lt-core/lt-stdlib/float.lt
2024-06-11 15:17:58 +02:00

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export {
/* Platform Specific Types */
type machine.Float16 = IEEE-754.half ~ <machine.Bits 16>;
type machine.Float32 = IEEE-754.single ~ <machine.Bits 32>;
type machine.Float64 = IEEE-754.double ~ <machine.Bits 64>;
overload + = λ{
a: ~ machine.Float16 ;
b: ~ machine.Float16 ;
} -> ~ machine.Float16 ↦ {
machine.Float16.add a b;
};
overload * = λ{
a: ~ machine.Float16 ;
b: ~ machine.Float16 ;
} -> ~ machine.Float16 ↦ {
machine.Float16.mul a b;
};
let Sign = enum { Positive; Negative; };
let Sign.Positive : <machine.Bits 1> = 0;
let Sign.Negative : <machine.Bits 1> = 1;
let softfloat16-mul = λ{
{
a.sign: Sign
~ <machine.Bits 1>
;
a.exponent: _[-14,15]
~ <BiasedInt -14>
~ _32
~ <PosInt 2 BigEndian>
~ <Seq <Digit 2>~Bit >
~ <machine.Bits 5>
;
a.significand: _2048
~ <PosInt 2 BigEndian>
~ <Seq <Digit2> ~ Bit>
~ <machine.Bits 11>
;
} :
~ IEEE-754.Half
~ <machine.Bits 16>
;
{
b.sign: <machine.Bits 1>;
} : ~ IEEE-754.Half ~ <machine.Bits 16> ;
} -> result: ~ IEEE~754.Half ~ <machine.Bits 16> ↦ {
/* 1. unify */
/* 2. add exponent */
+ a.exponent b.exponent;
/* 3. normaize */
result.sign = bit-xor a.sign b.sign ;
}
}