diff options
Diffstat (limited to 'sysdeps/libm-ieee754/e_j0.c')
| -rw-r--r-- | sysdeps/libm-ieee754/e_j0.c | 92 |
1 files changed, 68 insertions, 24 deletions
diff --git a/sysdeps/libm-ieee754/e_j0.c b/sysdeps/libm-ieee754/e_j0.c index ac7e00a..ff4c73b 100644 --- a/sysdeps/libm-ieee754/e_j0.c +++ b/sysdeps/libm-ieee754/e_j0.c @@ -9,6 +9,9 @@ * is preserved. * ==================================================== */ +/* Modified by Naohiko Shimizu/Tokai University, Japan 1997/08/26, + for performance improvement on pipelined processors. +*/ #if defined(LIBM_SCCS) && !defined(lint) static char rcsid[] = "$NetBSD: e_j0.c,v 1.8 1995/05/10 20:45:23 jtc Exp $"; @@ -78,14 +81,14 @@ one = 1.0, invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */ tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */ /* R0/S0 on [0, 2.00] */ -R02 = 1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */ -R03 = -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */ -R04 = 1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */ -R05 = -4.61832688532103189199e-09, /* 0xBE33D5E7, 0x73D63FCE */ -S01 = 1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */ -S02 = 1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */ -S03 = 5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */ -S04 = 1.16614003333790000205e-09; /* 0x3E1408BC, 0xF4745D8F */ +R[] = {0.0, 0.0, 1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */ + -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */ + 1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */ + -4.61832688532103189199e-09}, /* 0xBE33D5E7, 0x73D63FCE */ +S[] = {0.0, 1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */ + 1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */ + 5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */ + 1.16614003333790000205e-09}; /* 0x3E1408BC, 0xF4745D8F */ #ifdef __STDC__ static const double zero = 0.0; @@ -100,7 +103,7 @@ static double zero = 0.0; double x; #endif { - double z, s,c,ss,cc,r,u,v; + double z, s,c,ss,cc,r,u,v,r1,r2,s1,s2,z2,z4; int32_t hx,ix; GET_HIGH_WORD(hx,x); @@ -135,8 +138,17 @@ static double zero = 0.0; } } z = x*x; +#ifdef DO_NOT_USE_THIS r = z*(R02+z*(R03+z*(R04+z*R05))); s = one+z*(S01+z*(S02+z*(S03+z*S04))); +#else + r1 = z*R[2]; z2=z*z; + r2 = R[3]+z*R[4]; z4=z2*z2; + r = r1 + z2*r2 + z4*R[5]; + s1 = one+z*S[1]; + s2 = S[2]+z*S[3]; + s = s1 + z2*s2 + z4*S[4]; +#endif if(ix < 0x3FF00000) { /* |x| < 1.00 */ return one + z*(-0.25+(r/s)); } else { @@ -150,17 +162,17 @@ static const double #else static double #endif -u00 = -7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */ -u01 = 1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */ -u02 = -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */ -u03 = 3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */ -u04 = -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */ -u05 = 1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */ -u06 = -3.98205194132103398453e-11, /* 0xBDC5E43D, 0x693FB3C8 */ -v01 = 1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */ -v02 = 7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */ -v03 = 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */ -v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */ +U[] = {-7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */ + 1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */ + -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */ + 3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */ + -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */ + 1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */ + -3.98205194132103398453e-11}, /* 0xBDC5E43D, 0x693FB3C8 */ +V[] = {1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */ + 7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */ + 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */ + 4.41110311332675467403e-10}; /* 0x3DFE5018, 0x3BD6D9EF */ #ifdef __STDC__ double __ieee754_y0(double x) @@ -169,7 +181,7 @@ v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */ double x; #endif { - double z, s,c,ss,cc,u,v; + double z, s,c,ss,cc,u,v,z2,z4,z6,u1,u2,u3,v1,v2; int32_t hx,ix,lx; EXTRACT_WORDS(hx,lx,x); @@ -211,11 +223,21 @@ v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */ return z; } if(ix<=0x3e400000) { /* x < 2**-27 */ - return(u00 + tpi*__ieee754_log(x)); + return(U[0] + tpi*__ieee754_log(x)); } z = x*x; +#ifdef DO_NOT_USE_THIS u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06))))); v = one+z*(v01+z*(v02+z*(v03+z*v04))); +#else + u1 = U[0]+z*U[1]; z2=z*z; + u2 = U[2]+z*U[3]; z4=z2*z2; + u3 = U[4]+z*U[5]; z6=z4*z2; + u = u1 + z2*u2 + z4*u3 + z6*U[6]; + v1 = one+z*V[1]; + v2 = V[2]+z*V[3]; + v = v1 + z2*v2 + z4*V[4]; +#endif return(u/v + tpi*(__ieee754_j0(x)*__ieee754_log(x))); } @@ -336,7 +358,7 @@ static double pS2[5] = { #else double *p,*q; #endif - double z,r,s; + double z,r,s,z2,z4,r1,r2,r3,s1,s2,s3; int32_t ix; GET_HIGH_WORD(ix,x); ix &= 0x7fffffff; @@ -345,8 +367,19 @@ static double pS2[5] = { else if(ix>=0x4006DB6D){p = pR3; q= pS3;} else if(ix>=0x40000000){p = pR2; q= pS2;} z = one/(x*x); +#ifdef DO_NOT_USE_THIS r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); +#else + r1 = p[0]+z*p[1]; z2=z*z; + r2 = p[2]+z*p[3]; z4=z2*z2; + r3 = p[4]+z*p[5]; + r = r1 + z2*r2 + z4*r3; + s1 = one+z*q[0]; + s2 = q[1]+z*q[2]; + s3 = q[3]+z*q[4]; + s = s1 + z2*s2 + z4*s3; +#endif return one+ r/s; } @@ -472,7 +505,7 @@ static double qS2[6] = { #else double *p,*q; #endif - double s,r,z; + double s,r,z,z2,z4,z6,r1,r2,r3,s1,s2,s3; int32_t ix; GET_HIGH_WORD(ix,x); ix &= 0x7fffffff; @@ -481,7 +514,18 @@ static double qS2[6] = { else if(ix>=0x4006DB6D){p = qR3; q= qS3;} else if(ix>=0x40000000){p = qR2; q= qS2;} z = one/(x*x); +#ifdef DO_NOT_USE_THIS r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5]))))); +#else + r1 = p[0]+z*p[1]; z2=z*z; + r2 = p[2]+z*p[3]; z4=z2*z2; + r3 = p[4]+z*p[5]; z6=z4*z2; + r= r1 + z2*r2 + z4*r3; + s1 = one+z*q[0]; + s2 = q[1]+z*q[2]; + s3 = q[3]+z*q[4]; + s = s1 + z2*s2 + z4*s3 +z6*q[5]; +#endif return (-.125 + r/s)/x; } |