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We already have a LICENSE file that covers the Zig Standard Library. We no longer need to remind everyone that the license is MIT in every single file. Previously this was introduced to clarify the situation for a fork of Zig that made Zig's LICENSE file harder to find, and replaced it with their own license that required annual payments to their company. However that fork now appears to be dead. So there is no need to reinforce the copyright notice in every single file.
92 lines
3.5 KiB
Zig
92 lines
3.5 KiB
Zig
const builtin = @import("builtin");
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const std = @import("std");
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const maxInt = std.math.maxInt;
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const FLT_MANT_DIG = 24;
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pub fn __floatundisf(arg: u64) callconv(.C) f32 {
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@setRuntimeSafety(builtin.is_test);
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if (arg == 0) return 0;
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var a = arg;
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const N: usize = @typeInfo(@TypeOf(a)).Int.bits;
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// Number of significant digits
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const sd = N - @clz(u64, a);
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// 8 exponent
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var e = @intCast(u32, sd) - 1;
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if (sd > FLT_MANT_DIG) {
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// start: 0000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQxxxxxxxxxxxxxxxxxx
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// finish: 000000000000000000000000000000000000001xxxxxxxxxxxxxxxxxxxxxxPQR
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// 12345678901234567890123456
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// 1 = msb 1 bit
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// P = bit FLT_MANT_DIG-1 bits to the right of 1
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// Q = bit FLT_MANT_DIG bits to the right of 1
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// R = "or" of all bits to the right of Q
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switch (sd) {
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FLT_MANT_DIG + 1 => a <<= 1,
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FLT_MANT_DIG + 2 => {},
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else => {
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const shift_amt = @intCast(u6, ((N + FLT_MANT_DIG + 2) - sd));
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const all_ones: u64 = maxInt(u64);
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a = (a >> @intCast(u6, sd - (FLT_MANT_DIG + 2))) |
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@boolToInt(a & (all_ones >> shift_amt) != 0);
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},
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}
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// Or P into R
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a |= @boolToInt((a & 4) != 0);
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// round - this step may add a significant bit
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a += 1;
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// dump Q and R
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a >>= 2;
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// a is now rounded to FLT_MANT_DIG or FLT_MANT_DIG+1 bits
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if ((a & (@as(u64, 1) << FLT_MANT_DIG)) != 0) {
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a >>= 1;
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e += 1;
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}
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// a is now rounded to FLT_MANT_DIG bits
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} else {
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a <<= @intCast(u6, FLT_MANT_DIG - sd);
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// a is now rounded to FLT_MANT_DIG bits
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}
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const result: u32 = ((e + 127) << 23) | // exponent
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@truncate(u32, a & 0x007FFFFF); // mantissa
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return @bitCast(f32, result);
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}
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pub fn __aeabi_ul2f(arg: u64) callconv(.AAPCS) f32 {
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@setRuntimeSafety(false);
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return @call(.{ .modifier = .always_inline }, __floatundisf, .{arg});
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}
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fn test__floatundisf(a: u64, expected: f32) !void {
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try std.testing.expectEqual(expected, __floatundisf(a));
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}
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test "floatundisf" {
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try test__floatundisf(0, 0.0);
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try test__floatundisf(1, 1.0);
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try test__floatundisf(2, 2.0);
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try test__floatundisf(0x7FFFFF8000000000, 0x1.FFFFFEp+62);
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try test__floatundisf(0x7FFFFF0000000000, 0x1.FFFFFCp+62);
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try test__floatundisf(0x8000008000000000, 0x1p+63);
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try test__floatundisf(0x8000010000000000, 0x1.000002p+63);
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try test__floatundisf(0x8000000000000000, 0x1p+63);
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try test__floatundisf(0x8000000000000001, 0x1p+63);
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try test__floatundisf(0xFFFFFFFFFFFFFFFE, 0x1p+64);
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try test__floatundisf(0xFFFFFFFFFFFFFFFF, 0x1p+64);
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try test__floatundisf(0x0007FB72E8000000, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72EA000000, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72EB000000, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72EBFFFFFF, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72EC000000, 0x1.FEDCBCp+50);
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try test__floatundisf(0x0007FB72E8000001, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72E6000000, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72E7000000, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72E7FFFFFF, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72E4000001, 0x1.FEDCBAp+50);
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try test__floatundisf(0x0007FB72E4000000, 0x1.FEDCB8p+50);
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}
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