reduceSignificand

reduceSignificand(a: number, bits: number): number

Defined in basic/reduce-significand.ts:17

Truncates a floating point value's significand and returns the result. Similar to split, but with the ability to specify the number of bits to keep.

Theorem 17 (Veltkamp-Dekker): Let a be a p-bit floating-point number, where p >= 3. Choose a splitting point s such that p/2 <= s <= p-1. Then the following algorithm will produce a (p-s)-bit value a_hi and a nonoverlapping (s-1)-bit value a_lo such that abs(a_hi) >= abs(a_lo) and a = a_hi + a_lo.

• see Shewchuk

Parameters:

Name	Type	Description
a	number	a double
bits	number	the number of significand bits to leave intact

Returns: number