/* * CDDL HEADER START * * The contents of this file are subject to the terms of the * Common Development and Distribution License, Version 1.0 only * (the "License"). You may not use this file except in compliance * with the License. * * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE * or http://www.opensolaris.org/os/licensing. * See the License for the specific language governing permissions * and limitations under the License. * * When distributing Covered Code, include this CDDL HEADER in each * file and include the License file at usr/src/OPENSOLARIS.LICENSE. * If applicable, add the following below this CDDL HEADER, with the * fields enclosed by brackets "[]" replaced with your own identifying * information: Portions Copyright [yyyy] [name of copyright owner] * * CDDL HEADER END */ #pragma ident "%Z%%M% %I% %E% SMI" /* * Copyright (c) 1988 by Sun Microsystems, Inc. */ #include "_Qquad.h" #include "_Qglobals.h" void _fp_div(px, py, pz) unpacked *px, *py, *pz; { unsigned r[4],*y,q,c; int n; *pz = *px; pz->sign = px->sign ^ py->sign; if ((py->fpclass == fp_quiet) || (py->fpclass == fp_signaling)) { *pz = *py; return; } switch (px->fpclass) { case fp_quiet: case fp_signaling: return; case fp_zero: case fp_infinity: if (px->fpclass == py->fpclass) { /* 0/0 or inf/inf */ fpu_error_nan(pz); pz->fpclass = fp_quiet; } return; case fp_normal: switch (py->fpclass) { case fp_zero: /* number/0 */ fpu_set_exception(fp_division); pz->fpclass = fp_infinity; return; case fp_infinity: /* number/inf */ pz->fpclass = fp_zero; return; } } /* Now x and y are both normal or subnormal. */ r[0] = px->significand[0]; r[1] = px->significand[1]; r[2] = px->significand[2]; r[3] = px->significand[3]; y = py->significand; if(fpu_cmpli(r,y,4)>=0) pz->exponent = px->exponent - py->exponent; else pz->exponent = px->exponent - py->exponent - 1; q=0; while(q<0x10000) { /* generate quo[0] */ q<<=1; if(fpu_cmpli(r,y,4)>=0) { q += 1; /* if r>y do r-=y and q+=1 */ c = 0; c = fpu_sub3wc(&r[3],r[3],y[3],c); c = fpu_sub3wc(&r[2],r[2],y[2],c); c = fpu_sub3wc(&r[1],r[1],y[1],c); c = fpu_sub3wc(&r[0],r[0],y[0],c); } r[0] = (r[0]<<1)|((r[1]&0x80000000)>>31); /* r << 1 */ r[1] = (r[1]<<1)|((r[2]&0x80000000)>>31); r[2] = (r[2]<<1)|((r[3]&0x80000000)>>31); r[3] = (r[3]<<1); } pz->significand[0]=q; q=0; /* generate quo[1] */ n = 32; while(n--) { q<<=1; if(fpu_cmpli(r,y,4)>=0) { q += 1; /* if r>y do r-=y and q+=1 */ c = 0; c = fpu_sub3wc(&r[3],r[3],y[3],c); c = fpu_sub3wc(&r[2],r[2],y[2],c); c = fpu_sub3wc(&r[1],r[1],y[1],c); c = fpu_sub3wc(&r[0],r[0],y[0],c); } r[0] = (r[0]<<1)|((r[1]&0x80000000)>>31); /* r << 1 */ r[1] = (r[1]<<1)|((r[2]&0x80000000)>>31); r[2] = (r[2]<<1)|((r[3]&0x80000000)>>31); r[3] = (r[3]<<1); } pz->significand[1] = q; q=0; /* generate quo[2] */ n = 32; while(n--) { q<<=1; if(fpu_cmpli(r,y,4)>=0) { q += 1; /* if r>y do r-=y and q+=1 */ c = 0; c = fpu_sub3wc(&r[3],r[3],y[3],c); c = fpu_sub3wc(&r[2],r[2],y[2],c); c = fpu_sub3wc(&r[1],r[1],y[1],c); c = fpu_sub3wc(&r[0],r[0],y[0],c); } r[0] = (r[0]<<1)|((r[1]&0x80000000)>>31); /* r << 1 */ r[1] = (r[1]<<1)|((r[2]&0x80000000)>>31); r[2] = (r[2]<<1)|((r[3]&0x80000000)>>31); r[3] = (r[3]<<1); } pz->significand[2] = q; q=0; /* generate quo[3] */ n = 32; while(n--) { q<<=1; if(fpu_cmpli(r,y,4)>=0) { q += 1; /* if r>y do r-=y and q+=1 */ c = 0; c = fpu_sub3wc(&r[3],r[3],y[3],c); c = fpu_sub3wc(&r[2],r[2],y[2],c); c = fpu_sub3wc(&r[1],r[1],y[1],c); c = fpu_sub3wc(&r[0],r[0],y[0],c); } r[0] = (r[0]<<1)|((r[1]&0x80000000)>>31); /* r << 1 */ r[1] = (r[1]<<1)|((r[2]&0x80000000)>>31); r[2] = (r[2]<<1)|((r[3]&0x80000000)>>31); r[3] = (r[3]<<1); } pz->significand[3] = q; if((r[0]|r[1]|r[2]|r[3])==0) pz->sticky = pz->rounded = 0; else { pz->sticky = 1; /* half way case won't occur */ if(fpu_cmpli(r,y,4)>=0) pz->rounded = 1; } } void _fp_sqrt(px, pz) unpacked *px, *pz; { /* *pz gets sqrt(*px) */ unsigned *x,r,c,q,t[4],s[4]; *pz = *px; switch (px->fpclass) { case fp_quiet: case fp_signaling: case fp_zero: return; case fp_infinity: if (px->sign == 1) { /* sqrt(-inf) */ fpu_error_nan(pz); pz->fpclass = fp_quiet; } return; case fp_normal: if (px->sign == 1) { /* sqrt(-norm) */ fpu_error_nan(pz); pz->fpclass = fp_quiet; return; } } /* Now x is normal. */ x = px->significand; if (px->exponent & 1) { /* sqrt(1.f * 2**odd) = sqrt (2.+2f) * * 2**(odd-1)/2 */ pz->exponent = (px->exponent - 1) / 2; x[0] = (x[0]<<1)|((x[1]&0x80000000)>>31); /* x<<1 */ x[1] = (x[1]<<1)|((x[2]&0x80000000)>>31); x[2] = (x[2]<<1)|((x[3]&0x80000000)>>31); x[3] = (x[3]<<1); } else { /* sqrt(1.f * 2**even) = sqrt (1.f) * * 2**(even)/2 */ pz->exponent = px->exponent / 2; } s[0]=s[1]=s[2]=s[3]=t[0]=t[1]=t[2]=t[3]=0; q = 0; r = 0x00010000; while(r!=0) { /* compute sqrt[0] */ t[0] = s[0]+r; if(t[0]<=x[0]) { s[0] = t[0]+r; x[0] -= t[0]; q += r; } x[0] = (x[0]<<1)|((x[1]&0x80000000)>>31); /* x<<1 */ x[1] = (x[1]<<1)|((x[2]&0x80000000)>>31); x[2] = (x[2]<<1)|((x[3]&0x80000000)>>31); x[3] = (x[3]<<1); r>>=1; } pz->significand[0] = q; q = 0; r = 0x80000000; while(r!=0) { /* compute sqrt[1] */ t[1] = s[1]+r; /* no carry */ t[0] = s[0]; if(fpu_cmpli(t,x,2)<=0) { c = 0; c = fpu_add3wc(&s[1],t[1],r,c); c = fpu_add3wc(&s[0],t[0],0,c); c = 0; c = fpu_sub3wc(&x[1],x[1],t[1],c); c = fpu_sub3wc(&x[0],x[0],t[0],c); q += r; } x[0] = (x[0]<<1)|((x[1]&0x80000000)>>31); /* x<<1 */ x[1] = (x[1]<<1)|((x[2]&0x80000000)>>31); x[2] = (x[2]<<1)|((x[3]&0x80000000)>>31); x[3] = (x[3]<<1); r>>=1; } pz->significand[1] = q; q = 0; r = 0x80000000; while(r!=0) { /* compute sqrt[2] */ t[2] = s[2]+r; /* no carry */ t[1] = s[1]; t[0] = s[0]; if(fpu_cmpli(t,x,3)<=0) { c = 0; c = fpu_add3wc(&s[2],t[2],r,c); c = fpu_add3wc(&s[1],t[1],0,c); c = fpu_add3wc(&s[0],t[0],0,c); c = 0; c = fpu_sub3wc(&x[2],x[2],t[2],c); c = fpu_sub3wc(&x[1],x[1],t[1],c); c = fpu_sub3wc(&x[0],x[0],t[0],c); q += r; } x[0] = (x[0]<<1)|((x[1]&0x80000000)>>31); /* x<<1 */ x[1] = (x[1]<<1)|((x[2]&0x80000000)>>31); x[2] = (x[2]<<1)|((x[3]&0x80000000)>>31); x[3] = (x[3]<<1); r>>=1; } pz->significand[2] = q; q = 0; r = 0x80000000; while(r!=0) { /* compute sqrt[3] */ t[3] = s[3]+r; /* no carry */ t[2] = s[2]; t[1] = s[1]; t[0] = s[0]; if(fpu_cmpli(t,x,4)<=0) { c = 0; c = fpu_add3wc(&s[3],t[3],r,c); c = fpu_add3wc(&s[2],t[2],0,c); c = fpu_add3wc(&s[1],t[1],0,c); c = fpu_add3wc(&s[0],t[0],0,c); c = 0; c = fpu_sub3wc(&x[3],x[3],t[3],c); c = fpu_sub3wc(&x[2],x[2],t[2],c); c = fpu_sub3wc(&x[1],x[1],t[1],c); c = fpu_sub3wc(&x[0],x[0],t[0],c); q += r; } x[0] = (x[0]<<1)|((x[1]&0x80000000)>>31); /* x<<1 */ x[1] = (x[1]<<1)|((x[2]&0x80000000)>>31); x[2] = (x[2]<<1)|((x[3]&0x80000000)>>31); x[3] = (x[3]<<1); r>>=1; } pz->significand[3] = q; if((x[0]|x[1]|x[2]|x[3])==0) { pz->sticky = pz->rounded = 0; } else { pz->sticky = 1; if(fpu_cmpli(s,x,4)<0) pz->rounded=1; else pz->rounded = 0; } }