Format and clean up s_atan2.c
This commit is contained in:
Siddhesh Poyarekar
parent
3a7182a14b
commit
1728ab378e
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@ -1,3 +1,7 @@
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2013-03-28 Siddhesh Poyarekar <siddhesh@redhat.com>
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* sysdeps/ieee-754/dbl-64/e_atan2.c: Reformat.
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2013-03-27 Joseph Myers <joseph@codesourcery.com>
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[BZ #15307]
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@ -53,96 +53,171 @@
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/* Assumption: Machine arithmetic operations are performed in */
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/* round to nearest mode of IEEE 754 standard. */
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/************************************************************************/
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static double atan2Mp(double ,double ,const int[]);
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static double atan2Mp (double, double, const int[]);
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/* Fix the sign and return after stage 1 or stage 2 */
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static double signArctan2(double y,double z)
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static double
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signArctan2 (double y, double z)
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{
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return __copysign(z, y);
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return __copysign (z, y);
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}
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static double normalized(double ,double,double ,double);
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void __mpatan2(mp_no *,mp_no *,mp_no *,int);
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static double normalized (double, double, double, double);
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void __mpatan2 (mp_no *, mp_no *, mp_no *, int);
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double
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SECTION
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__ieee754_atan2(double y,double x) {
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int i,de,ux,dx,uy,dy;
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static const int pr[MM]={6,8,10,20,32};
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double ax,ay,u,du,u9,ua,v,vv,dv,t1,t2,t3,t7,t8,
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z,zz,cor,s1,ss1,s2,ss2;
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__ieee754_atan2 (double y, double x)
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{
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int i, de, ux, dx, uy, dy;
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static const int pr[MM] = { 6, 8, 10, 20, 32 };
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double ax, ay, u, du, u9, ua, v, vv, dv, t1, t2, t3, t7, t8,
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z, zz, cor, s1, ss1, s2, ss2;
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#ifndef DLA_FMS
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double t4,t5,t6;
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double t4, t5, t6;
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#endif
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number num;
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static const int ep= 59768832, /* 57*16**5 */
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em=-59768832; /* -57*16**5 */
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static const int ep = 59768832, /* 57*16**5 */
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em = -59768832; /* -57*16**5 */
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/* x=NaN or y=NaN */
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num.d = x; ux = num.i[HIGH_HALF]; dx = num.i[LOW_HALF];
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if ((ux&0x7ff00000) ==0x7ff00000) {
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if (((ux&0x000fffff)|dx)!=0x00000000) return x+x; }
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num.d = y; uy = num.i[HIGH_HALF]; dy = num.i[LOW_HALF];
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if ((uy&0x7ff00000) ==0x7ff00000) {
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if (((uy&0x000fffff)|dy)!=0x00000000) return y+y; }
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num.d = x;
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ux = num.i[HIGH_HALF];
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dx = num.i[LOW_HALF];
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if ((ux & 0x7ff00000) == 0x7ff00000)
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{
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if (((ux & 0x000fffff) | dx) != 0x00000000)
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return x + x;
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}
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num.d = y;
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uy = num.i[HIGH_HALF];
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dy = num.i[LOW_HALF];
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if ((uy & 0x7ff00000) == 0x7ff00000)
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{
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if (((uy & 0x000fffff) | dy) != 0x00000000)
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return y + y;
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}
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/* y=+-0 */
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if (uy==0x00000000) {
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if (dy==0x00000000) {
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if ((ux&0x80000000)==0x00000000) return ZERO;
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else return opi.d; } }
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else if (uy==0x80000000) {
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if (dy==0x00000000) {
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if ((ux&0x80000000)==0x00000000) return MZERO;
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else return mopi.d;} }
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if (uy == 0x00000000)
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{
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if (dy == 0x00000000)
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{
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if ((ux & 0x80000000) == 0x00000000)
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return ZERO;
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else
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return opi.d;
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}
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}
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else if (uy == 0x80000000)
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{
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if (dy == 0x00000000)
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{
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if ((ux & 0x80000000) == 0x00000000)
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return MZERO;
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else
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return mopi.d;
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}
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}
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/* x=+-0 */
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if (x==ZERO) {
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if ((uy&0x80000000)==0x00000000) return hpi.d;
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else return mhpi.d; }
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if (x == ZERO)
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{
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if ((uy & 0x80000000) == 0x00000000)
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return hpi.d;
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else
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return mhpi.d;
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}
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/* x=+-INF */
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if (ux==0x7ff00000) {
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if (dx==0x00000000) {
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if (uy==0x7ff00000) {
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if (dy==0x00000000) return qpi.d; }
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else if (uy==0xfff00000) {
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if (dy==0x00000000) return mqpi.d; }
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else {
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if ((uy&0x80000000)==0x00000000) return ZERO;
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else return MZERO; }
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if (ux == 0x7ff00000)
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{
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if (dx == 0x00000000)
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{
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if (uy == 0x7ff00000)
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{
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if (dy == 0x00000000)
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return qpi.d;
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}
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else if (uy == 0xfff00000)
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{
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if (dy == 0x00000000)
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return mqpi.d;
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}
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else
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{
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if ((uy & 0x80000000) == 0x00000000)
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return ZERO;
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else
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return MZERO;
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}
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}
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}
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}
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else if (ux==0xfff00000) {
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if (dx==0x00000000) {
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if (uy==0x7ff00000) {
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if (dy==0x00000000) return tqpi.d; }
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else if (uy==0xfff00000) {
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if (dy==0x00000000) return mtqpi.d; }
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else {
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if ((uy&0x80000000)==0x00000000) return opi.d;
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else return mopi.d; }
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else if (ux == 0xfff00000)
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{
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if (dx == 0x00000000)
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{
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if (uy == 0x7ff00000)
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{
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if (dy == 0x00000000)
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return tqpi.d;
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}
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else if (uy == 0xfff00000)
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{
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if (dy == 0x00000000)
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return mtqpi.d;
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}
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else
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{
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if ((uy & 0x80000000) == 0x00000000)
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return opi.d;
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else
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return mopi.d;
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}
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}
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}
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}
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/* y=+-INF */
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if (uy==0x7ff00000) {
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if (dy==0x00000000) return hpi.d; }
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else if (uy==0xfff00000) {
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if (dy==0x00000000) return mhpi.d; }
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if (uy == 0x7ff00000)
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{
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if (dy == 0x00000000)
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return hpi.d;
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}
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else if (uy == 0xfff00000)
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{
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if (dy == 0x00000000)
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return mhpi.d;
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}
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/* either x/y or y/x is very close to zero */
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ax = (x<ZERO) ? -x : x; ay = (y<ZERO) ? -y : y;
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ax = (x < ZERO) ? -x : x;
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ay = (y < ZERO) ? -y : y;
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de = (uy & 0x7ff00000) - (ux & 0x7ff00000);
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if (de>=ep) { return ((y>ZERO) ? hpi.d : mhpi.d); }
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else if (de<=em) {
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if (x>ZERO) {
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if ((z=ay/ax)<TWOM1022) return normalized(ax,ay,y,z);
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else return signArctan2(y,z); }
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else { return ((y>ZERO) ? opi.d : mopi.d); } }
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if (de >= ep)
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{
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return ((y > ZERO) ? hpi.d : mhpi.d);
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}
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else if (de <= em)
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{
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if (x > ZERO)
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{
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if ((z = ay / ax) < TWOM1022)
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return normalized (ax, ay, y, z);
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else
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return signArctan2 (y, z);
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}
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else
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{
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return ((y > ZERO) ? opi.d : mopi.d);
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}
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}
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/* if either x or y is extremely close to zero, scale abs(x), abs(y). */
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if (ax<twom500.d || ay<twom500.d) { ax*=two500.d; ay*=two500.d; }
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if (ax < twom500.d || ay < twom500.d)
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{
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ax *= two500.d;
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ay *= two500.d;
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}
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/* Likewise for large x and y. */
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if (ax > two500.d || ay > two500.d)
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@ -152,268 +227,377 @@ __ieee754_atan2(double y,double x) {
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}
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/* x,y which are neither special nor extreme */
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if (ay<ax) {
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u=ay/ax;
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EMULV(ax,u,v,vv,t1,t2,t3,t4,t5)
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du=((ay-v)-vv)/ax; }
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else {
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u=ax/ay;
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EMULV(ay,u,v,vv,t1,t2,t3,t4,t5)
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du=((ax-v)-vv)/ay; }
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if (x>ZERO) {
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/* (i) x>0, abs(y)< abs(x): atan(ay/ax) */
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if (ay<ax) {
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if (u<inv16.d) {
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v=u*u; zz=du+u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
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if ((z=u+(zz-u1.d*u)) == u+(zz+u1.d*u)) return signArctan2(y,z);
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MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
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s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
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ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
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if ((z=s1+(ss1-u5.d*s1)) == s1+(ss1+u5.d*s1)) return signArctan2(y,z);
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return atan2Mp(x,y,pr);
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}
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else {
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i=(TWO52+TWO8*u)-TWO52; i-=16;
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t3=u-cij[i][0].d;
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EADD(t3,du,v,dv)
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t1=cij[i][1].d; t2=cij[i][2].d;
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zz=v*t2+(dv*t2+v*v*(cij[i][3].d+v*(cij[i][4].d+
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v*(cij[i][5].d+v* cij[i][6].d))));
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if (i<112) {
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if (i<48) u9=u91.d; /* u < 1/4 */
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else u9=u92.d; } /* 1/4 <= u < 1/2 */
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else {
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if (i<176) u9=u93.d; /* 1/2 <= u < 3/4 */
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else u9=u94.d; } /* 3/4 <= u <= 1 */
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if ((z=t1+(zz-u9*t1)) == t1+(zz+u9*t1)) return signArctan2(y,z);
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t1=u-hij[i][0].d;
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EADD(t1,du,v,vv)
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s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
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v*(hij[i][14].d+v* hij[i][15].d))));
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ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
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if ((z=s2+(ss2-ub.d*s2)) == s2+(ss2+ub.d*s2)) return signArctan2(y,z);
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return atan2Mp(x,y,pr);
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}
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if (ay < ax)
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{
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u = ay / ax;
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EMULV (ax, u, v, vv, t1, t2, t3, t4, t5);
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du = ((ay - v) - vv) / ax;
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}
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else
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{
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u = ax / ay;
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EMULV (ay, u, v, vv, t1, t2, t3, t4, t5);
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du = ((ax - v) - vv) / ay;
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}
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/* (ii) x>0, abs(x)<=abs(y): pi/2-atan(ax/ay) */
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else {
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if (u<inv16.d) {
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v=u*u;
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zz=u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
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ESUB(hpi.d,u,t2,cor)
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t3=((hpi1.d+cor)-du)-zz;
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if ((z=t2+(t3-u2.d)) == t2+(t3+u2.d)) return signArctan2(y,z);
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if (x > ZERO)
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{
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/* (i) x>0, abs(y)< abs(x): atan(ay/ax) */
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if (ay < ax)
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{
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if (u < inv16.d)
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{
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v = u * u;
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MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
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s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
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ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
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MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
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MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
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ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
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SUB2(hpi.d,hpi1.d,s1,ss1,s2,ss2,t1,t2)
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if ((z=s2+(ss2-u6.d)) == s2+(ss2+u6.d)) return signArctan2(y,z);
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return atan2Mp(x,y,pr);
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}
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else {
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i=(TWO52+TWO8*u)-TWO52; i-=16;
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v=(u-cij[i][0].d)+du;
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zz=hpi1.d-v*(cij[i][2].d+v*(cij[i][3].d+v*(cij[i][4].d+
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v*(cij[i][5].d+v* cij[i][6].d))));
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t1=hpi.d-cij[i][1].d;
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if (i<112) ua=ua1.d; /* w < 1/2 */
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else ua=ua2.d; /* w >= 1/2 */
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if ((z=t1+(zz-ua)) == t1+(zz+ua)) return signArctan2(y,z);
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zz = du + u * v * (d3.d
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+ v * (d5.d
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+ v * (d7.d
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+ v * (d9.d
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+ v * (d11.d
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+ v * d13.d)))));
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t1=u-hij[i][0].d;
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EADD(t1,du,v,vv)
|
||||
s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
|
||||
v*(hij[i][14].d+v* hij[i][15].d))));
|
||||
ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
|
||||
SUB2(hpi.d,hpi1.d,s2,ss2,s1,ss1,t1,t2)
|
||||
if ((z=s1+(ss1-uc.d)) == s1+(ss1+uc.d)) return signArctan2(y,z);
|
||||
return atan2Mp(x,y,pr);
|
||||
}
|
||||
}
|
||||
}
|
||||
else {
|
||||
if ((z = u + (zz - u1.d * u)) == u + (zz + u1.d * u))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
/* (iii) x<0, abs(x)< abs(y): pi/2+atan(ax/ay) */
|
||||
if (ax<ay) {
|
||||
if (u<inv16.d) {
|
||||
v=u*u;
|
||||
zz=u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
|
||||
EADD(hpi.d,u,t2,cor)
|
||||
t3=((hpi1.d+cor)+du)+zz;
|
||||
if ((z=t2+(t3-u3.d)) == t2+(t3+u3.d)) return signArctan2(y,z);
|
||||
MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
s1 = v * (f11.d + v * (f13.d
|
||||
+ v * (f15.d + v * (f17.d + v * f19.d))));
|
||||
ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
|
||||
|
||||
MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
|
||||
ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
|
||||
ADD2(hpi.d,hpi1.d,s1,ss1,s2,ss2,t1,t2)
|
||||
if ((z=s2+(ss2-u7.d)) == s2+(ss2+u7.d)) return signArctan2(y,z);
|
||||
return atan2Mp(x,y,pr);
|
||||
}
|
||||
else {
|
||||
i=(TWO52+TWO8*u)-TWO52; i-=16;
|
||||
v=(u-cij[i][0].d)+du;
|
||||
zz=hpi1.d+v*(cij[i][2].d+v*(cij[i][3].d+v*(cij[i][4].d+
|
||||
v*(cij[i][5].d+v* cij[i][6].d))));
|
||||
t1=hpi.d+cij[i][1].d;
|
||||
if (i<112) ua=ua1.d; /* w < 1/2 */
|
||||
else ua=ua2.d; /* w >= 1/2 */
|
||||
if ((z=t1+(zz-ua)) == t1+(zz+ua)) return signArctan2(y,z);
|
||||
if ((z = s1 + (ss1 - u5.d * s1)) == s1 + (ss1 + u5.d * s1))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
t1=u-hij[i][0].d;
|
||||
EADD(t1,du,v,vv)
|
||||
s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
|
||||
v*(hij[i][14].d+v* hij[i][15].d))));
|
||||
ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
|
||||
ADD2(hpi.d,hpi1.d,s2,ss2,s1,ss1,t1,t2)
|
||||
if ((z=s1+(ss1-uc.d)) == s1+(ss1+uc.d)) return signArctan2(y,z);
|
||||
return atan2Mp(x,y,pr);
|
||||
}
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
|
||||
i = (TWO52 + TWO8 * u) - TWO52;
|
||||
i -= 16;
|
||||
t3 = u - cij[i][0].d;
|
||||
EADD (t3, du, v, dv);
|
||||
t1 = cij[i][1].d;
|
||||
t2 = cij[i][2].d;
|
||||
zz = v * t2 + (dv * t2
|
||||
+ v * v * (cij[i][3].d
|
||||
+ v * (cij[i][4].d
|
||||
+ v * (cij[i][5].d
|
||||
+ v * cij[i][6].d))));
|
||||
if (i < 112)
|
||||
{
|
||||
if (i < 48)
|
||||
u9 = u91.d; /* u < 1/4 */
|
||||
else
|
||||
u9 = u92.d;
|
||||
} /* 1/4 <= u < 1/2 */
|
||||
else
|
||||
{
|
||||
if (i < 176)
|
||||
u9 = u93.d; /* 1/2 <= u < 3/4 */
|
||||
else
|
||||
u9 = u94.d;
|
||||
} /* 3/4 <= u <= 1 */
|
||||
if ((z = t1 + (zz - u9 * t1)) == t1 + (zz + u9 * t1))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
t1 = u - hij[i][0].d;
|
||||
EADD (t1, du, v, vv);
|
||||
s1 = v * (hij[i][11].d
|
||||
+ v * (hij[i][12].d
|
||||
+ v * (hij[i][13].d
|
||||
+ v * (hij[i][14].d
|
||||
+ v * hij[i][15].d))));
|
||||
ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
|
||||
|
||||
if ((z = s2 + (ss2 - ub.d * s2)) == s2 + (ss2 + ub.d * s2))
|
||||
return signArctan2 (y, z);
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
|
||||
/* (ii) x>0, abs(x)<=abs(y): pi/2-atan(ax/ay) */
|
||||
if (u < inv16.d)
|
||||
{
|
||||
v = u * u;
|
||||
zz = u * v * (d3.d
|
||||
+ v * (d5.d
|
||||
+ v * (d7.d
|
||||
+ v * (d9.d
|
||||
+ v * (d11.d
|
||||
+ v * d13.d)))));
|
||||
ESUB (hpi.d, u, t2, cor);
|
||||
t3 = ((hpi1.d + cor) - du) - zz;
|
||||
if ((z = t2 + (t3 - u2.d)) == t2 + (t3 + u2.d))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
s1 = v * (f11.d
|
||||
+ v * (f13.d
|
||||
+ v * (f15.d + v * (f17.d + v * f19.d))));
|
||||
ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
|
||||
SUB2 (hpi.d, hpi1.d, s1, ss1, s2, ss2, t1, t2);
|
||||
|
||||
if ((z = s2 + (ss2 - u6.d)) == s2 + (ss2 + u6.d))
|
||||
return signArctan2 (y, z);
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
|
||||
i = (TWO52 + TWO8 * u) - TWO52;
|
||||
i -= 16;
|
||||
v = (u - cij[i][0].d) + du;
|
||||
|
||||
zz = hpi1.d - v * (cij[i][2].d
|
||||
+ v * (cij[i][3].d
|
||||
+ v * (cij[i][4].d
|
||||
+ v * (cij[i][5].d
|
||||
+ v * cij[i][6].d))));
|
||||
t1 = hpi.d - cij[i][1].d;
|
||||
if (i < 112)
|
||||
ua = ua1.d; /* w < 1/2 */
|
||||
else
|
||||
ua = ua2.d; /* w >= 1/2 */
|
||||
if ((z = t1 + (zz - ua)) == t1 + (zz + ua))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
t1 = u - hij[i][0].d;
|
||||
EADD (t1, du, v, vv);
|
||||
|
||||
s1 = v * (hij[i][11].d
|
||||
+ v * (hij[i][12].d
|
||||
+ v * (hij[i][13].d
|
||||
+ v * (hij[i][14].d
|
||||
+ v * hij[i][15].d))));
|
||||
|
||||
ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
|
||||
SUB2 (hpi.d, hpi1.d, s2, ss2, s1, ss1, t1, t2);
|
||||
|
||||
if ((z = s1 + (ss1 - uc.d)) == s1 + (ss1 + uc.d))
|
||||
return signArctan2 (y, z);
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
|
||||
/* (iv) x<0, abs(y)<=abs(x): pi-atan(ax/ay) */
|
||||
else {
|
||||
if (u<inv16.d) {
|
||||
v=u*u;
|
||||
zz=u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
|
||||
ESUB(opi.d,u,t2,cor)
|
||||
t3=((opi1.d+cor)-du)-zz;
|
||||
if ((z=t2+(t3-u4.d)) == t2+(t3+u4.d)) return signArctan2(y,z);
|
||||
/* (iii) x<0, abs(x)< abs(y): pi/2+atan(ax/ay) */
|
||||
if (ax < ay)
|
||||
{
|
||||
if (u < inv16.d)
|
||||
{
|
||||
v = u * u;
|
||||
zz = u * v * (d3.d
|
||||
+ v * (d5.d
|
||||
+ v * (d7.d
|
||||
+ v * (d9.d
|
||||
+ v * (d11.d + v * d13.d)))));
|
||||
EADD (hpi.d, u, t2, cor);
|
||||
t3 = ((hpi1.d + cor) + du) + zz;
|
||||
if ((z = t2 + (t3 - u3.d)) == t2 + (t3 + u3.d))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
MUL2(u,du,u,du,v,vv,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
s1=v*(f11.d+v*(f13.d+v*(f15.d+v*(f17.d+v*f19.d))));
|
||||
ADD2(f9.d,ff9.d,s1,ZERO,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(f7.d,ff7.d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(f5.d,ff5.d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(f3.d,ff3.d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
MUL2(u,du,s1,ss1,s2,ss2,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(u,du,s2,ss2,s1,ss1,t1,t2)
|
||||
SUB2(opi.d,opi1.d,s1,ss1,s2,ss2,t1,t2)
|
||||
if ((z=s2+(ss2-u8.d)) == s2+(ss2+u8.d)) return signArctan2(y,z);
|
||||
return atan2Mp(x,y,pr);
|
||||
}
|
||||
else {
|
||||
i=(TWO52+TWO8*u)-TWO52; i-=16;
|
||||
v=(u-cij[i][0].d)+du;
|
||||
zz=opi1.d-v*(cij[i][2].d+v*(cij[i][3].d+v*(cij[i][4].d+
|
||||
v*(cij[i][5].d+v* cij[i][6].d))));
|
||||
t1=opi.d-cij[i][1].d;
|
||||
if (i<112) ua=ua1.d; /* w < 1/2 */
|
||||
else ua=ua2.d; /* w >= 1/2 */
|
||||
if ((z=t1+(zz-ua)) == t1+(zz+ua)) return signArctan2(y,z);
|
||||
MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
s1 = v * (f11.d
|
||||
+ v * (f13.d + v * (f15.d + v * (f17.d + v * f19.d))));
|
||||
ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
|
||||
ADD2 (hpi.d, hpi1.d, s1, ss1, s2, ss2, t1, t2);
|
||||
|
||||
t1=u-hij[i][0].d;
|
||||
EADD(t1,du,v,vv)
|
||||
s1=v*(hij[i][11].d+v*(hij[i][12].d+v*(hij[i][13].d+
|
||||
v*(hij[i][14].d+v* hij[i][15].d))));
|
||||
ADD2(hij[i][9].d,hij[i][10].d,s1,ZERO,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][7].d,hij[i][8].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][5].d,hij[i][6].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][3].d,hij[i][4].d,s1,ss1,s2,ss2,t1,t2)
|
||||
MUL2(v,vv,s2,ss2,s1,ss1,t1,t2,t3,t4,t5,t6,t7,t8)
|
||||
ADD2(hij[i][1].d,hij[i][2].d,s1,ss1,s2,ss2,t1,t2)
|
||||
SUB2(opi.d,opi1.d,s2,ss2,s1,ss1,t1,t2)
|
||||
if ((z=s1+(ss1-uc.d)) == s1+(ss1+uc.d)) return signArctan2(y,z);
|
||||
return atan2Mp(x,y,pr);
|
||||
}
|
||||
if ((z = s2 + (ss2 - u7.d)) == s2 + (ss2 + u7.d))
|
||||
return signArctan2 (y, z);
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
|
||||
i = (TWO52 + TWO8 * u) - TWO52;
|
||||
i -= 16;
|
||||
v = (u - cij[i][0].d) + du;
|
||||
zz = hpi1.d + v * (cij[i][2].d
|
||||
+ v * (cij[i][3].d
|
||||
+ v * (cij[i][4].d
|
||||
+ v * (cij[i][5].d
|
||||
+ v * cij[i][6].d))));
|
||||
t1 = hpi.d + cij[i][1].d;
|
||||
if (i < 112)
|
||||
ua = ua1.d; /* w < 1/2 */
|
||||
else
|
||||
ua = ua2.d; /* w >= 1/2 */
|
||||
if ((z = t1 + (zz - ua)) == t1 + (zz + ua))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
t1 = u - hij[i][0].d;
|
||||
EADD (t1, du, v, vv);
|
||||
s1 = v * (hij[i][11].d
|
||||
+ v * (hij[i][12].d
|
||||
+ v * (hij[i][13].d
|
||||
+ v * (hij[i][14].d
|
||||
+ v * hij[i][15].d))));
|
||||
ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
|
||||
ADD2 (hpi.d, hpi1.d, s2, ss2, s1, ss1, t1, t2);
|
||||
|
||||
if ((z = s1 + (ss1 - uc.d)) == s1 + (ss1 + uc.d))
|
||||
return signArctan2 (y, z);
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
}
|
||||
|
||||
/* (iv) x<0, abs(y)<=abs(x): pi-atan(ax/ay) */
|
||||
if (u < inv16.d)
|
||||
{
|
||||
v = u * u;
|
||||
zz = u * v * (d3.d
|
||||
+ v * (d5.d
|
||||
+ v * (d7.d
|
||||
+ v * (d9.d + v * (d11.d + v * d13.d)))));
|
||||
ESUB (opi.d, u, t2, cor);
|
||||
t3 = ((opi1.d + cor) - du) - zz;
|
||||
if ((z = t2 + (t3 - u4.d)) == t2 + (t3 + u4.d))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
MUL2 (u, du, u, du, v, vv, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
s1 = v * (f11.d + v * (f13.d + v * (f15.d + v * (f17.d + v * f19.d))));
|
||||
ADD2 (f9.d, ff9.d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f7.d, ff7.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f5.d, ff5.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (f3.d, ff3.d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
MUL2 (u, du, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
|
||||
SUB2 (opi.d, opi1.d, s1, ss1, s2, ss2, t1, t2);
|
||||
|
||||
if ((z = s2 + (ss2 - u8.d)) == s2 + (ss2 + u8.d))
|
||||
return signArctan2 (y, z);
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
|
||||
i = (TWO52 + TWO8 * u) - TWO52;
|
||||
i -= 16;
|
||||
v = (u - cij[i][0].d) + du;
|
||||
zz = opi1.d - v * (cij[i][2].d
|
||||
+ v * (cij[i][3].d
|
||||
+ v * (cij[i][4].d
|
||||
+ v * (cij[i][5].d + v * cij[i][6].d))));
|
||||
t1 = opi.d - cij[i][1].d;
|
||||
if (i < 112)
|
||||
ua = ua1.d; /* w < 1/2 */
|
||||
else
|
||||
ua = ua2.d; /* w >= 1/2 */
|
||||
if ((z = t1 + (zz - ua)) == t1 + (zz + ua))
|
||||
return signArctan2 (y, z);
|
||||
|
||||
t1 = u - hij[i][0].d;
|
||||
|
||||
EADD (t1, du, v, vv);
|
||||
|
||||
s1 = v * (hij[i][11].d
|
||||
+ v * (hij[i][12].d
|
||||
+ v * (hij[i][13].d
|
||||
+ v * (hij[i][14].d + v * hij[i][15].d))));
|
||||
|
||||
ADD2 (hij[i][9].d, hij[i][10].d, s1, ZERO, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][7].d, hij[i][8].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][5].d, hij[i][6].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][3].d, hij[i][4].d, s1, ss1, s2, ss2, t1, t2);
|
||||
MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
|
||||
ADD2 (hij[i][1].d, hij[i][2].d, s1, ss1, s2, ss2, t1, t2);
|
||||
SUB2 (opi.d, opi1.d, s2, ss2, s1, ss1, t1, t2);
|
||||
|
||||
if ((z = s1 + (ss1 - uc.d)) == s1 + (ss1 + uc.d))
|
||||
return signArctan2 (y, z);
|
||||
return atan2Mp (x, y, pr);
|
||||
}
|
||||
|
||||
#ifndef __ieee754_atan2
|
||||
strong_alias (__ieee754_atan2, __atan2_finite)
|
||||
#endif
|
||||
|
||||
/* Treat the Denormalized case */
|
||||
/* Treat the Denormalized case */
|
||||
static double
|
||||
SECTION
|
||||
normalized(double ax,double ay,double y, double z)
|
||||
{ int p;
|
||||
mp_no mpx,mpy,mpz,mperr,mpz2,mpt1;
|
||||
p=6;
|
||||
__dbl_mp(ax,&mpx,p); __dbl_mp(ay,&mpy,p); __dvd(&mpy,&mpx,&mpz,p);
|
||||
__dbl_mp(ue.d,&mpt1,p); __mul(&mpz,&mpt1,&mperr,p);
|
||||
__sub(&mpz,&mperr,&mpz2,p); __mp_dbl(&mpz2,&z,p);
|
||||
return signArctan2(y,z);
|
||||
}
|
||||
/* Stage 3: Perform a multi-Precision computation */
|
||||
static double
|
||||
SECTION
|
||||
atan2Mp(double x,double y,const int pr[])
|
||||
normalized (double ax, double ay, double y, double z)
|
||||
{
|
||||
double z1,z2;
|
||||
int i,p;
|
||||
mp_no mpx,mpy,mpz,mpz1,mpz2,mperr,mpt1;
|
||||
for (i=0; i<MM; i++) {
|
||||
p = pr[i];
|
||||
__dbl_mp(x,&mpx,p); __dbl_mp(y,&mpy,p);
|
||||
__mpatan2(&mpy,&mpx,&mpz,p);
|
||||
__dbl_mp(ud[i].d,&mpt1,p); __mul(&mpz,&mpt1,&mperr,p);
|
||||
__add(&mpz,&mperr,&mpz1,p); __sub(&mpz,&mperr,&mpz2,p);
|
||||
__mp_dbl(&mpz1,&z1,p); __mp_dbl(&mpz2,&z2,p);
|
||||
if (z1==z2) return z1;
|
||||
}
|
||||
return z1; /*if unpossible to do exact computing */
|
||||
int p;
|
||||
mp_no mpx, mpy, mpz, mperr, mpz2, mpt1;
|
||||
p = 6;
|
||||
__dbl_mp (ax, &mpx, p);
|
||||
__dbl_mp (ay, &mpy, p);
|
||||
__dvd (&mpy, &mpx, &mpz, p);
|
||||
__dbl_mp (ue.d, &mpt1, p);
|
||||
__mul (&mpz, &mpt1, &mperr, p);
|
||||
__sub (&mpz, &mperr, &mpz2, p);
|
||||
__mp_dbl (&mpz2, &z, p);
|
||||
return signArctan2 (y, z);
|
||||
}
|
||||
|
||||
/* Stage 3: Perform a multi-Precision computation */
|
||||
static double
|
||||
SECTION
|
||||
atan2Mp (double x, double y, const int pr[])
|
||||
{
|
||||
double z1, z2;
|
||||
int i, p;
|
||||
mp_no mpx, mpy, mpz, mpz1, mpz2, mperr, mpt1;
|
||||
for (i = 0; i < MM; i++)
|
||||
{
|
||||
p = pr[i];
|
||||
__dbl_mp (x, &mpx, p);
|
||||
__dbl_mp (y, &mpy, p);
|
||||
__mpatan2 (&mpy, &mpx, &mpz, p);
|
||||
__dbl_mp (ud[i].d, &mpt1, p);
|
||||
__mul (&mpz, &mpt1, &mperr, p);
|
||||
__add (&mpz, &mperr, &mpz1, p);
|
||||
__sub (&mpz, &mperr, &mpz2, p);
|
||||
__mp_dbl (&mpz1, &z1, p);
|
||||
__mp_dbl (&mpz2, &z2, p);
|
||||
if (z1 == z2)
|
||||
return z1;
|
||||
}
|
||||
return z1; /*if impossible to do exact computing */
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in a new issue