1*4882a593Smuzhiyun // SPDX-License-Identifier: GPL-2.0-or-later
2*4882a593Smuzhiyun /*
3*4882a593Smuzhiyun * Linux/PA-RISC Project (http://www.parisc-linux.org/)
4*4882a593Smuzhiyun *
5*4882a593Smuzhiyun * Floating-point emulation code
6*4882a593Smuzhiyun * Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org>
7*4882a593Smuzhiyun */
8*4882a593Smuzhiyun /*
9*4882a593Smuzhiyun * BEGIN_DESC
10*4882a593Smuzhiyun *
11*4882a593Smuzhiyun * File:
12*4882a593Smuzhiyun * @(#) pa/spmath/fmpyfadd.c $Revision: 1.1 $
13*4882a593Smuzhiyun *
14*4882a593Smuzhiyun * Purpose:
15*4882a593Smuzhiyun * Double Floating-point Multiply Fused Add
16*4882a593Smuzhiyun * Double Floating-point Multiply Negate Fused Add
17*4882a593Smuzhiyun * Single Floating-point Multiply Fused Add
18*4882a593Smuzhiyun * Single Floating-point Multiply Negate Fused Add
19*4882a593Smuzhiyun *
20*4882a593Smuzhiyun * External Interfaces:
21*4882a593Smuzhiyun * dbl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
22*4882a593Smuzhiyun * dbl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
23*4882a593Smuzhiyun * sgl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
24*4882a593Smuzhiyun * sgl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
25*4882a593Smuzhiyun *
26*4882a593Smuzhiyun * Internal Interfaces:
27*4882a593Smuzhiyun *
28*4882a593Smuzhiyun * Theory:
29*4882a593Smuzhiyun * <<please update with a overview of the operation of this file>>
30*4882a593Smuzhiyun *
31*4882a593Smuzhiyun * END_DESC
32*4882a593Smuzhiyun */
33*4882a593Smuzhiyun
34*4882a593Smuzhiyun
35*4882a593Smuzhiyun #include "float.h"
36*4882a593Smuzhiyun #include "sgl_float.h"
37*4882a593Smuzhiyun #include "dbl_float.h"
38*4882a593Smuzhiyun
39*4882a593Smuzhiyun
40*4882a593Smuzhiyun /*
41*4882a593Smuzhiyun * Double Floating-point Multiply Fused Add
42*4882a593Smuzhiyun */
43*4882a593Smuzhiyun
44*4882a593Smuzhiyun int
dbl_fmpyfadd(dbl_floating_point * src1ptr,dbl_floating_point * src2ptr,dbl_floating_point * src3ptr,unsigned int * status,dbl_floating_point * dstptr)45*4882a593Smuzhiyun dbl_fmpyfadd(
46*4882a593Smuzhiyun dbl_floating_point *src1ptr,
47*4882a593Smuzhiyun dbl_floating_point *src2ptr,
48*4882a593Smuzhiyun dbl_floating_point *src3ptr,
49*4882a593Smuzhiyun unsigned int *status,
50*4882a593Smuzhiyun dbl_floating_point *dstptr)
51*4882a593Smuzhiyun {
52*4882a593Smuzhiyun unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2, opnd3p1, opnd3p2;
53*4882a593Smuzhiyun register unsigned int tmpresp1, tmpresp2, tmpresp3, tmpresp4;
54*4882a593Smuzhiyun unsigned int rightp1, rightp2, rightp3, rightp4;
55*4882a593Smuzhiyun unsigned int resultp1, resultp2 = 0, resultp3 = 0, resultp4 = 0;
56*4882a593Smuzhiyun register int mpy_exponent, add_exponent, count;
57*4882a593Smuzhiyun boolean inexact = FALSE, is_tiny = FALSE;
58*4882a593Smuzhiyun
59*4882a593Smuzhiyun unsigned int signlessleft1, signlessright1, save;
60*4882a593Smuzhiyun register int result_exponent, diff_exponent;
61*4882a593Smuzhiyun int sign_save, jumpsize;
62*4882a593Smuzhiyun
63*4882a593Smuzhiyun Dbl_copyfromptr(src1ptr,opnd1p1,opnd1p2);
64*4882a593Smuzhiyun Dbl_copyfromptr(src2ptr,opnd2p1,opnd2p2);
65*4882a593Smuzhiyun Dbl_copyfromptr(src3ptr,opnd3p1,opnd3p2);
66*4882a593Smuzhiyun
67*4882a593Smuzhiyun /*
68*4882a593Smuzhiyun * set sign bit of result of multiply
69*4882a593Smuzhiyun */
70*4882a593Smuzhiyun if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
71*4882a593Smuzhiyun Dbl_setnegativezerop1(resultp1);
72*4882a593Smuzhiyun else Dbl_setzerop1(resultp1);
73*4882a593Smuzhiyun
74*4882a593Smuzhiyun /*
75*4882a593Smuzhiyun * Generate multiply exponent
76*4882a593Smuzhiyun */
77*4882a593Smuzhiyun mpy_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) - DBL_BIAS;
78*4882a593Smuzhiyun
79*4882a593Smuzhiyun /*
80*4882a593Smuzhiyun * check first operand for NaN's or infinity
81*4882a593Smuzhiyun */
82*4882a593Smuzhiyun if (Dbl_isinfinity_exponent(opnd1p1)) {
83*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
84*4882a593Smuzhiyun if (Dbl_isnotnan(opnd2p1,opnd2p2) &&
85*4882a593Smuzhiyun Dbl_isnotnan(opnd3p1,opnd3p2)) {
86*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
87*4882a593Smuzhiyun /*
88*4882a593Smuzhiyun * invalid since operands are infinity
89*4882a593Smuzhiyun * and zero
90*4882a593Smuzhiyun */
91*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
92*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
93*4882a593Smuzhiyun Set_invalidflag();
94*4882a593Smuzhiyun Dbl_makequietnan(resultp1,resultp2);
95*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
96*4882a593Smuzhiyun return(NOEXCEPTION);
97*4882a593Smuzhiyun }
98*4882a593Smuzhiyun /*
99*4882a593Smuzhiyun * Check third operand for infinity with a
100*4882a593Smuzhiyun * sign opposite of the multiply result
101*4882a593Smuzhiyun */
102*4882a593Smuzhiyun if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
103*4882a593Smuzhiyun (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
104*4882a593Smuzhiyun /*
105*4882a593Smuzhiyun * invalid since attempting a magnitude
106*4882a593Smuzhiyun * subtraction of infinities
107*4882a593Smuzhiyun */
108*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
109*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
110*4882a593Smuzhiyun Set_invalidflag();
111*4882a593Smuzhiyun Dbl_makequietnan(resultp1,resultp2);
112*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
113*4882a593Smuzhiyun return(NOEXCEPTION);
114*4882a593Smuzhiyun }
115*4882a593Smuzhiyun
116*4882a593Smuzhiyun /*
117*4882a593Smuzhiyun * return infinity
118*4882a593Smuzhiyun */
119*4882a593Smuzhiyun Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
120*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
121*4882a593Smuzhiyun return(NOEXCEPTION);
122*4882a593Smuzhiyun }
123*4882a593Smuzhiyun }
124*4882a593Smuzhiyun else {
125*4882a593Smuzhiyun /*
126*4882a593Smuzhiyun * is NaN; signaling or quiet?
127*4882a593Smuzhiyun */
128*4882a593Smuzhiyun if (Dbl_isone_signaling(opnd1p1)) {
129*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
130*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
131*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
132*4882a593Smuzhiyun /* make NaN quiet */
133*4882a593Smuzhiyun Set_invalidflag();
134*4882a593Smuzhiyun Dbl_set_quiet(opnd1p1);
135*4882a593Smuzhiyun }
136*4882a593Smuzhiyun /*
137*4882a593Smuzhiyun * is second operand a signaling NaN?
138*4882a593Smuzhiyun */
139*4882a593Smuzhiyun else if (Dbl_is_signalingnan(opnd2p1)) {
140*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
141*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
142*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
143*4882a593Smuzhiyun /* make NaN quiet */
144*4882a593Smuzhiyun Set_invalidflag();
145*4882a593Smuzhiyun Dbl_set_quiet(opnd2p1);
146*4882a593Smuzhiyun Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
147*4882a593Smuzhiyun return(NOEXCEPTION);
148*4882a593Smuzhiyun }
149*4882a593Smuzhiyun /*
150*4882a593Smuzhiyun * is third operand a signaling NaN?
151*4882a593Smuzhiyun */
152*4882a593Smuzhiyun else if (Dbl_is_signalingnan(opnd3p1)) {
153*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
154*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
155*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
156*4882a593Smuzhiyun /* make NaN quiet */
157*4882a593Smuzhiyun Set_invalidflag();
158*4882a593Smuzhiyun Dbl_set_quiet(opnd3p1);
159*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
160*4882a593Smuzhiyun return(NOEXCEPTION);
161*4882a593Smuzhiyun }
162*4882a593Smuzhiyun /*
163*4882a593Smuzhiyun * return quiet NaN
164*4882a593Smuzhiyun */
165*4882a593Smuzhiyun Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
166*4882a593Smuzhiyun return(NOEXCEPTION);
167*4882a593Smuzhiyun }
168*4882a593Smuzhiyun }
169*4882a593Smuzhiyun
170*4882a593Smuzhiyun /*
171*4882a593Smuzhiyun * check second operand for NaN's or infinity
172*4882a593Smuzhiyun */
173*4882a593Smuzhiyun if (Dbl_isinfinity_exponent(opnd2p1)) {
174*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
175*4882a593Smuzhiyun if (Dbl_isnotnan(opnd3p1,opnd3p2)) {
176*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
177*4882a593Smuzhiyun /*
178*4882a593Smuzhiyun * invalid since multiply operands are
179*4882a593Smuzhiyun * zero & infinity
180*4882a593Smuzhiyun */
181*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
182*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
183*4882a593Smuzhiyun Set_invalidflag();
184*4882a593Smuzhiyun Dbl_makequietnan(opnd2p1,opnd2p2);
185*4882a593Smuzhiyun Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
186*4882a593Smuzhiyun return(NOEXCEPTION);
187*4882a593Smuzhiyun }
188*4882a593Smuzhiyun
189*4882a593Smuzhiyun /*
190*4882a593Smuzhiyun * Check third operand for infinity with a
191*4882a593Smuzhiyun * sign opposite of the multiply result
192*4882a593Smuzhiyun */
193*4882a593Smuzhiyun if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
194*4882a593Smuzhiyun (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
195*4882a593Smuzhiyun /*
196*4882a593Smuzhiyun * invalid since attempting a magnitude
197*4882a593Smuzhiyun * subtraction of infinities
198*4882a593Smuzhiyun */
199*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
200*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
201*4882a593Smuzhiyun Set_invalidflag();
202*4882a593Smuzhiyun Dbl_makequietnan(resultp1,resultp2);
203*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
204*4882a593Smuzhiyun return(NOEXCEPTION);
205*4882a593Smuzhiyun }
206*4882a593Smuzhiyun
207*4882a593Smuzhiyun /*
208*4882a593Smuzhiyun * return infinity
209*4882a593Smuzhiyun */
210*4882a593Smuzhiyun Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
211*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
212*4882a593Smuzhiyun return(NOEXCEPTION);
213*4882a593Smuzhiyun }
214*4882a593Smuzhiyun }
215*4882a593Smuzhiyun else {
216*4882a593Smuzhiyun /*
217*4882a593Smuzhiyun * is NaN; signaling or quiet?
218*4882a593Smuzhiyun */
219*4882a593Smuzhiyun if (Dbl_isone_signaling(opnd2p1)) {
220*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
221*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
222*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
223*4882a593Smuzhiyun /* make NaN quiet */
224*4882a593Smuzhiyun Set_invalidflag();
225*4882a593Smuzhiyun Dbl_set_quiet(opnd2p1);
226*4882a593Smuzhiyun }
227*4882a593Smuzhiyun /*
228*4882a593Smuzhiyun * is third operand a signaling NaN?
229*4882a593Smuzhiyun */
230*4882a593Smuzhiyun else if (Dbl_is_signalingnan(opnd3p1)) {
231*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
232*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
233*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
234*4882a593Smuzhiyun /* make NaN quiet */
235*4882a593Smuzhiyun Set_invalidflag();
236*4882a593Smuzhiyun Dbl_set_quiet(opnd3p1);
237*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
238*4882a593Smuzhiyun return(NOEXCEPTION);
239*4882a593Smuzhiyun }
240*4882a593Smuzhiyun /*
241*4882a593Smuzhiyun * return quiet NaN
242*4882a593Smuzhiyun */
243*4882a593Smuzhiyun Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
244*4882a593Smuzhiyun return(NOEXCEPTION);
245*4882a593Smuzhiyun }
246*4882a593Smuzhiyun }
247*4882a593Smuzhiyun
248*4882a593Smuzhiyun /*
249*4882a593Smuzhiyun * check third operand for NaN's or infinity
250*4882a593Smuzhiyun */
251*4882a593Smuzhiyun if (Dbl_isinfinity_exponent(opnd3p1)) {
252*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
253*4882a593Smuzhiyun /* return infinity */
254*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
255*4882a593Smuzhiyun return(NOEXCEPTION);
256*4882a593Smuzhiyun } else {
257*4882a593Smuzhiyun /*
258*4882a593Smuzhiyun * is NaN; signaling or quiet?
259*4882a593Smuzhiyun */
260*4882a593Smuzhiyun if (Dbl_isone_signaling(opnd3p1)) {
261*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
262*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
263*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
264*4882a593Smuzhiyun /* make NaN quiet */
265*4882a593Smuzhiyun Set_invalidflag();
266*4882a593Smuzhiyun Dbl_set_quiet(opnd3p1);
267*4882a593Smuzhiyun }
268*4882a593Smuzhiyun /*
269*4882a593Smuzhiyun * return quiet NaN
270*4882a593Smuzhiyun */
271*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
272*4882a593Smuzhiyun return(NOEXCEPTION);
273*4882a593Smuzhiyun }
274*4882a593Smuzhiyun }
275*4882a593Smuzhiyun
276*4882a593Smuzhiyun /*
277*4882a593Smuzhiyun * Generate multiply mantissa
278*4882a593Smuzhiyun */
279*4882a593Smuzhiyun if (Dbl_isnotzero_exponent(opnd1p1)) {
280*4882a593Smuzhiyun /* set hidden bit */
281*4882a593Smuzhiyun Dbl_clear_signexponent_set_hidden(opnd1p1);
282*4882a593Smuzhiyun }
283*4882a593Smuzhiyun else {
284*4882a593Smuzhiyun /* check for zero */
285*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
286*4882a593Smuzhiyun /*
287*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
288*4882a593Smuzhiyun */
289*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
290*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
291*4882a593Smuzhiyun Dbl_or_signs(opnd3p1,resultp1);
292*4882a593Smuzhiyun } else {
293*4882a593Smuzhiyun Dbl_and_signs(opnd3p1,resultp1);
294*4882a593Smuzhiyun }
295*4882a593Smuzhiyun }
296*4882a593Smuzhiyun /*
297*4882a593Smuzhiyun * Now let's check for trapped underflow case.
298*4882a593Smuzhiyun */
299*4882a593Smuzhiyun else if (Dbl_iszero_exponent(opnd3p1) &&
300*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
301*4882a593Smuzhiyun /* need to normalize results mantissa */
302*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(opnd3p1);
303*4882a593Smuzhiyun result_exponent = 0;
304*4882a593Smuzhiyun Dbl_leftshiftby1(opnd3p1,opnd3p2);
305*4882a593Smuzhiyun Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
306*4882a593Smuzhiyun Dbl_set_sign(opnd3p1,/*using*/sign_save);
307*4882a593Smuzhiyun Dbl_setwrapped_exponent(opnd3p1,result_exponent,
308*4882a593Smuzhiyun unfl);
309*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
310*4882a593Smuzhiyun /* inexact = FALSE */
311*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
312*4882a593Smuzhiyun }
313*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
314*4882a593Smuzhiyun return(NOEXCEPTION);
315*4882a593Smuzhiyun }
316*4882a593Smuzhiyun /* is denormalized, adjust exponent */
317*4882a593Smuzhiyun Dbl_clear_signexponent(opnd1p1);
318*4882a593Smuzhiyun Dbl_leftshiftby1(opnd1p1,opnd1p2);
319*4882a593Smuzhiyun Dbl_normalize(opnd1p1,opnd1p2,mpy_exponent);
320*4882a593Smuzhiyun }
321*4882a593Smuzhiyun /* opnd2 needs to have hidden bit set with msb in hidden bit */
322*4882a593Smuzhiyun if (Dbl_isnotzero_exponent(opnd2p1)) {
323*4882a593Smuzhiyun Dbl_clear_signexponent_set_hidden(opnd2p1);
324*4882a593Smuzhiyun }
325*4882a593Smuzhiyun else {
326*4882a593Smuzhiyun /* check for zero */
327*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
328*4882a593Smuzhiyun /*
329*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
330*4882a593Smuzhiyun */
331*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
332*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
333*4882a593Smuzhiyun Dbl_or_signs(opnd3p1,resultp1);
334*4882a593Smuzhiyun } else {
335*4882a593Smuzhiyun Dbl_and_signs(opnd3p1,resultp1);
336*4882a593Smuzhiyun }
337*4882a593Smuzhiyun }
338*4882a593Smuzhiyun /*
339*4882a593Smuzhiyun * Now let's check for trapped underflow case.
340*4882a593Smuzhiyun */
341*4882a593Smuzhiyun else if (Dbl_iszero_exponent(opnd3p1) &&
342*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
343*4882a593Smuzhiyun /* need to normalize results mantissa */
344*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(opnd3p1);
345*4882a593Smuzhiyun result_exponent = 0;
346*4882a593Smuzhiyun Dbl_leftshiftby1(opnd3p1,opnd3p2);
347*4882a593Smuzhiyun Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
348*4882a593Smuzhiyun Dbl_set_sign(opnd3p1,/*using*/sign_save);
349*4882a593Smuzhiyun Dbl_setwrapped_exponent(opnd3p1,result_exponent,
350*4882a593Smuzhiyun unfl);
351*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
352*4882a593Smuzhiyun /* inexact = FALSE */
353*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
354*4882a593Smuzhiyun }
355*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
356*4882a593Smuzhiyun return(NOEXCEPTION);
357*4882a593Smuzhiyun }
358*4882a593Smuzhiyun /* is denormalized; want to normalize */
359*4882a593Smuzhiyun Dbl_clear_signexponent(opnd2p1);
360*4882a593Smuzhiyun Dbl_leftshiftby1(opnd2p1,opnd2p2);
361*4882a593Smuzhiyun Dbl_normalize(opnd2p1,opnd2p2,mpy_exponent);
362*4882a593Smuzhiyun }
363*4882a593Smuzhiyun
364*4882a593Smuzhiyun /* Multiply the first two source mantissas together */
365*4882a593Smuzhiyun
366*4882a593Smuzhiyun /*
367*4882a593Smuzhiyun * The intermediate result will be kept in tmpres,
368*4882a593Smuzhiyun * which needs enough room for 106 bits of mantissa,
369*4882a593Smuzhiyun * so lets call it a Double extended.
370*4882a593Smuzhiyun */
371*4882a593Smuzhiyun Dblext_setzero(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
372*4882a593Smuzhiyun
373*4882a593Smuzhiyun /*
374*4882a593Smuzhiyun * Four bits at a time are inspected in each loop, and a
375*4882a593Smuzhiyun * simple shift and add multiply algorithm is used.
376*4882a593Smuzhiyun */
377*4882a593Smuzhiyun for (count = DBL_P-1; count >= 0; count -= 4) {
378*4882a593Smuzhiyun Dblext_rightshiftby4(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
379*4882a593Smuzhiyun if (Dbit28p2(opnd1p2)) {
380*4882a593Smuzhiyun /* Fourword_add should be an ADD followed by 3 ADDC's */
381*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
382*4882a593Smuzhiyun opnd2p1<<3 | opnd2p2>>29, opnd2p2<<3, 0, 0);
383*4882a593Smuzhiyun }
384*4882a593Smuzhiyun if (Dbit29p2(opnd1p2)) {
385*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
386*4882a593Smuzhiyun opnd2p1<<2 | opnd2p2>>30, opnd2p2<<2, 0, 0);
387*4882a593Smuzhiyun }
388*4882a593Smuzhiyun if (Dbit30p2(opnd1p2)) {
389*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
390*4882a593Smuzhiyun opnd2p1<<1 | opnd2p2>>31, opnd2p2<<1, 0, 0);
391*4882a593Smuzhiyun }
392*4882a593Smuzhiyun if (Dbit31p2(opnd1p2)) {
393*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
394*4882a593Smuzhiyun opnd2p1, opnd2p2, 0, 0);
395*4882a593Smuzhiyun }
396*4882a593Smuzhiyun Dbl_rightshiftby4(opnd1p1,opnd1p2);
397*4882a593Smuzhiyun }
398*4882a593Smuzhiyun if (Is_dexthiddenoverflow(tmpresp1)) {
399*4882a593Smuzhiyun /* result mantissa >= 2 (mantissa overflow) */
400*4882a593Smuzhiyun mpy_exponent++;
401*4882a593Smuzhiyun Dblext_rightshiftby1(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
402*4882a593Smuzhiyun }
403*4882a593Smuzhiyun
404*4882a593Smuzhiyun /*
405*4882a593Smuzhiyun * Restore the sign of the mpy result which was saved in resultp1.
406*4882a593Smuzhiyun * The exponent will continue to be kept in mpy_exponent.
407*4882a593Smuzhiyun */
408*4882a593Smuzhiyun Dblext_set_sign(tmpresp1,Dbl_sign(resultp1));
409*4882a593Smuzhiyun
410*4882a593Smuzhiyun /*
411*4882a593Smuzhiyun * No rounding is required, since the result of the multiply
412*4882a593Smuzhiyun * is exact in the extended format.
413*4882a593Smuzhiyun */
414*4882a593Smuzhiyun
415*4882a593Smuzhiyun /*
416*4882a593Smuzhiyun * Now we are ready to perform the add portion of the operation.
417*4882a593Smuzhiyun *
418*4882a593Smuzhiyun * The exponents need to be kept as integers for now, since the
419*4882a593Smuzhiyun * multiply result might not fit into the exponent field. We
420*4882a593Smuzhiyun * can't overflow or underflow because of this yet, since the
421*4882a593Smuzhiyun * add could bring the final result back into range.
422*4882a593Smuzhiyun */
423*4882a593Smuzhiyun add_exponent = Dbl_exponent(opnd3p1);
424*4882a593Smuzhiyun
425*4882a593Smuzhiyun /*
426*4882a593Smuzhiyun * Check for denormalized or zero add operand.
427*4882a593Smuzhiyun */
428*4882a593Smuzhiyun if (add_exponent == 0) {
429*4882a593Smuzhiyun /* check for zero */
430*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
431*4882a593Smuzhiyun /* right is zero */
432*4882a593Smuzhiyun /* Left can't be zero and must be result.
433*4882a593Smuzhiyun *
434*4882a593Smuzhiyun * The final result is now in tmpres and mpy_exponent,
435*4882a593Smuzhiyun * and needs to be rounded and squeezed back into
436*4882a593Smuzhiyun * double precision format from double extended.
437*4882a593Smuzhiyun */
438*4882a593Smuzhiyun result_exponent = mpy_exponent;
439*4882a593Smuzhiyun Dblext_copy(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
440*4882a593Smuzhiyun resultp1,resultp2,resultp3,resultp4);
441*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(resultp1);/*save sign*/
442*4882a593Smuzhiyun goto round;
443*4882a593Smuzhiyun }
444*4882a593Smuzhiyun
445*4882a593Smuzhiyun /*
446*4882a593Smuzhiyun * Neither are zeroes.
447*4882a593Smuzhiyun * Adjust exponent and normalize add operand.
448*4882a593Smuzhiyun */
449*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(opnd3p1); /* save sign */
450*4882a593Smuzhiyun Dbl_clear_signexponent(opnd3p1);
451*4882a593Smuzhiyun Dbl_leftshiftby1(opnd3p1,opnd3p2);
452*4882a593Smuzhiyun Dbl_normalize(opnd3p1,opnd3p2,add_exponent);
453*4882a593Smuzhiyun Dbl_set_sign(opnd3p1,sign_save); /* restore sign */
454*4882a593Smuzhiyun } else {
455*4882a593Smuzhiyun Dbl_clear_exponent_set_hidden(opnd3p1);
456*4882a593Smuzhiyun }
457*4882a593Smuzhiyun /*
458*4882a593Smuzhiyun * Copy opnd3 to the double extended variable called right.
459*4882a593Smuzhiyun */
460*4882a593Smuzhiyun Dbl_copyto_dblext(opnd3p1,opnd3p2,rightp1,rightp2,rightp3,rightp4);
461*4882a593Smuzhiyun
462*4882a593Smuzhiyun /*
463*4882a593Smuzhiyun * A zero "save" helps discover equal operands (for later),
464*4882a593Smuzhiyun * and is used in swapping operands (if needed).
465*4882a593Smuzhiyun */
466*4882a593Smuzhiyun Dblext_xortointp1(tmpresp1,rightp1,/*to*/save);
467*4882a593Smuzhiyun
468*4882a593Smuzhiyun /*
469*4882a593Smuzhiyun * Compare magnitude of operands.
470*4882a593Smuzhiyun */
471*4882a593Smuzhiyun Dblext_copytoint_exponentmantissap1(tmpresp1,signlessleft1);
472*4882a593Smuzhiyun Dblext_copytoint_exponentmantissap1(rightp1,signlessright1);
473*4882a593Smuzhiyun if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
474*4882a593Smuzhiyun Dblext_ismagnitudeless(tmpresp2,rightp2,signlessleft1,signlessright1)){
475*4882a593Smuzhiyun /*
476*4882a593Smuzhiyun * Set the left operand to the larger one by XOR swap.
477*4882a593Smuzhiyun * First finish the first word "save".
478*4882a593Smuzhiyun */
479*4882a593Smuzhiyun Dblext_xorfromintp1(save,rightp1,/*to*/rightp1);
480*4882a593Smuzhiyun Dblext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
481*4882a593Smuzhiyun Dblext_swap_lower(tmpresp2,tmpresp3,tmpresp4,
482*4882a593Smuzhiyun rightp2,rightp3,rightp4);
483*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
484*4882a593Smuzhiyun diff_exponent = add_exponent - mpy_exponent;
485*4882a593Smuzhiyun result_exponent = add_exponent;
486*4882a593Smuzhiyun } else {
487*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
488*4882a593Smuzhiyun diff_exponent = mpy_exponent - add_exponent;
489*4882a593Smuzhiyun result_exponent = mpy_exponent;
490*4882a593Smuzhiyun }
491*4882a593Smuzhiyun /* Invariant: left is not smaller than right. */
492*4882a593Smuzhiyun
493*4882a593Smuzhiyun /*
494*4882a593Smuzhiyun * Special case alignment of operands that would force alignment
495*4882a593Smuzhiyun * beyond the extent of the extension. A further optimization
496*4882a593Smuzhiyun * could special case this but only reduces the path length for
497*4882a593Smuzhiyun * this infrequent case.
498*4882a593Smuzhiyun */
499*4882a593Smuzhiyun if (diff_exponent > DBLEXT_THRESHOLD) {
500*4882a593Smuzhiyun diff_exponent = DBLEXT_THRESHOLD;
501*4882a593Smuzhiyun }
502*4882a593Smuzhiyun
503*4882a593Smuzhiyun /* Align right operand by shifting it to the right */
504*4882a593Smuzhiyun Dblext_clear_sign(rightp1);
505*4882a593Smuzhiyun Dblext_right_align(rightp1,rightp2,rightp3,rightp4,
506*4882a593Smuzhiyun /*shifted by*/diff_exponent);
507*4882a593Smuzhiyun
508*4882a593Smuzhiyun /* Treat sum and difference of the operands separately. */
509*4882a593Smuzhiyun if ((int)save < 0) {
510*4882a593Smuzhiyun /*
511*4882a593Smuzhiyun * Difference of the two operands. Overflow can occur if the
512*4882a593Smuzhiyun * multiply overflowed. A borrow can occur out of the hidden
513*4882a593Smuzhiyun * bit and force a post normalization phase.
514*4882a593Smuzhiyun */
515*4882a593Smuzhiyun Dblext_subtract(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
516*4882a593Smuzhiyun rightp1,rightp2,rightp3,rightp4,
517*4882a593Smuzhiyun resultp1,resultp2,resultp3,resultp4);
518*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(resultp1);
519*4882a593Smuzhiyun if (Dbl_iszero_hidden(resultp1)) {
520*4882a593Smuzhiyun /* Handle normalization */
521*4882a593Smuzhiyun /* A straightforward algorithm would now shift the
522*4882a593Smuzhiyun * result and extension left until the hidden bit
523*4882a593Smuzhiyun * becomes one. Not all of the extension bits need
524*4882a593Smuzhiyun * participate in the shift. Only the two most
525*4882a593Smuzhiyun * significant bits (round and guard) are needed.
526*4882a593Smuzhiyun * If only a single shift is needed then the guard
527*4882a593Smuzhiyun * bit becomes a significant low order bit and the
528*4882a593Smuzhiyun * extension must participate in the rounding.
529*4882a593Smuzhiyun * If more than a single shift is needed, then all
530*4882a593Smuzhiyun * bits to the right of the guard bit are zeros,
531*4882a593Smuzhiyun * and the guard bit may or may not be zero. */
532*4882a593Smuzhiyun Dblext_leftshiftby1(resultp1,resultp2,resultp3,
533*4882a593Smuzhiyun resultp4);
534*4882a593Smuzhiyun
535*4882a593Smuzhiyun /* Need to check for a zero result. The sign and
536*4882a593Smuzhiyun * exponent fields have already been zeroed. The more
537*4882a593Smuzhiyun * efficient test of the full object can be used.
538*4882a593Smuzhiyun */
539*4882a593Smuzhiyun if(Dblext_iszero(resultp1,resultp2,resultp3,resultp4)){
540*4882a593Smuzhiyun /* Must have been "x-x" or "x+(-x)". */
541*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS))
542*4882a593Smuzhiyun Dbl_setone_sign(resultp1);
543*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
544*4882a593Smuzhiyun return(NOEXCEPTION);
545*4882a593Smuzhiyun }
546*4882a593Smuzhiyun result_exponent--;
547*4882a593Smuzhiyun
548*4882a593Smuzhiyun /* Look to see if normalization is finished. */
549*4882a593Smuzhiyun if (Dbl_isone_hidden(resultp1)) {
550*4882a593Smuzhiyun /* No further normalization is needed */
551*4882a593Smuzhiyun goto round;
552*4882a593Smuzhiyun }
553*4882a593Smuzhiyun
554*4882a593Smuzhiyun /* Discover first one bit to determine shift amount.
555*4882a593Smuzhiyun * Use a modified binary search. We have already
556*4882a593Smuzhiyun * shifted the result one position right and still
557*4882a593Smuzhiyun * not found a one so the remainder of the extension
558*4882a593Smuzhiyun * must be zero and simplifies rounding. */
559*4882a593Smuzhiyun /* Scan bytes */
560*4882a593Smuzhiyun while (Dbl_iszero_hiddenhigh7mantissa(resultp1)) {
561*4882a593Smuzhiyun Dblext_leftshiftby8(resultp1,resultp2,resultp3,resultp4);
562*4882a593Smuzhiyun result_exponent -= 8;
563*4882a593Smuzhiyun }
564*4882a593Smuzhiyun /* Now narrow it down to the nibble */
565*4882a593Smuzhiyun if (Dbl_iszero_hiddenhigh3mantissa(resultp1)) {
566*4882a593Smuzhiyun /* The lower nibble contains the
567*4882a593Smuzhiyun * normalizing one */
568*4882a593Smuzhiyun Dblext_leftshiftby4(resultp1,resultp2,resultp3,resultp4);
569*4882a593Smuzhiyun result_exponent -= 4;
570*4882a593Smuzhiyun }
571*4882a593Smuzhiyun /* Select case where first bit is set (already
572*4882a593Smuzhiyun * normalized) otherwise select the proper shift. */
573*4882a593Smuzhiyun jumpsize = Dbl_hiddenhigh3mantissa(resultp1);
574*4882a593Smuzhiyun if (jumpsize <= 7) switch(jumpsize) {
575*4882a593Smuzhiyun case 1:
576*4882a593Smuzhiyun Dblext_leftshiftby3(resultp1,resultp2,resultp3,
577*4882a593Smuzhiyun resultp4);
578*4882a593Smuzhiyun result_exponent -= 3;
579*4882a593Smuzhiyun break;
580*4882a593Smuzhiyun case 2:
581*4882a593Smuzhiyun case 3:
582*4882a593Smuzhiyun Dblext_leftshiftby2(resultp1,resultp2,resultp3,
583*4882a593Smuzhiyun resultp4);
584*4882a593Smuzhiyun result_exponent -= 2;
585*4882a593Smuzhiyun break;
586*4882a593Smuzhiyun case 4:
587*4882a593Smuzhiyun case 5:
588*4882a593Smuzhiyun case 6:
589*4882a593Smuzhiyun case 7:
590*4882a593Smuzhiyun Dblext_leftshiftby1(resultp1,resultp2,resultp3,
591*4882a593Smuzhiyun resultp4);
592*4882a593Smuzhiyun result_exponent -= 1;
593*4882a593Smuzhiyun break;
594*4882a593Smuzhiyun }
595*4882a593Smuzhiyun } /* end if (hidden...)... */
596*4882a593Smuzhiyun /* Fall through and round */
597*4882a593Smuzhiyun } /* end if (save < 0)... */
598*4882a593Smuzhiyun else {
599*4882a593Smuzhiyun /* Add magnitudes */
600*4882a593Smuzhiyun Dblext_addition(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
601*4882a593Smuzhiyun rightp1,rightp2,rightp3,rightp4,
602*4882a593Smuzhiyun /*to*/resultp1,resultp2,resultp3,resultp4);
603*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(resultp1);
604*4882a593Smuzhiyun if (Dbl_isone_hiddenoverflow(resultp1)) {
605*4882a593Smuzhiyun /* Prenormalization required. */
606*4882a593Smuzhiyun Dblext_arithrightshiftby1(resultp1,resultp2,resultp3,
607*4882a593Smuzhiyun resultp4);
608*4882a593Smuzhiyun result_exponent++;
609*4882a593Smuzhiyun } /* end if hiddenoverflow... */
610*4882a593Smuzhiyun } /* end else ...add magnitudes... */
611*4882a593Smuzhiyun
612*4882a593Smuzhiyun /* Round the result. If the extension and lower two words are
613*4882a593Smuzhiyun * all zeros, then the result is exact. Otherwise round in the
614*4882a593Smuzhiyun * correct direction. Underflow is possible. If a postnormalization
615*4882a593Smuzhiyun * is necessary, then the mantissa is all zeros so no shift is needed.
616*4882a593Smuzhiyun */
617*4882a593Smuzhiyun round:
618*4882a593Smuzhiyun if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
619*4882a593Smuzhiyun Dblext_denormalize(resultp1,resultp2,resultp3,resultp4,
620*4882a593Smuzhiyun result_exponent,is_tiny);
621*4882a593Smuzhiyun }
622*4882a593Smuzhiyun Dbl_set_sign(resultp1,/*using*/sign_save);
623*4882a593Smuzhiyun if (Dblext_isnotzero_mantissap3(resultp3) ||
624*4882a593Smuzhiyun Dblext_isnotzero_mantissap4(resultp4)) {
625*4882a593Smuzhiyun inexact = TRUE;
626*4882a593Smuzhiyun switch(Rounding_mode()) {
627*4882a593Smuzhiyun case ROUNDNEAREST: /* The default. */
628*4882a593Smuzhiyun if (Dblext_isone_highp3(resultp3)) {
629*4882a593Smuzhiyun /* at least 1/2 ulp */
630*4882a593Smuzhiyun if (Dblext_isnotzero_low31p3(resultp3) ||
631*4882a593Smuzhiyun Dblext_isnotzero_mantissap4(resultp4) ||
632*4882a593Smuzhiyun Dblext_isone_lowp2(resultp2)) {
633*4882a593Smuzhiyun /* either exactly half way and odd or
634*4882a593Smuzhiyun * more than 1/2ulp */
635*4882a593Smuzhiyun Dbl_increment(resultp1,resultp2);
636*4882a593Smuzhiyun }
637*4882a593Smuzhiyun }
638*4882a593Smuzhiyun break;
639*4882a593Smuzhiyun
640*4882a593Smuzhiyun case ROUNDPLUS:
641*4882a593Smuzhiyun if (Dbl_iszero_sign(resultp1)) {
642*4882a593Smuzhiyun /* Round up positive results */
643*4882a593Smuzhiyun Dbl_increment(resultp1,resultp2);
644*4882a593Smuzhiyun }
645*4882a593Smuzhiyun break;
646*4882a593Smuzhiyun
647*4882a593Smuzhiyun case ROUNDMINUS:
648*4882a593Smuzhiyun if (Dbl_isone_sign(resultp1)) {
649*4882a593Smuzhiyun /* Round down negative results */
650*4882a593Smuzhiyun Dbl_increment(resultp1,resultp2);
651*4882a593Smuzhiyun }
652*4882a593Smuzhiyun
653*4882a593Smuzhiyun case ROUNDZERO:;
654*4882a593Smuzhiyun /* truncate is simple */
655*4882a593Smuzhiyun } /* end switch... */
656*4882a593Smuzhiyun if (Dbl_isone_hiddenoverflow(resultp1)) result_exponent++;
657*4882a593Smuzhiyun }
658*4882a593Smuzhiyun if (result_exponent >= DBL_INFINITY_EXPONENT) {
659*4882a593Smuzhiyun /* trap if OVERFLOWTRAP enabled */
660*4882a593Smuzhiyun if (Is_overflowtrap_enabled()) {
661*4882a593Smuzhiyun /*
662*4882a593Smuzhiyun * Adjust bias of result
663*4882a593Smuzhiyun */
664*4882a593Smuzhiyun Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl);
665*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
666*4882a593Smuzhiyun if (inexact)
667*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
668*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION |
669*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
670*4882a593Smuzhiyun else Set_inexactflag();
671*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION);
672*4882a593Smuzhiyun }
673*4882a593Smuzhiyun inexact = TRUE;
674*4882a593Smuzhiyun Set_overflowflag();
675*4882a593Smuzhiyun /* set result to infinity or largest number */
676*4882a593Smuzhiyun Dbl_setoverflow(resultp1,resultp2);
677*4882a593Smuzhiyun
678*4882a593Smuzhiyun } else if (result_exponent <= 0) { /* underflow case */
679*4882a593Smuzhiyun if (Is_underflowtrap_enabled()) {
680*4882a593Smuzhiyun /*
681*4882a593Smuzhiyun * Adjust bias of result
682*4882a593Smuzhiyun */
683*4882a593Smuzhiyun Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
684*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
685*4882a593Smuzhiyun if (inexact)
686*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
687*4882a593Smuzhiyun return (OPC_2E_UNDERFLOWEXCEPTION |
688*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
689*4882a593Smuzhiyun else Set_inexactflag();
690*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
691*4882a593Smuzhiyun }
692*4882a593Smuzhiyun else if (inexact && is_tiny) Set_underflowflag();
693*4882a593Smuzhiyun }
694*4882a593Smuzhiyun else Dbl_set_exponent(resultp1,result_exponent);
695*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
696*4882a593Smuzhiyun if (inexact)
697*4882a593Smuzhiyun if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
698*4882a593Smuzhiyun else Set_inexactflag();
699*4882a593Smuzhiyun return(NOEXCEPTION);
700*4882a593Smuzhiyun }
701*4882a593Smuzhiyun
702*4882a593Smuzhiyun /*
703*4882a593Smuzhiyun * Double Floating-point Multiply Negate Fused Add
704*4882a593Smuzhiyun */
705*4882a593Smuzhiyun
dbl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)706*4882a593Smuzhiyun dbl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
707*4882a593Smuzhiyun
708*4882a593Smuzhiyun dbl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr;
709*4882a593Smuzhiyun unsigned int *status;
710*4882a593Smuzhiyun {
711*4882a593Smuzhiyun unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2, opnd3p1, opnd3p2;
712*4882a593Smuzhiyun register unsigned int tmpresp1, tmpresp2, tmpresp3, tmpresp4;
713*4882a593Smuzhiyun unsigned int rightp1, rightp2, rightp3, rightp4;
714*4882a593Smuzhiyun unsigned int resultp1, resultp2 = 0, resultp3 = 0, resultp4 = 0;
715*4882a593Smuzhiyun register int mpy_exponent, add_exponent, count;
716*4882a593Smuzhiyun boolean inexact = FALSE, is_tiny = FALSE;
717*4882a593Smuzhiyun
718*4882a593Smuzhiyun unsigned int signlessleft1, signlessright1, save;
719*4882a593Smuzhiyun register int result_exponent, diff_exponent;
720*4882a593Smuzhiyun int sign_save, jumpsize;
721*4882a593Smuzhiyun
722*4882a593Smuzhiyun Dbl_copyfromptr(src1ptr,opnd1p1,opnd1p2);
723*4882a593Smuzhiyun Dbl_copyfromptr(src2ptr,opnd2p1,opnd2p2);
724*4882a593Smuzhiyun Dbl_copyfromptr(src3ptr,opnd3p1,opnd3p2);
725*4882a593Smuzhiyun
726*4882a593Smuzhiyun /*
727*4882a593Smuzhiyun * set sign bit of result of multiply
728*4882a593Smuzhiyun */
729*4882a593Smuzhiyun if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1))
730*4882a593Smuzhiyun Dbl_setzerop1(resultp1);
731*4882a593Smuzhiyun else
732*4882a593Smuzhiyun Dbl_setnegativezerop1(resultp1);
733*4882a593Smuzhiyun
734*4882a593Smuzhiyun /*
735*4882a593Smuzhiyun * Generate multiply exponent
736*4882a593Smuzhiyun */
737*4882a593Smuzhiyun mpy_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) - DBL_BIAS;
738*4882a593Smuzhiyun
739*4882a593Smuzhiyun /*
740*4882a593Smuzhiyun * check first operand for NaN's or infinity
741*4882a593Smuzhiyun */
742*4882a593Smuzhiyun if (Dbl_isinfinity_exponent(opnd1p1)) {
743*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
744*4882a593Smuzhiyun if (Dbl_isnotnan(opnd2p1,opnd2p2) &&
745*4882a593Smuzhiyun Dbl_isnotnan(opnd3p1,opnd3p2)) {
746*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) {
747*4882a593Smuzhiyun /*
748*4882a593Smuzhiyun * invalid since operands are infinity
749*4882a593Smuzhiyun * and zero
750*4882a593Smuzhiyun */
751*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
752*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
753*4882a593Smuzhiyun Set_invalidflag();
754*4882a593Smuzhiyun Dbl_makequietnan(resultp1,resultp2);
755*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
756*4882a593Smuzhiyun return(NOEXCEPTION);
757*4882a593Smuzhiyun }
758*4882a593Smuzhiyun /*
759*4882a593Smuzhiyun * Check third operand for infinity with a
760*4882a593Smuzhiyun * sign opposite of the multiply result
761*4882a593Smuzhiyun */
762*4882a593Smuzhiyun if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
763*4882a593Smuzhiyun (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
764*4882a593Smuzhiyun /*
765*4882a593Smuzhiyun * invalid since attempting a magnitude
766*4882a593Smuzhiyun * subtraction of infinities
767*4882a593Smuzhiyun */
768*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
769*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
770*4882a593Smuzhiyun Set_invalidflag();
771*4882a593Smuzhiyun Dbl_makequietnan(resultp1,resultp2);
772*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
773*4882a593Smuzhiyun return(NOEXCEPTION);
774*4882a593Smuzhiyun }
775*4882a593Smuzhiyun
776*4882a593Smuzhiyun /*
777*4882a593Smuzhiyun * return infinity
778*4882a593Smuzhiyun */
779*4882a593Smuzhiyun Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
780*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
781*4882a593Smuzhiyun return(NOEXCEPTION);
782*4882a593Smuzhiyun }
783*4882a593Smuzhiyun }
784*4882a593Smuzhiyun else {
785*4882a593Smuzhiyun /*
786*4882a593Smuzhiyun * is NaN; signaling or quiet?
787*4882a593Smuzhiyun */
788*4882a593Smuzhiyun if (Dbl_isone_signaling(opnd1p1)) {
789*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
790*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
791*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
792*4882a593Smuzhiyun /* make NaN quiet */
793*4882a593Smuzhiyun Set_invalidflag();
794*4882a593Smuzhiyun Dbl_set_quiet(opnd1p1);
795*4882a593Smuzhiyun }
796*4882a593Smuzhiyun /*
797*4882a593Smuzhiyun * is second operand a signaling NaN?
798*4882a593Smuzhiyun */
799*4882a593Smuzhiyun else if (Dbl_is_signalingnan(opnd2p1)) {
800*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
801*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
802*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
803*4882a593Smuzhiyun /* make NaN quiet */
804*4882a593Smuzhiyun Set_invalidflag();
805*4882a593Smuzhiyun Dbl_set_quiet(opnd2p1);
806*4882a593Smuzhiyun Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
807*4882a593Smuzhiyun return(NOEXCEPTION);
808*4882a593Smuzhiyun }
809*4882a593Smuzhiyun /*
810*4882a593Smuzhiyun * is third operand a signaling NaN?
811*4882a593Smuzhiyun */
812*4882a593Smuzhiyun else if (Dbl_is_signalingnan(opnd3p1)) {
813*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
814*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
815*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
816*4882a593Smuzhiyun /* make NaN quiet */
817*4882a593Smuzhiyun Set_invalidflag();
818*4882a593Smuzhiyun Dbl_set_quiet(opnd3p1);
819*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
820*4882a593Smuzhiyun return(NOEXCEPTION);
821*4882a593Smuzhiyun }
822*4882a593Smuzhiyun /*
823*4882a593Smuzhiyun * return quiet NaN
824*4882a593Smuzhiyun */
825*4882a593Smuzhiyun Dbl_copytoptr(opnd1p1,opnd1p2,dstptr);
826*4882a593Smuzhiyun return(NOEXCEPTION);
827*4882a593Smuzhiyun }
828*4882a593Smuzhiyun }
829*4882a593Smuzhiyun
830*4882a593Smuzhiyun /*
831*4882a593Smuzhiyun * check second operand for NaN's or infinity
832*4882a593Smuzhiyun */
833*4882a593Smuzhiyun if (Dbl_isinfinity_exponent(opnd2p1)) {
834*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
835*4882a593Smuzhiyun if (Dbl_isnotnan(opnd3p1,opnd3p2)) {
836*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) {
837*4882a593Smuzhiyun /*
838*4882a593Smuzhiyun * invalid since multiply operands are
839*4882a593Smuzhiyun * zero & infinity
840*4882a593Smuzhiyun */
841*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
842*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
843*4882a593Smuzhiyun Set_invalidflag();
844*4882a593Smuzhiyun Dbl_makequietnan(opnd2p1,opnd2p2);
845*4882a593Smuzhiyun Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
846*4882a593Smuzhiyun return(NOEXCEPTION);
847*4882a593Smuzhiyun }
848*4882a593Smuzhiyun
849*4882a593Smuzhiyun /*
850*4882a593Smuzhiyun * Check third operand for infinity with a
851*4882a593Smuzhiyun * sign opposite of the multiply result
852*4882a593Smuzhiyun */
853*4882a593Smuzhiyun if (Dbl_isinfinity(opnd3p1,opnd3p2) &&
854*4882a593Smuzhiyun (Dbl_sign(resultp1) ^ Dbl_sign(opnd3p1))) {
855*4882a593Smuzhiyun /*
856*4882a593Smuzhiyun * invalid since attempting a magnitude
857*4882a593Smuzhiyun * subtraction of infinities
858*4882a593Smuzhiyun */
859*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
860*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
861*4882a593Smuzhiyun Set_invalidflag();
862*4882a593Smuzhiyun Dbl_makequietnan(resultp1,resultp2);
863*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
864*4882a593Smuzhiyun return(NOEXCEPTION);
865*4882a593Smuzhiyun }
866*4882a593Smuzhiyun
867*4882a593Smuzhiyun /*
868*4882a593Smuzhiyun * return infinity
869*4882a593Smuzhiyun */
870*4882a593Smuzhiyun Dbl_setinfinity_exponentmantissa(resultp1,resultp2);
871*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
872*4882a593Smuzhiyun return(NOEXCEPTION);
873*4882a593Smuzhiyun }
874*4882a593Smuzhiyun }
875*4882a593Smuzhiyun else {
876*4882a593Smuzhiyun /*
877*4882a593Smuzhiyun * is NaN; signaling or quiet?
878*4882a593Smuzhiyun */
879*4882a593Smuzhiyun if (Dbl_isone_signaling(opnd2p1)) {
880*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
881*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
882*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
883*4882a593Smuzhiyun /* make NaN quiet */
884*4882a593Smuzhiyun Set_invalidflag();
885*4882a593Smuzhiyun Dbl_set_quiet(opnd2p1);
886*4882a593Smuzhiyun }
887*4882a593Smuzhiyun /*
888*4882a593Smuzhiyun * is third operand a signaling NaN?
889*4882a593Smuzhiyun */
890*4882a593Smuzhiyun else if (Dbl_is_signalingnan(opnd3p1)) {
891*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
892*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
893*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
894*4882a593Smuzhiyun /* make NaN quiet */
895*4882a593Smuzhiyun Set_invalidflag();
896*4882a593Smuzhiyun Dbl_set_quiet(opnd3p1);
897*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
898*4882a593Smuzhiyun return(NOEXCEPTION);
899*4882a593Smuzhiyun }
900*4882a593Smuzhiyun /*
901*4882a593Smuzhiyun * return quiet NaN
902*4882a593Smuzhiyun */
903*4882a593Smuzhiyun Dbl_copytoptr(opnd2p1,opnd2p2,dstptr);
904*4882a593Smuzhiyun return(NOEXCEPTION);
905*4882a593Smuzhiyun }
906*4882a593Smuzhiyun }
907*4882a593Smuzhiyun
908*4882a593Smuzhiyun /*
909*4882a593Smuzhiyun * check third operand for NaN's or infinity
910*4882a593Smuzhiyun */
911*4882a593Smuzhiyun if (Dbl_isinfinity_exponent(opnd3p1)) {
912*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
913*4882a593Smuzhiyun /* return infinity */
914*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
915*4882a593Smuzhiyun return(NOEXCEPTION);
916*4882a593Smuzhiyun } else {
917*4882a593Smuzhiyun /*
918*4882a593Smuzhiyun * is NaN; signaling or quiet?
919*4882a593Smuzhiyun */
920*4882a593Smuzhiyun if (Dbl_isone_signaling(opnd3p1)) {
921*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
922*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
923*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
924*4882a593Smuzhiyun /* make NaN quiet */
925*4882a593Smuzhiyun Set_invalidflag();
926*4882a593Smuzhiyun Dbl_set_quiet(opnd3p1);
927*4882a593Smuzhiyun }
928*4882a593Smuzhiyun /*
929*4882a593Smuzhiyun * return quiet NaN
930*4882a593Smuzhiyun */
931*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
932*4882a593Smuzhiyun return(NOEXCEPTION);
933*4882a593Smuzhiyun }
934*4882a593Smuzhiyun }
935*4882a593Smuzhiyun
936*4882a593Smuzhiyun /*
937*4882a593Smuzhiyun * Generate multiply mantissa
938*4882a593Smuzhiyun */
939*4882a593Smuzhiyun if (Dbl_isnotzero_exponent(opnd1p1)) {
940*4882a593Smuzhiyun /* set hidden bit */
941*4882a593Smuzhiyun Dbl_clear_signexponent_set_hidden(opnd1p1);
942*4882a593Smuzhiyun }
943*4882a593Smuzhiyun else {
944*4882a593Smuzhiyun /* check for zero */
945*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) {
946*4882a593Smuzhiyun /*
947*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
948*4882a593Smuzhiyun */
949*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
950*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
951*4882a593Smuzhiyun Dbl_or_signs(opnd3p1,resultp1);
952*4882a593Smuzhiyun } else {
953*4882a593Smuzhiyun Dbl_and_signs(opnd3p1,resultp1);
954*4882a593Smuzhiyun }
955*4882a593Smuzhiyun }
956*4882a593Smuzhiyun /*
957*4882a593Smuzhiyun * Now let's check for trapped underflow case.
958*4882a593Smuzhiyun */
959*4882a593Smuzhiyun else if (Dbl_iszero_exponent(opnd3p1) &&
960*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
961*4882a593Smuzhiyun /* need to normalize results mantissa */
962*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(opnd3p1);
963*4882a593Smuzhiyun result_exponent = 0;
964*4882a593Smuzhiyun Dbl_leftshiftby1(opnd3p1,opnd3p2);
965*4882a593Smuzhiyun Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
966*4882a593Smuzhiyun Dbl_set_sign(opnd3p1,/*using*/sign_save);
967*4882a593Smuzhiyun Dbl_setwrapped_exponent(opnd3p1,result_exponent,
968*4882a593Smuzhiyun unfl);
969*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
970*4882a593Smuzhiyun /* inexact = FALSE */
971*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
972*4882a593Smuzhiyun }
973*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
974*4882a593Smuzhiyun return(NOEXCEPTION);
975*4882a593Smuzhiyun }
976*4882a593Smuzhiyun /* is denormalized, adjust exponent */
977*4882a593Smuzhiyun Dbl_clear_signexponent(opnd1p1);
978*4882a593Smuzhiyun Dbl_leftshiftby1(opnd1p1,opnd1p2);
979*4882a593Smuzhiyun Dbl_normalize(opnd1p1,opnd1p2,mpy_exponent);
980*4882a593Smuzhiyun }
981*4882a593Smuzhiyun /* opnd2 needs to have hidden bit set with msb in hidden bit */
982*4882a593Smuzhiyun if (Dbl_isnotzero_exponent(opnd2p1)) {
983*4882a593Smuzhiyun Dbl_clear_signexponent_set_hidden(opnd2p1);
984*4882a593Smuzhiyun }
985*4882a593Smuzhiyun else {
986*4882a593Smuzhiyun /* check for zero */
987*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) {
988*4882a593Smuzhiyun /*
989*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
990*4882a593Smuzhiyun */
991*4882a593Smuzhiyun if (Dbl_iszero_exponentmantissa(opnd3p1,opnd3p2)) {
992*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
993*4882a593Smuzhiyun Dbl_or_signs(opnd3p1,resultp1);
994*4882a593Smuzhiyun } else {
995*4882a593Smuzhiyun Dbl_and_signs(opnd3p1,resultp1);
996*4882a593Smuzhiyun }
997*4882a593Smuzhiyun }
998*4882a593Smuzhiyun /*
999*4882a593Smuzhiyun * Now let's check for trapped underflow case.
1000*4882a593Smuzhiyun */
1001*4882a593Smuzhiyun else if (Dbl_iszero_exponent(opnd3p1) &&
1002*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
1003*4882a593Smuzhiyun /* need to normalize results mantissa */
1004*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(opnd3p1);
1005*4882a593Smuzhiyun result_exponent = 0;
1006*4882a593Smuzhiyun Dbl_leftshiftby1(opnd3p1,opnd3p2);
1007*4882a593Smuzhiyun Dbl_normalize(opnd3p1,opnd3p2,result_exponent);
1008*4882a593Smuzhiyun Dbl_set_sign(opnd3p1,/*using*/sign_save);
1009*4882a593Smuzhiyun Dbl_setwrapped_exponent(opnd3p1,result_exponent,
1010*4882a593Smuzhiyun unfl);
1011*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
1012*4882a593Smuzhiyun /* inexact = FALSE */
1013*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
1014*4882a593Smuzhiyun }
1015*4882a593Smuzhiyun Dbl_copytoptr(opnd3p1,opnd3p2,dstptr);
1016*4882a593Smuzhiyun return(NOEXCEPTION);
1017*4882a593Smuzhiyun }
1018*4882a593Smuzhiyun /* is denormalized; want to normalize */
1019*4882a593Smuzhiyun Dbl_clear_signexponent(opnd2p1);
1020*4882a593Smuzhiyun Dbl_leftshiftby1(opnd2p1,opnd2p2);
1021*4882a593Smuzhiyun Dbl_normalize(opnd2p1,opnd2p2,mpy_exponent);
1022*4882a593Smuzhiyun }
1023*4882a593Smuzhiyun
1024*4882a593Smuzhiyun /* Multiply the first two source mantissas together */
1025*4882a593Smuzhiyun
1026*4882a593Smuzhiyun /*
1027*4882a593Smuzhiyun * The intermediate result will be kept in tmpres,
1028*4882a593Smuzhiyun * which needs enough room for 106 bits of mantissa,
1029*4882a593Smuzhiyun * so lets call it a Double extended.
1030*4882a593Smuzhiyun */
1031*4882a593Smuzhiyun Dblext_setzero(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
1032*4882a593Smuzhiyun
1033*4882a593Smuzhiyun /*
1034*4882a593Smuzhiyun * Four bits at a time are inspected in each loop, and a
1035*4882a593Smuzhiyun * simple shift and add multiply algorithm is used.
1036*4882a593Smuzhiyun */
1037*4882a593Smuzhiyun for (count = DBL_P-1; count >= 0; count -= 4) {
1038*4882a593Smuzhiyun Dblext_rightshiftby4(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
1039*4882a593Smuzhiyun if (Dbit28p2(opnd1p2)) {
1040*4882a593Smuzhiyun /* Fourword_add should be an ADD followed by 3 ADDC's */
1041*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
1042*4882a593Smuzhiyun opnd2p1<<3 | opnd2p2>>29, opnd2p2<<3, 0, 0);
1043*4882a593Smuzhiyun }
1044*4882a593Smuzhiyun if (Dbit29p2(opnd1p2)) {
1045*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
1046*4882a593Smuzhiyun opnd2p1<<2 | opnd2p2>>30, opnd2p2<<2, 0, 0);
1047*4882a593Smuzhiyun }
1048*4882a593Smuzhiyun if (Dbit30p2(opnd1p2)) {
1049*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
1050*4882a593Smuzhiyun opnd2p1<<1 | opnd2p2>>31, opnd2p2<<1, 0, 0);
1051*4882a593Smuzhiyun }
1052*4882a593Smuzhiyun if (Dbit31p2(opnd1p2)) {
1053*4882a593Smuzhiyun Fourword_add(tmpresp1, tmpresp2, tmpresp3, tmpresp4,
1054*4882a593Smuzhiyun opnd2p1, opnd2p2, 0, 0);
1055*4882a593Smuzhiyun }
1056*4882a593Smuzhiyun Dbl_rightshiftby4(opnd1p1,opnd1p2);
1057*4882a593Smuzhiyun }
1058*4882a593Smuzhiyun if (Is_dexthiddenoverflow(tmpresp1)) {
1059*4882a593Smuzhiyun /* result mantissa >= 2 (mantissa overflow) */
1060*4882a593Smuzhiyun mpy_exponent++;
1061*4882a593Smuzhiyun Dblext_rightshiftby1(tmpresp1,tmpresp2,tmpresp3,tmpresp4);
1062*4882a593Smuzhiyun }
1063*4882a593Smuzhiyun
1064*4882a593Smuzhiyun /*
1065*4882a593Smuzhiyun * Restore the sign of the mpy result which was saved in resultp1.
1066*4882a593Smuzhiyun * The exponent will continue to be kept in mpy_exponent.
1067*4882a593Smuzhiyun */
1068*4882a593Smuzhiyun Dblext_set_sign(tmpresp1,Dbl_sign(resultp1));
1069*4882a593Smuzhiyun
1070*4882a593Smuzhiyun /*
1071*4882a593Smuzhiyun * No rounding is required, since the result of the multiply
1072*4882a593Smuzhiyun * is exact in the extended format.
1073*4882a593Smuzhiyun */
1074*4882a593Smuzhiyun
1075*4882a593Smuzhiyun /*
1076*4882a593Smuzhiyun * Now we are ready to perform the add portion of the operation.
1077*4882a593Smuzhiyun *
1078*4882a593Smuzhiyun * The exponents need to be kept as integers for now, since the
1079*4882a593Smuzhiyun * multiply result might not fit into the exponent field. We
1080*4882a593Smuzhiyun * can't overflow or underflow because of this yet, since the
1081*4882a593Smuzhiyun * add could bring the final result back into range.
1082*4882a593Smuzhiyun */
1083*4882a593Smuzhiyun add_exponent = Dbl_exponent(opnd3p1);
1084*4882a593Smuzhiyun
1085*4882a593Smuzhiyun /*
1086*4882a593Smuzhiyun * Check for denormalized or zero add operand.
1087*4882a593Smuzhiyun */
1088*4882a593Smuzhiyun if (add_exponent == 0) {
1089*4882a593Smuzhiyun /* check for zero */
1090*4882a593Smuzhiyun if (Dbl_iszero_mantissa(opnd3p1,opnd3p2)) {
1091*4882a593Smuzhiyun /* right is zero */
1092*4882a593Smuzhiyun /* Left can't be zero and must be result.
1093*4882a593Smuzhiyun *
1094*4882a593Smuzhiyun * The final result is now in tmpres and mpy_exponent,
1095*4882a593Smuzhiyun * and needs to be rounded and squeezed back into
1096*4882a593Smuzhiyun * double precision format from double extended.
1097*4882a593Smuzhiyun */
1098*4882a593Smuzhiyun result_exponent = mpy_exponent;
1099*4882a593Smuzhiyun Dblext_copy(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
1100*4882a593Smuzhiyun resultp1,resultp2,resultp3,resultp4);
1101*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(resultp1);/*save sign*/
1102*4882a593Smuzhiyun goto round;
1103*4882a593Smuzhiyun }
1104*4882a593Smuzhiyun
1105*4882a593Smuzhiyun /*
1106*4882a593Smuzhiyun * Neither are zeroes.
1107*4882a593Smuzhiyun * Adjust exponent and normalize add operand.
1108*4882a593Smuzhiyun */
1109*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(opnd3p1); /* save sign */
1110*4882a593Smuzhiyun Dbl_clear_signexponent(opnd3p1);
1111*4882a593Smuzhiyun Dbl_leftshiftby1(opnd3p1,opnd3p2);
1112*4882a593Smuzhiyun Dbl_normalize(opnd3p1,opnd3p2,add_exponent);
1113*4882a593Smuzhiyun Dbl_set_sign(opnd3p1,sign_save); /* restore sign */
1114*4882a593Smuzhiyun } else {
1115*4882a593Smuzhiyun Dbl_clear_exponent_set_hidden(opnd3p1);
1116*4882a593Smuzhiyun }
1117*4882a593Smuzhiyun /*
1118*4882a593Smuzhiyun * Copy opnd3 to the double extended variable called right.
1119*4882a593Smuzhiyun */
1120*4882a593Smuzhiyun Dbl_copyto_dblext(opnd3p1,opnd3p2,rightp1,rightp2,rightp3,rightp4);
1121*4882a593Smuzhiyun
1122*4882a593Smuzhiyun /*
1123*4882a593Smuzhiyun * A zero "save" helps discover equal operands (for later),
1124*4882a593Smuzhiyun * and is used in swapping operands (if needed).
1125*4882a593Smuzhiyun */
1126*4882a593Smuzhiyun Dblext_xortointp1(tmpresp1,rightp1,/*to*/save);
1127*4882a593Smuzhiyun
1128*4882a593Smuzhiyun /*
1129*4882a593Smuzhiyun * Compare magnitude of operands.
1130*4882a593Smuzhiyun */
1131*4882a593Smuzhiyun Dblext_copytoint_exponentmantissap1(tmpresp1,signlessleft1);
1132*4882a593Smuzhiyun Dblext_copytoint_exponentmantissap1(rightp1,signlessright1);
1133*4882a593Smuzhiyun if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
1134*4882a593Smuzhiyun Dblext_ismagnitudeless(tmpresp2,rightp2,signlessleft1,signlessright1)){
1135*4882a593Smuzhiyun /*
1136*4882a593Smuzhiyun * Set the left operand to the larger one by XOR swap.
1137*4882a593Smuzhiyun * First finish the first word "save".
1138*4882a593Smuzhiyun */
1139*4882a593Smuzhiyun Dblext_xorfromintp1(save,rightp1,/*to*/rightp1);
1140*4882a593Smuzhiyun Dblext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
1141*4882a593Smuzhiyun Dblext_swap_lower(tmpresp2,tmpresp3,tmpresp4,
1142*4882a593Smuzhiyun rightp2,rightp3,rightp4);
1143*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
1144*4882a593Smuzhiyun diff_exponent = add_exponent - mpy_exponent;
1145*4882a593Smuzhiyun result_exponent = add_exponent;
1146*4882a593Smuzhiyun } else {
1147*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
1148*4882a593Smuzhiyun diff_exponent = mpy_exponent - add_exponent;
1149*4882a593Smuzhiyun result_exponent = mpy_exponent;
1150*4882a593Smuzhiyun }
1151*4882a593Smuzhiyun /* Invariant: left is not smaller than right. */
1152*4882a593Smuzhiyun
1153*4882a593Smuzhiyun /*
1154*4882a593Smuzhiyun * Special case alignment of operands that would force alignment
1155*4882a593Smuzhiyun * beyond the extent of the extension. A further optimization
1156*4882a593Smuzhiyun * could special case this but only reduces the path length for
1157*4882a593Smuzhiyun * this infrequent case.
1158*4882a593Smuzhiyun */
1159*4882a593Smuzhiyun if (diff_exponent > DBLEXT_THRESHOLD) {
1160*4882a593Smuzhiyun diff_exponent = DBLEXT_THRESHOLD;
1161*4882a593Smuzhiyun }
1162*4882a593Smuzhiyun
1163*4882a593Smuzhiyun /* Align right operand by shifting it to the right */
1164*4882a593Smuzhiyun Dblext_clear_sign(rightp1);
1165*4882a593Smuzhiyun Dblext_right_align(rightp1,rightp2,rightp3,rightp4,
1166*4882a593Smuzhiyun /*shifted by*/diff_exponent);
1167*4882a593Smuzhiyun
1168*4882a593Smuzhiyun /* Treat sum and difference of the operands separately. */
1169*4882a593Smuzhiyun if ((int)save < 0) {
1170*4882a593Smuzhiyun /*
1171*4882a593Smuzhiyun * Difference of the two operands. Overflow can occur if the
1172*4882a593Smuzhiyun * multiply overflowed. A borrow can occur out of the hidden
1173*4882a593Smuzhiyun * bit and force a post normalization phase.
1174*4882a593Smuzhiyun */
1175*4882a593Smuzhiyun Dblext_subtract(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
1176*4882a593Smuzhiyun rightp1,rightp2,rightp3,rightp4,
1177*4882a593Smuzhiyun resultp1,resultp2,resultp3,resultp4);
1178*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(resultp1);
1179*4882a593Smuzhiyun if (Dbl_iszero_hidden(resultp1)) {
1180*4882a593Smuzhiyun /* Handle normalization */
1181*4882a593Smuzhiyun /* A straightforward algorithm would now shift the
1182*4882a593Smuzhiyun * result and extension left until the hidden bit
1183*4882a593Smuzhiyun * becomes one. Not all of the extension bits need
1184*4882a593Smuzhiyun * participate in the shift. Only the two most
1185*4882a593Smuzhiyun * significant bits (round and guard) are needed.
1186*4882a593Smuzhiyun * If only a single shift is needed then the guard
1187*4882a593Smuzhiyun * bit becomes a significant low order bit and the
1188*4882a593Smuzhiyun * extension must participate in the rounding.
1189*4882a593Smuzhiyun * If more than a single shift is needed, then all
1190*4882a593Smuzhiyun * bits to the right of the guard bit are zeros,
1191*4882a593Smuzhiyun * and the guard bit may or may not be zero. */
1192*4882a593Smuzhiyun Dblext_leftshiftby1(resultp1,resultp2,resultp3,
1193*4882a593Smuzhiyun resultp4);
1194*4882a593Smuzhiyun
1195*4882a593Smuzhiyun /* Need to check for a zero result. The sign and
1196*4882a593Smuzhiyun * exponent fields have already been zeroed. The more
1197*4882a593Smuzhiyun * efficient test of the full object can be used.
1198*4882a593Smuzhiyun */
1199*4882a593Smuzhiyun if (Dblext_iszero(resultp1,resultp2,resultp3,resultp4)) {
1200*4882a593Smuzhiyun /* Must have been "x-x" or "x+(-x)". */
1201*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS))
1202*4882a593Smuzhiyun Dbl_setone_sign(resultp1);
1203*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
1204*4882a593Smuzhiyun return(NOEXCEPTION);
1205*4882a593Smuzhiyun }
1206*4882a593Smuzhiyun result_exponent--;
1207*4882a593Smuzhiyun
1208*4882a593Smuzhiyun /* Look to see if normalization is finished. */
1209*4882a593Smuzhiyun if (Dbl_isone_hidden(resultp1)) {
1210*4882a593Smuzhiyun /* No further normalization is needed */
1211*4882a593Smuzhiyun goto round;
1212*4882a593Smuzhiyun }
1213*4882a593Smuzhiyun
1214*4882a593Smuzhiyun /* Discover first one bit to determine shift amount.
1215*4882a593Smuzhiyun * Use a modified binary search. We have already
1216*4882a593Smuzhiyun * shifted the result one position right and still
1217*4882a593Smuzhiyun * not found a one so the remainder of the extension
1218*4882a593Smuzhiyun * must be zero and simplifies rounding. */
1219*4882a593Smuzhiyun /* Scan bytes */
1220*4882a593Smuzhiyun while (Dbl_iszero_hiddenhigh7mantissa(resultp1)) {
1221*4882a593Smuzhiyun Dblext_leftshiftby8(resultp1,resultp2,resultp3,resultp4);
1222*4882a593Smuzhiyun result_exponent -= 8;
1223*4882a593Smuzhiyun }
1224*4882a593Smuzhiyun /* Now narrow it down to the nibble */
1225*4882a593Smuzhiyun if (Dbl_iszero_hiddenhigh3mantissa(resultp1)) {
1226*4882a593Smuzhiyun /* The lower nibble contains the
1227*4882a593Smuzhiyun * normalizing one */
1228*4882a593Smuzhiyun Dblext_leftshiftby4(resultp1,resultp2,resultp3,resultp4);
1229*4882a593Smuzhiyun result_exponent -= 4;
1230*4882a593Smuzhiyun }
1231*4882a593Smuzhiyun /* Select case where first bit is set (already
1232*4882a593Smuzhiyun * normalized) otherwise select the proper shift. */
1233*4882a593Smuzhiyun jumpsize = Dbl_hiddenhigh3mantissa(resultp1);
1234*4882a593Smuzhiyun if (jumpsize <= 7) switch(jumpsize) {
1235*4882a593Smuzhiyun case 1:
1236*4882a593Smuzhiyun Dblext_leftshiftby3(resultp1,resultp2,resultp3,
1237*4882a593Smuzhiyun resultp4);
1238*4882a593Smuzhiyun result_exponent -= 3;
1239*4882a593Smuzhiyun break;
1240*4882a593Smuzhiyun case 2:
1241*4882a593Smuzhiyun case 3:
1242*4882a593Smuzhiyun Dblext_leftshiftby2(resultp1,resultp2,resultp3,
1243*4882a593Smuzhiyun resultp4);
1244*4882a593Smuzhiyun result_exponent -= 2;
1245*4882a593Smuzhiyun break;
1246*4882a593Smuzhiyun case 4:
1247*4882a593Smuzhiyun case 5:
1248*4882a593Smuzhiyun case 6:
1249*4882a593Smuzhiyun case 7:
1250*4882a593Smuzhiyun Dblext_leftshiftby1(resultp1,resultp2,resultp3,
1251*4882a593Smuzhiyun resultp4);
1252*4882a593Smuzhiyun result_exponent -= 1;
1253*4882a593Smuzhiyun break;
1254*4882a593Smuzhiyun }
1255*4882a593Smuzhiyun } /* end if (hidden...)... */
1256*4882a593Smuzhiyun /* Fall through and round */
1257*4882a593Smuzhiyun } /* end if (save < 0)... */
1258*4882a593Smuzhiyun else {
1259*4882a593Smuzhiyun /* Add magnitudes */
1260*4882a593Smuzhiyun Dblext_addition(tmpresp1,tmpresp2,tmpresp3,tmpresp4,
1261*4882a593Smuzhiyun rightp1,rightp2,rightp3,rightp4,
1262*4882a593Smuzhiyun /*to*/resultp1,resultp2,resultp3,resultp4);
1263*4882a593Smuzhiyun sign_save = Dbl_signextendedsign(resultp1);
1264*4882a593Smuzhiyun if (Dbl_isone_hiddenoverflow(resultp1)) {
1265*4882a593Smuzhiyun /* Prenormalization required. */
1266*4882a593Smuzhiyun Dblext_arithrightshiftby1(resultp1,resultp2,resultp3,
1267*4882a593Smuzhiyun resultp4);
1268*4882a593Smuzhiyun result_exponent++;
1269*4882a593Smuzhiyun } /* end if hiddenoverflow... */
1270*4882a593Smuzhiyun } /* end else ...add magnitudes... */
1271*4882a593Smuzhiyun
1272*4882a593Smuzhiyun /* Round the result. If the extension and lower two words are
1273*4882a593Smuzhiyun * all zeros, then the result is exact. Otherwise round in the
1274*4882a593Smuzhiyun * correct direction. Underflow is possible. If a postnormalization
1275*4882a593Smuzhiyun * is necessary, then the mantissa is all zeros so no shift is needed.
1276*4882a593Smuzhiyun */
1277*4882a593Smuzhiyun round:
1278*4882a593Smuzhiyun if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
1279*4882a593Smuzhiyun Dblext_denormalize(resultp1,resultp2,resultp3,resultp4,
1280*4882a593Smuzhiyun result_exponent,is_tiny);
1281*4882a593Smuzhiyun }
1282*4882a593Smuzhiyun Dbl_set_sign(resultp1,/*using*/sign_save);
1283*4882a593Smuzhiyun if (Dblext_isnotzero_mantissap3(resultp3) ||
1284*4882a593Smuzhiyun Dblext_isnotzero_mantissap4(resultp4)) {
1285*4882a593Smuzhiyun inexact = TRUE;
1286*4882a593Smuzhiyun switch(Rounding_mode()) {
1287*4882a593Smuzhiyun case ROUNDNEAREST: /* The default. */
1288*4882a593Smuzhiyun if (Dblext_isone_highp3(resultp3)) {
1289*4882a593Smuzhiyun /* at least 1/2 ulp */
1290*4882a593Smuzhiyun if (Dblext_isnotzero_low31p3(resultp3) ||
1291*4882a593Smuzhiyun Dblext_isnotzero_mantissap4(resultp4) ||
1292*4882a593Smuzhiyun Dblext_isone_lowp2(resultp2)) {
1293*4882a593Smuzhiyun /* either exactly half way and odd or
1294*4882a593Smuzhiyun * more than 1/2ulp */
1295*4882a593Smuzhiyun Dbl_increment(resultp1,resultp2);
1296*4882a593Smuzhiyun }
1297*4882a593Smuzhiyun }
1298*4882a593Smuzhiyun break;
1299*4882a593Smuzhiyun
1300*4882a593Smuzhiyun case ROUNDPLUS:
1301*4882a593Smuzhiyun if (Dbl_iszero_sign(resultp1)) {
1302*4882a593Smuzhiyun /* Round up positive results */
1303*4882a593Smuzhiyun Dbl_increment(resultp1,resultp2);
1304*4882a593Smuzhiyun }
1305*4882a593Smuzhiyun break;
1306*4882a593Smuzhiyun
1307*4882a593Smuzhiyun case ROUNDMINUS:
1308*4882a593Smuzhiyun if (Dbl_isone_sign(resultp1)) {
1309*4882a593Smuzhiyun /* Round down negative results */
1310*4882a593Smuzhiyun Dbl_increment(resultp1,resultp2);
1311*4882a593Smuzhiyun }
1312*4882a593Smuzhiyun
1313*4882a593Smuzhiyun case ROUNDZERO:;
1314*4882a593Smuzhiyun /* truncate is simple */
1315*4882a593Smuzhiyun } /* end switch... */
1316*4882a593Smuzhiyun if (Dbl_isone_hiddenoverflow(resultp1)) result_exponent++;
1317*4882a593Smuzhiyun }
1318*4882a593Smuzhiyun if (result_exponent >= DBL_INFINITY_EXPONENT) {
1319*4882a593Smuzhiyun /* Overflow */
1320*4882a593Smuzhiyun if (Is_overflowtrap_enabled()) {
1321*4882a593Smuzhiyun /*
1322*4882a593Smuzhiyun * Adjust bias of result
1323*4882a593Smuzhiyun */
1324*4882a593Smuzhiyun Dbl_setwrapped_exponent(resultp1,result_exponent,ovfl);
1325*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
1326*4882a593Smuzhiyun if (inexact)
1327*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
1328*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION |
1329*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
1330*4882a593Smuzhiyun else Set_inexactflag();
1331*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION);
1332*4882a593Smuzhiyun }
1333*4882a593Smuzhiyun inexact = TRUE;
1334*4882a593Smuzhiyun Set_overflowflag();
1335*4882a593Smuzhiyun Dbl_setoverflow(resultp1,resultp2);
1336*4882a593Smuzhiyun } else if (result_exponent <= 0) { /* underflow case */
1337*4882a593Smuzhiyun if (Is_underflowtrap_enabled()) {
1338*4882a593Smuzhiyun /*
1339*4882a593Smuzhiyun * Adjust bias of result
1340*4882a593Smuzhiyun */
1341*4882a593Smuzhiyun Dbl_setwrapped_exponent(resultp1,result_exponent,unfl);
1342*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
1343*4882a593Smuzhiyun if (inexact)
1344*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
1345*4882a593Smuzhiyun return (OPC_2E_UNDERFLOWEXCEPTION |
1346*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
1347*4882a593Smuzhiyun else Set_inexactflag();
1348*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
1349*4882a593Smuzhiyun }
1350*4882a593Smuzhiyun else if (inexact && is_tiny) Set_underflowflag();
1351*4882a593Smuzhiyun }
1352*4882a593Smuzhiyun else Dbl_set_exponent(resultp1,result_exponent);
1353*4882a593Smuzhiyun Dbl_copytoptr(resultp1,resultp2,dstptr);
1354*4882a593Smuzhiyun if (inexact)
1355*4882a593Smuzhiyun if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
1356*4882a593Smuzhiyun else Set_inexactflag();
1357*4882a593Smuzhiyun return(NOEXCEPTION);
1358*4882a593Smuzhiyun }
1359*4882a593Smuzhiyun
1360*4882a593Smuzhiyun /*
1361*4882a593Smuzhiyun * Single Floating-point Multiply Fused Add
1362*4882a593Smuzhiyun */
1363*4882a593Smuzhiyun
sgl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr)1364*4882a593Smuzhiyun sgl_fmpyfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
1365*4882a593Smuzhiyun
1366*4882a593Smuzhiyun sgl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr;
1367*4882a593Smuzhiyun unsigned int *status;
1368*4882a593Smuzhiyun {
1369*4882a593Smuzhiyun unsigned int opnd1, opnd2, opnd3;
1370*4882a593Smuzhiyun register unsigned int tmpresp1, tmpresp2;
1371*4882a593Smuzhiyun unsigned int rightp1, rightp2;
1372*4882a593Smuzhiyun unsigned int resultp1, resultp2 = 0;
1373*4882a593Smuzhiyun register int mpy_exponent, add_exponent, count;
1374*4882a593Smuzhiyun boolean inexact = FALSE, is_tiny = FALSE;
1375*4882a593Smuzhiyun
1376*4882a593Smuzhiyun unsigned int signlessleft1, signlessright1, save;
1377*4882a593Smuzhiyun register int result_exponent, diff_exponent;
1378*4882a593Smuzhiyun int sign_save, jumpsize;
1379*4882a593Smuzhiyun
1380*4882a593Smuzhiyun Sgl_copyfromptr(src1ptr,opnd1);
1381*4882a593Smuzhiyun Sgl_copyfromptr(src2ptr,opnd2);
1382*4882a593Smuzhiyun Sgl_copyfromptr(src3ptr,opnd3);
1383*4882a593Smuzhiyun
1384*4882a593Smuzhiyun /*
1385*4882a593Smuzhiyun * set sign bit of result of multiply
1386*4882a593Smuzhiyun */
1387*4882a593Smuzhiyun if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2))
1388*4882a593Smuzhiyun Sgl_setnegativezero(resultp1);
1389*4882a593Smuzhiyun else Sgl_setzero(resultp1);
1390*4882a593Smuzhiyun
1391*4882a593Smuzhiyun /*
1392*4882a593Smuzhiyun * Generate multiply exponent
1393*4882a593Smuzhiyun */
1394*4882a593Smuzhiyun mpy_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS;
1395*4882a593Smuzhiyun
1396*4882a593Smuzhiyun /*
1397*4882a593Smuzhiyun * check first operand for NaN's or infinity
1398*4882a593Smuzhiyun */
1399*4882a593Smuzhiyun if (Sgl_isinfinity_exponent(opnd1)) {
1400*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd1)) {
1401*4882a593Smuzhiyun if (Sgl_isnotnan(opnd2) && Sgl_isnotnan(opnd3)) {
1402*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd2)) {
1403*4882a593Smuzhiyun /*
1404*4882a593Smuzhiyun * invalid since operands are infinity
1405*4882a593Smuzhiyun * and zero
1406*4882a593Smuzhiyun */
1407*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1408*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1409*4882a593Smuzhiyun Set_invalidflag();
1410*4882a593Smuzhiyun Sgl_makequietnan(resultp1);
1411*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1412*4882a593Smuzhiyun return(NOEXCEPTION);
1413*4882a593Smuzhiyun }
1414*4882a593Smuzhiyun /*
1415*4882a593Smuzhiyun * Check third operand for infinity with a
1416*4882a593Smuzhiyun * sign opposite of the multiply result
1417*4882a593Smuzhiyun */
1418*4882a593Smuzhiyun if (Sgl_isinfinity(opnd3) &&
1419*4882a593Smuzhiyun (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
1420*4882a593Smuzhiyun /*
1421*4882a593Smuzhiyun * invalid since attempting a magnitude
1422*4882a593Smuzhiyun * subtraction of infinities
1423*4882a593Smuzhiyun */
1424*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1425*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1426*4882a593Smuzhiyun Set_invalidflag();
1427*4882a593Smuzhiyun Sgl_makequietnan(resultp1);
1428*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1429*4882a593Smuzhiyun return(NOEXCEPTION);
1430*4882a593Smuzhiyun }
1431*4882a593Smuzhiyun
1432*4882a593Smuzhiyun /*
1433*4882a593Smuzhiyun * return infinity
1434*4882a593Smuzhiyun */
1435*4882a593Smuzhiyun Sgl_setinfinity_exponentmantissa(resultp1);
1436*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1437*4882a593Smuzhiyun return(NOEXCEPTION);
1438*4882a593Smuzhiyun }
1439*4882a593Smuzhiyun }
1440*4882a593Smuzhiyun else {
1441*4882a593Smuzhiyun /*
1442*4882a593Smuzhiyun * is NaN; signaling or quiet?
1443*4882a593Smuzhiyun */
1444*4882a593Smuzhiyun if (Sgl_isone_signaling(opnd1)) {
1445*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
1446*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1447*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1448*4882a593Smuzhiyun /* make NaN quiet */
1449*4882a593Smuzhiyun Set_invalidflag();
1450*4882a593Smuzhiyun Sgl_set_quiet(opnd1);
1451*4882a593Smuzhiyun }
1452*4882a593Smuzhiyun /*
1453*4882a593Smuzhiyun * is second operand a signaling NaN?
1454*4882a593Smuzhiyun */
1455*4882a593Smuzhiyun else if (Sgl_is_signalingnan(opnd2)) {
1456*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
1457*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1458*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1459*4882a593Smuzhiyun /* make NaN quiet */
1460*4882a593Smuzhiyun Set_invalidflag();
1461*4882a593Smuzhiyun Sgl_set_quiet(opnd2);
1462*4882a593Smuzhiyun Sgl_copytoptr(opnd2,dstptr);
1463*4882a593Smuzhiyun return(NOEXCEPTION);
1464*4882a593Smuzhiyun }
1465*4882a593Smuzhiyun /*
1466*4882a593Smuzhiyun * is third operand a signaling NaN?
1467*4882a593Smuzhiyun */
1468*4882a593Smuzhiyun else if (Sgl_is_signalingnan(opnd3)) {
1469*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
1470*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1471*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1472*4882a593Smuzhiyun /* make NaN quiet */
1473*4882a593Smuzhiyun Set_invalidflag();
1474*4882a593Smuzhiyun Sgl_set_quiet(opnd3);
1475*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1476*4882a593Smuzhiyun return(NOEXCEPTION);
1477*4882a593Smuzhiyun }
1478*4882a593Smuzhiyun /*
1479*4882a593Smuzhiyun * return quiet NaN
1480*4882a593Smuzhiyun */
1481*4882a593Smuzhiyun Sgl_copytoptr(opnd1,dstptr);
1482*4882a593Smuzhiyun return(NOEXCEPTION);
1483*4882a593Smuzhiyun }
1484*4882a593Smuzhiyun }
1485*4882a593Smuzhiyun
1486*4882a593Smuzhiyun /*
1487*4882a593Smuzhiyun * check second operand for NaN's or infinity
1488*4882a593Smuzhiyun */
1489*4882a593Smuzhiyun if (Sgl_isinfinity_exponent(opnd2)) {
1490*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd2)) {
1491*4882a593Smuzhiyun if (Sgl_isnotnan(opnd3)) {
1492*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd1)) {
1493*4882a593Smuzhiyun /*
1494*4882a593Smuzhiyun * invalid since multiply operands are
1495*4882a593Smuzhiyun * zero & infinity
1496*4882a593Smuzhiyun */
1497*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1498*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1499*4882a593Smuzhiyun Set_invalidflag();
1500*4882a593Smuzhiyun Sgl_makequietnan(opnd2);
1501*4882a593Smuzhiyun Sgl_copytoptr(opnd2,dstptr);
1502*4882a593Smuzhiyun return(NOEXCEPTION);
1503*4882a593Smuzhiyun }
1504*4882a593Smuzhiyun
1505*4882a593Smuzhiyun /*
1506*4882a593Smuzhiyun * Check third operand for infinity with a
1507*4882a593Smuzhiyun * sign opposite of the multiply result
1508*4882a593Smuzhiyun */
1509*4882a593Smuzhiyun if (Sgl_isinfinity(opnd3) &&
1510*4882a593Smuzhiyun (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
1511*4882a593Smuzhiyun /*
1512*4882a593Smuzhiyun * invalid since attempting a magnitude
1513*4882a593Smuzhiyun * subtraction of infinities
1514*4882a593Smuzhiyun */
1515*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1516*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1517*4882a593Smuzhiyun Set_invalidflag();
1518*4882a593Smuzhiyun Sgl_makequietnan(resultp1);
1519*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1520*4882a593Smuzhiyun return(NOEXCEPTION);
1521*4882a593Smuzhiyun }
1522*4882a593Smuzhiyun
1523*4882a593Smuzhiyun /*
1524*4882a593Smuzhiyun * return infinity
1525*4882a593Smuzhiyun */
1526*4882a593Smuzhiyun Sgl_setinfinity_exponentmantissa(resultp1);
1527*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1528*4882a593Smuzhiyun return(NOEXCEPTION);
1529*4882a593Smuzhiyun }
1530*4882a593Smuzhiyun }
1531*4882a593Smuzhiyun else {
1532*4882a593Smuzhiyun /*
1533*4882a593Smuzhiyun * is NaN; signaling or quiet?
1534*4882a593Smuzhiyun */
1535*4882a593Smuzhiyun if (Sgl_isone_signaling(opnd2)) {
1536*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
1537*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1538*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1539*4882a593Smuzhiyun /* make NaN quiet */
1540*4882a593Smuzhiyun Set_invalidflag();
1541*4882a593Smuzhiyun Sgl_set_quiet(opnd2);
1542*4882a593Smuzhiyun }
1543*4882a593Smuzhiyun /*
1544*4882a593Smuzhiyun * is third operand a signaling NaN?
1545*4882a593Smuzhiyun */
1546*4882a593Smuzhiyun else if (Sgl_is_signalingnan(opnd3)) {
1547*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
1548*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1549*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1550*4882a593Smuzhiyun /* make NaN quiet */
1551*4882a593Smuzhiyun Set_invalidflag();
1552*4882a593Smuzhiyun Sgl_set_quiet(opnd3);
1553*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1554*4882a593Smuzhiyun return(NOEXCEPTION);
1555*4882a593Smuzhiyun }
1556*4882a593Smuzhiyun /*
1557*4882a593Smuzhiyun * return quiet NaN
1558*4882a593Smuzhiyun */
1559*4882a593Smuzhiyun Sgl_copytoptr(opnd2,dstptr);
1560*4882a593Smuzhiyun return(NOEXCEPTION);
1561*4882a593Smuzhiyun }
1562*4882a593Smuzhiyun }
1563*4882a593Smuzhiyun
1564*4882a593Smuzhiyun /*
1565*4882a593Smuzhiyun * check third operand for NaN's or infinity
1566*4882a593Smuzhiyun */
1567*4882a593Smuzhiyun if (Sgl_isinfinity_exponent(opnd3)) {
1568*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd3)) {
1569*4882a593Smuzhiyun /* return infinity */
1570*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1571*4882a593Smuzhiyun return(NOEXCEPTION);
1572*4882a593Smuzhiyun } else {
1573*4882a593Smuzhiyun /*
1574*4882a593Smuzhiyun * is NaN; signaling or quiet?
1575*4882a593Smuzhiyun */
1576*4882a593Smuzhiyun if (Sgl_isone_signaling(opnd3)) {
1577*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
1578*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
1579*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
1580*4882a593Smuzhiyun /* make NaN quiet */
1581*4882a593Smuzhiyun Set_invalidflag();
1582*4882a593Smuzhiyun Sgl_set_quiet(opnd3);
1583*4882a593Smuzhiyun }
1584*4882a593Smuzhiyun /*
1585*4882a593Smuzhiyun * return quiet NaN
1586*4882a593Smuzhiyun */
1587*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1588*4882a593Smuzhiyun return(NOEXCEPTION);
1589*4882a593Smuzhiyun }
1590*4882a593Smuzhiyun }
1591*4882a593Smuzhiyun
1592*4882a593Smuzhiyun /*
1593*4882a593Smuzhiyun * Generate multiply mantissa
1594*4882a593Smuzhiyun */
1595*4882a593Smuzhiyun if (Sgl_isnotzero_exponent(opnd1)) {
1596*4882a593Smuzhiyun /* set hidden bit */
1597*4882a593Smuzhiyun Sgl_clear_signexponent_set_hidden(opnd1);
1598*4882a593Smuzhiyun }
1599*4882a593Smuzhiyun else {
1600*4882a593Smuzhiyun /* check for zero */
1601*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd1)) {
1602*4882a593Smuzhiyun /*
1603*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
1604*4882a593Smuzhiyun */
1605*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd3)) {
1606*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
1607*4882a593Smuzhiyun Sgl_or_signs(opnd3,resultp1);
1608*4882a593Smuzhiyun } else {
1609*4882a593Smuzhiyun Sgl_and_signs(opnd3,resultp1);
1610*4882a593Smuzhiyun }
1611*4882a593Smuzhiyun }
1612*4882a593Smuzhiyun /*
1613*4882a593Smuzhiyun * Now let's check for trapped underflow case.
1614*4882a593Smuzhiyun */
1615*4882a593Smuzhiyun else if (Sgl_iszero_exponent(opnd3) &&
1616*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
1617*4882a593Smuzhiyun /* need to normalize results mantissa */
1618*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(opnd3);
1619*4882a593Smuzhiyun result_exponent = 0;
1620*4882a593Smuzhiyun Sgl_leftshiftby1(opnd3);
1621*4882a593Smuzhiyun Sgl_normalize(opnd3,result_exponent);
1622*4882a593Smuzhiyun Sgl_set_sign(opnd3,/*using*/sign_save);
1623*4882a593Smuzhiyun Sgl_setwrapped_exponent(opnd3,result_exponent,
1624*4882a593Smuzhiyun unfl);
1625*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1626*4882a593Smuzhiyun /* inexact = FALSE */
1627*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
1628*4882a593Smuzhiyun }
1629*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1630*4882a593Smuzhiyun return(NOEXCEPTION);
1631*4882a593Smuzhiyun }
1632*4882a593Smuzhiyun /* is denormalized, adjust exponent */
1633*4882a593Smuzhiyun Sgl_clear_signexponent(opnd1);
1634*4882a593Smuzhiyun Sgl_leftshiftby1(opnd1);
1635*4882a593Smuzhiyun Sgl_normalize(opnd1,mpy_exponent);
1636*4882a593Smuzhiyun }
1637*4882a593Smuzhiyun /* opnd2 needs to have hidden bit set with msb in hidden bit */
1638*4882a593Smuzhiyun if (Sgl_isnotzero_exponent(opnd2)) {
1639*4882a593Smuzhiyun Sgl_clear_signexponent_set_hidden(opnd2);
1640*4882a593Smuzhiyun }
1641*4882a593Smuzhiyun else {
1642*4882a593Smuzhiyun /* check for zero */
1643*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd2)) {
1644*4882a593Smuzhiyun /*
1645*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
1646*4882a593Smuzhiyun */
1647*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd3)) {
1648*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
1649*4882a593Smuzhiyun Sgl_or_signs(opnd3,resultp1);
1650*4882a593Smuzhiyun } else {
1651*4882a593Smuzhiyun Sgl_and_signs(opnd3,resultp1);
1652*4882a593Smuzhiyun }
1653*4882a593Smuzhiyun }
1654*4882a593Smuzhiyun /*
1655*4882a593Smuzhiyun * Now let's check for trapped underflow case.
1656*4882a593Smuzhiyun */
1657*4882a593Smuzhiyun else if (Sgl_iszero_exponent(opnd3) &&
1658*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
1659*4882a593Smuzhiyun /* need to normalize results mantissa */
1660*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(opnd3);
1661*4882a593Smuzhiyun result_exponent = 0;
1662*4882a593Smuzhiyun Sgl_leftshiftby1(opnd3);
1663*4882a593Smuzhiyun Sgl_normalize(opnd3,result_exponent);
1664*4882a593Smuzhiyun Sgl_set_sign(opnd3,/*using*/sign_save);
1665*4882a593Smuzhiyun Sgl_setwrapped_exponent(opnd3,result_exponent,
1666*4882a593Smuzhiyun unfl);
1667*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1668*4882a593Smuzhiyun /* inexact = FALSE */
1669*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
1670*4882a593Smuzhiyun }
1671*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
1672*4882a593Smuzhiyun return(NOEXCEPTION);
1673*4882a593Smuzhiyun }
1674*4882a593Smuzhiyun /* is denormalized; want to normalize */
1675*4882a593Smuzhiyun Sgl_clear_signexponent(opnd2);
1676*4882a593Smuzhiyun Sgl_leftshiftby1(opnd2);
1677*4882a593Smuzhiyun Sgl_normalize(opnd2,mpy_exponent);
1678*4882a593Smuzhiyun }
1679*4882a593Smuzhiyun
1680*4882a593Smuzhiyun /* Multiply the first two source mantissas together */
1681*4882a593Smuzhiyun
1682*4882a593Smuzhiyun /*
1683*4882a593Smuzhiyun * The intermediate result will be kept in tmpres,
1684*4882a593Smuzhiyun * which needs enough room for 106 bits of mantissa,
1685*4882a593Smuzhiyun * so lets call it a Double extended.
1686*4882a593Smuzhiyun */
1687*4882a593Smuzhiyun Sglext_setzero(tmpresp1,tmpresp2);
1688*4882a593Smuzhiyun
1689*4882a593Smuzhiyun /*
1690*4882a593Smuzhiyun * Four bits at a time are inspected in each loop, and a
1691*4882a593Smuzhiyun * simple shift and add multiply algorithm is used.
1692*4882a593Smuzhiyun */
1693*4882a593Smuzhiyun for (count = SGL_P-1; count >= 0; count -= 4) {
1694*4882a593Smuzhiyun Sglext_rightshiftby4(tmpresp1,tmpresp2);
1695*4882a593Smuzhiyun if (Sbit28(opnd1)) {
1696*4882a593Smuzhiyun /* Twoword_add should be an ADD followed by 2 ADDC's */
1697*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2<<3, 0);
1698*4882a593Smuzhiyun }
1699*4882a593Smuzhiyun if (Sbit29(opnd1)) {
1700*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2<<2, 0);
1701*4882a593Smuzhiyun }
1702*4882a593Smuzhiyun if (Sbit30(opnd1)) {
1703*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2<<1, 0);
1704*4882a593Smuzhiyun }
1705*4882a593Smuzhiyun if (Sbit31(opnd1)) {
1706*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2, 0);
1707*4882a593Smuzhiyun }
1708*4882a593Smuzhiyun Sgl_rightshiftby4(opnd1);
1709*4882a593Smuzhiyun }
1710*4882a593Smuzhiyun if (Is_sexthiddenoverflow(tmpresp1)) {
1711*4882a593Smuzhiyun /* result mantissa >= 2 (mantissa overflow) */
1712*4882a593Smuzhiyun mpy_exponent++;
1713*4882a593Smuzhiyun Sglext_rightshiftby4(tmpresp1,tmpresp2);
1714*4882a593Smuzhiyun } else {
1715*4882a593Smuzhiyun Sglext_rightshiftby3(tmpresp1,tmpresp2);
1716*4882a593Smuzhiyun }
1717*4882a593Smuzhiyun
1718*4882a593Smuzhiyun /*
1719*4882a593Smuzhiyun * Restore the sign of the mpy result which was saved in resultp1.
1720*4882a593Smuzhiyun * The exponent will continue to be kept in mpy_exponent.
1721*4882a593Smuzhiyun */
1722*4882a593Smuzhiyun Sglext_set_sign(tmpresp1,Sgl_sign(resultp1));
1723*4882a593Smuzhiyun
1724*4882a593Smuzhiyun /*
1725*4882a593Smuzhiyun * No rounding is required, since the result of the multiply
1726*4882a593Smuzhiyun * is exact in the extended format.
1727*4882a593Smuzhiyun */
1728*4882a593Smuzhiyun
1729*4882a593Smuzhiyun /*
1730*4882a593Smuzhiyun * Now we are ready to perform the add portion of the operation.
1731*4882a593Smuzhiyun *
1732*4882a593Smuzhiyun * The exponents need to be kept as integers for now, since the
1733*4882a593Smuzhiyun * multiply result might not fit into the exponent field. We
1734*4882a593Smuzhiyun * can't overflow or underflow because of this yet, since the
1735*4882a593Smuzhiyun * add could bring the final result back into range.
1736*4882a593Smuzhiyun */
1737*4882a593Smuzhiyun add_exponent = Sgl_exponent(opnd3);
1738*4882a593Smuzhiyun
1739*4882a593Smuzhiyun /*
1740*4882a593Smuzhiyun * Check for denormalized or zero add operand.
1741*4882a593Smuzhiyun */
1742*4882a593Smuzhiyun if (add_exponent == 0) {
1743*4882a593Smuzhiyun /* check for zero */
1744*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd3)) {
1745*4882a593Smuzhiyun /* right is zero */
1746*4882a593Smuzhiyun /* Left can't be zero and must be result.
1747*4882a593Smuzhiyun *
1748*4882a593Smuzhiyun * The final result is now in tmpres and mpy_exponent,
1749*4882a593Smuzhiyun * and needs to be rounded and squeezed back into
1750*4882a593Smuzhiyun * double precision format from double extended.
1751*4882a593Smuzhiyun */
1752*4882a593Smuzhiyun result_exponent = mpy_exponent;
1753*4882a593Smuzhiyun Sglext_copy(tmpresp1,tmpresp2,resultp1,resultp2);
1754*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(resultp1);/*save sign*/
1755*4882a593Smuzhiyun goto round;
1756*4882a593Smuzhiyun }
1757*4882a593Smuzhiyun
1758*4882a593Smuzhiyun /*
1759*4882a593Smuzhiyun * Neither are zeroes.
1760*4882a593Smuzhiyun * Adjust exponent and normalize add operand.
1761*4882a593Smuzhiyun */
1762*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(opnd3); /* save sign */
1763*4882a593Smuzhiyun Sgl_clear_signexponent(opnd3);
1764*4882a593Smuzhiyun Sgl_leftshiftby1(opnd3);
1765*4882a593Smuzhiyun Sgl_normalize(opnd3,add_exponent);
1766*4882a593Smuzhiyun Sgl_set_sign(opnd3,sign_save); /* restore sign */
1767*4882a593Smuzhiyun } else {
1768*4882a593Smuzhiyun Sgl_clear_exponent_set_hidden(opnd3);
1769*4882a593Smuzhiyun }
1770*4882a593Smuzhiyun /*
1771*4882a593Smuzhiyun * Copy opnd3 to the double extended variable called right.
1772*4882a593Smuzhiyun */
1773*4882a593Smuzhiyun Sgl_copyto_sglext(opnd3,rightp1,rightp2);
1774*4882a593Smuzhiyun
1775*4882a593Smuzhiyun /*
1776*4882a593Smuzhiyun * A zero "save" helps discover equal operands (for later),
1777*4882a593Smuzhiyun * and is used in swapping operands (if needed).
1778*4882a593Smuzhiyun */
1779*4882a593Smuzhiyun Sglext_xortointp1(tmpresp1,rightp1,/*to*/save);
1780*4882a593Smuzhiyun
1781*4882a593Smuzhiyun /*
1782*4882a593Smuzhiyun * Compare magnitude of operands.
1783*4882a593Smuzhiyun */
1784*4882a593Smuzhiyun Sglext_copytoint_exponentmantissa(tmpresp1,signlessleft1);
1785*4882a593Smuzhiyun Sglext_copytoint_exponentmantissa(rightp1,signlessright1);
1786*4882a593Smuzhiyun if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
1787*4882a593Smuzhiyun Sglext_ismagnitudeless(signlessleft1,signlessright1)) {
1788*4882a593Smuzhiyun /*
1789*4882a593Smuzhiyun * Set the left operand to the larger one by XOR swap.
1790*4882a593Smuzhiyun * First finish the first word "save".
1791*4882a593Smuzhiyun */
1792*4882a593Smuzhiyun Sglext_xorfromintp1(save,rightp1,/*to*/rightp1);
1793*4882a593Smuzhiyun Sglext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
1794*4882a593Smuzhiyun Sglext_swap_lower(tmpresp2,rightp2);
1795*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
1796*4882a593Smuzhiyun diff_exponent = add_exponent - mpy_exponent;
1797*4882a593Smuzhiyun result_exponent = add_exponent;
1798*4882a593Smuzhiyun } else {
1799*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
1800*4882a593Smuzhiyun diff_exponent = mpy_exponent - add_exponent;
1801*4882a593Smuzhiyun result_exponent = mpy_exponent;
1802*4882a593Smuzhiyun }
1803*4882a593Smuzhiyun /* Invariant: left is not smaller than right. */
1804*4882a593Smuzhiyun
1805*4882a593Smuzhiyun /*
1806*4882a593Smuzhiyun * Special case alignment of operands that would force alignment
1807*4882a593Smuzhiyun * beyond the extent of the extension. A further optimization
1808*4882a593Smuzhiyun * could special case this but only reduces the path length for
1809*4882a593Smuzhiyun * this infrequent case.
1810*4882a593Smuzhiyun */
1811*4882a593Smuzhiyun if (diff_exponent > SGLEXT_THRESHOLD) {
1812*4882a593Smuzhiyun diff_exponent = SGLEXT_THRESHOLD;
1813*4882a593Smuzhiyun }
1814*4882a593Smuzhiyun
1815*4882a593Smuzhiyun /* Align right operand by shifting it to the right */
1816*4882a593Smuzhiyun Sglext_clear_sign(rightp1);
1817*4882a593Smuzhiyun Sglext_right_align(rightp1,rightp2,/*shifted by*/diff_exponent);
1818*4882a593Smuzhiyun
1819*4882a593Smuzhiyun /* Treat sum and difference of the operands separately. */
1820*4882a593Smuzhiyun if ((int)save < 0) {
1821*4882a593Smuzhiyun /*
1822*4882a593Smuzhiyun * Difference of the two operands. Overflow can occur if the
1823*4882a593Smuzhiyun * multiply overflowed. A borrow can occur out of the hidden
1824*4882a593Smuzhiyun * bit and force a post normalization phase.
1825*4882a593Smuzhiyun */
1826*4882a593Smuzhiyun Sglext_subtract(tmpresp1,tmpresp2, rightp1,rightp2,
1827*4882a593Smuzhiyun resultp1,resultp2);
1828*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(resultp1);
1829*4882a593Smuzhiyun if (Sgl_iszero_hidden(resultp1)) {
1830*4882a593Smuzhiyun /* Handle normalization */
1831*4882a593Smuzhiyun /* A straightforward algorithm would now shift the
1832*4882a593Smuzhiyun * result and extension left until the hidden bit
1833*4882a593Smuzhiyun * becomes one. Not all of the extension bits need
1834*4882a593Smuzhiyun * participate in the shift. Only the two most
1835*4882a593Smuzhiyun * significant bits (round and guard) are needed.
1836*4882a593Smuzhiyun * If only a single shift is needed then the guard
1837*4882a593Smuzhiyun * bit becomes a significant low order bit and the
1838*4882a593Smuzhiyun * extension must participate in the rounding.
1839*4882a593Smuzhiyun * If more than a single shift is needed, then all
1840*4882a593Smuzhiyun * bits to the right of the guard bit are zeros,
1841*4882a593Smuzhiyun * and the guard bit may or may not be zero. */
1842*4882a593Smuzhiyun Sglext_leftshiftby1(resultp1,resultp2);
1843*4882a593Smuzhiyun
1844*4882a593Smuzhiyun /* Need to check for a zero result. The sign and
1845*4882a593Smuzhiyun * exponent fields have already been zeroed. The more
1846*4882a593Smuzhiyun * efficient test of the full object can be used.
1847*4882a593Smuzhiyun */
1848*4882a593Smuzhiyun if (Sglext_iszero(resultp1,resultp2)) {
1849*4882a593Smuzhiyun /* Must have been "x-x" or "x+(-x)". */
1850*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS))
1851*4882a593Smuzhiyun Sgl_setone_sign(resultp1);
1852*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1853*4882a593Smuzhiyun return(NOEXCEPTION);
1854*4882a593Smuzhiyun }
1855*4882a593Smuzhiyun result_exponent--;
1856*4882a593Smuzhiyun
1857*4882a593Smuzhiyun /* Look to see if normalization is finished. */
1858*4882a593Smuzhiyun if (Sgl_isone_hidden(resultp1)) {
1859*4882a593Smuzhiyun /* No further normalization is needed */
1860*4882a593Smuzhiyun goto round;
1861*4882a593Smuzhiyun }
1862*4882a593Smuzhiyun
1863*4882a593Smuzhiyun /* Discover first one bit to determine shift amount.
1864*4882a593Smuzhiyun * Use a modified binary search. We have already
1865*4882a593Smuzhiyun * shifted the result one position right and still
1866*4882a593Smuzhiyun * not found a one so the remainder of the extension
1867*4882a593Smuzhiyun * must be zero and simplifies rounding. */
1868*4882a593Smuzhiyun /* Scan bytes */
1869*4882a593Smuzhiyun while (Sgl_iszero_hiddenhigh7mantissa(resultp1)) {
1870*4882a593Smuzhiyun Sglext_leftshiftby8(resultp1,resultp2);
1871*4882a593Smuzhiyun result_exponent -= 8;
1872*4882a593Smuzhiyun }
1873*4882a593Smuzhiyun /* Now narrow it down to the nibble */
1874*4882a593Smuzhiyun if (Sgl_iszero_hiddenhigh3mantissa(resultp1)) {
1875*4882a593Smuzhiyun /* The lower nibble contains the
1876*4882a593Smuzhiyun * normalizing one */
1877*4882a593Smuzhiyun Sglext_leftshiftby4(resultp1,resultp2);
1878*4882a593Smuzhiyun result_exponent -= 4;
1879*4882a593Smuzhiyun }
1880*4882a593Smuzhiyun /* Select case where first bit is set (already
1881*4882a593Smuzhiyun * normalized) otherwise select the proper shift. */
1882*4882a593Smuzhiyun jumpsize = Sgl_hiddenhigh3mantissa(resultp1);
1883*4882a593Smuzhiyun if (jumpsize <= 7) switch(jumpsize) {
1884*4882a593Smuzhiyun case 1:
1885*4882a593Smuzhiyun Sglext_leftshiftby3(resultp1,resultp2);
1886*4882a593Smuzhiyun result_exponent -= 3;
1887*4882a593Smuzhiyun break;
1888*4882a593Smuzhiyun case 2:
1889*4882a593Smuzhiyun case 3:
1890*4882a593Smuzhiyun Sglext_leftshiftby2(resultp1,resultp2);
1891*4882a593Smuzhiyun result_exponent -= 2;
1892*4882a593Smuzhiyun break;
1893*4882a593Smuzhiyun case 4:
1894*4882a593Smuzhiyun case 5:
1895*4882a593Smuzhiyun case 6:
1896*4882a593Smuzhiyun case 7:
1897*4882a593Smuzhiyun Sglext_leftshiftby1(resultp1,resultp2);
1898*4882a593Smuzhiyun result_exponent -= 1;
1899*4882a593Smuzhiyun break;
1900*4882a593Smuzhiyun }
1901*4882a593Smuzhiyun } /* end if (hidden...)... */
1902*4882a593Smuzhiyun /* Fall through and round */
1903*4882a593Smuzhiyun } /* end if (save < 0)... */
1904*4882a593Smuzhiyun else {
1905*4882a593Smuzhiyun /* Add magnitudes */
1906*4882a593Smuzhiyun Sglext_addition(tmpresp1,tmpresp2,
1907*4882a593Smuzhiyun rightp1,rightp2, /*to*/resultp1,resultp2);
1908*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(resultp1);
1909*4882a593Smuzhiyun if (Sgl_isone_hiddenoverflow(resultp1)) {
1910*4882a593Smuzhiyun /* Prenormalization required. */
1911*4882a593Smuzhiyun Sglext_arithrightshiftby1(resultp1,resultp2);
1912*4882a593Smuzhiyun result_exponent++;
1913*4882a593Smuzhiyun } /* end if hiddenoverflow... */
1914*4882a593Smuzhiyun } /* end else ...add magnitudes... */
1915*4882a593Smuzhiyun
1916*4882a593Smuzhiyun /* Round the result. If the extension and lower two words are
1917*4882a593Smuzhiyun * all zeros, then the result is exact. Otherwise round in the
1918*4882a593Smuzhiyun * correct direction. Underflow is possible. If a postnormalization
1919*4882a593Smuzhiyun * is necessary, then the mantissa is all zeros so no shift is needed.
1920*4882a593Smuzhiyun */
1921*4882a593Smuzhiyun round:
1922*4882a593Smuzhiyun if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
1923*4882a593Smuzhiyun Sglext_denormalize(resultp1,resultp2,result_exponent,is_tiny);
1924*4882a593Smuzhiyun }
1925*4882a593Smuzhiyun Sgl_set_sign(resultp1,/*using*/sign_save);
1926*4882a593Smuzhiyun if (Sglext_isnotzero_mantissap2(resultp2)) {
1927*4882a593Smuzhiyun inexact = TRUE;
1928*4882a593Smuzhiyun switch(Rounding_mode()) {
1929*4882a593Smuzhiyun case ROUNDNEAREST: /* The default. */
1930*4882a593Smuzhiyun if (Sglext_isone_highp2(resultp2)) {
1931*4882a593Smuzhiyun /* at least 1/2 ulp */
1932*4882a593Smuzhiyun if (Sglext_isnotzero_low31p2(resultp2) ||
1933*4882a593Smuzhiyun Sglext_isone_lowp1(resultp1)) {
1934*4882a593Smuzhiyun /* either exactly half way and odd or
1935*4882a593Smuzhiyun * more than 1/2ulp */
1936*4882a593Smuzhiyun Sgl_increment(resultp1);
1937*4882a593Smuzhiyun }
1938*4882a593Smuzhiyun }
1939*4882a593Smuzhiyun break;
1940*4882a593Smuzhiyun
1941*4882a593Smuzhiyun case ROUNDPLUS:
1942*4882a593Smuzhiyun if (Sgl_iszero_sign(resultp1)) {
1943*4882a593Smuzhiyun /* Round up positive results */
1944*4882a593Smuzhiyun Sgl_increment(resultp1);
1945*4882a593Smuzhiyun }
1946*4882a593Smuzhiyun break;
1947*4882a593Smuzhiyun
1948*4882a593Smuzhiyun case ROUNDMINUS:
1949*4882a593Smuzhiyun if (Sgl_isone_sign(resultp1)) {
1950*4882a593Smuzhiyun /* Round down negative results */
1951*4882a593Smuzhiyun Sgl_increment(resultp1);
1952*4882a593Smuzhiyun }
1953*4882a593Smuzhiyun
1954*4882a593Smuzhiyun case ROUNDZERO:;
1955*4882a593Smuzhiyun /* truncate is simple */
1956*4882a593Smuzhiyun } /* end switch... */
1957*4882a593Smuzhiyun if (Sgl_isone_hiddenoverflow(resultp1)) result_exponent++;
1958*4882a593Smuzhiyun }
1959*4882a593Smuzhiyun if (result_exponent >= SGL_INFINITY_EXPONENT) {
1960*4882a593Smuzhiyun /* Overflow */
1961*4882a593Smuzhiyun if (Is_overflowtrap_enabled()) {
1962*4882a593Smuzhiyun /*
1963*4882a593Smuzhiyun * Adjust bias of result
1964*4882a593Smuzhiyun */
1965*4882a593Smuzhiyun Sgl_setwrapped_exponent(resultp1,result_exponent,ovfl);
1966*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1967*4882a593Smuzhiyun if (inexact)
1968*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
1969*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION |
1970*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
1971*4882a593Smuzhiyun else Set_inexactflag();
1972*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION);
1973*4882a593Smuzhiyun }
1974*4882a593Smuzhiyun inexact = TRUE;
1975*4882a593Smuzhiyun Set_overflowflag();
1976*4882a593Smuzhiyun Sgl_setoverflow(resultp1);
1977*4882a593Smuzhiyun } else if (result_exponent <= 0) { /* underflow case */
1978*4882a593Smuzhiyun if (Is_underflowtrap_enabled()) {
1979*4882a593Smuzhiyun /*
1980*4882a593Smuzhiyun * Adjust bias of result
1981*4882a593Smuzhiyun */
1982*4882a593Smuzhiyun Sgl_setwrapped_exponent(resultp1,result_exponent,unfl);
1983*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1984*4882a593Smuzhiyun if (inexact)
1985*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
1986*4882a593Smuzhiyun return (OPC_2E_UNDERFLOWEXCEPTION |
1987*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
1988*4882a593Smuzhiyun else Set_inexactflag();
1989*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
1990*4882a593Smuzhiyun }
1991*4882a593Smuzhiyun else if (inexact && is_tiny) Set_underflowflag();
1992*4882a593Smuzhiyun }
1993*4882a593Smuzhiyun else Sgl_set_exponent(resultp1,result_exponent);
1994*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
1995*4882a593Smuzhiyun if (inexact)
1996*4882a593Smuzhiyun if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
1997*4882a593Smuzhiyun else Set_inexactflag();
1998*4882a593Smuzhiyun return(NOEXCEPTION);
1999*4882a593Smuzhiyun }
2000*4882a593Smuzhiyun
2001*4882a593Smuzhiyun /*
2002*4882a593Smuzhiyun * Single Floating-point Multiply Negate Fused Add
2003*4882a593Smuzhiyun */
2004*4882a593Smuzhiyun
sgl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)2005*4882a593Smuzhiyun sgl_fmpynfadd(src1ptr,src2ptr,src3ptr,status,dstptr)
2006*4882a593Smuzhiyun
2007*4882a593Smuzhiyun sgl_floating_point *src1ptr, *src2ptr, *src3ptr, *dstptr;
2008*4882a593Smuzhiyun unsigned int *status;
2009*4882a593Smuzhiyun {
2010*4882a593Smuzhiyun unsigned int opnd1, opnd2, opnd3;
2011*4882a593Smuzhiyun register unsigned int tmpresp1, tmpresp2;
2012*4882a593Smuzhiyun unsigned int rightp1, rightp2;
2013*4882a593Smuzhiyun unsigned int resultp1, resultp2 = 0;
2014*4882a593Smuzhiyun register int mpy_exponent, add_exponent, count;
2015*4882a593Smuzhiyun boolean inexact = FALSE, is_tiny = FALSE;
2016*4882a593Smuzhiyun
2017*4882a593Smuzhiyun unsigned int signlessleft1, signlessright1, save;
2018*4882a593Smuzhiyun register int result_exponent, diff_exponent;
2019*4882a593Smuzhiyun int sign_save, jumpsize;
2020*4882a593Smuzhiyun
2021*4882a593Smuzhiyun Sgl_copyfromptr(src1ptr,opnd1);
2022*4882a593Smuzhiyun Sgl_copyfromptr(src2ptr,opnd2);
2023*4882a593Smuzhiyun Sgl_copyfromptr(src3ptr,opnd3);
2024*4882a593Smuzhiyun
2025*4882a593Smuzhiyun /*
2026*4882a593Smuzhiyun * set sign bit of result of multiply
2027*4882a593Smuzhiyun */
2028*4882a593Smuzhiyun if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2))
2029*4882a593Smuzhiyun Sgl_setzero(resultp1);
2030*4882a593Smuzhiyun else
2031*4882a593Smuzhiyun Sgl_setnegativezero(resultp1);
2032*4882a593Smuzhiyun
2033*4882a593Smuzhiyun /*
2034*4882a593Smuzhiyun * Generate multiply exponent
2035*4882a593Smuzhiyun */
2036*4882a593Smuzhiyun mpy_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS;
2037*4882a593Smuzhiyun
2038*4882a593Smuzhiyun /*
2039*4882a593Smuzhiyun * check first operand for NaN's or infinity
2040*4882a593Smuzhiyun */
2041*4882a593Smuzhiyun if (Sgl_isinfinity_exponent(opnd1)) {
2042*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd1)) {
2043*4882a593Smuzhiyun if (Sgl_isnotnan(opnd2) && Sgl_isnotnan(opnd3)) {
2044*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd2)) {
2045*4882a593Smuzhiyun /*
2046*4882a593Smuzhiyun * invalid since operands are infinity
2047*4882a593Smuzhiyun * and zero
2048*4882a593Smuzhiyun */
2049*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2050*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2051*4882a593Smuzhiyun Set_invalidflag();
2052*4882a593Smuzhiyun Sgl_makequietnan(resultp1);
2053*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2054*4882a593Smuzhiyun return(NOEXCEPTION);
2055*4882a593Smuzhiyun }
2056*4882a593Smuzhiyun /*
2057*4882a593Smuzhiyun * Check third operand for infinity with a
2058*4882a593Smuzhiyun * sign opposite of the multiply result
2059*4882a593Smuzhiyun */
2060*4882a593Smuzhiyun if (Sgl_isinfinity(opnd3) &&
2061*4882a593Smuzhiyun (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
2062*4882a593Smuzhiyun /*
2063*4882a593Smuzhiyun * invalid since attempting a magnitude
2064*4882a593Smuzhiyun * subtraction of infinities
2065*4882a593Smuzhiyun */
2066*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2067*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2068*4882a593Smuzhiyun Set_invalidflag();
2069*4882a593Smuzhiyun Sgl_makequietnan(resultp1);
2070*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2071*4882a593Smuzhiyun return(NOEXCEPTION);
2072*4882a593Smuzhiyun }
2073*4882a593Smuzhiyun
2074*4882a593Smuzhiyun /*
2075*4882a593Smuzhiyun * return infinity
2076*4882a593Smuzhiyun */
2077*4882a593Smuzhiyun Sgl_setinfinity_exponentmantissa(resultp1);
2078*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2079*4882a593Smuzhiyun return(NOEXCEPTION);
2080*4882a593Smuzhiyun }
2081*4882a593Smuzhiyun }
2082*4882a593Smuzhiyun else {
2083*4882a593Smuzhiyun /*
2084*4882a593Smuzhiyun * is NaN; signaling or quiet?
2085*4882a593Smuzhiyun */
2086*4882a593Smuzhiyun if (Sgl_isone_signaling(opnd1)) {
2087*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
2088*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2089*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2090*4882a593Smuzhiyun /* make NaN quiet */
2091*4882a593Smuzhiyun Set_invalidflag();
2092*4882a593Smuzhiyun Sgl_set_quiet(opnd1);
2093*4882a593Smuzhiyun }
2094*4882a593Smuzhiyun /*
2095*4882a593Smuzhiyun * is second operand a signaling NaN?
2096*4882a593Smuzhiyun */
2097*4882a593Smuzhiyun else if (Sgl_is_signalingnan(opnd2)) {
2098*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
2099*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2100*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2101*4882a593Smuzhiyun /* make NaN quiet */
2102*4882a593Smuzhiyun Set_invalidflag();
2103*4882a593Smuzhiyun Sgl_set_quiet(opnd2);
2104*4882a593Smuzhiyun Sgl_copytoptr(opnd2,dstptr);
2105*4882a593Smuzhiyun return(NOEXCEPTION);
2106*4882a593Smuzhiyun }
2107*4882a593Smuzhiyun /*
2108*4882a593Smuzhiyun * is third operand a signaling NaN?
2109*4882a593Smuzhiyun */
2110*4882a593Smuzhiyun else if (Sgl_is_signalingnan(opnd3)) {
2111*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
2112*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2113*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2114*4882a593Smuzhiyun /* make NaN quiet */
2115*4882a593Smuzhiyun Set_invalidflag();
2116*4882a593Smuzhiyun Sgl_set_quiet(opnd3);
2117*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2118*4882a593Smuzhiyun return(NOEXCEPTION);
2119*4882a593Smuzhiyun }
2120*4882a593Smuzhiyun /*
2121*4882a593Smuzhiyun * return quiet NaN
2122*4882a593Smuzhiyun */
2123*4882a593Smuzhiyun Sgl_copytoptr(opnd1,dstptr);
2124*4882a593Smuzhiyun return(NOEXCEPTION);
2125*4882a593Smuzhiyun }
2126*4882a593Smuzhiyun }
2127*4882a593Smuzhiyun
2128*4882a593Smuzhiyun /*
2129*4882a593Smuzhiyun * check second operand for NaN's or infinity
2130*4882a593Smuzhiyun */
2131*4882a593Smuzhiyun if (Sgl_isinfinity_exponent(opnd2)) {
2132*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd2)) {
2133*4882a593Smuzhiyun if (Sgl_isnotnan(opnd3)) {
2134*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd1)) {
2135*4882a593Smuzhiyun /*
2136*4882a593Smuzhiyun * invalid since multiply operands are
2137*4882a593Smuzhiyun * zero & infinity
2138*4882a593Smuzhiyun */
2139*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2140*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2141*4882a593Smuzhiyun Set_invalidflag();
2142*4882a593Smuzhiyun Sgl_makequietnan(opnd2);
2143*4882a593Smuzhiyun Sgl_copytoptr(opnd2,dstptr);
2144*4882a593Smuzhiyun return(NOEXCEPTION);
2145*4882a593Smuzhiyun }
2146*4882a593Smuzhiyun
2147*4882a593Smuzhiyun /*
2148*4882a593Smuzhiyun * Check third operand for infinity with a
2149*4882a593Smuzhiyun * sign opposite of the multiply result
2150*4882a593Smuzhiyun */
2151*4882a593Smuzhiyun if (Sgl_isinfinity(opnd3) &&
2152*4882a593Smuzhiyun (Sgl_sign(resultp1) ^ Sgl_sign(opnd3))) {
2153*4882a593Smuzhiyun /*
2154*4882a593Smuzhiyun * invalid since attempting a magnitude
2155*4882a593Smuzhiyun * subtraction of infinities
2156*4882a593Smuzhiyun */
2157*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2158*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2159*4882a593Smuzhiyun Set_invalidflag();
2160*4882a593Smuzhiyun Sgl_makequietnan(resultp1);
2161*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2162*4882a593Smuzhiyun return(NOEXCEPTION);
2163*4882a593Smuzhiyun }
2164*4882a593Smuzhiyun
2165*4882a593Smuzhiyun /*
2166*4882a593Smuzhiyun * return infinity
2167*4882a593Smuzhiyun */
2168*4882a593Smuzhiyun Sgl_setinfinity_exponentmantissa(resultp1);
2169*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2170*4882a593Smuzhiyun return(NOEXCEPTION);
2171*4882a593Smuzhiyun }
2172*4882a593Smuzhiyun }
2173*4882a593Smuzhiyun else {
2174*4882a593Smuzhiyun /*
2175*4882a593Smuzhiyun * is NaN; signaling or quiet?
2176*4882a593Smuzhiyun */
2177*4882a593Smuzhiyun if (Sgl_isone_signaling(opnd2)) {
2178*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
2179*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2180*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2181*4882a593Smuzhiyun /* make NaN quiet */
2182*4882a593Smuzhiyun Set_invalidflag();
2183*4882a593Smuzhiyun Sgl_set_quiet(opnd2);
2184*4882a593Smuzhiyun }
2185*4882a593Smuzhiyun /*
2186*4882a593Smuzhiyun * is third operand a signaling NaN?
2187*4882a593Smuzhiyun */
2188*4882a593Smuzhiyun else if (Sgl_is_signalingnan(opnd3)) {
2189*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
2190*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2191*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2192*4882a593Smuzhiyun /* make NaN quiet */
2193*4882a593Smuzhiyun Set_invalidflag();
2194*4882a593Smuzhiyun Sgl_set_quiet(opnd3);
2195*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2196*4882a593Smuzhiyun return(NOEXCEPTION);
2197*4882a593Smuzhiyun }
2198*4882a593Smuzhiyun /*
2199*4882a593Smuzhiyun * return quiet NaN
2200*4882a593Smuzhiyun */
2201*4882a593Smuzhiyun Sgl_copytoptr(opnd2,dstptr);
2202*4882a593Smuzhiyun return(NOEXCEPTION);
2203*4882a593Smuzhiyun }
2204*4882a593Smuzhiyun }
2205*4882a593Smuzhiyun
2206*4882a593Smuzhiyun /*
2207*4882a593Smuzhiyun * check third operand for NaN's or infinity
2208*4882a593Smuzhiyun */
2209*4882a593Smuzhiyun if (Sgl_isinfinity_exponent(opnd3)) {
2210*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd3)) {
2211*4882a593Smuzhiyun /* return infinity */
2212*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2213*4882a593Smuzhiyun return(NOEXCEPTION);
2214*4882a593Smuzhiyun } else {
2215*4882a593Smuzhiyun /*
2216*4882a593Smuzhiyun * is NaN; signaling or quiet?
2217*4882a593Smuzhiyun */
2218*4882a593Smuzhiyun if (Sgl_isone_signaling(opnd3)) {
2219*4882a593Smuzhiyun /* trap if INVALIDTRAP enabled */
2220*4882a593Smuzhiyun if (Is_invalidtrap_enabled())
2221*4882a593Smuzhiyun return(OPC_2E_INVALIDEXCEPTION);
2222*4882a593Smuzhiyun /* make NaN quiet */
2223*4882a593Smuzhiyun Set_invalidflag();
2224*4882a593Smuzhiyun Sgl_set_quiet(opnd3);
2225*4882a593Smuzhiyun }
2226*4882a593Smuzhiyun /*
2227*4882a593Smuzhiyun * return quiet NaN
2228*4882a593Smuzhiyun */
2229*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2230*4882a593Smuzhiyun return(NOEXCEPTION);
2231*4882a593Smuzhiyun }
2232*4882a593Smuzhiyun }
2233*4882a593Smuzhiyun
2234*4882a593Smuzhiyun /*
2235*4882a593Smuzhiyun * Generate multiply mantissa
2236*4882a593Smuzhiyun */
2237*4882a593Smuzhiyun if (Sgl_isnotzero_exponent(opnd1)) {
2238*4882a593Smuzhiyun /* set hidden bit */
2239*4882a593Smuzhiyun Sgl_clear_signexponent_set_hidden(opnd1);
2240*4882a593Smuzhiyun }
2241*4882a593Smuzhiyun else {
2242*4882a593Smuzhiyun /* check for zero */
2243*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd1)) {
2244*4882a593Smuzhiyun /*
2245*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
2246*4882a593Smuzhiyun */
2247*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd3)) {
2248*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
2249*4882a593Smuzhiyun Sgl_or_signs(opnd3,resultp1);
2250*4882a593Smuzhiyun } else {
2251*4882a593Smuzhiyun Sgl_and_signs(opnd3,resultp1);
2252*4882a593Smuzhiyun }
2253*4882a593Smuzhiyun }
2254*4882a593Smuzhiyun /*
2255*4882a593Smuzhiyun * Now let's check for trapped underflow case.
2256*4882a593Smuzhiyun */
2257*4882a593Smuzhiyun else if (Sgl_iszero_exponent(opnd3) &&
2258*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
2259*4882a593Smuzhiyun /* need to normalize results mantissa */
2260*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(opnd3);
2261*4882a593Smuzhiyun result_exponent = 0;
2262*4882a593Smuzhiyun Sgl_leftshiftby1(opnd3);
2263*4882a593Smuzhiyun Sgl_normalize(opnd3,result_exponent);
2264*4882a593Smuzhiyun Sgl_set_sign(opnd3,/*using*/sign_save);
2265*4882a593Smuzhiyun Sgl_setwrapped_exponent(opnd3,result_exponent,
2266*4882a593Smuzhiyun unfl);
2267*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2268*4882a593Smuzhiyun /* inexact = FALSE */
2269*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
2270*4882a593Smuzhiyun }
2271*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2272*4882a593Smuzhiyun return(NOEXCEPTION);
2273*4882a593Smuzhiyun }
2274*4882a593Smuzhiyun /* is denormalized, adjust exponent */
2275*4882a593Smuzhiyun Sgl_clear_signexponent(opnd1);
2276*4882a593Smuzhiyun Sgl_leftshiftby1(opnd1);
2277*4882a593Smuzhiyun Sgl_normalize(opnd1,mpy_exponent);
2278*4882a593Smuzhiyun }
2279*4882a593Smuzhiyun /* opnd2 needs to have hidden bit set with msb in hidden bit */
2280*4882a593Smuzhiyun if (Sgl_isnotzero_exponent(opnd2)) {
2281*4882a593Smuzhiyun Sgl_clear_signexponent_set_hidden(opnd2);
2282*4882a593Smuzhiyun }
2283*4882a593Smuzhiyun else {
2284*4882a593Smuzhiyun /* check for zero */
2285*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd2)) {
2286*4882a593Smuzhiyun /*
2287*4882a593Smuzhiyun * Perform the add opnd3 with zero here.
2288*4882a593Smuzhiyun */
2289*4882a593Smuzhiyun if (Sgl_iszero_exponentmantissa(opnd3)) {
2290*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS)) {
2291*4882a593Smuzhiyun Sgl_or_signs(opnd3,resultp1);
2292*4882a593Smuzhiyun } else {
2293*4882a593Smuzhiyun Sgl_and_signs(opnd3,resultp1);
2294*4882a593Smuzhiyun }
2295*4882a593Smuzhiyun }
2296*4882a593Smuzhiyun /*
2297*4882a593Smuzhiyun * Now let's check for trapped underflow case.
2298*4882a593Smuzhiyun */
2299*4882a593Smuzhiyun else if (Sgl_iszero_exponent(opnd3) &&
2300*4882a593Smuzhiyun Is_underflowtrap_enabled()) {
2301*4882a593Smuzhiyun /* need to normalize results mantissa */
2302*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(opnd3);
2303*4882a593Smuzhiyun result_exponent = 0;
2304*4882a593Smuzhiyun Sgl_leftshiftby1(opnd3);
2305*4882a593Smuzhiyun Sgl_normalize(opnd3,result_exponent);
2306*4882a593Smuzhiyun Sgl_set_sign(opnd3,/*using*/sign_save);
2307*4882a593Smuzhiyun Sgl_setwrapped_exponent(opnd3,result_exponent,
2308*4882a593Smuzhiyun unfl);
2309*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2310*4882a593Smuzhiyun /* inexact = FALSE */
2311*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
2312*4882a593Smuzhiyun }
2313*4882a593Smuzhiyun Sgl_copytoptr(opnd3,dstptr);
2314*4882a593Smuzhiyun return(NOEXCEPTION);
2315*4882a593Smuzhiyun }
2316*4882a593Smuzhiyun /* is denormalized; want to normalize */
2317*4882a593Smuzhiyun Sgl_clear_signexponent(opnd2);
2318*4882a593Smuzhiyun Sgl_leftshiftby1(opnd2);
2319*4882a593Smuzhiyun Sgl_normalize(opnd2,mpy_exponent);
2320*4882a593Smuzhiyun }
2321*4882a593Smuzhiyun
2322*4882a593Smuzhiyun /* Multiply the first two source mantissas together */
2323*4882a593Smuzhiyun
2324*4882a593Smuzhiyun /*
2325*4882a593Smuzhiyun * The intermediate result will be kept in tmpres,
2326*4882a593Smuzhiyun * which needs enough room for 106 bits of mantissa,
2327*4882a593Smuzhiyun * so lets call it a Double extended.
2328*4882a593Smuzhiyun */
2329*4882a593Smuzhiyun Sglext_setzero(tmpresp1,tmpresp2);
2330*4882a593Smuzhiyun
2331*4882a593Smuzhiyun /*
2332*4882a593Smuzhiyun * Four bits at a time are inspected in each loop, and a
2333*4882a593Smuzhiyun * simple shift and add multiply algorithm is used.
2334*4882a593Smuzhiyun */
2335*4882a593Smuzhiyun for (count = SGL_P-1; count >= 0; count -= 4) {
2336*4882a593Smuzhiyun Sglext_rightshiftby4(tmpresp1,tmpresp2);
2337*4882a593Smuzhiyun if (Sbit28(opnd1)) {
2338*4882a593Smuzhiyun /* Twoword_add should be an ADD followed by 2 ADDC's */
2339*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2<<3, 0);
2340*4882a593Smuzhiyun }
2341*4882a593Smuzhiyun if (Sbit29(opnd1)) {
2342*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2<<2, 0);
2343*4882a593Smuzhiyun }
2344*4882a593Smuzhiyun if (Sbit30(opnd1)) {
2345*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2<<1, 0);
2346*4882a593Smuzhiyun }
2347*4882a593Smuzhiyun if (Sbit31(opnd1)) {
2348*4882a593Smuzhiyun Twoword_add(tmpresp1, tmpresp2, opnd2, 0);
2349*4882a593Smuzhiyun }
2350*4882a593Smuzhiyun Sgl_rightshiftby4(opnd1);
2351*4882a593Smuzhiyun }
2352*4882a593Smuzhiyun if (Is_sexthiddenoverflow(tmpresp1)) {
2353*4882a593Smuzhiyun /* result mantissa >= 2 (mantissa overflow) */
2354*4882a593Smuzhiyun mpy_exponent++;
2355*4882a593Smuzhiyun Sglext_rightshiftby4(tmpresp1,tmpresp2);
2356*4882a593Smuzhiyun } else {
2357*4882a593Smuzhiyun Sglext_rightshiftby3(tmpresp1,tmpresp2);
2358*4882a593Smuzhiyun }
2359*4882a593Smuzhiyun
2360*4882a593Smuzhiyun /*
2361*4882a593Smuzhiyun * Restore the sign of the mpy result which was saved in resultp1.
2362*4882a593Smuzhiyun * The exponent will continue to be kept in mpy_exponent.
2363*4882a593Smuzhiyun */
2364*4882a593Smuzhiyun Sglext_set_sign(tmpresp1,Sgl_sign(resultp1));
2365*4882a593Smuzhiyun
2366*4882a593Smuzhiyun /*
2367*4882a593Smuzhiyun * No rounding is required, since the result of the multiply
2368*4882a593Smuzhiyun * is exact in the extended format.
2369*4882a593Smuzhiyun */
2370*4882a593Smuzhiyun
2371*4882a593Smuzhiyun /*
2372*4882a593Smuzhiyun * Now we are ready to perform the add portion of the operation.
2373*4882a593Smuzhiyun *
2374*4882a593Smuzhiyun * The exponents need to be kept as integers for now, since the
2375*4882a593Smuzhiyun * multiply result might not fit into the exponent field. We
2376*4882a593Smuzhiyun * can't overflow or underflow because of this yet, since the
2377*4882a593Smuzhiyun * add could bring the final result back into range.
2378*4882a593Smuzhiyun */
2379*4882a593Smuzhiyun add_exponent = Sgl_exponent(opnd3);
2380*4882a593Smuzhiyun
2381*4882a593Smuzhiyun /*
2382*4882a593Smuzhiyun * Check for denormalized or zero add operand.
2383*4882a593Smuzhiyun */
2384*4882a593Smuzhiyun if (add_exponent == 0) {
2385*4882a593Smuzhiyun /* check for zero */
2386*4882a593Smuzhiyun if (Sgl_iszero_mantissa(opnd3)) {
2387*4882a593Smuzhiyun /* right is zero */
2388*4882a593Smuzhiyun /* Left can't be zero and must be result.
2389*4882a593Smuzhiyun *
2390*4882a593Smuzhiyun * The final result is now in tmpres and mpy_exponent,
2391*4882a593Smuzhiyun * and needs to be rounded and squeezed back into
2392*4882a593Smuzhiyun * double precision format from double extended.
2393*4882a593Smuzhiyun */
2394*4882a593Smuzhiyun result_exponent = mpy_exponent;
2395*4882a593Smuzhiyun Sglext_copy(tmpresp1,tmpresp2,resultp1,resultp2);
2396*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(resultp1);/*save sign*/
2397*4882a593Smuzhiyun goto round;
2398*4882a593Smuzhiyun }
2399*4882a593Smuzhiyun
2400*4882a593Smuzhiyun /*
2401*4882a593Smuzhiyun * Neither are zeroes.
2402*4882a593Smuzhiyun * Adjust exponent and normalize add operand.
2403*4882a593Smuzhiyun */
2404*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(opnd3); /* save sign */
2405*4882a593Smuzhiyun Sgl_clear_signexponent(opnd3);
2406*4882a593Smuzhiyun Sgl_leftshiftby1(opnd3);
2407*4882a593Smuzhiyun Sgl_normalize(opnd3,add_exponent);
2408*4882a593Smuzhiyun Sgl_set_sign(opnd3,sign_save); /* restore sign */
2409*4882a593Smuzhiyun } else {
2410*4882a593Smuzhiyun Sgl_clear_exponent_set_hidden(opnd3);
2411*4882a593Smuzhiyun }
2412*4882a593Smuzhiyun /*
2413*4882a593Smuzhiyun * Copy opnd3 to the double extended variable called right.
2414*4882a593Smuzhiyun */
2415*4882a593Smuzhiyun Sgl_copyto_sglext(opnd3,rightp1,rightp2);
2416*4882a593Smuzhiyun
2417*4882a593Smuzhiyun /*
2418*4882a593Smuzhiyun * A zero "save" helps discover equal operands (for later),
2419*4882a593Smuzhiyun * and is used in swapping operands (if needed).
2420*4882a593Smuzhiyun */
2421*4882a593Smuzhiyun Sglext_xortointp1(tmpresp1,rightp1,/*to*/save);
2422*4882a593Smuzhiyun
2423*4882a593Smuzhiyun /*
2424*4882a593Smuzhiyun * Compare magnitude of operands.
2425*4882a593Smuzhiyun */
2426*4882a593Smuzhiyun Sglext_copytoint_exponentmantissa(tmpresp1,signlessleft1);
2427*4882a593Smuzhiyun Sglext_copytoint_exponentmantissa(rightp1,signlessright1);
2428*4882a593Smuzhiyun if (mpy_exponent < add_exponent || mpy_exponent == add_exponent &&
2429*4882a593Smuzhiyun Sglext_ismagnitudeless(signlessleft1,signlessright1)) {
2430*4882a593Smuzhiyun /*
2431*4882a593Smuzhiyun * Set the left operand to the larger one by XOR swap.
2432*4882a593Smuzhiyun * First finish the first word "save".
2433*4882a593Smuzhiyun */
2434*4882a593Smuzhiyun Sglext_xorfromintp1(save,rightp1,/*to*/rightp1);
2435*4882a593Smuzhiyun Sglext_xorfromintp1(save,tmpresp1,/*to*/tmpresp1);
2436*4882a593Smuzhiyun Sglext_swap_lower(tmpresp2,rightp2);
2437*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
2438*4882a593Smuzhiyun diff_exponent = add_exponent - mpy_exponent;
2439*4882a593Smuzhiyun result_exponent = add_exponent;
2440*4882a593Smuzhiyun } else {
2441*4882a593Smuzhiyun /* also setup exponents used in rest of routine */
2442*4882a593Smuzhiyun diff_exponent = mpy_exponent - add_exponent;
2443*4882a593Smuzhiyun result_exponent = mpy_exponent;
2444*4882a593Smuzhiyun }
2445*4882a593Smuzhiyun /* Invariant: left is not smaller than right. */
2446*4882a593Smuzhiyun
2447*4882a593Smuzhiyun /*
2448*4882a593Smuzhiyun * Special case alignment of operands that would force alignment
2449*4882a593Smuzhiyun * beyond the extent of the extension. A further optimization
2450*4882a593Smuzhiyun * could special case this but only reduces the path length for
2451*4882a593Smuzhiyun * this infrequent case.
2452*4882a593Smuzhiyun */
2453*4882a593Smuzhiyun if (diff_exponent > SGLEXT_THRESHOLD) {
2454*4882a593Smuzhiyun diff_exponent = SGLEXT_THRESHOLD;
2455*4882a593Smuzhiyun }
2456*4882a593Smuzhiyun
2457*4882a593Smuzhiyun /* Align right operand by shifting it to the right */
2458*4882a593Smuzhiyun Sglext_clear_sign(rightp1);
2459*4882a593Smuzhiyun Sglext_right_align(rightp1,rightp2,/*shifted by*/diff_exponent);
2460*4882a593Smuzhiyun
2461*4882a593Smuzhiyun /* Treat sum and difference of the operands separately. */
2462*4882a593Smuzhiyun if ((int)save < 0) {
2463*4882a593Smuzhiyun /*
2464*4882a593Smuzhiyun * Difference of the two operands. Overflow can occur if the
2465*4882a593Smuzhiyun * multiply overflowed. A borrow can occur out of the hidden
2466*4882a593Smuzhiyun * bit and force a post normalization phase.
2467*4882a593Smuzhiyun */
2468*4882a593Smuzhiyun Sglext_subtract(tmpresp1,tmpresp2, rightp1,rightp2,
2469*4882a593Smuzhiyun resultp1,resultp2);
2470*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(resultp1);
2471*4882a593Smuzhiyun if (Sgl_iszero_hidden(resultp1)) {
2472*4882a593Smuzhiyun /* Handle normalization */
2473*4882a593Smuzhiyun /* A straightforward algorithm would now shift the
2474*4882a593Smuzhiyun * result and extension left until the hidden bit
2475*4882a593Smuzhiyun * becomes one. Not all of the extension bits need
2476*4882a593Smuzhiyun * participate in the shift. Only the two most
2477*4882a593Smuzhiyun * significant bits (round and guard) are needed.
2478*4882a593Smuzhiyun * If only a single shift is needed then the guard
2479*4882a593Smuzhiyun * bit becomes a significant low order bit and the
2480*4882a593Smuzhiyun * extension must participate in the rounding.
2481*4882a593Smuzhiyun * If more than a single shift is needed, then all
2482*4882a593Smuzhiyun * bits to the right of the guard bit are zeros,
2483*4882a593Smuzhiyun * and the guard bit may or may not be zero. */
2484*4882a593Smuzhiyun Sglext_leftshiftby1(resultp1,resultp2);
2485*4882a593Smuzhiyun
2486*4882a593Smuzhiyun /* Need to check for a zero result. The sign and
2487*4882a593Smuzhiyun * exponent fields have already been zeroed. The more
2488*4882a593Smuzhiyun * efficient test of the full object can be used.
2489*4882a593Smuzhiyun */
2490*4882a593Smuzhiyun if (Sglext_iszero(resultp1,resultp2)) {
2491*4882a593Smuzhiyun /* Must have been "x-x" or "x+(-x)". */
2492*4882a593Smuzhiyun if (Is_rounding_mode(ROUNDMINUS))
2493*4882a593Smuzhiyun Sgl_setone_sign(resultp1);
2494*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2495*4882a593Smuzhiyun return(NOEXCEPTION);
2496*4882a593Smuzhiyun }
2497*4882a593Smuzhiyun result_exponent--;
2498*4882a593Smuzhiyun
2499*4882a593Smuzhiyun /* Look to see if normalization is finished. */
2500*4882a593Smuzhiyun if (Sgl_isone_hidden(resultp1)) {
2501*4882a593Smuzhiyun /* No further normalization is needed */
2502*4882a593Smuzhiyun goto round;
2503*4882a593Smuzhiyun }
2504*4882a593Smuzhiyun
2505*4882a593Smuzhiyun /* Discover first one bit to determine shift amount.
2506*4882a593Smuzhiyun * Use a modified binary search. We have already
2507*4882a593Smuzhiyun * shifted the result one position right and still
2508*4882a593Smuzhiyun * not found a one so the remainder of the extension
2509*4882a593Smuzhiyun * must be zero and simplifies rounding. */
2510*4882a593Smuzhiyun /* Scan bytes */
2511*4882a593Smuzhiyun while (Sgl_iszero_hiddenhigh7mantissa(resultp1)) {
2512*4882a593Smuzhiyun Sglext_leftshiftby8(resultp1,resultp2);
2513*4882a593Smuzhiyun result_exponent -= 8;
2514*4882a593Smuzhiyun }
2515*4882a593Smuzhiyun /* Now narrow it down to the nibble */
2516*4882a593Smuzhiyun if (Sgl_iszero_hiddenhigh3mantissa(resultp1)) {
2517*4882a593Smuzhiyun /* The lower nibble contains the
2518*4882a593Smuzhiyun * normalizing one */
2519*4882a593Smuzhiyun Sglext_leftshiftby4(resultp1,resultp2);
2520*4882a593Smuzhiyun result_exponent -= 4;
2521*4882a593Smuzhiyun }
2522*4882a593Smuzhiyun /* Select case where first bit is set (already
2523*4882a593Smuzhiyun * normalized) otherwise select the proper shift. */
2524*4882a593Smuzhiyun jumpsize = Sgl_hiddenhigh3mantissa(resultp1);
2525*4882a593Smuzhiyun if (jumpsize <= 7) switch(jumpsize) {
2526*4882a593Smuzhiyun case 1:
2527*4882a593Smuzhiyun Sglext_leftshiftby3(resultp1,resultp2);
2528*4882a593Smuzhiyun result_exponent -= 3;
2529*4882a593Smuzhiyun break;
2530*4882a593Smuzhiyun case 2:
2531*4882a593Smuzhiyun case 3:
2532*4882a593Smuzhiyun Sglext_leftshiftby2(resultp1,resultp2);
2533*4882a593Smuzhiyun result_exponent -= 2;
2534*4882a593Smuzhiyun break;
2535*4882a593Smuzhiyun case 4:
2536*4882a593Smuzhiyun case 5:
2537*4882a593Smuzhiyun case 6:
2538*4882a593Smuzhiyun case 7:
2539*4882a593Smuzhiyun Sglext_leftshiftby1(resultp1,resultp2);
2540*4882a593Smuzhiyun result_exponent -= 1;
2541*4882a593Smuzhiyun break;
2542*4882a593Smuzhiyun }
2543*4882a593Smuzhiyun } /* end if (hidden...)... */
2544*4882a593Smuzhiyun /* Fall through and round */
2545*4882a593Smuzhiyun } /* end if (save < 0)... */
2546*4882a593Smuzhiyun else {
2547*4882a593Smuzhiyun /* Add magnitudes */
2548*4882a593Smuzhiyun Sglext_addition(tmpresp1,tmpresp2,
2549*4882a593Smuzhiyun rightp1,rightp2, /*to*/resultp1,resultp2);
2550*4882a593Smuzhiyun sign_save = Sgl_signextendedsign(resultp1);
2551*4882a593Smuzhiyun if (Sgl_isone_hiddenoverflow(resultp1)) {
2552*4882a593Smuzhiyun /* Prenormalization required. */
2553*4882a593Smuzhiyun Sglext_arithrightshiftby1(resultp1,resultp2);
2554*4882a593Smuzhiyun result_exponent++;
2555*4882a593Smuzhiyun } /* end if hiddenoverflow... */
2556*4882a593Smuzhiyun } /* end else ...add magnitudes... */
2557*4882a593Smuzhiyun
2558*4882a593Smuzhiyun /* Round the result. If the extension and lower two words are
2559*4882a593Smuzhiyun * all zeros, then the result is exact. Otherwise round in the
2560*4882a593Smuzhiyun * correct direction. Underflow is possible. If a postnormalization
2561*4882a593Smuzhiyun * is necessary, then the mantissa is all zeros so no shift is needed.
2562*4882a593Smuzhiyun */
2563*4882a593Smuzhiyun round:
2564*4882a593Smuzhiyun if (result_exponent <= 0 && !Is_underflowtrap_enabled()) {
2565*4882a593Smuzhiyun Sglext_denormalize(resultp1,resultp2,result_exponent,is_tiny);
2566*4882a593Smuzhiyun }
2567*4882a593Smuzhiyun Sgl_set_sign(resultp1,/*using*/sign_save);
2568*4882a593Smuzhiyun if (Sglext_isnotzero_mantissap2(resultp2)) {
2569*4882a593Smuzhiyun inexact = TRUE;
2570*4882a593Smuzhiyun switch(Rounding_mode()) {
2571*4882a593Smuzhiyun case ROUNDNEAREST: /* The default. */
2572*4882a593Smuzhiyun if (Sglext_isone_highp2(resultp2)) {
2573*4882a593Smuzhiyun /* at least 1/2 ulp */
2574*4882a593Smuzhiyun if (Sglext_isnotzero_low31p2(resultp2) ||
2575*4882a593Smuzhiyun Sglext_isone_lowp1(resultp1)) {
2576*4882a593Smuzhiyun /* either exactly half way and odd or
2577*4882a593Smuzhiyun * more than 1/2ulp */
2578*4882a593Smuzhiyun Sgl_increment(resultp1);
2579*4882a593Smuzhiyun }
2580*4882a593Smuzhiyun }
2581*4882a593Smuzhiyun break;
2582*4882a593Smuzhiyun
2583*4882a593Smuzhiyun case ROUNDPLUS:
2584*4882a593Smuzhiyun if (Sgl_iszero_sign(resultp1)) {
2585*4882a593Smuzhiyun /* Round up positive results */
2586*4882a593Smuzhiyun Sgl_increment(resultp1);
2587*4882a593Smuzhiyun }
2588*4882a593Smuzhiyun break;
2589*4882a593Smuzhiyun
2590*4882a593Smuzhiyun case ROUNDMINUS:
2591*4882a593Smuzhiyun if (Sgl_isone_sign(resultp1)) {
2592*4882a593Smuzhiyun /* Round down negative results */
2593*4882a593Smuzhiyun Sgl_increment(resultp1);
2594*4882a593Smuzhiyun }
2595*4882a593Smuzhiyun
2596*4882a593Smuzhiyun case ROUNDZERO:;
2597*4882a593Smuzhiyun /* truncate is simple */
2598*4882a593Smuzhiyun } /* end switch... */
2599*4882a593Smuzhiyun if (Sgl_isone_hiddenoverflow(resultp1)) result_exponent++;
2600*4882a593Smuzhiyun }
2601*4882a593Smuzhiyun if (result_exponent >= SGL_INFINITY_EXPONENT) {
2602*4882a593Smuzhiyun /* Overflow */
2603*4882a593Smuzhiyun if (Is_overflowtrap_enabled()) {
2604*4882a593Smuzhiyun /*
2605*4882a593Smuzhiyun * Adjust bias of result
2606*4882a593Smuzhiyun */
2607*4882a593Smuzhiyun Sgl_setwrapped_exponent(resultp1,result_exponent,ovfl);
2608*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2609*4882a593Smuzhiyun if (inexact)
2610*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
2611*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION |
2612*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
2613*4882a593Smuzhiyun else Set_inexactflag();
2614*4882a593Smuzhiyun return (OPC_2E_OVERFLOWEXCEPTION);
2615*4882a593Smuzhiyun }
2616*4882a593Smuzhiyun inexact = TRUE;
2617*4882a593Smuzhiyun Set_overflowflag();
2618*4882a593Smuzhiyun Sgl_setoverflow(resultp1);
2619*4882a593Smuzhiyun } else if (result_exponent <= 0) { /* underflow case */
2620*4882a593Smuzhiyun if (Is_underflowtrap_enabled()) {
2621*4882a593Smuzhiyun /*
2622*4882a593Smuzhiyun * Adjust bias of result
2623*4882a593Smuzhiyun */
2624*4882a593Smuzhiyun Sgl_setwrapped_exponent(resultp1,result_exponent,unfl);
2625*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2626*4882a593Smuzhiyun if (inexact)
2627*4882a593Smuzhiyun if (Is_inexacttrap_enabled())
2628*4882a593Smuzhiyun return (OPC_2E_UNDERFLOWEXCEPTION |
2629*4882a593Smuzhiyun OPC_2E_INEXACTEXCEPTION);
2630*4882a593Smuzhiyun else Set_inexactflag();
2631*4882a593Smuzhiyun return(OPC_2E_UNDERFLOWEXCEPTION);
2632*4882a593Smuzhiyun }
2633*4882a593Smuzhiyun else if (inexact && is_tiny) Set_underflowflag();
2634*4882a593Smuzhiyun }
2635*4882a593Smuzhiyun else Sgl_set_exponent(resultp1,result_exponent);
2636*4882a593Smuzhiyun Sgl_copytoptr(resultp1,dstptr);
2637*4882a593Smuzhiyun if (inexact)
2638*4882a593Smuzhiyun if (Is_inexacttrap_enabled()) return(OPC_2E_INEXACTEXCEPTION);
2639*4882a593Smuzhiyun else Set_inexactflag();
2640*4882a593Smuzhiyun return(NOEXCEPTION);
2641*4882a593Smuzhiyun }
2642*4882a593Smuzhiyun
2643