diff options
Diffstat (limited to 'sysdeps/ieee754/dbl-64')
| -rw-r--r-- | sysdeps/ieee754/dbl-64/s_sin.c | 109 | ||||
| -rw-r--r-- | sysdeps/ieee754/dbl-64/s_tan.c | 117 |
2 files changed, 143 insertions, 83 deletions
diff --git a/sysdeps/ieee754/dbl-64/s_sin.c b/sysdeps/ieee754/dbl-64/s_sin.c index 5b79854004..32ba66d1a0 100644 --- a/sysdeps/ieee754/dbl-64/s_sin.c +++ b/sysdeps/ieee754/dbl-64/s_sin.c @@ -53,6 +53,7 @@ #include "usncs.h" #include "MathLib.h" #include "math_private.h" +#include <fenv.h> #ifndef SECTION # define SECTION @@ -107,12 +108,16 @@ __sin(double x){ #if 0 int4 nn; #endif + fenv_t env; + double retval = 0; + + libc_feholdexcept_setround (&env, FE_TONEAREST); u.x = x; m = u.i[HIGH_HALF]; k = 0x7fffffff&m; /* no sign */ if (k < 0x3e500000) /* if x->0 =>sin(x)=x */ - return x; + { retval = x; goto ret; } /*---------------------------- 2^-26 < |x|< 0.25 ----------------------*/ else if (k < 0x3fd00000){ xx = x*x; @@ -120,7 +125,8 @@ __sin(double x){ t = ((((s5.x*xx + s4.x)*xx + s3.x)*xx + s2.x)*xx + s1.x)*(xx*x); res = x+t; cor = (x-res)+t; - return (res == res + 1.07*cor)? res : slow(x); + retval = (res == res + 1.07*cor)? res : slow(x); + goto ret; } /* else if (k < 0x3fd00000) */ /*---------------------------- 0.25<|x|< 0.855469---------------------- */ else if (k < 0x3feb6000) { @@ -137,7 +143,8 @@ __sin(double x){ cor=(ssn+s*ccs-sn*c)+cs*s; res=sn+cor; cor=(sn-res)+cor; - return (res==res+1.096*cor)? res : slow1(x); + retval = (res==res+1.096*cor)? res : slow1(x); + goto ret; } /* else if (k < 0x3feb6000) */ /*----------------------- 0.855469 <|x|<2.426265 ----------------------*/ @@ -163,7 +170,8 @@ __sin(double x){ cor=(ccs-s*ssn-cs*c)-sn*s; res=cs+cor; cor=(cs-res)+cor; - return (res==res+1.020*cor)? ((m>0)?res:-res) : slow2(x); + retval = (res==res+1.020*cor)? ((m>0)?res:-res) : slow2(x); + goto ret; } /* else if (k < 0x400368fd) */ /*-------------------------- 2.426265<|x|< 105414350 ----------------------*/ @@ -189,7 +197,8 @@ __sin(double x){ res = a+t; cor = (a-res)+t; cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; - return (res == res + cor)? res : sloww(a,da,x); + retval = (res == res + cor)? res : sloww(a,da,x); + goto ret; } else { if (a>0) @@ -210,7 +219,8 @@ __sin(double x){ res=sn+cor; cor=(sn-res)+cor; cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; - return (res==res+cor)? ((m)?res:-res) : sloww1(a,da,x); + retval = (res==res+cor)? ((m)?res:-res) : sloww1(a,da,x); + goto ret; } break; @@ -232,7 +242,8 @@ __sin(double x){ res=cs+cor; cor=(cs-res)+cor; cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; - return (res==res+cor)? ((n&2)?-res:res) : sloww2(a,da,x,n); + retval = (res==res+cor)? ((n&2)?-res:res) : sloww2(a,da,x,n); + goto ret; break; @@ -268,7 +279,8 @@ __sin(double x){ res = a+t; cor = (a-res)+t; cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; - return (res == res + cor)? res : bsloww(a,da,x,n); + retval = (res == res + cor)? res : bsloww(a,da,x,n); + goto ret; } else { if (a>0) {m=1;t=a;db=da;} @@ -287,7 +299,8 @@ __sin(double x){ res=sn+cor; cor=(sn-res)+cor; cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; - return (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); + retval = (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); + goto ret; } break; @@ -309,7 +322,8 @@ __sin(double x){ res=cs+cor; cor=(cs-res)+cor; cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; - return (res==res+cor)? ((n&2)?-res:res) : bsloww2(a,da,x,n); + retval = (res==res+cor)? ((n&2)?-res:res) : bsloww2(a,da,x,n); + goto ret; break; @@ -323,17 +337,20 @@ __sin(double x){ n = __branred(x,&a,&da); switch (n) { case 0: - if (a*a < 0.01588) return bsloww(a,da,x,n); - else return bsloww1(a,da,x,n); + if (a*a < 0.01588) retval = bsloww(a,da,x,n); + else retval = bsloww1(a,da,x,n); + goto ret; break; case 2: - if (a*a < 0.01588) return bsloww(-a,-da,x,n); - else return bsloww1(-a,-da,x,n); + if (a*a < 0.01588) retval = bsloww(-a,-da,x,n); + else retval = bsloww1(-a,-da,x,n); + goto ret; break; case 1: case 3: - return bsloww2(a,da,x,n); + retval = bsloww2(a,da,x,n); + goto ret; break; } @@ -343,9 +360,13 @@ __sin(double x){ else { if (k == 0x7ff00000 && u.i[LOW_HALF] == 0) __set_errno (EDOM); - return x / x; + retval = x / x; + goto ret; } - return 0; /* unreachable */ + + ret: + libc_feupdateenv (&env); + return retval; } @@ -362,11 +383,16 @@ __cos(double x) mynumber u,v; int4 k,m,n; + fenv_t env; + double retval = 0; + + libc_feholdexcept_setround (&env, FE_TONEAREST); + u.x = x; m = u.i[HIGH_HALF]; k = 0x7fffffff&m; - if (k < 0x3e400000 ) return 1.0; /* |x|<2^-27 => cos(x)=1 */ + if (k < 0x3e400000 ) { retval = 1.0; goto ret; } /* |x|<2^-27 => cos(x)=1 */ else if (k < 0x3feb6000 ) {/* 2^-27 < |x| < 0.855469 */ y=ABS(x); @@ -383,7 +409,8 @@ __cos(double x) cor=(ccs-s*ssn-cs*c)-sn*s; res=cs+cor; cor=(cs-res)+cor; - return (res==res+1.020*cor)? res : cslow2(x); + retval = (res==res+1.020*cor)? res : cslow2(x); + goto ret; } /* else if (k < 0x3feb6000) */ @@ -397,7 +424,8 @@ __cos(double x) res = a+t; cor = (a-res)+t; cor = (cor>0)? 1.02*cor+1.0e-31 : 1.02*cor -1.0e-31; - return (res == res + cor)? res : csloww(a,da,x); + retval = (res == res + cor)? res : csloww(a,da,x); + goto ret; } else { if (a>0) {m=1;t=a;db=da;} @@ -416,7 +444,8 @@ __cos(double x) res=sn+cor; cor=(sn-res)+cor; cor = (cor>0)? 1.035*cor+1.0e-31 : 1.035*cor-1.0e-31; - return (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); + retval = (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); + goto ret; } } /* else if (k < 0x400368fd) */ @@ -443,7 +472,8 @@ __cos(double x) res = a+t; cor = (a-res)+t; cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; - return (res == res + cor)? res : csloww(a,da,x); + retval = (res == res + cor)? res : csloww(a,da,x); + goto ret; } else { if (a>0) {m=1;t=a;db=da;} @@ -462,7 +492,8 @@ __cos(double x) res=sn+cor; cor=(sn-res)+cor; cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; - return (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); + retval = (res==res+cor)? ((m)?res:-res) : csloww1(a,da,x); + goto ret; } break; @@ -483,7 +514,8 @@ __cos(double x) res=cs+cor; cor=(cs-res)+cor; cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; - return (res==res+cor)? ((n)?-res:res) : csloww2(a,da,x,n); + retval = (res==res+cor)? ((n)?-res:res) : csloww2(a,da,x,n); + goto ret; break; @@ -518,7 +550,8 @@ __cos(double x) res = a+t; cor = (a-res)+t; cor = (cor>0)? 1.02*cor+eps : 1.02*cor -eps; - return (res == res + cor)? res : bsloww(a,da,x,n); + retval = (res == res + cor)? res : bsloww(a,da,x,n); + goto ret; } else { if (a>0) {m=1;t=a;db=da;} @@ -537,7 +570,8 @@ __cos(double x) res=sn+cor; cor=(sn-res)+cor; cor = (cor>0)? 1.035*cor+eps : 1.035*cor-eps; - return (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); + retval = (res==res+cor)? ((m)?res:-res) : bsloww1(a,da,x,n); + goto ret; } break; @@ -558,7 +592,8 @@ __cos(double x) res=cs+cor; cor=(cs-res)+cor; cor = (cor>0)? 1.025*cor+eps : 1.025*cor-eps; - return (res==res+cor)? ((n)?-res:res) : bsloww2(a,da,x,n); + retval = (res==res+cor)? ((n)?-res:res) : bsloww2(a,da,x,n); + goto ret; break; } @@ -570,17 +605,20 @@ __cos(double x) n = __branred(x,&a,&da); switch (n) { case 1: - if (a*a < 0.01588) return bsloww(-a,-da,x,n); - else return bsloww1(-a,-da,x,n); + if (a*a < 0.01588) retval = bsloww(-a,-da,x,n); + else retval = bsloww1(-a,-da,x,n); + goto ret; break; case 3: - if (a*a < 0.01588) return bsloww(a,da,x,n); - else return bsloww1(a,da,x,n); + if (a*a < 0.01588) retval = bsloww(a,da,x,n); + else retval = bsloww1(a,da,x,n); + goto ret; break; case 0: case 2: - return bsloww2(a,da,x,n); + retval = bsloww2(a,da,x,n); + goto ret; break; } @@ -592,10 +630,13 @@ __cos(double x) else { if (k == 0x7ff00000 && u.i[LOW_HALF] == 0) __set_errno (EDOM); - return x / x; /* |x| > 2^1024 */ + retval = x / x; /* |x| > 2^1024 */ + goto ret; } - return 0; + ret: + libc_feupdateenv (&env); + return retval; } /************************************************************************/ diff --git a/sysdeps/ieee754/dbl-64/s_tan.c b/sysdeps/ieee754/dbl-64/s_tan.c index 962a4eba6b..2c26756ff2 100644 --- a/sysdeps/ieee754/dbl-64/s_tan.c +++ b/sysdeps/ieee754/dbl-64/s_tan.c @@ -39,6 +39,8 @@ #include "mpa.h" #include "MathLib.h" #include "math.h" +#include "math_private.h" +#include <fenv.h> #ifndef SECTION # define SECTION @@ -66,21 +68,27 @@ tan(double x) { mp_no mpy; #endif + fenv_t env; + double retval; + int __branred(double, double *, double *); int __mpranred(double, mp_no *, int); + libc_feholdexcept_setround (&env, FE_TONEAREST); + /* x=+-INF, x=NaN */ num.d = x; ux = num.i[HIGH_HALF]; if ((ux&0x7ff00000)==0x7ff00000) { if ((ux&0x7fffffff)==0x7ff00000) __set_errno (EDOM); - return x-x; + retval = x-x; + goto ret; } w=(x<ZERO) ? -x : x; /* (I) The case abs(x) <= 1.259e-8 */ - if (w<=g1.d) return x; + if (w<=g1.d) { retval = x; goto ret; } /* (II) The case 1.259e-8 < abs(x) <= 0.0608 */ if (w<=g2.d) { @@ -88,7 +96,7 @@ tan(double x) { /* First stage */ x2 = x*x; t2 = x*x2*(d3.d+x2*(d5.d+x2*(d7.d+x2*(d9.d+x2*d11.d)))); - if ((y=x+(t2-u1.d*t2)) == x+(t2+u1.d*t2)) return y; + if ((y=x+(t2-u1.d*t2)) == x+(t2+u1.d*t2)) { retval = y; goto ret; } /* Second stage */ c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+ @@ -108,8 +116,9 @@ tan(double x) { MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) MUL2(x ,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) ADD2(x ,zero.d,c2,cc2,c1,cc1,t1,t2) - if ((y=c1+(cc1-u2.d*c1)) == c1+(cc1+u2.d*c1)) return y; - return tanMp(x); + if ((y=c1+(cc1-u2.d*c1)) == c1+(cc1+u2.d*c1)) { retval = y; goto ret; } + retval = tanMp(x); + goto ret; } /* (III) The case 0.0608 < abs(x) <= 0.787 */ @@ -120,10 +129,10 @@ tan(double x) { z = w-xfg[i][0].d; z2 = z*z; s = (x<ZERO) ? MONE : ONE; pz = z+z*z2*(e0.d+z2*e1.d); fi = xfg[i][1].d; gi = xfg[i][2].d; t2 = pz*(gi+fi)/(gi-pz); - if ((y=fi+(t2-fi*u3.d))==fi+(t2+fi*u3.d)) return (s*y); + if ((y=fi+(t2-fi*u3.d))==fi+(t2+fi*u3.d)) { retval = (s*y); goto ret; } t3 = (t2<ZERO) ? -t2 : t2; t4 = fi*ua3.d+t3*ub3.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (s*y); + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (s*y); goto ret; } /* Second stage */ ffi = xfg[i][3].d; @@ -141,8 +150,9 @@ tan(double x) { SUB2(one.d,zero.d,c3,cc3,c1,cc1,t1,t2) DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c3+(cc3-u4.d*c3))==c3+(cc3+u4.d*c3)) return (s*y); - return tanMp(x); + if ((y=c3+(cc3-u4.d*c3))==c3+(cc3+u4.d*c3)) { retval = (s*y); goto ret; } + retval = tanMp(x); + goto ret; } /* (---) The case 0.787 < abs(x) <= 25 */ @@ -160,7 +170,7 @@ tan(double x) { else {ya= a; yya= da; sy= ONE;} /* (IV),(V) The case 0.787 < abs(x) <= 25, abs(y) <= 1e-7 */ - if (ya<=gy1.d) return tanMp(x); + if (ya<=gy1.d) { retval = tanMp(x); goto ret; } /* (VI) The case 0.787 < abs(x) <= 25, 1e-7 < abs(y) <= 0.0608 */ if (ya<=gy2.d) { @@ -170,10 +180,10 @@ tan(double x) { /* First stage -cot */ EADD(a,t2,b,db) DIV2(one.d,zero.d,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c+(dc-u6.d*c))==c+(dc+u6.d*c)) return (-y); } + if ((y=c+(dc-u6.d*c))==c+(dc+u6.d*c)) { retval = (-y); goto ret; } } else { /* First stage tan */ - if ((y=a+(t2-u5.d*a))==a+(t2+u5.d*a)) return y; } + if ((y=a+(t2-u5.d*a))==a+(t2+u5.d*a)) { retval = y; goto ret; } } /* Second stage */ /* Range reduction by algorithm ii */ t = (x*hpinv.d + toint.d); @@ -211,11 +221,12 @@ tan(double x) { if (n) { /* Second stage -cot */ DIV2(one.d,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c2+(cc2-u8.d*c2)) == c2+(cc2+u8.d*c2)) return (-y); } + if ((y=c2+(cc2-u8.d*c2)) == c2+(cc2+u8.d*c2)) { retval = (-y); goto ret; } } else { /* Second stage tan */ - if ((y=c1+(cc1-u7.d*c1)) == c1+(cc1+u7.d*c1)) return y; } - return tanMp(x); + if ((y=c1+(cc1-u7.d*c1)) == c1+(cc1+u7.d*c1)) { retval = y; goto ret; } } + retval = tanMp(x); + goto ret; } /* (VII) The case 0.787 < abs(x) <= 25, 0.0608 < abs(y) <= 0.787 */ @@ -229,17 +240,17 @@ tan(double x) { if (n) { /* -cot */ t2 = pz*(fi+gi)/(fi+pz); - if ((y=gi-(t2-gi*u10.d))==gi-(t2+gi*u10.d)) return (-sy*y); + if ((y=gi-(t2-gi*u10.d))==gi-(t2+gi*u10.d)) { retval = (-sy*y); goto ret; } t3 = (t2<ZERO) ? -t2 : t2; t4 = gi*ua10.d+t3*ub10.d; - if ((y=gi-(t2-t4))==gi-(t2+t4)) return (-sy*y); } + if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } } else { /* tan */ t2 = pz*(gi+fi)/(gi-pz); - if ((y=fi+(t2-fi*u9.d))==fi+(t2+fi*u9.d)) return (sy*y); + if ((y=fi+(t2-fi*u9.d))==fi+(t2+fi*u9.d)) { retval = (sy*y); goto ret; } t3 = (t2<ZERO) ? -t2 : t2; t4 = fi*ua9.d+t3*ub9.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (sy*y); } + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } /* Second stage */ ffi = xfg[i][3].d; @@ -260,13 +271,14 @@ tan(double x) { if (n) { /* -cot */ DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c3+(cc3-u12.d*c3))==c3+(cc3+u12.d*c3)) return (-sy*y); } + if ((y=c3+(cc3-u12.d*c3))==c3+(cc3+u12.d*c3)) { retval = (-sy*y); goto ret; } } else { /* tan */ DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c3+(cc3-u11.d*c3))==c3+(cc3+u11.d*c3)) return (sy*y); } + if ((y=c3+(cc3-u11.d*c3))==c3+(cc3+u11.d*c3)) { retval = (sy*y); goto ret; } } - return tanMp(x); + retval = tanMp(x); + goto ret; } /* (---) The case 25 < abs(x) <= 1e8 */ @@ -288,7 +300,7 @@ tan(double x) { else {ya= a; yya= da; sy= ONE;} /* (+++) The case 25 < abs(x) <= 1e8, abs(y) <= 1e-7 */ - if (ya<=gy1.d) return tanMp(x); + if (ya<=gy1.d) { retval = tanMp(x); goto ret; } /* (VIII) The case 25 < abs(x) <= 1e8, 1e-7 < abs(y) <= 0.0608 */ if (ya<=gy2.d) { @@ -298,10 +310,10 @@ tan(double x) { /* First stage -cot */ EADD(a,t2,b,db) DIV2(one.d,zero.d,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c+(dc-u14.d*c))==c+(dc+u14.d*c)) return (-y); } + if ((y=c+(dc-u14.d*c))==c+(dc+u14.d*c)) { retval = (-y); goto ret; } } else { /* First stage tan */ - if ((y=a+(t2-u13.d*a))==a+(t2+u13.d*a)) return y; } + if ((y=a+(t2-u13.d*a))==a+(t2+u13.d*a)) { retval = y; goto ret; } } /* Second stage */ MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8) @@ -325,11 +337,12 @@ tan(double x) { if (n) { /* Second stage -cot */ DIV2(one.d,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c2+(cc2-u16.d*c2)) == c2+(cc2+u16.d*c2)) return (-y); } + if ((y=c2+(cc2-u16.d*c2)) == c2+(cc2+u16.d*c2)) { retval = (-y); goto ret; } } else { /* Second stage tan */ - if ((y=c1+(cc1-u15.d*c1)) == c1+(cc1+u15.d*c1)) return (y); } - return tanMp(x); + if ((y=c1+(cc1-u15.d*c1)) == c1+(cc1+u15.d*c1)) { retval = (y); goto ret; } } + retval = tanMp(x); + goto ret; } /* (IX) The case 25 < abs(x) <= 1e8, 0.0608 < abs(y) <= 0.787 */ @@ -342,17 +355,17 @@ tan(double x) { if (n) { /* -cot */ t2 = pz*(fi+gi)/(fi+pz); - if ((y=gi-(t2-gi*u18.d))==gi-(t2+gi*u18.d)) return (-sy*y); + if ((y=gi-(t2-gi*u18.d))==gi-(t2+gi*u18.d)) { retval = (-sy*y); goto ret; } t3 = (t2<ZERO) ? -t2 : t2; t4 = gi*ua18.d+t3*ub18.d; - if ((y=gi-(t2-t4))==gi-(t2+t4)) return (-sy*y); } + if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } } else { /* tan */ t2 = pz*(gi+fi)/(gi-pz); - if ((y=fi+(t2-fi*u17.d))==fi+(t2+fi*u17.d)) return (sy*y); + if ((y=fi+(t2-fi*u17.d))==fi+(t2+fi*u17.d)) { retval = (sy*y); goto ret; } t3 = (t2<ZERO) ? -t2 : t2; t4 = fi*ua17.d+t3*ub17.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (sy*y); } + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } /* Second stage */ ffi = xfg[i][3].d; @@ -373,12 +386,13 @@ tan(double x) { if (n) { /* -cot */ DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c3+(cc3-u20.d*c3))==c3+(cc3+u20.d*c3)) return (-sy*y); } + if ((y=c3+(cc3-u20.d*c3))==c3+(cc3+u20.d*c3)) { retval = (-sy*y); goto ret; } } else { /* tan */ DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c3+(cc3-u19.d*c3))==c3+(cc3+u19.d*c3)) return (sy*y); } - return tanMp(x); + if ((y=c3+(cc3-u19.d*c3))==c3+(cc3+u19.d*c3)) { retval = (sy*y); goto ret; } } + retval = tanMp(x); + goto ret; } /* (---) The case 1e8 < abs(x) < 2**1024 */ @@ -389,7 +403,7 @@ tan(double x) { else {ya= a; yya= da; sy= ONE;} /* (+++) The case 1e8 < abs(x) < 2**1024, abs(y) <= 1e-7 */ - if (ya<=gy1.d) return tanMp(x); + if (ya<=gy1.d) { retval = tanMp(x); goto ret; } /* (X) The case 1e8 < abs(x) < 2**1024, 1e-7 < abs(y) <= 0.0608 */ if (ya<=gy2.d) { @@ -399,10 +413,10 @@ tan(double x) { /* First stage -cot */ EADD(a,t2,b,db) DIV2(one.d,zero.d,b,db,c,dc,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c+(dc-u22.d*c))==c+(dc+u22.d*c)) return (-y); } + if ((y=c+(dc-u22.d*c))==c+(dc+u22.d*c)) { retval = (-y); goto ret; } } else { /* First stage tan */ - if ((y=a+(t2-u21.d*a))==a+(t2+u21.d*a)) return y; } + if ((y=a+(t2-u21.d*a))==a+(t2+u21.d*a)) { retval = y; goto ret; } } /* Second stage */ /* Reduction by algorithm iv */ @@ -431,11 +445,12 @@ tan(double x) { if (n) { /* Second stage -cot */ DIV2(one.d,zero.d,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c2+(cc2-u24.d*c2)) == c2+(cc2+u24.d*c2)) return (-y); } + if ((y=c2+(cc2-u24.d*c2)) == c2+(cc2+u24.d*c2)) { retval = (-y); goto ret; } } else { /* Second stage tan */ - if ((y=c1+(cc1-u23.d*c1)) == c1+(cc1+u23.d*c1)) return y; } - return tanMp(x); + if ((y=c1+(cc1-u23.d*c1)) == c1+(cc1+u23.d*c1)) { retval = y; goto ret; } } + retval = tanMp(x); + goto ret; } /* (XI) The case 1e8 < abs(x) < 2**1024, 0.0608 < abs(y) <= 0.787 */ @@ -448,17 +463,17 @@ tan(double x) { if (n) { /* -cot */ t2 = pz*(fi+gi)/(fi+pz); - if ((y=gi-(t2-gi*u26.d))==gi-(t2+gi*u26.d)) return (-sy*y); + if ((y=gi-(t2-gi*u26.d))==gi-(t2+gi*u26.d)) { retval = (-sy*y); goto ret; } t3 = (t2<ZERO) ? -t2 : t2; t4 = gi*ua26.d+t3*ub26.d; - if ((y=gi-(t2-t4))==gi-(t2+t4)) return (-sy*y); } + if ((y=gi-(t2-t4))==gi-(t2+t4)) { retval = (-sy*y); goto ret; } } else { /* tan */ t2 = pz*(gi+fi)/(gi-pz); - if ((y=fi+(t2-fi*u25.d))==fi+(t2+fi*u25.d)) return (sy*y); + if ((y=fi+(t2-fi*u25.d))==fi+(t2+fi*u25.d)) { retval = (sy*y); goto ret; } t3 = (t2<ZERO) ? -t2 : t2; t4 = fi*ua25.d+t3*ub25.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) return (sy*y); } + if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } /* Second stage */ ffi = xfg[i][3].d; @@ -479,14 +494,18 @@ tan(double x) { if (n) { /* -cot */ DIV2(c1,cc1,c2,cc2,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c3+(cc3-u28.d*c3))==c3+(cc3+u28.d*c3)) return (-sy*y); } + if ((y=c3+(cc3-u28.d*c3))==c3+(cc3+u28.d*c3)) { retval = (-sy*y); goto ret; } } else { /* tan */ DIV2(c2,cc2,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8,t9,t10) - if ((y=c3+(cc3-u27.d*c3))==c3+(cc3+u27.d*c3)) return (sy*y); } - return tanMp(x); -} + if ((y=c3+(cc3-u27.d*c3))==c3+(cc3+u27.d*c3)) { retval = (sy*y); goto ret; } } + retval = tanMp(x); + goto ret; + ret: + libc_feupdateenv (&env); + return retval; +} /* multiple precision stage */ /* Convert x to multi precision number,compute tan(x) by mptan() routine */ |