implimentation of log2 was taken from here http://www.freebsd.org/cgi/cvsweb.cgi/ports/graphics/inkscape/files/patch-src_trace_potrace_inkscape-potrace.cpp http://www.freebsd.org/cgi/query-pr.cgi?pr=83845 --- liboctave/CmplxDET.cc.orig Thu Mar 2 12:40:01 2006 +++ liboctave/CmplxDET.cc Tue Jul 4 21:10:43 2006 @@ -33,6 +33,8 @@ #include "lo-mappers.h" #include "oct-cmplx.h" +#include "log2.h" + bool ComplexDET::value_will_overflow (void) const { --- liboctave/dbleDET.cc.orig Thu Jul 27 02:19:10 2006 +++ liboctave/dbleDET.cc Thu Aug 31 16:05:44 2006 @@ -29,6 +29,7 @@ #include #include "dbleDET.h" +#include "log2.h" #include "lo-mappers.h" bool @@ -64,7 +65,7 @@ { if (c10 != 0.0) { - double etmp = e10 / log10 (2); + double etmp = e10 / __builtin_log10 (2); e2 = static_cast (xround (etmp)); etmp -= e2; c2 = c10 * xexp2 (etmp); --- /dev/null Tue Jul 4 21:11:00 2006 +++ liboctave/log2.h Tue Jul 4 21:09:55 2006 @@ -0,0 +1,118 @@ +#ifndef log2 +static const double +ln2 = 0.6931471805599452862268, +two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */ +Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */ +Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */ +Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */ +Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */ +Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */ +Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */ +Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */ + +static const double zero = 0.0; + +#if BYTE_ORDER == BIG_ENDIAN + +typedef union +{ + double value; + struct + { + u_int32_t msw; + u_int32_t lsw; + } parts; +} ieee_double_shape_type; + +#endif + +#if BYTE_ORDER == LITTLE_ENDIAN + +typedef union +{ + double value; + struct + { + u_int32_t lsw; + u_int32_t msw; + } parts; +} ieee_double_shape_type; + +#endif + +#define EXTRACT_WORDS(ix0,ix1,d) \ + do { \ + ieee_double_shape_type ew_u; \ + ew_u.value = (d); \ + (ix0) = ew_u.parts.msw; \ + (ix1) = ew_u.parts.lsw; \ + } while (0) + +#define GET_HIGH_WORD(i,d) \ + do { \ + ieee_double_shape_type gh_u; \ + gh_u.value = (d); \ + (i) = gh_u.parts.msw; \ + } while (0) + +#define SET_HIGH_WORD(d,v) \ + do { \ + ieee_double_shape_type sh_u; \ + sh_u.value = (d); \ + sh_u.parts.msw = (v); \ + (d) = sh_u.value; \ + } while (0) + +static double +_log2(double x) +{ + double hfsq,f,s,z,R,w,t1,t2,dk; + int32_t k,hx,i,j; + u_int32_t lx; + + EXTRACT_WORDS(hx,lx,x); + + k=0; + if (hx < 0x00100000) { /* x < 2**-1022 */ + if (((hx&0x7fffffff)|lx)==0) + return -two54/zero; /* log(+-0)=-inf */ + if (hx<0) return (x-x)/zero; /* log(-#) = NaN */ + k -= 54; x *= two54; /* subnormal number, scale up x */ + GET_HIGH_WORD(hx,x); + } + if (hx >= 0x7ff00000) return x+x; + k += (hx>>20)-1023; + hx &= 0x000fffff; + i = (hx+0x95f64)&0x100000; + SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */ + k += (i>>20); + f = x-1.0; + dk = (double)k; + if((0x000fffff&(2+hx))<3) { /* |f| < 2**-20 */ + if (f==zero) + return (dk); + R = f*f*(0.5-0.33333333333333333*f); + return (dk-(R-f)/ln2); + } + s = f/(2.0+f); + z = s*s; + i = hx-0x6147a; + w = z*z; + j = 0x6b851-hx; + t1= w*(Lg2+w*(Lg4+w*Lg6)); + t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7))); + i |= j; + R = t2+t1; + if(i>0) { + hfsq=0.5*f*f; + return (dk-(hfsq-s*(hfsq+R)-f)/ln2); + } else + return (dk-((s*(f-R))-f)/ln2); +} + +#define log2(x) _log2(x) +#endif + + + + k