X-Git-Url: http://nsz.repo.hu/git/?a=blobdiff_plain;f=src%2Fmath%2Fatan2l.c;h=f0937a9794986068b712972342a28fb3500333fa;hb=b1dfb734a45d4f74c7a24c5f07d37f7e74451802;hp=7cb42c2fe31180241a5538f8e1958d5a5cd9300b;hpb=c6383b7b10303457306932584fc23f24b5153a81;p=musl diff --git a/src/math/atan2l.c b/src/math/atan2l.c index 7cb42c2f..f0937a97 100644 --- a/src/math/atan2l.c +++ b/src/math/atan2l.c @@ -27,68 +27,52 @@ long double atan2l(long double y, long double x) long double atan2l(long double y, long double x) { - union IEEEl2bits ux, uy; + union ldshape ux, uy; long double z; - int32_t k,m; - int16_t exptx, expsignx, expty, expsigny; + int m, ex, ey; - uy.e = y; - expsigny = uy.xbits.expsign; - expty = expsigny & 0x7fff; - ux.e = x; - expsignx = ux.xbits.expsign; - exptx = expsignx & 0x7fff; - if ((exptx==0x7fff && - ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)!=0) || /* x is NaN */ - (expty==0x7fff && - ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)!=0)) /* y is NaN */ + if (isnan(x) || isnan(y)) return x+y; - if (expsignx==0x3fff && ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)==0) /* x=1.0 */ + if (x == 1) return atanl(y); - m = ((expsigny>>15)&1) | ((expsignx>>14)&2); /* 2*sign(x)+sign(y) */ - - /* when y = 0 */ - if (expty==0 && ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)==0) { + ux.f = x; + uy.f = y; + ex = ux.i.se & 0x7fff; + ey = uy.i.se & 0x7fff; + m = 2*(ux.i.se>>15) | uy.i.se>>15; + if (y == 0) { switch(m) { case 0: case 1: return y; /* atan(+-0,+anything)=+-0 */ - case 2: return 2*pio2_hi+0x1p-120f; /* atan(+0,-anything) = pi */ - case 3: return -2*pio2_hi-0x1p-120f; /* atan(-0,-anything) =-pi */ + case 2: return 2*pio2_hi; /* atan(+0,-anything) = pi */ + case 3: return -2*pio2_hi; /* atan(-0,-anything) =-pi */ } } - /* when x = 0 */ - if (exptx==0 && ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)==0) - return expsigny < 0 ? -pio2_hi-0x1p-120f : pio2_hi+0x1p-120f; - /* when x is INF */ - if (exptx == 0x7fff) { - if (expty == 0x7fff) { + if (x == 0) + return m&1 ? -pio2_hi : pio2_hi; + if (ex == 0x7fff) { + if (ey == 0x7fff) { switch(m) { - case 0: return pio2_hi*0.5+0x1p-120f; /* atan(+INF,+INF) */ - case 1: return -pio2_hi*0.5-0x1p-120f; /* atan(-INF,+INF) */ - case 2: return 1.5*pio2_hi+0x1p-120f; /* atan(+INF,-INF) */ - case 3: return -1.5*pio2_hi-0x1p-120f; /* atan(-INF,-INF) */ + case 0: return pio2_hi/2; /* atan(+INF,+INF) */ + case 1: return -pio2_hi/2; /* atan(-INF,+INF) */ + case 2: return 1.5*pio2_hi; /* atan(+INF,-INF) */ + case 3: return -1.5*pio2_hi; /* atan(-INF,-INF) */ } } else { switch(m) { case 0: return 0.0; /* atan(+...,+INF) */ case 1: return -0.0; /* atan(-...,+INF) */ - case 2: return 2*pio2_hi+0x1p-120f; /* atan(+...,-INF) */ - case 3: return -2*pio2_hi-0x1p-120f; /* atan(-...,-INF) */ + case 2: return 2*pio2_hi; /* atan(+...,-INF) */ + case 3: return -2*pio2_hi; /* atan(-...,-INF) */ } } } - /* when y is INF */ - if (expty == 0x7fff) - return expsigny < 0 ? -pio2_hi-0x1p-120f : pio2_hi+0x1p-120f; - - /* compute y/x */ - k = expty-exptx; - if(k > LDBL_MANT_DIG+2) { /* |y/x| huge */ - z = pio2_hi+0x1p-120f; - m &= 1; - } else if (expsignx < 0 && k < -LDBL_MANT_DIG-2) /* |y/x| tiny, x<0 */ + if (ex+120 < ey || ey == 0x7fff) + return m&1 ? -pio2_hi : pio2_hi; + /* z = atan(|y/x|) without spurious underflow */ + if ((m&2) && ey+120 < ex) /* |y/x| < 0x1p-120, x<0 */ z = 0.0; - else /* safe to do y/x */ + else z = atanl(fabsl(y/x)); switch (m) { case 0: return z; /* atan(+,+) */