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Merge pull request #19229 from tiehuis/ryu-128
std.fmt: add ryu floating-point formatting implementation
This commit is contained in:
commit
bd24e66379
@ -235,9 +235,7 @@ set(ZIG_STAGE2_SOURCES
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"${CMAKE_SOURCE_DIR}/lib/std/elf.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fifo.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fmt.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fmt/errol.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fmt/errol/enum3.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fmt/errol/lookup.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fmt/ryu128.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fmt/parse_float.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fs.zig"
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"${CMAKE_SOURCE_DIR}/lib/std/fs/AtomicFile.zig"
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335
lib/std/fmt.zig
335
lib/std/fmt.zig
@ -9,7 +9,7 @@ const assert = std.debug.assert;
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const mem = std.mem;
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const unicode = std.unicode;
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const meta = std.meta;
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const errol = @import("fmt/errol.zig");
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const ryu128 = @import("fmt/ryu128.zig");
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const lossyCast = std.math.lossyCast;
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const expectFmt = std.testing.expectFmt;
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@ -763,27 +763,31 @@ fn formatFloatValue(
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options: FormatOptions,
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writer: anytype,
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) !void {
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// this buffer should be enough to display all decimal places of a decimal f64 number.
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var buf: [512]u8 = undefined;
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var buf_stream = std.io.fixedBufferStream(&buf);
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var buf: [ryu128.bufferSize(.decimal, f64)]u8 = undefined;
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if (fmt.len == 0 or comptime std.mem.eql(u8, fmt, "e")) {
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formatFloatScientific(value, options, buf_stream.writer()) catch |err| switch (err) {
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error.NoSpaceLeft => unreachable,
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const s = ryu128.format(&buf, value, .{ .mode = .scientific, .precision = options.precision }) catch |err| switch (err) {
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error.BufferTooSmall => "(float)",
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};
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return formatBuf(s, options, writer);
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} else if (comptime std.mem.eql(u8, fmt, "d")) {
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formatFloatDecimal(value, options, buf_stream.writer()) catch |err| switch (err) {
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error.NoSpaceLeft => unreachable,
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const s = ryu128.format(&buf, value, .{ .mode = .decimal, .precision = options.precision }) catch |err| switch (err) {
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error.BufferTooSmall => "(float)",
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};
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return formatBuf(s, options, writer);
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} else if (comptime std.mem.eql(u8, fmt, "x")) {
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var buf_stream = std.io.fixedBufferStream(&buf);
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formatFloatHexadecimal(value, options, buf_stream.writer()) catch |err| switch (err) {
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error.NoSpaceLeft => unreachable,
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};
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return formatBuf(buf_stream.getWritten(), options, writer);
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} else {
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invalidFmtError(fmt, value);
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}
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}
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return formatBuf(buf_stream.getWritten(), options, writer);
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test {
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_ = &ryu128;
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}
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pub const Case = enum { lower, upper };
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@ -886,8 +890,7 @@ fn formatSizeImpl(comptime base: comptime_int) type {
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return formatBuf("0B", options, writer);
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}
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// The worst case in terms of space needed is 32 bytes + 3 for the suffix.
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var buf: [35]u8 = undefined;
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var bufstream = io.fixedBufferStream(buf[0..]);
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var buf: [ryu128.min_buffer_size + 3]u8 = undefined;
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const mags_si = " kMGTPEZY";
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const mags_iec = " KMGTPEZY";
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@ -905,20 +908,27 @@ fn formatSizeImpl(comptime base: comptime_int) type {
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else => unreachable,
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};
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formatFloatDecimal(new_value, options, bufstream.writer()) catch |err| switch (err) {
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error.NoSpaceLeft => unreachable, // 35 bytes should be enough
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const s = ryu128.format(&buf, new_value, .{ .mode = .decimal, .precision = options.precision }) catch |err| switch (err) {
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error.BufferTooSmall => unreachable,
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};
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bufstream.writer().writeAll(if (suffix == ' ')
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"B"
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else switch (base) {
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1000 => &[_]u8{ suffix, 'B' },
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1024 => &[_]u8{ suffix, 'i', 'B' },
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var i: usize = s.len;
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if (suffix == ' ') {
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buf[i] = 'B';
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i += 1;
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} else switch (base) {
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1000 => {
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buf[i..][0..2].* = [_]u8{ suffix, 'B' };
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i += 2;
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},
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1024 => {
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buf[i..][0..3].* = [_]u8{ suffix, 'i', 'B' };
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i += 3;
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},
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else => unreachable,
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}) catch |err| switch (err) {
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error.NoSpaceLeft => unreachable,
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};
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return formatBuf(bufstream.getWritten(), options, writer);
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}
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return formatBuf(buf[0..i], options, writer);
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}
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};
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}
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@ -1028,102 +1038,6 @@ pub fn formatBuf(
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}
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}
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/// Print a float in scientific notation to the specified precision. Null uses full precision.
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/// For floats with less than 64 bits, it should be the case that every full precision, printed
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/// value can be re-parsed back to the same type unambiguously.
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///
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/// Floats with more than 64 are currently rounded, see https://github.com/ziglang/zig/issues/1181
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pub fn formatFloatScientific(
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value: anytype,
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options: FormatOptions,
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writer: anytype,
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) !void {
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var x = @as(f64, @floatCast(value));
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// Errol doesn't handle these special cases.
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if (math.signbit(x)) {
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try writer.writeAll("-");
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x = -x;
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}
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if (math.isNan(x)) {
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return writer.writeAll("nan");
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}
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if (math.isPositiveInf(x)) {
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return writer.writeAll("inf");
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}
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if (x == 0.0) {
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try writer.writeAll("0");
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if (options.precision) |precision| {
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if (precision != 0) {
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try writer.writeAll(".");
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var i: usize = 0;
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while (i < precision) : (i += 1) {
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try writer.writeAll("0");
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}
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}
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} else {
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try writer.writeAll(".0");
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}
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try writer.writeAll("e+00");
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return;
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}
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var buffer: [32]u8 = undefined;
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var float_decimal = errol.errol3(x, buffer[0..]);
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if (options.precision) |precision| {
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errol.roundToPrecision(&float_decimal, precision, errol.RoundMode.Scientific);
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try writer.writeAll(float_decimal.digits[0..1]);
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// {e0} case prints no `.`
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if (precision != 0) {
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try writer.writeAll(".");
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var printed: usize = 0;
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if (float_decimal.digits.len > 1) {
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const num_digits = @min(float_decimal.digits.len, precision + 1);
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try writer.writeAll(float_decimal.digits[1..num_digits]);
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printed += num_digits - 1;
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}
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while (printed < precision) : (printed += 1) {
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try writer.writeAll("0");
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}
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}
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} else {
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try writer.writeAll(float_decimal.digits[0..1]);
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try writer.writeAll(".");
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if (float_decimal.digits.len > 1) {
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const num_digits = if (@TypeOf(value) == f32) @min(@as(usize, 9), float_decimal.digits.len) else float_decimal.digits.len;
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try writer.writeAll(float_decimal.digits[1..num_digits]);
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} else {
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try writer.writeAll("0");
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}
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}
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try writer.writeAll("e");
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const exp = float_decimal.exp - 1;
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if (exp >= 0) {
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try writer.writeAll("+");
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if (exp > -10 and exp < 10) {
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try writer.writeAll("0");
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}
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try formatInt(exp, 10, .lower, FormatOptions{ .width = 0 }, writer);
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} else {
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try writer.writeAll("-");
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if (exp > -10 and exp < 10) {
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try writer.writeAll("0");
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}
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try formatInt(-exp, 10, .lower, FormatOptions{ .width = 0 }, writer);
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}
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}
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pub fn formatFloatHexadecimal(
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value: anytype,
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options: FormatOptions,
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@ -1233,149 +1147,6 @@ pub fn formatFloatHexadecimal(
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try formatInt(exponent - exponent_bias, 10, .lower, .{}, writer);
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}
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/// Print a float of the format x.yyyyy where the number of y is specified by the precision argument.
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/// By default floats are printed at full precision (no rounding).
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///
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/// Floats with more than 64 bits are not yet supported, see https://github.com/ziglang/zig/issues/1181
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pub fn formatFloatDecimal(
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value: anytype,
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options: FormatOptions,
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writer: anytype,
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) !void {
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var x = @as(f64, value);
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// Errol doesn't handle these special cases.
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if (math.signbit(x)) {
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try writer.writeAll("-");
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x = -x;
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}
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if (math.isNan(x)) {
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return writer.writeAll("nan");
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}
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if (math.isPositiveInf(x)) {
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return writer.writeAll("inf");
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}
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if (x == 0.0) {
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try writer.writeAll("0");
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if (options.precision) |precision| {
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if (precision != 0) {
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try writer.writeAll(".");
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var i: usize = 0;
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while (i < precision) : (i += 1) {
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try writer.writeAll("0");
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}
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}
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}
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return;
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}
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// non-special case, use errol3
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var buffer: [32]u8 = undefined;
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var float_decimal = errol.errol3(x, buffer[0..]);
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if (options.precision) |precision| {
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errol.roundToPrecision(&float_decimal, precision, errol.RoundMode.Decimal);
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// exp < 0 means the leading is always 0 as errol result is normalized.
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const num_digits_whole = if (float_decimal.exp > 0) @as(usize, @intCast(float_decimal.exp)) else 0;
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// the actual slice into the buffer, we may need to zero-pad between num_digits_whole and this.
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const num_digits_whole_no_pad = @min(num_digits_whole, float_decimal.digits.len);
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if (num_digits_whole > 0) {
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// We may have to zero pad, for instance 1e4 requires zero padding.
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try writer.writeAll(float_decimal.digits[0..num_digits_whole_no_pad]);
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var i: usize = num_digits_whole_no_pad;
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while (i < num_digits_whole) : (i += 1) {
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try writer.writeAll("0");
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}
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} else {
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try writer.writeAll("0");
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}
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// {.0} special case doesn't want a trailing '.'
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if (precision == 0) {
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return;
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}
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try writer.writeAll(".");
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// Keep track of fractional count printed for case where we pre-pad then post-pad with 0's.
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var printed: usize = 0;
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// Zero-fill until we reach significant digits or run out of precision.
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if (float_decimal.exp <= 0) {
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const zero_digit_count = @as(usize, @intCast(-float_decimal.exp));
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const zeros_to_print = @min(zero_digit_count, precision);
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var i: usize = 0;
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while (i < zeros_to_print) : (i += 1) {
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try writer.writeAll("0");
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printed += 1;
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}
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if (printed >= precision) {
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return;
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}
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}
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// Remaining fractional portion, zero-padding if insufficient.
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assert(precision >= printed);
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if (num_digits_whole_no_pad + precision - printed < float_decimal.digits.len) {
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try writer.writeAll(float_decimal.digits[num_digits_whole_no_pad .. num_digits_whole_no_pad + precision - printed]);
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return;
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} else {
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try writer.writeAll(float_decimal.digits[num_digits_whole_no_pad..]);
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printed += float_decimal.digits.len - num_digits_whole_no_pad;
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while (printed < precision) : (printed += 1) {
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try writer.writeAll("0");
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}
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}
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} else {
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// exp < 0 means the leading is always 0 as errol result is normalized.
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const num_digits_whole = if (float_decimal.exp > 0) @as(usize, @intCast(float_decimal.exp)) else 0;
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// the actual slice into the buffer, we may need to zero-pad between num_digits_whole and this.
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const num_digits_whole_no_pad = @min(num_digits_whole, float_decimal.digits.len);
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if (num_digits_whole > 0) {
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// We may have to zero pad, for instance 1e4 requires zero padding.
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try writer.writeAll(float_decimal.digits[0..num_digits_whole_no_pad]);
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var i: usize = num_digits_whole_no_pad;
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while (i < num_digits_whole) : (i += 1) {
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try writer.writeAll("0");
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}
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} else {
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try writer.writeAll("0");
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}
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// Omit `.` if no fractional portion
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if (float_decimal.exp >= 0 and num_digits_whole_no_pad == float_decimal.digits.len) {
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return;
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}
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try writer.writeAll(".");
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// Zero-fill until we reach significant digits or run out of precision.
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if (float_decimal.exp < 0) {
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const zero_digit_count = @as(usize, @intCast(-float_decimal.exp));
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var i: usize = 0;
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while (i < zero_digit_count) : (i += 1) {
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try writer.writeAll("0");
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}
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}
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|
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try writer.writeAll(float_decimal.digits[num_digits_whole_no_pad..]);
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}
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}
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pub fn formatInt(
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value: anytype,
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base: u8,
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@ -1451,7 +1222,7 @@ pub fn formatIntBuf(out_buf: []u8, value: anytype, base: u8, case: Case, options
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}
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// Converts values in the range [0, 100) to a string.
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fn digits2(value: usize) [2]u8 {
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pub fn digits2(value: usize) [2]u8 {
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return ("0001020304050607080910111213141516171819" ++
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"2021222324252627282930313233343536373839" ++
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"4041424344454647484950515253545556575859" ++
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@ -2362,7 +2133,7 @@ test "struct" {
|
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// Tuples
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try expectFmt("{ }", "{}", .{.{}});
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try expectFmt("{ -1 }", "{}", .{.{-1}});
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try expectFmt("{ -1, 42, 2.5e+04 }", "{}", .{.{ -1, 42, 0.25e5 }});
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try expectFmt("{ -1, 42, 2.5e4 }", "{}", .{.{ -1, 42, 0.25e5 }});
|
||||
}
|
||||
|
||||
test "enum" {
|
||||
@ -2409,19 +2180,19 @@ test "non-exhaustive enum" {
|
||||
}
|
||||
|
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test "float.scientific" {
|
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try expectFmt("f32: 1.34000003e+00", "f32: {e}", .{@as(f32, 1.34)});
|
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try expectFmt("f32: 1.23400001e+01", "f32: {e}", .{@as(f32, 12.34)});
|
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try expectFmt("f64: -1.234e+11", "f64: {e}", .{@as(f64, -12.34e10)});
|
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try expectFmt("f32: 1.34e0", "f32: {e}", .{@as(f32, 1.34)});
|
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try expectFmt("f32: 1.234e1", "f32: {e}", .{@as(f32, 12.34)});
|
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try expectFmt("f64: -1.234e11", "f64: {e}", .{@as(f64, -12.34e10)});
|
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try expectFmt("f64: 9.99996e-40", "f64: {e}", .{@as(f64, 9.999960e-40)});
|
||||
}
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||||
|
||||
test "float.scientific.precision" {
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try expectFmt("f64: 1.40971e-42", "f64: {e:.5}", .{@as(f64, 1.409706e-42)});
|
||||
try expectFmt("f64: 1.00000e-09", "f64: {e:.5}", .{@as(f64, @as(f32, @bitCast(@as(u32, 814313563))))});
|
||||
try expectFmt("f64: 7.81250e-03", "f64: {e:.5}", .{@as(f64, @as(f32, @bitCast(@as(u32, 1006632960))))});
|
||||
// libc rounds 1.000005e+05 to 1.00000e+05 but zig does 1.00001e+05.
|
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try expectFmt("f64: 1.00000e-9", "f64: {e:.5}", .{@as(f64, @as(f32, @bitCast(@as(u32, 814313563))))});
|
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try expectFmt("f64: 7.81250e-3", "f64: {e:.5}", .{@as(f64, @as(f32, @bitCast(@as(u32, 1006632960))))});
|
||||
// libc rounds 1.000005e5 to 1.00000e5 but zig does 1.00001e5.
|
||||
// In fact, libc doesn't round a lot of 5 cases up when one past the precision point.
|
||||
try expectFmt("f64: 1.00001e+05", "f64: {e:.5}", .{@as(f64, @as(f32, @bitCast(@as(u32, 1203982400))))});
|
||||
try expectFmt("f64: 1.00001e5", "f64: {e:.5}", .{@as(f64, @as(f32, @bitCast(@as(u32, 1203982400))))});
|
||||
}
|
||||
|
||||
test "float.special" {
|
||||
@ -2490,7 +2261,7 @@ test "float.hexadecimal.precision" {
|
||||
}
|
||||
|
||||
test "float.decimal" {
|
||||
try expectFmt("f64: 152314000000000000000000000000", "f64: {d}", .{@as(f64, 1.52314e+29)});
|
||||
try expectFmt("f64: 152314000000000000000000000000", "f64: {d}", .{@as(f64, 1.52314e29)});
|
||||
try expectFmt("f32: 0", "f32: {d}", .{@as(f32, 0.0)});
|
||||
try expectFmt("f32: 0", "f32: {d:.0}", .{@as(f32, 0.0)});
|
||||
try expectFmt("f32: 1.1", "f32: {d:.1}", .{@as(f32, 1.1234)});
|
||||
@ -2703,10 +2474,10 @@ test "formatFloatValue with comptime_float" {
|
||||
var buf: [20]u8 = undefined;
|
||||
var fbs = std.io.fixedBufferStream(&buf);
|
||||
try formatFloatValue(value, "", FormatOptions{}, fbs.writer());
|
||||
try std.testing.expect(mem.eql(u8, fbs.getWritten(), "1.0e+00"));
|
||||
try std.testing.expectEqualStrings(fbs.getWritten(), "1e0");
|
||||
|
||||
try expectFmt("1.0e+00", "{}", .{value});
|
||||
try expectFmt("1.0e+00", "{}", .{1.0});
|
||||
try expectFmt("1e0", "{}", .{value});
|
||||
try expectFmt("1e0", "{}", .{1.0});
|
||||
}
|
||||
|
||||
test "formatType max_depth" {
|
||||
@ -2843,16 +2614,16 @@ test "padding fill char utf" {
|
||||
|
||||
test "decimal float padding" {
|
||||
const number: f32 = 3.1415;
|
||||
try expectFmt("left-pad: **3.141\n", "left-pad: {d:*>7.3}\n", .{number});
|
||||
try expectFmt("center-pad: *3.141*\n", "center-pad: {d:*^7.3}\n", .{number});
|
||||
try expectFmt("right-pad: 3.141**\n", "right-pad: {d:*<7.3}\n", .{number});
|
||||
try expectFmt("left-pad: **3.142\n", "left-pad: {d:*>7.3}\n", .{number});
|
||||
try expectFmt("center-pad: *3.142*\n", "center-pad: {d:*^7.3}\n", .{number});
|
||||
try expectFmt("right-pad: 3.142**\n", "right-pad: {d:*<7.3}\n", .{number});
|
||||
}
|
||||
|
||||
test "sci float padding" {
|
||||
const number: f32 = 3.1415;
|
||||
try expectFmt("left-pad: **3.141e+00\n", "left-pad: {e:*>11.3}\n", .{number});
|
||||
try expectFmt("center-pad: *3.141e+00*\n", "center-pad: {e:*^11.3}\n", .{number});
|
||||
try expectFmt("right-pad: 3.141e+00**\n", "right-pad: {e:*<11.3}\n", .{number});
|
||||
try expectFmt("left-pad: ****3.142e0\n", "left-pad: {e:*>11.3}\n", .{number});
|
||||
try expectFmt("center-pad: **3.142e0**\n", "center-pad: {e:*^11.3}\n", .{number});
|
||||
try expectFmt("right-pad: 3.142e0****\n", "right-pad: {e:*<11.3}\n", .{number});
|
||||
}
|
||||
|
||||
test "null" {
|
||||
@ -2883,8 +2654,8 @@ test "runtime width specifier" {
|
||||
test "runtime precision specifier" {
|
||||
const number: f32 = 3.1415;
|
||||
const precision: usize = 2;
|
||||
try expectFmt("3.14e+00", "{:1.[1]}", .{ number, precision });
|
||||
try expectFmt("3.14e+00", "{:1.[precision]}", .{ .number = number, .precision = precision });
|
||||
try expectFmt("3.14e0", "{:1.[1]}", .{ number, precision });
|
||||
try expectFmt("3.14e0", "{:1.[precision]}", .{ .number = number, .precision = precision });
|
||||
}
|
||||
|
||||
test "recursive format function" {
|
||||
|
||||
@ -1,709 +0,0 @@
|
||||
const std = @import("../std.zig");
|
||||
const enum3 = @import("errol/enum3.zig").enum3;
|
||||
const enum3_data = @import("errol/enum3.zig").enum3_data;
|
||||
const lookup_table = @import("errol/lookup.zig").lookup_table;
|
||||
const HP = @import("errol/lookup.zig").HP;
|
||||
const math = std.math;
|
||||
const mem = std.mem;
|
||||
const assert = std.debug.assert;
|
||||
|
||||
pub const FloatDecimal = struct {
|
||||
digits: []u8,
|
||||
exp: i32,
|
||||
};
|
||||
|
||||
pub const RoundMode = enum {
|
||||
// Round only the fractional portion (e.g. 1234.23 has precision 2)
|
||||
Decimal,
|
||||
// Round the entire whole/fractional portion (e.g. 1.23423e3 has precision 5)
|
||||
Scientific,
|
||||
};
|
||||
|
||||
/// Round a FloatDecimal as returned by errol3 to the specified fractional precision.
|
||||
/// All digits after the specified precision should be considered invalid.
|
||||
pub fn roundToPrecision(float_decimal: *FloatDecimal, precision: usize, mode: RoundMode) void {
|
||||
// The round digit refers to the index which we should look at to determine
|
||||
// whether we need to round to match the specified precision.
|
||||
var round_digit: usize = 0;
|
||||
|
||||
switch (mode) {
|
||||
RoundMode.Decimal => {
|
||||
if (float_decimal.exp >= 0) {
|
||||
round_digit = precision + @as(usize, @intCast(float_decimal.exp));
|
||||
} else {
|
||||
// if a small negative exp, then adjust we need to offset by the number
|
||||
// of leading zeros that will occur.
|
||||
const min_exp_required = @as(usize, @intCast(-float_decimal.exp));
|
||||
if (precision > min_exp_required) {
|
||||
round_digit = precision - min_exp_required;
|
||||
}
|
||||
}
|
||||
},
|
||||
RoundMode.Scientific => {
|
||||
round_digit = 1 + precision;
|
||||
},
|
||||
}
|
||||
|
||||
// It suffices to look at just this digit. We don't round and propagate say 0.04999 to 0.05
|
||||
// first, and then to 0.1 in the case of a {.1} single precision.
|
||||
|
||||
// Find the digit which will signify the round point and start rounding backwards.
|
||||
if (round_digit < float_decimal.digits.len and float_decimal.digits[round_digit] - '0' >= 5) {
|
||||
assert(round_digit >= 0);
|
||||
|
||||
var i = round_digit;
|
||||
while (true) {
|
||||
if (i == 0) {
|
||||
// Rounded all the way past the start. This was of the form 9.999...
|
||||
// Slot the new digit in place and increase the exponent.
|
||||
float_decimal.exp += 1;
|
||||
|
||||
// Re-size the buffer to use the reserved leading byte.
|
||||
const one_before = @as([*]u8, @ptrFromInt(@intFromPtr(&float_decimal.digits[0]) - 1));
|
||||
float_decimal.digits = one_before[0 .. float_decimal.digits.len + 1];
|
||||
float_decimal.digits[0] = '1';
|
||||
return;
|
||||
}
|
||||
|
||||
i -= 1;
|
||||
|
||||
const new_value = (float_decimal.digits[i] - '0' + 1) % 10;
|
||||
float_decimal.digits[i] = new_value + '0';
|
||||
|
||||
// must continue rounding until non-9
|
||||
if (new_value != 0) {
|
||||
return;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// Corrected Errol3 double to ASCII conversion.
|
||||
pub fn errol3(value: f64, buffer: []u8) FloatDecimal {
|
||||
const bits = @as(u64, @bitCast(value));
|
||||
const i = tableLowerBound(bits);
|
||||
if (i < enum3.len and enum3[i] == bits) {
|
||||
const data = enum3_data[i];
|
||||
const digits = buffer[1..][0..data.str.len];
|
||||
@memcpy(digits, data.str);
|
||||
return FloatDecimal{
|
||||
.digits = digits,
|
||||
.exp = data.exp,
|
||||
};
|
||||
}
|
||||
|
||||
// We generate digits starting at index 1. If rounding a buffer later then it may be
|
||||
// required to generate a preceding digit in some cases (9.999) in which case we use
|
||||
// the 0-index for this extra digit.
|
||||
return errol3u(value, buffer[1..]);
|
||||
}
|
||||
|
||||
/// Uncorrected Errol3 double to ASCII conversion.
|
||||
fn errol3u(val: f64, buffer: []u8) FloatDecimal {
|
||||
// check if in integer or fixed range
|
||||
if (val > 9.007199254740992e15 and val < 3.40282366920938e+38) {
|
||||
return errolInt(val, buffer);
|
||||
} else if (val >= 16.0 and val < 9.007199254740992e15) {
|
||||
return errolFixed(val, buffer);
|
||||
}
|
||||
return errolSlow(val, buffer);
|
||||
}
|
||||
|
||||
fn errolSlow(val: f64, buffer: []u8) FloatDecimal {
|
||||
// normalize the midpoint
|
||||
|
||||
const e = math.frexp(val).exponent;
|
||||
var exp = @as(i16, @intFromFloat(@floor(307 + @as(f64, @floatFromInt(e)) * 0.30103)));
|
||||
if (exp < 20) {
|
||||
exp = 20;
|
||||
} else if (@as(usize, @intCast(exp)) >= lookup_table.len) {
|
||||
exp = @as(i16, @intCast(lookup_table.len - 1));
|
||||
}
|
||||
|
||||
var mid = lookup_table[@as(usize, @intCast(exp))];
|
||||
mid = hpProd(mid, val);
|
||||
const lten = lookup_table[@as(usize, @intCast(exp))].val;
|
||||
|
||||
exp -= 307;
|
||||
|
||||
var ten: f64 = 1.0;
|
||||
|
||||
while (mid.val > 10.0 or (mid.val == 10.0 and mid.off >= 0.0)) {
|
||||
exp += 1;
|
||||
hpDiv10(&mid);
|
||||
ten /= 10.0;
|
||||
}
|
||||
|
||||
while (mid.val < 1.0 or (mid.val == 1.0 and mid.off < 0.0)) {
|
||||
exp -= 1;
|
||||
hpMul10(&mid);
|
||||
ten *= 10.0;
|
||||
}
|
||||
|
||||
// compute boundaries
|
||||
var high = HP{
|
||||
.val = mid.val,
|
||||
.off = mid.off + (fpnext(val) - val) * lten * ten / 2.0,
|
||||
};
|
||||
var low = HP{
|
||||
.val = mid.val,
|
||||
.off = mid.off + (fpprev(val) - val) * lten * ten / 2.0,
|
||||
};
|
||||
|
||||
hpNormalize(&high);
|
||||
hpNormalize(&low);
|
||||
|
||||
// normalized boundaries
|
||||
|
||||
while (high.val > 10.0 or (high.val == 10.0 and high.off >= 0.0)) {
|
||||
exp += 1;
|
||||
hpDiv10(&high);
|
||||
hpDiv10(&low);
|
||||
}
|
||||
|
||||
while (high.val < 1.0 or (high.val == 1.0 and high.off < 0.0)) {
|
||||
exp -= 1;
|
||||
hpMul10(&high);
|
||||
hpMul10(&low);
|
||||
}
|
||||
|
||||
// digit generation
|
||||
var buf_index: usize = 0;
|
||||
const bound = buffer.len - 1;
|
||||
while (buf_index < bound) {
|
||||
var hdig = @as(u8, @intFromFloat(@floor(high.val)));
|
||||
if ((high.val == @as(f64, @floatFromInt(hdig))) and (high.off < 0)) hdig -= 1;
|
||||
|
||||
var ldig = @as(u8, @intFromFloat(@floor(low.val)));
|
||||
if ((low.val == @as(f64, @floatFromInt(ldig))) and (low.off < 0)) ldig -= 1;
|
||||
|
||||
if (ldig != hdig) break;
|
||||
|
||||
buffer[buf_index] = hdig + '0';
|
||||
buf_index += 1;
|
||||
high.val -= @as(f64, @floatFromInt(hdig));
|
||||
low.val -= @as(f64, @floatFromInt(ldig));
|
||||
hpMul10(&high);
|
||||
hpMul10(&low);
|
||||
}
|
||||
|
||||
const tmp = (high.val + low.val) / 2.0;
|
||||
var mdig = @as(u8, @intFromFloat(@floor(tmp + 0.5)));
|
||||
if ((@as(f64, @floatFromInt(mdig)) - tmp) == 0.5 and (mdig & 0x1) != 0) mdig -= 1;
|
||||
|
||||
buffer[buf_index] = mdig + '0';
|
||||
buf_index += 1;
|
||||
|
||||
return FloatDecimal{
|
||||
.digits = buffer[0..buf_index],
|
||||
.exp = exp,
|
||||
};
|
||||
}
|
||||
|
||||
fn tableLowerBound(k: u64) usize {
|
||||
var i = enum3.len;
|
||||
var j: usize = 0;
|
||||
|
||||
while (j < enum3.len) {
|
||||
if (enum3[j] < k) {
|
||||
j = 2 * j + 2;
|
||||
} else {
|
||||
i = j;
|
||||
j = 2 * j + 1;
|
||||
}
|
||||
}
|
||||
|
||||
return i;
|
||||
}
|
||||
|
||||
/// Compute the product of an HP number and a double.
|
||||
/// @in: The HP number.
|
||||
/// @val: The double.
|
||||
/// &returns: The HP number.
|
||||
fn hpProd(in: HP, val: f64) HP {
|
||||
var hi: f64 = undefined;
|
||||
var lo: f64 = undefined;
|
||||
split(in.val, &hi, &lo);
|
||||
|
||||
var hi2: f64 = undefined;
|
||||
var lo2: f64 = undefined;
|
||||
split(val, &hi2, &lo2);
|
||||
|
||||
const p = in.val * val;
|
||||
const e = ((hi * hi2 - p) + lo * hi2 + hi * lo2) + lo * lo2;
|
||||
|
||||
return HP{
|
||||
.val = p,
|
||||
.off = in.off * val + e,
|
||||
};
|
||||
}
|
||||
|
||||
/// Split a double into two halves.
|
||||
/// @val: The double.
|
||||
/// @hi: The high bits.
|
||||
/// @lo: The low bits.
|
||||
fn split(val: f64, hi: *f64, lo: *f64) void {
|
||||
hi.* = gethi(val);
|
||||
lo.* = val - hi.*;
|
||||
}
|
||||
|
||||
fn gethi(in: f64) f64 {
|
||||
const bits = @as(u64, @bitCast(in));
|
||||
const new_bits = bits & 0xFFFFFFFFF8000000;
|
||||
return @as(f64, @bitCast(new_bits));
|
||||
}
|
||||
|
||||
/// Normalize the number by factoring in the error.
|
||||
/// @hp: The float pair.
|
||||
fn hpNormalize(hp: *HP) void {
|
||||
const val = hp.val;
|
||||
hp.val += hp.off;
|
||||
hp.off += val - hp.val;
|
||||
}
|
||||
|
||||
/// Divide the high-precision number by ten.
|
||||
/// @hp: The high-precision number
|
||||
fn hpDiv10(hp: *HP) void {
|
||||
var val = hp.val;
|
||||
|
||||
hp.val /= 10.0;
|
||||
hp.off /= 10.0;
|
||||
|
||||
val -= hp.val * 8.0;
|
||||
val -= hp.val * 2.0;
|
||||
|
||||
hp.off += val / 10.0;
|
||||
|
||||
hpNormalize(hp);
|
||||
}
|
||||
|
||||
/// Multiply the high-precision number by ten.
|
||||
/// @hp: The high-precision number
|
||||
fn hpMul10(hp: *HP) void {
|
||||
const val = hp.val;
|
||||
|
||||
hp.val *= 10.0;
|
||||
hp.off *= 10.0;
|
||||
|
||||
var off = hp.val;
|
||||
off -= val * 8.0;
|
||||
off -= val * 2.0;
|
||||
|
||||
hp.off -= off;
|
||||
|
||||
hpNormalize(hp);
|
||||
}
|
||||
|
||||
/// Integer conversion algorithm, guaranteed correct, optimal, and best.
|
||||
/// @val: The val.
|
||||
/// @buf: The output buffer.
|
||||
/// &return: The exponent.
|
||||
fn errolInt(val: f64, buffer: []u8) FloatDecimal {
|
||||
const pow19 = @as(u128, 1e19);
|
||||
|
||||
assert((val > 9.007199254740992e15) and val < (3.40282366920938e38));
|
||||
|
||||
var mid = @as(u128, @intFromFloat(val));
|
||||
var low: u128 = mid - fpeint((fpnext(val) - val) / 2.0);
|
||||
var high: u128 = mid + fpeint((val - fpprev(val)) / 2.0);
|
||||
|
||||
if (@as(u64, @bitCast(val)) & 0x1 != 0) {
|
||||
high -= 1;
|
||||
} else {
|
||||
low -= 1;
|
||||
}
|
||||
|
||||
var l64 = @as(u64, @intCast(low % pow19));
|
||||
const lf = @as(u64, @intCast((low / pow19) % pow19));
|
||||
|
||||
var h64 = @as(u64, @intCast(high % pow19));
|
||||
const hf = @as(u64, @intCast((high / pow19) % pow19));
|
||||
|
||||
if (lf != hf) {
|
||||
l64 = lf;
|
||||
h64 = hf;
|
||||
mid = mid / (pow19 / 10);
|
||||
}
|
||||
|
||||
var mi: i32 = mismatch10(l64, h64);
|
||||
var x: u64 = 1;
|
||||
{
|
||||
var i: i32 = @intFromBool(lf == hf);
|
||||
while (i < mi) : (i += 1) {
|
||||
x *= 10;
|
||||
}
|
||||
}
|
||||
const m64 = @as(u64, @truncate(@divTrunc(mid, x)));
|
||||
|
||||
if (lf != hf) mi += 19;
|
||||
|
||||
var buf_index = u64toa(m64, buffer) - 1;
|
||||
|
||||
if (mi != 0) {
|
||||
const round_up = buffer[buf_index] >= '5';
|
||||
if (buf_index == 0 or (round_up and buffer[buf_index - 1] == '9')) return errolSlow(val, buffer);
|
||||
buffer[buf_index - 1] += @intFromBool(round_up);
|
||||
} else {
|
||||
buf_index += 1;
|
||||
}
|
||||
|
||||
return FloatDecimal{
|
||||
.digits = buffer[0..buf_index],
|
||||
.exp = @as(i32, @intCast(buf_index)) + mi,
|
||||
};
|
||||
}
|
||||
|
||||
/// Fixed point conversion algorithm, guaranteed correct, optimal, and best.
|
||||
/// @val: The val.
|
||||
/// @buf: The output buffer.
|
||||
/// &return: The exponent.
|
||||
fn errolFixed(val: f64, buffer: []u8) FloatDecimal {
|
||||
assert((val >= 16.0) and (val < 9.007199254740992e15));
|
||||
|
||||
const u = @as(u64, @intFromFloat(val));
|
||||
const n = @as(f64, @floatFromInt(u));
|
||||
|
||||
var mid = val - n;
|
||||
var lo = ((fpprev(val) - n) + mid) / 2.0;
|
||||
var hi = ((fpnext(val) - n) + mid) / 2.0;
|
||||
|
||||
const buf_index = u64toa(u, buffer);
|
||||
const exp: i32 = @intCast(buf_index);
|
||||
var j = buf_index;
|
||||
buffer[j] = 0;
|
||||
|
||||
if (mid != 0.0) {
|
||||
while (mid != 0.0) {
|
||||
lo *= 10.0;
|
||||
const ldig = @as(i32, @intFromFloat(lo));
|
||||
lo -= @as(f64, @floatFromInt(ldig));
|
||||
|
||||
mid *= 10.0;
|
||||
const mdig = @as(i32, @intFromFloat(mid));
|
||||
mid -= @as(f64, @floatFromInt(mdig));
|
||||
|
||||
hi *= 10.0;
|
||||
const hdig = @as(i32, @intFromFloat(hi));
|
||||
hi -= @as(f64, @floatFromInt(hdig));
|
||||
|
||||
buffer[j] = @as(u8, @intCast(mdig + '0'));
|
||||
j += 1;
|
||||
|
||||
if (hdig != ldig or j > 50) break;
|
||||
}
|
||||
|
||||
if (mid > 0.5) {
|
||||
buffer[j - 1] += 1;
|
||||
} else if ((mid == 0.5) and (buffer[j - 1] & 0x1) != 0) {
|
||||
buffer[j - 1] += 1;
|
||||
}
|
||||
} else {
|
||||
while (buffer[j - 1] == '0') {
|
||||
buffer[j - 1] = 0;
|
||||
j -= 1;
|
||||
}
|
||||
}
|
||||
|
||||
buffer[j] = 0;
|
||||
|
||||
return FloatDecimal{
|
||||
.digits = buffer[0..j],
|
||||
.exp = exp,
|
||||
};
|
||||
}
|
||||
|
||||
fn fpnext(val: f64) f64 {
|
||||
return @as(f64, @bitCast(@as(u64, @bitCast(val)) +% 1));
|
||||
}
|
||||
|
||||
fn fpprev(val: f64) f64 {
|
||||
return @as(f64, @bitCast(@as(u64, @bitCast(val)) -% 1));
|
||||
}
|
||||
|
||||
pub const c_digits_lut = [_]u8{
|
||||
'0', '0', '0', '1', '0', '2', '0', '3', '0', '4', '0', '5', '0', '6',
|
||||
'0', '7', '0', '8', '0', '9', '1', '0', '1', '1', '1', '2', '1', '3',
|
||||
'1', '4', '1', '5', '1', '6', '1', '7', '1', '8', '1', '9', '2', '0',
|
||||
'2', '1', '2', '2', '2', '3', '2', '4', '2', '5', '2', '6', '2', '7',
|
||||
'2', '8', '2', '9', '3', '0', '3', '1', '3', '2', '3', '3', '3', '4',
|
||||
'3', '5', '3', '6', '3', '7', '3', '8', '3', '9', '4', '0', '4', '1',
|
||||
'4', '2', '4', '3', '4', '4', '4', '5', '4', '6', '4', '7', '4', '8',
|
||||
'4', '9', '5', '0', '5', '1', '5', '2', '5', '3', '5', '4', '5', '5',
|
||||
'5', '6', '5', '7', '5', '8', '5', '9', '6', '0', '6', '1', '6', '2',
|
||||
'6', '3', '6', '4', '6', '5', '6', '6', '6', '7', '6', '8', '6', '9',
|
||||
'7', '0', '7', '1', '7', '2', '7', '3', '7', '4', '7', '5', '7', '6',
|
||||
'7', '7', '7', '8', '7', '9', '8', '0', '8', '1', '8', '2', '8', '3',
|
||||
'8', '4', '8', '5', '8', '6', '8', '7', '8', '8', '8', '9', '9', '0',
|
||||
'9', '1', '9', '2', '9', '3', '9', '4', '9', '5', '9', '6', '9', '7',
|
||||
'9', '8', '9', '9',
|
||||
};
|
||||
|
||||
fn u64toa(value_param: u64, buffer: []u8) usize {
|
||||
var value = value_param;
|
||||
const kTen8: u64 = 100000000;
|
||||
const kTen9: u64 = kTen8 * 10;
|
||||
const kTen10: u64 = kTen8 * 100;
|
||||
const kTen11: u64 = kTen8 * 1000;
|
||||
const kTen12: u64 = kTen8 * 10000;
|
||||
const kTen13: u64 = kTen8 * 100000;
|
||||
const kTen14: u64 = kTen8 * 1000000;
|
||||
const kTen15: u64 = kTen8 * 10000000;
|
||||
const kTen16: u64 = kTen8 * kTen8;
|
||||
|
||||
var buf_index: usize = 0;
|
||||
|
||||
if (value < kTen8) {
|
||||
const v = @as(u32, @intCast(value));
|
||||
if (v < 10000) {
|
||||
const d1: u32 = (v / 100) << 1;
|
||||
const d2: u32 = (v % 100) << 1;
|
||||
|
||||
if (v >= 1000) {
|
||||
buffer[buf_index] = c_digits_lut[d1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (v >= 100) {
|
||||
buffer[buf_index] = c_digits_lut[d1 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (v >= 10) {
|
||||
buffer[buf_index] = c_digits_lut[d2];
|
||||
buf_index += 1;
|
||||
}
|
||||
buffer[buf_index] = c_digits_lut[d2 + 1];
|
||||
buf_index += 1;
|
||||
} else {
|
||||
// value = bbbbcccc
|
||||
const b: u32 = v / 10000;
|
||||
const c: u32 = v % 10000;
|
||||
|
||||
const d1: u32 = (b / 100) << 1;
|
||||
const d2: u32 = (b % 100) << 1;
|
||||
|
||||
const d3: u32 = (c / 100) << 1;
|
||||
const d4: u32 = (c % 100) << 1;
|
||||
|
||||
if (value >= 10000000) {
|
||||
buffer[buf_index] = c_digits_lut[d1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= 1000000) {
|
||||
buffer[buf_index] = c_digits_lut[d1 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= 100000) {
|
||||
buffer[buf_index] = c_digits_lut[d2];
|
||||
buf_index += 1;
|
||||
}
|
||||
buffer[buf_index] = c_digits_lut[d2 + 1];
|
||||
buf_index += 1;
|
||||
|
||||
buffer[buf_index] = c_digits_lut[d3];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d3 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d4];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d4 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
} else if (value < kTen16) {
|
||||
const v0: u32 = @as(u32, @intCast(value / kTen8));
|
||||
const v1: u32 = @as(u32, @intCast(value % kTen8));
|
||||
|
||||
const b0: u32 = v0 / 10000;
|
||||
const c0: u32 = v0 % 10000;
|
||||
|
||||
const d1: u32 = (b0 / 100) << 1;
|
||||
const d2: u32 = (b0 % 100) << 1;
|
||||
|
||||
const d3: u32 = (c0 / 100) << 1;
|
||||
const d4: u32 = (c0 % 100) << 1;
|
||||
|
||||
const b1: u32 = v1 / 10000;
|
||||
const c1: u32 = v1 % 10000;
|
||||
|
||||
const d5: u32 = (b1 / 100) << 1;
|
||||
const d6: u32 = (b1 % 100) << 1;
|
||||
|
||||
const d7: u32 = (c1 / 100) << 1;
|
||||
const d8: u32 = (c1 % 100) << 1;
|
||||
|
||||
if (value >= kTen15) {
|
||||
buffer[buf_index] = c_digits_lut[d1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= kTen14) {
|
||||
buffer[buf_index] = c_digits_lut[d1 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= kTen13) {
|
||||
buffer[buf_index] = c_digits_lut[d2];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= kTen12) {
|
||||
buffer[buf_index] = c_digits_lut[d2 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= kTen11) {
|
||||
buffer[buf_index] = c_digits_lut[d3];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= kTen10) {
|
||||
buffer[buf_index] = c_digits_lut[d3 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= kTen9) {
|
||||
buffer[buf_index] = c_digits_lut[d4];
|
||||
buf_index += 1;
|
||||
}
|
||||
if (value >= kTen8) {
|
||||
buffer[buf_index] = c_digits_lut[d4 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
|
||||
buffer[buf_index] = c_digits_lut[d5];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d5 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d6];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d6 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d7];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d7 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d8];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d8 + 1];
|
||||
buf_index += 1;
|
||||
} else {
|
||||
const a = @as(u32, @intCast(value / kTen16)); // 1 to 1844
|
||||
value %= kTen16;
|
||||
|
||||
if (a < 10) {
|
||||
buffer[buf_index] = '0' + @as(u8, @intCast(a));
|
||||
buf_index += 1;
|
||||
} else if (a < 100) {
|
||||
const i: u32 = a << 1;
|
||||
buffer[buf_index] = c_digits_lut[i];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[i + 1];
|
||||
buf_index += 1;
|
||||
} else if (a < 1000) {
|
||||
buffer[buf_index] = '0' + @as(u8, @intCast(a / 100));
|
||||
buf_index += 1;
|
||||
|
||||
const i: u32 = (a % 100) << 1;
|
||||
buffer[buf_index] = c_digits_lut[i];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[i + 1];
|
||||
buf_index += 1;
|
||||
} else {
|
||||
const i: u32 = (a / 100) << 1;
|
||||
const j: u32 = (a % 100) << 1;
|
||||
buffer[buf_index] = c_digits_lut[i];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[i + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[j];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[j + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
|
||||
const v0 = @as(u32, @intCast(value / kTen8));
|
||||
const v1 = @as(u32, @intCast(value % kTen8));
|
||||
|
||||
const b0: u32 = v0 / 10000;
|
||||
const c0: u32 = v0 % 10000;
|
||||
|
||||
const d1: u32 = (b0 / 100) << 1;
|
||||
const d2: u32 = (b0 % 100) << 1;
|
||||
|
||||
const d3: u32 = (c0 / 100) << 1;
|
||||
const d4: u32 = (c0 % 100) << 1;
|
||||
|
||||
const b1: u32 = v1 / 10000;
|
||||
const c1: u32 = v1 % 10000;
|
||||
|
||||
const d5: u32 = (b1 / 100) << 1;
|
||||
const d6: u32 = (b1 % 100) << 1;
|
||||
|
||||
const d7: u32 = (c1 / 100) << 1;
|
||||
const d8: u32 = (c1 % 100) << 1;
|
||||
|
||||
buffer[buf_index] = c_digits_lut[d1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d1 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d2];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d2 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d3];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d3 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d4];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d4 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d5];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d5 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d6];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d6 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d7];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d7 + 1];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d8];
|
||||
buf_index += 1;
|
||||
buffer[buf_index] = c_digits_lut[d8 + 1];
|
||||
buf_index += 1;
|
||||
}
|
||||
|
||||
return buf_index;
|
||||
}
|
||||
|
||||
fn fpeint(from: f64) u128 {
|
||||
const bits = @as(u64, @bitCast(from));
|
||||
assert((bits & ((1 << 52) - 1)) == 0);
|
||||
|
||||
return @as(u128, 1) << @as(u7, @truncate((bits >> 52) -% 1023));
|
||||
}
|
||||
|
||||
/// Given two different integers with the same length in terms of the number
|
||||
/// of decimal digits, index the digits from the right-most position starting
|
||||
/// from zero, find the first index where the digits in the two integers
|
||||
/// divergent starting from the highest index.
|
||||
/// @a: Integer a.
|
||||
/// @b: Integer b.
|
||||
/// &returns: An index within [0, 19).
|
||||
fn mismatch10(a: u64, b: u64) i32 {
|
||||
const pow10 = 10000000000;
|
||||
const af = a / pow10;
|
||||
const bf = b / pow10;
|
||||
|
||||
var i: i32 = 0;
|
||||
var a_copy = a;
|
||||
var b_copy = b;
|
||||
|
||||
if (af != bf) {
|
||||
i = 10;
|
||||
a_copy = af;
|
||||
b_copy = bf;
|
||||
}
|
||||
|
||||
while (true) : (i += 1) {
|
||||
a_copy /= 10;
|
||||
b_copy /= 10;
|
||||
|
||||
if (a_copy == b_copy) return i;
|
||||
}
|
||||
}
|
||||
@ -1,881 +0,0 @@
|
||||
pub const enum3 = [_]u64{
|
||||
0x4e2e2785c3a2a20b,
|
||||
0x240a28877a09a4e1,
|
||||
0x728fca36c06cf106,
|
||||
0x1016b100e18e5c17,
|
||||
0x3159190e30e46c1d,
|
||||
0x64312a13daa46fe4,
|
||||
0x7c41926c7a7122ba,
|
||||
0x08667a3c8dc4bc9c,
|
||||
0x18dde996371c6060,
|
||||
0x297c2c31a31998ae,
|
||||
0x368b870de5d93270,
|
||||
0x57d561def4a9ee32,
|
||||
0x6d275d226331d03a,
|
||||
0x76703d7cb98edc59,
|
||||
0x7ec490abad057752,
|
||||
0x037be9d5a60850b5,
|
||||
0x0c63165633977bca,
|
||||
0x14a048cb468bc209,
|
||||
0x20dc29bc6879dfcd,
|
||||
0x2643dc6227de9148,
|
||||
0x2d64f14348a4c5db,
|
||||
0x341eef5e1f90ac35,
|
||||
0x4931159a8bd8a240,
|
||||
0x503ca9bade45b94a,
|
||||
0x5c1af5b5378aa2e5,
|
||||
0x6b4ef9beaa7aa584,
|
||||
0x6ef1c382c3819a0a,
|
||||
0x754fe46e378bf133,
|
||||
0x7ace779fddf21622,
|
||||
0x7df22815078cb97b,
|
||||
0x7f33c8eeb77b8d05,
|
||||
0x011b7aa3d73f6658,
|
||||
0x06ceb7f2c53db97f,
|
||||
0x0b8f3d82e9356287,
|
||||
0x0e304273b18918b0,
|
||||
0x139fb24e492936f6,
|
||||
0x176090684f5fe997,
|
||||
0x1e3035e7b5183922,
|
||||
0x220ce77c2b3328fc,
|
||||
0x246441ed79830182,
|
||||
0x279b5cd8bbdd8770,
|
||||
0x2cc7c3fba45c1272,
|
||||
0x3081eab25ad0fcf7,
|
||||
0x329f5a18504dfaac,
|
||||
0x347eef5e1f90ac35,
|
||||
0x3a978cfcab31064c,
|
||||
0x4baa32ac316fb3ab,
|
||||
0x4eb9a2c2a34ac2f9,
|
||||
0x522f6a5025e71a61,
|
||||
0x5935ede8cce30845,
|
||||
0x5f9aeac2d1ea2695,
|
||||
0x6820ee7811241ad3,
|
||||
0x6c06c9e14b7c22c3,
|
||||
0x6e5a2fbffdb7580c,
|
||||
0x71160cf8f38b0465,
|
||||
0x738a37935f3b71c9,
|
||||
0x756fe46e378bf133,
|
||||
0x7856d2aa2fc5f2b5,
|
||||
0x7bd3b063946e10ae,
|
||||
0x7d8220e1772428d7,
|
||||
0x7e222815078cb97b,
|
||||
0x7ef5bc471d5456c7,
|
||||
0x7fb82baa4ae611dc,
|
||||
0x00bb7aa3d73f6658,
|
||||
0x0190a0f3c55062c5,
|
||||
0x05898e3445512a6e,
|
||||
0x07bfe89cf1bd76ac,
|
||||
0x08dfa7ebe304ee3e,
|
||||
0x0c43165633977bca,
|
||||
0x0e104273b18918b0,
|
||||
0x0fd6ba8608faa6a9,
|
||||
0x10b4139a6b17b224,
|
||||
0x1466cc4fc92a0fa6,
|
||||
0x162ba6008389068a,
|
||||
0x1804116d591ef1fb,
|
||||
0x1c513770474911bd,
|
||||
0x1e7035e7b5183923,
|
||||
0x2114dab846e19e25,
|
||||
0x222ce77c2b3328fc,
|
||||
0x244441ed79830182,
|
||||
0x249b23b50fc204db,
|
||||
0x278aacfcb88c92d6,
|
||||
0x289d52af46e5fa6a,
|
||||
0x2bdec922478c0421,
|
||||
0x2d44f14348a4c5dc,
|
||||
0x2f0c1249e96b6d8d,
|
||||
0x30addc7e975c5045,
|
||||
0x322aedaa0fc32ac8,
|
||||
0x33deef5e1f90ac34,
|
||||
0x343eef5e1f90ac35,
|
||||
0x35ef1de1f7f14439,
|
||||
0x3854faba79ea92ec,
|
||||
0x47f52d02c7e14af7,
|
||||
0x4a6bb6979ae39c49,
|
||||
0x4c85564fb098c955,
|
||||
0x4e80fde34c996086,
|
||||
0x4ed9a2c2a34ac2f9,
|
||||
0x51a3274280201a89,
|
||||
0x574fe0403124a00e,
|
||||
0x581561def4a9ee31,
|
||||
0x5b55ed1f039cebff,
|
||||
0x5e2780695036a679,
|
||||
0x624be064a3fb2725,
|
||||
0x674dcfee6690ffc6,
|
||||
0x6a6cc08102f0da5b,
|
||||
0x6be6c9e14b7c22c4,
|
||||
0x6ce75d226331d03a,
|
||||
0x6d5b9445072f4374,
|
||||
0x6e927edd0dbb8c09,
|
||||
0x71060cf8f38b0465,
|
||||
0x71b1d7cb7eae05d9,
|
||||
0x72fba10d818fdafd,
|
||||
0x739a37935f3b71c9,
|
||||
0x755fe46e378bf133,
|
||||
0x76603d7cb98edc59,
|
||||
0x78447e17e7814ce7,
|
||||
0x799d696737fe68c7,
|
||||
0x7ade779fddf21622,
|
||||
0x7c1c283ffc61c87d,
|
||||
0x7d1a85c6f7fba05d,
|
||||
0x7da220e1772428d7,
|
||||
0x7e022815078cb97b,
|
||||
0x7e9a9b45a91f1700,
|
||||
0x7ee3c8eeb77b8d05,
|
||||
0x7f13c8eeb77b8d05,
|
||||
0x7f6594223f5654bf,
|
||||
0x7fd82baa4ae611dc,
|
||||
0x002d243f646eaf51,
|
||||
0x00f5d15b26b80e30,
|
||||
0x0180a0f3c55062c5,
|
||||
0x01f393b456eef178,
|
||||
0x05798e3445512a6e,
|
||||
0x06afdadafcacdf85,
|
||||
0x06e8b03fd6894b66,
|
||||
0x07cfe89cf1bd76ac,
|
||||
0x08ac25584881552a,
|
||||
0x097822507db6a8fd,
|
||||
0x0c27b35936d56e28,
|
||||
0x0c53165633977bca,
|
||||
0x0c8e9eddbbb259b4,
|
||||
0x0e204273b18918b0,
|
||||
0x0f1d16d6d4b89689,
|
||||
0x0fe6ba8608faa6a9,
|
||||
0x105f48347c60a1be,
|
||||
0x13627383c5456c5e,
|
||||
0x13f93bb1e72a2033,
|
||||
0x148048cb468bc208,
|
||||
0x1514c0b3a63c1444,
|
||||
0x175090684f5fe997,
|
||||
0x17e4116d591ef1fb,
|
||||
0x18cde996371c6060,
|
||||
0x19aa2cf604c30d3f,
|
||||
0x1d2b1ad9101b1bfd,
|
||||
0x1e5035e7b5183923,
|
||||
0x1fe5a79c4e71d028,
|
||||
0x20ec29bc6879dfcd,
|
||||
0x218ce77c2b3328fb,
|
||||
0x221ce77c2b3328fc,
|
||||
0x233f346f9ed36b89,
|
||||
0x243441ed79830182,
|
||||
0x245441ed79830182,
|
||||
0x247441ed79830182,
|
||||
0x2541e4ee41180c0a,
|
||||
0x277aacfcb88c92d6,
|
||||
0x279aacfcb88c92d6,
|
||||
0x27cbb4c6bd8601bd,
|
||||
0x28c04a616046e074,
|
||||
0x2a4eeff57768f88c,
|
||||
0x2c2379f099a86227,
|
||||
0x2d04f14348a4c5db,
|
||||
0x2d54f14348a4c5dc,
|
||||
0x2d6a8c931c19b77a,
|
||||
0x2fa387cf9cb4ad4e,
|
||||
0x308ddc7e975c5046,
|
||||
0x3149190e30e46c1d,
|
||||
0x318d2ec75df6ba2a,
|
||||
0x32548050091c3c24,
|
||||
0x33beef5e1f90ac34,
|
||||
0x33feef5e1f90ac35,
|
||||
0x342eef5e1f90ac35,
|
||||
0x345eef5e1f90ac35,
|
||||
0x35108621c4199208,
|
||||
0x366b870de5d93270,
|
||||
0x375b20c2f4f8d4a0,
|
||||
0x3864faba79ea92ec,
|
||||
0x3aa78cfcab31064c,
|
||||
0x4919d9577de925d5,
|
||||
0x49ccadd6dd730c96,
|
||||
0x4b9a32ac316fb3ab,
|
||||
0x4bba32ac316fb3ab,
|
||||
0x4cff20b1a0d7f626,
|
||||
0x4e3e2785c3a2a20b,
|
||||
0x4ea9a2c2a34ac2f9,
|
||||
0x4ec9a2c2a34ac2f9,
|
||||
0x4f28750ea732fdae,
|
||||
0x513843e10734fa57,
|
||||
0x51e71760b3c0bc13,
|
||||
0x55693ba3249a8511,
|
||||
0x57763ae2caed4528,
|
||||
0x57f561def4a9ee32,
|
||||
0x584561def4a9ee31,
|
||||
0x5b45ed1f039cebfe,
|
||||
0x5bfaf5b5378aa2e5,
|
||||
0x5c6cf45d333da323,
|
||||
0x5e64ec8fd70420c7,
|
||||
0x6009813653f62db7,
|
||||
0x64112a13daa46fe4,
|
||||
0x672dcfee6690ffc6,
|
||||
0x677a77581053543b,
|
||||
0x699873e3758bc6b3,
|
||||
0x6b3ef9beaa7aa584,
|
||||
0x6b7b86d8c3df7cd1,
|
||||
0x6bf6c9e14b7c22c3,
|
||||
0x6c16c9e14b7c22c3,
|
||||
0x6d075d226331d03a,
|
||||
0x6d5a3bdac4f00f33,
|
||||
0x6e4a2fbffdb7580c,
|
||||
0x6e927edd0dbb8c08,
|
||||
0x6ee1c382c3819a0a,
|
||||
0x70f60cf8f38b0465,
|
||||
0x7114390c68b888ce,
|
||||
0x714fb4840532a9e5,
|
||||
0x727fca36c06cf106,
|
||||
0x72eba10d818fdafd,
|
||||
0x737a37935f3b71c9,
|
||||
0x73972852443155ae,
|
||||
0x754fe46e378bf132,
|
||||
0x755fe46e378bf132,
|
||||
0x756fe46e378bf132,
|
||||
0x76603d7cb98edc58,
|
||||
0x76703d7cb98edc58,
|
||||
0x782f7c6a9ad432a1,
|
||||
0x78547e17e7814ce7,
|
||||
0x7964066d88c7cab8,
|
||||
0x7ace779fddf21621,
|
||||
0x7ade779fddf21621,
|
||||
0x7bc3b063946e10ae,
|
||||
0x7c0c283ffc61c87d,
|
||||
0x7c31926c7a7122ba,
|
||||
0x7d0a85c6f7fba05d,
|
||||
0x7d52a5daf9226f04,
|
||||
0x7d9220e1772428d7,
|
||||
0x7db220e1772428d7,
|
||||
0x7dfe5aceedf1c1f1,
|
||||
0x7e122815078cb97b,
|
||||
0x7e8a9b45a91f1700,
|
||||
0x7eb6202598194bee,
|
||||
0x7ec6202598194bee,
|
||||
0x7ef3c8eeb77b8d05,
|
||||
0x7f03c8eeb77b8d05,
|
||||
0x7f23c8eeb77b8d05,
|
||||
0x7f5594223f5654bf,
|
||||
0x7f9914e03c9260ee,
|
||||
0x7fc82baa4ae611dc,
|
||||
0x7fefffffffffffff,
|
||||
0x001d243f646eaf51,
|
||||
0x00ab7aa3d73f6658,
|
||||
0x00cb7aa3d73f6658,
|
||||
0x010b7aa3d73f6658,
|
||||
0x012b7aa3d73f6658,
|
||||
0x0180a0f3c55062c6,
|
||||
0x0190a0f3c55062c6,
|
||||
0x03719f08ccdccfe5,
|
||||
0x03dc25ba6a45de02,
|
||||
0x05798e3445512a6f,
|
||||
0x05898e3445512a6f,
|
||||
0x06bfdadafcacdf85,
|
||||
0x06cfdadafcacdf85,
|
||||
0x06f8b03fd6894b66,
|
||||
0x07c1707c02068785,
|
||||
0x08567a3c8dc4bc9c,
|
||||
0x089c25584881552a,
|
||||
0x08dfa7ebe304ee3d,
|
||||
0x096822507db6a8fd,
|
||||
0x09e41934d77659be,
|
||||
0x0c27b35936d56e27,
|
||||
0x0c43165633977bc9,
|
||||
0x0c53165633977bc9,
|
||||
0x0c63165633977bc9,
|
||||
0x0c7e9eddbbb259b4,
|
||||
0x0c9e9eddbbb259b4,
|
||||
0x0e104273b18918b1,
|
||||
0x0e204273b18918b1,
|
||||
0x0e304273b18918b1,
|
||||
0x0fd6ba8608faa6a8,
|
||||
0x0fe6ba8608faa6a8,
|
||||
0x1006b100e18e5c17,
|
||||
0x104f48347c60a1be,
|
||||
0x10a4139a6b17b224,
|
||||
0x12cb91d317c8ebe9,
|
||||
0x138fb24e492936f6,
|
||||
0x13afb24e492936f6,
|
||||
0x14093bb1e72a2033,
|
||||
0x1476cc4fc92a0fa6,
|
||||
0x149048cb468bc209,
|
||||
0x1504c0b3a63c1444,
|
||||
0x161ba6008389068a,
|
||||
0x168cfab1a09b49c4,
|
||||
0x175090684f5fe998,
|
||||
0x176090684f5fe998,
|
||||
0x17f4116d591ef1fb,
|
||||
0x18a710b7a2ef18b7,
|
||||
0x18d99fccca44882a,
|
||||
0x199a2cf604c30d3f,
|
||||
0x1b5ebddc6593c857,
|
||||
0x1d1b1ad9101b1bfd,
|
||||
0x1d3b1ad9101b1bfd,
|
||||
0x1e4035e7b5183923,
|
||||
0x1e6035e7b5183923,
|
||||
0x1fd5a79c4e71d028,
|
||||
0x20cc29bc6879dfcd,
|
||||
0x20e8823a57adbef8,
|
||||
0x2104dab846e19e25,
|
||||
0x2124dab846e19e25,
|
||||
0x220ce77c2b3328fb,
|
||||
0x221ce77c2b3328fb,
|
||||
0x222ce77c2b3328fb,
|
||||
0x229197b290631476,
|
||||
0x240a28877a09a4e0,
|
||||
0x243441ed79830181,
|
||||
0x244441ed79830181,
|
||||
0x245441ed79830181,
|
||||
0x246441ed79830181,
|
||||
0x247441ed79830181,
|
||||
0x248b23b50fc204db,
|
||||
0x24ab23b50fc204db,
|
||||
0x2633dc6227de9148,
|
||||
0x2653dc6227de9148,
|
||||
0x277aacfcb88c92d7,
|
||||
0x278aacfcb88c92d7,
|
||||
0x279aacfcb88c92d7,
|
||||
0x27bbb4c6bd8601bd,
|
||||
0x289d52af46e5fa69,
|
||||
0x28b04a616046e074,
|
||||
0x28d04a616046e074,
|
||||
0x2a3eeff57768f88c,
|
||||
0x2b8e3a0aeed7be19,
|
||||
0x2beec922478c0421,
|
||||
0x2cc7c3fba45c1271,
|
||||
0x2cf4f14348a4c5db,
|
||||
0x2d44f14348a4c5db,
|
||||
0x2d54f14348a4c5db,
|
||||
0x2d5a8c931c19b77a,
|
||||
0x2d64f14348a4c5dc,
|
||||
0x2efc1249e96b6d8d,
|
||||
0x2f0f6b23cfe98807,
|
||||
0x2fe91b9de4d5cf31,
|
||||
0x308ddc7e975c5045,
|
||||
0x309ddc7e975c5045,
|
||||
0x30bddc7e975c5045,
|
||||
0x3150ed9bd6bfd003,
|
||||
0x317d2ec75df6ba2a,
|
||||
0x321aedaa0fc32ac8,
|
||||
0x32448050091c3c24,
|
||||
0x328f5a18504dfaac,
|
||||
0x3336dca59d035820,
|
||||
0x33ceef5e1f90ac34,
|
||||
0x33eeef5e1f90ac35,
|
||||
0x340eef5e1f90ac35,
|
||||
0x34228f9edfbd3420,
|
||||
0x34328f9edfbd3420,
|
||||
0x344eef5e1f90ac35,
|
||||
0x346eef5e1f90ac35,
|
||||
0x35008621c4199208,
|
||||
0x35e0ac2e7f90b8a3,
|
||||
0x361dde4a4ab13e09,
|
||||
0x367b870de5d93270,
|
||||
0x375b20c2f4f8d49f,
|
||||
0x37f25d342b1e33e5,
|
||||
0x3854faba79ea92ed,
|
||||
0x3864faba79ea92ed,
|
||||
0x3a978cfcab31064d,
|
||||
0x3aa78cfcab31064d,
|
||||
0x490cd230a7ff47c3,
|
||||
0x4929d9577de925d5,
|
||||
0x4939d9577de925d5,
|
||||
0x49dcadd6dd730c96,
|
||||
0x4a7bb6979ae39c49,
|
||||
0x4b9a32ac316fb3ac,
|
||||
0x4baa32ac316fb3ac,
|
||||
0x4bba32ac316fb3ac,
|
||||
0x4cef20b1a0d7f626,
|
||||
0x4e2e2785c3a2a20a,
|
||||
0x4e3e2785c3a2a20a,
|
||||
0x4e6454b1aef62c8d,
|
||||
0x4e90fde34c996086,
|
||||
0x4ea9a2c2a34ac2fa,
|
||||
0x4eb9a2c2a34ac2fa,
|
||||
0x4ec9a2c2a34ac2fa,
|
||||
0x4ed9a2c2a34ac2fa,
|
||||
0x4f38750ea732fdae,
|
||||
0x504ca9bade45b94a,
|
||||
0x514843e10734fa57,
|
||||
0x51b3274280201a89,
|
||||
0x521f6a5025e71a61,
|
||||
0x52c6a47d4e7ec633,
|
||||
0x55793ba3249a8511,
|
||||
0x575fe0403124a00e,
|
||||
0x57863ae2caed4528,
|
||||
0x57e561def4a9ee32,
|
||||
0x580561def4a9ee31,
|
||||
0x582561def4a9ee31,
|
||||
0x585561def4a9ee31,
|
||||
0x59d0dd8f2788d699,
|
||||
0x5b55ed1f039cebfe,
|
||||
0x5beaf5b5378aa2e5,
|
||||
0x5c0af5b5378aa2e5,
|
||||
0x5c4ef3052ef0a361,
|
||||
0x5e1780695036a679,
|
||||
0x5e54ec8fd70420c7,
|
||||
0x5e6b5e2f86026f05,
|
||||
0x5faaeac2d1ea2695,
|
||||
0x611260322d04d50b,
|
||||
0x625be064a3fb2725,
|
||||
0x64212a13daa46fe4,
|
||||
0x671dcfee6690ffc6,
|
||||
0x673dcfee6690ffc6,
|
||||
0x675dcfee6690ffc6,
|
||||
0x678a77581053543b,
|
||||
0x682d3683fa3d1ee0,
|
||||
0x699cb490951e8515,
|
||||
0x6b3ef9beaa7aa583,
|
||||
0x6b4ef9beaa7aa583,
|
||||
0x6b7896beb0c66eb9,
|
||||
0x6bdf20938e7414bb,
|
||||
0x6bef20938e7414bb,
|
||||
0x6bf6c9e14b7c22c4,
|
||||
0x6c06c9e14b7c22c4,
|
||||
0x6c16c9e14b7c22c4,
|
||||
0x6cf75d226331d03a,
|
||||
0x6d175d226331d03a,
|
||||
0x6d4b9445072f4374,
|
||||
};
|
||||
|
||||
const Slab = struct {
|
||||
str: []const u8,
|
||||
exp: i32,
|
||||
};
|
||||
|
||||
fn slab(str: []const u8, exp: i32) Slab {
|
||||
return Slab{
|
||||
.str = str,
|
||||
.exp = exp,
|
||||
};
|
||||
}
|
||||
|
||||
pub const enum3_data = [_]Slab{
|
||||
slab("40648030339495312", 69),
|
||||
slab("4498645355592131", -134),
|
||||
slab("678321594594593", 244),
|
||||
slab("36539702510912277", -230),
|
||||
slab("56819570380646536", -70),
|
||||
slab("42452693975546964", 175),
|
||||
slab("34248868699178663", 291),
|
||||
slab("34037810581283983", -267),
|
||||
slab("67135881167178176", -188),
|
||||
slab("74973710847373845", -108),
|
||||
slab("60272377639347644", -45),
|
||||
slab("1316415380484425", 116),
|
||||
slab("64433314612521525", 218),
|
||||
slab("31961502891542243", 263),
|
||||
slab("4407140524515149", 303),
|
||||
slab("69928982131052126", -291),
|
||||
slab("5331838923808276", -248),
|
||||
slab("24766435002945523", -208),
|
||||
slab("21509066976048781", -149),
|
||||
slab("2347200170470694", -123),
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||||
slab("3211858093283978", 57),
|
||||
slab("6423716186567956", 57),
|
||||
slab("4001624164855121", 63),
|
||||
slab("4064803033949531", 69),
|
||||
slab("8129606067899062", 69),
|
||||
slab("4384946084578497", 70),
|
||||
slab("2931818636417522", 71),
|
||||
slab("884658338944371", 71),
|
||||
slab("1769316677888742", 72),
|
||||
slab("3538633355777484", 72),
|
||||
slab("7077266711554968", 72),
|
||||
slab("43212228924638223", 74),
|
||||
slab("6637899075353826", 79),
|
||||
slab("36827466208126543", 84),
|
||||
slab("37208633675386937", 86),
|
||||
slab("39058878597126768", 88),
|
||||
slab("57654578150150385", 91),
|
||||
slab("5651538526623358", 104),
|
||||
slab("76658785488667984", 113),
|
||||
slab("4276892125056322", 114),
|
||||
slab("263283076096885", 116),
|
||||
slab("10531323043875399", 117),
|
||||
slab("42125292175501597", 117),
|
||||
slab("33700233740401277", 118),
|
||||
slab("44596066840334405", 125),
|
||||
slab("9727081811829489", 132),
|
||||
slab("61235700073843246", 135),
|
||||
slab("24494280029537298", 136),
|
||||
slab("4499029632233837", 137),
|
||||
slab("18341526859645389", 146),
|
||||
slab("2612787385440923", 147),
|
||||
slab("6834859331393543", 147),
|
||||
slab("70487976217301855", 153),
|
||||
slab("40366692112133834", 160),
|
||||
slab("64212034966059256", 166),
|
||||
slab("21226346987773482", 175),
|
||||
slab("51886190678901447", 189),
|
||||
slab("20754476271560579", 190),
|
||||
slab("83017905086242315", 190),
|
||||
slab("58960160560399056", 191),
|
||||
slab("66641177824100826", 194),
|
||||
slab("5493127645170153", 201),
|
||||
slab("39779219869333628", 209),
|
||||
slab("79558439738667255", 209),
|
||||
slab("50523702331566894", 210),
|
||||
slab("40933393326155808", 212),
|
||||
slab("81866786652311615", 212),
|
||||
slab("11987110132312231", 213),
|
||||
slab("23974220264624462", 213),
|
||||
slab("47948440529248924", 213),
|
||||
slab("8054164326565191", 217),
|
||||
slab("32216657306260762", 218),
|
||||
slab("30423431424080128", 219),
|
||||
};
|
||||
@ -1,606 +0,0 @@
|
||||
pub const HP = struct {
|
||||
val: f64,
|
||||
off: f64,
|
||||
};
|
||||
pub const lookup_table = [_]HP{
|
||||
HP{ .val = 1.000000e+308, .off = -1.097906362944045488e+291 },
|
||||
HP{ .val = 1.000000e+307, .off = 1.396894023974354241e+290 },
|
||||
HP{ .val = 1.000000e+306, .off = -1.721606459673645508e+289 },
|
||||
HP{ .val = 1.000000e+305, .off = 6.074644749446353973e+288 },
|
||||
HP{ .val = 1.000000e+304, .off = 6.074644749446353567e+287 },
|
||||
HP{ .val = 1.000000e+303, .off = -1.617650767864564452e+284 },
|
||||
HP{ .val = 1.000000e+302, .off = -7.629703079084895055e+285 },
|
||||
HP{ .val = 1.000000e+301, .off = -5.250476025520442286e+284 },
|
||||
HP{ .val = 1.000000e+300, .off = -5.250476025520441956e+283 },
|
||||
HP{ .val = 1.000000e+299, .off = -5.250476025520441750e+282 },
|
||||
HP{ .val = 1.000000e+298, .off = 4.043379652465702264e+281 },
|
||||
HP{ .val = 1.000000e+297, .off = -1.765280146275637946e+280 },
|
||||
HP{ .val = 1.000000e+296, .off = 1.865132227937699609e+279 },
|
||||
HP{ .val = 1.000000e+295, .off = 1.865132227937699609e+278 },
|
||||
HP{ .val = 1.000000e+294, .off = -6.643646774124810287e+277 },
|
||||
HP{ .val = 1.000000e+293, .off = 7.537651562646039934e+276 },
|
||||
HP{ .val = 1.000000e+292, .off = -1.325659897835741608e+275 },
|
||||
HP{ .val = 1.000000e+291, .off = 4.213909764965371606e+274 },
|
||||
HP{ .val = 1.000000e+290, .off = -6.172783352786715670e+273 },
|
||||
HP{ .val = 1.000000e+289, .off = -6.172783352786715670e+272 },
|
||||
HP{ .val = 1.000000e+288, .off = -7.630473539575035471e+270 },
|
||||
HP{ .val = 1.000000e+287, .off = -7.525217352494018700e+270 },
|
||||
HP{ .val = 1.000000e+286, .off = -3.298861103408696612e+269 },
|
||||
HP{ .val = 1.000000e+285, .off = 1.984084207947955778e+268 },
|
||||
HP{ .val = 1.000000e+284, .off = -7.921438250845767591e+267 },
|
||||
HP{ .val = 1.000000e+283, .off = 4.460464822646386735e+266 },
|
||||
HP{ .val = 1.000000e+282, .off = -3.278224598286209647e+265 },
|
||||
HP{ .val = 1.000000e+281, .off = -3.278224598286209737e+264 },
|
||||
HP{ .val = 1.000000e+280, .off = -3.278224598286209961e+263 },
|
||||
HP{ .val = 1.000000e+279, .off = -5.797329227496039232e+262 },
|
||||
HP{ .val = 1.000000e+278, .off = 3.649313132040821498e+261 },
|
||||
HP{ .val = 1.000000e+277, .off = -2.867878510995372374e+259 },
|
||||
HP{ .val = 1.000000e+276, .off = -5.206914080024985409e+259 },
|
||||
HP{ .val = 1.000000e+275, .off = 4.018322599210230404e+258 },
|
||||
HP{ .val = 1.000000e+274, .off = 7.862171215558236495e+257 },
|
||||
HP{ .val = 1.000000e+273, .off = 5.459765830340732821e+256 },
|
||||
HP{ .val = 1.000000e+272, .off = -6.552261095746788047e+255 },
|
||||
HP{ .val = 1.000000e+271, .off = 4.709014147460262298e+254 },
|
||||
HP{ .val = 1.000000e+270, .off = -4.675381888545612729e+253 },
|
||||
HP{ .val = 1.000000e+269, .off = -4.675381888545612892e+252 },
|
||||
HP{ .val = 1.000000e+268, .off = 2.656177514583977380e+251 },
|
||||
HP{ .val = 1.000000e+267, .off = 2.656177514583977190e+250 },
|
||||
HP{ .val = 1.000000e+266, .off = -3.071603269111014892e+249 },
|
||||
HP{ .val = 1.000000e+265, .off = -6.651466258920385440e+248 },
|
||||
HP{ .val = 1.000000e+264, .off = -4.414051890289528972e+247 },
|
||||
HP{ .val = 1.000000e+263, .off = -1.617283929500958387e+246 },
|
||||
HP{ .val = 1.000000e+262, .off = -1.617283929500958241e+245 },
|
||||
HP{ .val = 1.000000e+261, .off = 7.122615947963323868e+244 },
|
||||
HP{ .val = 1.000000e+260, .off = -6.533477610574617382e+243 },
|
||||
HP{ .val = 1.000000e+259, .off = 7.122615947963323982e+242 },
|
||||
HP{ .val = 1.000000e+258, .off = -5.679971763165996225e+241 },
|
||||
HP{ .val = 1.000000e+257, .off = -3.012765990014054219e+240 },
|
||||
HP{ .val = 1.000000e+256, .off = -3.012765990014054219e+239 },
|
||||
HP{ .val = 1.000000e+255, .off = 1.154743030535854616e+238 },
|
||||
HP{ .val = 1.000000e+254, .off = 6.364129306223240767e+237 },
|
||||
HP{ .val = 1.000000e+253, .off = 6.364129306223241129e+236 },
|
||||
HP{ .val = 1.000000e+252, .off = -9.915202805299840595e+235 },
|
||||
HP{ .val = 1.000000e+251, .off = -4.827911520448877980e+234 },
|
||||
HP{ .val = 1.000000e+250, .off = 7.890316691678530146e+233 },
|
||||
HP{ .val = 1.000000e+249, .off = 7.890316691678529484e+232 },
|
||||
HP{ .val = 1.000000e+248, .off = -4.529828046727141859e+231 },
|
||||
HP{ .val = 1.000000e+247, .off = 4.785280507077111924e+230 },
|
||||
HP{ .val = 1.000000e+246, .off = -6.858605185178205305e+229 },
|
||||
HP{ .val = 1.000000e+245, .off = -4.432795665958347728e+228 },
|
||||
HP{ .val = 1.000000e+244, .off = -7.465057564983169531e+227 },
|
||||
HP{ .val = 1.000000e+243, .off = -7.465057564983169741e+226 },
|
||||
HP{ .val = 1.000000e+242, .off = -5.096102956370027445e+225 },
|
||||
HP{ .val = 1.000000e+241, .off = -5.096102956370026952e+224 },
|
||||
HP{ .val = 1.000000e+240, .off = -1.394611380411992474e+223 },
|
||||
HP{ .val = 1.000000e+239, .off = 9.188208545617793960e+221 },
|
||||
HP{ .val = 1.000000e+238, .off = -4.864759732872650359e+221 },
|
||||
HP{ .val = 1.000000e+237, .off = 5.979453868566904629e+220 },
|
||||
HP{ .val = 1.000000e+236, .off = -5.316601966265964857e+219 },
|
||||
HP{ .val = 1.000000e+235, .off = -5.316601966265964701e+218 },
|
||||
HP{ .val = 1.000000e+234, .off = -1.786584517880693123e+217 },
|
||||
HP{ .val = 1.000000e+233, .off = 2.625937292600896716e+216 },
|
||||
HP{ .val = 1.000000e+232, .off = -5.647541102052084079e+215 },
|
||||
HP{ .val = 1.000000e+231, .off = -5.647541102052083888e+214 },
|
||||
HP{ .val = 1.000000e+230, .off = -9.956644432600511943e+213 },
|
||||
HP{ .val = 1.000000e+229, .off = 8.161138937705571862e+211 },
|
||||
HP{ .val = 1.000000e+228, .off = 7.549087847752475275e+211 },
|
||||
HP{ .val = 1.000000e+227, .off = -9.283347037202319948e+210 },
|
||||
HP{ .val = 1.000000e+226, .off = 3.866992716668613820e+209 },
|
||||
HP{ .val = 1.000000e+225, .off = 7.154577655136347262e+208 },
|
||||
HP{ .val = 1.000000e+224, .off = 3.045096482051680688e+207 },
|
||||
HP{ .val = 1.000000e+223, .off = -4.660180717482069567e+206 },
|
||||
HP{ .val = 1.000000e+222, .off = -4.660180717482070101e+205 },
|
||||
HP{ .val = 1.000000e+221, .off = -4.660180717482069544e+204 },
|
||||
HP{ .val = 1.000000e+220, .off = 3.562757926310489022e+202 },
|
||||
HP{ .val = 1.000000e+219, .off = 3.491561111451748149e+202 },
|
||||
HP{ .val = 1.000000e+218, .off = -8.265758834125874135e+201 },
|
||||
HP{ .val = 1.000000e+217, .off = 3.981449442517482365e+200 },
|
||||
HP{ .val = 1.000000e+216, .off = -2.142154695804195936e+199 },
|
||||
HP{ .val = 1.000000e+215, .off = 9.339603063548950188e+198 },
|
||||
HP{ .val = 1.000000e+214, .off = 4.555537330485139746e+197 },
|
||||
HP{ .val = 1.000000e+213, .off = 1.565496247320257804e+196 },
|
||||
HP{ .val = 1.000000e+212, .off = 9.040598955232462036e+195 },
|
||||
HP{ .val = 1.000000e+211, .off = 4.368659762787334780e+194 },
|
||||
HP{ .val = 1.000000e+210, .off = 7.288621758065539072e+193 },
|
||||
HP{ .val = 1.000000e+209, .off = -7.311188218325485628e+192 },
|
||||
HP{ .val = 1.000000e+208, .off = 1.813693016918905189e+191 },
|
||||
HP{ .val = 1.000000e+207, .off = -3.889357755108838992e+190 },
|
||||
HP{ .val = 1.000000e+206, .off = -3.889357755108838992e+189 },
|
||||
HP{ .val = 1.000000e+205, .off = -1.661603547285501360e+188 },
|
||||
HP{ .val = 1.000000e+204, .off = 1.123089212493670643e+187 },
|
||||
HP{ .val = 1.000000e+203, .off = 1.123089212493670643e+186 },
|
||||
HP{ .val = 1.000000e+202, .off = 9.825254086803583029e+185 },
|
||||
HP{ .val = 1.000000e+201, .off = -3.771878529305654999e+184 },
|
||||
HP{ .val = 1.000000e+200, .off = 3.026687778748963675e+183 },
|
||||
HP{ .val = 1.000000e+199, .off = -9.720624048853446693e+182 },
|
||||
HP{ .val = 1.000000e+198, .off = -1.753554156601940139e+181 },
|
||||
HP{ .val = 1.000000e+197, .off = 4.885670753607648963e+180 },
|
||||
HP{ .val = 1.000000e+196, .off = 4.885670753607648963e+179 },
|
||||
HP{ .val = 1.000000e+195, .off = 2.292223523057028076e+178 },
|
||||
HP{ .val = 1.000000e+194, .off = 5.534032561245303825e+177 },
|
||||
HP{ .val = 1.000000e+193, .off = -6.622751331960730683e+176 },
|
||||
HP{ .val = 1.000000e+192, .off = -4.090088020876139692e+175 },
|
||||
HP{ .val = 1.000000e+191, .off = -7.255917159731877552e+174 },
|
||||
HP{ .val = 1.000000e+190, .off = -7.255917159731877992e+173 },
|
||||
HP{ .val = 1.000000e+189, .off = -2.309309130269787104e+172 },
|
||||
HP{ .val = 1.000000e+188, .off = -2.309309130269787019e+171 },
|
||||
HP{ .val = 1.000000e+187, .off = 9.284303438781988230e+170 },
|
||||
HP{ .val = 1.000000e+186, .off = 2.038295583124628364e+169 },
|
||||
HP{ .val = 1.000000e+185, .off = 2.038295583124628532e+168 },
|
||||
HP{ .val = 1.000000e+184, .off = -1.735666841696912925e+167 },
|
||||
HP{ .val = 1.000000e+183, .off = 5.340512704843477241e+166 },
|
||||
HP{ .val = 1.000000e+182, .off = -6.453119872723839321e+165 },
|
||||
HP{ .val = 1.000000e+181, .off = 8.288920849235306587e+164 },
|
||||
HP{ .val = 1.000000e+180, .off = -9.248546019891598293e+162 },
|
||||
HP{ .val = 1.000000e+179, .off = 1.954450226518486016e+162 },
|
||||
HP{ .val = 1.000000e+178, .off = -5.243811844750628197e+161 },
|
||||
HP{ .val = 1.000000e+177, .off = -7.448980502074320639e+159 },
|
||||
HP{ .val = 1.000000e+176, .off = -7.448980502074319858e+158 },
|
||||
HP{ .val = 1.000000e+175, .off = 6.284654753766312753e+158 },
|
||||
HP{ .val = 1.000000e+174, .off = -6.895756753684458388e+157 },
|
||||
HP{ .val = 1.000000e+173, .off = -1.403918625579970616e+156 },
|
||||
HP{ .val = 1.000000e+172, .off = -8.268716285710580522e+155 },
|
||||
HP{ .val = 1.000000e+171, .off = 4.602779327034313170e+154 },
|
||||
HP{ .val = 1.000000e+170, .off = -3.441905430931244940e+153 },
|
||||
HP{ .val = 1.000000e+169, .off = 6.613950516525702884e+152 },
|
||||
HP{ .val = 1.000000e+168, .off = 6.613950516525702652e+151 },
|
||||
HP{ .val = 1.000000e+167, .off = -3.860899428741951187e+150 },
|
||||
HP{ .val = 1.000000e+166, .off = 5.959272394946474605e+149 },
|
||||
HP{ .val = 1.000000e+165, .off = 1.005101065481665103e+149 },
|
||||
HP{ .val = 1.000000e+164, .off = -1.783349948587918355e+146 },
|
||||
HP{ .val = 1.000000e+163, .off = 6.215006036188360099e+146 },
|
||||
HP{ .val = 1.000000e+162, .off = 6.215006036188360099e+145 },
|
||||
HP{ .val = 1.000000e+161, .off = -3.774589324822814903e+144 },
|
||||
HP{ .val = 1.000000e+160, .off = -6.528407745068226929e+142 },
|
||||
HP{ .val = 1.000000e+159, .off = 7.151530601283157561e+142 },
|
||||
HP{ .val = 1.000000e+158, .off = 4.712664546348788765e+141 },
|
||||
HP{ .val = 1.000000e+157, .off = 1.664081977680827856e+140 },
|
||||
HP{ .val = 1.000000e+156, .off = 1.664081977680827750e+139 },
|
||||
HP{ .val = 1.000000e+155, .off = -7.176231540910168265e+137 },
|
||||
HP{ .val = 1.000000e+154, .off = -3.694754568805822650e+137 },
|
||||
HP{ .val = 1.000000e+153, .off = 2.665969958768462622e+134 },
|
||||
HP{ .val = 1.000000e+152, .off = -4.625108135904199522e+135 },
|
||||
HP{ .val = 1.000000e+151, .off = -1.717753238721771919e+134 },
|
||||
HP{ .val = 1.000000e+150, .off = 1.916440382756262433e+133 },
|
||||
HP{ .val = 1.000000e+149, .off = -4.897672657515052040e+132 },
|
||||
HP{ .val = 1.000000e+148, .off = -4.897672657515052198e+131 },
|
||||
HP{ .val = 1.000000e+147, .off = 2.200361759434233991e+130 },
|
||||
HP{ .val = 1.000000e+146, .off = 6.636633270027537273e+129 },
|
||||
HP{ .val = 1.000000e+145, .off = 1.091293881785907977e+128 },
|
||||
HP{ .val = 1.000000e+144, .off = -2.374543235865110597e+127 },
|
||||
HP{ .val = 1.000000e+143, .off = -2.374543235865110537e+126 },
|
||||
HP{ .val = 1.000000e+142, .off = -5.082228484029969099e+125 },
|
||||
HP{ .val = 1.000000e+141, .off = -1.697621923823895943e+124 },
|
||||
HP{ .val = 1.000000e+140, .off = -5.928380124081487212e+123 },
|
||||
HP{ .val = 1.000000e+139, .off = -3.284156248920492522e+122 },
|
||||
HP{ .val = 1.000000e+138, .off = -3.284156248920492706e+121 },
|
||||
HP{ .val = 1.000000e+137, .off = -3.284156248920492476e+120 },
|
||||
HP{ .val = 1.000000e+136, .off = -5.866406127007401066e+119 },
|
||||
HP{ .val = 1.000000e+135, .off = 3.817030915818506056e+118 },
|
||||
HP{ .val = 1.000000e+134, .off = 7.851796350329300951e+117 },
|
||||
HP{ .val = 1.000000e+133, .off = -2.235117235947686077e+116 },
|
||||
HP{ .val = 1.000000e+132, .off = 9.170432597638723691e+114 },
|
||||
HP{ .val = 1.000000e+131, .off = 8.797444499042767883e+114 },
|
||||
HP{ .val = 1.000000e+130, .off = -5.978307824605161274e+113 },
|
||||
HP{ .val = 1.000000e+129, .off = 1.782556435814758516e+111 },
|
||||
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||||
HP{ .val = 1.000000e-90, .off = 5.062493089968513723e-108 },
|
||||
HP{ .val = 1.000000e-91, .off = -2.218844988608365240e-108 },
|
||||
HP{ .val = 1.000000e-92, .off = 1.187522883398155383e-109 },
|
||||
HP{ .val = 1.000000e-93, .off = 9.703442563414457296e-110 },
|
||||
HP{ .val = 1.000000e-94, .off = 4.380992763404268896e-111 },
|
||||
HP{ .val = 1.000000e-95, .off = 1.054461638397900823e-112 },
|
||||
HP{ .val = 1.000000e-96, .off = 9.370789450913819736e-113 },
|
||||
HP{ .val = 1.000000e-97, .off = -3.623472756142303998e-114 },
|
||||
HP{ .val = 1.000000e-98, .off = 6.122223899149788839e-115 },
|
||||
HP{ .val = 1.000000e-99, .off = -1.999189980260288281e-116 },
|
||||
HP{ .val = 1.000000e-100, .off = -1.999189980260288281e-117 },
|
||||
HP{ .val = 1.000000e-101, .off = -5.171617276904849634e-118 },
|
||||
HP{ .val = 1.000000e-102, .off = 6.724985085512256320e-119 },
|
||||
HP{ .val = 1.000000e-103, .off = 4.246526260008692213e-120 },
|
||||
HP{ .val = 1.000000e-104, .off = 7.344599791888147003e-121 },
|
||||
HP{ .val = 1.000000e-105, .off = 3.472007877038828407e-122 },
|
||||
HP{ .val = 1.000000e-106, .off = 5.892377823819652194e-123 },
|
||||
HP{ .val = 1.000000e-107, .off = -1.585470431324073925e-125 },
|
||||
HP{ .val = 1.000000e-108, .off = -3.940375084977444795e-125 },
|
||||
HP{ .val = 1.000000e-109, .off = 7.869099673288519908e-127 },
|
||||
HP{ .val = 1.000000e-110, .off = -5.122196348054018581e-127 },
|
||||
HP{ .val = 1.000000e-111, .off = -8.815387795168313713e-128 },
|
||||
HP{ .val = 1.000000e-112, .off = 5.034080131510290214e-129 },
|
||||
HP{ .val = 1.000000e-113, .off = 2.148774313452247863e-130 },
|
||||
HP{ .val = 1.000000e-114, .off = -5.064490231692858416e-131 },
|
||||
HP{ .val = 1.000000e-115, .off = -5.064490231692858166e-132 },
|
||||
HP{ .val = 1.000000e-116, .off = 5.708726942017560559e-134 },
|
||||
HP{ .val = 1.000000e-117, .off = -2.951229134482377772e-134 },
|
||||
HP{ .val = 1.000000e-118, .off = 1.451398151372789513e-135 },
|
||||
HP{ .val = 1.000000e-119, .off = -1.300243902286690040e-136 },
|
||||
HP{ .val = 1.000000e-120, .off = 2.139308664787659449e-137 },
|
||||
HP{ .val = 1.000000e-121, .off = 2.139308664787659329e-138 },
|
||||
HP{ .val = 1.000000e-122, .off = -5.922142664292847471e-139 },
|
||||
HP{ .val = 1.000000e-123, .off = -5.922142664292846912e-140 },
|
||||
HP{ .val = 1.000000e-124, .off = 6.673875037395443799e-141 },
|
||||
HP{ .val = 1.000000e-125, .off = -1.198636026159737932e-142 },
|
||||
HP{ .val = 1.000000e-126, .off = 5.361789860136246995e-143 },
|
||||
HP{ .val = 1.000000e-127, .off = -2.838742497733733936e-144 },
|
||||
HP{ .val = 1.000000e-128, .off = -5.401408859568103261e-145 },
|
||||
HP{ .val = 1.000000e-129, .off = 7.411922949603743011e-146 },
|
||||
HP{ .val = 1.000000e-130, .off = -8.604741811861064385e-147 },
|
||||
HP{ .val = 1.000000e-131, .off = 1.405673664054439890e-148 },
|
||||
HP{ .val = 1.000000e-132, .off = 1.405673664054439933e-149 },
|
||||
HP{ .val = 1.000000e-133, .off = -6.414963426504548053e-150 },
|
||||
HP{ .val = 1.000000e-134, .off = -3.971014335704864578e-151 },
|
||||
HP{ .val = 1.000000e-135, .off = -3.971014335704864748e-152 },
|
||||
HP{ .val = 1.000000e-136, .off = -1.523438813303585576e-154 },
|
||||
HP{ .val = 1.000000e-137, .off = 2.234325152653707766e-154 },
|
||||
HP{ .val = 1.000000e-138, .off = -6.715683724786540160e-155 },
|
||||
HP{ .val = 1.000000e-139, .off = -2.986513359186437306e-156 },
|
||||
HP{ .val = 1.000000e-140, .off = 1.674949597813692102e-157 },
|
||||
HP{ .val = 1.000000e-141, .off = -4.151879098436469092e-158 },
|
||||
HP{ .val = 1.000000e-142, .off = -4.151879098436469295e-159 },
|
||||
HP{ .val = 1.000000e-143, .off = 4.952540739454407825e-160 },
|
||||
HP{ .val = 1.000000e-144, .off = 4.952540739454407667e-161 },
|
||||
HP{ .val = 1.000000e-145, .off = 8.508954738630531443e-162 },
|
||||
HP{ .val = 1.000000e-146, .off = -2.604839008794855481e-163 },
|
||||
HP{ .val = 1.000000e-147, .off = 2.952057864917838382e-164 },
|
||||
HP{ .val = 1.000000e-148, .off = 6.425118410988271757e-165 },
|
||||
HP{ .val = 1.000000e-149, .off = 2.083792728400229858e-166 },
|
||||
HP{ .val = 1.000000e-150, .off = -6.295358232172964237e-168 },
|
||||
HP{ .val = 1.000000e-151, .off = 6.153785555826519421e-168 },
|
||||
HP{ .val = 1.000000e-152, .off = -6.564942029880634994e-169 },
|
||||
HP{ .val = 1.000000e-153, .off = -3.915207116191644540e-170 },
|
||||
HP{ .val = 1.000000e-154, .off = 2.709130168030831503e-171 },
|
||||
HP{ .val = 1.000000e-155, .off = -1.431080634608215966e-172 },
|
||||
HP{ .val = 1.000000e-156, .off = -4.018712386257620994e-173 },
|
||||
HP{ .val = 1.000000e-157, .off = 5.684906682427646782e-174 },
|
||||
HP{ .val = 1.000000e-158, .off = -6.444617153428937489e-175 },
|
||||
HP{ .val = 1.000000e-159, .off = 1.136335243981427681e-176 },
|
||||
HP{ .val = 1.000000e-160, .off = 1.136335243981427725e-177 },
|
||||
HP{ .val = 1.000000e-161, .off = -2.812077463003137395e-178 },
|
||||
HP{ .val = 1.000000e-162, .off = 4.591196362592922204e-179 },
|
||||
HP{ .val = 1.000000e-163, .off = 7.675893789924613703e-180 },
|
||||
HP{ .val = 1.000000e-164, .off = 3.820022005759999543e-181 },
|
||||
HP{ .val = 1.000000e-165, .off = -9.998177244457686588e-183 },
|
||||
HP{ .val = 1.000000e-166, .off = -4.012217555824373639e-183 },
|
||||
HP{ .val = 1.000000e-167, .off = -2.467177666011174334e-185 },
|
||||
HP{ .val = 1.000000e-168, .off = -4.953592503130188139e-185 },
|
||||
HP{ .val = 1.000000e-169, .off = -2.011795792799518887e-186 },
|
||||
HP{ .val = 1.000000e-170, .off = 1.665450095113817423e-187 },
|
||||
HP{ .val = 1.000000e-171, .off = 1.665450095113817487e-188 },
|
||||
HP{ .val = 1.000000e-172, .off = -4.080246604750770577e-189 },
|
||||
HP{ .val = 1.000000e-173, .off = -4.080246604750770677e-190 },
|
||||
HP{ .val = 1.000000e-174, .off = 4.085789420184387951e-192 },
|
||||
HP{ .val = 1.000000e-175, .off = 4.085789420184388146e-193 },
|
||||
HP{ .val = 1.000000e-176, .off = 4.085789420184388146e-194 },
|
||||
HP{ .val = 1.000000e-177, .off = 4.792197640035244894e-194 },
|
||||
HP{ .val = 1.000000e-178, .off = 4.792197640035244742e-195 },
|
||||
HP{ .val = 1.000000e-179, .off = -2.057206575616014662e-196 },
|
||||
HP{ .val = 1.000000e-180, .off = -2.057206575616014662e-197 },
|
||||
HP{ .val = 1.000000e-181, .off = -4.732755097354788053e-198 },
|
||||
HP{ .val = 1.000000e-182, .off = -4.732755097354787867e-199 },
|
||||
HP{ .val = 1.000000e-183, .off = -5.522105321379546765e-201 },
|
||||
HP{ .val = 1.000000e-184, .off = -5.777891238658996019e-201 },
|
||||
HP{ .val = 1.000000e-185, .off = 7.542096444923057046e-203 },
|
||||
HP{ .val = 1.000000e-186, .off = 8.919335748431433483e-203 },
|
||||
HP{ .val = 1.000000e-187, .off = -1.287071881492476028e-204 },
|
||||
HP{ .val = 1.000000e-188, .off = 5.091932887209967018e-205 },
|
||||
HP{ .val = 1.000000e-189, .off = -6.868701054107114024e-206 },
|
||||
HP{ .val = 1.000000e-190, .off = -1.885103578558330118e-207 },
|
||||
HP{ .val = 1.000000e-191, .off = -1.885103578558330205e-208 },
|
||||
HP{ .val = 1.000000e-192, .off = -9.671974634103305058e-209 },
|
||||
HP{ .val = 1.000000e-193, .off = -4.805180224387695640e-210 },
|
||||
HP{ .val = 1.000000e-194, .off = -1.763433718315439838e-211 },
|
||||
HP{ .val = 1.000000e-195, .off = -9.367799983496079132e-212 },
|
||||
HP{ .val = 1.000000e-196, .off = -4.615071067758179837e-213 },
|
||||
HP{ .val = 1.000000e-197, .off = 1.325840076914194777e-214 },
|
||||
HP{ .val = 1.000000e-198, .off = 8.751979007754662425e-215 },
|
||||
HP{ .val = 1.000000e-199, .off = 1.789973760091724198e-216 },
|
||||
HP{ .val = 1.000000e-200, .off = 1.789973760091724077e-217 },
|
||||
HP{ .val = 1.000000e-201, .off = 5.416018159916171171e-218 },
|
||||
HP{ .val = 1.000000e-202, .off = -3.649092839644947067e-219 },
|
||||
HP{ .val = 1.000000e-203, .off = -3.649092839644947067e-220 },
|
||||
HP{ .val = 1.000000e-204, .off = -1.080338554413850956e-222 },
|
||||
HP{ .val = 1.000000e-205, .off = -1.080338554413850841e-223 },
|
||||
HP{ .val = 1.000000e-206, .off = -2.874486186850417807e-223 },
|
||||
HP{ .val = 1.000000e-207, .off = 7.499710055933455072e-224 },
|
||||
HP{ .val = 1.000000e-208, .off = -9.790617015372999087e-225 },
|
||||
HP{ .val = 1.000000e-209, .off = -4.387389805589732612e-226 },
|
||||
HP{ .val = 1.000000e-210, .off = -4.387389805589732612e-227 },
|
||||
HP{ .val = 1.000000e-211, .off = -8.608661063232909897e-228 },
|
||||
HP{ .val = 1.000000e-212, .off = 4.582811616902018972e-229 },
|
||||
HP{ .val = 1.000000e-213, .off = 4.582811616902019155e-230 },
|
||||
HP{ .val = 1.000000e-214, .off = 8.705146829444184930e-231 },
|
||||
HP{ .val = 1.000000e-215, .off = -4.177150709750081830e-232 },
|
||||
HP{ .val = 1.000000e-216, .off = -4.177150709750082366e-233 },
|
||||
HP{ .val = 1.000000e-217, .off = -8.202868690748290237e-234 },
|
||||
HP{ .val = 1.000000e-218, .off = -3.170721214500530119e-235 },
|
||||
HP{ .val = 1.000000e-219, .off = -3.170721214500529857e-236 },
|
||||
HP{ .val = 1.000000e-220, .off = 7.606440013180328441e-238 },
|
||||
HP{ .val = 1.000000e-221, .off = -1.696459258568569049e-238 },
|
||||
HP{ .val = 1.000000e-222, .off = -4.767838333426821244e-239 },
|
||||
HP{ .val = 1.000000e-223, .off = 2.910609353718809138e-240 },
|
||||
HP{ .val = 1.000000e-224, .off = -1.888420450747209784e-241 },
|
||||
HP{ .val = 1.000000e-225, .off = 4.110366804835314035e-242 },
|
||||
HP{ .val = 1.000000e-226, .off = 7.859608839574391006e-243 },
|
||||
HP{ .val = 1.000000e-227, .off = 5.516332567862468419e-244 },
|
||||
HP{ .val = 1.000000e-228, .off = -3.270953451057244613e-245 },
|
||||
HP{ .val = 1.000000e-229, .off = -6.932322625607124670e-246 },
|
||||
HP{ .val = 1.000000e-230, .off = -4.643966891513449762e-247 },
|
||||
HP{ .val = 1.000000e-231, .off = 1.076922443720738305e-248 },
|
||||
HP{ .val = 1.000000e-232, .off = -2.498633390800628939e-249 },
|
||||
HP{ .val = 1.000000e-233, .off = 4.205533798926934891e-250 },
|
||||
HP{ .val = 1.000000e-234, .off = 4.205533798926934891e-251 },
|
||||
HP{ .val = 1.000000e-235, .off = 4.205533798926934697e-252 },
|
||||
HP{ .val = 1.000000e-236, .off = -4.523850562697497656e-253 },
|
||||
HP{ .val = 1.000000e-237, .off = 9.320146633177728298e-255 },
|
||||
HP{ .val = 1.000000e-238, .off = 9.320146633177728062e-256 },
|
||||
HP{ .val = 1.000000e-239, .off = -7.592774752331086440e-256 },
|
||||
HP{ .val = 1.000000e-240, .off = 3.063212017229987840e-257 },
|
||||
HP{ .val = 1.000000e-241, .off = 3.063212017229987562e-258 },
|
||||
HP{ .val = 1.000000e-242, .off = 3.063212017229987562e-259 },
|
||||
HP{ .val = 1.000000e-243, .off = 4.616527473176159842e-261 },
|
||||
HP{ .val = 1.000000e-244, .off = 6.965550922098544975e-261 },
|
||||
HP{ .val = 1.000000e-245, .off = 6.965550922098544749e-262 },
|
||||
HP{ .val = 1.000000e-246, .off = 4.424965697574744679e-263 },
|
||||
HP{ .val = 1.000000e-247, .off = -1.926497363734756420e-264 },
|
||||
HP{ .val = 1.000000e-248, .off = 2.043167049583681740e-265 },
|
||||
HP{ .val = 1.000000e-249, .off = -5.399953725388390154e-266 },
|
||||
HP{ .val = 1.000000e-250, .off = -5.399953725388389982e-267 },
|
||||
HP{ .val = 1.000000e-251, .off = -1.523328321757102663e-268 },
|
||||
HP{ .val = 1.000000e-252, .off = 5.745344310051561161e-269 },
|
||||
HP{ .val = 1.000000e-253, .off = -6.369110076296211879e-270 },
|
||||
HP{ .val = 1.000000e-254, .off = 8.773957906638504842e-271 },
|
||||
HP{ .val = 1.000000e-255, .off = -6.904595826956931908e-273 },
|
||||
HP{ .val = 1.000000e-256, .off = 2.267170882721243669e-273 },
|
||||
HP{ .val = 1.000000e-257, .off = 2.267170882721243669e-274 },
|
||||
HP{ .val = 1.000000e-258, .off = 4.577819683828225398e-275 },
|
||||
HP{ .val = 1.000000e-259, .off = -6.975424321706684210e-276 },
|
||||
HP{ .val = 1.000000e-260, .off = 3.855741933482293648e-277 },
|
||||
HP{ .val = 1.000000e-261, .off = 1.599248963651256552e-278 },
|
||||
HP{ .val = 1.000000e-262, .off = -1.221367248637539543e-279 },
|
||||
HP{ .val = 1.000000e-263, .off = -1.221367248637539494e-280 },
|
||||
HP{ .val = 1.000000e-264, .off = -1.221367248637539647e-281 },
|
||||
HP{ .val = 1.000000e-265, .off = 1.533140771175737943e-282 },
|
||||
HP{ .val = 1.000000e-266, .off = 1.533140771175737895e-283 },
|
||||
HP{ .val = 1.000000e-267, .off = 1.533140771175738074e-284 },
|
||||
HP{ .val = 1.000000e-268, .off = 4.223090009274641634e-285 },
|
||||
HP{ .val = 1.000000e-269, .off = 4.223090009274641634e-286 },
|
||||
HP{ .val = 1.000000e-270, .off = -4.183001359784432924e-287 },
|
||||
HP{ .val = 1.000000e-271, .off = 3.697709298708449474e-288 },
|
||||
HP{ .val = 1.000000e-272, .off = 6.981338739747150474e-289 },
|
||||
HP{ .val = 1.000000e-273, .off = -9.436808465446354751e-290 },
|
||||
HP{ .val = 1.000000e-274, .off = 3.389869038611071740e-291 },
|
||||
HP{ .val = 1.000000e-275, .off = 6.596538414625427829e-292 },
|
||||
HP{ .val = 1.000000e-276, .off = -9.436808465446354618e-293 },
|
||||
HP{ .val = 1.000000e-277, .off = 3.089243784609725523e-294 },
|
||||
HP{ .val = 1.000000e-278, .off = 6.220756847123745836e-295 },
|
||||
HP{ .val = 1.000000e-279, .off = -5.522417137303829470e-296 },
|
||||
HP{ .val = 1.000000e-280, .off = 4.263561183052483059e-297 },
|
||||
HP{ .val = 1.000000e-281, .off = -1.852675267170212272e-298 },
|
||||
HP{ .val = 1.000000e-282, .off = -1.852675267170212378e-299 },
|
||||
HP{ .val = 1.000000e-283, .off = 5.314789322934508480e-300 },
|
||||
HP{ .val = 1.000000e-284, .off = -3.644541414696392675e-301 },
|
||||
HP{ .val = 1.000000e-285, .off = -7.377595888709267777e-302 },
|
||||
HP{ .val = 1.000000e-286, .off = -5.044436842451220838e-303 },
|
||||
HP{ .val = 1.000000e-287, .off = -2.127988034628661760e-304 },
|
||||
HP{ .val = 1.000000e-288, .off = -5.773549044406860911e-305 },
|
||||
HP{ .val = 1.000000e-289, .off = -1.216597782184112068e-306 },
|
||||
HP{ .val = 1.000000e-290, .off = -6.912786859962547924e-307 },
|
||||
HP{ .val = 1.000000e-291, .off = 3.767567660872018813e-308 },
|
||||
};
|
||||
1131
lib/std/fmt/ryu128.zig
Normal file
1131
lib/std/fmt/ryu128.zig
Normal file
File diff suppressed because it is too large
Load Diff
@ -213,7 +213,7 @@ test "Value.jsonStringify" {
|
||||
\\ true,
|
||||
\\ 42,
|
||||
\\ 43,
|
||||
\\ 4.2e+01,
|
||||
\\ 4.2e1,
|
||||
\\ "weeee",
|
||||
\\ [
|
||||
\\ 1,
|
||||
|
||||
@ -74,16 +74,16 @@ fn testBasicWriteStream(w: anytype, slice_stream: anytype) !void {
|
||||
\\{
|
||||
\\ "object": {
|
||||
\\ "one": 1,
|
||||
\\ "two": 2.0e+00
|
||||
\\ "two": 2e0
|
||||
\\ },
|
||||
\\ "string": "This is a string",
|
||||
\\ "array": [
|
||||
\\ "Another string",
|
||||
\\ 1,
|
||||
\\ 3.5e+00
|
||||
\\ 3.5e0
|
||||
\\ ],
|
||||
\\ "int": 10,
|
||||
\\ "float": 3.5e+00
|
||||
\\ "float": 3.5e0
|
||||
\\}
|
||||
;
|
||||
try std.testing.expectEqualStrings(expected, result);
|
||||
@ -123,12 +123,12 @@ test "stringify basic types" {
|
||||
try testStringify("null", @as(?u8, null), .{});
|
||||
try testStringify("null", @as(?*u32, null), .{});
|
||||
try testStringify("42", 42, .{});
|
||||
try testStringify("4.2e+01", 42.0, .{});
|
||||
try testStringify("4.2e1", 42.0, .{});
|
||||
try testStringify("42", @as(u8, 42), .{});
|
||||
try testStringify("42", @as(u128, 42), .{});
|
||||
try testStringify("9999999999999999", 9999999999999999, .{});
|
||||
try testStringify("4.2e+01", @as(f32, 42), .{});
|
||||
try testStringify("4.2e+01", @as(f64, 42), .{});
|
||||
try testStringify("4.2e1", @as(f32, 42), .{});
|
||||
try testStringify("4.2e1", @as(f64, 42), .{});
|
||||
try testStringify("\"ItBroke\"", @as(anyerror, error.ItBroke), .{});
|
||||
try testStringify("\"ItBroke\"", error.ItBroke, .{});
|
||||
}
|
||||
|
||||
@ -2658,19 +2658,19 @@ fn binOpBigInt(func: *CodeGen, lhs: WValue, rhs: WValue, ty: Type, op: Op) Inner
|
||||
.rem => return func.callIntrinsic("__umodti3", &.{ ty.toIntern(), ty.toIntern() }, ty, &.{ lhs, rhs }),
|
||||
.shr => return func.callIntrinsic("__lshrti3", &.{ ty.toIntern(), .i32_type }, ty, &.{ lhs, rhs }),
|
||||
.shl => return func.callIntrinsic("__ashlti3", &.{ ty.toIntern(), .i32_type }, ty, &.{ lhs, rhs }),
|
||||
.xor => {
|
||||
.@"and", .@"or", .xor => {
|
||||
const result = try func.allocStack(ty);
|
||||
try func.emitWValue(result);
|
||||
const lhs_high_bit = try func.load(lhs, Type.u64, 0);
|
||||
const rhs_high_bit = try func.load(rhs, Type.u64, 0);
|
||||
const xor_high_bit = try func.binOp(lhs_high_bit, rhs_high_bit, Type.u64, .xor);
|
||||
try func.store(.stack, xor_high_bit, Type.u64, result.offset());
|
||||
const op_high_bit = try func.binOp(lhs_high_bit, rhs_high_bit, Type.u64, op);
|
||||
try func.store(.stack, op_high_bit, Type.u64, result.offset());
|
||||
|
||||
try func.emitWValue(result);
|
||||
const lhs_low_bit = try func.load(lhs, Type.u64, 8);
|
||||
const rhs_low_bit = try func.load(rhs, Type.u64, 8);
|
||||
const xor_low_bit = try func.binOp(lhs_low_bit, rhs_low_bit, Type.u64, .xor);
|
||||
try func.store(.stack, xor_low_bit, Type.u64, result.offset() + 8);
|
||||
const op_low_bit = try func.binOp(lhs_low_bit, rhs_low_bit, Type.u64, op);
|
||||
try func.store(.stack, op_low_bit, Type.u64, result.offset() + 8);
|
||||
return result;
|
||||
},
|
||||
.add, .sub => {
|
||||
|
||||
@ -2,7 +2,7 @@ const std = @import("std");
|
||||
|
||||
pub fn panic(message: []const u8, stack_trace: ?*std.builtin.StackTrace, _: ?usize) noreturn {
|
||||
_ = stack_trace;
|
||||
if (std.mem.eql(u8, message, "sentinel mismatch: expected 1.20000004e+00, found 4.0e+00")) {
|
||||
if (std.mem.eql(u8, message, "sentinel mismatch: expected 1.2e0, found 4e0")) {
|
||||
std.process.exit(0);
|
||||
}
|
||||
std.process.exit(1);
|
||||
|
||||
Loading…
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Reference in New Issue
Block a user