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authorjoseph <joseph@7b3dc134-2b1b-0410-93df-9e9f96275f8d>2011-10-25 00:37:10 +0000
committerjoseph <joseph@7b3dc134-2b1b-0410-93df-9e9f96275f8d>2011-10-25 00:37:10 +0000
commit4bbe4e2185c5484328182720ff7b3bb4f9593bff (patch)
treecd67e40a74928c0f58d4f5b79d2e260e4099fee7 /libc/sysdeps/ieee754/dbl-64/e_atan2.c
parent91b4be71461f78cabe1fb5f164cea71b60e9e98a (diff)
downloadeglibc2-4bbe4e2185c5484328182720ff7b3bb4f9593bff.tar.gz
Merge changes between r15223 and r15532 from /fsf/trunk.
git-svn-id: svn://svn.eglibc.org/trunk@15545 7b3dc134-2b1b-0410-93df-9e9f96275f8d
Diffstat (limited to 'libc/sysdeps/ieee754/dbl-64/e_atan2.c')
-rw-r--r--libc/sysdeps/ieee754/dbl-64/e_atan2.c383
1 files changed, 194 insertions, 189 deletions
diff --git a/libc/sysdeps/ieee754/dbl-64/e_atan2.c b/libc/sysdeps/ieee754/dbl-64/e_atan2.c
index 9e1a794ec..f8f678bc5 100644
--- a/libc/sysdeps/ieee754/dbl-64/e_atan2.c
+++ b/libc/sysdeps/ieee754/dbl-64/e_atan2.c
@@ -1,7 +1,7 @@
/*
* IBM Accurate Mathematical Library
* written by International Business Machines Corp.
- * Copyright (C) 2001 Free Software Foundation
+ * Copyright (C) 2001, 2011 Free Software Foundation
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
@@ -37,7 +37,7 @@
/* */
/************************************************************************/
-#include "dla.h"
+#include <dla.h>
#include "mpa.h"
#include "MathLib.h"
#include "uatan.tbl"
@@ -62,8 +62,11 @@ double __ieee754_atan2(double y,double x) {
int p;
#endif
static const int pr[MM]={6,8,10,20,32};
- double ax,ay,u,du,u9,ua,v,vv,dv,t1,t2,t3,t4,t5,t6,t7,t8,
- z,zz,cor,s1,ss1,s2,ss2;
+ double ax,ay,u,du,u9,ua,v,vv,dv,t1,t2,t3,t7,t8,
+ z,zz,cor,s1,ss1,s2,ss2;
+#ifndef DLA_FMA
+ double t4,t5,t6;
+#endif
#if 0
double z1,z2;
#endif
@@ -73,7 +76,7 @@ double __ieee754_atan2(double y,double x) {
#endif
static const int ep= 59768832, /* 57*16**5 */
- em=-59768832; /* -57*16**5 */
+ em=-59768832; /* -57*16**5 */
/* x=NaN or y=NaN */
num.d = x; ux = num.i[HIGH_HALF]; dx = num.i[LOW_HALF];
@@ -102,23 +105,23 @@ double __ieee754_atan2(double y,double x) {
if (ux==0x7ff00000) {
if (dx==0x00000000) {
if (uy==0x7ff00000) {
- if (dy==0x00000000) return qpi.d; }
+ if (dy==0x00000000) return qpi.d; }
else if (uy==0xfff00000) {
- if (dy==0x00000000) return mqpi.d; }
+ if (dy==0x00000000) return mqpi.d; }
else {
- if ((uy&0x80000000)==0x00000000) return ZERO;
- else return MZERO; }
+ if ((uy&0x80000000)==0x00000000) return ZERO;
+ else return MZERO; }
}
}
else if (ux==0xfff00000) {
if (dx==0x00000000) {
if (uy==0x7ff00000) {
- if (dy==0x00000000) return tqpi.d; }
+ if (dy==0x00000000) return tqpi.d; }
else if (uy==0xfff00000) {
- if (dy==0x00000000) return mtqpi.d; }
+ if (dy==0x00000000) return mtqpi.d; }
else {
- if ((uy&0x80000000)==0x00000000) return opi.d;
- else return mopi.d; }
+ if ((uy&0x80000000)==0x00000000) return opi.d;
+ else return mopi.d; }
}
}
@@ -156,108 +159,108 @@ double __ieee754_atan2(double y,double x) {
/* (i) x>0, abs(y)< abs(x): atan(ay/ax) */
if (ay<ax) {
if (u<inv16.d) {
- v=u*u; zz=du+u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
- if ((z=u+(zz-u1.d*u)) == u+(zz+u1.d*u)) return signArctan2(y,z);
+ v=u*u; zz=du+u*v*(d3.d+v*(d5.d+v*(d7.d+v*(d9.d+v*(d11.d+v*d13.d)))));
+ if ((z=u+(zz-u1.d*u)) == u+(zz+u1.d*u)) 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)
- if ((z=s1+(ss1-u5.d*s1)) == s1+(ss1+u5.d*s1)) return signArctan2(y,z);
- return atan2Mp(x,y,pr);
+ 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)
+ if ((z=s1+(ss1-u5.d*s1)) == s1+(ss1+u5.d*s1)) return signArctan2(y,z);
+ return atan2Mp(x,y,pr);
}
else {
- 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);
+ 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);
+ 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) */
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(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);
+ 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);
+ 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);
}
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);
+ 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);
+ 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);
}
}
}
@@ -266,112 +269,114 @@ double __ieee754_atan2(double y,double x) {
/* (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);
+ 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)
- 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);
+ 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);
+ 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);
+ 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) */
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);
+ 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);
+ 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);
+ 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);
+ 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);
}
}
}
}
+strong_alias (__ieee754_atan2, __atan2_finite)
+
/* Treat the Denormalized case */
static double normalized(double ax,double ay,double y, double z)
{ int p;