// 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. const builtin = @import("builtin"); const std = @import("std"); const maxInt = std.math.maxInt; const FLT_MANT_DIG = 24; fn __floatXisf(comptime T: type, arg: T) f32 { @setRuntimeSafety(builtin.is_test); const bits = @typeInfo(T).Int.bits; const Z = std.meta.Int(.unsigned, bits); const S = std.meta.Int(.unsigned, bits - @clz(Z, @as(Z, bits) - 1)); if (arg == 0) { return @as(f32, 0.0); } var ai = arg; const N: u32 = bits; const si = ai >> @intCast(S, (N - 1)); ai = ((ai ^ si) -% si); var a = @bitCast(Z, ai); const sd = @bitCast(i32, N - @clz(Z, a)); // number of significant digits var e: i32 = sd - 1; // exponent if (sd > FLT_MANT_DIG) { // start: 0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx // finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR // 12345678901234567890123456 // 1 = msb 1 bit // P = bit FLT_MANT_DIG-1 bits to the right of 1 // Q = bit FLT_MANT_DIG bits to the right of 1 // R = "or" of all bits to the right of Q switch (sd) { FLT_MANT_DIG + 1 => { a <<= 1; }, FLT_MANT_DIG + 2 => {}, else => { const shift1_amt = @intCast(i32, sd - (FLT_MANT_DIG + 2)); const shift1_amt_u7 = @intCast(S, shift1_amt); const shift2_amt = @intCast(i32, N + (FLT_MANT_DIG + 2)) - sd; const shift2_amt_u7 = @intCast(S, shift2_amt); a = (a >> shift1_amt_u7) | @boolToInt((a & (@intCast(Z, maxInt(Z)) >> shift2_amt_u7)) != 0); }, } // finish a |= @boolToInt((a & 4) != 0); // Or P into R a += 1; // round - this step may add a significant bit a >>= 2; // dump Q and R // a is now rounded to FLT_MANT_DIG or FLT_MANT_DIG+1 bits if ((a & (@as(Z, 1) << FLT_MANT_DIG)) != 0) { a >>= 1; e += 1; } // a is now rounded to FLT_MANT_DIG bits } else { a <<= @intCast(S, FLT_MANT_DIG - sd); // a is now rounded to FLT_MANT_DIG bits } const s = @bitCast(Z, arg) >> (@typeInfo(T).Int.bits - 32); const r = (@intCast(u32, s) & 0x80000000) | // sign (@intCast(u32, (e + 127)) << 23) | // exponent (@truncate(u32, a) & 0x007fffff); // mantissa-high return @bitCast(f32, r); } pub fn __floatdisf(arg: i64) callconv(.C) f32 { @setRuntimeSafety(builtin.is_test); return @call(.{ .modifier = .always_inline }, __floatXisf, .{ i64, arg }); } pub fn __floattisf(arg: i128) callconv(.C) f32 { @setRuntimeSafety(builtin.is_test); return @call(.{ .modifier = .always_inline }, __floatXisf, .{ i128, arg }); } pub fn __aeabi_l2f(arg: i64) callconv(.AAPCS) f32 { @setRuntimeSafety(false); return @call(.{ .modifier = .always_inline }, __floatdisf, .{arg}); } test "import floattisf" { _ = @import("floattisf_test.zig"); } test "import floatdisf" { _ = @import("floattisf_test.zig"); }