diff options
Diffstat (limited to 'sysdeps/ieee754/dbl-64')
-rw-r--r-- | sysdeps/ieee754/dbl-64/s_tan.c | 1133 |
1 files changed, 728 insertions, 405 deletions
diff --git a/sysdeps/ieee754/dbl-64/s_tan.c b/sysdeps/ieee754/dbl-64/s_tan.c index faa5221e5e..91fe2b85f7 100644 --- a/sysdeps/ieee754/dbl-64/s_tan.c +++ b/sysdeps/ieee754/dbl-64/s_tan.c @@ -46,459 +46,782 @@ # define SECTION #endif -static double tanMp(double); -void __mptan(double, mp_no *, int); +static double tanMp (double); +void __mptan (double, mp_no *, int); double SECTION -tan(double x) { +tan (double x) +{ #include "utan.h" #include "utan.tbl" - int ux,i,n; - double a,da,a2,b,db,c,dc,c1,cc1,c2,cc2,c3,cc3,fi,ffi,gi,pz,s,sy, - t,t1,t2,t3,t4,t7,t8,t9,t10,w,x2,xn,xx2,y,ya,yya,z0,z,zz,z2,zz2; + int ux, i, n; + double a, da, a2, b, db, c, dc, c1, cc1, c2, cc2, c3, cc3, fi, ffi, gi, pz, + s, sy, t, t1, t2, t3, t4, t7, t8, t9, t10, w, x2, xn, xx2, y, ya, yya, z0, + z, zz, z2, zz2; #ifndef DLA_FMS - double t5,t6; + double t5, t6; #endif int p; - number num,v; - mp_no mpa,mpt1,mpt2; + number num, v; + mp_no mpa, mpt1, mpt2; double retval; - int __branred(double, double *, double *); - int __mpranred(double, mp_no *, int); + int __branred (double, double *, double *); + int __mpranred (double, mp_no *, int); SET_RESTORE_ROUND_53BIT (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); - retval = x-x; - goto ret; - } + num.d = x; + ux = num.i[HIGH_HALF]; + if ((ux & 0x7ff00000) == 0x7ff00000) + { + if ((ux & 0x7fffffff) == 0x7ff00000) + __set_errno (EDOM); + retval = x - x; + goto ret; + } - w=(x<0.0) ? -x : x; + w = (x < 0.0) ? -x : x; /* (I) The case abs(x) <= 1.259e-8 */ - if (w<=g1.d) { retval = x; goto ret; } + if (w <= g1.d) + { + retval = x; + goto ret; + } /* (II) The case 1.259e-8 < abs(x) <= 0.0608 */ - if (w<=g2.d) { - - /* 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)) { 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+ - x2*a27.d)))))); - EMULV(x,x,x2,xx2,t1,t2,t3,t4,t5) - ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(x ,0.0,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(x ,0.0,c2,cc2,c1,cc1,t1,t2) - if ((y=c1+(cc1-u2.d*c1)) == c1+(cc1+u2.d*c1)) { retval = y; goto ret; } - retval = tanMp(x); - goto ret; - } + if (w <= g2.d) + { - /* (III) The case 0.0608 < abs(x) <= 0.787 */ - if (w<=g3.d) { - - /* First stage */ - i = ((int) (mfftnhf.d+TWO8*w)); - z = w-xfg[i][0].d; z2 = z*z; s = (x<0.0) ? 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)) { retval = (s*y); goto ret; } - t3 = (t2<0.0) ? -t2 : t2; - t4 = fi*ua3.d+t3*ub3.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (s*y); goto ret; } - - /* Second stage */ - ffi = xfg[i][3].d; - c1 = z2*(a7.d+z2*(a9.d+z2*a11.d)); - EMULV(z,z,z2,zz2,t1,t2,t3,t4,t5) - ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(z ,0.0,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(z ,0.0,c2,cc2,c1,cc1,t1,t2) - - ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2) - MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8) - SUB2(1.0,0.0,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)) { retval = (s*y); goto ret; } - retval = tanMp(x); - goto ret; - } + /* First stage */ + x2 = x * x; - /* (---) The case 0.787 < abs(x) <= 25 */ - if (w<=g4.d) { - /* Range reduction by algorithm i */ - t = (x*hpinv.d + toint.d); - xn = t - toint.d; - v.d = t; - t1 = (x - xn*mp1.d) - xn*mp2.d; - n =v.i[LOW_HALF] & 0x00000001; - da = xn*mp3.d; - a=t1-da; - da = (t1-a)-da; - if (a<0.0) {ya=-a; yya=-da; sy=MONE;} - else {ya= a; yya= da; sy= ONE;} - - /* (IV),(V) The case 0.787 < abs(x) <= 25, abs(y) <= 1e-7 */ - 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) { - a2 = a*a; - t2 = da+a*a2*(d3.d+a2*(d5.d+a2*(d7.d+a2*(d9.d+a2*d11.d)))); - if (n) { - /* First stage -cot */ - EADD(a,t2,b,db) - DIV2(1.0,0.0,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)) { retval = (-y); goto ret; } } - else { - /* First stage tan */ - 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); - xn = t - toint.d; - v.d = t; - t1 = (x - xn*mp1.d) - xn*mp2.d; - n =v.i[LOW_HALF] & 0x00000001; - da = xn*pp3.d; - t=t1-da; - da = (t1-t)-da; - t1 = xn*pp4.d; - a = t - t1; - da = ((t-a)-t1)+da; + t2 = d9.d + x2 * d11.d; + t2 = d7.d + x2 * t2; + t2 = d5.d + x2 * t2; + t2 = d3.d + x2 * t2; + t2 *= x * x2; + + if ((y = x + (t2 - u1.d * t2)) == x + (t2 + u1.d * t2)) + { + retval = y; + goto ret; + } /* Second stage */ - EADD(a,da,t1,t2) a=t1; da=t2; - MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8) - c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+ - x2*a27.d)))))); - ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(a ,da ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a ,da ,c2,cc2,c1,cc1,t1,t2) - - if (n) { - /* Second stage -cot */ - DIV2(1.0,0.0,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)) { retval = (-y); goto ret; } } - else { - /* Second stage tan */ - if ((y=c1+(cc1-u7.d*c1)) == c1+(cc1+u7.d*c1)) { retval = y; goto ret; } } - retval = tanMp(x); + c1 = a25.d + x2 * a27.d; + c1 = a23.d + x2 * c1; + c1 = a21.d + x2 * c1; + c1 = a19.d + x2 * c1; + c1 = a17.d + x2 * c1; + c1 = a15.d + x2 * c1; + c1 *= x2; + + EMULV (x, x, x2, xx2, t1, t2, t3, t4, t5); + ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (x, 0.0, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (x, 0.0, c2, cc2, c1, cc1, t1, t2); + if ((y = c1 + (cc1 - u2.d * c1)) == c1 + (cc1 + u2.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 */ + /* (III) The case 0.0608 < abs(x) <= 0.787 */ + if (w <= g3.d) + { + + /* First stage */ + i = ((int) (mfftnhf.d + TWO8 * w)); + z = w - xfg[i][0].d; + z2 = z * z; + s = (x < 0.0) ? 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)) + { + retval = (s * y); + goto ret; + } + t3 = (t2 < 0.0) ? -t2 : t2; + t4 = fi * ua3.d + t3 * ub3.d; + if ((y = fi + (t2 - t4)) == fi + (t2 + t4)) + { + retval = (s * y); + goto ret; + } - /* First stage */ - i = ((int) (mfftnhf.d+TWO8*ya)); - z = (z0=(ya-xfg[i][0].d))+yya; z2 = z*z; - pz = z+z*z2*(e0.d+z2*e1.d); - fi = xfg[i][1].d; gi = xfg[i][2].d; + /* Second stage */ + ffi = xfg[i][3].d; + c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d)); + EMULV (z, z, z2, zz2, t1, t2, t3, t4, t5); + ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (z, 0.0, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (z, 0.0, c2, cc2, c1, cc1, t1, t2); + + ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2); + MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8); + SUB2 (1.0, 0.0, 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)) + { + retval = (s * y); + goto ret; + } + retval = tanMp (x); + goto ret; + } - if (n) { - /* -cot */ - t2 = pz*(fi+gi)/(fi+pz); - if ((y=gi-(t2-gi*u10.d))==gi-(t2+gi*u10.d)) { retval = (-sy*y); goto ret; } - t3 = (t2<0.0) ? -t2 : t2; - t4 = gi*ua10.d+t3*ub10.d; - 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)) { retval = (sy*y); goto ret; } - t3 = (t2<0.0) ? -t2 : t2; - t4 = fi*ua9.d+t3*ub9.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } - - /* Second stage */ - ffi = xfg[i][3].d; - EADD(z0,yya,z,zz) - MUL2(z,zz,z,zz,z2,zz2,t1,t2,t3,t4,t5,t6,t7,t8) - c1 = z2*(a7.d+z2*(a9.d+z2*a11.d)); - ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(z ,zz ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(z ,zz ,c2,cc2,c1,cc1,t1,t2) - - ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2) - MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8) - SUB2(1.0,0.0,c3,cc3,c1,cc1,t1,t2) - - 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)) { 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)) { retval = (sy*y); goto ret; } } + /* (---) The case 0.787 < abs(x) <= 25 */ + if (w <= g4.d) + { + /* Range reduction by algorithm i */ + t = (x * hpinv.d + toint.d); + xn = t - toint.d; + v.d = t; + t1 = (x - xn * mp1.d) - xn * mp2.d; + n = v.i[LOW_HALF] & 0x00000001; + da = xn * mp3.d; + a = t1 - da; + da = (t1 - a) - da; + if (a < 0.0) + { + ya = -a; + yya = -da; + sy = MONE; + } + else + { + ya = a; + yya = da; + sy = ONE; + } + + /* (IV),(V) The case 0.787 < abs(x) <= 25, abs(y) <= 1e-7 */ + 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) + { + a2 = a * a; + t2 = d9.d + a2 * d11.d; + t2 = d7.d + a2 * t2; + t2 = d5.d + a2 * t2; + t2 = d3.d + a2 * t2; + t2 = da + a * a2 * t2; + + if (n) + { + /* First stage -cot */ + EADD (a, t2, b, db); + DIV2 (1.0, 0.0, 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)) + { + retval = (-y); + goto ret; + } + } + else + { + /* First stage tan */ + 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); + xn = t - toint.d; + v.d = t; + t1 = (x - xn * mp1.d) - xn * mp2.d; + n = v.i[LOW_HALF] & 0x00000001; + da = xn * pp3.d; + t = t1 - da; + da = (t1 - t) - da; + t1 = xn * pp4.d; + a = t - t1; + da = ((t - a) - t1) + da; + + /* Second stage */ + EADD (a, da, t1, t2); + a = t1; + da = t2; + MUL2 (a, da, a, da, x2, xx2, t1, t2, t3, t4, t5, t6, t7, t8); + + c1 = a25.d + x2 * a27.d; + c1 = a23.d + x2 * c1; + c1 = a21.d + x2 * c1; + c1 = a19.d + x2 * c1; + c1 = a17.d + x2 * c1; + c1 = a15.d + x2 * c1; + c1 *= x2; + + ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (a, da, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a, da, c2, cc2, c1, cc1, t1, t2); + + if (n) + { + /* Second stage -cot */ + DIV2 (1.0, 0.0, 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)) + { + retval = (-y); + goto ret; + } + } + else + { + /* Second stage tan */ + 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 */ + + /* First stage */ + i = ((int) (mfftnhf.d + TWO8 * ya)); + z = (z0 = (ya - xfg[i][0].d)) + yya; + z2 = z * z; + pz = z + z * z2 * (e0.d + z2 * e1.d); + fi = xfg[i][1].d; + gi = xfg[i][2].d; + + if (n) + { + /* -cot */ + t2 = pz * (fi + gi) / (fi + pz); + if ((y = gi - (t2 - gi * u10.d)) == gi - (t2 + gi * u10.d)) + { + retval = (-sy * y); + goto ret; + } + t3 = (t2 < 0.0) ? -t2 : t2; + t4 = gi * ua10.d + t3 * ub10.d; + 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)) + { + retval = (sy * y); + goto ret; + } + t3 = (t2 < 0.0) ? -t2 : t2; + t4 = fi * ua9.d + t3 * ub9.d; + if ((y = fi + (t2 - t4)) == fi + (t2 + t4)) + { + retval = (sy * y); + goto ret; + } + } - retval = tanMp(x); - goto ret; - } + /* Second stage */ + ffi = xfg[i][3].d; + EADD (z0, yya, z, zz) + MUL2 (z, zz, z, zz, z2, zz2, t1, t2, t3, t4, t5, t6, t7, t8); + c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d)); + ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (z, zz, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (z, zz, c2, cc2, c1, cc1, t1, t2); + + ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2); + MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8); + SUB2 (1.0, 0.0, c3, cc3, c1, cc1, t1, t2); + + 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)) + { + 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)) + { + retval = (sy * y); + goto ret; + } + } + + retval = tanMp (x); + goto ret; + } /* (---) The case 25 < abs(x) <= 1e8 */ - if (w<=g5.d) { - /* Range reduction by algorithm ii */ - t = (x*hpinv.d + toint.d); - xn = t - toint.d; - v.d = t; - t1 = (x - xn*mp1.d) - xn*mp2.d; - n =v.i[LOW_HALF] & 0x00000001; - da = xn*pp3.d; - t=t1-da; - da = (t1-t)-da; - t1 = xn*pp4.d; - a = t - t1; - da = ((t-a)-t1)+da; - EADD(a,da,t1,t2) a=t1; da=t2; - if (a<0.0) {ya=-a; yya=-da; sy=MONE;} - else {ya= a; yya= da; sy= ONE;} - - /* (+++) The case 25 < abs(x) <= 1e8, abs(y) <= 1e-7 */ - 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) { - a2 = a*a; - t2 = da+a*a2*(d3.d+a2*(d5.d+a2*(d7.d+a2*(d9.d+a2*d11.d)))); - if (n) { - /* First stage -cot */ - EADD(a,t2,b,db) - DIV2(1.0,0.0,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)) { retval = (-y); goto ret; } } - else { - /* First stage tan */ - if ((y=a+(t2-u13.d*a))==a+(t2+u13.d*a)) { retval = y; goto ret; } } + if (w <= g5.d) + { + /* Range reduction by algorithm ii */ + t = (x * hpinv.d + toint.d); + xn = t - toint.d; + v.d = t; + t1 = (x - xn * mp1.d) - xn * mp2.d; + n = v.i[LOW_HALF] & 0x00000001; + da = xn * pp3.d; + t = t1 - da; + da = (t1 - t) - da; + t1 = xn * pp4.d; + a = t - t1; + da = ((t - a) - t1) + da; + EADD (a, da, t1, t2); + a = t1; + da = t2; + if (a < 0.0) + { + ya = -a; + yya = -da; + sy = MONE; + } + else + { + ya = a; + yya = da; + sy = ONE; + } + + /* (+++) The case 25 < abs(x) <= 1e8, abs(y) <= 1e-7 */ + 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) + { + a2 = a * a; + t2 = d9.d + a2 * d11.d; + t2 = d7.d + a2 * t2; + t2 = d5.d + a2 * t2; + t2 = d3.d + a2 * t2; + t2 = da + a * a2 * t2; + + if (n) + { + /* First stage -cot */ + EADD (a, t2, b, db); + DIV2 (1.0, 0.0, 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)) + { + retval = (-y); + goto ret; + } + } + else + { + /* First stage tan */ + 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); + c1 = a25.d + x2 * a27.d; + c1 = a23.d + x2 * c1; + c1 = a21.d + x2 * c1; + c1 = a19.d + x2 * c1; + c1 = a17.d + x2 * c1; + c1 = a15.d + x2 * c1; + c1 *= x2; + + ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (a, da, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a, da, c2, cc2, c1, cc1, t1, t2); + + if (n) + { + /* Second stage -cot */ + DIV2 (1.0, 0.0, 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)) + { + retval = (-y); + goto ret; + } + } + else + { + /* Second stage tan */ + 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 */ + /* First stage */ + i = ((int) (mfftnhf.d + TWO8 * ya)); + z = (z0 = (ya - xfg[i][0].d)) + yya; + z2 = z * z; + pz = z + z * z2 * (e0.d + z2 * e1.d); + fi = xfg[i][1].d; + gi = xfg[i][2].d; + + if (n) + { + /* -cot */ + t2 = pz * (fi + gi) / (fi + pz); + if ((y = gi - (t2 - gi * u18.d)) == gi - (t2 + gi * u18.d)) + { + retval = (-sy * y); + goto ret; + } + t3 = (t2 < 0.0) ? -t2 : t2; + t4 = gi * ua18.d + t3 * ub18.d; + 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)) + { + retval = (sy * y); + goto ret; + } + t3 = (t2 < 0.0) ? -t2 : t2; + t4 = fi * ua17.d + t3 * ub17.d; + if ((y = fi + (t2 - t4)) == fi + (t2 + t4)) + { + retval = (sy * y); + goto ret; + } + } /* Second stage */ - MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8) - c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+ - x2*a27.d)))))); - ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(a ,da ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a ,da ,c2,cc2,c1,cc1,t1,t2) - - if (n) { - /* Second stage -cot */ - DIV2(1.0,0.0,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)) { retval = (-y); goto ret; } } - else { - /* Second stage tan */ - if ((y=c1+(cc1-u15.d*c1)) == c1+(cc1+u15.d*c1)) { retval = (y); goto ret; } } - retval = tanMp(x); + ffi = xfg[i][3].d; + EADD (z0, yya, z, zz); + MUL2 (z, zz, z, zz, z2, zz2, t1, t2, t3, t4, t5, t6, t7, t8); + c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d)); + ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (z, zz, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (z, zz, c2, cc2, c1, cc1, t1, t2); + + ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2); + MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8); + SUB2 (1.0, 0.0, c3, cc3, c1, cc1, t1, t2); + + 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)) + { + 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)) + { + retval = (sy * y); + goto ret; + } + } + retval = tanMp (x); goto ret; } - /* (IX) The case 25 < abs(x) <= 1e8, 0.0608 < abs(y) <= 0.787 */ - /* First stage */ - i = ((int) (mfftnhf.d+TWO8*ya)); - z = (z0=(ya-xfg[i][0].d))+yya; z2 = z*z; - pz = z+z*z2*(e0.d+z2*e1.d); - fi = xfg[i][1].d; gi = xfg[i][2].d; - - if (n) { - /* -cot */ - t2 = pz*(fi+gi)/(fi+pz); - if ((y=gi-(t2-gi*u18.d))==gi-(t2+gi*u18.d)) { retval = (-sy*y); goto ret; } - t3 = (t2<0.0) ? -t2 : t2; - t4 = gi*ua18.d+t3*ub18.d; - 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)) { retval = (sy*y); goto ret; } - t3 = (t2<0.0) ? -t2 : t2; - t4 = fi*ua17.d+t3*ub17.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } - - /* Second stage */ - ffi = xfg[i][3].d; - EADD(z0,yya,z,zz) - MUL2(z,zz,z,zz,z2,zz2,t1,t2,t3,t4,t5,t6,t7,t8) - c1 = z2*(a7.d+z2*(a9.d+z2*a11.d)); - ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(z ,zz ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(z ,zz ,c2,cc2,c1,cc1,t1,t2) - - ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2) - MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8) - SUB2(1.0,0.0,c3,cc3,c1,cc1,t1,t2) - - 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)) { 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)) { retval = (sy*y); goto ret; } } - retval = tanMp(x); - goto ret; - } - /* (---) The case 1e8 < abs(x) < 2**1024 */ /* Range reduction by algorithm iii */ - n = (__branred(x,&a,&da)) & 0x00000001; - EADD(a,da,t1,t2) a=t1; da=t2; - if (a<0.0) {ya=-a; yya=-da; sy=MONE;} - else {ya= a; yya= da; sy= ONE;} + n = (__branred (x, &a, &da)) & 0x00000001; + EADD (a, da, t1, t2); + a = t1; + da = t2; + if (a < 0.0) + { + ya = -a; + yya = -da; + sy = MONE; + } + else + { + ya = a; + yya = da; + sy = ONE; + } /* (+++) The case 1e8 < abs(x) < 2**1024, abs(y) <= 1e-7 */ - if (ya<=gy1.d) { retval = tanMp(x); goto ret; } + 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) { - a2 = a*a; - t2 = da+a*a2*(d3.d+a2*(d5.d+a2*(d7.d+a2*(d9.d+a2*d11.d)))); - if (n) { - /* First stage -cot */ - EADD(a,t2,b,db) - DIV2(1.0,0.0,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)) { retval = (-y); goto ret; } } - else { - /* First stage tan */ - if ((y=a+(t2-u21.d*a))==a+(t2+u21.d*a)) { retval = y; goto ret; } } - - /* Second stage */ - /* Reduction by algorithm iv */ - p=10; n = (__mpranred(x,&mpa,p)) & 0x00000001; - __mp_dbl(&mpa,&a,p); __dbl_mp(a,&mpt1,p); - __sub(&mpa,&mpt1,&mpt2,p); __mp_dbl(&mpt2,&da,p); - - MUL2(a,da,a,da,x2,xx2,t1,t2,t3,t4,t5,t6,t7,t8) - c1 = x2*(a15.d+x2*(a17.d+x2*(a19.d+x2*(a21.d+x2*(a23.d+x2*(a25.d+ - x2*a27.d)))))); - ADD2(a13.d,aa13.d,c1,0.0,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a11.d,aa11.d,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a9.d ,aa9.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a7.d ,aa7.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a5.d ,aa5.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d ,aa3.d ,c1,cc1,c2,cc2,t1,t2) - MUL2(x2,xx2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(a ,da ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a ,da ,c2,cc2,c1,cc1,t1,t2) - - if (n) { - /* Second stage -cot */ - DIV2(1.0,0.0,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)) { retval = (-y); goto ret; } } - else { - /* Second stage tan */ - if ((y=c1+(cc1-u23.d*c1)) == c1+(cc1+u23.d*c1)) { retval = y; goto ret; } } - retval = tanMp(x); - goto ret; - } + if (ya <= gy2.d) + { + a2 = a * a; + t2 = d9.d + a2 * d11.d; + t2 = d7.d + a2 * t2; + t2 = d5.d + a2 * t2; + t2 = d3.d + a2 * t2; + t2 = da + a * a2 * t2; + if (n) + { + /* First stage -cot */ + EADD (a, t2, b, db); + DIV2 (1.0, 0.0, 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)) + { + retval = (-y); + goto ret; + } + } + else + { + /* First stage tan */ + if ((y = a + (t2 - u21.d * a)) == a + (t2 + u21.d * a)) + { + retval = y; + goto ret; + } + } + + /* Second stage */ + /* Reduction by algorithm iv */ + p = 10; + n = (__mpranred (x, &mpa, p)) & 0x00000001; + __mp_dbl (&mpa, &a, p); + __dbl_mp (a, &mpt1, p); + __sub (&mpa, &mpt1, &mpt2, p); + __mp_dbl (&mpt2, &da, p); + + MUL2 (a, da, a, da, x2, xx2, t1, t2, t3, t4, t5, t6, t7, t8); + + c1 = a25.d + x2 * a27.d; + c1 = a23.d + x2 * c1; + c1 = a21.d + x2 * c1; + c1 = a19.d + x2 * c1; + c1 = a17.d + x2 * c1; + c1 = a15.d + x2 * c1; + c1 *= x2; + + ADD2 (a13.d, aa13.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a11.d, aa11.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a9.d, aa9.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a7.d, aa7.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a5.d, aa5.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (x2, xx2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (a, da, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a, da, c2, cc2, c1, cc1, t1, t2); + + if (n) + { + /* Second stage -cot */ + DIV2 (1.0, 0.0, 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)) + { + retval = (-y); + goto ret; + } + } + else + { + /* Second stage tan */ + 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 */ /* First stage */ - i = ((int) (mfftnhf.d+TWO8*ya)); - z = (z0=(ya-xfg[i][0].d))+yya; z2 = z*z; - pz = z+z*z2*(e0.d+z2*e1.d); - fi = xfg[i][1].d; gi = xfg[i][2].d; - - if (n) { - /* -cot */ - t2 = pz*(fi+gi)/(fi+pz); - if ((y=gi-(t2-gi*u26.d))==gi-(t2+gi*u26.d)) { retval = (-sy*y); goto ret; } - t3 = (t2<0.0) ? -t2 : t2; - t4 = gi*ua26.d+t3*ub26.d; - 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)) { retval = (sy*y); goto ret; } - t3 = (t2<0.0) ? -t2 : t2; - t4 = fi*ua25.d+t3*ub25.d; - if ((y=fi+(t2-t4))==fi+(t2+t4)) { retval = (sy*y); goto ret; } } + i = ((int) (mfftnhf.d + TWO8 * ya)); + z = (z0 = (ya - xfg[i][0].d)) + yya; + z2 = z * z; + pz = z + z * z2 * (e0.d + z2 * e1.d); + fi = xfg[i][1].d; + gi = xfg[i][2].d; + + if (n) + { + /* -cot */ + t2 = pz * (fi + gi) / (fi + pz); + if ((y = gi - (t2 - gi * u26.d)) == gi - (t2 + gi * u26.d)) + { + retval = (-sy * y); + goto ret; + } + t3 = (t2 < 0.0) ? -t2 : t2; + t4 = gi * ua26.d + t3 * ub26.d; + 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)) + { + retval = (sy * y); + goto ret; + } + t3 = (t2 < 0.0) ? -t2 : t2; + t4 = fi * ua25.d + t3 * ub25.d; + if ((y = fi + (t2 - t4)) == fi + (t2 + t4)) + { + retval = (sy * y); + goto ret; + } + } /* Second stage */ ffi = xfg[i][3].d; - EADD(z0,yya,z,zz) - MUL2(z,zz,z,zz,z2,zz2,t1,t2,t3,t4,t5,t6,t7,t8) - c1 = z2*(a7.d+z2*(a9.d+z2*a11.d)); - ADD2(a5.d,aa5.d,c1,0.0,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(a3.d,aa3.d,c1,cc1,c2,cc2,t1,t2) - MUL2(z2,zz2,c2,cc2,c1,cc1,t1,t2,t3,t4,t5,t6,t7,t8) - MUL2(z ,zz ,c1,cc1,c2,cc2,t1,t2,t3,t4,t5,t6,t7,t8) - ADD2(z ,zz ,c2,cc2,c1,cc1,t1,t2) - - ADD2(fi ,ffi,c1,cc1,c2,cc2,t1,t2) - MUL2(fi ,ffi,c1,cc1,c3,cc3,t1,t2,t3,t4,t5,t6,t7,t8) - SUB2(1.0,0.0,c3,cc3,c1,cc1,t1,t2) - - 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)) { 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)) { retval = (sy*y); goto ret; } } - retval = tanMp(x); + EADD (z0, yya, z, zz); + MUL2 (z, zz, z, zz, z2, zz2, t1, t2, t3, t4, t5, t6, t7, t8); + c1 = z2 * (a7.d + z2 * (a9.d + z2 * a11.d)); + ADD2 (a5.d, aa5.d, c1, 0.0, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (a3.d, aa3.d, c1, cc1, c2, cc2, t1, t2); + MUL2 (z2, zz2, c2, cc2, c1, cc1, t1, t2, t3, t4, t5, t6, t7, t8); + MUL2 (z, zz, c1, cc1, c2, cc2, t1, t2, t3, t4, t5, t6, t7, t8); + ADD2 (z, zz, c2, cc2, c1, cc1, t1, t2); + + ADD2 (fi, ffi, c1, cc1, c2, cc2, t1, t2); + MUL2 (fi, ffi, c1, cc1, c3, cc3, t1, t2, t3, t4, t5, t6, t7, t8); + SUB2 (1.0, 0.0, c3, cc3, c1, cc1, t1, t2); + + 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)) + { + 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)) + { + retval = (sy * y); + goto ret; + } + } + retval = tanMp (x); goto ret; - ret: +ret: return retval; } @@ -507,14 +830,14 @@ tan(double x) { /* and converts result back to double */ static double SECTION -tanMp(double x) +tanMp (double x) { int p; double y; mp_no mpy; - p=32; - __mptan(x, &mpy, p); - __mp_dbl(&mpy,&y,p); + p = 32; + __mptan (x, &mpy, p); + __mp_dbl (&mpy, &y, p); return y; } |