// SPDX-License-Identifier: MIT // Copyright (c) 2015-2020 Zig Contributors // This file is part of [zig](https://ziglang.org/), which is MIT licensed. // The MIT license requires this copyright notice to be included in all copies // and substantial portions of the software. // 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/ilogbf.c // https://git.musl-libc.org/cgit/musl/tree/src/math/ilogb.c const std = @import("../std.zig"); const math = std.math; const expect = std.testing.expect; const maxInt = std.math.maxInt; const minInt = std.math.minInt; /// Returns the binary exponent of x as an integer. /// /// Special Cases: /// - ilogb(+-inf) = maxInt(i32) /// - ilogb(0) = maxInt(i32) /// - ilogb(nan) = maxInt(i32) pub fn ilogb(x: anytype) i32 { const T = @TypeOf(x); return switch (T) { f32 => ilogb32(x), f64 => ilogb64(x), else => @compileError("ilogb not implemented for " ++ @typeName(T)), }; } // NOTE: Should these be exposed publicly? const fp_ilogbnan = -1 - @as(i32, maxInt(u32) >> 1); const fp_ilogb0 = fp_ilogbnan; fn ilogb32(x: f32) i32 { var u = @bitCast(u32, x); var e = @intCast(i32, (u >> 23) & 0xFF); // TODO: We should be able to merge this with the lower check. if (math.isNan(x)) { return maxInt(i32); } if (e == 0) { u <<= 9; if (u == 0) { math.raiseInvalid(); return fp_ilogb0; } // subnormal e = -0x7F; while (u >> 31 == 0) : (u <<= 1) { e -= 1; } return e; } if (e == 0xFF) { math.raiseInvalid(); if (u << 9 != 0) { return fp_ilogbnan; } else { return maxInt(i32); } } return e - 0x7F; } fn ilogb64(x: f64) i32 { var u = @bitCast(u64, x); var e = @intCast(i32, (u >> 52) & 0x7FF); if (math.isNan(x)) { return maxInt(i32); } if (e == 0) { u <<= 12; if (u == 0) { math.raiseInvalid(); return fp_ilogb0; } // subnormal e = -0x3FF; while (u >> 63 == 0) : (u <<= 1) { e -= 1; } return e; } if (e == 0x7FF) { math.raiseInvalid(); if (u << 12 != 0) { return fp_ilogbnan; } else { return maxInt(i32); } } return e - 0x3FF; } test "math.ilogb" { expect(ilogb(@as(f32, 0.2)) == ilogb32(0.2)); expect(ilogb(@as(f64, 0.2)) == ilogb64(0.2)); } test "math.ilogb32" { expect(ilogb32(0.0) == fp_ilogb0); expect(ilogb32(0.5) == -1); expect(ilogb32(0.8923) == -1); expect(ilogb32(10.0) == 3); expect(ilogb32(-123984) == 16); expect(ilogb32(2398.23) == 11); } test "math.ilogb64" { expect(ilogb64(0.0) == fp_ilogb0); expect(ilogb64(0.5) == -1); expect(ilogb64(0.8923) == -1); expect(ilogb64(10.0) == 3); expect(ilogb64(-123984) == 16); expect(ilogb64(2398.23) == 11); } test "math.ilogb32.special" { expect(ilogb32(math.inf(f32)) == maxInt(i32)); expect(ilogb32(-math.inf(f32)) == maxInt(i32)); expect(ilogb32(0.0) == minInt(i32)); expect(ilogb32(math.nan(f32)) == maxInt(i32)); } test "math.ilogb64.special" { expect(ilogb64(math.inf(f64)) == maxInt(i32)); expect(ilogb64(-math.inf(f64)) == maxInt(i32)); expect(ilogb64(0.0) == minInt(i32)); expect(ilogb64(math.nan(f64)) == maxInt(i32)); }