
|
try byteSwapTest(i64, @as(i64, @bitCast(@as(u64, 0x123456789abcdef1))), @as(i64, @bitCast(@as(u64, 0xf1debc9a78563412))));
|
|
try byteSwapTest(i88, @as(i88, @bitCast(@as(u88, 0x123456789abcdef1112131))), @as(i88, @bitCast(@as(u88, 0x312111f1debc9a78563412))));
|
|
try byteSwapTest(i96, @as(i96, @bitCast(@as(u96, 0x123456789abcdef111213141))), @as(i96, @bitCast(@as(u96, 0x41312111f1debc9a78563412))));
|
|
try byteSwapTest(i128, @as(i128, @bitCast(@as(u128, 0x123456789abcdef11121314151617181))), @as(i128, @bitCast(@as(u128, 0x8171615141312111f1debc9a78563412))));
|
|
|
|
try byteSwapTest(u512, 0x80, 1 << 511);
|
|
try byteSwapTest(i512, 0x80, minInt(i512));
|
|
try byteSwapTest(i512, 0x40, 1 << 510);
|
|
try byteSwapTest(i512, -0x100, (1 << 504) - 1);
|
|
try byteSwapTest(i400, -0x100, (1 << 392) - 1);
|
|
try byteSwapTest(i400, -0x2, -(1 << 392) - 1);
|
|
try byteSwapTest(i24, @as(i24, @bitCast(@as(u24, 0xf23456))), 0x5634f2);
|
|
try byteSwapTest(i24, 0x1234f6, @as(i24, @bitCast(@as(u24, 0xf63412))));
|
|
try byteSwapTest(i32, @as(i32, @bitCast(@as(u32, 0xf2345678))), 0x785634f2);
|
|
try byteSwapTest(i32, 0x123456f8, @as(i32, @bitCast(@as(u32, 0xf8563412))));
|
|
try byteSwapTest(i48, 0x123456789abc, @as(i48, @bitCast(@as(u48, 0xbc9a78563412))));
|
|
}
|
|
|
|
test "mul multi-multi alias r with a and b" {
|
|
var a = try Managed.initSet(testing.allocator, 2 * maxInt(Limb));
|
|
defer a.deinit();
|
|
|
|
try a.mul(&a, &a);
|
|
|
|
var want = try Managed.initSet(testing.allocator, 4 * maxInt(Limb) * maxInt(Limb));
|
|
defer want.deinit();
|
|
|
|
try testing.expect(a.eql(want));
|
|
|
|
if (@typeInfo(Limb).int.bits == 64) {
|
|
try testing.expectEqual(@as(usize, 5), a.limbs.len);
|
|
}
|
|
}
|
|
|
|
test "sqr multi alias r with a" {
|
|
var a = try Managed.initSet(testing.allocator, 2 * maxInt(Limb));
|
|
defer a.deinit();
|
|
|
|
try a.sqr(&a);
|
|
|
|
var want = try Managed.initSet(testing.allocator, 4 * maxInt(Limb) * maxInt(Limb));
|
|
defer want.deinit();
|
|
|
|
try testing.expect(a.eql(want));
|
|
|
|
if (@typeInfo(Limb).int.bits == 64) {
|
|
try testing.expectEqual(@as(usize, 5), a.limbs.len);
|
|
}
|
|
}
|
|
|
|
test "eql zeroes #17296" {
|
|
var zero = try Managed.init(testing.allocator);
|
|
defer zero.deinit();
|
|
try zero.setString(10, "0");
|
|
try std.testing.expect(zero.eql(zero));
|
|
|
|
{
|
|
var sum = try Managed.init(testing.allocator);
|
|
defer sum.deinit();
|
|
try sum.add(&zero, &zero);
|
|
try std.testing.expect(zero.eql(sum));
|
|
}
|
|
|
|
{
|
|
var diff = try Managed.init(testing.allocator);
|
|
defer diff.deinit();
|
|
try diff.sub(&zero, &zero);
|
|
try std.testing.expect(zero.eql(diff));
|
|
}
|
|
}
|
|
|
|
test "Const.order 0 == -0" {
|
|
const a = std.math.big.int.Const{
|
|
.limbs = &.{0},
|
|
.positive = true,
|
|
};
|
|
const b = std.math.big.int.Const{
|
|
.limbs = &.{0},
|
|
.positive = false,
|
|
};
|
|
try std.testing.expectEqual(std.math.Order.eq, a.order(b));
|
|
}
|
|
|
|
test "Managed sqrt(0) = 0" {
|
|
const allocator = testing.allocator;
|
|
var a = try Managed.initSet(allocator, 1);
|
|
defer a.deinit();
|
|
|
|
var res = try Managed.initSet(allocator, 1);
|
|
defer res.deinit();
|
|
|
|
try a.setString(10, "0");
|
|
|
|
try res.sqrt(&a);
|
|
try testing.expectEqual(@as(i32, 0), try res.toInt(i32));
|
|
}
|
|
|
|
test "Managed sqrt(-1) = error" {
|
|
const allocator = testing.allocator;
|
|
var a = try Managed.initSet(allocator, 1);
|
|
defer a.deinit();
|
|
|
|
var res = try Managed.initSet(allocator, 1);
|
|
defer res.deinit();
|
|
|
|
try a.setString(10, "-1");
|
|
|
|
try testing.expectError(error.SqrtOfNegativeNumber, res.sqrt(&a));
|
|
}
|
|
|
|
test "Managed sqrt(n) succeed with res.bitCountAbs() >= usize bits" {
|
|
const allocator = testing.allocator;
|
|
var a = try Managed.initSet(allocator, 1);
|
|
defer a.deinit();
|
|
|
|
var res = try Managed.initSet(allocator, 1);
|
|
defer res.deinit();
|
|
|
|
// a.bitCountAbs() = 127 so the first attempt has 64 bits >= usize bits
|
|
try a.setString(10, "136036462105870278006290938611834481486");
|
|
try res.sqrt(&a);
|
|
|
|
var expected = try Managed.initSet(allocator, 1);
|
|
defer expected.deinit();
|
|
try expected.setString(10, "11663466984815033033");
|
|
try std.testing.expectEqual(std.math.Order.eq, expected.order(res));
|
|
}
|
|
|
|
test "(BigInt) positive" {
|
|
var a = try Managed.initSet(testing.allocator, 2);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.initSet(testing.allocator, 1);
|
|
defer c.deinit();
|
|
|
|
// a = pow(2, 64 * @sizeOf(usize) * 8), b = a - 1
|
|
try a.pow(&a, 64 * @sizeOf(Limb) * 8);
|
|
try b.sub(&a, &c);
|
|
|
|
const a_fmt = try std.fmt.allocPrintZ(testing.allocator, "{d}", .{a});
|
|
defer testing.allocator.free(a_fmt);
|
|
|
|
const b_fmt = try std.fmt.allocPrintZ(testing.allocator, "{d}", .{b});
|
|
defer testing.allocator.free(b_fmt);
|
|
|
|
try testing.expect(mem.eql(u8, a_fmt, "(BigInt)"));
|
|
try testing.expect(!mem.eql(u8, b_fmt, "(BigInt)"));
|
|
}
|
|
|
|
test "(BigInt) negative" {
|
|
var a = try Managed.initSet(testing.allocator, 2);
|
|
defer a.deinit();
|
|
|
|
var b = try Managed.init(testing.allocator);
|
|
defer b.deinit();
|
|
|
|
var c = try Managed.initSet(testing.allocator, 1);
|
|
defer c.deinit();
|
|
|
|
// a = -pow(2, 64 * @sizeOf(usize) * 8), b = a + 1
|
|
try a.pow(&a, 64 * @sizeOf(Limb) * 8);
|
|
a.negate();
|
|
try b.add(&a, &c);
|
|
|
|
const a_fmt = try std.fmt.allocPrintZ(testing.allocator, "{d}", .{a});
|
|
defer testing.allocator.free(a_fmt);
|
|
|
|
const b_fmt = try std.fmt.allocPrintZ(testing.allocator, "{d}", .{b});
|
|
defer testing.allocator.free(b_fmt);
|
|
|
|
try testing.expect(mem.eql(u8, a_fmt, "(BigInt)"));
|
|
try testing.expect(!mem.eql(u8, b_fmt, "(BigInt)"));
|
|
}
|