const builtin = @import("builtin"); const is_test = builtin.is_test; const LDBL_MANT_DIG = 113; pub extern fn __floattitf(arg: i128) f128 { @setRuntimeSafety(is_test); if (arg == 0) return 0.0; var ai = arg; const N: u32 = 128; const si = ai >> @intCast(u7, (N - 1)); ai = ((ai ^ si) -% si); var a = @bitCast(u128, ai); const sd = @bitCast(i32, N - @clz(a)); // number of significant digits var e: i32 = sd - 1; // exponent if (sd > LDBL_MANT_DIG) { // start: 0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx // finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR // 12345678901234567890123456 // 1 = msb 1 bit // P = bit LDBL_MANT_DIG-1 bits to the right of 1 // Q = bit LDBL_MANT_DIG bits to the right of 1 // R = "or" of all bits to the right of Q switch (sd) { LDBL_MANT_DIG + 1 => { a <<= 1; }, LDBL_MANT_DIG + 2 => {}, else => { const shift1_amt = @intCast(i32, sd - (LDBL_MANT_DIG + 2)); const shift1_amt_u7 = @intCast(u7, shift1_amt); const shift2_amt = @intCast(i32, N + (LDBL_MANT_DIG + 2)) - sd; const shift2_amt_u7 = @intCast(u7, shift2_amt); a = (a >> shift1_amt_u7) | @boolToInt((a & (@intCast(u128, @maxValue(u128)) >> 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 LDBL_MANT_DIG or LDBL_MANT_DIG+1 bits if ((a & (u128(1) << LDBL_MANT_DIG)) != 0) { a >>= 1; e += 1; } // a is now rounded to LDBL_MANT_DIG bits } else { a <<= @intCast(u7, LDBL_MANT_DIG - sd); // a is now rounded to LDBL_MANT_DIG bits } const s = @bitCast(u128, arg) >> (128 - 64); const high: u128 = (@intCast(u64, s) & 0x8000000000000000) | // sign (@intCast(u64, (e + 16383)) << 48) | // exponent (@truncate(u64, a >> 64) & 0x0000ffffffffffff); // mantissa-high const low = @truncate(u64, a); // mantissa-low return @bitCast(f128, low | (high << 64)); } test "import floattitf" { _ = @import("floattitf_test.zig"); }