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
+85
-48
@@ -6,14 +6,14 @@
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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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/* atan(x)
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* Method
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*
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* Method:
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* 1. Reduce x to positive by atan(x) = -atan(-x).
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* 2. According to the integer k=4t+0.25 chopped, t=x, the argument
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* is further reduced to one of the following intervals and the
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@@ -34,14 +34,16 @@
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#include "fdlibm.h"
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static const double atanhi[] = {
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static const double atanhi[] =
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{
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4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
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7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
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9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
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1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
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};
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static const double atanlo[] = {
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static const double atanlo[] =
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{
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2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
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3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
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1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
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@@ -63,48 +65,83 @@ static const double atanlo[] = {
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#define one 1.0
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#define huge 1.0e300
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double atan(double x)
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double
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atan (double x)
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{
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double w,s1,s2,z;
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int ix,hx,id;
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double w, s1, s2, z;
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int ix, hx, id;
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hx = __HI(x);
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ix = hx&0x7fffffff;
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if(ix>=0x44100000) { /* if |x| >= 2^66 */
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if(ix>0x7ff00000||
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(ix==0x7ff00000&&(__LO(x)!=0)))
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return x+x; /* NaN */
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if(hx>0) return atanhi[3]+atanlo[3];
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else return -atanhi[3]-atanlo[3];
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} if (ix < 0x3fdc0000) { /* |x| < 0.4375 */
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if (ix < 0x3e200000) { /* |x| < 2^-29 */
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if(huge+x>one) return x; /* raise inexact */
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}
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id = -1;
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} else {
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x = fabs(x);
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if (ix < 0x3ff30000) { /* |x| < 1.1875 */
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if (ix < 0x3fe60000) { /* 7/16 <=|x|<11/16 */
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id = 0; x = (2.0*x-one)/(2.0+x);
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} else { /* 11/16<=|x|< 19/16 */
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id = 1; x = (x-one)/(x+one);
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}
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} else {
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if (ix < 0x40038000) { /* |x| < 2.4375 */
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id = 2; x = (x-1.5)/(one+1.5*x);
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} else { /* 2.4375 <= |x| < 2^66 */
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id = 3; x = -1.0/x;
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}
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}}
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/* end of argument reduction */
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z = x*x;
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w = z*z;
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/* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
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s1 = z*(aT0+w*(aT2+w*(aT4+w*(aT6+w*(aT8+w*aT10)))));
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s2 = w*(aT1+w*(aT3+w*(aT5+w*(aT7+w*aT9))));
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if (id<0) return x - x*(s1+s2);
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else {
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z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
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return (hx<0)? -z:z;
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}
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}
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hx = __HI (x);
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ix = hx & 0x7fffffff;
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if (ix >= 0x44100000) /* if |x| >= 2^66 */
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{
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if (ix > 0x7ff00000 || (ix == 0x7ff00000 && (__LO (x) != 0)))
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{
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return x + x; /* NaN */
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}
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if (hx > 0)
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{
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return atanhi[3] + atanlo[3];
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}
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else
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{
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return -atanhi[3] - atanlo[3];
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}
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}
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if (ix < 0x3fdc0000) /* |x| < 0.4375 */
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{
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if (ix < 0x3e200000) /* |x| < 2^-29 */
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{
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if (huge + x > one) /* raise inexact */
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{
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return x;
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}
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}
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id = -1;
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}
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else
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{
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x = fabs (x);
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if (ix < 0x3ff30000) /* |x| < 1.1875 */
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{
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if (ix < 0x3fe60000) /* 7/16 <= |x| < 11/16 */
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{
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id = 0;
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x = (2.0 * x - one) / (2.0 + x);
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}
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else /* 11/16 <= |x| < 19/16 */
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{
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id = 1;
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x = (x - one) / (x + one);
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}
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}
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else
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{
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if (ix < 0x40038000) /* |x| < 2.4375 */
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{
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id = 2;
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x = (x - 1.5) / (one + 1.5 * x);
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}
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else /* 2.4375 <= |x| < 2^66 */
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{
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id = 3;
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x = -1.0 / x;
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}
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}
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}
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/* end of argument reduction */
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z = x * x;
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w = z * z;
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/* break sum from i=0 to 10 aT[i] z**(i+1) into odd and even poly */
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s1 = z * (aT0 + w * (aT2 + w * (aT4 + w * (aT6 + w * (aT8 + w * aT10)))));
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s2 = w * (aT1 + w * (aT3 + w * (aT5 + w * (aT7 + w * aT9))));
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if (id < 0)
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{
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return x - x * (s1 + s2);
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}
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else
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{
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z = atanhi[id] - ((x * (s1 + s2) - atanlo[id]) - x);
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return (hx < 0) ? -z : z;
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}
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} /* atan */
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