//! Builtin functions that operate on integer types const builtin = @import("builtin"); const std = @import("std"); const testing = std.testing; const maxInt = std.math.maxInt; const minInt = std.math.minInt; const arch = builtin.cpu.arch; const is_test = builtin.is_test; const common = @import("common.zig"); const udivmod = @import("udivmod.zig").udivmod; pub const panic = common.panic; comptime { @export(__udivmoddi4, .{ .name = "__udivmoddi4", .linkage = common.linkage }); @export(__mulsi3, .{ .name = "__mulsi3", .linkage = common.linkage }); @export(__divmoddi4, .{ .name = "__divmoddi4", .linkage = common.linkage }); if (common.want_aeabi) { @export(__aeabi_idiv, .{ .name = "__aeabi_idiv", .linkage = common.linkage }); @export(__aeabi_uidiv, .{ .name = "__aeabi_uidiv", .linkage = common.linkage }); } else { @export(__divsi3, .{ .name = "__divsi3", .linkage = common.linkage }); @export(__udivsi3, .{ .name = "__udivsi3", .linkage = common.linkage }); } @export(__divdi3, .{ .name = "__divdi3", .linkage = common.linkage }); @export(__udivdi3, .{ .name = "__udivdi3", .linkage = common.linkage }); @export(__modsi3, .{ .name = "__modsi3", .linkage = common.linkage }); @export(__moddi3, .{ .name = "__moddi3", .linkage = common.linkage }); @export(__umodsi3, .{ .name = "__umodsi3", .linkage = common.linkage }); @export(__umoddi3, .{ .name = "__umoddi3", .linkage = common.linkage }); @export(__divmodsi4, .{ .name = "__divmodsi4", .linkage = common.linkage }); @export(__udivmodsi4, .{ .name = "__udivmodsi4", .linkage = common.linkage }); } pub fn __divmoddi4(a: i64, b: i64, rem: *i64) callconv(.C) i64 { const d = __divdi3(a, b); rem.* = a -% (d *% b); return d; } pub fn __udivmoddi4(a: u64, b: u64, maybe_rem: ?*u64) callconv(.C) u64 { return udivmod(u64, a, b, maybe_rem); } test "test_udivmoddi4" { _ = @import("udivmoddi4_test.zig"); } pub fn __divdi3(a: i64, b: i64) callconv(.C) i64 { // Set aside the sign of the quotient. const sign = @bitCast(u64, (a ^ b) >> 63); // Take absolute value of a and b via abs(x) = (x^(x >> 63)) - (x >> 63). const abs_a = (a ^ (a >> 63)) -% (a >> 63); const abs_b = (b ^ (b >> 63)) -% (b >> 63); // Unsigned division const res = __udivmoddi4(@bitCast(u64, abs_a), @bitCast(u64, abs_b), null); // Apply sign of quotient to result and return. return @bitCast(i64, (res ^ sign) -% sign); } test "test_divdi3" { const cases = [_][3]i64{ [_]i64{ 0, 1, 0 }, [_]i64{ 0, -1, 0 }, [_]i64{ 2, 1, 2 }, [_]i64{ 2, -1, -2 }, [_]i64{ -2, 1, -2 }, [_]i64{ -2, -1, 2 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), 1, @bitCast(i64, @as(u64, 0x8000000000000000)) }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), -1, @bitCast(i64, @as(u64, 0x8000000000000000)) }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), -2, 0x4000000000000000 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), 2, @bitCast(i64, @as(u64, 0xC000000000000000)) }, }; for (cases) |case| { try test_one_divdi3(case[0], case[1], case[2]); } } fn test_one_divdi3(a: i64, b: i64, expected_q: i64) !void { const q: i64 = __divdi3(a, b); try testing.expect(q == expected_q); } pub fn __moddi3(a: i64, b: i64) callconv(.C) i64 { // Take absolute value of a and b via abs(x) = (x^(x >> 63)) - (x >> 63). const abs_a = (a ^ (a >> 63)) -% (a >> 63); const abs_b = (b ^ (b >> 63)) -% (b >> 63); // Unsigned division var r: u64 = undefined; _ = __udivmoddi4(@bitCast(u64, abs_a), @bitCast(u64, abs_b), &r); // Apply the sign of the dividend and return. return (@bitCast(i64, r) ^ (a >> 63)) -% (a >> 63); } test "test_moddi3" { const cases = [_][3]i64{ [_]i64{ 0, 1, 0 }, [_]i64{ 0, -1, 0 }, [_]i64{ 5, 3, 2 }, [_]i64{ 5, -3, 2 }, [_]i64{ -5, 3, -2 }, [_]i64{ -5, -3, -2 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), 1, 0 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), -1, 0 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), 2, 0 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), -2, 0 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), 3, -2 }, [_]i64{ @bitCast(i64, @as(u64, 0x8000000000000000)), -3, -2 }, }; for (cases) |case| { try test_one_moddi3(case[0], case[1], case[2]); } } fn test_one_moddi3(a: i64, b: i64, expected_r: i64) !void { const r: i64 = __moddi3(a, b); try testing.expect(r == expected_r); } pub fn __udivdi3(a: u64, b: u64) callconv(.C) u64 { return __udivmoddi4(a, b, null); } pub fn __umoddi3(a: u64, b: u64) callconv(.C) u64 { var r: u64 = undefined; _ = __udivmoddi4(a, b, &r); return r; } test "test_umoddi3" { try test_one_umoddi3(0, 1, 0); try test_one_umoddi3(2, 1, 0); try test_one_umoddi3(0x8000000000000000, 1, 0x0); try test_one_umoddi3(0x8000000000000000, 2, 0x0); try test_one_umoddi3(0xFFFFFFFFFFFFFFFF, 2, 0x1); } fn test_one_umoddi3(a: u64, b: u64, expected_r: u64) !void { const r = __umoddi3(a, b); try testing.expect(r == expected_r); } pub fn __divmodsi4(a: i32, b: i32, rem: *i32) callconv(.C) i32 { const d = __divsi3(a, b); rem.* = a -% (d * b); return d; } test "test_divmodsi4" { const cases = [_][4]i32{ [_]i32{ 0, 1, 0, 0 }, [_]i32{ 0, -1, 0, 0 }, [_]i32{ 2, 1, 2, 0 }, [_]i32{ 2, -1, -2, 0 }, [_]i32{ -2, 1, -2, 0 }, [_]i32{ -2, -1, 2, 0 }, [_]i32{ 7, 5, 1, 2 }, [_]i32{ -7, 5, -1, -2 }, [_]i32{ 19, 5, 3, 4 }, [_]i32{ 19, -5, -3, 4 }, [_]i32{ @bitCast(i32, @as(u32, 0x80000000)), 8, @bitCast(i32, @as(u32, 0xf0000000)), 0 }, [_]i32{ @bitCast(i32, @as(u32, 0x80000007)), 8, @bitCast(i32, @as(u32, 0xf0000001)), -1 }, }; for (cases) |case| { try test_one_divmodsi4(case[0], case[1], case[2], case[3]); } } fn test_one_divmodsi4(a: i32, b: i32, expected_q: i32, expected_r: i32) !void { var r: i32 = undefined; const q: i32 = __divmodsi4(a, b, &r); try testing.expect(q == expected_q and r == expected_r); } pub fn __udivmodsi4(a: u32, b: u32, rem: *u32) callconv(.C) u32 { const d = __udivsi3(a, b); rem.* = @bitCast(u32, @bitCast(i32, a) -% (@bitCast(i32, d) * @bitCast(i32, b))); return d; } pub fn __divsi3(n: i32, d: i32) callconv(.C) i32 { return div_i32(n, d); } fn __aeabi_idiv(n: i32, d: i32) callconv(.AAPCS) i32 { return div_i32(n, d); } inline fn div_i32(n: i32, d: i32) i32 { // Set aside the sign of the quotient. const sign = @bitCast(u32, (n ^ d) >> 31); // Take absolute value of a and b via abs(x) = (x^(x >> 31)) - (x >> 31). const abs_n = (n ^ (n >> 31)) -% (n >> 31); const abs_d = (d ^ (d >> 31)) -% (d >> 31); // abs(a) / abs(b) const res = @bitCast(u32, abs_n) / @bitCast(u32, abs_d); // Apply sign of quotient to result and return. return @bitCast(i32, (res ^ sign) -% sign); } test "test_divsi3" { const cases = [_][3]i32{ [_]i32{ 0, 1, 0 }, [_]i32{ 0, -1, 0 }, [_]i32{ 2, 1, 2 }, [_]i32{ 2, -1, -2 }, [_]i32{ -2, 1, -2 }, [_]i32{ -2, -1, 2 }, [_]i32{ @bitCast(i32, @as(u32, 0x80000000)), 1, @bitCast(i32, @as(u32, 0x80000000)) }, [_]i32{ @bitCast(i32, @as(u32, 0x80000000)), -1, @bitCast(i32, @as(u32, 0x80000000)) }, [_]i32{ @bitCast(i32, @as(u32, 0x80000000)), -2, 0x40000000 }, [_]i32{ @bitCast(i32, @as(u32, 0x80000000)), 2, @bitCast(i32, @as(u32, 0xC0000000)) }, }; for (cases) |case| { try test_one_divsi3(case[0], case[1], case[2]); } } fn test_one_divsi3(a: i32, b: i32, expected_q: i32) !void { const q: i32 = __divsi3(a, b); try testing.expect(q == expected_q); } pub fn __udivsi3(n: u32, d: u32) callconv(.C) u32 { return div_u32(n, d); } fn __aeabi_uidiv(n: u32, d: u32) callconv(.AAPCS) u32 { return div_u32(n, d); } inline fn div_u32(n: u32, d: u32) u32 { const n_uword_bits: c_uint = 32; // special cases if (d == 0) return 0; // ?! if (n == 0) return 0; var sr = @bitCast(c_uint, @as(c_int, @clz(u32, d)) - @as(c_int, @clz(u32, n))); // 0 <= sr <= n_uword_bits - 1 or sr large if (sr > n_uword_bits - 1) { // d > r return 0; } if (sr == n_uword_bits - 1) { // d == 1 return n; } sr += 1; // 1 <= sr <= n_uword_bits - 1 // Not a special case var q: u32 = n << @intCast(u5, n_uword_bits - sr); var r: u32 = n >> @intCast(u5, sr); var carry: u32 = 0; while (sr > 0) : (sr -= 1) { // r:q = ((r:q) << 1) | carry r = (r << 1) | (q >> @intCast(u5, n_uword_bits - 1)); q = (q << 1) | carry; // carry = 0; // if (r.all >= d.all) // { // r.all -= d.all; // carry = 1; // } const s = @bitCast(i32, d -% r -% 1) >> @intCast(u5, n_uword_bits - 1); carry = @intCast(u32, s & 1); r -= d & @bitCast(u32, s); } q = (q << 1) | carry; return q; } test "test_udivsi3" { const cases = [_][3]u32{ [_]u32{ 0x00000000, 0x00000001, 0x00000000 }, [_]u32{ 0x00000000, 0x00000002, 0x00000000 }, [_]u32{ 0x00000000, 0x00000003, 0x00000000 }, [_]u32{ 0x00000000, 0x00000010, 0x00000000 }, [_]u32{ 0x00000000, 0x078644FA, 0x00000000 }, [_]u32{ 0x00000000, 0x0747AE14, 0x00000000 }, [_]u32{ 0x00000000, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x00000000, 0x80000000, 0x00000000 }, [_]u32{ 0x00000000, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x00000000, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x00000000, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x00000001, 0x00000001, 0x00000001 }, [_]u32{ 0x00000001, 0x00000002, 0x00000000 }, [_]u32{ 0x00000001, 0x00000003, 0x00000000 }, [_]u32{ 0x00000001, 0x00000010, 0x00000000 }, [_]u32{ 0x00000001, 0x078644FA, 0x00000000 }, [_]u32{ 0x00000001, 0x0747AE14, 0x00000000 }, [_]u32{ 0x00000001, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x00000001, 0x80000000, 0x00000000 }, [_]u32{ 0x00000001, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x00000001, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x00000001, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x00000002, 0x00000001, 0x00000002 }, [_]u32{ 0x00000002, 0x00000002, 0x00000001 }, [_]u32{ 0x00000002, 0x00000003, 0x00000000 }, [_]u32{ 0x00000002, 0x00000010, 0x00000000 }, [_]u32{ 0x00000002, 0x078644FA, 0x00000000 }, [_]u32{ 0x00000002, 0x0747AE14, 0x00000000 }, [_]u32{ 0x00000002, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x00000002, 0x80000000, 0x00000000 }, [_]u32{ 0x00000002, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x00000002, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x00000002, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x00000003, 0x00000001, 0x00000003 }, [_]u32{ 0x00000003, 0x00000002, 0x00000001 }, [_]u32{ 0x00000003, 0x00000003, 0x00000001 }, [_]u32{ 0x00000003, 0x00000010, 0x00000000 }, [_]u32{ 0x00000003, 0x078644FA, 0x00000000 }, [_]u32{ 0x00000003, 0x0747AE14, 0x00000000 }, [_]u32{ 0x00000003, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x00000003, 0x80000000, 0x00000000 }, [_]u32{ 0x00000003, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x00000003, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x00000003, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x00000010, 0x00000001, 0x00000010 }, [_]u32{ 0x00000010, 0x00000002, 0x00000008 }, [_]u32{ 0x00000010, 0x00000003, 0x00000005 }, [_]u32{ 0x00000010, 0x00000010, 0x00000001 }, [_]u32{ 0x00000010, 0x078644FA, 0x00000000 }, [_]u32{ 0x00000010, 0x0747AE14, 0x00000000 }, [_]u32{ 0x00000010, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x00000010, 0x80000000, 0x00000000 }, [_]u32{ 0x00000010, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x00000010, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x00000010, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x078644FA, 0x00000001, 0x078644FA }, [_]u32{ 0x078644FA, 0x00000002, 0x03C3227D }, [_]u32{ 0x078644FA, 0x00000003, 0x028216FE }, [_]u32{ 0x078644FA, 0x00000010, 0x0078644F }, [_]u32{ 0x078644FA, 0x078644FA, 0x00000001 }, [_]u32{ 0x078644FA, 0x0747AE14, 0x00000001 }, [_]u32{ 0x078644FA, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x078644FA, 0x80000000, 0x00000000 }, [_]u32{ 0x078644FA, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x078644FA, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x078644FA, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x0747AE14, 0x00000001, 0x0747AE14 }, [_]u32{ 0x0747AE14, 0x00000002, 0x03A3D70A }, [_]u32{ 0x0747AE14, 0x00000003, 0x026D3A06 }, [_]u32{ 0x0747AE14, 0x00000010, 0x00747AE1 }, [_]u32{ 0x0747AE14, 0x078644FA, 0x00000000 }, [_]u32{ 0x0747AE14, 0x0747AE14, 0x00000001 }, [_]u32{ 0x0747AE14, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x0747AE14, 0x80000000, 0x00000000 }, [_]u32{ 0x0747AE14, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x0747AE14, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x0747AE14, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x7FFFFFFF, 0x00000001, 0x7FFFFFFF }, [_]u32{ 0x7FFFFFFF, 0x00000002, 0x3FFFFFFF }, [_]u32{ 0x7FFFFFFF, 0x00000003, 0x2AAAAAAA }, [_]u32{ 0x7FFFFFFF, 0x00000010, 0x07FFFFFF }, [_]u32{ 0x7FFFFFFF, 0x078644FA, 0x00000011 }, [_]u32{ 0x7FFFFFFF, 0x0747AE14, 0x00000011 }, [_]u32{ 0x7FFFFFFF, 0x7FFFFFFF, 0x00000001 }, [_]u32{ 0x7FFFFFFF, 0x80000000, 0x00000000 }, [_]u32{ 0x7FFFFFFF, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x7FFFFFFF, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x7FFFFFFF, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x80000000, 0x00000001, 0x80000000 }, [_]u32{ 0x80000000, 0x00000002, 0x40000000 }, [_]u32{ 0x80000000, 0x00000003, 0x2AAAAAAA }, [_]u32{ 0x80000000, 0x00000010, 0x08000000 }, [_]u32{ 0x80000000, 0x078644FA, 0x00000011 }, [_]u32{ 0x80000000, 0x0747AE14, 0x00000011 }, [_]u32{ 0x80000000, 0x7FFFFFFF, 0x00000001 }, [_]u32{ 0x80000000, 0x80000000, 0x00000001 }, [_]u32{ 0x80000000, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x80000000, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x80000000, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0xFFFFFFFD, 0x00000001, 0xFFFFFFFD }, [_]u32{ 0xFFFFFFFD, 0x00000002, 0x7FFFFFFE }, [_]u32{ 0xFFFFFFFD, 0x00000003, 0x55555554 }, [_]u32{ 0xFFFFFFFD, 0x00000010, 0x0FFFFFFF }, [_]u32{ 0xFFFFFFFD, 0x078644FA, 0x00000022 }, [_]u32{ 0xFFFFFFFD, 0x0747AE14, 0x00000023 }, [_]u32{ 0xFFFFFFFD, 0x7FFFFFFF, 0x00000001 }, [_]u32{ 0xFFFFFFFD, 0x80000000, 0x00000001 }, [_]u32{ 0xFFFFFFFD, 0xFFFFFFFD, 0x00000001 }, [_]u32{ 0xFFFFFFFD, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0xFFFFFFFD, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0xFFFFFFFE, 0x00000001, 0xFFFFFFFE }, [_]u32{ 0xFFFFFFFE, 0x00000002, 0x7FFFFFFF }, [_]u32{ 0xFFFFFFFE, 0x00000003, 0x55555554 }, [_]u32{ 0xFFFFFFFE, 0x00000010, 0x0FFFFFFF }, [_]u32{ 0xFFFFFFFE, 0x078644FA, 0x00000022 }, [_]u32{ 0xFFFFFFFE, 0x0747AE14, 0x00000023 }, [_]u32{ 0xFFFFFFFE, 0x7FFFFFFF, 0x00000002 }, [_]u32{ 0xFFFFFFFE, 0x80000000, 0x00000001 }, [_]u32{ 0xFFFFFFFE, 0xFFFFFFFD, 0x00000001 }, [_]u32{ 0xFFFFFFFE, 0xFFFFFFFE, 0x00000001 }, [_]u32{ 0xFFFFFFFE, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0xFFFFFFFF, 0x00000001, 0xFFFFFFFF }, [_]u32{ 0xFFFFFFFF, 0x00000002, 0x7FFFFFFF }, [_]u32{ 0xFFFFFFFF, 0x00000003, 0x55555555 }, [_]u32{ 0xFFFFFFFF, 0x00000010, 0x0FFFFFFF }, [_]u32{ 0xFFFFFFFF, 0x078644FA, 0x00000022 }, [_]u32{ 0xFFFFFFFF, 0x0747AE14, 0x00000023 }, [_]u32{ 0xFFFFFFFF, 0x7FFFFFFF, 0x00000002 }, [_]u32{ 0xFFFFFFFF, 0x80000000, 0x00000001 }, [_]u32{ 0xFFFFFFFF, 0xFFFFFFFD, 0x00000001 }, [_]u32{ 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001 }, [_]u32{ 0xFFFFFFFF, 0xFFFFFFFF, 0x00000001 }, }; for (cases) |case| { try test_one_udivsi3(case[0], case[1], case[2]); } } fn test_one_udivsi3(a: u32, b: u32, expected_q: u32) !void { const q: u32 = __udivsi3(a, b); try testing.expect(q == expected_q); } pub fn __modsi3(n: i32, d: i32) callconv(.C) i32 { return n -% __divsi3(n, d) *% d; } test "test_modsi3" { const cases = [_][3]i32{ [_]i32{ 0, 1, 0 }, [_]i32{ 0, -1, 0 }, [_]i32{ 5, 3, 2 }, [_]i32{ 5, -3, 2 }, [_]i32{ -5, 3, -2 }, [_]i32{ -5, -3, -2 }, [_]i32{ @bitCast(i32, @intCast(u32, 0x80000000)), 1, 0x0 }, [_]i32{ @bitCast(i32, @intCast(u32, 0x80000000)), 2, 0x0 }, [_]i32{ @bitCast(i32, @intCast(u32, 0x80000000)), -2, 0x0 }, [_]i32{ @bitCast(i32, @intCast(u32, 0x80000000)), 3, -2 }, [_]i32{ @bitCast(i32, @intCast(u32, 0x80000000)), -3, -2 }, }; for (cases) |case| { try test_one_modsi3(case[0], case[1], case[2]); } } fn test_one_modsi3(a: i32, b: i32, expected_r: i32) !void { const r: i32 = __modsi3(a, b); try testing.expect(r == expected_r); } pub fn __umodsi3(n: u32, d: u32) callconv(.C) u32 { return n -% __udivsi3(n, d) *% d; } test "test_umodsi3" { const cases = [_][3]u32{ [_]u32{ 0x00000000, 0x00000001, 0x00000000 }, [_]u32{ 0x00000000, 0x00000002, 0x00000000 }, [_]u32{ 0x00000000, 0x00000003, 0x00000000 }, [_]u32{ 0x00000000, 0x00000010, 0x00000000 }, [_]u32{ 0x00000000, 0x078644FA, 0x00000000 }, [_]u32{ 0x00000000, 0x0747AE14, 0x00000000 }, [_]u32{ 0x00000000, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x00000000, 0x80000000, 0x00000000 }, [_]u32{ 0x00000000, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0x00000000, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0x00000000, 0xFFFFFFFF, 0x00000000 }, [_]u32{ 0x00000001, 0x00000001, 0x00000000 }, [_]u32{ 0x00000001, 0x00000002, 0x00000001 }, [_]u32{ 0x00000001, 0x00000003, 0x00000001 }, [_]u32{ 0x00000001, 0x00000010, 0x00000001 }, [_]u32{ 0x00000001, 0x078644FA, 0x00000001 }, [_]u32{ 0x00000001, 0x0747AE14, 0x00000001 }, [_]u32{ 0x00000001, 0x7FFFFFFF, 0x00000001 }, [_]u32{ 0x00000001, 0x80000000, 0x00000001 }, [_]u32{ 0x00000001, 0xFFFFFFFD, 0x00000001 }, [_]u32{ 0x00000001, 0xFFFFFFFE, 0x00000001 }, [_]u32{ 0x00000001, 0xFFFFFFFF, 0x00000001 }, [_]u32{ 0x00000002, 0x00000001, 0x00000000 }, [_]u32{ 0x00000002, 0x00000002, 0x00000000 }, [_]u32{ 0x00000002, 0x00000003, 0x00000002 }, [_]u32{ 0x00000002, 0x00000010, 0x00000002 }, [_]u32{ 0x00000002, 0x078644FA, 0x00000002 }, [_]u32{ 0x00000002, 0x0747AE14, 0x00000002 }, [_]u32{ 0x00000002, 0x7FFFFFFF, 0x00000002 }, [_]u32{ 0x00000002, 0x80000000, 0x00000002 }, [_]u32{ 0x00000002, 0xFFFFFFFD, 0x00000002 }, [_]u32{ 0x00000002, 0xFFFFFFFE, 0x00000002 }, [_]u32{ 0x00000002, 0xFFFFFFFF, 0x00000002 }, [_]u32{ 0x00000003, 0x00000001, 0x00000000 }, [_]u32{ 0x00000003, 0x00000002, 0x00000001 }, [_]u32{ 0x00000003, 0x00000003, 0x00000000 }, [_]u32{ 0x00000003, 0x00000010, 0x00000003 }, [_]u32{ 0x00000003, 0x078644FA, 0x00000003 }, [_]u32{ 0x00000003, 0x0747AE14, 0x00000003 }, [_]u32{ 0x00000003, 0x7FFFFFFF, 0x00000003 }, [_]u32{ 0x00000003, 0x80000000, 0x00000003 }, [_]u32{ 0x00000003, 0xFFFFFFFD, 0x00000003 }, [_]u32{ 0x00000003, 0xFFFFFFFE, 0x00000003 }, [_]u32{ 0x00000003, 0xFFFFFFFF, 0x00000003 }, [_]u32{ 0x00000010, 0x00000001, 0x00000000 }, [_]u32{ 0x00000010, 0x00000002, 0x00000000 }, [_]u32{ 0x00000010, 0x00000003, 0x00000001 }, [_]u32{ 0x00000010, 0x00000010, 0x00000000 }, [_]u32{ 0x00000010, 0x078644FA, 0x00000010 }, [_]u32{ 0x00000010, 0x0747AE14, 0x00000010 }, [_]u32{ 0x00000010, 0x7FFFFFFF, 0x00000010 }, [_]u32{ 0x00000010, 0x80000000, 0x00000010 }, [_]u32{ 0x00000010, 0xFFFFFFFD, 0x00000010 }, [_]u32{ 0x00000010, 0xFFFFFFFE, 0x00000010 }, [_]u32{ 0x00000010, 0xFFFFFFFF, 0x00000010 }, [_]u32{ 0x078644FA, 0x00000001, 0x00000000 }, [_]u32{ 0x078644FA, 0x00000002, 0x00000000 }, [_]u32{ 0x078644FA, 0x00000003, 0x00000000 }, [_]u32{ 0x078644FA, 0x00000010, 0x0000000A }, [_]u32{ 0x078644FA, 0x078644FA, 0x00000000 }, [_]u32{ 0x078644FA, 0x0747AE14, 0x003E96E6 }, [_]u32{ 0x078644FA, 0x7FFFFFFF, 0x078644FA }, [_]u32{ 0x078644FA, 0x80000000, 0x078644FA }, [_]u32{ 0x078644FA, 0xFFFFFFFD, 0x078644FA }, [_]u32{ 0x078644FA, 0xFFFFFFFE, 0x078644FA }, [_]u32{ 0x078644FA, 0xFFFFFFFF, 0x078644FA }, [_]u32{ 0x0747AE14, 0x00000001, 0x00000000 }, [_]u32{ 0x0747AE14, 0x00000002, 0x00000000 }, [_]u32{ 0x0747AE14, 0x00000003, 0x00000002 }, [_]u32{ 0x0747AE14, 0x00000010, 0x00000004 }, [_]u32{ 0x0747AE14, 0x078644FA, 0x0747AE14 }, [_]u32{ 0x0747AE14, 0x0747AE14, 0x00000000 }, [_]u32{ 0x0747AE14, 0x7FFFFFFF, 0x0747AE14 }, [_]u32{ 0x0747AE14, 0x80000000, 0x0747AE14 }, [_]u32{ 0x0747AE14, 0xFFFFFFFD, 0x0747AE14 }, [_]u32{ 0x0747AE14, 0xFFFFFFFE, 0x0747AE14 }, [_]u32{ 0x0747AE14, 0xFFFFFFFF, 0x0747AE14 }, [_]u32{ 0x7FFFFFFF, 0x00000001, 0x00000000 }, [_]u32{ 0x7FFFFFFF, 0x00000002, 0x00000001 }, [_]u32{ 0x7FFFFFFF, 0x00000003, 0x00000001 }, [_]u32{ 0x7FFFFFFF, 0x00000010, 0x0000000F }, [_]u32{ 0x7FFFFFFF, 0x078644FA, 0x00156B65 }, [_]u32{ 0x7FFFFFFF, 0x0747AE14, 0x043D70AB }, [_]u32{ 0x7FFFFFFF, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0x7FFFFFFF, 0x80000000, 0x7FFFFFFF }, [_]u32{ 0x7FFFFFFF, 0xFFFFFFFD, 0x7FFFFFFF }, [_]u32{ 0x7FFFFFFF, 0xFFFFFFFE, 0x7FFFFFFF }, [_]u32{ 0x7FFFFFFF, 0xFFFFFFFF, 0x7FFFFFFF }, [_]u32{ 0x80000000, 0x00000001, 0x00000000 }, [_]u32{ 0x80000000, 0x00000002, 0x00000000 }, [_]u32{ 0x80000000, 0x00000003, 0x00000002 }, [_]u32{ 0x80000000, 0x00000010, 0x00000000 }, [_]u32{ 0x80000000, 0x078644FA, 0x00156B66 }, [_]u32{ 0x80000000, 0x0747AE14, 0x043D70AC }, [_]u32{ 0x80000000, 0x7FFFFFFF, 0x00000001 }, [_]u32{ 0x80000000, 0x80000000, 0x00000000 }, [_]u32{ 0x80000000, 0xFFFFFFFD, 0x80000000 }, [_]u32{ 0x80000000, 0xFFFFFFFE, 0x80000000 }, [_]u32{ 0x80000000, 0xFFFFFFFF, 0x80000000 }, [_]u32{ 0xFFFFFFFD, 0x00000001, 0x00000000 }, [_]u32{ 0xFFFFFFFD, 0x00000002, 0x00000001 }, [_]u32{ 0xFFFFFFFD, 0x00000003, 0x00000001 }, [_]u32{ 0xFFFFFFFD, 0x00000010, 0x0000000D }, [_]u32{ 0xFFFFFFFD, 0x078644FA, 0x002AD6C9 }, [_]u32{ 0xFFFFFFFD, 0x0747AE14, 0x01333341 }, [_]u32{ 0xFFFFFFFD, 0x7FFFFFFF, 0x7FFFFFFE }, [_]u32{ 0xFFFFFFFD, 0x80000000, 0x7FFFFFFD }, [_]u32{ 0xFFFFFFFD, 0xFFFFFFFD, 0x00000000 }, [_]u32{ 0xFFFFFFFD, 0xFFFFFFFE, 0xFFFFFFFD }, [_]u32{ 0xFFFFFFFD, 0xFFFFFFFF, 0xFFFFFFFD }, [_]u32{ 0xFFFFFFFE, 0x00000001, 0x00000000 }, [_]u32{ 0xFFFFFFFE, 0x00000002, 0x00000000 }, [_]u32{ 0xFFFFFFFE, 0x00000003, 0x00000002 }, [_]u32{ 0xFFFFFFFE, 0x00000010, 0x0000000E }, [_]u32{ 0xFFFFFFFE, 0x078644FA, 0x002AD6CA }, [_]u32{ 0xFFFFFFFE, 0x0747AE14, 0x01333342 }, [_]u32{ 0xFFFFFFFE, 0x7FFFFFFF, 0x00000000 }, [_]u32{ 0xFFFFFFFE, 0x80000000, 0x7FFFFFFE }, [_]u32{ 0xFFFFFFFE, 0xFFFFFFFD, 0x00000001 }, [_]u32{ 0xFFFFFFFE, 0xFFFFFFFE, 0x00000000 }, [_]u32{ 0xFFFFFFFE, 0xFFFFFFFF, 0xFFFFFFFE }, [_]u32{ 0xFFFFFFFF, 0x00000001, 0x00000000 }, [_]u32{ 0xFFFFFFFF, 0x00000002, 0x00000001 }, [_]u32{ 0xFFFFFFFF, 0x00000003, 0x00000000 }, [_]u32{ 0xFFFFFFFF, 0x00000010, 0x0000000F }, [_]u32{ 0xFFFFFFFF, 0x078644FA, 0x002AD6CB }, [_]u32{ 0xFFFFFFFF, 0x0747AE14, 0x01333343 }, [_]u32{ 0xFFFFFFFF, 0x7FFFFFFF, 0x00000001 }, [_]u32{ 0xFFFFFFFF, 0x80000000, 0x7FFFFFFF }, [_]u32{ 0xFFFFFFFF, 0xFFFFFFFD, 0x00000002 }, [_]u32{ 0xFFFFFFFF, 0xFFFFFFFE, 0x00000001 }, [_]u32{ 0xFFFFFFFF, 0xFFFFFFFF, 0x00000000 }, }; for (cases) |case| { try test_one_umodsi3(case[0], case[1], case[2]); } } fn test_one_umodsi3(a: u32, b: u32, expected_r: u32) !void { const r: u32 = __umodsi3(a, b); try testing.expect(r == expected_r); } pub fn __mulsi3(a: i32, b: i32) callconv(.C) i32 { var ua = @bitCast(u32, a); var ub = @bitCast(u32, b); var r: u32 = 0; while (ua > 0) { if ((ua & 1) != 0) r +%= ub; ua >>= 1; ub <<= 1; } return @bitCast(i32, r); } fn test_one_mulsi3(a: i32, b: i32, result: i32) !void { try testing.expectEqual(result, __mulsi3(a, b)); } test "mulsi3" { try test_one_mulsi3(0, 0, 0); try test_one_mulsi3(0, 1, 0); try test_one_mulsi3(1, 0, 0); try test_one_mulsi3(0, 10, 0); try test_one_mulsi3(10, 0, 0); try test_one_mulsi3(0, maxInt(i32), 0); try test_one_mulsi3(maxInt(i32), 0, 0); try test_one_mulsi3(0, -1, 0); try test_one_mulsi3(-1, 0, 0); try test_one_mulsi3(0, -10, 0); try test_one_mulsi3(-10, 0, 0); try test_one_mulsi3(0, minInt(i32), 0); try test_one_mulsi3(minInt(i32), 0, 0); try test_one_mulsi3(1, 1, 1); try test_one_mulsi3(1, 10, 10); try test_one_mulsi3(10, 1, 10); try test_one_mulsi3(1, maxInt(i32), maxInt(i32)); try test_one_mulsi3(maxInt(i32), 1, maxInt(i32)); try test_one_mulsi3(1, -1, -1); try test_one_mulsi3(1, -10, -10); try test_one_mulsi3(-10, 1, -10); try test_one_mulsi3(1, minInt(i32), minInt(i32)); try test_one_mulsi3(minInt(i32), 1, minInt(i32)); try test_one_mulsi3(46340, 46340, 2147395600); try test_one_mulsi3(-46340, 46340, -2147395600); try test_one_mulsi3(46340, -46340, -2147395600); try test_one_mulsi3(-46340, -46340, 2147395600); try test_one_mulsi3(4194303, 8192, @truncate(i32, 34359730176)); try test_one_mulsi3(-4194303, 8192, @truncate(i32, -34359730176)); try test_one_mulsi3(4194303, -8192, @truncate(i32, -34359730176)); try test_one_mulsi3(-4194303, -8192, @truncate(i32, 34359730176)); try test_one_mulsi3(8192, 4194303, @truncate(i32, 34359730176)); try test_one_mulsi3(-8192, 4194303, @truncate(i32, -34359730176)); try test_one_mulsi3(8192, -4194303, @truncate(i32, -34359730176)); try test_one_mulsi3(-8192, -4194303, @truncate(i32, 34359730176)); }