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authorVineet Gupta <vgupta@synopsys.com>2019-11-08 11:32:00 -0800
committerVineet Gupta <vgupta@synopsys.com>2020-06-15 13:09:21 -0700
commite93c2643362c1b9f47952c126ae1bcac5ad20d0d (patch)
tree082c8857a0a871f97eb7c10dad6da0467641452c
parent27bf5e95061d05b780c629270003da2d9a1a2f52 (diff)
downloadglibc-e93c2643362c1b9f47952c126ae1bcac5ad20d0d.tar.xz
glibc-e93c2643362c1b9f47952c126ae1bcac5ad20d0d.zip
ieee754/dbl-64: Reduce the scope of temporary storage variables
This came to light when adding hard-flaot support to ARC glibc port without hardware sqrt support causing glibc build to fail: | ../sysdeps/ieee754/dbl-64/e_sqrt.c: In function '__ieee754_sqrt': | ../sysdeps/ieee754/dbl-64/e_sqrt.c:58:54: error: unused variable 'ty' [-Werror=unused-variable] | double y, t, del, res, res1, hy, z, zz, p, hx, tx, ty, s; The reason being EMULV() macro uses the hardware provided __builtin_fma() variant, leaving temporary variables 'p, hx, tx, hy, ty' unused hence compiler warning and ensuing error. The intent of the patch was to fix that error, but EMULV is pervasive and used fair bit indirectly via othe rmacros, hence this patch. Functionally it should not result in code gen changes and if at all those would be better since the scope of those temporaries is greatly reduced now Built tested with aarch64-linux-gnu arm-linux-gnueabi arm-linux-gnueabihf hppa-linux-gnu x86_64-linux-gnu arm-linux-gnueabihf riscv64-linux-gnu-rv64imac-lp64 riscv64-linux-gnu-rv64imafdc-lp64 powerpc-linux-gnu microblaze-linux-gnu nios2-linux-gnu hppa-linux-gnu Also as suggested by Joseph [1] used --strip and compared the libs with and w/o patch and they are byte-for-byte unchanged (with gcc 9). | for i in `find . -name libm-2.31.9000.so`; | do | echo $i; diff $i /SCRATCH/vgupta/gnu2/install/glibcs/$i ; echo $?; | done | ./aarch64-linux-gnu/lib64/libm-2.31.9000.so | 0 | ./arm-linux-gnueabi/lib/libm-2.31.9000.so | 0 | ./x86_64-linux-gnu/lib64/libm-2.31.9000.so | 0 | ./arm-linux-gnueabihf/lib/libm-2.31.9000.so | 0 | ./riscv64-linux-gnu-rv64imac-lp64/lib64/lp64/libm-2.31.9000.so | 0 | ./riscv64-linux-gnu-rv64imafdc-lp64/lib64/lp64/libm-2.31.9000.so | 0 | ./powerpc-linux-gnu/lib/libm-2.31.9000.so | 0 | ./microblaze-linux-gnu/lib/libm-2.31.9000.so | 0 | ./nios2-linux-gnu/lib/libm-2.31.9000.so | 0 | ./hppa-linux-gnu/lib/libm-2.31.9000.so | 0 | ./s390x-linux-gnu/lib64/libm-2.31.9000.so [1] https://sourceware.org/pipermail/libc-alpha/2019-November/108267.html
-rw-r--r--sysdeps/ieee754/dbl-64/dla.h34
-rw-r--r--sysdeps/ieee754/dbl-64/doasin.c15
-rw-r--r--sysdeps/ieee754/dbl-64/dosincos.c70
-rw-r--r--sysdeps/ieee754/dbl-64/e_atan2.c89
-rw-r--r--sysdeps/ieee754/dbl-64/e_sqrt.c4
-rw-r--r--sysdeps/ieee754/dbl-64/s_atan.c56
-rw-r--r--sysdeps/ieee754/dbl-64/s_tan.c148
7 files changed, 193 insertions, 223 deletions
diff --git a/sysdeps/ieee754/dbl-64/dla.h b/sysdeps/ieee754/dbl-64/dla.h
index 1bbad16cf3..fd586644ef 100644
--- a/sysdeps/ieee754/dbl-64/dla.h
+++ b/sysdeps/ieee754/dbl-64/dla.h
@@ -67,13 +67,15 @@
/* storage variables of type double. */
#ifdef DLA_FMS
-# define EMULV(x, y, z, zz, p, hx, tx, hy, ty) \
+# define EMULV(x, y, z, zz) \
z = x * y; zz = DLA_FMS (x, y, z);
#else
-# define EMULV(x, y, z, zz, p, hx, tx, hy, ty) \
- p = CN * (x); hx = ((x) - p) + p; tx = (x) - hx; \
- p = CN * (y); hy = ((y) - p) + p; ty = (y) - hy; \
- z = (x) * (y); zz = (((hx * hy - z) + hx * ty) + tx * hy) + tx * ty;
+# define EMULV(x, y, z, zz) \
+ ({ __typeof__ (x) __p, hx, tx, hy, ty; \
+ __p = CN * (x); hx = ((x) - __p) + __p; tx = (x) - hx; \
+ __p = CN * (y); hy = ((y) - __p) + __p; ty = (y) - hy; \
+ z = (x) * (y); zz = (((hx * hy - z) + hx * ty) + tx * hy) + tx * ty; \
+ })
#endif
@@ -83,13 +85,15 @@
/* storage variables of type double. */
#ifdef DLA_FMS
-# define MUL12(x,y,z,zz,p,hx,tx,hy,ty,q) \
- EMULV(x,y,z,zz,p,hx,tx,hy,ty)
+# define MUL12(x, y, z, zz) \
+ EMULV(x, y, z, zz)
#else
-# define MUL12(x,y,z,zz,p,hx,tx,hy,ty,q) \
- p=CN*(x); hx=((x)-p)+p; tx=(x)-hx; \
- p=CN*(y); hy=((y)-p)+p; ty=(y)-hy; \
- p=hx*hy; q=hx*ty+tx*hy; z=p+q; zz=((p-z)+q)+tx*ty;
+# define MUL12(x, y, z, zz) \
+ ({ __typeof__ (x) __p, hx, tx, hy, ty, __q; \
+ __p=CN*(x); hx=((x)-__p)+__p; tx=(x)-hx; \
+ __p=CN*(y); hy=((y)-__p)+__p; ty=(y)-hy; \
+ __p=hx*hy; __q=hx*ty+tx*hy; z=__p+__q; zz=((__p-z)+__q)+tx*ty; \
+ })
#endif
@@ -125,8 +129,8 @@
/* are assumed to be double-length numbers. p,hx,tx,hy,ty,q,c,cc are */
/* temporary storage variables of type double. */
-#define MUL2(x, xx, y, yy, z, zz, p, hx, tx, hy, ty, q, c, cc) \
- MUL12 (x, y, c, cc, p, hx, tx, hy, ty, q) \
+#define MUL2(x, xx, y, yy, z, zz, c, cc) \
+ MUL12 (x, y, c, cc); \
cc = ((x) * (yy) + (xx) * (y)) + cc; z = c + cc; zz = (c - z) + cc;
@@ -136,8 +140,8 @@
/* are assumed to be double-length numbers. p,hx,tx,hy,ty,q,c,cc,u,uu */
/* are temporary storage variables of type double. */
-#define DIV2(x,xx,y,yy,z,zz,p,hx,tx,hy,ty,q,c,cc,u,uu) \
- c=(x)/(y); MUL12(c,y,u,uu,p,hx,tx,hy,ty,q) \
+#define DIV2(x, xx, y, yy, z, zz, c, cc, u, uu) \
+ c=(x)/(y); MUL12(c,y,u,uu); \
cc=(((((x)-u)-uu)+(xx))-c*(yy))/(y); z=c+cc; zz=(c-z)+cc;
diff --git a/sysdeps/ieee754/dbl-64/doasin.c b/sysdeps/ieee754/dbl-64/doasin.c
index 93cc9c3542..f7e2f45566 100644
--- a/sysdeps/ieee754/dbl-64/doasin.c
+++ b/sysdeps/ieee754/dbl-64/doasin.c
@@ -58,9 +58,6 @@ __doasin(double x, double dx, double v[]) {
double xx,p,pp,u,uu,r,s;
double tc,tcc;
-#ifndef DLA_FMS
- double hx,tx,hy,ty,tp,tq;
-#endif
/* Taylor series for arcsin for Double-Length numbers */
@@ -68,16 +65,16 @@ __doasin(double x, double dx, double v[]) {
p = ((((((d11*xx+d10)*xx+d9)*xx+d8)*xx+d7)*xx+d6)*xx+d5)*xx;
pp = 0;
- MUL2(x,dx,x,dx,u,uu,tp,hx,tx,hy,ty,tq,tc,tcc);
+ MUL2(x,dx,x,dx,u,uu,tc,tcc);
ADD2(p,pp,c4.x,cc4.x,p,pp,r,s);
- MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
+ MUL2(p,pp,u,uu,p,pp,tc,tcc);
ADD2(p,pp,c3.x,cc3.x,p,pp,r,s);
- MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
+ MUL2(p,pp,u,uu,p,pp,tc,tcc);
ADD2(p,pp,c2.x,cc2.x,p,pp,r,s);
- MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
+ MUL2(p,pp,u,uu,p,pp,tc,tcc);
ADD2(p,pp,c1.x,cc1.x,p,pp,r,s);
- MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
- MUL2(p,pp,x,dx,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
+ MUL2(p,pp,u,uu,p,pp,tc,tcc);
+ MUL2(p,pp,x,dx,p,pp,tc,tcc);
ADD2(p,pp,x,dx,p,pp,r,s);
v[0]=p;
v[1]=pp; /* arcsin(x+dx)=v[0]+v[1] */
diff --git a/sysdeps/ieee754/dbl-64/dosincos.c b/sysdeps/ieee754/dbl-64/dosincos.c
index ed8510ca70..51b2938650 100644
--- a/sysdeps/ieee754/dbl-64/dosincos.c
+++ b/sysdeps/ieee754/dbl-64/dosincos.c
@@ -61,9 +61,6 @@ __dubsin (double x, double dx, double v[])
{
double r, s, c, cc, d, dd, d2, dd2, e, ee,
sn, ssn, cs, ccs, ds, dss, dc, dcc;
-#ifndef DLA_FMS
- double p, hx, tx, hy, ty, q;
-#endif
mynumber u;
int4 k;
@@ -73,31 +70,31 @@ __dubsin (double x, double dx, double v[])
d = x + dx;
dd = (x - d) + dx;
/* sin(x+dx)=sin(Xi+t)=sin(Xi)*cos(t) + cos(Xi)sin(t) where t ->0 */
- MUL2 (d, dd, d, dd, d2, dd2, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d, dd, d, dd, d2, dd2, c, cc);
sn = __sincostab.x[k]; /* */
ssn = __sincostab.x[k + 1]; /* sin(Xi) and cos(Xi) */
cs = __sincostab.x[k + 2]; /* */
ccs = __sincostab.x[k + 3]; /* */
/* Taylor series for sin ds=sin(t) */
- MUL2 (d2, dd2, s7.x, ss7.x, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, s7.x, ss7.x, ds, dss, c, cc);
ADD2 (ds, dss, s5.x, ss5.x, ds, dss, r, s);
- MUL2 (d2, dd2, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, ds, dss, ds, dss, c, cc);
ADD2 (ds, dss, s3.x, ss3.x, ds, dss, r, s);
- MUL2 (d2, dd2, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
- MUL2 (d, dd, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, ds, dss, ds, dss, c, cc);
+ MUL2 (d, dd, ds, dss, ds, dss, c, cc);
ADD2 (ds, dss, d, dd, ds, dss, r, s);
/* Taylor series for cos dc=cos(t) */
- MUL2 (d2, dd2, c8.x, cc8.x, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, c8.x, cc8.x, dc, dcc, c, cc);
ADD2 (dc, dcc, c6.x, cc6.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
ADD2 (dc, dcc, c4.x, cc4.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
ADD2 (dc, dcc, c2.x, cc2.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
- MUL2 (cs, ccs, ds, dss, e, ee, p, hx, tx, hy, ty, q, c, cc);
- MUL2 (dc, dcc, sn, ssn, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (cs, ccs, ds, dss, e, ee, c, cc);
+ MUL2 (dc, dcc, sn, ssn, dc, dcc, c, cc);
SUB2 (e, ee, dc, dcc, e, ee, r, s);
ADD2 (e, ee, sn, ssn, e, ee, r, s); /* e+ee=sin(x+dx) */
@@ -117,9 +114,6 @@ __dubcos (double x, double dx, double v[])
{
double r, s, c, cc, d, dd, d2, dd2, e, ee,
sn, ssn, cs, ccs, ds, dss, dc, dcc;
-#ifndef DLA_FMS
- double p, hx, tx, hy, ty, q;
-#endif
mynumber u;
int4 k;
u.x = x + big.x;
@@ -127,46 +121,46 @@ __dubcos (double x, double dx, double v[])
x = x - (u.x - big.x);
d = x + dx;
dd = (x - d) + dx; /* cos(x+dx)=cos(Xi+t)=cos(Xi)cos(t) - sin(Xi)sin(t) */
- MUL2 (d, dd, d, dd, d2, dd2, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d, dd, d, dd, d2, dd2, c, cc);
sn = __sincostab.x[k]; /* */
ssn = __sincostab.x[k + 1]; /* sin(Xi) and cos(Xi) */
cs = __sincostab.x[k + 2]; /* */
ccs = __sincostab.x[k + 3]; /* */
- MUL2 (d2, dd2, s7.x, ss7.x, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, s7.x, ss7.x, ds, dss, c, cc);
ADD2 (ds, dss, s5.x, ss5.x, ds, dss, r, s);
- MUL2 (d2, dd2, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, ds, dss, ds, dss, c, cc);
ADD2 (ds, dss, s3.x, ss3.x, ds, dss, r, s);
- MUL2 (d2, dd2, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
- MUL2 (d, dd, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, ds, dss, ds, dss, c, cc);
+ MUL2 (d, dd, ds, dss, ds, dss, c, cc);
ADD2 (ds, dss, d, dd, ds, dss, r, s);
- MUL2 (d2, dd2, c8.x, cc8.x, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, c8.x, cc8.x, dc, dcc, c, cc);
ADD2 (dc, dcc, c6.x, cc6.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
ADD2 (dc, dcc, c4.x, cc4.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
ADD2 (dc, dcc, c2.x, cc2.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
- MUL2 (cs, ccs, ds, dss, e, ee, p, hx, tx, hy, ty, q, c, cc);
- MUL2 (dc, dcc, sn, ssn, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (cs, ccs, ds, dss, e, ee, c, cc);
+ MUL2 (dc, dcc, sn, ssn, dc, dcc, c, cc);
- MUL2 (d2, dd2, s7.x, ss7.x, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, s7.x, ss7.x, ds, dss, c, cc);
ADD2 (ds, dss, s5.x, ss5.x, ds, dss, r, s);
- MUL2 (d2, dd2, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, ds, dss, ds, dss, c, cc);
ADD2 (ds, dss, s3.x, ss3.x, ds, dss, r, s);
- MUL2 (d2, dd2, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
- MUL2 (d, dd, ds, dss, ds, dss, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, ds, dss, ds, dss, c, cc);
+ MUL2 (d, dd, ds, dss, ds, dss, c, cc);
ADD2 (ds, dss, d, dd, ds, dss, r, s);
- MUL2 (d2, dd2, c8.x, cc8.x, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, c8.x, cc8.x, dc, dcc, c, cc);
ADD2 (dc, dcc, c6.x, cc6.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
ADD2 (dc, dcc, c4.x, cc4.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
ADD2 (dc, dcc, c2.x, cc2.x, dc, dcc, r, s);
- MUL2 (d2, dd2, dc, dcc, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
- MUL2 (sn, ssn, ds, dss, e, ee, p, hx, tx, hy, ty, q, c, cc);
- MUL2 (dc, dcc, cs, ccs, dc, dcc, p, hx, tx, hy, ty, q, c, cc);
+ MUL2 (d2, dd2, dc, dcc, dc, dcc, c, cc);
+ MUL2 (sn, ssn, ds, dss, e, ee, c, cc);
+ MUL2 (dc, dcc, cs, ccs, dc, dcc, c, cc);
ADD2 (e, ee, dc, dcc, e, ee, r, s);
SUB2 (cs, ccs, e, ee, e, ee, r, s);
diff --git a/sysdeps/ieee754/dbl-64/e_atan2.c b/sysdeps/ieee754/dbl-64/e_atan2.c
index 0a7a07aa3d..380d34368d 100644
--- a/sysdeps/ieee754/dbl-64/e_atan2.c
+++ b/sysdeps/ieee754/dbl-64/e_atan2.c
@@ -77,11 +77,8 @@ __ieee754_atan2 (double y, double x)
{
int i, de, ux, dx, uy, dy;
static const int pr[MM] = { 6, 8, 10, 20, 32 };
- double ax, ay, u, du, u9, ua, v, vv, dv, t1, t2, t3, t7, t8,
+ double ax, ay, u, du, u9, ua, v, vv, dv, t1, t2, t3,
z, zz, cor, s1, ss1, s2, ss2;
-#ifndef DLA_FMS
- double t4, t5, t6;
-#endif
number num;
static const int ep = 59768832, /* 57*16**5 */
@@ -246,13 +243,13 @@ __ieee754_atan2 (double y, double x)
if (ay < ax)
{
u = ay / ax;
- EMULV (ax, u, v, vv, t1, t2, t3, t4, t5);
+ EMULV (ax, u, v, vv);
du = ((ay - v) - vv) / ax;
}
else
{
u = ax / ay;
- EMULV (ay, u, v, vv, t1, t2, t3, t4, t5);
+ EMULV (ay, u, v, vv);
du = ((ax - v) - vv) / ay;
}
@@ -275,18 +272,18 @@ __ieee754_atan2 (double y, double x)
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);
+ MUL2 (u, du, u, du, v, vv, t1, t2);
s1 = v * (f11.d + v * (f13.d
+ v * (f15.d + v * (f17.d + v * f19.d))));
ADD2 (f9.d, ff9.d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
+ MUL2 (u, du, s1, ss1, s2, ss2, t1, t2);
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
if ((z = s1 + (ss1 - u5.d * s1)) == s1 + (ss1 + u5.d * s1))
@@ -331,13 +328,13 @@ __ieee754_atan2 (double y, double x)
+ v * (hij[i][14].d
+ v * hij[i][15].d))));
ADD2 (hij[i][9].d, hij[i][10].d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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))
@@ -360,19 +357,19 @@ __ieee754_atan2 (double y, double x)
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);
+ MUL2 (u, du, u, du, v, vv, t1, t2);
s1 = v * (f11.d
+ v * (f13.d
+ v * (f15.d + v * (f17.d + v * f19.d))));
ADD2 (f9.d, ff9.d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
+ MUL2 (u, du, s1, ss1, s2, ss2, t1, t2);
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
SUB2 (hpi.d, hpi1.d, s1, ss1, s2, ss2, t1, t2);
@@ -408,13 +405,13 @@ __ieee754_atan2 (double y, double x)
+ v * hij[i][15].d))));
ADD2 (hij[i][9].d, hij[i][10].d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
@@ -439,18 +436,18 @@ __ieee754_atan2 (double y, double x)
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);
+ MUL2 (u, du, u, du, v, vv, t1, t2);
s1 = v * (f11.d
+ v * (f13.d + v * (f15.d + v * (f17.d + v * f19.d))));
ADD2 (f9.d, ff9.d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
+ MUL2 (u, du, s1, ss1, s2, ss2, t1, t2);
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
ADD2 (hpi.d, hpi1.d, s1, ss1, s2, ss2, t1, t2);
@@ -483,13 +480,13 @@ __ieee754_atan2 (double y, double x)
+ v * (hij[i][14].d
+ v * hij[i][15].d))));
ADD2 (hij[i][9].d, hij[i][10].d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
@@ -511,17 +508,17 @@ __ieee754_atan2 (double y, double x)
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);
+ MUL2 (u, du, u, du, v, vv, t1, t2);
s1 = v * (f11.d + v * (f13.d + v * (f15.d + v * (f17.d + v * f19.d))));
ADD2 (f9.d, ff9.d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
+ MUL2 (u, du, s1, ss1, s2, ss2, t1, t2);
ADD2 (u, du, s2, ss2, s1, ss1, t1, t2);
SUB2 (opi.d, opi1.d, s1, ss1, s2, ss2, t1, t2);
@@ -555,13 +552,13 @@ __ieee754_atan2 (double y, double x)
+ v * (hij[i][14].d + v * hij[i][15].d))));
ADD2 (hij[i][9].d, hij[i][10].d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
diff --git a/sysdeps/ieee754/dbl-64/e_sqrt.c b/sysdeps/ieee754/dbl-64/e_sqrt.c
index 518a8ae5cd..c183d39938 100644
--- a/sysdeps/ieee754/dbl-64/e_sqrt.c
+++ b/sysdeps/ieee754/dbl-64/e_sqrt.c
@@ -61,7 +61,7 @@ __ieee754_sqrt (double x)
rt2 = 3.75017500867345182581453026130850E-01,
rt3 = 3.12523626554518656309172508769531E-01;
static const double big = 134217728.0;
- double y, t, del, res, res1, hy, z, zz, p, hx, tx, ty, s;
+ double y, t, del, res, res1, hy, z, zz, s;
mynumber a, c = { { 0, 0 } };
int4 k;
@@ -89,7 +89,7 @@ __ieee754_sqrt (double x)
else
{
res1 = res + 1.5 * ((y - res) + del);
- EMULV (res, res1, z, zz, p, hx, tx, hy, ty); /* (z+zz)=res*res1 */
+ EMULV (res, res1, z, zz); /* (z+zz)=res*res1 */
res = ((((z - s) + zz) < 0) ? max (res, res1) :
min (res, res1));
ret = res * c.x;
diff --git a/sysdeps/ieee754/dbl-64/s_atan.c b/sysdeps/ieee754/dbl-64/s_atan.c
index 52abd152b6..30b0906826 100644
--- a/sysdeps/ieee754/dbl-64/s_atan.c
+++ b/sysdeps/ieee754/dbl-64/s_atan.c
@@ -65,11 +65,8 @@ __signArctan (double x, double y)
double
__atan (double x)
{
- double cor, s1, ss1, s2, ss2, t1, t2, t3, t7, t8, t9, t10, u, u2, u3,
+ double cor, s1, ss1, s2, ss2, t1, t2, t3, t4, u, u2, u3,
v, vv, w, ww, y, yy, z, zz;
-#ifndef DLA_FMS
- double t4, t5, t6;
-#endif
int i, ux, dx;
static const int pr[M] = { 6, 8, 10, 32 };
number num;
@@ -108,7 +105,7 @@ __atan (double x)
if ((y = x + (yy - U1 * x)) == x + (yy + U1 * x))
return y;
- EMULV (x, x, v, vv, t1, t2, t3, t4, t5); /* v+vv=x^2 */
+ EMULV (x, x, v, vv); /* v+vv=x^2 */
s1 = f17.d + v * f19.d;
s1 = f15.d + v * s1;
@@ -117,15 +114,14 @@ __atan (double x)
s1 *= v;
ADD2 (f9.d, ff9.d, s1, 0, s2, ss2, t1, t2);
- MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2, t3, t4, t5, t6, t7, t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
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 (x, 0, s1, ss1, s2, ss2, t1, t2, t3, t4, t5, t6, t7,
- t8);
+ MUL2 (v, vv, s2, ss2, s1, ss1, t1, t2);
+ MUL2 (x, 0, s1, ss1, s2, ss2, t1, t2);
ADD2 (x, 0, s2, ss2, s1, ss1, t1, t2);
if ((y = s1 + (ss1 - U5 * s1)) == s1 + (ss1 + U5 * s1))
return y;
@@ -1