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11210 libm should be cstyle(1ONBLD) clean

*** 20,29 **** --- 20,30 ---- */ /* * Copyright 2011 Nexenta Systems, Inc. All rights reserved. */ + /* * Copyright 2006 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */
*** 31,80 **** #include "libm.h" /* acosl/atanl/fabsl/isinfl/log1pl/logl/sqrtl */ #include "complex_wrapper.h" #include "longdouble.h" ! /* INDENT OFF */ ! static const long double ! zero = 0.0L, ! one = 1.0L, ! Acrossover = 1.5L, ! Bcrossover = 0.6417L, ! half = 0.5L, ! ln2 = 6.931471805599453094172321214581765680755e-0001L, ! Foursqrtu = 7.3344154702193886624856495681939326638255e-2466L, /* 2**-8189 */ #if defined(__x86) ! E = 5.4210108624275221700372640043497085571289e-20L, /* 2**-64 */ ! pi = 3.141592653589793238295968524909085317631252110004425048828125L, ! pi_l = 1.666748583704175665659172893706807721468195923078e-19L, ! pi_2 = 1.5707963267948966191479842624545426588156260L, ! pi_2_l = 8.3337429185208783282958644685340386073409796e-20L, ! pi_4 = 0.78539816339744830957399213122727132940781302750110626220703125L, ! pi_4_l = 4.166871459260439164147932234267019303670489807695410e-20L, ! pi3_4 = 2.35619449019234492872197639368181398822343908250331878662109375L, ! pi3_4_l = 1.250061437778131749244379670280105791101146942308e-19L; #else ! E = 9.6296497219361792652798897129246365926905e-35L, /* 2**-113 */ ! pi = 3.1415926535897932384626433832795027974790680981372955730045043318L, ! pi_l = 8.6718101301237810247970440260433519687623233462565303417759356862e-35L, ! pi_2 = 1.5707963267948966192313216916397513987395340L, ! pi_2_l = 4.3359050650618905123985220130216759843811616e-35L, ! pi_4 = 0.785398163397448309615660845819875699369767024534323893251126L, ! pi_4_l = 2.167952532530945256199261006510837992190580836564132585443e-35L, ! pi3_4 = 2.35619449019234492884698253745962709810930107360297167975337824L, ! pi3_4_l = 6.503857597592835768597783019532513976571742509692397756331e-35L; #endif ! /* INDENT ON */ #if defined(__x86) static const int ip1 = 0x40400000; /* 2**65 */ #else static const int ip1 = 0x40710000; /* 2**114 */ #endif ldcomplex ! cacosl(ldcomplex z) { long double x, y, t, R, S, A, Am1, B, y2, xm1, xp1, Apx; int ix, iy, hx, hy; ldcomplex ans; x = LD_RE(z); --- 32,81 ---- #include "libm.h" /* acosl/atanl/fabsl/isinfl/log1pl/logl/sqrtl */ #include "complex_wrapper.h" #include "longdouble.h" ! /* BEGIN CSTYLED */ ! static const long double zero = 0.0L, ! one = 1.0L, ! Acrossover = 1.5L, ! Bcrossover = 0.6417L, ! half = 0.5L, ! ln2 = 6.931471805599453094172321214581765680755e-0001L, ! Foursqrtu = 7.3344154702193886624856495681939326638255e-2466L, /* 2**-8189 */ #if defined(__x86) ! E = 5.4210108624275221700372640043497085571289e-20L, /* 2**-64 */ ! pi = 3.141592653589793238295968524909085317631252110004425048828125L, ! pi_l = 1.666748583704175665659172893706807721468195923078e-19L, ! pi_2 = 1.5707963267948966191479842624545426588156260L, ! pi_2_l = 8.3337429185208783282958644685340386073409796e-20L, ! pi_4 = 0.78539816339744830957399213122727132940781302750110626220703125L, ! pi_4_l = 4.166871459260439164147932234267019303670489807695410e-20L, ! pi3_4 = 2.35619449019234492872197639368181398822343908250331878662109375L, ! pi3_4_l = 1.250061437778131749244379670280105791101146942308e-19L; #else ! E = 9.6296497219361792652798897129246365926905e-35L, /* 2**-113 */ ! pi = 3.1415926535897932384626433832795027974790680981372955730045043318L, ! pi_l = 8.6718101301237810247970440260433519687623233462565303417759356862e-35L, ! pi_2 = 1.5707963267948966192313216916397513987395340L, ! pi_2_l = 4.3359050650618905123985220130216759843811616e-35L, ! pi_4 = 0.785398163397448309615660845819875699369767024534323893251126L, ! pi_4_l = 2.167952532530945256199261006510837992190580836564132585443e-35L, ! pi3_4 = 2.35619449019234492884698253745962709810930107360297167975337824L, ! pi3_4_l = 6.503857597592835768597783019532513976571742509692397756331e-35L; #endif ! /* END CSTYLED */ #if defined(__x86) static const int ip1 = 0x40400000; /* 2**65 */ #else static const int ip1 = 0x40710000; /* 2**114 */ #endif ldcomplex ! cacosl(ldcomplex z) ! { long double x, y, t, R, S, A, Am1, B, y2, xm1, xp1, Apx; int ix, iy, hx, hy; ldcomplex ans; x = LD_RE(z);
*** 95,104 **** --- 96,106 ---- /* |y| is inf or NaN */ if (iy >= 0x7fff0000) { if (isinfl(y)) { /* cacos(x + i inf) = pi/2 - i inf */ LD_IM(ans) = -y; + if (ix < 0x7fff0000) { LD_RE(ans) = pi_2 + pi_2_l; } else if (isinfl(x)) { if (hx >= 0) LD_RE(ans) = pi_4 + pi_4_l;
*** 107,187 **** } else { LD_RE(ans) = x; } } else { /* cacos(x + i NaN) = NaN + i NaN */ LD_RE(ans) = y + x; if (isinfl(x)) LD_IM(ans) = -fabsl(x); else LD_IM(ans) = y; } return (ans); } y = fabsl(y); if (ix >= 0x7fff0000) { /* x is inf or NaN */ if (isinfl(x)) { /* x is INF */ LD_IM(ans) = -fabsl(x); if (iy >= 0x7fff0000) { if (isinfl(y)) { ! /* INDENT OFF */ ! /* cacos(inf + i inf) = pi/4 - i inf */ ! /* cacos(-inf+ i inf) =3pi/4 - i inf */ ! /* INDENT ON */ if (hx >= 0) LD_RE(ans) = pi_4 + pi_4_l; else LD_RE(ans) = pi3_4 + pi3_4_l; ! } else ! /* INDENT OFF */ ! /* cacos(inf + i NaN) = NaN - i inf */ ! /* INDENT ON */ LD_RE(ans) = y + y; } else { ! /* INDENT OFF */ ! /* cacos(inf + iy ) = 0 - i inf */ ! /* cacos(-inf+ iy ) = pi - i inf */ ! /* INDENT ON */ if (hx >= 0) LD_RE(ans) = zero; else LD_RE(ans) = pi + pi_l; } } else { /* x is NaN */ ! /* INDENT OFF */ /* * cacos(NaN + i inf) = NaN - i inf * cacos(NaN + i y ) = NaN + i NaN * cacos(NaN + i NaN) = NaN + i NaN */ - /* INDENT ON */ LD_RE(ans) = x + y; ! if (iy >= 0x7fff0000) { LD_IM(ans) = -y; ! } else { LD_IM(ans) = x; } ! } if (hy < 0) LD_IM(ans) = -LD_IM(ans); return (ans); } if (y == zero) { /* region 1: y=0 */ if (ix < 0x3fff0000) { /* |x| < 1 */ LD_RE(ans) = acosl(x); LD_IM(ans) = zero; } else { LD_RE(ans) = zero; x = fabsl(x); ! if (ix >= ip1) /* i386 ? 2**65 : 2**114 */ LD_IM(ans) = ln2 + logl(x); ! else if (ix >= 0x3fff8000) /* x > Acrossover */ LD_IM(ans) = logl(x + sqrtl((x - one) * (x + one))); ! else { xm1 = x - one; LD_IM(ans) = log1pl(xm1 + sqrtl(xm1 * (x + one))); } } --- 109,195 ---- } else { LD_RE(ans) = x; } } else { /* cacos(x + i NaN) = NaN + i NaN */ LD_RE(ans) = y + x; + if (isinfl(x)) LD_IM(ans) = -fabsl(x); else LD_IM(ans) = y; } + return (ans); } y = fabsl(y); if (ix >= 0x7fff0000) { /* x is inf or NaN */ if (isinfl(x)) { /* x is INF */ LD_IM(ans) = -fabsl(x); + if (iy >= 0x7fff0000) { if (isinfl(y)) { ! /* ! * cacos(inf + i inf) = pi/4 - i inf ! * cacos(-inf+ i inf) =3pi/4 - i inf ! */ if (hx >= 0) LD_RE(ans) = pi_4 + pi_4_l; else LD_RE(ans) = pi3_4 + pi3_4_l; ! } else { ! /* ! * cacos(inf + i NaN) = NaN - i inf ! */ LD_RE(ans) = y + y; + } } else { ! /* ! * cacos(inf + iy ) = 0 - i inf ! * cacos(-inf+ iy ) = pi - i inf ! */ if (hx >= 0) LD_RE(ans) = zero; else LD_RE(ans) = pi + pi_l; } } else { /* x is NaN */ ! /* * cacos(NaN + i inf) = NaN - i inf * cacos(NaN + i y ) = NaN + i NaN * cacos(NaN + i NaN) = NaN + i NaN */ LD_RE(ans) = x + y; ! ! if (iy >= 0x7fff0000) LD_IM(ans) = -y; ! else LD_IM(ans) = x; } ! if (hy < 0) LD_IM(ans) = -LD_IM(ans); + return (ans); } if (y == zero) { /* region 1: y=0 */ if (ix < 0x3fff0000) { /* |x| < 1 */ LD_RE(ans) = acosl(x); LD_IM(ans) = zero; } else { LD_RE(ans) = zero; x = fabsl(x); ! ! if (ix >= ip1) { /* i386 ? 2**65 : 2**114 */ LD_IM(ans) = ln2 + logl(x); ! } else if (ix >= 0x3fff8000) { /* x > Acrossover */ LD_IM(ans) = logl(x + sqrtl((x - one) * (x + one))); ! } else { xm1 = x - one; LD_IM(ans) = log1pl(xm1 + sqrtl(xm1 * (x + one))); } }
*** 190,222 **** if (ix < 0x3fff0000) { /* x < 1 */ LD_RE(ans) = acosl(x); x = fabsl(x); LD_IM(ans) = y / sqrtl((one + x) * (one - x)); } else if (ix >= ip1) { /* i386 ? 2**65 : 2**114 */ ! if (hx >= 0) LD_RE(ans) = y / x; ! else { ! if (ix >= ip1 + 0x00040000) LD_RE(ans) = pi + pi_l; ! else { t = pi_l + y / x; LD_RE(ans) = pi + t; } } LD_IM(ans) = ln2 + logl(fabsl(x)); } else { x = fabsl(x); t = sqrtl((x - one) * (x + one)); ! LD_RE(ans) = (hx >= 0)? y / t : pi - (y / t - pi_l); if (ix >= 0x3fff8000) /* x > Acrossover */ LD_IM(ans) = logl(x + t); else LD_IM(ans) = log1pl(t - (one - x)); } } else if (y < Foursqrtu) { /* region 3 */ t = sqrtl(y); ! LD_RE(ans) = (hx >= 0)? t : pi + pi_l; LD_IM(ans) = t; } else if (E * y - one >= fabsl(x)) { /* region 4 */ LD_RE(ans) = pi_2 + pi_2_l; LD_IM(ans) = ln2 + logl(y); } else if (ix >= 0x5ffb0000 || iy >= 0x5ffb0000) { --- 198,232 ---- if (ix < 0x3fff0000) { /* x < 1 */ LD_RE(ans) = acosl(x); x = fabsl(x); LD_IM(ans) = y / sqrtl((one + x) * (one - x)); } else if (ix >= ip1) { /* i386 ? 2**65 : 2**114 */ ! if (hx >= 0) { LD_RE(ans) = y / x; ! } else { ! if (ix >= ip1 + 0x00040000) { LD_RE(ans) = pi + pi_l; ! } else { t = pi_l + y / x; LD_RE(ans) = pi + t; } } + LD_IM(ans) = ln2 + logl(fabsl(x)); } else { x = fabsl(x); t = sqrtl((x - one) * (x + one)); ! LD_RE(ans) = (hx >= 0) ? y / t : pi - (y / t - pi_l); ! if (ix >= 0x3fff8000) /* x > Acrossover */ LD_IM(ans) = logl(x + t); else LD_IM(ans) = log1pl(t - (one - x)); } } else if (y < Foursqrtu) { /* region 3 */ t = sqrtl(y); ! LD_RE(ans) = (hx >= 0) ? t : pi + pi_l; LD_IM(ans) = t; } else if (E * y - one >= fabsl(x)) { /* region 4 */ LD_RE(ans) = pi_2 + pi_2_l; LD_IM(ans) = ln2 + logl(y); } else if (ix >= 0x5ffb0000 || iy >= 0x5ffb0000) {
*** 226,235 **** --- 236,246 ---- LD_IM(ans) = ln2 + logl(y) + half * log1pl(t * t); } else if (fabsl(x) < Foursqrtu) { /* region 6: x is very small, < 4sqrt(min) */ LD_RE(ans) = pi_2 + pi_2_l; A = sqrtl(one + y * y); + if (iy >= 0x3fff8000) /* if y > Acrossover */ LD_IM(ans) = logl(y + A); else LD_IM(ans) = half * log1pl((y + y) * (y + A)); } else { /* safe region */
*** 240,266 **** R = sqrtl(xp1 * xp1 + y2); S = sqrtl(xm1 * xm1 + y2); A = half * (R + S); B = t / A; ! if (B <= Bcrossover) ! LD_RE(ans) = (hx >= 0)? acosl(B) : acosl(-B); ! else { /* use atan and an accurate approx to a-x */ Apx = A + t; if (t <= one) LD_RE(ans) = atan2l(sqrtl(half * Apx * (y2 / (R + xp1) + (S - xm1))), x); else LD_RE(ans) = atan2l((y * sqrtl(half * (Apx / (R + xp1) + Apx / (S + xm1)))), x); } if (A <= Acrossover) { /* use log1p and an accurate approx to A-1 */ if (ix < 0x3fff0000) Am1 = half * (y2 / (R + xp1) + y2 / (S - xm1)); else Am1 = half * (y2 / (R + xp1) + (S + xm1)); LD_IM(ans) = log1pl(Am1 + sqrtl(Am1 * (A + one))); } else { LD_IM(ans) = logl(A + sqrtl(A * A - one)); } } --- 251,280 ---- R = sqrtl(xp1 * xp1 + y2); S = sqrtl(xm1 * xm1 + y2); A = half * (R + S); B = t / A; ! if (B <= Bcrossover) { ! LD_RE(ans) = (hx >= 0) ? acosl(B) : acosl(-B); ! } else { /* use atan and an accurate approx to a-x */ Apx = A + t; + if (t <= one) LD_RE(ans) = atan2l(sqrtl(half * Apx * (y2 / (R + xp1) + (S - xm1))), x); else LD_RE(ans) = atan2l((y * sqrtl(half * (Apx / (R + xp1) + Apx / (S + xm1)))), x); } + if (A <= Acrossover) { /* use log1p and an accurate approx to A-1 */ if (ix < 0x3fff0000) Am1 = half * (y2 / (R + xp1) + y2 / (S - xm1)); else Am1 = half * (y2 / (R + xp1) + (S + xm1)); + LD_IM(ans) = log1pl(Am1 + sqrtl(Am1 * (A + one))); } else { LD_IM(ans) = logl(A + sqrtl(A * A - one)); } }