//! Ported from musl, which is licensed under the MIT license: //! https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT //! //! https://git.musl-libc.org/cgit/musl/tree/src/math/floorf.c //! https://git.musl-libc.org/cgit/musl/tree/src/math/floor.c const std = @import("std"); const builtin = @import("builtin"); const math = std.math; const expect = std.testing.expect; const arch = builtin.cpu.arch; const common = @import("common.zig"); pub const panic = common.panic; comptime { @export(__floorh, .{ .name = "__floorh", .linkage = common.linkage }); @export(floorf, .{ .name = "floorf", .linkage = common.linkage }); @export(floor, .{ .name = "floor", .linkage = common.linkage }); @export(__floorx, .{ .name = "__floorx", .linkage = common.linkage }); const floorq_sym_name = if (common.want_ppc_abi) "floorf128" else "floorq"; @export(floorq, .{ .name = floorq_sym_name, .linkage = common.linkage }); @export(floorl, .{ .name = "floorl", .linkage = common.linkage }); } pub fn __floorh(x: f16) callconv(.C) f16 { var u = @bitCast(u16, x); const e = @intCast(i16, (u >> 10) & 31) - 15; var m: u16 = undefined; // TODO: Shouldn't need this explicit check. if (x == 0.0) { return x; } if (e >= 10) { return x; } if (e >= 0) { m = @as(u16, 1023) >> @intCast(u4, e); if (u & m == 0) { return x; } math.doNotOptimizeAway(x + 0x1.0p120); if (u >> 15 != 0) { u += m; } return @bitCast(f16, u & ~m); } else { math.doNotOptimizeAway(x + 0x1.0p120); if (u >> 15 == 0) { return 0.0; } else { return -1.0; } } } pub fn floorf(x: f32) callconv(.C) f32 { var u = @bitCast(u32, x); const e = @intCast(i32, (u >> 23) & 0xFF) - 0x7F; var m: u32 = undefined; // TODO: Shouldn't need this explicit check. if (x == 0.0) { return x; } if (e >= 23) { return x; } if (e >= 0) { m = @as(u32, 0x007FFFFF) >> @intCast(u5, e); if (u & m == 0) { return x; } math.doNotOptimizeAway(x + 0x1.0p120); if (u >> 31 != 0) { u += m; } return @bitCast(f32, u & ~m); } else { math.doNotOptimizeAway(x + 0x1.0p120); if (u >> 31 == 0) { return 0.0; } else { return -1.0; } } } pub fn floor(x: f64) callconv(.C) f64 { const f64_toint = 1.0 / math.floatEps(f64); const u = @bitCast(u64, x); const e = (u >> 52) & 0x7FF; var y: f64 = undefined; if (e >= 0x3FF + 52 or x == 0) { return x; } if (u >> 63 != 0) { y = x - f64_toint + f64_toint - x; } else { y = x + f64_toint - f64_toint - x; } if (e <= 0x3FF - 1) { math.doNotOptimizeAway(y); if (u >> 63 != 0) { return -1.0; } else { return 0.0; } } else if (y > 0) { return x + y - 1; } else { return x + y; } } pub fn __floorx(x: f80) callconv(.C) f80 { // TODO: more efficient implementation return @floatCast(f80, floorq(x)); } pub fn floorq(x: f128) callconv(.C) f128 { const f128_toint = 1.0 / math.floatEps(f128); const u = @bitCast(u128, x); const e = (u >> 112) & 0x7FFF; var y: f128 = undefined; if (e >= 0x3FFF + 112 or x == 0) return x; if (u >> 127 != 0) { y = x - f128_toint + f128_toint - x; } else { y = x + f128_toint - f128_toint - x; } if (e <= 0x3FFF - 1) { math.doNotOptimizeAway(y); if (u >> 127 != 0) { return -1.0; } else { return 0.0; } } else if (y > 0) { return x + y - 1; } else { return x + y; } } pub fn floorl(x: c_longdouble) callconv(.C) c_longdouble { switch (@typeInfo(c_longdouble).Float.bits) { 16 => return __floorh(x), 32 => return floorf(x), 64 => return floor(x), 80 => return __floorx(x), 128 => return floorq(x), else => @compileError("unreachable"), } } test "floor16" { try expect(__floorh(1.3) == 1.0); try expect(__floorh(-1.3) == -2.0); try expect(__floorh(0.2) == 0.0); } test "floor32" { try expect(floorf(1.3) == 1.0); try expect(floorf(-1.3) == -2.0); try expect(floorf(0.2) == 0.0); } test "floor64" { try expect(floor(1.3) == 1.0); try expect(floor(-1.3) == -2.0); try expect(floor(0.2) == 0.0); } test "floor128" { try expect(floorq(1.3) == 1.0); try expect(floorq(-1.3) == -2.0); try expect(floorq(0.2) == 0.0); } test "floor16.special" { try expect(__floorh(0.0) == 0.0); try expect(__floorh(-0.0) == -0.0); try expect(math.isPositiveInf(__floorh(math.inf(f16)))); try expect(math.isNegativeInf(__floorh(-math.inf(f16)))); try expect(math.isNan(__floorh(math.nan(f16)))); } test "floor32.special" { try expect(floorf(0.0) == 0.0); try expect(floorf(-0.0) == -0.0); try expect(math.isPositiveInf(floorf(math.inf(f32)))); try expect(math.isNegativeInf(floorf(-math.inf(f32)))); try expect(math.isNan(floorf(math.nan(f32)))); } test "floor64.special" { try expect(floor(0.0) == 0.0); try expect(floor(-0.0) == -0.0); try expect(math.isPositiveInf(floor(math.inf(f64)))); try expect(math.isNegativeInf(floor(-math.inf(f64)))); try expect(math.isNan(floor(math.nan(f64)))); } test "floor128.special" { try expect(floorq(0.0) == 0.0); try expect(floorq(-0.0) == -0.0); try expect(math.isPositiveInf(floorq(math.inf(f128)))); try expect(math.isNegativeInf(floorq(-math.inf(f128)))); try expect(math.isNan(floorq(math.nan(f128)))); }