RRO : Range Reduction Operator FP

Format

SPA 5.0:
        {@{!}Pg}   RRO.mode   Rd,{-}{|}Sb{|}   {&req_6}   {?sched}   ;   

 .mode:      { .SINCOS, .EX2 } 
             .mode controls SIN/COS or EX2 encoding:
               SINCOS(0): for SIN or COS
               EX2(1):    for EX2.

The following source Sb is allowed:
    Sb(register)
    Sb(constant with immediate address)
    Sb(#IMM20<<12)

Denorm input Sb is flushed to sign preserving 0.0. The source has optional neg/abs.

Description

Range reduction operator.

RRO must be called to reduce the range and encode the source value before calling MUFU.SIN/MUFU.COS or MUFU.EX2. Input for SIN/COS is in radians.

SIN/COS Destination encoding:

S:U01	0	UNUSED:U05	Quadrant:U02	Fraction:U23 (of quadrant)
S:U01	1	UNUSED:U05	00:NaN	UNUSED:U23
S:U01	1	UNUSED:U05	01:Inf	UNUSED:U23

Sign applies to quadrant and fraction
Quadrant is unsigned 2b (CCW from +x,y=0, if positive)
Fraction is unsigned 23b (CCW if positive) of the quadrant.

EX2:

S:U01	0	Integer:U07		Fraction:U23 (of integer)
S:U01	1	UNUSED:U05	00:NaN	UNUSED:U23
S:U01	1	UNUSED:U05	01:Inf	UNUSED:U23

Sign applies to integer and fraction
Integer is unsigned 7b (0-127)
Fraction is unsigned 23b

Examples:

RRO.EX2    R0, R1;
RRO.SINCOS R1, -c[3][4560];

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