Print this page
11210 libm should be cstyle(1ONBLD) clean

*** 20,35 **** */ /* * Copyright 2011 Nexenta Systems, Inc. All rights reserved. */ /* * Copyright 2006 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ ! /* INDENT OFF */ /* * long double __k_cexpl(long double x, int *n); * Returns the exponential of x in the form of 2**n * y, y=__k_cexpl(x,&n). * * 1. Argument Reduction: given the input x, find r and integer k --- 20,36 ---- */ /* * Copyright 2011 Nexenta Systems, Inc. All rights reserved. */ + /* * Copyright 2006 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ ! /* * long double __k_cexpl(long double x, int *n); * Returns the exponential of x in the form of 2**n * y, y=__k_cexpl(x,&n). * * 1. Argument Reduction: given the input x, find r and integer k
*** 64,158 **** * Constants: * Only decimal values are given. We assume that the compiler will convert * from decimal to binary accurately enough to produce the correct * hexadecimal values. */ - /* INDENT ON */ #include "libm.h" /* __k_cexpl */ #include "complex_wrapper.h" /* HI_XWORD */ ! /* INDENT OFF */ ! /* ln2/32 = 0.0216608493924982909192885037955680177523593791987579766912713 */ #if defined(__x86) static const long double /* 43 significant bits, 21 trailing zeros */ ! ln2_32hi = 2.166084939249657281834515742957592010498046875e-2L, ! ln2_32lo = 1.7181009433463659920976473789104487579766912713e-15L; static const long double exp2_32_hi[] = { /* exp2_32[j] = 2^(j/32) */ ! 1.0000000000000000000000000e+00L, ! 1.0218971486541166782081522e+00L, ! 1.0442737824274138402382006e+00L, ! 1.0671404006768236181297224e+00L, ! 1.0905077326652576591003302e+00L, ! 1.1143867425958925362894369e+00L, ! 1.1387886347566916536971221e+00L, ! 1.1637248587775775137938619e+00L, ! 1.1892071150027210666875674e+00L, ! 1.2152473599804688780476325e+00L, ! 1.2418578120734840485256747e+00L, ! 1.2690509571917332224885722e+00L, ! 1.2968395546510096659215822e+00L, ! 1.3252366431597412945939118e+00L, ! 1.3542555469368927282668852e+00L, ! 1.3839098819638319548151403e+00L, ! 1.4142135623730950487637881e+00L, ! 1.4451808069770466200253470e+00L, ! 1.4768261459394993113155431e+00L, ! 1.5091644275934227397133885e+00L, ! 1.5422108254079408235859630e+00L, ! 1.5759808451078864864006862e+00L, ! 1.6104903319492543080837174e+00L, ! 1.6457554781539648445110730e+00L, ! 1.6817928305074290860378350e+00L, ! 1.7186192981224779156032914e+00L, ! 1.7562521603732994831094730e+00L, ! 1.7947090750031071864148413e+00L, ! 1.8340080864093424633989166e+00L, ! 1.8741676341102999013002103e+00L, ! 1.9152065613971472938202589e+00L, ! 1.9571441241754002689657438e+00L, }; static const long double exp2_32_lo[] = { ! 0.0000000000000000000000000e+00L, ! 2.6327965667180882569382524e-20L, ! 8.3765863521895191129661899e-20L, ! 3.9798705777454504249209575e-20L, ! 1.0668046596651558640993042e-19L, ! 1.9376009847285360448117114e-20L, ! 6.7081819456112953751277576e-21L, ! 1.9711680502629186462729727e-20L, ! 2.9932584438449523689104569e-20L, ! 6.8887754153039109411061914e-20L, ! 6.8002718741225378942847820e-20L, ! 6.5846917376975403439742349e-20L, ! 1.2171958727511372194876001e-20L, ! 3.5625253228704087115438260e-20L, ! 3.1129551559077560956309179e-20L, ! 5.7519192396164779846216492e-20L, ! 3.7900651177865141593101239e-20L, ! 1.1659262405698741798080115e-20L, ! 7.1364385105284695967172478e-20L, ! 5.2631003710812203588788949e-20L, ! 2.6328853788732632868460580e-20L, ! 5.4583950085438242788190141e-20L, ! 9.5803254376938269960718656e-20L, ! 7.6837733983874245823512279e-21L, ! 2.4415965910835093824202087e-20L, ! 2.6052966871016580981769728e-20L, ! 2.6876456344632553875309579e-21L, ! 1.2861930155613700201703279e-20L, ! 8.8166633394037485606572294e-20L, ! 2.9788615389580190940837037e-20L, ! 5.2352341619805098677422139e-20L, ! 5.2578463064010463732242363e-20L, }; #else /* sparc */ static const long double /* 0x3FF962E4 2FEFA39E F35793C7 00000000 */ ! ln2_32hi = 2.166084939249829091928849858592451515688e-2L, ! ln2_32lo = 5.209643502595475652782654157501186731779e-27L; static const long double exp2_32_hi[] = { /* exp2_32[j] = 2^(j/32) */ 1.000000000000000000000000000000000000000e+0000L, 1.021897148654116678234480134783299439782e+0000L, 1.044273782427413840321966478739929008785e+0000L, 1.067140400676823618169521120992809162607e+0000L, --- 65,129 ---- * Constants: * Only decimal values are given. We assume that the compiler will convert * from decimal to binary accurately enough to produce the correct * hexadecimal values. */ #include "libm.h" /* __k_cexpl */ #include "complex_wrapper.h" /* HI_XWORD */ ! /* ! * ln2/32 = 0.0216608493924982909192885037955680177523593791987579766912713 ! */ #if defined(__x86) static const long double /* 43 significant bits, 21 trailing zeros */ ! ln2_32hi = 2.166084939249657281834515742957592010498046875e-2L, ! ln2_32lo = 1.7181009433463659920976473789104487579766912713e-15L; ! static const long double exp2_32_hi[] = { /* exp2_32[j] = 2^(j/32) */ ! 1.0000000000000000000000000e+00L, 1.0218971486541166782081522e+00L, ! 1.0442737824274138402382006e+00L, 1.0671404006768236181297224e+00L, ! 1.0905077326652576591003302e+00L, 1.1143867425958925362894369e+00L, ! 1.1387886347566916536971221e+00L, 1.1637248587775775137938619e+00L, ! 1.1892071150027210666875674e+00L, 1.2152473599804688780476325e+00L, ! 1.2418578120734840485256747e+00L, 1.2690509571917332224885722e+00L, ! 1.2968395546510096659215822e+00L, 1.3252366431597412945939118e+00L, ! 1.3542555469368927282668852e+00L, 1.3839098819638319548151403e+00L, ! 1.4142135623730950487637881e+00L, 1.4451808069770466200253470e+00L, ! 1.4768261459394993113155431e+00L, 1.5091644275934227397133885e+00L, ! 1.5422108254079408235859630e+00L, 1.5759808451078864864006862e+00L, ! 1.6104903319492543080837174e+00L, 1.6457554781539648445110730e+00L, ! 1.6817928305074290860378350e+00L, 1.7186192981224779156032914e+00L, ! 1.7562521603732994831094730e+00L, 1.7947090750031071864148413e+00L, ! 1.8340080864093424633989166e+00L, 1.8741676341102999013002103e+00L, ! 1.9152065613971472938202589e+00L, 1.9571441241754002689657438e+00L, }; + static const long double exp2_32_lo[] = { ! 0.0000000000000000000000000e+00L, 2.6327965667180882569382524e-20L, ! 8.3765863521895191129661899e-20L, 3.9798705777454504249209575e-20L, ! 1.0668046596651558640993042e-19L, 1.9376009847285360448117114e-20L, ! 6.7081819456112953751277576e-21L, 1.9711680502629186462729727e-20L, ! 2.9932584438449523689104569e-20L, 6.8887754153039109411061914e-20L, ! 6.8002718741225378942847820e-20L, 6.5846917376975403439742349e-20L, ! 1.2171958727511372194876001e-20L, 3.5625253228704087115438260e-20L, ! 3.1129551559077560956309179e-20L, 5.7519192396164779846216492e-20L, ! 3.7900651177865141593101239e-20L, 1.1659262405698741798080115e-20L, ! 7.1364385105284695967172478e-20L, 5.2631003710812203588788949e-20L, ! 2.6328853788732632868460580e-20L, 5.4583950085438242788190141e-20L, ! 9.5803254376938269960718656e-20L, 7.6837733983874245823512279e-21L, ! 2.4415965910835093824202087e-20L, 2.6052966871016580981769728e-20L, ! 2.6876456344632553875309579e-21L, 1.2861930155613700201703279e-20L, ! 8.8166633394037485606572294e-20L, 2.9788615389580190940837037e-20L, ! 5.2352341619805098677422139e-20L, 5.2578463064010463732242363e-20L, }; #else /* sparc */ static const long double /* 0x3FF962E4 2FEFA39E F35793C7 00000000 */ ! ln2_32hi = 2.166084939249829091928849858592451515688e-2L, ! ln2_32lo = 5.209643502595475652782654157501186731779e-27L; static const long double exp2_32_hi[] = { /* exp2_32[j] = 2^(j/32) */ 1.000000000000000000000000000000000000000e+0000L, 1.021897148654116678234480134783299439782e+0000L, 1.044273782427413840321966478739929008785e+0000L, 1.067140400676823618169521120992809162607e+0000L,
*** 220,283 **** +2.371815422825174835691651228302690977951e-0035L, -3.026891682096118773004597373421900314256e-0037L, }; #endif ! static const long double ! one = 1.0L, two = 2.0L, ln2_64 = 1.083042469624914545964425189778400898568e-2L, invln2_32 = 4.616624130844682903551758979206054839765e+1L; /* rational approximation coeffs for [-(ln2)/64,(ln2)/64] */ ! static const long double ! t1 = 1.666666666666666666666666666660876387437e-1L, t2 = -2.777777777777777777777707812093173478756e-3L, t3 = 6.613756613756613482074280932874221202424e-5L, t4 = -1.653439153392139954169609822742235851120e-6L, t5 = 4.175314851769539751387852116610973796053e-8L; - /* INDENT ON */ long double ! __k_cexpl(long double x, int *n) { int hx, ix, j, k; long double t, r; *n = 0; hx = HI_XWORD(x); ix = hx & 0x7fffffff; if (hx >= 0x7fff0000) return (x + x); /* NaN of +inf */ ! if (((unsigned) hx) >= 0xffff0000) return (-one / x); /* NaN or -inf */ if (ix < 0x3fc30000) return (one + x); /* |x|<2^-60 */ if (hx > 0) { if (hx > 0x401086a0) { /* x > 200000 */ *n = 200000; return (one); } ! k = (int) (invln2_32 * (x + ln2_64)); } else { if (ix > 0x401086a0) { /* x < -200000 */ *n = -200000; return (one); } ! k = (int) (invln2_32 * (x - ln2_64)); } j = k & 0x1f; *n = k >> 5; ! t = (long double) k; x = (x - t * ln2_32hi) - t * ln2_32lo; t = x * x; r = (x - t * (t1 + t * (t2 + t * (t3 + t * (t4 + t * t5))))) - two; x = exp2_32_hi[j] - ((exp2_32_hi[j] * (x + x)) / r - exp2_32_lo[j]); k >>= 5; if (k > 240) { XFSCALE(x, 240); *n -= 240; } else if (k > 0) { XFSCALE(x, k); *n = 0; } return (x); } --- 191,261 ---- +2.371815422825174835691651228302690977951e-0035L, -3.026891682096118773004597373421900314256e-0037L, }; #endif ! static const long double one = 1.0L, two = 2.0L, ln2_64 = 1.083042469624914545964425189778400898568e-2L, invln2_32 = 4.616624130844682903551758979206054839765e+1L; /* rational approximation coeffs for [-(ln2)/64,(ln2)/64] */ ! static const long double t1 = 1.666666666666666666666666666660876387437e-1L, t2 = -2.777777777777777777777707812093173478756e-3L, t3 = 6.613756613756613482074280932874221202424e-5L, t4 = -1.653439153392139954169609822742235851120e-6L, t5 = 4.175314851769539751387852116610973796053e-8L; long double ! __k_cexpl(long double x, int *n) ! { int hx, ix, j, k; long double t, r; *n = 0; hx = HI_XWORD(x); ix = hx & 0x7fffffff; + if (hx >= 0x7fff0000) return (x + x); /* NaN of +inf */ ! ! if (((unsigned)hx) >= 0xffff0000) return (-one / x); /* NaN or -inf */ + if (ix < 0x3fc30000) return (one + x); /* |x|<2^-60 */ + if (hx > 0) { if (hx > 0x401086a0) { /* x > 200000 */ *n = 200000; return (one); } ! ! k = (int)(invln2_32 * (x + ln2_64)); } else { if (ix > 0x401086a0) { /* x < -200000 */ *n = -200000; return (one); } ! ! k = (int)(invln2_32 * (x - ln2_64)); } + j = k & 0x1f; *n = k >> 5; ! t = (long double)k; x = (x - t * ln2_32hi) - t * ln2_32lo; t = x * x; r = (x - t * (t1 + t * (t2 + t * (t3 + t * (t4 + t * t5))))) - two; x = exp2_32_hi[j] - ((exp2_32_hi[j] * (x + x)) / r - exp2_32_lo[j]); k >>= 5; + if (k > 240) { XFSCALE(x, 240); *n -= 240; } else if (k > 0) { XFSCALE(x, k); *n = 0; } + return (x); }