Re-style fdlibm to conform to jerry guidelines
* First re-style was done automatically by indent to minimize the
chance of errors during rewrite.
* Manual changes were applied to non-critical places only (comments
and spaces):
* Replaced all tabs with spaces.
* Fixed tab stops in formulae in function comments.
(Note: ASCII art for math formulae (especially for super- and
subscripts) is a terrible idea.)
* Unified the style of function comments.
* Moved some in-code comments to their right places, which indent
couldn't handle.
* Added spaces to formulae of in-code comments to make them more
readable.
* Added braces mandated by jerry style guidelines.
* Added parentheses to multiline #ifdef.
JerryScript-DCO-1.0-Signed-off-by: Akos Kiss akiss@inf.u-szeged.hu
This commit is contained in:
Vendored
+153
-78
@@ -6,31 +6,30 @@
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*
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* Developed at SunSoft, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*
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*/
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/* atan2(y,x)
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* Method :
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* 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
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* 2. Reduce x to positive by (if x and y are unexceptional):
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* ARG (x+iy) = arctan(y/x) ... if x > 0,
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* ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
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*
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* Method:
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* 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
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* 2. Reduce x to positive by (if x and y are unexceptional):
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* ARG (x+iy) = arctan(y/x) ... if x > 0,
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* ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
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*
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* Special cases:
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*
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* ATAN2((anything), NaN ) is NaN;
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* ATAN2(NAN , (anything) ) is NaN;
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* ATAN2(+-0, +(anything but NaN)) is +-0 ;
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* ATAN2(+-0, -(anything but NaN)) is +-pi ;
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* ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
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* ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
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* ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
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* ATAN2(+-INF,+INF ) is +-pi/4 ;
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* ATAN2(+-INF,-INF ) is +-3pi/4;
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* ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
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* ATAN2((anything), NaN ) is NaN;
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* ATAN2(NAN , (anything) ) is NaN;
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* ATAN2(+-0, +(anything but NaN)) is +-0 ;
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* ATAN2(+-0, -(anything but NaN)) is +-pi ;
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* ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
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* ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
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* ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
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* ATAN2(+-INF,+INF ) is +-pi/4 ;
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* ATAN2(+-INF,-INF ) is +-3pi/4;
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* ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
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*
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* Constants:
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* The hexadecimal values are the intended ones for the following
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@@ -48,66 +47,142 @@
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#define pi 3.1415926535897931160E+00 /* 0x400921FB, 0x54442D18 */
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#define pi_lo 1.2246467991473531772E-16 /* 0x3CA1A626, 0x33145C07 */
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double atan2(double y, double x)
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{
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double z;
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int k,m,hx,hy,ix,iy;
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unsigned lx,ly;
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double
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atan2 (double y, double x)
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{
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double z;
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int k, m, hx, hy, ix, iy;
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unsigned lx, ly;
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hx = __HI(x); ix = hx&0x7fffffff;
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lx = __LO(x);
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hy = __HI(y); iy = hy&0x7fffffff;
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ly = __LO(y);
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if(((ix|((lx|-lx)>>31))>0x7ff00000)||
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((iy|((ly|-ly)>>31))>0x7ff00000)) /* x or y is NaN */
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return x+y;
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if((hx-0x3ff00000|lx)==0) return atan(y); /* x=1.0 */
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m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
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hx = __HI (x);
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ix = hx & 0x7fffffff;
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lx = __LO (x);
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hy = __HI (y);
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iy = hy & 0x7fffffff;
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ly = __LO (y);
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if (((ix | ((lx | -lx) >> 31)) > 0x7ff00000) || ((iy | ((ly | -ly) >> 31)) > 0x7ff00000)) /* x or y is NaN */
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{
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return x + y;
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}
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if ((hx - 0x3ff00000 | lx) == 0) /* x = 1.0 */
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{
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return atan (y);
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}
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m = ((hy >> 31) & 1) | ((hx >> 30) & 2); /* 2 * sign(x) + sign(y) */
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/* when y = 0 */
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if((iy|ly)==0) {
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switch(m) {
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case 0:
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case 1: return y; /* atan(+-0,+anything)=+-0 */
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case 2: return pi+tiny;/* atan(+0,-anything) = pi */
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case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
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}
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}
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/* when x = 0 */
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if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
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/* when x is INF */
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if(ix==0x7ff00000) {
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if(iy==0x7ff00000) {
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switch(m) {
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case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
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case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
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case 2: return 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
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case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
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}
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} else {
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switch(m) {
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case 0: return zero ; /* atan(+...,+INF) */
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case 1: return -zero ; /* atan(-...,+INF) */
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case 2: return pi+tiny ; /* atan(+...,-INF) */
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case 3: return -pi-tiny ; /* atan(-...,-INF) */
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}
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}
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}
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/* when y is INF */
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if(iy==0x7ff00000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
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/* when y = 0 */
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if ((iy | ly) == 0)
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{
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switch (m)
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{
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case 0:
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case 1:
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{
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return y; /* atan(+-0,+anything) = +-0 */
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}
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case 2:
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{
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return pi + tiny; /* atan(+0,-anything) = pi */
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}
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case 3:
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{
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return -pi - tiny; /* atan(-0,-anything) = -pi */
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}
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}
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}
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/* when x = 0 */
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if ((ix | lx) == 0)
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{
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return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny;
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}
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/* compute y/x */
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k = (iy-ix)>>20;
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if(k > 60) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**60 */
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else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
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else z=atan(fabs(y/x)); /* safe to do y/x */
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switch (m) {
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case 0: return z ; /* atan(+,+) */
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case 1: __HI(z) ^= 0x80000000;
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return z ; /* atan(-,+) */
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case 2: return pi-(z-pi_lo);/* atan(+,-) */
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default: /* case 3 */
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return (z-pi_lo)-pi;/* atan(-,-) */
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}
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}
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/* when x is INF */
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if (ix == 0x7ff00000)
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{
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if (iy == 0x7ff00000)
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{
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switch (m)
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{
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case 0: /* atan(+INF,+INF) */
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{
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return pi_o_4 + tiny;
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}
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case 1: /* atan(-INF,+INF) */
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{
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return -pi_o_4 - tiny;
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}
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case 2: /* atan(+INF,-INF) */
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{
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return 3.0 * pi_o_4 + tiny;
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}
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case 3: /* atan(-INF,-INF) */
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{
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return -3.0 * pi_o_4 - tiny;
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}
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}
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}
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else
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{
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switch (m)
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{
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case 0: /* atan(+...,+INF) */
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{
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return zero;
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}
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case 1: /* atan(-...,+INF) */
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{
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return -zero;
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}
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case 2: /* atan(+...,-INF) */
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{
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return pi + tiny;
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}
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case 3: /* atan(-...,-INF) */
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{
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return -pi - tiny;
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}
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}
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}
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}
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/* when y is INF */
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if (iy == 0x7ff00000)
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{
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return (hy < 0) ? -pi_o_2 - tiny : pi_o_2 + tiny;
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}
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/* compute y / x */
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k = (iy - ix) >> 20;
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if (k > 60) /* |y / x| > 2**60 */
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{
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z = pi_o_2 + 0.5 * pi_lo;
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}
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else if (hx < 0 && k < -60) /* |y| / x < -2**60 */
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{
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z = 0.0;
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}
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else /* safe to do y / x */
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{
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z = atan (fabs (y / x));
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}
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switch (m)
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{
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case 0: /* atan(+,+) */
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{
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return z;
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}
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case 1: /* atan(-,+) */
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{
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__HI (z) ^= 0x80000000;
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return z;
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}
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case 2: /* atan(+,-) */
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{
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return pi - (z - pi_lo);
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}
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/* case 3: */
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default: /* atan(-,-) */
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{
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return (z - pi_lo) - pi;
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}
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}
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} /* atan2 */
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