const subo = @import("subo.zig"); const testing = @import("std").testing; fn test__subosi4(a: i32, b: i32) !void { var result_ov: c_int = undefined; var expected_ov: c_int = undefined; const result = subo.__subosi4(a, b, &result_ov); const expected: i32 = simple_subosi4(a, b, &expected_ov); try testing.expectEqual(expected, result); try testing.expectEqual(expected_ov, result_ov); } // 2 cases on evaluating `a-b`: // 1. `a-b` may underflow, iff b>0 && a<0 and a-b < min <=> a0 and a-b > max <=> a>max+b // `-b` evaluation may overflow, iff b==min, but this is handled by the hardware pub fn simple_subosi4(a: i32, b: i32, overflow: *c_int) i32 { overflow.* = 0; const min: i32 = -2147483648; const max: i32 = 2147483647; if (((b > 0) and (a < min + b)) or ((b < 0) and (a > max + b))) overflow.* = 1; return a -% b; } test "subosi3" { // -2^31 <= i32 <= 2^31-1 // 2^31 = 2147483648 // 2^31-1 = 2147483647 const min: i32 = -2147483648; const max: i32 = 2147483647; var i: i32 = 1; while (i < max) : (i *|= 2) { try test__subosi4(i, i); try test__subosi4(-i, -i); try test__subosi4(i, -i); try test__subosi4(-i, i); } // edge cases // 0 - 0 = 0 // MIN - MIN = 0 // MAX - MAX = 0 // 0 - MIN overflow // 0 - MAX = MIN+1 // MIN - 0 = MIN // MAX - 0 = MAX // MIN - MAX overflow // MAX - MIN overflow try test__subosi4(0, 0); try test__subosi4(min, min); try test__subosi4(max, max); try test__subosi4(0, min); try test__subosi4(0, max); try test__subosi4(min, 0); try test__subosi4(max, 0); try test__subosi4(min, max); try test__subosi4(max, min); // derived edge cases // MIN+1 - MIN = 1 // MAX-1 - MAX = -1 // 1 - MIN overflow // -1 - MIN = MAX // -1 - MAX = MIN // +1 - MAX = MIN+2 // MIN - 1 overflow // MIN - -1 = MIN+1 // MAX - 1 = MAX-1 // MAX - -1 overflow try test__subosi4(min + 1, min); try test__subosi4(max - 1, max); try test__subosi4(1, min); try test__subosi4(-1, min); try test__subosi4(-1, max); try test__subosi4(1, max); try test__subosi4(min, 1); try test__subosi4(min, -1); try test__subosi4(max, -1); try test__subosi4(max, 1); }