Import Geant4 10.7.0.beta source tree
This commit is contained in:
@@ -23,17 +23,13 @@
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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// G4Log
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//
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//
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//
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// --------------------------------------------------------------------
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//
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// Class Description:
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//
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// Class description:
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//
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// The basic idea is to exploit Pade polynomials.
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// A lot of ideas were inspired by the cephes math library
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// (by Stephen L. Moshier moshier@na-net.ornl.gov) as well as actual code.
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// (by Stephen L. Moshier moshier@na-net.ornl.gov) as well as actual code.
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// The Cephes library can be found here: http://www.netlib.org/cephes/
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// Code and algorithms for G4Exp have been extracted and adapted for Geant4
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// from the original implementation in the VDT mathematical library
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@@ -43,33 +39,33 @@
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// Author: Danilo Piparo, Thomas Hauth, Vincenzo Innocente
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//
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// --------------------------------------------------------------------
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/*
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/*
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* VDT is free software: you can redistribute it and/or modify
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* it under the terms of the GNU Lesser Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU Lesser Public License for more details.
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*
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*
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* You should have received a copy of the GNU Lesser Public License
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* along with this program. If not, see <http://www.gnu.org/licenses/>.
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*/
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// --------------------------------------------------------------------
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#ifndef G4Log_h
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#define G4Log_h 1
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#ifndef G4Log_hh
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#define G4Log_hh 1
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#ifdef WIN32
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#define G4Log std::log
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# define G4Log std::log
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#else
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#include <limits>
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#include <stdint.h>
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#include "G4Types.hh"
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# include "G4Types.hh"
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# include <limits>
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# include <stdint.h>
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// local namespace for the constants/functions which are necessary only here
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//
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@@ -78,7 +74,7 @@ namespace G4LogConsts
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const G4double LOG_UPPER_LIMIT = 1e307;
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const G4double LOG_LOWER_LIMIT = 0;
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const G4double SQRTH = 0.70710678118654752440;
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const G4double SQRTH = 0.70710678118654752440;
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const G4float MAXNUMF = 3.4028234663852885981170418348451692544e38f;
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//----------------------------------------------------------------------------
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@@ -87,11 +83,11 @@ namespace G4LogConsts
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//
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union ieee754
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{
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ieee754 () {};
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ieee754 (G4double thed) {d=thed;};
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ieee754 (uint64_t thell) {ll=thell;};
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ieee754 (G4float thef) {f[0]=thef;};
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ieee754 (uint32_t thei) {i[0]=thei;};
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ieee754(){};
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ieee754(G4double thed) { d = thed; };
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ieee754(uint64_t thell) { ll = thell; };
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ieee754(G4float thef) { f[0] = thef; };
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ieee754(uint32_t thei) { i[0] = thei; };
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G4double d;
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G4float f[2];
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uint32_t i[2];
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@@ -101,46 +97,46 @@ namespace G4LogConsts
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inline G4double get_log_px(const G4double x)
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{
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const G4double PX1log = 1.01875663804580931796E-4;
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const G4double PX2log = 4.97494994976747001425E-1;
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const G4double PX3log = 4.70579119878881725854E0;
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const G4double PX4log = 1.44989225341610930846E1;
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const G4double PX5log = 1.79368678507819816313E1;
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const G4double PX6log = 7.70838733755885391666E0;
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const G4double PX1log = 1.01875663804580931796E-4;
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const G4double PX2log = 4.97494994976747001425E-1;
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const G4double PX3log = 4.70579119878881725854E0;
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const G4double PX4log = 1.44989225341610930846E1;
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const G4double PX5log = 1.79368678507819816313E1;
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const G4double PX6log = 7.70838733755885391666E0;
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G4double px = PX1log;
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px *= x;
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px += PX2log;
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px *= x;
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px += PX3log;
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px *= x;
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px += PX4log;
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px *= x;
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px += PX5log;
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px *= x;
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px += PX6log;
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return px;
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G4double px = PX1log;
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px *= x;
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px += PX2log;
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px *= x;
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px += PX3log;
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px *= x;
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px += PX4log;
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px *= x;
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px += PX5log;
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px *= x;
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px += PX6log;
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return px;
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}
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inline G4double get_log_qx(const G4double x)
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{
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const G4double QX1log = 1.12873587189167450590E1;
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const G4double QX2log = 4.52279145837532221105E1;
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const G4double QX3log = 8.29875266912776603211E1;
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const G4double QX4log = 7.11544750618563894466E1;
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const G4double QX5log = 2.31251620126765340583E1;
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const G4double QX1log = 1.12873587189167450590E1;
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const G4double QX2log = 4.52279145837532221105E1;
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const G4double QX3log = 8.29875266912776603211E1;
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const G4double QX4log = 7.11544750618563894466E1;
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const G4double QX5log = 2.31251620126765340583E1;
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G4double qx = x;
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qx += QX1log;
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qx *=x;
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qx += QX2log;
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qx *=x;
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qx += QX3log;
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qx *=x;
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qx += QX4log;
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qx *=x;
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qx += QX5log;
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return qx;
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G4double qx = x;
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qx += QX1log;
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qx *= x;
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qx += QX2log;
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qx *= x;
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qx += QX3log;
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qx *= x;
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qx += QX4log;
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qx *= x;
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qx += QX5log;
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return qx;
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}
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//----------------------------------------------------------------------------
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@@ -149,7 +145,7 @@ namespace G4LogConsts
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inline uint64_t dp2uint64(G4double x)
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{
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ieee754 tmp;
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tmp.d=x;
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tmp.d = x;
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return tmp.ll;
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}
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@@ -159,7 +155,7 @@ namespace G4LogConsts
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inline G4double uint642dp(uint64_t ll)
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{
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ieee754 tmp;
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tmp.ll=ll;
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tmp.ll = ll;
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return tmp.d;
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}
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@@ -169,7 +165,7 @@ namespace G4LogConsts
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inline G4float uint322sp(G4int x)
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{
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ieee754 tmp;
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tmp.i[0]=x;
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tmp.i[0] = x;
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return tmp.f[0];
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}
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@@ -179,13 +175,13 @@ namespace G4LogConsts
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inline uint32_t sp2uint32(G4float x)
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{
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ieee754 tmp;
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tmp.f[0]=x;
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tmp.f[0] = x;
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return tmp.i[0];
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}
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//----------------------------------------------------------------------------
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/// Like frexp but vectorising and the exponent is a double.
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inline G4double getMantExponent(const G4double x, G4double & fe)
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inline G4double getMantExponent(const G4double x, G4double& fe)
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{
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uint64_t n = dp2uint64(x);
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@@ -194,14 +190,15 @@ namespace G4LogConsts
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uint64_t le = (n >> 52);
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// chop the head of the number: an int contains more than 11 bits (32)
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int32_t e = le; // This is important since sums on uint64_t do not vectorise
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fe = e-1023 ;
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int32_t e =
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le; // This is important since sums on uint64_t do not vectorise
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fe = e - 1023;
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// This puts to 11 zeroes the exponent
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n &=0x800FFFFFFFFFFFFFULL;
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n &= 0x800FFFFFFFFFFFFFULL;
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// build a mask which is 0.5, i.e. an exponent equal to 1022
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// which means *2, see the above +1.
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const uint64_t p05 = 0x3FE0000000000000ULL; //dp2uint64(0.5);
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const uint64_t p05 = 0x3FE0000000000000ULL; // dp2uint64(0.5);
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n |= p05;
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return uint642dp(n);
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@@ -209,59 +206,59 @@ namespace G4LogConsts
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//----------------------------------------------------------------------------
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/// Like frexp but vectorising and the exponent is a float.
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inline G4float getMantExponentf(const G4float x, G4float & fe)
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inline G4float getMantExponentf(const G4float x, G4float& fe)
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{
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uint32_t n = sp2uint32(x);
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int32_t e = (n >> 23)-127;
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fe = e;
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int32_t e = (n >> 23) - 127;
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fe = e;
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// fractional part
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const uint32_t p05f = 0x3f000000; // //sp2uint32(0.5);
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n &= 0x807fffff;// ~0x7f800000;
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const uint32_t p05f = 0x3f000000; // //sp2uint32(0.5);
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n &= 0x807fffff; // ~0x7f800000;
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n |= p05f;
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return uint322sp(n);
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}
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}
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} // namespace G4LogConsts
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// Log double precision --------------------------------------------------------
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inline G4double G4Log(G4double x)
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{
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const G4double original_x = x;
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const G4double original_x = x;
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/* separate mantissa from exponent */
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G4double fe;
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x = G4LogConsts::getMantExponent(x,fe);
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/* separate mantissa from exponent */
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G4double fe;
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x = G4LogConsts::getMantExponent(x, fe);
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// blending
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x > G4LogConsts::SQRTH? fe+=1. : x+=x ;
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x -= 1.0;
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// blending
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x > G4LogConsts::SQRTH ? fe += 1. : x += x;
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x -= 1.0;
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/* rational form */
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G4double px = G4LogConsts::get_log_px(x);
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/* rational form */
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G4double px = G4LogConsts::get_log_px(x);
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//for the final formula
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const G4double x2 = x*x;
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px *= x;
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px *= x2;
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// for the final formula
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const G4double x2 = x * x;
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px *= x;
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px *= x2;
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const G4double qx = G4LogConsts::get_log_qx(x);
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const G4double qx = G4LogConsts::get_log_qx(x);
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G4double res = px / qx ;
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G4double res = px / qx;
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res -= fe * 2.121944400546905827679e-4;
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res -= 0.5 * x2 ;
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res -= fe * 2.121944400546905827679e-4;
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res -= 0.5 * x2;
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res = x + res;
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res += fe * 0.693359375;
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res = x + res;
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res += fe * 0.693359375;
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if (original_x > G4LogConsts::LOG_UPPER_LIMIT)
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res = std::numeric_limits<G4double>::infinity();
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if (original_x < G4LogConsts::LOG_LOWER_LIMIT) // THIS IS NAN!
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res = - std::numeric_limits<G4double>::quiet_NaN();
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if(original_x > G4LogConsts::LOG_UPPER_LIMIT)
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res = std::numeric_limits<G4double>::infinity();
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if(original_x < G4LogConsts::LOG_LOWER_LIMIT) // THIS IS NAN!
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res = -std::numeric_limits<G4double>::quiet_NaN();
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return res;
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return res;
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}
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// Log single precision --------------------------------------------------------
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@@ -283,66 +280,70 @@ namespace G4LogConsts
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inline G4float get_log_poly(const G4float x)
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{
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G4float y = x*PX1logf;
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y += PX2logf;
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y *= x;
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y += PX3logf;
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y *= x;
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y += PX4logf;
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y *= x;
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y += PX5logf;
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y *= x;
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y += PX6logf;
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y *= x;
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y += PX7logf;
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y *= x;
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y += PX8logf;
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y *= x;
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y += PX9logf;
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return y;
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G4float y = x * PX1logf;
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y += PX2logf;
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y *= x;
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y += PX3logf;
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y *= x;
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y += PX4logf;
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y *= x;
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y += PX5logf;
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y *= x;
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y += PX6logf;
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y *= x;
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y += PX7logf;
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y *= x;
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y += PX8logf;
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y *= x;
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y += PX9logf;
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return y;
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}
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const G4float SQRTHF = 0.707106781186547524f;
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}
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} // namespace G4LogConsts
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// Log single precision --------------------------------------------------------
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inline G4float G4Logf( G4float x )
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inline G4float G4Logf(G4float x)
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{
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const G4float original_x = x;
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const G4float original_x = x;
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G4float fe;
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x = G4LogConsts::getMantExponentf( x, fe);
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G4float fe;
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x = G4LogConsts::getMantExponentf(x, fe);
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x > G4LogConsts::SQRTHF? fe+=1.f : x+=x ;
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x -= 1.0f;
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x > G4LogConsts::SQRTHF ? fe += 1.f : x += x;
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x -= 1.0f;
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const G4float x2 = x*x;
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const G4float x2 = x * x;
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G4float res = G4LogConsts::get_log_poly(x);
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res *= x2*x;
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G4float res = G4LogConsts::get_log_poly(x);
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res *= x2 * x;
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res += -2.12194440e-4f * fe;
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res += -0.5f * x2;
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res += -2.12194440e-4f * fe;
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res += -0.5f * x2;
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res= x + res;
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res = x + res;
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res += 0.693359375f * fe;
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res += 0.693359375f * fe;
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if (original_x > G4LogConsts::LOGF_UPPER_LIMIT)
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res = std::numeric_limits<G4float>::infinity();
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if (original_x < G4LogConsts::LOGF_LOWER_LIMIT)
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res = -std::numeric_limits<G4float>::quiet_NaN();
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if(original_x > G4LogConsts::LOGF_UPPER_LIMIT)
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res = std::numeric_limits<G4float>::infinity();
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if(original_x < G4LogConsts::LOGF_LOWER_LIMIT)
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res = -std::numeric_limits<G4float>::quiet_NaN();
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return res;
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return res;
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}
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//------------------------------------------------------------------------------
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void logv(const uint32_t size, G4double const * __restrict__ iarray, G4double* __restrict__ oarray);
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void G4Logv(const uint32_t size, G4double const * __restrict__ iarray, G4double* __restrict__ oarray);
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void logfv(const uint32_t size, G4float const * __restrict__ iarray, G4float* __restrict__ oarray);
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void G4Logfv(const uint32_t size, G4float const * __restrict__ iarray, G4float* __restrict__ oarray);
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void logv(const uint32_t size, G4double const* __restrict__ iarray,
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G4double* __restrict__ oarray);
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void G4Logv(const uint32_t size, G4double const* __restrict__ iarray,
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G4double* __restrict__ oarray);
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void logfv(const uint32_t size, G4float const* __restrict__ iarray,
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G4float* __restrict__ oarray);
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void G4Logfv(const uint32_t size, G4float const* __restrict__ iarray,
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G4float* __restrict__ oarray);
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#endif /* WIN32 */
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