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