xref: /OK3568_Linux_fs/kernel/arch/x86/math-emu/reg_add_sub.c (revision 4882a59341e53eb6f0b4789bf948001014eff981)
1*4882a593Smuzhiyun // SPDX-License-Identifier: GPL-2.0
2*4882a593Smuzhiyun /*---------------------------------------------------------------------------+
3*4882a593Smuzhiyun  |  reg_add_sub.c                                                            |
4*4882a593Smuzhiyun  |                                                                           |
5*4882a593Smuzhiyun  | Functions to add or subtract two registers and put the result in a third. |
6*4882a593Smuzhiyun  |                                                                           |
7*4882a593Smuzhiyun  | Copyright (C) 1992,1993,1997                                              |
8*4882a593Smuzhiyun  |                  W. Metzenthen, 22 Parker St, Ormond, Vic 3163, Australia |
9*4882a593Smuzhiyun  |                  E-mail   billm@suburbia.net                              |
10*4882a593Smuzhiyun  |                                                                           |
11*4882a593Smuzhiyun  |                                                                           |
12*4882a593Smuzhiyun  +---------------------------------------------------------------------------*/
13*4882a593Smuzhiyun 
14*4882a593Smuzhiyun /*---------------------------------------------------------------------------+
15*4882a593Smuzhiyun  |  For each function, the destination may be any FPU_REG, including one of  |
16*4882a593Smuzhiyun  | the source FPU_REGs.                                                      |
17*4882a593Smuzhiyun  |  Each function returns 0 if the answer is o.k., otherwise a non-zero      |
18*4882a593Smuzhiyun  | value is returned, indicating either an exception condition or an         |
19*4882a593Smuzhiyun  | internal error.                                                           |
20*4882a593Smuzhiyun  +---------------------------------------------------------------------------*/
21*4882a593Smuzhiyun 
22*4882a593Smuzhiyun #include "exception.h"
23*4882a593Smuzhiyun #include "reg_constant.h"
24*4882a593Smuzhiyun #include "fpu_emu.h"
25*4882a593Smuzhiyun #include "control_w.h"
26*4882a593Smuzhiyun #include "fpu_system.h"
27*4882a593Smuzhiyun 
28*4882a593Smuzhiyun static
29*4882a593Smuzhiyun int add_sub_specials(FPU_REG const *a, u_char taga, u_char signa,
30*4882a593Smuzhiyun 		     FPU_REG const *b, u_char tagb, u_char signb,
31*4882a593Smuzhiyun 		     FPU_REG * dest, int deststnr, int control_w);
32*4882a593Smuzhiyun 
33*4882a593Smuzhiyun /*
34*4882a593Smuzhiyun   Operates on st(0) and st(n), or on st(0) and temporary data.
35*4882a593Smuzhiyun   The destination must be one of the source st(x).
36*4882a593Smuzhiyun   */
FPU_add(FPU_REG const * b,u_char tagb,int deststnr,int control_w)37*4882a593Smuzhiyun int FPU_add(FPU_REG const *b, u_char tagb, int deststnr, int control_w)
38*4882a593Smuzhiyun {
39*4882a593Smuzhiyun 	FPU_REG *a = &st(0);
40*4882a593Smuzhiyun 	FPU_REG *dest = &st(deststnr);
41*4882a593Smuzhiyun 	u_char signb = getsign(b);
42*4882a593Smuzhiyun 	u_char taga = FPU_gettag0();
43*4882a593Smuzhiyun 	u_char signa = getsign(a);
44*4882a593Smuzhiyun 	u_char saved_sign = getsign(dest);
45*4882a593Smuzhiyun 	int diff, tag, expa, expb;
46*4882a593Smuzhiyun 
47*4882a593Smuzhiyun 	if (!(taga | tagb)) {
48*4882a593Smuzhiyun 		expa = exponent(a);
49*4882a593Smuzhiyun 		expb = exponent(b);
50*4882a593Smuzhiyun 
51*4882a593Smuzhiyun 	      valid_add:
52*4882a593Smuzhiyun 		/* Both registers are valid */
53*4882a593Smuzhiyun 		if (!(signa ^ signb)) {
54*4882a593Smuzhiyun 			/* signs are the same */
55*4882a593Smuzhiyun 			tag =
56*4882a593Smuzhiyun 			    FPU_u_add(a, b, dest, control_w, signa, expa, expb);
57*4882a593Smuzhiyun 		} else {
58*4882a593Smuzhiyun 			/* The signs are different, so do a subtraction */
59*4882a593Smuzhiyun 			diff = expa - expb;
60*4882a593Smuzhiyun 			if (!diff) {
61*4882a593Smuzhiyun 				diff = a->sigh - b->sigh;	/* This works only if the ms bits
62*4882a593Smuzhiyun 								   are identical. */
63*4882a593Smuzhiyun 				if (!diff) {
64*4882a593Smuzhiyun 					diff = a->sigl > b->sigl;
65*4882a593Smuzhiyun 					if (!diff)
66*4882a593Smuzhiyun 						diff = -(a->sigl < b->sigl);
67*4882a593Smuzhiyun 				}
68*4882a593Smuzhiyun 			}
69*4882a593Smuzhiyun 
70*4882a593Smuzhiyun 			if (diff > 0) {
71*4882a593Smuzhiyun 				tag =
72*4882a593Smuzhiyun 				    FPU_u_sub(a, b, dest, control_w, signa,
73*4882a593Smuzhiyun 					      expa, expb);
74*4882a593Smuzhiyun 			} else if (diff < 0) {
75*4882a593Smuzhiyun 				tag =
76*4882a593Smuzhiyun 				    FPU_u_sub(b, a, dest, control_w, signb,
77*4882a593Smuzhiyun 					      expb, expa);
78*4882a593Smuzhiyun 			} else {
79*4882a593Smuzhiyun 				FPU_copy_to_regi(&CONST_Z, TAG_Zero, deststnr);
80*4882a593Smuzhiyun 				/* sign depends upon rounding mode */
81*4882a593Smuzhiyun 				setsign(dest, ((control_w & CW_RC) != RC_DOWN)
82*4882a593Smuzhiyun 					? SIGN_POS : SIGN_NEG);
83*4882a593Smuzhiyun 				return TAG_Zero;
84*4882a593Smuzhiyun 			}
85*4882a593Smuzhiyun 		}
86*4882a593Smuzhiyun 
87*4882a593Smuzhiyun 		if (tag < 0) {
88*4882a593Smuzhiyun 			setsign(dest, saved_sign);
89*4882a593Smuzhiyun 			return tag;
90*4882a593Smuzhiyun 		}
91*4882a593Smuzhiyun 		FPU_settagi(deststnr, tag);
92*4882a593Smuzhiyun 		return tag;
93*4882a593Smuzhiyun 	}
94*4882a593Smuzhiyun 
95*4882a593Smuzhiyun 	if (taga == TAG_Special)
96*4882a593Smuzhiyun 		taga = FPU_Special(a);
97*4882a593Smuzhiyun 	if (tagb == TAG_Special)
98*4882a593Smuzhiyun 		tagb = FPU_Special(b);
99*4882a593Smuzhiyun 
100*4882a593Smuzhiyun 	if (((taga == TAG_Valid) && (tagb == TW_Denormal))
101*4882a593Smuzhiyun 	    || ((taga == TW_Denormal) && (tagb == TAG_Valid))
102*4882a593Smuzhiyun 	    || ((taga == TW_Denormal) && (tagb == TW_Denormal))) {
103*4882a593Smuzhiyun 		FPU_REG x, y;
104*4882a593Smuzhiyun 
105*4882a593Smuzhiyun 		if (denormal_operand() < 0)
106*4882a593Smuzhiyun 			return FPU_Exception;
107*4882a593Smuzhiyun 
108*4882a593Smuzhiyun 		FPU_to_exp16(a, &x);
109*4882a593Smuzhiyun 		FPU_to_exp16(b, &y);
110*4882a593Smuzhiyun 		a = &x;
111*4882a593Smuzhiyun 		b = &y;
112*4882a593Smuzhiyun 		expa = exponent16(a);
113*4882a593Smuzhiyun 		expb = exponent16(b);
114*4882a593Smuzhiyun 		goto valid_add;
115*4882a593Smuzhiyun 	}
116*4882a593Smuzhiyun 
117*4882a593Smuzhiyun 	if ((taga == TW_NaN) || (tagb == TW_NaN)) {
118*4882a593Smuzhiyun 		if (deststnr == 0)
119*4882a593Smuzhiyun 			return real_2op_NaN(b, tagb, deststnr, a);
120*4882a593Smuzhiyun 		else
121*4882a593Smuzhiyun 			return real_2op_NaN(a, taga, deststnr, a);
122*4882a593Smuzhiyun 	}
123*4882a593Smuzhiyun 
124*4882a593Smuzhiyun 	return add_sub_specials(a, taga, signa, b, tagb, signb,
125*4882a593Smuzhiyun 				dest, deststnr, control_w);
126*4882a593Smuzhiyun }
127*4882a593Smuzhiyun 
128*4882a593Smuzhiyun /* Subtract b from a.  (a-b) -> dest */
FPU_sub(int flags,int rm,int control_w)129*4882a593Smuzhiyun int FPU_sub(int flags, int rm, int control_w)
130*4882a593Smuzhiyun {
131*4882a593Smuzhiyun 	FPU_REG const *a, *b;
132*4882a593Smuzhiyun 	FPU_REG *dest;
133*4882a593Smuzhiyun 	u_char taga, tagb, signa, signb, saved_sign, sign;
134*4882a593Smuzhiyun 	int diff, tag = 0, expa, expb, deststnr;
135*4882a593Smuzhiyun 
136*4882a593Smuzhiyun 	a = &st(0);
137*4882a593Smuzhiyun 	taga = FPU_gettag0();
138*4882a593Smuzhiyun 
139*4882a593Smuzhiyun 	deststnr = 0;
140*4882a593Smuzhiyun 	if (flags & LOADED) {
141*4882a593Smuzhiyun 		b = (FPU_REG *) rm;
142*4882a593Smuzhiyun 		tagb = flags & 0x0f;
143*4882a593Smuzhiyun 	} else {
144*4882a593Smuzhiyun 		b = &st(rm);
145*4882a593Smuzhiyun 		tagb = FPU_gettagi(rm);
146*4882a593Smuzhiyun 
147*4882a593Smuzhiyun 		if (flags & DEST_RM)
148*4882a593Smuzhiyun 			deststnr = rm;
149*4882a593Smuzhiyun 	}
150*4882a593Smuzhiyun 
151*4882a593Smuzhiyun 	signa = getsign(a);
152*4882a593Smuzhiyun 	signb = getsign(b);
153*4882a593Smuzhiyun 
154*4882a593Smuzhiyun 	if (flags & REV) {
155*4882a593Smuzhiyun 		signa ^= SIGN_NEG;
156*4882a593Smuzhiyun 		signb ^= SIGN_NEG;
157*4882a593Smuzhiyun 	}
158*4882a593Smuzhiyun 
159*4882a593Smuzhiyun 	dest = &st(deststnr);
160*4882a593Smuzhiyun 	saved_sign = getsign(dest);
161*4882a593Smuzhiyun 
162*4882a593Smuzhiyun 	if (!(taga | tagb)) {
163*4882a593Smuzhiyun 		expa = exponent(a);
164*4882a593Smuzhiyun 		expb = exponent(b);
165*4882a593Smuzhiyun 
166*4882a593Smuzhiyun 	      valid_subtract:
167*4882a593Smuzhiyun 		/* Both registers are valid */
168*4882a593Smuzhiyun 
169*4882a593Smuzhiyun 		diff = expa - expb;
170*4882a593Smuzhiyun 
171*4882a593Smuzhiyun 		if (!diff) {
172*4882a593Smuzhiyun 			diff = a->sigh - b->sigh;	/* Works only if ms bits are identical */
173*4882a593Smuzhiyun 			if (!diff) {
174*4882a593Smuzhiyun 				diff = a->sigl > b->sigl;
175*4882a593Smuzhiyun 				if (!diff)
176*4882a593Smuzhiyun 					diff = -(a->sigl < b->sigl);
177*4882a593Smuzhiyun 			}
178*4882a593Smuzhiyun 		}
179*4882a593Smuzhiyun 
180*4882a593Smuzhiyun 		switch ((((int)signa) * 2 + signb) / SIGN_NEG) {
181*4882a593Smuzhiyun 		case 0:	/* P - P */
182*4882a593Smuzhiyun 		case 3:	/* N - N */
183*4882a593Smuzhiyun 			if (diff > 0) {
184*4882a593Smuzhiyun 				/* |a| > |b| */
185*4882a593Smuzhiyun 				tag =
186*4882a593Smuzhiyun 				    FPU_u_sub(a, b, dest, control_w, signa,
187*4882a593Smuzhiyun 					      expa, expb);
188*4882a593Smuzhiyun 			} else if (diff == 0) {
189*4882a593Smuzhiyun 				FPU_copy_to_regi(&CONST_Z, TAG_Zero, deststnr);
190*4882a593Smuzhiyun 
191*4882a593Smuzhiyun 				/* sign depends upon rounding mode */
192*4882a593Smuzhiyun 				setsign(dest, ((control_w & CW_RC) != RC_DOWN)
193*4882a593Smuzhiyun 					? SIGN_POS : SIGN_NEG);
194*4882a593Smuzhiyun 				return TAG_Zero;
195*4882a593Smuzhiyun 			} else {
196*4882a593Smuzhiyun 				sign = signa ^ SIGN_NEG;
197*4882a593Smuzhiyun 				tag =
198*4882a593Smuzhiyun 				    FPU_u_sub(b, a, dest, control_w, sign, expb,
199*4882a593Smuzhiyun 					      expa);
200*4882a593Smuzhiyun 			}
201*4882a593Smuzhiyun 			break;
202*4882a593Smuzhiyun 		case 1:	/* P - N */
203*4882a593Smuzhiyun 			tag =
204*4882a593Smuzhiyun 			    FPU_u_add(a, b, dest, control_w, SIGN_POS, expa,
205*4882a593Smuzhiyun 				      expb);
206*4882a593Smuzhiyun 			break;
207*4882a593Smuzhiyun 		case 2:	/* N - P */
208*4882a593Smuzhiyun 			tag =
209*4882a593Smuzhiyun 			    FPU_u_add(a, b, dest, control_w, SIGN_NEG, expa,
210*4882a593Smuzhiyun 				      expb);
211*4882a593Smuzhiyun 			break;
212*4882a593Smuzhiyun #ifdef PARANOID
213*4882a593Smuzhiyun 		default:
214*4882a593Smuzhiyun 			EXCEPTION(EX_INTERNAL | 0x111);
215*4882a593Smuzhiyun 			return -1;
216*4882a593Smuzhiyun #endif
217*4882a593Smuzhiyun 		}
218*4882a593Smuzhiyun 		if (tag < 0) {
219*4882a593Smuzhiyun 			setsign(dest, saved_sign);
220*4882a593Smuzhiyun 			return tag;
221*4882a593Smuzhiyun 		}
222*4882a593Smuzhiyun 		FPU_settagi(deststnr, tag);
223*4882a593Smuzhiyun 		return tag;
224*4882a593Smuzhiyun 	}
225*4882a593Smuzhiyun 
226*4882a593Smuzhiyun 	if (taga == TAG_Special)
227*4882a593Smuzhiyun 		taga = FPU_Special(a);
228*4882a593Smuzhiyun 	if (tagb == TAG_Special)
229*4882a593Smuzhiyun 		tagb = FPU_Special(b);
230*4882a593Smuzhiyun 
231*4882a593Smuzhiyun 	if (((taga == TAG_Valid) && (tagb == TW_Denormal))
232*4882a593Smuzhiyun 	    || ((taga == TW_Denormal) && (tagb == TAG_Valid))
233*4882a593Smuzhiyun 	    || ((taga == TW_Denormal) && (tagb == TW_Denormal))) {
234*4882a593Smuzhiyun 		FPU_REG x, y;
235*4882a593Smuzhiyun 
236*4882a593Smuzhiyun 		if (denormal_operand() < 0)
237*4882a593Smuzhiyun 			return FPU_Exception;
238*4882a593Smuzhiyun 
239*4882a593Smuzhiyun 		FPU_to_exp16(a, &x);
240*4882a593Smuzhiyun 		FPU_to_exp16(b, &y);
241*4882a593Smuzhiyun 		a = &x;
242*4882a593Smuzhiyun 		b = &y;
243*4882a593Smuzhiyun 		expa = exponent16(a);
244*4882a593Smuzhiyun 		expb = exponent16(b);
245*4882a593Smuzhiyun 
246*4882a593Smuzhiyun 		goto valid_subtract;
247*4882a593Smuzhiyun 	}
248*4882a593Smuzhiyun 
249*4882a593Smuzhiyun 	if ((taga == TW_NaN) || (tagb == TW_NaN)) {
250*4882a593Smuzhiyun 		FPU_REG const *d1, *d2;
251*4882a593Smuzhiyun 		if (flags & REV) {
252*4882a593Smuzhiyun 			d1 = b;
253*4882a593Smuzhiyun 			d2 = a;
254*4882a593Smuzhiyun 		} else {
255*4882a593Smuzhiyun 			d1 = a;
256*4882a593Smuzhiyun 			d2 = b;
257*4882a593Smuzhiyun 		}
258*4882a593Smuzhiyun 		if (flags & LOADED)
259*4882a593Smuzhiyun 			return real_2op_NaN(b, tagb, deststnr, d1);
260*4882a593Smuzhiyun 		if (flags & DEST_RM)
261*4882a593Smuzhiyun 			return real_2op_NaN(a, taga, deststnr, d2);
262*4882a593Smuzhiyun 		else
263*4882a593Smuzhiyun 			return real_2op_NaN(b, tagb, deststnr, d2);
264*4882a593Smuzhiyun 	}
265*4882a593Smuzhiyun 
266*4882a593Smuzhiyun 	return add_sub_specials(a, taga, signa, b, tagb, signb ^ SIGN_NEG,
267*4882a593Smuzhiyun 				dest, deststnr, control_w);
268*4882a593Smuzhiyun }
269*4882a593Smuzhiyun 
270*4882a593Smuzhiyun static
add_sub_specials(FPU_REG const * a,u_char taga,u_char signa,FPU_REG const * b,u_char tagb,u_char signb,FPU_REG * dest,int deststnr,int control_w)271*4882a593Smuzhiyun int add_sub_specials(FPU_REG const *a, u_char taga, u_char signa,
272*4882a593Smuzhiyun 		     FPU_REG const *b, u_char tagb, u_char signb,
273*4882a593Smuzhiyun 		     FPU_REG * dest, int deststnr, int control_w)
274*4882a593Smuzhiyun {
275*4882a593Smuzhiyun 	if (((taga == TW_Denormal) || (tagb == TW_Denormal))
276*4882a593Smuzhiyun 	    && (denormal_operand() < 0))
277*4882a593Smuzhiyun 		return FPU_Exception;
278*4882a593Smuzhiyun 
279*4882a593Smuzhiyun 	if (taga == TAG_Zero) {
280*4882a593Smuzhiyun 		if (tagb == TAG_Zero) {
281*4882a593Smuzhiyun 			/* Both are zero, result will be zero. */
282*4882a593Smuzhiyun 			u_char different_signs = signa ^ signb;
283*4882a593Smuzhiyun 
284*4882a593Smuzhiyun 			FPU_copy_to_regi(a, TAG_Zero, deststnr);
285*4882a593Smuzhiyun 			if (different_signs) {
286*4882a593Smuzhiyun 				/* Signs are different. */
287*4882a593Smuzhiyun 				/* Sign of answer depends upon rounding mode. */
288*4882a593Smuzhiyun 				setsign(dest, ((control_w & CW_RC) != RC_DOWN)
289*4882a593Smuzhiyun 					? SIGN_POS : SIGN_NEG);
290*4882a593Smuzhiyun 			} else
291*4882a593Smuzhiyun 				setsign(dest, signa);	/* signa may differ from the sign of a. */
292*4882a593Smuzhiyun 			return TAG_Zero;
293*4882a593Smuzhiyun 		} else {
294*4882a593Smuzhiyun 			reg_copy(b, dest);
295*4882a593Smuzhiyun 			if ((tagb == TW_Denormal) && (b->sigh & 0x80000000)) {
296*4882a593Smuzhiyun 				/* A pseudoDenormal, convert it. */
297*4882a593Smuzhiyun 				addexponent(dest, 1);
298*4882a593Smuzhiyun 				tagb = TAG_Valid;
299*4882a593Smuzhiyun 			} else if (tagb > TAG_Empty)
300*4882a593Smuzhiyun 				tagb = TAG_Special;
301*4882a593Smuzhiyun 			setsign(dest, signb);	/* signb may differ from the sign of b. */
302*4882a593Smuzhiyun 			FPU_settagi(deststnr, tagb);
303*4882a593Smuzhiyun 			return tagb;
304*4882a593Smuzhiyun 		}
305*4882a593Smuzhiyun 	} else if (tagb == TAG_Zero) {
306*4882a593Smuzhiyun 		reg_copy(a, dest);
307*4882a593Smuzhiyun 		if ((taga == TW_Denormal) && (a->sigh & 0x80000000)) {
308*4882a593Smuzhiyun 			/* A pseudoDenormal */
309*4882a593Smuzhiyun 			addexponent(dest, 1);
310*4882a593Smuzhiyun 			taga = TAG_Valid;
311*4882a593Smuzhiyun 		} else if (taga > TAG_Empty)
312*4882a593Smuzhiyun 			taga = TAG_Special;
313*4882a593Smuzhiyun 		setsign(dest, signa);	/* signa may differ from the sign of a. */
314*4882a593Smuzhiyun 		FPU_settagi(deststnr, taga);
315*4882a593Smuzhiyun 		return taga;
316*4882a593Smuzhiyun 	} else if (taga == TW_Infinity) {
317*4882a593Smuzhiyun 		if ((tagb != TW_Infinity) || (signa == signb)) {
318*4882a593Smuzhiyun 			FPU_copy_to_regi(a, TAG_Special, deststnr);
319*4882a593Smuzhiyun 			setsign(dest, signa);	/* signa may differ from the sign of a. */
320*4882a593Smuzhiyun 			return taga;
321*4882a593Smuzhiyun 		}
322*4882a593Smuzhiyun 		/* Infinity-Infinity is undefined. */
323*4882a593Smuzhiyun 		return arith_invalid(deststnr);
324*4882a593Smuzhiyun 	} else if (tagb == TW_Infinity) {
325*4882a593Smuzhiyun 		FPU_copy_to_regi(b, TAG_Special, deststnr);
326*4882a593Smuzhiyun 		setsign(dest, signb);	/* signb may differ from the sign of b. */
327*4882a593Smuzhiyun 		return tagb;
328*4882a593Smuzhiyun 	}
329*4882a593Smuzhiyun #ifdef PARANOID
330*4882a593Smuzhiyun 	EXCEPTION(EX_INTERNAL | 0x101);
331*4882a593Smuzhiyun #endif
332*4882a593Smuzhiyun 
333*4882a593Smuzhiyun 	return FPU_Exception;
334*4882a593Smuzhiyun }
335