pub const Normalized = structfraction: Fractionexponent: Normalized.Exponentpub fn reconstruct(normalized: Normalized, sign: std.math.Sign) FloatThis currently truncates denormal values, which needs to be fixed before this can be used to produce a rounded value.
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136 pub const Normalized = struct {
fraction: Fraction,
exponent: Normalized.Exponent,
pub const Fraction = @Int(.unsigned, fractional_bits);
pub const Exponent = @Int(.signed, 1 + exponent_bits);
/// This currently truncates denormal values, which needs to be fixed before this can be used to
/// produce a rounded value.
pub fn reconstruct(normalized: Normalized, sign: std.math.Sign) Float {
if (normalized.exponent > comptime BiasedExponent.max_normal.unbias()) return @bitCast(Repr{
.mantissa = 0,
.exponent = .infinite,
.sign = sign,
});
const mantissa = @as(Mantissa, 1 << fractional_bits) | normalized.fraction;
if (normalized.exponent < comptime BiasedExponent.min_normal.unbias()) return @bitCast(Repr{
.mantissa = @truncate(std.math.shr(
Mantissa,
mantissa,
(comptime BiasedExponent.min_normal.unbias()) - normalized.exponent,
)),
.exponent = .denormal,
.sign = sign,
});
return @bitCast(Repr{
.mantissa = @truncate(mantissa),
.exponent = .bias(@intCast(normalized.exponent)),
.sign = sign,
});
}
}