Add BID decimal support
authorMichael Meissner <michael.meissner@amd.com>
Sat, 24 Mar 2007 17:04:47 +0000 (17:04 +0000)
committerMichael Meissner <meissner@gcc.gnu.org>
Sat, 24 Mar 2007 17:04:47 +0000 (17:04 +0000)
Co-Authored-By: H.J. Lu <hongjiu.lu@intel.com>
Co-Authored-By: Marius Cornea <marius.cornea@intel.com>
From-SVN: r123185

42 files changed:
gcc/ChangeLog
gcc/Makefile.in
gcc/c-cppbuiltin.c
gcc/config.in
gcc/config/dfp-bit.c
gcc/config/dfp-bit.h
gcc/configure
gcc/configure.ac
gcc/dfp.c
gcc/doc/install.texi
gcc/optabs.c
gcc/testsuite/ChangeLog
gcc/testsuite/gcc.dg/dfp/convert-dfp.c
gcc/testsuite/gcc.dg/dfp/convert-int-saturate.c
gcc/testsuite/gcc.dg/dfp/decfloat-constants.c
libdecnumber/ChangeLog
libdecnumber/Makefile.in
libdecnumber/bid/bid-dpd.h [new file with mode: 0644]
libdecnumber/bid/bid2dpd_dpd2bid.c [new file with mode: 0644]
libdecnumber/bid/bid2dpd_dpd2bid.h [new file with mode: 0644]
libdecnumber/bid/decimal128.c [new file with mode: 0644]
libdecnumber/bid/decimal128.h [new file with mode: 0644]
libdecnumber/bid/decimal32.c [new file with mode: 0644]
libdecnumber/bid/decimal32.h [new file with mode: 0644]
libdecnumber/bid/decimal64.c [new file with mode: 0644]
libdecnumber/bid/decimal64.h [new file with mode: 0644]
libdecnumber/bid/host-ieee128.c [new file with mode: 0644]
libdecnumber/bid/host-ieee32.c [new file with mode: 0644]
libdecnumber/bid/host-ieee64.c [new file with mode: 0644]
libdecnumber/config.in
libdecnumber/configure
libdecnumber/configure.ac
libdecnumber/dpd/decimal128.c [moved from libdecnumber/decimal128.c with 100% similarity]
libdecnumber/dpd/decimal128.h [moved from libdecnumber/decimal128.h with 96% similarity]
libdecnumber/dpd/decimal32.c [moved from libdecnumber/decimal32.c with 100% similarity]
libdecnumber/dpd/decimal32.h [moved from libdecnumber/decimal32.h with 96% similarity]
libdecnumber/dpd/decimal64.c [moved from libdecnumber/decimal64.c with 100% similarity]
libdecnumber/dpd/decimal64.h [moved from libdecnumber/decimal64.h with 96% similarity]
libgcc/ChangeLog
libgcc/Makefile.in
libgcc/configure
libgcc/configure.ac

index 6f14062..3f12200 100644 (file)
@@ -1,3 +1,68 @@
+2007-03-23  Michael Meissner  <michael.meissner@amd.com>
+           H.J. Lu  <hongjiu.lu@intel.com>
+
+       * config/dfp-bit.h (DPD_BID_NAME): New macro to give either the
+       DPD or BID name.
+       (name macros): Use DPD_BID_NAME to convert names properly.
+
+       * optabs.c (DECIMAL_PREFIX): Prefix string to use for the current
+       decimal floating point format.
+       (init_floating_libfuncs): Change decimal functions so that they
+       have a "bid_" prefix if the decimal system uses the BID format,
+       and "dpd_" prefix if the decimal system uses the DPD format.
+       (init_interclass_conv_libfuncs): Ditto.
+       (init_intraclass_conv_libfuncs): Ditto.
+
+       * config.in (ENABLE_DECIMAL_BID_FORMAT): New macro to say we are
+       using the BID format.
+
+       * configure.ac (ENABLE_DECIMAL_BID_FORMAT): Set to 1/0 to say
+       whether we are using the BID decimal format.
+       * configure: Regenerate.
+
+       * c-cppbuiltin.c (c_cpp_builtins): Define __STDC_WANT_DEC_FP__ if
+       the compiler has decimal floating point enabled.  Define
+       __DECIMAL_BID_FORMAT__ if BID decimal floating point is used
+       instead of DPD.
+
+       * config.in (ENABLE_DECIMAL_BID_FORMAT): New macro to say we are
+       using the BID format.
+
+       * configure.ac (ENABLE_DECIMAL_BID_FORMAT): Set to 1/0 to say
+       whether we are using the BID decimal format.
+       * configure: Regenerate.
+
+       * c-cppbuiltin.c (c_cpp_builtins): Define __STDC_WANT_DEC_FP__ if
+       the compiler has decimal floating point enabled.  Define
+       __DECIMAL_BID_FORMAT__ if BID decimal floating point is used
+       instead of DPD.
+
+       * doc/install.texi (--enable-decimal-float): Document BID and DPD
+       options, and that it is enabled for i386/x86_64 systems.
+
+       * Makefile.in (enable_decimal_float): New.
+       (DECNUMFMT): New.
+       (DECNUMINC): Add  -I$(DECNUMFMT).
+       (DECNUM_H): Mov decimal32.h, decimal64.h and decimal128.h
+       to $(DECNUMFMT) from $(DECNUM).
+
+       * configure.ac: Support * --enable-decimal-float={no,yes,bid,dpd}.
+       Substitute enable_decimal_float.
+       * configure: Regenerated.
+
+       PR other/30529
+       * config/dfp-bit.c (__dec_byte_swap): Use uint32_t instead of
+       unsigned long.
+
+       * configure.ac: Enable decimal float for x86_64-*-linux*.
+       * configure: Regenerated.
+
+       PR other/30530
+       * dfp.c (decimal_real_arithmetic): Use decimal128FlipSign and
+       decimal128ClearSign to flip and clear the sign bit in decimal128.
+       (decimal_real_maxval): Set decimal128SetSign to set the sign
+       bit in decimal128.
+
 2007-03-23  Ian Lance Taylor  <iant@google.com>
 
        * fold-const.c (fold_binary): Correct warning for X - c >= X.
index dc9d846..ea6255f 100644 (file)
@@ -289,8 +289,10 @@ CPPLIB = ../libcpp/libcpp.a
 CPPINC = -I$(srcdir)/../libcpp/include
 
 # Where to find decNumber
+enable_decimal_float = @enable_decimal_float@
 DECNUM = $(srcdir)/../libdecnumber
-DECNUMINC = -I$(DECNUM) -I../libdecnumber
+DECNUMFMT = $(srcdir)/../libdecnumber/$(enable_decimal_float)
+DECNUMINC = -I$(DECNUM) -I$(DECNUMFMT) -I../libdecnumber
 LIBDECNUMBER = ../libdecnumber/libdecnumber.a
 
 # Substitution type for target's getgroups 2nd arg.
@@ -770,7 +772,7 @@ PREDICT_H = predict.h predict.def
 CPPLIB_H = $(srcdir)/../libcpp/include/line-map.h \
        $(srcdir)/../libcpp/include/cpplib.h
 DECNUM_H = $(DECNUM)/decContext.h $(DECNUM)/decDPD.h $(DECNUM)/decNumber.h \
-       $(DECNUM)/decimal32.h $(DECNUM)/decimal64.h $(DECNUM)/decimal128.h
+       $(DECNUMFMT)/decimal32.h $(DECNUMFMT)/decimal64.h $(DECNUMFMT)/decimal128.h
 MKDEPS_H = $(srcdir)/../libcpp/include/mkdeps.h
 SYMTAB_H = $(srcdir)/../libcpp/include/symtab.h
 CPP_ID_DATA_H = $(CPPLIB_H) $(srcdir)/../libcpp/include/cpp-id-data.h
index e9f608e..d27b96b 100644 (file)
@@ -605,6 +605,17 @@ c_cpp_builtins (cpp_reader *pfile)
      new appearance would clobber any existing args.  */
   if (TARGET_DECLSPEC)
     builtin_define ("__declspec(x)=__attribute__((x))");
+
+  /* Tell the user whether decimal floating point is supported,
+     and if it is supported, whether the alternate format (BID)
+     is used over the standard (DPD) format.  */
+
+  if (ENABLE_DECIMAL_FLOAT)
+    {
+      cpp_define (pfile, "__STDC_WANT_DEC_FP__");
+      if (ENABLE_DECIMAL_BID_FORMAT)
+       cpp_define (pfile, "__DECIMAL_BID_FORMAT__");
+    }
 }
 
 /* Pass an object-like macro.  If it doesn't lie in the user's
index 69f7e9e..7e60a3e 100644 (file)
 #endif
 
 
+/* Define to 1 to say we are using the BID decimal format */
+#ifndef USED_FOR_TARGET
+#undef ENABLE_DECIMAL_BID_FORMAT
+#endif
+
+
 /* Define if you want fold checked that it never destructs its argument. This
    is quite expensive. */
 #ifndef USED_FOR_TARGET
index 2fa8999..af1db16 100644 (file)
@@ -1,5 +1,5 @@
 /* This is a software decimal floating point library.
-   Copyright (C) 2005, 2006 Free Software Foundation, Inc.
+   Copyright (C) 2005, 2006, 2007 Free Software Foundation, Inc.
 
 This file is part of GCC.
 
@@ -66,7 +66,7 @@ typedef decNumber* (*dfp_unary_func)
 typedef decNumber* (*dfp_binary_func)
      (decNumber *, const decNumber *, const decNumber *, decContext *);
 
-extern unsigned long __dec_byte_swap (unsigned long);
+extern uint32_t __dec_byte_swap (uint32_t);
 \f
 /* Unary operations.  */
 
index 1bbe156..5238a2b 100644 (file)
@@ -1,5 +1,5 @@
 /* Header file for dfp-bit.c.
-   Copyright (C) 2005, 2006 Free Software Foundation, Inc.
+   Copyright (C) 2005, 2006, 2007 Free Software Foundation, Inc.
 
 This file is part of GCC.
 
@@ -288,63 +288,69 @@ extern float strtof (const char *, char **);
 
 /* Names of arithmetic functions.  */
 
+#if ENABLE_DECIMAL_BID_FORMAT
+#define DPD_BID_NAME(DPD,BID) BID
+#else
+#define DPD_BID_NAME(DPD,BID) DPD
+#endif
+
 #if WIDTH == 32
-#define DFP_ADD                __addsd3
-#define DFP_SUB                __subsd3
-#define DFP_MULTIPLY   __mulsd3
-#define DFP_DIVIDE     __divsd3
-#define DFP_EQ         __eqsd2
-#define DFP_NE         __nesd2
-#define DFP_LT         __ltsd2
-#define DFP_GT         __gtsd2
-#define DFP_LE         __lesd2
-#define DFP_GE         __gesd2
-#define DFP_UNORD      __unordsd2
+#define DFP_ADD                DPD_BID_NAME(__dpd_addsd3,__bid_addsd3)
+#define DFP_SUB                DPD_BID_NAME(__dpd_subsd3,__bid_subsd3)
+#define DFP_MULTIPLY   DPD_BID_NAME(__dpd_mulsd3,__bid_mulsd3)
+#define DFP_DIVIDE     DPD_BID_NAME(__dpd_divsd3,__bid_divsd3)
+#define DFP_EQ         DPD_BID_NAME(__dpd_eqsd2,__bid_eqsd2)
+#define DFP_NE         DPD_BID_NAME(__dpd_nesd2,__bid_nesd2)
+#define DFP_LT         DPD_BID_NAME(__dpd_ltsd2,__bid_ltsd2)
+#define DFP_GT         DPD_BID_NAME(__dpd_gtsd2,__bid_gtsd2)
+#define DFP_LE         DPD_BID_NAME(__dpd_lesd2,__bid_lesd2)
+#define DFP_GE         DPD_BID_NAME(__dpd_gesd2,__bid_gesd2)
+#define DFP_UNORD      DPD_BID_NAME(__dpd_unordsd2,__bid_unordsd2)
 #elif WIDTH == 64
-#define DFP_ADD                __adddd3
-#define DFP_SUB                __subdd3
-#define DFP_MULTIPLY   __muldd3
-#define DFP_DIVIDE     __divdd3
-#define DFP_EQ         __eqdd2
-#define DFP_NE         __nedd2
-#define DFP_LT         __ltdd2
-#define DFP_GT         __gtdd2
-#define DFP_LE         __ledd2
-#define DFP_GE         __gedd2
-#define DFP_UNORD      __unorddd2
+#define DFP_ADD                DPD_BID_NAME(__dpd_adddd3,__bid_adddd3)
+#define DFP_SUB                DPD_BID_NAME(__dpd_subdd3,__bid_subdd3)
+#define DFP_MULTIPLY   DPD_BID_NAME(__dpd_muldd3,__bid_muldd3)
+#define DFP_DIVIDE     DPD_BID_NAME(__dpd_divdd3,__bid_divdd3)
+#define DFP_EQ         DPD_BID_NAME(__dpd_eqdd2,__bid_eqdd2)
+#define DFP_NE         DPD_BID_NAME(__dpd_nedd2,__bid_nedd2)
+#define DFP_LT         DPD_BID_NAME(__dpd_ltdd2,__bid_ltdd2)
+#define DFP_GT         DPD_BID_NAME(__dpd_gtdd2,__bid_gtdd2)
+#define DFP_LE         DPD_BID_NAME(__dpd_ledd2,__bid_ledd2)
+#define DFP_GE         DPD_BID_NAME(__dpd_gedd2,__bid_gedd2)
+#define DFP_UNORD      DPD_BID_NAME(__dpd_unorddd2,__bid_unorddd2)
 #elif WIDTH == 128
-#define DFP_ADD                __addtd3
-#define DFP_SUB                __subtd3
-#define DFP_MULTIPLY   __multd3
-#define DFP_DIVIDE     __divtd3
-#define DFP_EQ         __eqtd2
-#define DFP_NE         __netd2
-#define DFP_LT         __lttd2
-#define DFP_GT         __gttd2
-#define DFP_LE         __letd2
-#define DFP_GE         __getd2
-#define DFP_UNORD      __unordtd2
+#define DFP_ADD                DPD_BID_NAME(__dpd_addtd3,__bid_addtd3)
+#define DFP_SUB                DPD_BID_NAME(__dpd_subtd3,__bid_subtd3)
+#define DFP_MULTIPLY   DPD_BID_NAME(__dpd_multd3,__bid_multd3)
+#define DFP_DIVIDE     DPD_BID_NAME(__dpd_divtd3,__bid_divtd3)
+#define DFP_EQ         DPD_BID_NAME(__dpd_eqtd2,__bid_eqtd2)
+#define DFP_NE         DPD_BID_NAME(__dpd_netd2,__bid_netd2)
+#define DFP_LT         DPD_BID_NAME(__dpd_lttd2,__bid_lttd2)
+#define DFP_GT         DPD_BID_NAME(__dpd_gttd2,__bid_gttd2)
+#define DFP_LE         DPD_BID_NAME(__dpd_letd2,__bid_letd2)
+#define DFP_GE         DPD_BID_NAME(__dpd_getd2,__bid_getd2)
+#define DFP_UNORD      DPD_BID_NAME(__dpd_unordtd2,__bid_unordtd2)
 #endif
 
 /* Names of functions to convert between different decimal float types.  */
 
 #if WIDTH == 32
 #if WIDTH_TO == 64
-#define DFP_TO_DFP     __extendsddd2
+#define DFP_TO_DFP     DPD_BID_NAME(__dpd_extendsddd2,__bid_extendsddd2)
 #elif WIDTH_TO == 128
-#define DFP_TO_DFP     __extendsdtd2
+#define DFP_TO_DFP     DPD_BID_NAME(__dpd_extendsdtd2,__bid_extendsdtd2)
 #endif
 #elif WIDTH == 64      
 #if WIDTH_TO == 32
-#define DFP_TO_DFP     __truncddsd2
+#define DFP_TO_DFP     DPD_BID_NAME(__dpd_truncddsd2,__bid_truncddsd2)
 #elif WIDTH_TO == 128
-#define DFP_TO_DFP     __extendddtd2
+#define DFP_TO_DFP     DPD_BID_NAME(__dpd_extendddtd2,__bid_extendddtd2)
 #endif
 #elif WIDTH == 128
 #if WIDTH_TO == 32
-#define DFP_TO_DFP     __trunctdsd2
+#define DFP_TO_DFP     DPD_BID_NAME(__dpd_trunctdsd2,__bid_trunctdsd2)
 #elif WIDTH_TO == 64
-#define DFP_TO_DFP     __trunctddd2
+#define DFP_TO_DFP     DPD_BID_NAME(__dpd_trunctddd2,__bid_trunctddd2)
 #endif
 #endif
 
@@ -352,45 +358,45 @@ extern float strtof (const char *, char **);
 
 #if WIDTH == 32
 #if INT_KIND == 1
-#define INT_TO_DFP     __floatsisd
-#define DFP_TO_INT     __fixsdsi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatsisd,__bid_floatsisd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixsdsi,__bid_fixsdsi)
 #elif INT_KIND == 2
-#define INT_TO_DFP     __floatdisd
-#define DFP_TO_INT     __fixsddi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatdisd,__bid_floatdisd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixsddi,__bid_fixsddi)
 #elif INT_KIND == 3
-#define INT_TO_DFP     __floatunssisd
-#define DFP_TO_INT     __fixunssdsi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatunssisd,__bid_floatunssisd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixunssdsi,__bid_fixunssdsi)
 #elif INT_KIND == 4
-#define INT_TO_DFP     __floatunsdisd
-#define DFP_TO_INT     __fixunssddi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatunsdisd,__bid_floatunsdisd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixunssddi,__bid_fixunssddi)
 #endif
 #elif WIDTH == 64
 #if INT_KIND == 1
-#define INT_TO_DFP     __floatsidd
-#define DFP_TO_INT     __fixddsi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatsidd,__bid_floatsidd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixddsi,__bid_fixddsi)
 #elif INT_KIND == 2
-#define INT_TO_DFP     __floatdidd
-#define DFP_TO_INT     __fixdddi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatdidd,__bid_floatdidd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixdddi,__bid_fixdddi)
 #elif INT_KIND == 3
-#define INT_TO_DFP     __floatunssidd
-#define DFP_TO_INT     __fixunsddsi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatunssidd,__bid_floatunssidd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixunsddsi,__bid_fixunsddsi)
 #elif INT_KIND == 4
-#define INT_TO_DFP     __floatunsdidd
-#define DFP_TO_INT     __fixunsdddi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatunsdidd,__bid_floatunsdidd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixunsdddi,__bid_fixunsdddi)
 #endif
 #elif WIDTH == 128
 #if INT_KIND == 1
-#define INT_TO_DFP     __floatsitd
-#define DFP_TO_INT     __fixtdsi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatsitd,__bid_floatsitd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixtdsi,__bid_fixtdsi)
 #elif INT_KIND == 2
-#define INT_TO_DFP     __floatditd
-#define DFP_TO_INT     __fixtddi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatditd,__bid_floatditd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixtddi,__bid_fixtddi)
 #elif INT_KIND == 3
-#define INT_TO_DFP     __floatunssitd
-#define DFP_TO_INT     __fixunstdsi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatunssitd,__bid_floatunssitd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixunstdsi,__bid_fixunstdsi)
 #elif INT_KIND == 4
-#define INT_TO_DFP     __floatunsditd
-#define DFP_TO_INT     __fixunstddi
+#define INT_TO_DFP     DPD_BID_NAME(__dpd_floatunsditd,__bid_floatunsditd)
+#define DFP_TO_INT     DPD_BID_NAME(__dpd_fixunstddi,__bid_fixunstddi)
 #endif
 #endif
 
@@ -398,38 +404,38 @@ extern float strtof (const char *, char **);
 
 #if WIDTH == 32
 #if BFP_KIND == 1
-#define BFP_TO_DFP     __extendsfsd
-#define DFP_TO_BFP     __truncsdsf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_extendsfsd,__bid_extendsfsd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_truncsdsf,__bid_truncsdsf)
 #elif BFP_KIND == 2
-#define BFP_TO_DFP     __truncdfsd
-#define DFP_TO_BFP     __extendsddf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_truncdfsd,__bid_truncdfsd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_extendsddf,__bid_extendsddf)
 #elif BFP_KIND == 3
-#define BFP_TO_DFP     __truncxfsd
-#define DFP_TO_BFP     __extendsdxf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_truncxfsd,__bid_truncxfsd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_extendsdxf,__bid_extendsdxf)
 #endif /* BFP_KIND */
 
 #elif WIDTH == 64
 #if BFP_KIND == 1
-#define BFP_TO_DFP     __extendsfdd
-#define DFP_TO_BFP     __truncddsf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_extendsfdd,__bid_extendsfdd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_truncddsf,__bid_truncddsf)
 #elif BFP_KIND == 2
-#define BFP_TO_DFP     __extenddfdd
-#define DFP_TO_BFP     __truncdddf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_extenddfdd,__bid_extenddfdd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_truncdddf,__bid_truncdddf)
 #elif BFP_KIND == 3
-#define BFP_TO_DFP     __truncxfdd
-#define DFP_TO_BFP     __extendddxf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_truncxfdd,__bid_truncxfdd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_extendddxf,__bid_extendddxf)
 #endif /* BFP_KIND */
 
 #elif WIDTH == 128
 #if BFP_KIND == 1
-#define BFP_TO_DFP     __extendsftd
-#define DFP_TO_BFP     __trunctdsf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_extendsftd,__bid_extendsftd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_trunctdsf,__bid_trunctdsf)
 #elif BFP_KIND == 2
-#define BFP_TO_DFP     __extenddftd
-#define DFP_TO_BFP     __trunctddf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_extenddftd,__bid_extenddftd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_trunctddf,__bid_trunctddf)
 #elif BFP_KIND == 3
-#define BFP_TO_DFP     __extendxftd
-#define DFP_TO_BFP     __trunctdxf
+#define BFP_TO_DFP     DPD_BID_NAME(__dpd_extendxftd,__bid_extendxftd)
+#define DFP_TO_BFP     DPD_BID_NAME(__dpd_trunctdxf,__bid_trunctdxf)
 #endif /* BFP_KIND */
 
 #endif /* WIDTH */
index 0cecbcd..627c946 100755 (executable)
@@ -879,7 +879,10 @@ Optional Features:
   --enable-gather-detailed-mem-stats         enable detailed memory allocation stats gathering
   --enable-multilib       enable library support for multiple ABIs
   --enable-__cxa_atexit   enable __cxa_atexit for C++
-  --enable-decimal-float  enable decimal float extension to C
+  --enable-decimal-float={no,yes,bid,dpd}
+                       enable decimal float extension to C.  Selecting 'bid'
+                       or 'dpd' choses which decimal floating point format
+                       to use
   --enable-threads        enable thread usage for target GCC
   --enable-threads=LIB    use LIB thread package for target GCC
   --enable-tls            enable or disable generation of tls code
@@ -7012,9 +7015,19 @@ fi;
 if test "${enable_decimal_float+set}" = set; then
   enableval="$enable_decimal_float"
 
-  if test x$enablevar = xyes ; then
-    case $target in
-    powerpc*-*-linux* | i?86*-*-linux*)
+  case $enable_decimal_float in
+    yes | no | bid | dpd) ;;
+    *) { { echo "$as_me:$LINENO: error: '$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'." >&5
+echo "$as_me: error: '$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'." >&2;}
+   { (exit 1); exit 1; }; } ;;
+  esac
+
+else
+
+  case $target in
+    powerpc*-*-linux* | i?86*-*-linux* | x86_64*-*-linux*)
       enable_decimal_float=yes
       ;;
     *)
@@ -7022,19 +7035,41 @@ if test "${enable_decimal_float+set}" = set; then
 echo "$as_me: WARNING: decimal float is not supported for this target" >&2;}
       enable_decimal_float=no
       ;;
-    esac
-  fi
+  esac
 
-else
-  enable_decimal_float=no
 fi;
 
+dfp=`if test $enable_decimal_float != no; then echo 1; else echo 0; fi`
 
+cat >>confdefs.h <<_ACEOF
+#define ENABLE_DECIMAL_FLOAT $dfp
+_ACEOF
 
-dfp=`if test $enable_decimal_float = yes; then echo 1; else echo 0; fi`
+
+# x86's use BID format instead of DPD
+case x$enable_decimal_float in
+  xyes)
+    case $target in
+      i?86*-*-linux* | x86_64*-*-linux*)
+       enable_decimal_float=bid
+       ;;
+      *)
+       enable_decimal_float=dpd
+       ;;
+    esac
+    ;;
+  xno)
+    # ENABLE_DECIMAL_FLOAT is set to 0. But we have to have proper
+    # dependency on libdecnumber.
+    enable_decimal_float=dpd
+    ;;
+esac
+
+
+bid=`if test $enable_decimal_float = bid; then echo 1; else echo 0; fi`
 
 cat >>confdefs.h <<_ACEOF
-#define ENABLE_DECIMAL_FLOAT $dfp
+#define ENABLE_DECIMAL_BID_FORMAT $bid
 _ACEOF
 
 
@@ -7630,7 +7665,7 @@ if test "${gcc_cv_prog_makeinfo_modern+set}" = set; then
 else
     ac_prog_version=`$MAKEINFO --version 2>&1 |
                    sed -n 's/^.*GNU texinfo.* \([0-9][0-9.]*\).*$/\1/p'`
-  echo "configure:7633: version of makeinfo is $ac_prog_version" >&5
+  echo "configure:7668: version of makeinfo is $ac_prog_version" >&5
   case $ac_prog_version in
     '')     gcc_cv_prog_makeinfo_modern=no;;
     4.[4-9]*)
index f3a6236..226b62a 100644 (file)
@@ -667,27 +667,58 @@ AC_ARG_ENABLE(__cxa_atexit,
 
 # Enable C extension for decimal float if target supports it.
 AC_ARG_ENABLE(decimal-float,
-[  --enable-decimal-float  enable decimal float extension to C],
+[  --enable-decimal-float={no,yes,bid,dpd}
+                       enable decimal float extension to C.  Selecting 'bid'
+                       or 'dpd' choses which decimal floating point format
+                       to use],
 [
-  if test x$enablevar = xyes ; then
-    case $target in
-    powerpc*-*-linux* | i?86*-*-linux*)
+  case $enable_decimal_float in
+    yes | no | bid | dpd) ;;
+    *) AC_MSG_ERROR(['$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'.]) ;;
+  esac
+],
+[
+  case $target in
+    powerpc*-*-linux* | i?86*-*-linux* | x86_64*-*-linux*)
       enable_decimal_float=yes
       ;;
     *)
       AC_MSG_WARN(decimal float is not supported for this target, ignored)
       enable_decimal_float=no
       ;;
-    esac
-  fi
-], [enable_decimal_float=no])
-
-AC_SUBST(enable_decimal_float)
+  esac
+])
 
-dfp=`if test $enable_decimal_float = yes; then echo 1; else echo 0; fi`
+dfp=`if test $enable_decimal_float != no; then echo 1; else echo 0; fi`
 AC_DEFINE_UNQUOTED(ENABLE_DECIMAL_FLOAT, $dfp,
 [Define to 1 to enable decimal float extension to C.])
 
+# x86's use BID format instead of DPD
+case x$enable_decimal_float in
+  xyes)
+    case $target in
+      i?86*-*-linux* | x86_64*-*-linux*)
+       enable_decimal_float=bid
+       ;;
+      *)
+       enable_decimal_float=dpd
+       ;;
+    esac
+    ;;
+  xno)
+    # ENABLE_DECIMAL_FLOAT is set to 0. But we have to have proper
+    # dependency on libdecnumber.
+    enable_decimal_float=dpd
+    ;;
+esac
+AC_SUBST(enable_decimal_float)
+
+bid=`if test $enable_decimal_float = bid; then echo 1; else echo 0; fi`
+AC_DEFINE_UNQUOTED(ENABLE_DECIMAL_BID_FORMAT, $bid,
+[Define to 1 to specify that we are using the BID decimal floating
+point format instead of DPD])
+
 # Enable threads
 # Pass with no value to take the default
 # Pass with a value to specify a thread package
index b388f93..c15afa9 100644 (file)
--- a/gcc/dfp.c
+++ b/gcc/dfp.c
@@ -1,5 +1,5 @@
 /* Decimal floating point support.
-   Copyright (C) 2005, 2006 Free Software Foundation, Inc.
+   Copyright (C) 2005, 2006, 2007 Free Software Foundation, Inc.
 
 This file is part of GCC.
 
@@ -656,11 +656,9 @@ decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,
 
     case NEGATE_EXPR:
       {
-       decimal128 *d128;
        *r = *op0;
-       d128 = (decimal128 *) r->sig;
-       /* Flip high bit.  */
-       d128->bytes[0] ^= 1 << 7;
+       /* Flip sign bit.  */
+       decimal128FlipSign ((decimal128 *) r->sig);
        /* Keep sign field in sync.  */
        r->sign ^= 1;
       }
@@ -668,11 +666,9 @@ decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,
 
     case ABS_EXPR:
       {
-        decimal128 *d128;
         *r = *op0;
-        d128 = (decimal128 *) r->sig;
-       /* Clear high bit.  */
-        d128->bytes[0] &= 0x7f;
+       /* Clear sign bit.  */
+       decimal128ClearSign ((decimal128 *) r->sig);
        /* Keep sign field in sync.  */
        r->sign = 0;
       }
@@ -712,5 +708,5 @@ decimal_real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
 
   decimal_real_from_string (r, max);
   if (sign)
-    r->sig[0] |= 0x80000000;
+    decimal128SetSign ((decimal128 *) r->sig, 1);
 }
index 569a399..76545c0 100644 (file)
@@ -1304,11 +1304,20 @@ is removed entirely in the next major release, unless someone steps
 forward to maintain the port.
 
 @item --enable-decimal-float
+@itemx --enable-decimal-float=yes
+@itemx --enable-decimal-float=no
+@itemx --enable-decimal-float=bid
+@itemx --enable-decimal-float=dpd
 @itemx --disable-decimal-float
-Enable (or disable) support for the C decimal floating point
-extension.  This is enabled by default only on PowerPC GNU/Linux
-systems.  Other systems may also support it, but require the user to
-specifically enable it.
+Enable (or disable) support for the C decimal floating point extension
+that is in the IEEE 754R extension to the IEEE754 floating point
+standard.  This is enabled by default only on PowerPC, i386, and
+x86_64 GNU/Linux systems.  Other systems may also support it, but
+require the user to specifically enable it.  You can optionally
+control which decimal floating point format is used (either @samp{bid}
+or @samp{dpd}).  The @samp{bid} (binary integer decimal) format is
+default on i386 and x86_64 systems, and the @samp{dpd} (densely packed
+decimal) format is default on PowerPC systems.
 
 @item --with-long-double-128
 Specify if @code{long double} type should be 128-bit by default on selected
index 51c84c8..94e3691 100644 (file)
@@ -130,6 +130,14 @@ static rtx vector_compare_rtx (tree, bool, enum insn_code);
 #define HAVE_conditional_trap 0
 #define gen_conditional_trap(a,b) (gcc_unreachable (), NULL_RTX)
 #endif
+
+/* Prefixes for the current version of decimal floating point (BID vs. DPD) */
+#if ENABLE_DECIMAL_BID_FORMAT
+#define DECIMAL_PREFIX "bid_"
+#else
+#define DECIMAL_PREFIX "dpd_"
+#endif
+
 \f
 /* Add a REG_EQUAL note to the last insn in INSNS.  TARGET is being set to
    the result of operation CODE applied to OP0 (and OP1 if it is a binary
@@ -5177,9 +5185,16 @@ init_integral_libfuncs (optab optable, const char *opname, int suffix)
 static void
 init_floating_libfuncs (optab optable, const char *opname, int suffix)
 {
+  char *dec_opname = alloca (sizeof (DECIMAL_PREFIX) + strlen (opname));
+
+  /* For BID support, change the name to have either a bid_ or dpd_ prefix
+     depending on the low level floating format used.  */
+  memcpy (dec_opname, DECIMAL_PREFIX, sizeof (DECIMAL_PREFIX) - 1);
+  strcpy (dec_opname + sizeof (DECIMAL_PREFIX) - 1, opname);
+
   init_libfuncs (optable, MIN_MODE_FLOAT, MAX_MODE_FLOAT, opname, suffix);
   init_libfuncs (optable, MIN_MODE_DECIMAL_FLOAT, MAX_MODE_DECIMAL_FLOAT,
-                opname, suffix);
+                dec_opname, suffix);
 }
 
 /* Initialize the libfunc fields of an entire group of entries of an
@@ -5201,8 +5216,13 @@ init_interclass_conv_libfuncs (convert_optab tab, const char *opname,
   const char *fname, *tname;
   const char *q;
   char *libfunc_name, *suffix;
+  char *nondec_name, *dec_name, *nondec_suffix, *dec_suffix;
   char *p;
 
+  /* If this is a decimal conversion, add the current BID vs. DPD prefix that
+     depends on which underlying decimal floating point format is used.  */
+  const size_t dec_len = sizeof (DECIMAL_PREFIX) - 1;
+
   for (fmode = first_from_mode;
        fmode != VOIDmode;
        fmode = GET_MODE_WIDER_MODE (fmode))
@@ -5213,11 +5233,18 @@ init_interclass_conv_libfuncs (convert_optab tab, const char *opname,
        tmode = GET_MODE_WIDER_MODE (tmode))
     max_mname_len = MAX (max_mname_len, strlen (GET_MODE_NAME (tmode)));
 
-  libfunc_name = alloca (2 + opname_len + 2*max_mname_len + 1 + 1);
-  libfunc_name[0] = '_';
-  libfunc_name[1] = '_';
-  memcpy (&libfunc_name[2], opname, opname_len);
-  suffix = libfunc_name + opname_len + 2;
+  nondec_name = alloca (2 + opname_len + 2*max_mname_len + 1 + 1);
+  nondec_name[0] = '_';
+  nondec_name[1] = '_';
+  memcpy (&nondec_name[2], opname, opname_len);
+  nondec_suffix = nondec_name + opname_len + 2;
+
+  dec_name = alloca (2 + dec_len + opname_len + 2*max_mname_len + 1 + 1);
+  dec_name[0] = '_';
+  dec_name[1] = '_';
+  memcpy (&dec_name[2], DECIMAL_PREFIX, dec_len);
+  memcpy (&dec_name[2+dec_len], opname, opname_len);
+  dec_suffix = dec_name + dec_len + opname_len + 2;
 
   for (fmode = first_from_mode; fmode != VOIDmode;
        fmode = GET_MODE_WIDER_MODE (fmode))
@@ -5227,6 +5254,17 @@ init_interclass_conv_libfuncs (convert_optab tab, const char *opname,
        fname = GET_MODE_NAME (fmode);
        tname = GET_MODE_NAME (tmode);
 
+       if (DECIMAL_FLOAT_MODE_P(fmode) || DECIMAL_FLOAT_MODE_P(tmode))
+         {
+           libfunc_name = dec_name;
+           suffix = dec_suffix;
+         }
+       else
+         {
+           libfunc_name = nondec_name;
+           suffix = nondec_suffix;
+         }
+
        p = suffix;
        for (q = fname; *q; p++, q++)
          *p = TOLOWER (*q);
@@ -5257,18 +5295,30 @@ init_intraclass_conv_libfuncs (convert_optab tab, const char *opname,
   enum machine_mode nmode, wmode;
   const char *nname, *wname;
   const char *q;
+  char *nondec_name, *dec_name, *nondec_suffix, *dec_suffix;
   char *libfunc_name, *suffix;
   char *p;
 
+  /* If this is a decimal conversion, add the current BID vs. DPD prefix that
+     depends on which underlying decimal floating point format is used.  */
+  const size_t dec_len = sizeof (DECIMAL_PREFIX) - 1;
+
   for (nmode = first_mode; nmode != VOIDmode;
        nmode = GET_MODE_WIDER_MODE (nmode))
     max_mname_len = MAX (max_mname_len, strlen (GET_MODE_NAME (nmode)));
 
-  libfunc_name = alloca (2 + opname_len + 2*max_mname_len + 1 + 1);
-  libfunc_name[0] = '_';
-  libfunc_name[1] = '_';
-  memcpy (&libfunc_name[2], opname, opname_len);
-  suffix = libfunc_name + opname_len + 2;
+  nondec_name = alloca (2 + opname_len + 2*max_mname_len + 1 + 1);
+  nondec_name[0] = '_';
+  nondec_name[1] = '_';
+  memcpy (&nondec_name[2], opname, opname_len);
+  nondec_suffix = nondec_name + opname_len + 2;
+
+  dec_name = alloca (2 + dec_len + opname_len + 2*max_mname_len + 1 + 1);
+  dec_name[0] = '_';
+  dec_name[1] = '_';
+  memcpy (&dec_name[2], DECIMAL_PREFIX, dec_len);
+  memcpy (&dec_name[2 + dec_len], opname, opname_len);
+  dec_suffix = dec_name + dec_len + opname_len + 2;
 
   for (nmode = first_mode; nmode != VOIDmode;
        nmode = GET_MODE_WIDER_MODE (nmode))
@@ -5278,6 +5328,17 @@ init_intraclass_conv_libfuncs (convert_optab tab, const char *opname,
        nname = GET_MODE_NAME (nmode);
        wname = GET_MODE_NAME (wmode);
 
+       if (DECIMAL_FLOAT_MODE_P(nmode) || DECIMAL_FLOAT_MODE_P(wmode))
+         {
+           libfunc_name = dec_name;
+           suffix = dec_suffix;
+         }
+       else
+         {
+           libfunc_name = nondec_name;
+           suffix = nondec_suffix;
+         }
+
        p = suffix;
        for (q = widening ? nname : wname; *q; p++, q++)
          *p = TOLOWER (*q);
index b5049ac..39365b7 100644 (file)
@@ -1,3 +1,10 @@
+2007-03-23  Michael Meissner  <michael.meissner@amd.com>
+
+       * gcc.dg/dfp/convert-dfp.c: Wrap __STDC_WANT_DEC_FP__ with
+       #ifndef/#endif.
+       * gcc.dg/dfp/convert-int-saturate.c: Ditto.
+       * gcc.dg/dfp/decfloat-constants.c: Ditto.
+
 2007-03-24  Paul Thomas  <pault@gcc.gnu.org>
 
        PR fortran/31209
index 5afdcf0..b84e67d 100644 (file)
@@ -6,7 +6,10 @@
 
    Test various conversions involving decimal floating types. */
 
+#ifndef        __STDC_WANT_DEC_FP__
 #define __STDC_WANT_DEC_FP__ 1
+#endif
+
 #include <float.h>
 
 extern void abort (void);
index aeaa465..ab4c8d2 100644 (file)
@@ -4,7 +4,10 @@
    C99 6.3.1.4(1a) New.
    Test integer saturation.  */
 
+#ifndef        __STDC_WANT_DEC_FP__
 #define __STDC_WANT_DEC_FP__ 1
+#endif
+
 #include <float.h>
 #include <limits.h>
 
index 4980c65..87c9849 100644 (file)
@@ -7,7 +7,10 @@
    decimal float defined in float.h.  */
 
 /* Make sure we are exporting the right values to float.h. */
+#ifndef        __STDC_WANT_DEC_FP__
 #define __STDC_WANT_DEC_FP__ 1
+#endif
+
 #include <float.h>
 
 extern void abort (void);
index 5f84c40..fff1fb3 100644 (file)
@@ -1,3 +1,60 @@
+2007-03-23  Michael Meissner  <michael.meissner@amd.com>
+           H.J. Lu  <hongjiu.lu@intel.com>
+           Marius Cornea  <marius.cornea@intel.com>
+
+       * Makefile.in (enable_decimal_float): New.
+       (libdecnumber_a_OBJS): Add bid2dpd_dpd2bid.o, host-ieee32.o,
+       host-ieee64.o and host-ieee128.o for BID.
+       (libdecnumber_a_SOURCES): Support DPD and BID.
+       (decimal32.o): Support dependency for both DPD and BID.
+       (decimal64.o): Likewise.
+       (decimal128.o): Likewise.
+       (bid2dpd_dpd2bid.o): New target.
+       (host-ieee32.o): Likewise.
+       (host-ieee64.o): Likewise.
+       (host-ieee128.o): Likewise.
+
+       * bid/bid-dpd.h: New file.
+       * bid/decimal128.c: Likewise.
+       * bid/decimal128.h: Likewise.
+       * bid/decimal32.c: Likewise.
+       * bid/decimal32.h: Likewise.
+       * bid/decimal64.c: Likewise.
+       * bid/decimal64.h: Likewise.
+       * bid/host-ieee128.c: Likewise.
+       * bid/host-ieee32.c: Likewise.
+       * bid/host-ieee64.c: Likewise.
+       * bid/bid2dpd_dpd2bid.c: Likewise.
+       * bid/bid2dpd_dpd2bid.h: Likewise.
+
+       * decimal128.c: Moved to ...
+       * dpd/decimal128.c: This.
+       * decimal128.h:  Moved to ...
+       * dpd/decimal128.h: This.
+       * decimal32.c: Moved to ...
+       * dpd/decimal32.c: This.
+       * decimal32.h: Moved to ...
+       * dpd/decimal32.h: This.
+       * decimal64.c: Moved to ...
+       * dpd/decimal64.c: This.
+       * decimal64.h: Moved to ...
+       * dpd/decimal64.h: This.
+
+       * configure.ac: Support * --enable-decimal-float={no,yes,bid,dpd}.
+       Add AC_C_BIGENDIAN.  Substitute enable_decimal_float.
+       * config.in: Add decimal support variables.
+       * configure: Regenerate.
+
+       PR other/30530
+       * decimal128.h (decimal128ClearSign): New.
+       (decimal128FlipSign): Likewise.
+
+       * decimal32.h: (decimal32ClearSign): New.
+       (decimal32FlipSign): Likewise.
+
+       * decimal64.h (decimal64ClearSign): New.
+       (decimal64FlipSign): Likewise.
+
 2007-03-08  Ben Elliston  <bje@au.ibm.com>
 
        * decContext.c, decContext.h, decDPD.h, decimal128.c,
index 899a1b5..caa5f7d 100644 (file)
@@ -1,7 +1,7 @@
 # @configure_input@
 # Makefile for libdecnumber.  Run 'configure' to generate Makefile from Makefile.in
 
-# Copyright (C) 2005 Free Software Foundation, Inc.
+# Copyright (C) 2005, 2007 Free Software Foundation, Inc.
 
 #This file is part of GCC.
 
@@ -50,6 +50,8 @@ libdir = @libdir@
 localedir = $(datadir)/locale
 prefix = @prefix@
 
+enable_decimal_float= @enable_decimal_float@
+
 INCLUDES = -I$(srcdir) -I.
 
 ALL_CFLAGS = $(CFLAGS) $(WARN_CFLAGS) $(INCLUDES) $(CPPFLAGS)
@@ -57,11 +59,20 @@ ALL_CFLAGS = $(CFLAGS) $(WARN_CFLAGS) $(INCLUDES) $(CPPFLAGS)
 libdecnumber_a_OBJS = decNumber.o decContext.o decUtility.o \
        decimal32.o decimal64.o decimal128.o
 
+ifeq ($(enable_decimal_float),bid)
+libdecnumber_a_OBJS+=bid2dpd_dpd2bid.o host-ieee32.o host-ieee64.o \
+       host-ieee128.o
+endif
+
 libdecnumber_a_SOURCES = decContext.c decContext.h decDPD.h \
        decNumber.c decNumber.h decNumberLocal.h \
        decUtility.c decUtility.h \
-       decimal128.c decimal128.h decimal32.c decimal32.h \
-       decimal64.c decimal64.h
+       dpd/decimal128.c dpd/decimal128.h \
+       dpd/decimal32.c dpd/decimal32.h \
+       dpd/decimal64.c dpd/decimal64.h \
+       bid/decimal128.c bid/decimal128.h \
+       bid/decimal32.c bid/decimal32.h \
+       bid/decimal64.c bid/decimal64.h
 
 all: libdecnumber.a
 
@@ -104,13 +115,26 @@ $(srcdir)/config.in: @MAINT@ $(srcdir)/configure
 
 decContext.o: decContext.c decContext.h decNumberLocal.h
 decNumber.o:  decNumber.c decNumber.h decContext.h decNumberLocal.h
-decimal32.o:  decimal32.c decNumber.h decContext.h decNumberLocal.h \
-   decimal32.h decUtility.h
-decimal64.o:  decimal64.c decNumber.h decContext.h decNumberLocal.h \
-   decimal64.h decUtility.h
-decimal128.o: decimal128.c decNumber.h decNumberLocal.h decimal128.h \
-   decUtility.h
-
+decimal32.o:  $(enable_decimal_float)/decimal32.c \
+   $(enable_decimal_float)/decimal32.h \
+   decNumber.h decContext.h decNumberLocal.h decUtility.h
+       $(COMPILE) $<
+decimal64.o:  $(enable_decimal_float)/decimal64.c \
+   $(enable_decimal_float)/decimal64.h \
+   decNumber.h decContext.h decNumberLocal.h decUtility.h
+       $(COMPILE) $<
+decimal128.o:  $(enable_decimal_float)/decimal128.c \
+   $(enable_decimal_float)/decimal128.h \
+   decNumber.h decContext.h decNumberLocal.h decUtility.h
+       $(COMPILE) $<
+bid2dpd_dpd2bid.o : bid/bid2dpd_dpd2bid.c bid/bid2dpd_dpd2bid.h
+       $(COMPILE) $<
+host-ieee32.o : bid/host-ieee32.c bid/decimal32.h
+       $(COMPILE) $<
+host-ieee64.o : bid/host-ieee64.c bid/decimal64.h
+       $(COMPILE) $<
+host-ieee128.o : bid/host-ieee128.c bid/decimal128.h
+       $(COMPILE) $<
 # Other miscellaneous targets.
 
 mostlyclean:
diff --git a/libdecnumber/bid/bid-dpd.h b/libdecnumber/bid/bid-dpd.h
new file mode 100644 (file)
index 0000000..d8bf327
--- /dev/null
@@ -0,0 +1,43 @@
+/* Copyright (C) 2007
+   Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+/* As a special exception, if you link this library with other files,
+   some of which are compiled with GCC, to produce an executable,
+   this library does not by itself cause the resulting executable
+   to be covered by the GNU General Public License.
+   This exception does not however invalidate any other reasons why
+   the executable file might be covered by the GNU General Public License.  */
+
+typedef unsigned int UINT32;
+typedef unsigned long long UINT64;
+typedef struct { UINT64 w[2]; } UINT128;
+
+#ifndef IN_LIBGCC2
+#define _Decimal32 UINT32
+#define _Decimal64 UINT64
+#define _Decimal128 UINT128
+#endif
+
+void _bid_to_dpd32 (_Decimal32 *, _Decimal32 *);
+void _dpd_to_bid32 (_Decimal32 *, _Decimal32 *);
+void _bid_to_dpd64 (_Decimal64 *, _Decimal64 *);
+void _dpd_to_bid64 (_Decimal64 *, _Decimal64 *);
+void _bid_to_dpd128 (_Decimal128 *, _Decimal128 *);
+void _dpd_to_bid128 (_Decimal128 *, _Decimal128 *);
diff --git a/libdecnumber/bid/bid2dpd_dpd2bid.c b/libdecnumber/bid/bid2dpd_dpd2bid.c
new file mode 100644 (file)
index 0000000..01e83bc
--- /dev/null
@@ -0,0 +1,428 @@
+/* Copyright (C) 2007  Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file.  (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+#undef IN_LIBGCC2
+#include "bid-dpd.h"
+
+/* get full 64x64bit product */
+#define __mul_64x64_to_128(P, CX, CY)             \
+{                                                 \
+  UINT64 CXH, CXL, CYH,CYL,PL,PH,PM,PM2;  \
+  CXH = (CX) >> 32;                               \
+  CXL = (UINT32)(CX);                             \
+  CYH = (CY) >> 32;                               \
+  CYL = (UINT32)(CY);                             \
+                                                  \
+  PM = CXH*CYL;                                   \
+  PH = CXH*CYH;                                   \
+  PL = CXL*CYL;                                   \
+  PM2 = CXL*CYH;                                  \
+  PH += (PM>>32);                                 \
+  PM = (UINT64)((UINT32)PM)+PM2+(PL>>32);         \
+                                                  \
+  (P).w[1] = PH + (PM>>32);                       \
+  (P).w[0] = (PM<<32)+(UINT32)PL;                 \
+}
+
+/* add 64-bit value to 128-bit */
+#define __add_128_64(R128, A128, B64)             \
+{                                                 \
+  UINT64 R64H;                                    \
+  R64H = (A128).w[1];                             \
+  (R128).w[0] = (B64) + (A128).w[0];              \
+  if((R128).w[0] < (B64)) R64H ++;                \
+  (R128).w[1] = R64H;                             \
+}
+
+/* add 128-bit value to 128-bit (assume no carry-out) */
+#define __add_128_128(R128, A128, B128)           \
+{                                                 \
+  UINT128 Q128;                                   \
+  Q128.w[1] = (A128).w[1]+(B128).w[1];            \
+  Q128.w[0] = (B128).w[0] + (A128).w[0];          \
+  if(Q128.w[0] < (B128).w[0]) Q128.w[1] ++;       \
+  (R128).w[1] = Q128.w[1];                        \
+  (R128).w[0] = Q128.w[0];                        \
+}
+
+#define __mul_128x128_high(Q, A, B)               \
+{                                                 \
+  UINT128 ALBL, ALBH, AHBL, AHBH, QM, QM2;        \
+                                                  \
+  __mul_64x64_to_128(ALBH, (A).w[0], (B).w[1]);   \
+  __mul_64x64_to_128(AHBL, (B).w[0], (A).w[1]);   \
+  __mul_64x64_to_128(ALBL, (A).w[0], (B).w[0]);   \
+  __mul_64x64_to_128(AHBH, (A).w[1],(B).w[1]);    \
+                                                  \
+  __add_128_128(QM, ALBH, AHBL);                  \
+  __add_128_64(QM2, QM, ALBL.w[1]);               \
+  __add_128_64((Q), AHBH, QM2.w[1]);              \
+}
+
+#include "bid2dpd_dpd2bid.h"
+
+static const unsigned int dm103[] =
+  { 0, 1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 11000 };
+
+void _bid_to_dpd32 (_Decimal32 *, _Decimal32 *);
+
+void
+_bid_to_dpd32 (_Decimal32 *pres, _Decimal32 *px) {
+  unsigned int sign, coefficient_x, exp, dcoeff;
+  unsigned int b2, b1, b0, b01, res;
+  _Decimal32 x = *px;
+
+  sign = (x & 0x80000000);
+  if ((x & 0x60000000ul) == 0x60000000ul) {
+    /* special encodings */
+    if ((x & 0x78000000ul) == 0x78000000ul) {
+      *pres = x; /* NaN or Infinity */
+      return;
+    }
+    /* coefficient */
+    coefficient_x = (x & 0x001ffffful) | 0x00800000ul;
+    if (coefficient_x >= 10000000) coefficient_x = 0;
+    /* get exponent */
+    exp = (x >> 21) & 0xff;
+  } else {
+    exp = (x >> 23) & 0xff;
+    coefficient_x = (x & 0x007ffffful);
+  }
+  b01 = coefficient_x / 1000;
+  b2 = coefficient_x - 1000 * b01;
+  b0 = b01 / 1000;
+  b1 = b01 - 1000 * b0;
+  dcoeff = b2d[b2] | b2d2[b1];
+  if (b0 >= 8) { /* is b0 8 or 9? */
+    res = sign | ((0x600 | ((exp >> 6) << 7) | 
+        ((b0 & 1) << 6) | (exp & 0x3f)) << 20) | dcoeff;
+  } else { /* else b0 is 0..7 */
+    res = sign | ((((exp >> 6) << 9) | (b0 << 6) | 
+        (exp & 0x3f)) << 20) | dcoeff;
+  }
+  *pres = res;
+}
+
+void _dpd_to_bid32 (_Decimal32 *, _Decimal32 *);
+
+void
+_dpd_to_bid32 (_Decimal32 *pres, _Decimal32 *px) {
+  unsigned int r;
+  unsigned int sign, exp, bcoeff;
+  UINT64 trailing;
+  unsigned int d0, d1, d2;
+  _Decimal32 x = *px;
+
+  sign = (x & 0x80000000);
+  trailing = (x & 0x000fffff);
+  if ((x & 0x78000000) == 0x78000000) {
+    *pres = x;
+    return;
+  } else { /* normal number */
+    if ((x & 0x60000000) == 0x60000000) { /* G0..G1 = 11 -> d0 = 8 + G4 */
+      d0 = d2b3[((x >> 26) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */
+      exp = (x >> 27) & 3; /* exp leading bits are G2..G3 */
+    } else {
+      d0 = d2b3[(x >> 26) & 0x7];
+      exp = (x >> 29) & 3; /* exp loading bits are G0..G1 */
+    }
+    d1 = d2b2[(trailing >> 10) & 0x3ff];
+    d2 = d2b[(trailing) & 0x3ff];
+    bcoeff = d2 + d1 + d0;
+    exp = (exp << 6) + ((x >> 20) & 0x3f);
+    if (bcoeff < (1 << 23)) {
+      r = exp;
+      r <<= 23;
+      r |= (bcoeff | sign);
+    } else {
+      r = exp;
+      r <<= 21;
+      r |= (sign | 0x60000000ul);
+      /* add coeff, without leading bits */
+      r |= (((unsigned int) bcoeff) & 0x1fffff);
+    }
+  }
+  *pres = r;
+}
+
+void _bid_to_dpd64 (_Decimal64 *, _Decimal64 *);
+
+void
+_bid_to_dpd64 (_Decimal64 *pres, _Decimal64 *px) {
+  UINT64 res;
+  UINT64 sign, comb, exp, B34, B01;
+  UINT64 d103, D61;
+  UINT64 b0, b2, b3, b5;
+  unsigned int b1, b4;
+  UINT64 bcoeff;
+  UINT64 dcoeff;
+  unsigned int yhi, ylo;
+  _Decimal64 x = *px;
+
+  sign = (x & 0x8000000000000000ull);
+  comb = (x & 0x7ffc000000000000ull) >> 51;
+  if ((comb & 0xf00) == 0xf00) {
+    *pres = x;
+    return;
+  } else { /* Normal number */
+    if ((comb & 0xc00) == 0xc00) { /* G0..G1 = 11 -> exp is G2..G11 */
+      exp = (comb) & 0x3ff;
+      bcoeff = (x & 0x0007ffffffffffffull) | 0x0020000000000000ull;
+    } else {
+      exp = (comb >> 2) & 0x3ff;
+      bcoeff = (x & 0x001fffffffffffffull);
+    }
+    D61 = 2305843009ull; /* Floor(2^61 / 10^9) */
+    /* Multiply the binary coefficient by ceil(2^64 / 1000), and take the upper
+       64-bits in order to compute a division by 1000. */
+    yhi = (D61 * (UINT64)(bcoeff >> (UINT64)27)) >> (UINT64)34;
+    ylo = bcoeff - 1000000000ull * yhi;
+    if (ylo >= 1000000000) {
+      ylo = ylo - 1000000000;
+      yhi = yhi + 1;
+    }
+    d103 = 0x4189374c;
+    B34 = ((UINT64) ylo * d103) >> (32 + 8);
+    B01 = ((UINT64) yhi * d103) >> (32 + 8);
+    b5 = ylo - B34 * 1000;
+    b2 = yhi - B01 * 1000;
+    b3 = ((UINT64) B34 * d103) >> (32 + 8);
+    b0 = ((UINT64) B01 * d103) >> (32 + 8);
+    b4 = (unsigned int) B34 - (unsigned int) b3 *1000;
+    b1 = (unsigned int) B01 - (unsigned int) dm103[b0];
+    dcoeff = b2d[b5] | b2d2[b4] | b2d3[b3] | b2d4[b2] | b2d5[b1];
+    if (b0 >= 8) /* is b0 8 or 9? */
+      res = sign | ((0x1800 | ((exp >> 8) << 9) | ((b0 & 1) << 8) | 
+          (exp & 0xff)) << 50) | dcoeff;
+    else /* else b0 is 0..7 */
+      res = sign | ((((exp >> 8) << 11) | (b0 << 8) | 
+          (exp & 0xff)) << 50) | dcoeff;
+  }
+  *pres = res;
+}
+
+void _dpd_to_bid64 (_Decimal64 *, _Decimal64 *);
+
+void
+_dpd_to_bid64 (_Decimal64 *pres, _Decimal64 *px) {
+  UINT64 res;
+  UINT64 sign, comb, exp;
+  UINT64 trailing;
+  UINT64 d0, d1, d2;
+  unsigned int d3, d4, d5;
+  UINT64 bcoeff, mask;
+  _Decimal64 x = *px;
+
+  sign = (x & 0x8000000000000000ull);
+  comb = (x & 0x7ffc000000000000ull) >> 50;
+  trailing = (x & 0x0003ffffffffffffull);
+  if ((comb & 0x1e00) == 0x1e00) {
+    if ((comb & 0x1f00) == 0x1f00) { /* G0..G4 = 11111 -> NaN */
+      if (comb & 0x0100) { /* G5 = 1 -> sNaN */
+        *pres = x;
+      } else { /* G5 = 0 -> qNaN */
+        *pres = x;
+      }
+    } else { /*if ((comb & 0x1e00) == 0x1e00); G0..G4 = 11110 -> INF */
+      *pres = x;
+    }
+    return;
+  } else { /* normal number */
+    if ((comb & 0x1800) == 0x1800) { /* G0..G1 = 11 -> d0 = 8 + G4 */
+      d0 = d2b6[((comb >> 8) & 1) | 8]; /* d0 = (comb & 0x0100 ? 9 : 8); */
+      exp = (comb & 0x600) >> 1; /* exp = (comb & 0x0400 ? 1 : 0) * 0x200 + 
+          (comb & 0x0200 ? 1 : 0) * 0x100; exp leading bits are G2..G3 */
+    } else {
+      d0 = d2b6[(comb >> 8) & 0x7];
+      exp = (comb & 0x1800) >> 3; /* exp = (comb & 0x1000 ? 1 : 0) * 0x200 + 
+          (comb & 0x0800 ? 1 : 0) * 0x100; exp loading bits are G0..G1 */
+    }
+    d1 = d2b5[(trailing >> 40) & 0x3ff];
+    d2 = d2b4[(trailing >> 30) & 0x3ff];
+    d3 = d2b3[(trailing >> 20) & 0x3ff];
+    d4 = d2b2[(trailing >> 10) & 0x3ff];
+    d5 = d2b[(trailing) & 0x3ff];
+    bcoeff = (d5 + d4 + d3) + d2 + d1 + d0;
+    exp += (comb & 0xff);
+    mask = 1;
+    mask <<= 53;
+    if (bcoeff < mask) { /* check whether coefficient fits in 10*5+3 bits */
+      res = exp;
+      res <<= 53;
+      res |= (bcoeff | sign);
+      *pres = res;
+      return;
+    }
+    /* special format */
+    res = (exp << 51) | (sign | 0x6000000000000000ull);
+    /* add coeff, without leading bits */
+    mask = (mask >> 2) - 1;
+    bcoeff &= mask;
+    res |= bcoeff;
+  }
+  *pres = res;
+}
+
+void _bid_to_dpd128 (_Decimal128 *, _Decimal128 *);
+
+void
+_bid_to_dpd128 (_Decimal128 *pres, _Decimal128 *px) {
+  UINT128 res;
+  UINT128 sign;
+  unsigned int comb;
+  UINT128 bcoeff;
+  UINT128 dcoeff;
+  UINT128 BH, d1018, BT2, BT1;
+  UINT64 exp, BL, d109;
+  UINT64 d106, d103;
+  UINT64 k1, k2, k4, k5, k7, k8, k10, k11;
+  unsigned int BHH32, BLL32, BHL32, BLH32, k0, k3, k6, k9, amount;
+  _Decimal128 x = *px;
+
+  sign.w[1] = (x.w[1] & 0x8000000000000000ull);
+  sign.w[0] = 0;
+  comb = (x.w[1] /*& 0x7fffc00000000000ull */ ) >> 46;
+  exp = 0;
+  if ((comb & 0x1e000) == 0x1e000) {
+    if ((comb & 0x1f000) == 0x1f000) { /* G0..G4 = 11111 -> NaN */
+      if (comb & 0x01000) { /* G5 = 1 -> sNaN */
+        res = x;
+      } else { /* G5 = 0 -> qNaN */
+        res = x;
+      }
+    } else { /* G0..G4 = 11110 -> INF */
+      res = x;
+    }
+  } else { /* normal number */
+    exp = ((x.w[1] & 0x7fff000000000000ull) >> 49) & 0x3fff;
+    bcoeff.w[1] = (x.w[1] & 0x0001ffffffffffffull);
+    bcoeff.w[0] = x.w[0];
+    d1018 = reciprocals10_128[18];
+    __mul_128x128_high (BH, bcoeff, d1018);
+    amount = recip_scale[18];
+    BH.w[0] = (BH.w[0] >> amount) | (BH.w[1] << (64 - amount));
+    BL = bcoeff.w[0] - BH.w[0] * 1000000000000000000ull;
+    d109 = reciprocals10_64[9];
+    __mul_64x64_to_128 (BT1, BH.w[0], d109);
+    BHH32 = (unsigned int) (BT1.w[1] >> short_recip_scale[9]);
+    BHL32 = (unsigned int) BH.w[0] - BHH32 * 1000000000;
+    __mul_64x64_to_128 (BT2, BL, d109);
+    BLH32 = (unsigned int) (BT2.w[1] >> short_recip_scale[9]);
+    BLL32 = (unsigned int) BL - BLH32 * 1000000000;
+    d106 = 0x431BDE83;
+    d103 = 0x4189374c;
+    k0 = ((UINT64) BHH32 * d106) >> (32 + 18);
+    BHH32 -= (unsigned int) k0 *1000000;
+    k1 = ((UINT64) BHH32 * d103) >> (32 + 8);
+    k2 = BHH32 - (unsigned int) k1 *1000;
+    k3 = ((UINT64) BHL32 * d106) >> (32 + 18);
+    BHL32 -= (unsigned int) k3 *1000000;
+    k4 = ((UINT64) BHL32 * d103) >> (32 + 8);
+    k5 = BHL32 - (unsigned int) k4 *1000;
+    k6 = ((UINT64) BLH32 * d106) >> (32 + 18);
+    BLH32 -= (unsigned int) k6 *1000000;
+    k7 = ((UINT64) BLH32 * d103) >> (32 + 8);
+    k8 = BLH32 - (unsigned int) k7 *1000;
+    k9 = ((UINT64) BLL32 * d106) >> (32 + 18);
+    BLL32 -= (unsigned int) k9 *1000000;
+    k10 = ((UINT64) BLL32 * d103) >> (32 + 8);
+    k11 = BLL32 - (unsigned int) k10 *1000;
+    dcoeff.w[1] = (b2d[k5] >> 4) | (b2d[k4] << 6) | (b2d[k3] << 16) | 
+        (b2d[k2] << 26) | (b2d[k1] << 36);
+    dcoeff.w[0] = b2d[k11] | (b2d[k10] << 10) | (b2d[k9] << 20) | 
+        (b2d[k8] << 30) | (b2d[k7] << 40) | (b2d[k6] << 50) | (b2d[k5] << 60);
+    res.w[0] = dcoeff.w[0];
+    if (k0 >= 8) {
+      res.w[1] = sign.w[1] | ((0x18000 | ((exp >> 12) << 13) | 
+          ((k0 & 1) << 12) | (exp & 0xfff)) << 46) | dcoeff.w[1];
+    } else {
+      res.w[1] = sign.w[1] | ((((exp >> 12) << 15) | (k0 << 12) | 
+          (exp & 0xfff)) << 46) | dcoeff.w[1];
+    }
+  }
+  *pres = res;
+}
+
+void _dpd_to_bid128 (_Decimal128 *, _Decimal128 *);
+
+void
+_dpd_to_bid128 (_Decimal128 *pres, _Decimal128 *px) {
+  UINT128 res;
+  UINT128 sign;
+  UINT64 exp, comb;
+  UINT128 trailing;
+  UINT64 d0, d1, d2, d3, d4, d5, d6, d7, d8, d9, d10, d11;
+  UINT128 bcoeff;
+  UINT64 tl, th;
+  _Decimal128 x = *px;
+
+  sign.w[1] = (x.w[1] & 0x8000000000000000ull);
+  sign.w[0] = 0;
+  comb = (x.w[1] & 0x7fffc00000000000ull) >> 46;
+  trailing.w[1] = x.w[1];
+  trailing.w[0] = x.w[0];
+  if ((comb & 0x1e000) == 0x1e000) {
+    if ((comb & 0x1f000) == 0x1f000) { /* G0..G4 = 11111 -> NaN */
+      if (comb & 0x01000) { /* G5 = 1 -> sNaN */
+        *pres = x;
+      } else { /* G5 = 0 -> qNaN */
+        *pres = x;
+      }
+    } else { /* G0..G4 = 11110 -> INF */
+      *pres = x;
+    }
+    return;
+  } else { /* Normal number */
+    if ((comb & 0x18000) == 0x18000) { /* G0..G1 = 11 -> d0 = 8 + G4 */
+      d0 = d2b6[8 + ((comb & 0x01000) >> 12)];
+      exp = (comb & 0x06000) >> 1;  /* exp leading bits are G2..G3 */
+    } else {
+      d0 = d2b6[((comb & 0x07000) >> 12)];
+      exp = (comb & 0x18000) >> 3;  /* exp loading bits are G0..G1 */
+    }
+    d11 = d2b[(trailing.w[0]) & 0x3ff];
+    d10 = d2b2[(trailing.w[0] >> 10) & 0x3ff];
+    d9 = d2b3[(trailing.w[0] >> 20) & 0x3ff];
+    d8 = d2b4[(trailing.w[0] >> 30) & 0x3ff];
+    d7 = d2b5[(trailing.w[0] >> 40) & 0x3ff];
+    d6 = d2b6[(trailing.w[0] >> 50) & 0x3ff];
+    d5 = d2b[(trailing.w[0] >> 60) | ((trailing.w[1] & 0x3f) << 4)];
+    d4 = d2b2[(trailing.w[1] >> 6) & 0x3ff];
+    d3 = d2b3[(trailing.w[1] >> 16) & 0x3ff];
+    d2 = d2b4[(trailing.w[1] >> 26) & 0x3ff];
+    d1 = d2b5[(trailing.w[1] >> 36) & 0x3ff];
+    tl = d11 + d10 + d9 + d8 + d7 + d6;
+    th = d5 + d4 + d3 + d2 + d1 + d0;
+    __mul_64x64_to_128 (bcoeff, th, 1000000000000000000ull);
+    __add_128_64 (bcoeff, bcoeff, tl);
+    exp += (comb & 0xfff);
+    res.w[0] = bcoeff.w[0];
+    res.w[1] = (exp << 49) | sign.w[1] | bcoeff.w[1];
+  }
+  *pres = res;
+}
diff --git a/libdecnumber/bid/bid2dpd_dpd2bid.h b/libdecnumber/bid/bid2dpd_dpd2bid.h
new file mode 100644 (file)
index 0000000..7728cff
--- /dev/null
@@ -0,0 +1,10407 @@
+/* Copyright (C) 2007  Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file.  (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+static const UINT128 reciprocals10_128[] = {
+  { { 0ull, 0ull } }, /* 0 extra digits */
+  { { 0x3333333333333334ull ,0x3333333333333333ull } }, /* 1 extra digit */
+  { { 0x51eb851eb851eb86ull ,0x051eb851eb851eb8ull } }, /* 2 extra digits */
+  { { 0x3b645a1cac083127ull, 0x0083126e978d4fdfull } }, /* 3 extra digits */
+  { { 0x4af4f0d844d013aaULL, 0x00346dc5d6388659ULL } }, /*  10^(-4) * 2^131 */
+  { { 0x08c3f3e0370cdc88ULL, 0x0029f16b11c6d1e1ULL } }, /*  10^(-5) * 2^134 */
+  { { 0x6d698fe69270b06dULL, 0x00218def416bdb1aULL } }, /*  10^(-6) * 2^137 */
+  { { 0xaf0f4ca41d811a47ULL, 0x0035afe535795e90ULL } }, /*  10^(-7) * 2^141 */
+  { { 0xbf3f70834acdaea0ULL, 0x002af31dc4611873ULL } }, /*  10^(-8) * 2^144 */
+  { { 0x65cc5a02a23e254dULL, 0x00225c17d04dad29ULL } }, /*  10^(-9) * 2^147 */
+  { { 0x6fad5cd10396a214ULL, 0x0036f9bfb3af7b75ULL } }, /* 10^(-10) * 2^151 */
+  { { 0xbfbde3da69454e76ULL, 0x002bfaffc2f2c92aULL } }, /* 10^(-11) * 2^154 */
+  { { 0x32fe4fe1edd10b92ULL, 0x00232f33025bd422ULL } }, /* 10^(-12) * 2^157 */
+  { { 0x84ca19697c81ac1cULL, 0x00384b84d092ed03ULL } }, /* 10^(-13) * 2^161 */
+  { { 0x03d4e1213067bce4ULL, 0x002d09370d425736ULL } }, /* 10^(-14) * 2^164 */
+  { { 0x3643e74dc052fd83ULL, 0x0024075f3dceac2bULL } }, /* 10^(-15) * 2^167 */
+  { { 0x56d30baf9a1e626bULL, 0x0039a5652fb11378ULL } }, /* 10^(-16) * 2^171 */
+  { { 0x12426fbfae7eb522ULL, 0x002e1dea8c8da92dULL } }, /* 10^(-17) * 2^174 */
+  { { 0x41cebfcc8b9890e8ULL, 0x0024e4bba3a48757ULL } }, /* 10^(-18) * 2^177 */
+  { { 0x694acc7a78f41b0dULL, 0x003b07929f6da558ULL } }, /* 10^(-19) * 2^181 */
+  { { 0xbaa23d2ec729af3eULL, 0x002f394219248446ULL } }, /* 10^(-20) * 2^184 */
+  { { 0xfbb4fdbf05baf298ULL, 0x0025c768141d369eULL } }, /* 10^(-21) * 2^187 */
+  { { 0x2c54c931a2c4b759ULL, 0x003c7240202ebdcbULL } }, /* 10^(-22) * 2^191 */
+  { { 0x89dd6dc14f03c5e1ULL, 0x00305b66802564a2ULL } }, /* 10^(-23) * 2^194 */
+  { { 0xd4b1249aa59c9e4eULL, 0x0026af8533511d4eULL } }, /* 10^(-24) * 2^197 */
+  { { 0x544ea0f76f60fd49ULL, 0x003de5a1ebb4fbb1ULL } }, /* 10^(-25) * 2^201 */
+  { { 0x76a54d92bf80caa1ULL, 0x00318481895d9627ULL } }, /* 10^(-26) * 2^204 */
+  { { 0x921dd7a89933d54eULL, 0x00279d346de4781fULL } }, /* 10^(-27) * 2^207 */
+  { { 0x8362f2a75b862215ULL, 0x003f61ed7ca0c032ULL } }, /* 10^(-28) * 2^211 */
+  { { 0xcf825bb91604e811ULL, 0x0032b4bdfd4d668eULL } }, /* 10^(-29) * 2^214 */
+  { { 0x0c684960de6a5341ULL, 0x00289097fdd7853fULL } }, /* 10^(-30) * 2^217 */
+  { { 0x3d203ab3e521dc34ULL, 0x002073accb12d0ffULL } }, /* 10^(-31) * 2^220 */
+  { { 0x2e99f7863b696053ULL, 0x0033ec47ab514e65ULL } }, /* 10^(-32) * 2^224 */
+  { { 0x587b2c6b62bab376ULL, 0x002989d2ef743eb7ULL } }, /* 10^(-33) * 2^227 */
+  { { 0xad2f56bc4efbc2c5ULL, 0x00213b0f25f69892ULL } }, /* 10^(-34) * 2^230 */
+  { { 0x0f2abc9d8c9689d1ull, 0x01a95a5b7f87a0efull } } /* 35 extra digits */
+};
+
+static const int recip_scale[] = {
+  129 - 128,  /* 1 */
+  129 - 128,  /* 1/10 */
+  129 - 128,  /* 1/10^2 */
+  129 - 128,  /* 1/10^3 */
+  3, /* 131 - 128 */
+  6, /* 134 - 128 */
+  9, /* 137 - 128 */
+  13, /* 141 - 128 */
+  16, /* 144 - 128 */
+  19, /* 147 - 128 */
+  23, /* 151 - 128 */
+  26, /* 154 - 128 */
+  29, /* 157 - 128 */
+  33, /* 161 - 128 */
+  36, /* 164 - 128 */
+  39, /* 167 - 128 */
+  43, /* 171 - 128 */
+  46, /* 174 - 128 */
+  49, /* 177 - 128 */
+  53, /* 181 - 128 */
+  56, /* 184 - 128 */
+  59, /* 187 - 128 */
+  63, /* 191 - 128 */
+
+  66, /* 194 - 128 */
+  69, /* 197 - 128 */
+  73, /* 201 - 128 */
+  76, /* 204 - 128 */
+  79, /* 207 - 128 */
+  83, /* 211 - 128 */
+  86, /* 214 - 128 */
+  89, /* 217 - 128 */
+  92, /* 220 - 128 */
+  96, /* 224 - 128 */
+  99, /* 227 - 128 */
+  102, /* 230 - 128 */
+  237 - 128,  /* 1/10^35 */
+};
+
+static const int short_recip_scale[] = {
+  1, 
+  65 - 64,
+  69 - 64,
+  71 - 64,
+  75 - 64, 
+  78 - 64,
+  81 - 64,
+  85 - 64,
+  88 - 64,
+  91 - 64,
+  95 - 64,
+  98 - 64,
+  101 - 64,
+  105 - 64,
+  108 - 64,
+  111 - 64,
+  115 - 64, /* 114 - 64 */
+  118 - 64
+};
+
+static const unsigned long long reciprocals10_64[] = {
+  1ull, /* dummy value for 0 extra digits */
+  0x3333333333333334ull,   /* 1 extra digit */
+  0x51eb851eb851eb86ull,
+  0x20c49ba5e353f7cfull,
+  0x346dc5d63886594bull,
+  0x29f16b11c6d1e109ull,
+  0x218def416bdb1a6eull,
+  0x35afe535795e90b0ull,
+  0x2af31dc4611873c0ull,
+  0x225c17d04dad2966ull,
+  0x36f9bfb3af7b7570ull,
+  0x2bfaffc2f2c92ac0ull,
+  0x232f33025bd42233ull,
+  0x384b84d092ed0385ull,
+  0x2d09370d42573604ull,
+  0x24075f3dceac2b37ull,
+  0x39a5652fb1137857ull,   
+  0x2e1dea8c8da92d13ull
+};
+
+static const UINT64 d2b[] = {  
+    0,   1,   2,   3,   4,   5,   6,   7,
+    8,   9,  80,  81, 800, 801, 880, 881,
+    10,  11,  12,  13,  14,  15,  16,  17,
+    18,  19,  90,  91, 810, 811, 890, 891,
+    20,  21,  22,  23,  24,  25,  26,  27,
+    28,  29,  82,  83, 820, 821, 808, 809,
+    30,  31,  32,  33,  34,  35,  36,  37,
+    38,  39,  92,  93, 830, 831, 818, 819,
+    40,  41,  42,  43,  44,  45,  46,  47,
+    48,  49,  84,  85, 840, 841,  88,  89,
+    50,  51,  52,  53,  54,  55,  56,  57,
+    58,  59,  94,  95, 850, 851,  98,  99,
+    60,  61,  62,  63,  64,  65,  66,  67,
+    68,  69,  86,  87, 860, 861, 888, 889,
+    70,  71,  72,  73,  74,  75,  76,  77,
+    78,  79,  96,  97, 870, 871, 898, 899,
+    100, 101, 102, 103, 104, 105, 106, 107,
+    108, 109, 180, 181, 900, 901, 980, 981,
+    110, 111, 112, 113, 114, 115, 116, 117,
+    118, 119, 190, 191, 910, 911, 990, 991,
+    120, 121, 122, 123, 124, 125, 126, 127,
+    128, 129, 182, 183, 920, 921, 908, 909,
+    130, 131, 132, 133, 134, 135, 136, 137,
+    138, 139, 192, 193, 930, 931, 918, 919,
+    140, 141, 142, 143, 144, 145, 146, 147,
+    148, 149, 184, 185, 940, 941, 188, 189,
+    150, 151, 152, 153, 154, 155, 156, 157,
+    158, 159, 194, 195, 950, 951, 198, 199,
+    160, 161, 162, 163, 164, 165, 166, 167,
+    168, 169, 186, 187, 960, 961, 988, 989,
+    170, 171, 172, 173, 174, 175, 176, 177,
+    178, 179, 196, 197, 970, 971, 998, 999,
+    200, 201, 202, 203, 204, 205, 206, 207,
+    208, 209, 280, 281, 802, 803, 882, 883,
+    210, 211, 212, 213, 214, 215, 216, 217,
+    218, 219, 290, 291, 812, 813, 892, 893,
+    220, 221, 222, 223, 224, 225, 226, 227,
+    228, 229, 282, 283, 822, 823, 828, 829,
+    230, 231, 232, 233, 234, 235, 236, 237,
+    238, 239, 292, 293, 832, 833, 838, 839,
+    240, 241, 242, 243, 244, 245, 246, 247,
+    248, 249, 284, 285, 842, 843, 288, 289,
+    250, 251, 252, 253, 254, 255, 256, 257,
+    258, 259, 294, 295, 852, 853, 298, 299,
+    260, 261, 262, 263, 264, 265, 266, 267,
+    268, 269, 286, 287, 862, 863, 888, 889,
+    270, 271, 272, 273, 274, 275, 276, 277,
+    278, 279, 296, 297, 872, 873, 898, 899,
+    300, 301, 302, 303, 304, 305, 306, 307,
+    308, 309, 380, 381, 902, 903, 982, 983,
+    310, 311, 312, 313, 314, 315, 316, 317,
+    318, 319, 390, 391, 912, 913, 992, 993,
+    320, 321, 322, 323, 324, 325, 326, 327,
+    328, 329, 382, 383, 922, 923, 928, 929,
+    330, 331, 332, 333, 334, 335, 336, 337,
+    338, 339, 392, 393, 932, 933, 938, 939,
+    340, 341, 342, 343, 344, 345, 346, 347,
+    348, 349, 384, 385, 942, 943, 388, 389,
+    350, 351, 352, 353, 354, 355, 356, 357,
+    358, 359, 394, 395, 952, 953, 398, 399,
+    360, 361, 362, 363, 364, 365, 366, 367,
+    368, 369, 386, 387, 962, 963, 988, 989,
+    370, 371, 372, 373, 374, 375, 376, 377,
+    378, 379, 396, 397, 972, 973, 998, 999,
+    400, 401, 402, 403, 404, 405, 406, 407,
+    408, 409, 480, 481, 804, 805, 884, 885,
+    410, 411, 412, 413, 414, 415, 416, 417,
+    418, 419, 490, 491, 814, 815, 894, 895,
+    420, 421, 422, 423, 424, 425, 426, 427,
+    428, 429, 482, 483, 824, 825, 848, 849,
+    430, 431, 432, 433, 434, 435, 436, 437,
+    438, 439, 492, 493, 834, 835, 858, 859,
+    440, 441, 442, 443, 444, 445, 446, 447,
+    448, 449, 484, 485, 844, 845, 488, 489,
+    450, 451, 452, 453, 454, 455, 456, 457,
+    458, 459, 494, 495, 854, 855, 498, 499,
+    460, 461, 462, 463, 464, 465, 466, 467,
+    468, 469, 486, 487, 864, 865, 888, 889,
+    470, 471, 472, 473, 474, 475, 476, 477,
+    478, 479, 496, 497, 874, 875, 898, 899,
+    500, 501, 502, 503, 504, 505, 506, 507,
+    508, 509, 580, 581, 904, 905, 984, 985,
+    510, 511, 512, 513, 514, 515, 516, 517,
+    518, 519, 590, 591, 914, 915, 994, 995,
+    520, 521, 522, 523, 524, 525, 526, 527,
+    528, 529, 582, 583, 924, 925, 948, 949,
+    530, 531, 532, 533, 534, 535, 536, 537,
+    538, 539, 592, 593, 934, 935, 958, 959,
+    540, 541, 542, 543, 544, 545, 546, 547,
+    548, 549, 584, 585, 944, 945, 588, 589,
+    550, 551, 552, 553, 554, 555, 556, 557,
+    558, 559, 594, 595, 954, 955, 598, 599,
+    560, 561, 562, 563, 564, 565, 566, 567,
+    568, 569, 586, 587, 964, 965, 988, 989,
+    570, 571, 572, 573, 574, 575, 576, 577,
+    578, 579, 596, 597, 974, 975, 998, 999,
+    600, 601, 602, 603, 604, 605, 606, 607,
+    608, 609, 680, 681, 806, 807, 886, 887,
+    610, 611, 612, 613, 614, 615, 616, 617,
+    618, 619, 690, 691, 816, 817, 896, 897,
+    620, 621, 622, 623, 624, 625, 626, 627,
+    628, 629, 682, 683, 826, 827, 868, 869,
+    630, 631, 632, 633, 634, 635, 636, 637,
+    638, 639, 692, 693, 836, 837, 878, 879,
+    640, 641, 642, 643, 644, 645, 646, 647,
+    648, 649, 684, 685, 846, 847, 688, 689,
+    650, 651, 652, 653, 654, 655, 656, 657,
+    658, 659, 694, 695, 856, 857, 698, 699,
+    660, 661, 662, 663, 664, 665, 666, 667,
+    668, 669, 686, 687, 866, 867, 888, 889,
+    670, 671, 672, 673, 674, 675, 676, 677,
+    678, 679, 696, 697, 876, 877, 898, 899,
+    700, 701, 702, 703, 704, 705, 706, 707,
+    708, 709, 780, 781, 906, 907, 986, 987,
+    710, 711, 712, 713, 714, 715, 716, 717,
+    718, 719, 790, 791, 916, 917, 996, 997,
+    720, 721, 722, 723, 724, 725, 726, 727,
+    728, 729, 782, 783, 926, 927, 968, 969,
+    730, 731, 732, 733, 734, 735, 736, 737,
+    738, 739, 792, 793, 936, 937, 978, 979,
+    740, 741, 742, 743, 744, 745, 746, 747,
+    748, 749, 784, 785, 946, 947, 788, 789,
+    750, 751, 752, 753, 754, 755, 756, 757,
+    758, 759, 794, 795, 956, 957, 798, 799,
+    760, 761, 762, 763, 764, 765, 766, 767,
+    768, 769, 786, 787, 966, 967, 988, 989,
+    770, 771, 772, 773, 774, 775, 776, 777,
+    778, 779, 796, 797, 976, 977, 998, 999 };
+
+static const UINT64 d2b2[] = {  
+    0000ull, 1000ull, 2000ull, 3000ull,
+    4000ull, 5000ull, 6000ull, 7000ull,
+    8000ull, 9000ull, 80000ull, 81000ull,
+    800000ull, 801000ull, 880000ull, 881000ull,
+    10000ull, 11000ull, 12000ull, 13000ull,
+    14000ull, 15000ull, 16000ull, 17000ull,
+    18000ull, 19000ull, 90000ull, 91000ull,
+    810000ull, 811000ull, 890000ull, 891000ull,
+    20000ull, 21000ull, 22000ull, 23000ull,
+    24000ull, 25000ull, 26000ull, 27000ull,
+    28000ull, 29000ull, 82000ull, 83000ull,
+    820000ull, 821000ull, 808000ull, 809000ull,
+    30000ull, 31000ull, 32000ull, 33000ull,
+    34000ull, 35000ull, 36000ull, 37000ull,
+    38000ull, 39000ull, 92000ull, 93000ull,
+    830000ull, 831000ull, 818000ull, 819000ull,
+    40000ull, 41000ull, 42000ull, 43000ull,
+    44000ull, 45000ull, 46000ull, 47000ull,
+    48000ull, 49000ull, 84000ull, 85000ull,
+    840000ull, 841000ull, 88000ull, 89000ull,
+    50000ull, 51000ull, 52000ull, 53000ull,
+    54000ull, 55000ull, 56000ull, 57000ull,
+    58000ull, 59000ull, 94000ull, 95000ull,
+    850000ull, 851000ull, 98000ull, 99000ull,
+    60000ull, 61000ull, 62000ull, 63000ull,
+    64000ull, 65000ull, 66000ull, 67000ull,
+    68000ull, 69000ull, 86000ull, 87000ull,
+    860000ull, 861000ull, 888000ull, 889000ull,
+    70000ull, 71000ull, 72000ull, 73000ull,
+    74000ull, 75000ull, 76000ull, 77000ull,
+    78000ull, 79000ull, 96000ull, 97000ull,
+    870000ull, 871000ull, 898000ull, 899000ull,
+    100000ull, 101000ull, 102000ull, 103000ull,
+    104000ull, 105000ull, 106000ull, 107000ull,
+    108000ull, 109000ull, 180000ull, 181000ull,
+    900000ull, 901000ull, 980000ull, 981000ull,
+    110000ull, 111000ull, 112000ull, 113000ull,
+    114000ull, 115000ull, 116000ull, 117000ull,
+    118000ull, 119000ull, 190000ull, 191000ull,
+    910000ull, 911000ull, 990000ull, 991000ull,
+    120000ull, 121000ull, 122000ull, 123000ull,
+    124000ull, 125000ull, 126000ull, 127000ull,
+    128000ull, 129000ull, 182000ull, 183000ull,
+    920000ull, 921000ull, 908000ull, 909000ull,
+    130000ull, 131000ull, 132000ull, 133000ull,
+    134000ull, 135000ull, 136000ull, 137000ull,
+    138000ull, 139000ull, 192000ull, 193000ull,
+    930000ull, 931000ull, 918000ull, 919000ull,
+    140000ull, 141000ull, 142000ull, 143000ull,
+    144000ull, 145000ull, 146000ull, 147000ull,
+    148000ull, 149000ull, 184000ull, 185000ull,
+    940000ull, 941000ull, 188000ull, 189000ull,
+    150000ull, 151000ull, 152000ull, 153000ull,
+    154000ull, 155000ull, 156000ull, 157000ull,
+    158000ull, 159000ull, 194000ull, 195000ull,
+    950000ull, 951000ull, 198000ull, 199000ull,
+    160000ull, 161000ull, 162000ull, 163000ull,
+    164000ull, 165000ull, 166000ull, 167000ull,
+    168000ull, 169000ull, 186000ull, 187000ull,
+    960000ull, 961000ull, 988000ull, 989000ull,
+    170000ull, 171000ull, 172000ull, 173000ull,
+    174000ull, 175000ull, 176000ull, 177000ull,
+    178000ull, 179000ull, 196000ull, 197000ull,
+    970000ull, 971000ull, 998000ull, 999000ull,
+    200000ull, 201000ull, 202000ull, 203000ull,
+    204000ull, 205000ull, 206000ull, 207000ull,
+    208000ull, 209000ull, 280000ull, 281000ull,
+    802000ull, 803000ull, 882000ull, 883000ull,
+    210000ull, 211000ull, 212000ull, 213000ull,
+    214000ull, 215000ull, 216000ull, 217000ull,
+    218000ull, 219000ull, 290000ull, 291000ull,
+    812000ull, 813000ull, 892000ull, 893000ull,
+    220000ull, 221000ull, 222000ull, 223000ull,
+    224000ull, 225000ull, 226000ull, 227000ull,
+    228000ull, 229000ull, 282000ull, 283000ull,
+    822000ull, 823000ull, 828000ull, 829000ull,
+    230000ull, 231000ull, 232000ull, 233000ull,
+    234000ull, 235000ull, 236000ull, 237000ull,
+    238000ull, 239000ull, 292000ull, 293000ull,
+    832000ull, 833000ull, 838000ull, 839000ull,
+    240000ull, 241000ull, 242000ull, 243000ull,
+    244000ull, 245000ull, 246000ull, 247000ull,
+    248000ull, 249000ull, 284000ull, 285000ull,
+    842000ull, 843000ull, 288000ull, 289000ull,
+    250000ull, 251000ull, 252000ull, 253000ull,
+    254000ull, 255000ull, 256000ull, 257000ull,
+    258000ull, 259000ull, 294000ull, 295000ull,
+    852000ull, 853000ull, 298000ull, 299000ull,
+    260000ull, 261000ull, 262000ull, 263000ull,
+    264000ull, 265000ull, 266000ull, 267000ull,
+    268000ull, 269000ull, 286000ull, 287000ull,
+    862000ull, 863000ull, 888000ull, 889000ull,
+    270000ull, 271000ull, 272000ull, 273000ull,
+    274000ull, 275000ull, 276000ull, 277000ull,
+    278000ull, 279000ull, 296000ull, 297000ull,
+    872000ull, 873000ull, 898000ull, 899000ull,
+    300000ull, 301000ull, 302000ull, 303000ull,
+    304000ull, 305000ull, 306000ull, 307000ull,
+    308000ull, 309000ull, 380000ull, 381000ull,
+    902000ull, 903000ull, 982000ull, 983000ull,
+    310000ull, 311000ull, 312000ull, 313000ull,
+    314000ull, 315000ull, 316000ull, 317000ull,
+    318000ull, 319000ull, 390000ull, 391000ull,
+    912000ull, 913000ull, 992000ull, 993000ull,
+    320000ull, 321000ull, 322000ull, 323000ull,
+    324000ull, 325000ull, 326000ull, 327000ull,
+    328000ull, 329000ull, 382000ull, 383000ull,
+    922000ull, 923000ull, 928000ull, 929000ull,
+    330000ull, 331000ull, 332000ull, 333000ull,
+    334000ull, 335000ull, 336000ull, 337000ull,
+    338000ull, 339000ull, 392000ull, 393000ull,
+    932000ull, 933000ull, 938000ull, 939000ull,
+    340000ull, 341000ull, 342000ull, 343000ull,
+    344000ull, 345000ull, 346000ull, 347000ull,
+    348000ull, 349000ull, 384000ull, 385000ull,
+    942000ull, 943000ull, 388000ull, 389000ull,
+    350000ull, 351000ull, 352000ull, 353000ull,
+    354000ull, 355000ull, 356000ull, 357000ull,
+    358000ull, 359000ull, 394000ull, 395000ull,
+    952000ull, 953000ull, 398000ull, 399000ull,
+    360000ull, 361000ull, 362000ull, 363000ull,
+    364000ull, 365000ull, 366000ull, 367000ull,
+    368000ull, 369000ull, 386000ull, 387000ull,
+    962000ull, 963000ull, 988000ull, 989000ull,
+    370000ull, 371000ull, 372000ull, 373000ull,
+    374000ull, 375000ull, 376000ull, 377000ull,
+    378000ull, 379000ull, 396000ull, 397000ull,
+    972000ull, 973000ull, 998000ull, 999000ull,
+    400000ull, 401000ull, 402000ull, 403000ull,
+    404000ull, 405000ull, 406000ull, 407000ull,
+    408000ull, 409000ull, 480000ull, 481000ull,
+    804000ull, 805000ull, 884000ull, 885000ull,
+    410000ull, 411000ull, 412000ull, 413000ull,
+    414000ull, 415000ull, 416000ull, 417000ull,
+    418000ull, 419000ull, 490000ull, 491000ull,
+    814000ull, 815000ull, 894000ull, 895000ull,
+    420000ull, 421000ull, 422000ull, 423000ull,
+    424000ull, 425000ull, 426000ull, 427000ull,
+    428000ull, 429000ull, 482000ull, 483000ull,
+    824000ull, 825000ull, 848000ull, 849000ull,
+    430000ull, 431000ull, 432000ull, 433000ull,
+    434000ull, 435000ull, 436000ull, 437000ull,
+    438000ull, 439000ull, 492000ull, 493000ull,
+    834000ull, 835000ull, 858000ull, 859000ull,
+    440000ull, 441000ull, 442000ull, 443000ull,
+    444000ull, 445000ull, 446000ull, 447000ull,
+    448000ull, 449000ull, 484000ull, 485000ull,
+    844000ull, 845000ull, 488000ull, 489000ull,
+    450000ull, 451000ull, 452000ull, 453000ull,
+    454000ull, 455000ull, 456000ull, 457000ull,
+    458000ull, 459000ull, 494000ull, 495000ull,
+    854000ull, 855000ull, 498000ull, 499000ull,
+    460000ull, 461000ull, 462000ull, 463000ull,
+    464000ull, 465000ull, 466000ull, 467000ull,
+    468000ull, 469000ull, 486000ull, 487000ull,
+    864000ull, 865000ull, 888000ull, 889000ull,
+    470000ull, 471000ull, 472000ull, 473000ull,
+    474000ull, 475000ull, 476000ull, 477000ull,
+    478000ull, 479000ull, 496000ull, 497000ull,
+    874000ull, 875000ull, 898000ull, 899000ull,
+    500000ull, 501000ull, 502000ull, 503000ull,
+    504000ull, 505000ull, 506000ull, 507000ull,
+    508000ull, 509000ull, 580000ull, 581000ull,
+    904000ull, 905000ull, 984000ull, 985000ull,
+    510000ull, 511000ull, 512000ull, 513000ull,
+    514000ull, 515000ull, 516000ull, 517000ull,
+    518000ull, 519000ull, 590000ull, 591000ull,
+    914000ull, 915000ull, 994000ull, 995000ull,
+    520000ull, 521000ull, 522000ull, 523000ull,
+    524000ull, 525000ull, 526000ull, 527000ull,
+    528000ull, 529000ull, 582000ull, 583000ull,
+    924000ull, 925000ull, 948000ull, 949000ull,
+    530000ull, 531000ull, 532000ull, 533000ull,
+    534000ull, 535000ull, 536000ull, 537000ull,
+    538000ull, 539000ull, 592000ull, 593000ull,
+    934000ull, 935000ull, 958000ull, 959000ull,
+    540000ull, 541000ull, 542000ull, 543000ull,
+    544000ull, 545000ull, 546000ull, 547000ull,
+    548000ull, 549000ull, 584000ull, 585000ull,
+    944000ull, 945000ull, 588000ull, 589000ull,
+    550000ull, 551000ull, 552000ull, 553000ull,
+    554000ull, 555000ull, 556000ull, 557000ull,
+    558000ull, 559000ull, 594000ull, 595000ull,
+    954000ull, 955000ull, 598000ull, 599000ull,
+    560000ull, 561000ull, 562000ull, 563000ull,
+    564000ull, 565000ull, 566000ull, 567000ull,
+    568000ull, 569000ull, 586000ull, 587000ull,
+    964000ull, 965000ull, 988000ull, 989000ull,
+    570000ull, 571000ull, 572000ull, 573000ull,
+    574000ull, 575000ull, 576000ull, 577000ull,
+    578000ull, 579000ull, 596000ull, 597000ull,
+    974000ull, 975000ull, 998000ull, 999000ull,
+    600000ull, 601000ull, 602000ull, 603000ull,
+    604000ull, 605000ull, 606000ull, 607000ull,
+    608000ull, 609000ull, 680000ull, 681000ull,
+    806000ull, 807000ull, 886000ull, 887000ull,
+    610000ull, 611000ull, 612000ull, 613000ull,
+    614000ull, 615000ull, 616000ull, 617000ull,
+    618000ull, 619000ull, 690000ull, 691000ull,
+    816000ull, 817000ull, 896000ull, 897000ull,
+    620000ull, 621000ull, 622000ull, 623000ull,
+    624000ull, 625000ull, 626000ull, 627000ull,
+    628000ull, 629000ull, 682000ull, 683000ull,
+    826000ull, 827000ull, 868000ull, 869000ull,
+    630000ull, 631000ull, 632000ull, 633000ull,
+    634000ull, 635000ull, 636000ull, 637000ull,
+    638000ull, 639000ull, 692000ull, 693000ull,
+    836000ull, 837000ull, 878000ull, 879000ull,
+    640000ull, 641000ull, 642000ull, 643000ull,
+    644000ull, 645000ull, 646000ull, 647000ull,
+    648000ull, 649000ull, 684000ull, 685000ull,
+    846000ull, 847000ull, 688000ull, 689000ull,
+    650000ull, 651000ull, 652000ull, 653000ull,
+    654000ull, 655000ull, 656000ull, 657000ull,
+    658000ull, 659000ull, 694000ull, 695000ull,
+    856000ull, 857000ull, 698000ull, 699000ull,
+    660000ull, 661000ull, 662000ull, 663000ull,
+    664000ull, 665000ull, 666000ull, 667000ull,
+    668000ull, 669000ull, 686000ull, 687000ull,
+    866000ull, 867000ull, 888000ull, 889000ull,
+    670000ull, 671000ull, 672000ull, 673000ull,
+    674000ull, 675000ull, 676000ull, 677000ull,
+    678000ull, 679000ull, 696000ull, 697000ull,
+    876000ull, 877000ull, 898000ull, 899000ull,
+    700000ull, 701000ull, 702000ull, 703000ull,
+    704000ull, 705000ull, 706000ull, 707000ull,
+    708000ull, 709000ull, 780000ull, 781000ull,
+    906000ull, 907000ull, 986000ull, 987000ull,
+    710000ull, 711000ull, 712000ull, 713000ull,
+    714000ull, 715000ull, 716000ull, 717000ull,
+    718000ull, 719000ull, 790000ull, 791000ull,
+    916000ull, 917000ull, 996000ull, 997000ull,
+    720000ull, 721000ull, 722000ull, 723000ull,
+    724000ull, 725000ull, 726000ull, 727000ull,
+    728000ull, 729000ull, 782000ull, 783000ull,
+    926000ull, 927000ull, 968000ull, 969000ull,
+    730000ull, 731000ull, 732000ull, 733000ull,
+    734000ull, 735000ull, 736000ull, 737000ull,
+    738000ull, 739000ull, 792000ull, 793000ull,
+    936000ull, 937000ull, 978000ull, 979000ull,
+    740000ull, 741000ull, 742000ull, 743000ull,
+    744000ull, 745000ull, 746000ull, 747000ull,
+    748000ull, 749000ull, 784000ull, 785000ull,
+    946000ull, 947000ull, 788000ull, 789000ull,
+    750000ull, 751000ull, 752000ull, 753000ull,
+    754000ull, 755000ull, 756000ull, 757000ull,
+    758000ull, 759000ull, 794000ull, 795000ull,
+    956000ull, 957000ull, 798000ull, 799000ull,
+    760000ull, 761000ull, 762000ull, 763000ull,
+    764000ull, 765000ull, 766000ull, 767000ull,
+    768000ull, 769000ull, 786000ull, 787000ull,
+    966000ull, 967000ull, 988000ull, 989000ull,
+    770000ull, 771000ull, 772000ull, 773000ull,
+    774000ull, 775000ull, 776000ull, 777000ull,
+    778000ull, 779000ull, 796000ull, 797000ull,
+    976000ull, 977000ull, 998000ull, 999000ull 
+};
+
+static const UINT64 d2b3[] = {  
+    0000000ull,
+    1000000ull,
+    2000000ull,
+    3000000ull,
+    4000000ull,
+    5000000ull,
+    6000000ull,
+    7000000ull,
+    8000000ull,
+    9000000ull,
+    80000000ull,
+    81000000ull,
+    800000000ull,
+    801000000ull,
+    880000000ull,
+    881000000ull,
+    
+    10000000ull,
+    11000000ull,
+    12000000ull,
+    13000000ull,
+    14000000ull,
+    15000000ull,
+    16000000ull,
+    17000000ull,
+    18000000ull,
+    19000000ull,
+    90000000ull,
+    91000000ull,
+    810000000ull,
+    811000000ull,
+    890000000ull,
+    891000000ull,
+    
+    20000000ull,
+    21000000ull,
+    22000000ull,
+    23000000ull,
+    24000000ull,
+    25000000ull,
+    26000000ull,
+    27000000ull,
+    28000000ull,
+    29000000ull,
+    82000000ull,
+    83000000ull,
+    820000000ull,
+    821000000ull,
+    808000000ull,
+    809000000ull,
+    
+    30000000ull,
+    31000000ull,
+    32000000ull,
+    33000000ull,
+    34000000ull,
+    35000000ull,
+    36000000ull,
+    37000000ull,
+    38000000ull,
+    39000000ull,
+    92000000ull,
+    93000000ull,
+    830000000ull,
+    831000000ull,
+    818000000ull,
+    819000000ull,
+    
+    40000000ull,
+    41000000ull,
+    42000000ull,
+    43000000ull,
+    44000000ull,
+    45000000ull,
+    46000000ull,
+    47000000ull,
+    48000000ull,
+    49000000ull,
+    84000000ull,
+    85000000ull,
+    840000000ull,
+    841000000ull,
+    88000000ull,
+    89000000ull,
+    
+    50000000ull,
+    51000000ull,
+    52000000ull,
+    53000000ull,
+    54000000ull,
+    55000000ull,
+    56000000ull,
+    57000000ull,
+    58000000ull,
+    59000000ull,
+    94000000ull,
+    95000000ull,
+    850000000ull,
+    851000000ull,
+    98000000ull,
+    99000000ull,
+    
+    60000000ull,
+    61000000ull,
+    62000000ull,
+    63000000ull,
+    64000000ull,
+    65000000ull,
+    66000000ull,
+    67000000ull,
+    68000000ull,
+    69000000ull,
+    86000000ull,
+    87000000ull,
+    860000000ull,
+    861000000ull,
+    888000000ull,
+    889000000ull,
+    
+    70000000ull,
+    71000000ull,
+    72000000ull,
+    73000000ull,
+    74000000ull,
+    75000000ull,
+    76000000ull,
+    77000000ull,
+    78000000ull,
+    79000000ull,
+    96000000ull,
+    97000000ull,
+    870000000ull,
+    871000000ull,
+    898000000ull,
+    899000000ull,
+    
+    100000000ull,
+    101000000ull,
+    102000000ull,
+    103000000ull,
+    104000000ull,
+    105000000ull,
+    106000000ull,
+    107000000ull,
+    108000000ull,
+    109000000ull,
+    180000000ull,
+    181000000ull,
+    900000000ull,
+    901000000ull,
+    980000000ull,
+    981000000ull,
+    
+    110000000ull,
+    111000000ull,
+    112000000ull,
+    113000000ull,
+    114000000ull,
+    115000000ull,
+    116000000ull,
+    117000000ull,
+    118000000ull,
+    119000000ull,
+    190000000ull,
+    191000000ull,
+    910000000ull,
+    911000000ull,
+    990000000ull,
+    991000000ull,
+    
+    120000000ull,
+    121000000ull,
+    122000000ull,
+    123000000ull,
+    124000000ull,
+    125000000ull,
+    126000000ull,
+    127000000ull,
+    128000000ull,
+    129000000ull,
+    182000000ull,
+    183000000ull,
+    920000000ull,
+    921000000ull,
+    908000000ull,
+    909000000ull,
+    
+    130000000ull,
+    131000000ull,
+    132000000ull,
+    133000000ull,
+    134000000ull,
+    135000000ull,
+    136000000ull,
+    137000000ull,
+    138000000ull,
+    139000000ull,
+    192000000ull,
+    193000000ull,
+    930000000ull,
+    931000000ull,
+    918000000ull,
+    919000000ull,
+    
+    140000000ull,
+    141000000ull,
+    142000000ull,
+    143000000ull,
+    144000000ull,
+    145000000ull,
+    146000000ull,
+    147000000ull,
+    148000000ull,
+    149000000ull,
+    184000000ull,
+    185000000ull,
+    940000000ull,
+    941000000ull,
+    188000000ull,
+    189000000ull,
+    
+    150000000ull,
+    151000000ull,
+    152000000ull,
+    153000000ull,
+    154000000ull,
+    155000000ull,
+    156000000ull,
+    157000000ull,
+    158000000ull,
+    159000000ull,
+    194000000ull,
+    195000000ull,
+    950000000ull,
+    951000000ull,
+    198000000ull,
+    199000000ull,
+    
+    160000000ull,
+    161000000ull,
+    162000000ull,
+    163000000ull,
+    164000000ull,
+    165000000ull,
+    166000000ull,
+    167000000ull,
+    168000000ull,
+    169000000ull,
+    186000000ull,
+    187000000ull,
+    960000000ull,
+    961000000ull,
+    988000000ull,
+    989000000ull,
+    
+    170000000ull,
+    171000000ull,
+    172000000ull,
+    173000000ull,
+    174000000ull,
+    175000000ull,
+    176000000ull,
+    177000000ull,
+    178000000ull,
+    179000000ull,
+    196000000ull,
+    197000000ull,
+    970000000ull,
+    971000000ull,
+    998000000ull,
+    999000000ull,
+    
+    200000000ull,
+    201000000ull,
+    202000000ull,
+    203000000ull,
+    204000000ull,
+    205000000ull,
+    206000000ull,
+    207000000ull,
+    208000000ull,
+    209000000ull,
+    280000000ull,
+    281000000ull,
+    802000000ull,
+    803000000ull,
+    882000000ull,
+    883000000ull,
+    
+    210000000ull,
+    211000000ull,
+    212000000ull,
+    213000000ull,
+    214000000ull,
+    215000000ull,
+    216000000ull,
+    217000000ull,
+    218000000ull,
+    219000000ull,
+    290000000ull,
+    291000000ull,
+    812000000ull,
+    813000000ull,
+    892000000ull,
+    893000000ull,
+    
+    220000000ull,
+    221000000ull,
+    222000000ull,
+    223000000ull,
+    224000000ull,
+    225000000ull,
+    226000000ull,
+    227000000ull,
+    228000000ull,
+    229000000ull,
+    282000000ull,
+    283000000ull,
+    822000000ull,
+    823000000ull,
+    828000000ull,
+    829000000ull,
+    
+    230000000ull,
+    231000000ull,
+    232000000ull,
+    233000000ull,
+    234000000ull,
+    235000000ull,
+    236000000ull,
+    237000000ull,
+    238000000ull,
+    239000000ull,
+    292000000ull,
+    293000000ull,
+    832000000ull,
+    833000000ull,
+    838000000ull,
+    839000000ull,
+    
+    240000000ull,
+    241000000ull,
+    242000000ull,
+    243000000ull,
+    244000000ull,
+    245000000ull,
+    246000000ull,
+    247000000ull,
+    248000000ull,
+    249000000ull,
+    284000000ull,
+    285000000ull,
+    842000000ull,
+    843000000ull,
+    288000000ull,
+    289000000ull,
+    
+    250000000ull,
+    251000000ull,
+    252000000ull,
+    253000000ull,
+    254000000ull,
+    255000000ull,
+    256000000ull,
+    257000000ull,
+    258000000ull,
+    259000000ull,
+    294000000ull,
+    295000000ull,
+    852000000ull,
+    853000000ull,
+    298000000ull,
+    299000000ull,
+    
+    260000000ull,
+    261000000ull,
+    262000000ull,
+    263000000ull,
+    264000000ull,
+    265000000ull,
+    266000000ull,
+    267000000ull,
+    268000000ull,
+    269000000ull,
+    286000000ull,
+    287000000ull,
+    862000000ull,
+    863000000ull,
+    888000000ull,
+    889000000ull,
+    
+    270000000ull,
+    271000000ull,
+    272000000ull,
+    273000000ull,
+    274000000ull,
+    275000000ull,
+    276000000ull,
+    277000000ull,
+    278000000ull,
+    279000000ull,
+    296000000ull,
+    297000000ull,
+    872000000ull,
+    873000000ull,
+    898000000ull,
+    899000000ull,
+    
+    300000000ull,
+    301000000ull,
+    302000000ull,
+    303000000ull,
+    304000000ull,
+    305000000ull,
+    306000000ull,
+    307000000ull,
+    308000000ull,
+    309000000ull,
+    380000000ull,
+    381000000ull,
+    902000000ull,
+    903000000ull,
+    982000000ull,
+    983000000ull,
+    
+    310000000ull,
+    311000000ull,
+    312000000ull,
+    313000000ull,
+    314000000ull,
+    315000000ull,
+    316000000ull,
+    317000000ull,
+    318000000ull,
+    319000000ull,
+    390000000ull,
+    391000000ull,
+    912000000ull,
+    913000000ull,
+    992000000ull,
+    993000000ull,
+    
+    320000000ull,
+    321000000ull,
+    322000000ull,
+    323000000ull,
+    324000000ull,
+    325000000ull,
+    326000000ull,
+    327000000ull,
+    328000000ull,
+    329000000ull,
+    382000000ull,
+    383000000ull,
+    922000000ull,
+    923000000ull,
+    928000000ull,
+    929000000ull,
+    
+    330000000ull,
+    331000000ull,
+    332000000ull,
+    333000000ull,
+    334000000ull,
+    335000000ull,
+    336000000ull,
+    337000000ull,
+    338000000ull,
+    339000000ull,
+    392000000ull,
+    393000000ull,
+    932000000ull,
+    933000000ull,
+    938000000ull,
+    939000000ull,
+    
+    340000000ull,
+    341000000ull,
+    342000000ull,
+    343000000ull,
+    344000000ull,
+    345000000ull,
+    346000000ull,
+    347000000ull,
+    348000000ull,
+    349000000ull,
+    384000000ull,
+    385000000ull,
+    942000000ull,
+    943000000ull,
+    388000000ull,
+    389000000ull,
+    
+    350000000ull,
+    351000000ull,
+    352000000ull,
+    353000000ull,
+    354000000ull,
+    355000000ull,
+    356000000ull,
+    357000000ull,
+    358000000ull,
+    359000000ull,
+    394000000ull,
+    395000000ull,
+    952000000ull,
+    953000000ull,
+    398000000ull,
+    399000000ull,
+    
+    360000000ull,
+    361000000ull,
+    362000000ull,
+    363000000ull,
+    364000000ull,
+    365000000ull,
+    366000000ull,
+    367000000ull,
+    368000000ull,
+    369000000ull,
+    386000000ull,
+    387000000ull,
+    962000000ull,
+    963000000ull,
+    988000000ull,
+    989000000ull,
+    
+    370000000ull,
+    371000000ull,
+    372000000ull,
+    373000000ull,
+    374000000ull,
+    375000000ull,
+    376000000ull,
+    377000000ull,
+    378000000ull,
+    379000000ull,
+    396000000ull,
+    397000000ull,
+    972000000ull,
+    973000000ull,
+    998000000ull,
+    999000000ull,
+    
+    400000000ull,
+    401000000ull,
+    402000000ull,
+    403000000ull,
+    404000000ull,
+    405000000ull,
+    406000000ull,
+    407000000ull,
+    408000000ull,
+    409000000ull,
+    480000000ull,
+    481000000ull,
+    804000000ull,
+    805000000ull,
+    884000000ull,
+    885000000ull,
+    
+    410000000ull,
+    411000000ull,
+    412000000ull,
+    413000000ull,
+    414000000ull,
+    415000000ull,
+    416000000ull,
+    417000000ull,
+    418000000ull,
+    419000000ull,
+    490000000ull,
+    491000000ull,
+    814000000ull,
+    815000000ull,
+    894000000ull,
+    895000000ull,
+    
+    420000000ull,
+    421000000ull,
+    422000000ull,
+    423000000ull,
+    424000000ull,
+    425000000ull,
+    426000000ull,
+    427000000ull,
+    428000000ull,
+    429000000ull,
+    482000000ull,
+    483000000ull,
+    824000000ull,
+    825000000ull,
+    848000000ull,
+    849000000ull,
+    
+    430000000ull,
+    431000000ull,
+    432000000ull,
+    433000000ull,
+    434000000ull,
+    435000000ull,
+    436000000ull,
+    437000000ull,
+    438000000ull,
+    439000000ull,
+    492000000ull,
+    493000000ull,
+    834000000ull,
+    835000000ull,
+    858000000ull,
+    859000000ull,
+    
+    440000000ull,
+    441000000ull,
+    442000000ull,
+    443000000ull,
+    444000000ull,
+    445000000ull,
+    446000000ull,
+    447000000ull,
+    448000000ull,
+    449000000ull,
+    484000000ull,
+    485000000ull,
+    844000000ull,
+    845000000ull,
+    488000000ull,
+    489000000ull,
+    
+    450000000ull,
+    451000000ull,
+    452000000ull,
+    453000000ull,
+    454000000ull,
+    455000000ull,
+    456000000ull,
+    457000000ull,
+    458000000ull,
+    459000000ull,
+    494000000ull,
+    495000000ull,
+    854000000ull,
+    855000000ull,
+    498000000ull,
+    499000000ull,
+    
+    460000000ull,
+    461000000ull,
+    462000000ull,
+    463000000ull,
+    464000000ull,
+    465000000ull,
+    466000000ull,
+    467000000ull,
+    468000000ull,
+    469000000ull,
+    486000000ull,
+    487000000ull,
+    864000000ull,
+    865000000ull,
+    888000000ull,
+    889000000ull,
+    
+    470000000ull,
+    471000000ull,
+    472000000ull,
+    473000000ull,
+    474000000ull,
+    475000000ull,
+    476000000ull,
+    477000000ull,
+    478000000ull,
+    479000000ull,
+    496000000ull,
+    497000000ull,
+    874000000ull,
+    875000000ull,
+    898000000ull,
+    899000000ull,
+    
+    500000000ull,
+    501000000ull,
+    502000000ull,
+    503000000ull,
+    504000000ull,
+    505000000ull,
+    506000000ull,
+    507000000ull,
+    508000000ull,
+    509000000ull,
+    580000000ull,
+    581000000ull,
+    904000000ull,
+    905000000ull,
+    984000000ull,
+    985000000ull,
+    
+    510000000ull,
+    511000000ull,
+    512000000ull,
+    513000000ull,
+    514000000ull,
+    515000000ull,
+    516000000ull,
+    517000000ull,
+    518000000ull,
+    519000000ull,
+    590000000ull,
+    591000000ull,
+    914000000ull,
+    915000000ull,
+    994000000ull,
+    995000000ull,
+    
+    520000000ull,
+    521000000ull,
+    522000000ull,
+    523000000ull,
+    524000000ull,
+    525000000ull,
+    526000000ull,
+    527000000ull,
+    528000000ull,
+    529000000ull,
+    582000000ull,
+    583000000ull,
+    924000000ull,
+    925000000ull,
+    948000000ull,
+    949000000ull,
+    
+    530000000ull,
+    531000000ull,
+    532000000ull,
+    533000000ull,
+    534000000ull,
+    535000000ull,
+    536000000ull,
+    537000000ull,
+    538000000ull,
+    539000000ull,
+    592000000ull,
+    593000000ull,
+    934000000ull,
+    935000000ull,
+    958000000ull,
+    959000000ull,
+    
+    540000000ull,
+    541000000ull,
+    542000000ull,
+    543000000ull,
+    544000000ull,
+    545000000ull,
+    546000000ull,
+    547000000ull,
+    548000000ull,
+    549000000ull,
+    584000000ull,
+    585000000ull,
+    944000000ull,
+    945000000ull,
+    588000000ull,
+    589000000ull,
+    
+    550000000ull,
+    551000000ull,
+    552000000ull,
+    553000000ull,
+    554000000ull,
+    555000000ull,
+    556000000ull,
+    557000000ull,
+    558000000ull,
+    559000000ull,
+    594000000ull,
+    595000000ull,
+    954000000ull,
+    955000000ull,
+    598000000ull,
+    599000000ull,
+    
+    560000000ull,
+    561000000ull,
+    562000000ull,
+    563000000ull,
+    564000000ull,
+    565000000ull,
+    566000000ull,
+    567000000ull,
+    568000000ull,
+    569000000ull,
+    586000000ull,
+    587000000ull,
+    964000000ull,
+    965000000ull,
+    988000000ull,
+    989000000ull,
+    
+    570000000ull,
+    571000000ull,
+    572000000ull,
+    573000000ull,
+    574000000ull,
+    575000000ull,
+    576000000ull,
+    577000000ull,
+    578000000ull,
+    579000000ull,
+    596000000ull,
+    597000000ull,
+    974000000ull,
+    975000000ull,
+    998000000ull,
+    999000000ull,
+    
+    600000000ull,
+    601000000ull,
+    602000000ull,
+    603000000ull,
+    604000000ull,
+    605000000ull,
+    606000000ull,
+    607000000ull,
+    608000000ull,
+    609000000ull,
+    680000000ull,
+    681000000ull,
+    806000000ull,
+    807000000ull,
+    886000000ull,
+    887000000ull,
+    
+    610000000ull,
+    611000000ull,
+    612000000ull,
+    613000000ull,
+    614000000ull,
+    615000000ull,
+    616000000ull,
+    617000000ull,
+    618000000ull,
+    619000000ull,
+    690000000ull,
+    691000000ull,
+    816000000ull,
+    817000000ull,
+    896000000ull,
+    897000000ull,
+    
+    620000000ull,
+    621000000ull,
+    622000000ull,
+    623000000ull,
+    624000000ull,
+    625000000ull,
+    626000000ull,
+    627000000ull,
+    628000000ull,
+    629000000ull,
+    682000000ull,
+    683000000ull,
+    826000000ull,
+    827000000ull,
+    868000000ull,
+    869000000ull,
+    
+    630000000ull,
+    631000000ull,
+    632000000ull,
+    633000000ull,
+    634000000ull,
+    635000000ull,
+    636000000ull,
+    637000000ull,
+    638000000ull,
+    639000000ull,
+    692000000ull,
+    693000000ull,
+    836000000ull,
+    837000000ull,
+    878000000ull,
+    879000000ull,
+    
+    640000000ull,
+    641000000ull,
+    642000000ull,
+    643000000ull,
+    644000000ull,
+    645000000ull,
+    646000000ull,
+    647000000ull,
+    648000000ull,
+    649000000ull,
+    684000000ull,
+    685000000ull,
+    846000000ull,
+    847000000ull,
+    688000000ull,
+    689000000ull,
+    
+    650000000ull,
+    651000000ull,
+    652000000ull,
+    653000000ull,
+    654000000ull,
+    655000000ull,
+    656000000ull,
+    657000000ull,
+    658000000ull,
+    659000000ull,
+    694000000ull,
+    695000000ull,
+    856000000ull,
+    857000000ull,
+    698000000ull,
+    699000000ull,
+    
+    660000000ull,
+    661000000ull,
+    662000000ull,
+    663000000ull,
+    664000000ull,
+    665000000ull,
+    666000000ull,
+    667000000ull,
+    668000000ull,
+    669000000ull,
+    686000000ull,
+    687000000ull,
+    866000000ull,
+    867000000ull,
+    888000000ull,
+    889000000ull,
+    
+    670000000ull,
+    671000000ull,
+    672000000ull,
+    673000000ull,
+    674000000ull,
+    675000000ull,
+    676000000ull,
+    677000000ull,
+    678000000ull,
+    679000000ull,
+    696000000ull,
+    697000000ull,
+    876000000ull,
+    877000000ull,
+    898000000ull,
+    899000000ull,
+    
+    700000000ull,
+    701000000ull,
+    702000000ull,
+    703000000ull,
+    704000000ull,
+    705000000ull,
+    706000000ull,
+    707000000ull,
+    708000000ull,
+    709000000ull,
+    780000000ull,
+    781000000ull,
+    906000000ull,
+    907000000ull,
+    986000000ull,
+    987000000ull,
+    
+    710000000ull,
+    711000000ull,
+    712000000ull,
+    713000000ull,
+    714000000ull,
+    715000000ull,
+    716000000ull,
+    717000000ull,
+    718000000ull,
+    719000000ull,
+    790000000ull,
+    791000000ull,
+    916000000ull,
+    917000000ull,
+    996000000ull,
+    997000000ull,
+    
+    720000000ull,
+    721000000ull,
+    722000000ull,
+    723000000ull,
+    724000000ull,
+    725000000ull,
+    726000000ull,
+    727000000ull,
+    728000000ull,
+    729000000ull,
+    782000000ull,
+    783000000ull,
+    926000000ull,
+    927000000ull,
+    968000000ull,
+    969000000ull,
+    
+    730000000ull,
+    731000000ull,
+    732000000ull,
+    733000000ull,
+    734000000ull,
+    735000000ull,
+    736000000ull,
+    737000000ull,
+    738000000ull,
+    739000000ull,
+    792000000ull,
+    793000000ull,
+    936000000ull,
+    937000000ull,
+    978000000ull,
+    979000000ull,
+    
+    740000000ull,
+    741000000ull,
+    742000000ull,
+    743000000ull,
+    744000000ull,
+    745000000ull,
+    746000000ull,
+    747000000ull,
+    748000000ull,
+    749000000ull,
+    784000000ull,
+    785000000ull,
+    946000000ull,
+    947000000ull,
+    788000000ull,
+    789000000ull,
+    
+    750000000ull,
+    751000000ull,
+    752000000ull,
+    753000000ull,
+    754000000ull,
+    755000000ull,
+    756000000ull,
+    757000000ull,
+    758000000ull,
+    759000000ull,
+    794000000ull,
+    795000000ull,
+    956000000ull,
+    957000000ull,
+    798000000ull,
+    799000000ull,
+    
+    760000000ull,
+    761000000ull,
+    762000000ull,
+    763000000ull,
+    764000000ull,
+    765000000ull,
+    766000000ull,
+    767000000ull,
+    768000000ull,
+    769000000ull,
+    786000000ull,
+    787000000ull,
+    966000000ull,
+    967000000ull,
+    988000000ull,
+    989000000ull,
+    
+    770000000ull,
+    771000000ull,
+    772000000ull,
+    773000000ull,
+    774000000ull,
+    775000000ull,
+    776000000ull,
+    777000000ull,
+    778000000ull,
+    779000000ull,
+    796000000ull,
+    797000000ull,
+    976000000ull,
+    977000000ull,
+    998000000ull,
+    999000000ull };
+    
+static const UINT64 d2b4[] = {  
+    0000000000ull,
+    1000000000ull,
+    2000000000ull,
+    3000000000ull,
+    4000000000ull,
+    5000000000ull,
+    6000000000ull,
+    7000000000ull,
+    8000000000ull,
+    9000000000ull,
+    80000000000ull,
+    81000000000ull,
+    800000000000ull,
+    801000000000ull,
+    880000000000ull,
+    881000000000ull,
+    
+    10000000000ull,
+    11000000000ull,
+    12000000000ull,
+    13000000000ull,
+    14000000000ull,
+    15000000000ull,
+    16000000000ull,
+    17000000000ull,
+    18000000000ull,
+    19000000000ull,
+    90000000000ull,
+    91000000000ull,
+    810000000000ull,
+    811000000000ull,
+    890000000000ull,
+    891000000000ull,
+    
+    20000000000ull,
+    21000000000ull,
+    22000000000ull,
+    23000000000ull,
+    24000000000ull,
+    25000000000ull,
+    26000000000ull,
+    27000000000ull,
+    28000000000ull,
+    29000000000ull,
+    82000000000ull,
+    83000000000ull,
+    820000000000ull,
+    821000000000ull,
+    808000000000ull,
+    809000000000ull,
+    
+    30000000000ull,
+    31000000000ull,
+    32000000000ull,
+    33000000000ull,
+    34000000000ull,
+    35000000000ull,
+    36000000000ull,
+    37000000000ull,
+    38000000000ull,
+    39000000000ull,
+    92000000000ull,
+    93000000000ull,
+    830000000000ull,
+    831000000000ull,
+    818000000000ull,
+    819000000000ull,
+    
+    40000000000ull,
+    41000000000ull,
+    42000000000ull,
+    43000000000ull,
+    44000000000ull,
+    45000000000ull,
+    46000000000ull,
+    47000000000ull,
+    48000000000ull,
+    49000000000ull,
+    84000000000ull,
+    85000000000ull,
+    840000000000ull,
+    841000000000ull,
+    88000000000ull,
+    89000000000ull,
+    
+    50000000000ull,
+    51000000000ull,
+    52000000000ull,
+    53000000000ull,
+    54000000000ull,
+    55000000000ull,
+    56000000000ull,
+    57000000000ull,
+    58000000000ull,
+    59000000000ull,
+    94000000000ull,
+    95000000000ull,
+    850000000000ull,
+    851000000000ull,
+    98000000000ull,
+    99000000000ull,
+    
+    60000000000ull,
+    61000000000ull,
+    62000000000ull,
+    63000000000ull,
+    64000000000ull,
+    65000000000ull,
+    66000000000ull,
+    67000000000ull,
+    68000000000ull,
+    69000000000ull,
+    86000000000ull,
+    87000000000ull,
+    860000000000ull,
+    861000000000ull,
+    888000000000ull,
+    889000000000ull,
+    
+    70000000000ull,
+    71000000000ull,
+    72000000000ull,
+    73000000000ull,
+    74000000000ull,
+    75000000000ull,
+    76000000000ull,
+    77000000000ull,
+    78000000000ull,
+    79000000000ull,
+    96000000000ull,
+    97000000000ull,
+    870000000000ull,
+    871000000000ull,
+    898000000000ull,
+    899000000000ull,
+    
+    100000000000ull,
+    101000000000ull,
+    102000000000ull,
+    103000000000ull,
+    104000000000ull,
+    105000000000ull,
+    106000000000ull,
+    107000000000ull,
+    108000000000ull,
+    109000000000ull,
+    180000000000ull,
+    181000000000ull,
+    900000000000ull,
+    901000000000ull,
+    980000000000ull,
+    981000000000ull,
+    
+    110000000000ull,
+    111000000000ull,
+    112000000000ull,
+    113000000000ull,
+    114000000000ull,
+    115000000000ull,
+    116000000000ull,
+    117000000000ull,
+    118000000000ull,
+    119000000000ull,
+    190000000000ull,
+    191000000000ull,
+    910000000000ull,
+    911000000000ull,
+    990000000000ull,
+    991000000000ull,
+    
+    120000000000ull,
+    121000000000ull,
+    122000000000ull,
+    123000000000ull,
+    124000000000ull,
+    125000000000ull,
+    126000000000ull,
+    127000000000ull,
+    128000000000ull,
+    129000000000ull,
+    182000000000ull,
+    183000000000ull,
+    920000000000ull,
+    921000000000ull,
+    908000000000ull,
+    909000000000ull,
+    
+    130000000000ull,
+    131000000000ull,
+    132000000000ull,
+    133000000000ull,
+    134000000000ull,
+    135000000000ull,
+    136000000000ull,
+    137000000000ull,
+    138000000000ull,
+    139000000000ull,
+    192000000000ull,
+    193000000000ull,
+    930000000000ull,
+    931000000000ull,
+    918000000000ull,
+    919000000000ull,
+    
+    140000000000ull,
+    141000000000ull,
+    142000000000ull,
+    143000000000ull,
+    144000000000ull,
+    145000000000ull,
+    146000000000ull,
+    147000000000ull,
+    148000000000ull,
+    149000000000ull,
+    184000000000ull,
+    185000000000ull,
+    940000000000ull,
+    941000000000ull,
+    188000000000ull,
+    189000000000ull,
+    
+    150000000000ull,
+    151000000000ull,
+    152000000000ull,
+    153000000000ull,
+    154000000000ull,
+    155000000000ull,
+    156000000000ull,
+    157000000000ull,
+    158000000000ull,
+    159000000000ull,
+    194000000000ull,
+    195000000000ull,
+    950000000000ull,
+    951000000000ull,
+    198000000000ull,
+    199000000000ull,
+    
+    160000000000ull,
+    161000000000ull,
+    162000000000ull,
+    163000000000ull,
+    164000000000ull,
+    165000000000ull,
+    166000000000ull,
+    167000000000ull,
+    168000000000ull,
+    169000000000ull,
+    186000000000ull,
+    187000000000ull,
+    960000000000ull,
+    961000000000ull,
+    988000000000ull,
+    989000000000ull,
+    
+    170000000000ull,
+    171000000000ull,
+    172000000000ull,
+    173000000000ull,
+    174000000000ull,
+    175000000000ull,
+    176000000000ull,
+    177000000000ull,
+    178000000000ull,
+    179000000000ull,
+    196000000000ull,
+    197000000000ull,
+    970000000000ull,
+    971000000000ull,
+    998000000000ull,
+    999000000000ull,
+    
+    200000000000ull,
+    201000000000ull,
+    202000000000ull,
+    203000000000ull,
+    204000000000ull,
+    205000000000ull,
+    206000000000ull,
+    207000000000ull,
+    208000000000ull,
+    209000000000ull,
+    280000000000ull,
+    281000000000ull,
+    802000000000ull,
+    803000000000ull,
+    882000000000ull,
+    883000000000ull,
+    
+    210000000000ull,
+    211000000000ull,
+    212000000000ull,
+    213000000000ull,
+    214000000000ull,
+    215000000000ull,
+    216000000000ull,
+    217000000000ull,
+    218000000000ull,
+    219000000000ull,
+    290000000000ull,
+    291000000000ull,
+    812000000000ull,
+    813000000000ull,
+    892000000000ull,
+    893000000000ull,
+    
+    220000000000ull,
+    221000000000ull,
+    222000000000ull,
+    223000000000ull,
+    224000000000ull,
+    225000000000ull,
+    226000000000ull,
+    227000000000ull,
+    228000000000ull,
+    229000000000ull,
+    282000000000ull,
+    283000000000ull,
+    822000000000ull,
+    823000000000ull,
+    828000000000ull,
+    829000000000ull,
+    
+    230000000000ull,
+    231000000000ull,
+    232000000000ull,
+    233000000000ull,
+    234000000000ull,
+    235000000000ull,
+    236000000000ull,
+    237000000000ull,
+    238000000000ull,
+    239000000000ull,
+    292000000000ull,
+    293000000000ull,
+    832000000000ull,
+    833000000000ull,
+    838000000000ull,
+    839000000000ull,
+    
+    240000000000ull,
+    241000000000ull,
+    242000000000ull,
+    243000000000ull,
+    244000000000ull,
+    245000000000ull,
+    246000000000ull,
+    247000000000ull,
+    248000000000ull,
+    249000000000ull,
+    284000000000ull,
+    285000000000ull,
+    842000000000ull,
+    843000000000ull,
+    288000000000ull,
+    289000000000ull,
+    
+    250000000000ull,
+    251000000000ull,
+    252000000000ull,
+    253000000000ull,
+    254000000000ull,
+    255000000000ull,
+    256000000000ull,
+    257000000000ull,
+    258000000000ull,
+    259000000000ull,
+    294000000000ull,
+    295000000000ull,
+    852000000000ull,
+    853000000000ull,
+    298000000000ull,
+    299000000000ull,
+    
+    260000000000ull,
+    261000000000ull,
+    262000000000ull,
+    263000000000ull,
+    264000000000ull,
+    265000000000ull,
+    266000000000ull,
+    267000000000ull,
+    268000000000ull,
+    269000000000ull,
+    286000000000ull,
+    287000000000ull,
+    862000000000ull,
+    863000000000ull,
+    888000000000ull,
+    889000000000ull,
+    
+    270000000000ull,
+    271000000000ull,
+    272000000000ull,
+    273000000000ull,
+    274000000000ull,
+    275000000000ull,
+    276000000000ull,
+    277000000000ull,
+    278000000000ull,
+    279000000000ull,
+    296000000000ull,
+    297000000000ull,
+    872000000000ull,
+    873000000000ull,
+    898000000000ull,
+    899000000000ull,
+    
+    300000000000ull,
+    301000000000ull,
+    302000000000ull,
+    303000000000ull,
+    304000000000ull,
+    305000000000ull,
+    306000000000ull,
+    307000000000ull,
+    308000000000ull,
+    309000000000ull,
+    380000000000ull,
+    381000000000ull,
+    902000000000ull,
+    903000000000ull,
+    982000000000ull,
+    983000000000ull,
+    
+    310000000000ull,
+    311000000000ull,
+    312000000000ull,
+    313000000000ull,
+    314000000000ull,
+    315000000000ull,
+    316000000000ull,
+    317000000000ull,
+    318000000000ull,
+    319000000000ull,
+    390000000000ull,
+    391000000000ull,
+    912000000000ull,
+    913000000000ull,
+    992000000000ull,
+    993000000000ull,
+    
+    320000000000ull,
+    321000000000ull,
+    322000000000ull,
+    323000000000ull,
+    324000000000ull,
+    325000000000ull,
+    326000000000ull,
+    327000000000ull,
+    328000000000ull,
+    329000000000ull,
+    382000000000ull,
+    383000000000ull,
+    922000000000ull,
+    923000000000ull,
+    928000000000ull,
+    929000000000ull,
+    
+    330000000000ull,
+    331000000000ull,
+    332000000000ull,
+    333000000000ull,
+    334000000000ull,
+    335000000000ull,
+    336000000000ull,
+    337000000000ull,
+    338000000000ull,
+    339000000000ull,
+    392000000000ull,
+    393000000000ull,
+    932000000000ull,
+    933000000000ull,
+    938000000000ull,
+    939000000000ull,
+    
+    340000000000ull,
+    341000000000ull,
+    342000000000ull,
+    343000000000ull,
+    344000000000ull,
+    345000000000ull,
+    346000000000ull,
+    347000000000ull,
+    348000000000ull,
+    349000000000ull,
+    384000000000ull,
+    385000000000ull,
+    942000000000ull,
+    943000000000ull,
+    388000000000ull,
+    389000000000ull,
+    
+    350000000000ull,
+    351000000000ull,
+    352000000000ull,
+    353000000000ull,
+    354000000000ull,
+    355000000000ull,
+    356000000000ull,
+    357000000000ull,
+    358000000000ull,
+    359000000000ull,
+    394000000000ull,
+    395000000000ull,
+    952000000000ull,
+    953000000000ull,
+    398000000000ull,
+    399000000000ull,
+    
+    360000000000ull,
+    361000000000ull,
+    362000000000ull,
+    363000000000ull,
+    364000000000ull,
+    365000000000ull,
+    366000000000ull,
+    367000000000ull,
+    368000000000ull,
+    369000000000ull,
+    386000000000ull,
+    387000000000ull,
+    962000000000ull,
+    963000000000ull,
+    988000000000ull,
+    989000000000ull,
+    
+    370000000000ull,
+    371000000000ull,
+    372000000000ull,
+    373000000000ull,
+    374000000000ull,
+    375000000000ull,
+    376000000000ull,
+    377000000000ull,
+    378000000000ull,
+    379000000000ull,
+    396000000000ull,
+    397000000000ull,
+    972000000000ull,
+    973000000000ull,
+    998000000000ull,
+    999000000000ull,
+    
+    400000000000ull,
+    401000000000ull,
+    402000000000ull,
+    403000000000ull,
+    404000000000ull,
+    405000000000ull,
+    406000000000ull,
+    407000000000ull,
+    408000000000ull,
+    409000000000ull,
+    480000000000ull,
+    481000000000ull,
+    804000000000ull,
+    805000000000ull,
+    884000000000ull,
+    885000000000ull,
+    
+    410000000000ull,
+    411000000000ull,
+    412000000000ull,
+    413000000000ull,
+    414000000000ull,
+    415000000000ull,
+    416000000000ull,
+    417000000000ull,
+    418000000000ull,
+    419000000000ull,
+    490000000000ull,
+    491000000000ull,
+    814000000000ull,
+    815000000000ull,
+    894000000000ull,
+    895000000000ull,
+    
+    420000000000ull,
+    421000000000ull,
+    422000000000ull,
+    423000000000ull,
+    424000000000ull,
+    425000000000ull,
+    426000000000ull,
+    427000000000ull,
+    428000000000ull,
+    429000000000ull,
+    482000000000ull,
+    483000000000ull,
+    824000000000ull,
+    825000000000ull,
+    848000000000ull,
+    849000000000ull,
+    
+    430000000000ull,
+    431000000000ull,
+    432000000000ull,
+    433000000000ull,
+    434000000000ull,
+    435000000000ull,
+    436000000000ull,
+    437000000000ull,
+    438000000000ull,
+    439000000000ull,
+    492000000000ull,
+    493000000000ull,
+    834000000000ull,
+    835000000000ull,
+    858000000000ull,
+    859000000000ull,
+    
+    440000000000ull,
+    441000000000ull,
+    442000000000ull,
+    443000000000ull,
+    444000000000ull,
+    445000000000ull,
+    446000000000ull,
+    447000000000ull,
+    448000000000ull,
+    449000000000ull,
+    484000000000ull,
+    485000000000ull,
+    844000000000ull,
+    845000000000ull,
+    488000000000ull,
+    489000000000ull,
+    
+    450000000000ull,
+    451000000000ull,
+    452000000000ull,
+    453000000000ull,
+    454000000000ull,
+    455000000000ull,
+    456000000000ull,
+    457000000000ull,
+    458000000000ull,
+    459000000000ull,
+    494000000000ull,
+    495000000000ull,
+    854000000000ull,
+    855000000000ull,
+    498000000000ull,
+    499000000000ull,
+    
+    460000000000ull,
+    461000000000ull,
+    462000000000ull,
+    463000000000ull,
+    464000000000ull,
+    465000000000ull,
+    466000000000ull,
+    467000000000ull,
+    468000000000ull,
+    469000000000ull,
+    486000000000ull,
+    487000000000ull,
+    864000000000ull,
+    865000000000ull,
+    888000000000ull,
+    889000000000ull,
+    
+    470000000000ull,
+    471000000000ull,
+    472000000000ull,
+    473000000000ull,
+    474000000000ull,
+    475000000000ull,
+    476000000000ull,
+    477000000000ull,
+    478000000000ull,
+    479000000000ull,
+    496000000000ull,
+    497000000000ull,
+    874000000000ull,
+    875000000000ull,
+    898000000000ull,
+    899000000000ull,
+    
+    500000000000ull,
+    501000000000ull,
+    502000000000ull,
+    503000000000ull,
+    504000000000ull,
+    505000000000ull,
+    506000000000ull,
+    507000000000ull,
+    508000000000ull,
+    509000000000ull,
+    580000000000ull,
+    581000000000ull,
+    904000000000ull,
+    905000000000ull,
+    984000000000ull,
+    985000000000ull,
+    
+    510000000000ull,
+    511000000000ull,
+    512000000000ull,
+    513000000000ull,
+    514000000000ull,
+    515000000000ull,
+    516000000000ull,
+    517000000000ull,
+    518000000000ull,
+    519000000000ull,
+    590000000000ull,
+    591000000000ull,
+    914000000000ull,
+    915000000000ull,
+    994000000000ull,
+    995000000000ull,
+    
+    520000000000ull,
+    521000000000ull,
+    522000000000ull,
+    523000000000ull,
+    524000000000ull,
+    525000000000ull,
+    526000000000ull,
+    527000000000ull,
+    528000000000ull,
+    529000000000ull,
+    582000000000ull,
+    583000000000ull,
+    924000000000ull,
+    925000000000ull,
+    948000000000ull,
+    949000000000ull,
+    
+    530000000000ull,
+    531000000000ull,
+    532000000000ull,
+    533000000000ull,
+    534000000000ull,
+    535000000000ull,
+    536000000000ull,
+    537000000000ull,
+    538000000000ull,
+    539000000000ull,
+    592000000000ull,
+    593000000000ull,
+    934000000000ull,
+    935000000000ull,
+    958000000000ull,
+    959000000000ull,
+    
+    540000000000ull,
+    541000000000ull,
+    542000000000ull,
+    543000000000ull,
+    544000000000ull,
+    545000000000ull,
+    546000000000ull,
+    547000000000ull,
+    548000000000ull,
+    549000000000ull,
+    584000000000ull,
+    585000000000ull,
+    944000000000ull,
+    945000000000ull,
+    588000000000ull,
+    589000000000ull,
+    
+    550000000000ull,
+    551000000000ull,
+    552000000000ull,
+    553000000000ull,
+    554000000000ull,
+    555000000000ull,
+    556000000000ull,
+    557000000000ull,
+    558000000000ull,
+    559000000000ull,
+    594000000000ull,
+    595000000000ull,
+    954000000000ull,
+    955000000000ull,
+    598000000000ull,
+    599000000000ull,
+    
+    560000000000ull,
+    561000000000ull,
+    562000000000ull,
+    563000000000ull,
+    564000000000ull,
+    565000000000ull,
+    566000000000ull,
+    567000000000ull,
+    568000000000ull,
+    569000000000ull,
+    586000000000ull,
+    587000000000ull,
+    964000000000ull,
+    965000000000ull,
+    988000000000ull,
+    989000000000ull,
+    
+    570000000000ull,
+    571000000000ull,
+    572000000000ull,
+    573000000000ull,
+    574000000000ull,
+    575000000000ull,
+    576000000000ull,
+    577000000000ull,
+    578000000000ull,
+    579000000000ull,
+    596000000000ull,
+    597000000000ull,
+    974000000000ull,
+    975000000000ull,
+    998000000000ull,
+    999000000000ull,
+    
+    600000000000ull,
+    601000000000ull,
+    602000000000ull,
+    603000000000ull,
+    604000000000ull,
+    605000000000ull,
+    606000000000ull,
+    607000000000ull,
+    608000000000ull,
+    609000000000ull,
+    680000000000ull,
+    681000000000ull,
+    806000000000ull,
+    807000000000ull,
+    886000000000ull,
+    887000000000ull,
+    
+    610000000000ull,
+    611000000000ull,
+    612000000000ull,
+    613000000000ull,
+    614000000000ull,
+    615000000000ull,
+    616000000000ull,
+    617000000000ull,
+    618000000000ull,
+    619000000000ull,
+    690000000000ull,
+    691000000000ull,
+    816000000000ull,
+    817000000000ull,
+    896000000000ull,
+    897000000000ull,
+    
+    620000000000ull,
+    621000000000ull,
+    622000000000ull,
+    623000000000ull,
+    624000000000ull,
+    625000000000ull,
+    626000000000ull,
+    627000000000ull,
+    628000000000ull,
+    629000000000ull,
+    682000000000ull,
+    683000000000ull,
+    826000000000ull,
+    827000000000ull,
+    868000000000ull,
+    869000000000ull,
+    
+    630000000000ull,
+    631000000000ull,
+    632000000000ull,
+    633000000000ull,
+    634000000000ull,
+    635000000000ull,
+    636000000000ull,
+    637000000000ull,
+    638000000000ull,
+    639000000000ull,
+    692000000000ull,
+    693000000000ull,
+    836000000000ull,
+    837000000000ull,
+    878000000000ull,
+    879000000000ull,
+    
+    640000000000ull,
+    641000000000ull,
+    642000000000ull,
+    643000000000ull,
+    644000000000ull,
+    645000000000ull,
+    646000000000ull,
+    647000000000ull,
+    648000000000ull,
+    649000000000ull,
+    684000000000ull,
+    685000000000ull,
+    846000000000ull,
+    847000000000ull,
+    688000000000ull,
+    689000000000ull,
+    
+    650000000000ull,
+    651000000000ull,
+    652000000000ull,
+    653000000000ull,
+    654000000000ull,
+    655000000000ull,
+    656000000000ull,
+    657000000000ull,
+    658000000000ull,
+    659000000000ull,
+    694000000000ull,
+    695000000000ull,
+    856000000000ull,
+    857000000000ull,
+    698000000000ull,
+    699000000000ull,
+    
+    660000000000ull,
+    661000000000ull,
+    662000000000ull,
+    663000000000ull,
+    664000000000ull,
+    665000000000ull,
+    666000000000ull,
+    667000000000ull,
+    668000000000ull,
+    669000000000ull,
+    686000000000ull,
+    687000000000ull,
+    866000000000ull,
+    867000000000ull,
+    888000000000ull,
+    889000000000ull,
+    
+    670000000000ull,
+    671000000000ull,
+    672000000000ull,
+    673000000000ull,
+    674000000000ull,
+    675000000000ull,
+    676000000000ull,
+    677000000000ull,
+    678000000000ull,
+    679000000000ull,
+    696000000000ull,
+    697000000000ull,
+    876000000000ull,
+    877000000000ull,
+    898000000000ull,
+    899000000000ull,
+    
+    700000000000ull,
+    701000000000ull,
+    702000000000ull,
+    703000000000ull,
+    704000000000ull,
+    705000000000ull,
+    706000000000ull,
+    707000000000ull,
+    708000000000ull,
+    709000000000ull,
+    780000000000ull,
+    781000000000ull,
+    906000000000ull,
+    907000000000ull,
+    986000000000ull,
+    987000000000ull,
+    
+    710000000000ull,
+    711000000000ull,
+    712000000000ull,
+    713000000000ull,
+    714000000000ull,
+    715000000000ull,
+    716000000000ull,
+    717000000000ull,
+    718000000000ull,
+    719000000000ull,
+    790000000000ull,
+    791000000000ull,
+    916000000000ull,
+    917000000000ull,
+    996000000000ull,
+    997000000000ull,
+    
+    720000000000ull,
+    721000000000ull,
+    722000000000ull,
+    723000000000ull,
+    724000000000ull,
+    725000000000ull,
+    726000000000ull,
+    727000000000ull,
+    728000000000ull,
+    729000000000ull,
+    782000000000ull,
+    783000000000ull,
+    926000000000ull,
+    927000000000ull,
+    968000000000ull,
+    969000000000ull,
+    
+    730000000000ull,
+    731000000000ull,
+    732000000000ull,
+    733000000000ull,
+    734000000000ull,
+    735000000000ull,
+    736000000000ull,
+    737000000000ull,
+    738000000000ull,
+    739000000000ull,
+    792000000000ull,
+    793000000000ull,
+    936000000000ull,
+    937000000000ull,
+    978000000000ull,
+    979000000000ull,
+    
+    740000000000ull,
+    741000000000ull,
+    742000000000ull,
+    743000000000ull,
+    744000000000ull,
+    745000000000ull,
+    746000000000ull,
+    747000000000ull,
+    748000000000ull,
+    749000000000ull,
+    784000000000ull,
+    785000000000ull,
+    946000000000ull,
+    947000000000ull,
+    788000000000ull,
+    789000000000ull,
+    
+    750000000000ull,
+    751000000000ull,
+    752000000000ull,
+    753000000000ull,
+    754000000000ull,
+    755000000000ull,
+    756000000000ull,
+    757000000000ull,
+    758000000000ull,
+    759000000000ull,
+    794000000000ull,
+    795000000000ull,
+    956000000000ull,
+    957000000000ull,
+    798000000000ull,
+    799000000000ull,
+    
+    760000000000ull,
+    761000000000ull,
+    762000000000ull,
+    763000000000ull,
+    764000000000ull,
+    765000000000ull,
+    766000000000ull,
+    767000000000ull,
+    768000000000ull,
+    769000000000ull,
+    786000000000ull,
+    787000000000ull,
+    966000000000ull,
+    967000000000ull,
+    988000000000ull,
+    989000000000ull,
+    
+    770000000000ull,
+    771000000000ull,
+    772000000000ull,
+    773000000000ull,
+    774000000000ull,
+    775000000000ull,
+    776000000000ull,
+    777000000000ull,
+    778000000000ull,
+    779000000000ull,
+    796000000000ull,
+    797000000000ull,
+    976000000000ull,
+    977000000000ull,
+    998000000000ull,
+    999000000000ull 
+};
+    
+static const UINT64 d2b5[] = {  
+    0000000000000ull,
+    1000000000000ull,
+    2000000000000ull,
+    3000000000000ull,
+    4000000000000ull,
+    5000000000000ull,
+    6000000000000ull,
+    7000000000000ull,
+    8000000000000ull,
+    9000000000000ull,
+    80000000000000ull,
+    81000000000000ull,
+    800000000000000ull,
+    801000000000000ull,
+    880000000000000ull,
+    881000000000000ull,
+    
+    10000000000000ull,
+    11000000000000ull,
+    12000000000000ull,
+    13000000000000ull,
+    14000000000000ull,
+    15000000000000ull,
+    16000000000000ull,
+    17000000000000ull,
+    18000000000000ull,
+    19000000000000ull,
+    90000000000000ull,
+    91000000000000ull,
+    810000000000000ull,
+    811000000000000ull,
+    890000000000000ull,
+    891000000000000ull,
+    
+    20000000000000ull,
+    21000000000000ull,
+    22000000000000ull,
+    23000000000000ull,
+    24000000000000ull,
+    25000000000000ull,
+    26000000000000ull,
+    27000000000000ull,
+    28000000000000ull,
+    29000000000000ull,
+    82000000000000ull,
+    83000000000000ull,
+    820000000000000ull,
+    821000000000000ull,
+    808000000000000ull,
+    809000000000000ull,
+    
+    30000000000000ull,
+    31000000000000ull,
+    32000000000000ull,
+    33000000000000ull,
+    34000000000000ull,
+    35000000000000ull,
+    36000000000000ull,
+    37000000000000ull,
+    38000000000000ull,
+    39000000000000ull,
+    92000000000000ull,
+    93000000000000ull,
+    830000000000000ull,
+    831000000000000ull,
+    818000000000000ull,
+    819000000000000ull,
+    
+    40000000000000ull,
+    41000000000000ull,
+    42000000000000ull,
+    43000000000000ull,
+    44000000000000ull,
+    45000000000000ull,
+    46000000000000ull,
+    47000000000000ull,
+    48000000000000ull,
+    49000000000000ull,
+    84000000000000ull,
+    85000000000000ull,
+    840000000000000ull,
+    841000000000000ull,
+    88000000000000ull,
+    89000000000000ull,
+    
+    50000000000000ull,
+    51000000000000ull,
+    52000000000000ull,
+    53000000000000ull,
+    54000000000000ull,
+    55000000000000ull,
+    56000000000000ull,
+    57000000000000ull,
+    58000000000000ull,
+    59000000000000ull,
+    94000000000000ull,
+    95000000000000ull,
+    850000000000000ull,
+    851000000000000ull,
+    98000000000000ull,
+    99000000000000ull,
+    
+    60000000000000ull,
+    61000000000000ull,
+    62000000000000ull,
+    63000000000000ull,
+    64000000000000ull,
+    65000000000000ull,
+    66000000000000ull,
+    67000000000000ull,
+    68000000000000ull,
+    69000000000000ull,
+    86000000000000ull,
+    87000000000000ull,
+    860000000000000ull,
+    861000000000000ull,
+    888000000000000ull,
+    889000000000000ull,
+    
+    70000000000000ull,
+    71000000000000ull,
+    72000000000000ull,
+    73000000000000ull,
+    74000000000000ull,
+    75000000000000ull,
+    76000000000000ull,
+    77000000000000ull,
+    78000000000000ull,
+    79000000000000ull,
+    96000000000000ull,
+    97000000000000ull,
+    870000000000000ull,
+    871000000000000ull,
+    898000000000000ull,
+    899000000000000ull,
+    
+    100000000000000ull,
+    101000000000000ull,
+    102000000000000ull,
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+    790000000000000ull,
+    791000000000000ull,
+    916000000000000ull,
+    917000000000000ull,
+    996000000000000ull,
+    997000000000000ull,
+    
+    720000000000000ull,
+    721000000000000ull,
+    722000000000000ull,
+    723000000000000ull,
+    724000000000000ull,
+    725000000000000ull,
+    726000000000000ull,
+    727000000000000ull,
+    728000000000000ull,
+    729000000000000ull,
+    782000000000000ull,
+    783000000000000ull,
+    926000000000000ull,
+    927000000000000ull,
+    968000000000000ull,
+    969000000000000ull,
+    
+    730000000000000ull,
+    731000000000000ull,
+    732000000000000ull,
+    733000000000000ull,
+    734000000000000ull,
+    735000000000000ull,
+    736000000000000ull,
+    737000000000000ull,
+    738000000000000ull,
+    739000000000000ull,
+    792000000000000ull,
+    793000000000000ull,
+    936000000000000ull,
+    937000000000000ull,
+    978000000000000ull,
+    979000000000000ull,
+    
+    740000000000000ull,
+    741000000000000ull,
+    742000000000000ull,
+    743000000000000ull,
+    744000000000000ull,
+    745000000000000ull,
+    746000000000000ull,
+    747000000000000ull,
+    748000000000000ull,
+    749000000000000ull,
+    784000000000000ull,
+    785000000000000ull,
+    946000000000000ull,
+    947000000000000ull,
+    788000000000000ull,
+    789000000000000ull,
+    
+    750000000000000ull,
+    751000000000000ull,
+    752000000000000ull,
+    753000000000000ull,
+    754000000000000ull,
+    755000000000000ull,
+    756000000000000ull,
+    757000000000000ull,
+    758000000000000ull,
+    759000000000000ull,
+    794000000000000ull,
+    795000000000000ull,
+    956000000000000ull,
+    957000000000000ull,
+    798000000000000ull,
+    799000000000000ull,
+    
+    760000000000000ull,
+    761000000000000ull,
+    762000000000000ull,
+    763000000000000ull,
+    764000000000000ull,
+    765000000000000ull,
+    766000000000000ull,
+    767000000000000ull,
+    768000000000000ull,
+    769000000000000ull,
+    786000000000000ull,
+    787000000000000ull,
+    966000000000000ull,
+    967000000000000ull,
+    988000000000000ull,
+    989000000000000ull,
+    
+    770000000000000ull,
+    771000000000000ull,
+    772000000000000ull,
+    773000000000000ull,
+    774000000000000ull,
+    775000000000000ull,
+    776000000000000ull,
+    777000000000000ull,
+    778000000000000ull,
+    779000000000000ull,
+    796000000000000ull,
+    797000000000000ull,
+    976000000000000ull,
+    977000000000000ull,
+    998000000000000ull,
+    999000000000000ull 
+};
+
+static const UINT64 d2b6[] = {  
+    0000000000000000ull,
+    1000000000000000ull,
+    2000000000000000ull,
+    3000000000000000ull,
+    4000000000000000ull,
+    5000000000000000ull,
+    6000000000000000ull,
+    7000000000000000ull,
+    8000000000000000ull,
+    9000000000000000ull,
+    80000000000000000ull,
+    81000000000000000ull,
+    800000000000000000ull,
+    801000000000000000ull,
+    880000000000000000ull,
+    881000000000000000ull,
+    
+    10000000000000000ull,
+    11000000000000000ull,
+    12000000000000000ull,
+    13000000000000000ull,
+    14000000000000000ull,
+    15000000000000000ull,
+    16000000000000000ull,
+    17000000000000000ull,
+    18000000000000000ull,
+    19000000000000000ull,
+    90000000000000000ull,
+    91000000000000000ull,
+    810000000000000000ull,
+    811000000000000000ull,
+    890000000000000000ull,
+    891000000000000000ull,
+    
+    20000000000000000ull,
+    21000000000000000ull,
+    22000000000000000ull,
+    23000000000000000ull,
+    24000000000000000ull,
+    25000000000000000ull,
+    26000000000000000ull,
+    27000000000000000ull,
+    28000000000000000ull,
+    29000000000000000ull,
+    82000000000000000ull,
+    83000000000000000ull,
+    820000000000000000ull,
+    821000000000000000ull,
+    808000000000000000ull,
+    809000000000000000ull,
+    
+    30000000000000000ull,
+    31000000000000000ull,
+    32000000000000000ull,
+    33000000000000000ull,
+    34000000000000000ull,
+    35000000000000000ull,
+    36000000000000000ull,
+    37000000000000000ull,
+    38000000000000000ull,
+    39000000000000000ull,
+    92000000000000000ull,
+    93000000000000000ull,
+    830000000000000000ull,
+    831000000000000000ull,
+    818000000000000000ull,
+    819000000000000000ull,
+    
+    40000000000000000ull,
+    41000000000000000ull,
+    42000000000000000ull,
+    43000000000000000ull,
+    44000000000000000ull,
+    45000000000000000ull,
+    46000000000000000ull,
+    47000000000000000ull,
+    48000000000000000ull,
+    49000000000000000ull,
+    84000000000000000ull,
+    85000000000000000ull,
+    840000000000000000ull,
+    841000000000000000ull,
+    88000000000000000ull,
+    89000000000000000ull,
+    
+    50000000000000000ull,
+    51000000000000000ull,
+    52000000000000000ull,
+    53000000000000000ull,
+    54000000000000000ull,
+    55000000000000000ull,
+    56000000000000000ull,
+    57000000000000000ull,
+    58000000000000000ull,
+    59000000000000000ull,
+    94000000000000000ull,
+    95000000000000000ull,
+    850000000000000000ull,
+    851000000000000000ull,
+    98000000000000000ull,
+    99000000000000000ull,
+    
+    60000000000000000ull,
+    61000000000000000ull,
+    62000000000000000ull,
+    63000000000000000ull,
+    64000000000000000ull,
+    65000000000000000ull,
+    66000000000000000ull,
+    67000000000000000ull,
+    68000000000000000ull,
+    69000000000000000ull,
+    86000000000000000ull,
+    87000000000000000ull,
+    860000000000000000ull,
+    861000000000000000ull,
+    888000000000000000ull,
+    889000000000000000ull,
+    
+    70000000000000000ull,
+    71000000000000000ull,
+    72000000000000000ull,
+    73000000000000000ull,
+    74000000000000000ull,
+    75000000000000000ull,
+    76000000000000000ull,
+    77000000000000000ull,
+    78000000000000000ull,
+    79000000000000000ull,
+    96000000000000000ull,
+    97000000000000000ull,
+    870000000000000000ull,
+    871000000000000000ull,
+    898000000000000000ull,
+    899000000000000000ull,
+    
+    100000000000000000ull,
+    101000000000000000ull,
+    102000000000000000ull,
+    103000000000000000ull,
+    104000000000000000ull,
+    105000000000000000ull,
+    106000000000000000ull,
+    107000000000000000ull,
+    108000000000000000ull,
+    109000000000000000ull,
+    180000000000000000ull,
+    181000000000000000ull,
+    900000000000000000ull,
+    901000000000000000ull,
+    980000000000000000ull,
+    981000000000000000ull,
+    
+    110000000000000000ull,
+    111000000000000000ull,
+    112000000000000000ull,
+    113000000000000000ull,
+    114000000000000000ull,
+    115000000000000000ull,
+    116000000000000000ull,
+    117000000000000000ull,
+    118000000000000000ull,
+    119000000000000000ull,
+    190000000000000000ull,
+    191000000000000000ull,
+    910000000000000000ull,
+    911000000000000000ull,
+    990000000000000000ull,
+    991000000000000000ull,
+    
+    120000000000000000ull,
+    121000000000000000ull,
+    122000000000000000ull,
+    123000000000000000ull,
+    124000000000000000ull,
+    125000000000000000ull,
+    126000000000000000ull,
+    127000000000000000ull,
+    128000000000000000ull,
+    129000000000000000ull,
+    182000000000000000ull,
+    183000000000000000ull,
+    920000000000000000ull,
+    921000000000000000ull,
+    908000000000000000ull,
+    909000000000000000ull,
+    
+    130000000000000000ull,
+    131000000000000000ull,
+    132000000000000000ull,
+    133000000000000000ull,
+    134000000000000000ull,
+    135000000000000000ull,
+    136000000000000000ull,
+    137000000000000000ull,
+    138000000000000000ull,
+    139000000000000000ull,
+    192000000000000000ull,
+    193000000000000000ull,
+    930000000000000000ull,
+    931000000000000000ull,
+    918000000000000000ull,
+    919000000000000000ull,
+    
+    140000000000000000ull,
+    141000000000000000ull,
+    142000000000000000ull,
+    143000000000000000ull,
+    144000000000000000ull,
+    145000000000000000ull,
+    146000000000000000ull,
+    147000000000000000ull,
+    148000000000000000ull,
+    149000000000000000ull,
+    184000000000000000ull,
+    185000000000000000ull,
+    940000000000000000ull,
+    941000000000000000ull,
+    188000000000000000ull,
+    189000000000000000ull,
+    
+    150000000000000000ull,
+    151000000000000000ull,
+    152000000000000000ull,
+    153000000000000000ull,
+    154000000000000000ull,
+    155000000000000000ull,
+    156000000000000000ull,
+    157000000000000000ull,
+    158000000000000000ull,
+    159000000000000000ull,
+    194000000000000000ull,
+    195000000000000000ull,
+    950000000000000000ull,
+    951000000000000000ull,
+    198000000000000000ull,
+    199000000000000000ull,
+    
+    160000000000000000ull,
+    161000000000000000ull,
+    162000000000000000ull,
+    163000000000000000ull,
+    164000000000000000ull,
+    165000000000000000ull,
+    166000000000000000ull,
+    167000000000000000ull,
+    168000000000000000ull,
+    169000000000000000ull,
+    186000000000000000ull,
+    187000000000000000ull,
+    960000000000000000ull,
+    961000000000000000ull,
+    988000000000000000ull,
+    989000000000000000ull,
+    
+    170000000000000000ull,
+    171000000000000000ull,
+    172000000000000000ull,
+    173000000000000000ull,
+    174000000000000000ull,
+    175000000000000000ull,
+    176000000000000000ull,
+    177000000000000000ull,
+    178000000000000000ull,
+    179000000000000000ull,
+    196000000000000000ull,
+    197000000000000000ull,
+    970000000000000000ull,
+    971000000000000000ull,
+    998000000000000000ull,
+    999000000000000000ull,
+    
+    200000000000000000ull,
+    201000000000000000ull,
+    202000000000000000ull,
+    203000000000000000ull,
+    204000000000000000ull,
+    205000000000000000ull,
+    206000000000000000ull,
+    207000000000000000ull,
+    208000000000000000ull,
+    209000000000000000ull,
+    280000000000000000ull,
+    281000000000000000ull,
+    802000000000000000ull,
+    803000000000000000ull,
+    882000000000000000ull,
+    883000000000000000ull,
+    
+    210000000000000000ull,
+    211000000000000000ull,
+    212000000000000000ull,
+    213000000000000000ull,
+    214000000000000000ull,
+    215000000000000000ull,
+    216000000000000000ull,
+    217000000000000000ull,
+    218000000000000000ull,
+    219000000000000000ull,
+    290000000000000000ull,
+    291000000000000000ull,
+    812000000000000000ull,
+    813000000000000000ull,
+    892000000000000000ull,
+    893000000000000000ull,
+    
+    220000000000000000ull,
+    221000000000000000ull,
+    222000000000000000ull,
+    223000000000000000ull,
+    224000000000000000ull,
+    225000000000000000ull,
+    226000000000000000ull,
+    227000000000000000ull,
+    228000000000000000ull,
+    229000000000000000ull,
+    282000000000000000ull,
+    283000000000000000ull,
+    822000000000000000ull,
+    823000000000000000ull,
+    828000000000000000ull,
+    829000000000000000ull,
+    
+    230000000000000000ull,
+    231000000000000000ull,
+    232000000000000000ull,
+    233000000000000000ull,
+    234000000000000000ull,
+    235000000000000000ull,
+    236000000000000000ull,
+    237000000000000000ull,
+    238000000000000000ull,
+    239000000000000000ull,
+    292000000000000000ull,
+    293000000000000000ull,
+    832000000000000000ull,
+    833000000000000000ull,
+    838000000000000000ull,
+    839000000000000000ull,
+    
+    240000000000000000ull,
+    241000000000000000ull,
+    242000000000000000ull,
+    243000000000000000ull,
+    244000000000000000ull,
+    245000000000000000ull,
+    246000000000000000ull,
+    247000000000000000ull,
+    248000000000000000ull,
+    249000000000000000ull,
+    284000000000000000ull,
+    285000000000000000ull,
+    842000000000000000ull,
+    843000000000000000ull,
+    288000000000000000ull,
+    289000000000000000ull,
+    
+    250000000000000000ull,
+    251000000000000000ull,
+    252000000000000000ull,
+    253000000000000000ull,
+    254000000000000000ull,
+    255000000000000000ull,
+    256000000000000000ull,
+    257000000000000000ull,
+    258000000000000000ull,
+    259000000000000000ull,
+    294000000000000000ull,
+    295000000000000000ull,
+    852000000000000000ull,
+    853000000000000000ull,
+    298000000000000000ull,
+    299000000000000000ull,
+    
+    260000000000000000ull,
+    261000000000000000ull,
+    262000000000000000ull,
+    263000000000000000ull,
+    264000000000000000ull,
+    265000000000000000ull,
+    266000000000000000ull,
+    267000000000000000ull,
+    268000000000000000ull,
+    269000000000000000ull,
+    286000000000000000ull,
+    287000000000000000ull,
+    862000000000000000ull,
+    863000000000000000ull,
+    888000000000000000ull,
+    889000000000000000ull,
+    
+    270000000000000000ull,
+    271000000000000000ull,
+    272000000000000000ull,
+    273000000000000000ull,
+    274000000000000000ull,
+    275000000000000000ull,
+    276000000000000000ull,
+    277000000000000000ull,
+    278000000000000000ull,
+    279000000000000000ull,
+    296000000000000000ull,
+    297000000000000000ull,
+    872000000000000000ull,
+    873000000000000000ull,
+    898000000000000000ull,
+    899000000000000000ull,
+    
+    300000000000000000ull,
+    301000000000000000ull,
+    302000000000000000ull,
+    303000000000000000ull,
+    304000000000000000ull,
+    305000000000000000ull,
+    306000000000000000ull,
+    307000000000000000ull,
+    308000000000000000ull,
+    309000000000000000ull,
+    380000000000000000ull,
+    381000000000000000ull,
+    902000000000000000ull,
+    903000000000000000ull,
+    982000000000000000ull,
+    983000000000000000ull,
+    
+    310000000000000000ull,
+    311000000000000000ull,
+    312000000000000000ull,
+    313000000000000000ull,
+    314000000000000000ull,
+    315000000000000000ull,
+    316000000000000000ull,
+    317000000000000000ull,
+    318000000000000000ull,
+    319000000000000000ull,
+    390000000000000000ull,
+    391000000000000000ull,
+    912000000000000000ull,
+    913000000000000000ull,
+    992000000000000000ull,
+    993000000000000000ull,
+    
+    320000000000000000ull,
+    321000000000000000ull,
+    322000000000000000ull,
+    323000000000000000ull,
+    324000000000000000ull,
+    325000000000000000ull,
+    326000000000000000ull,
+    327000000000000000ull,
+    328000000000000000ull,
+    329000000000000000ull,
+    382000000000000000ull,
+    383000000000000000ull,
+    922000000000000000ull,
+    923000000000000000ull,
+    928000000000000000ull,
+    929000000000000000ull,
+    
+    330000000000000000ull,
+    331000000000000000ull,
+    332000000000000000ull,
+    333000000000000000ull,
+    334000000000000000ull,
+    335000000000000000ull,
+    336000000000000000ull,
+    337000000000000000ull,
+    338000000000000000ull,
+    339000000000000000ull,
+    392000000000000000ull,
+    393000000000000000ull,
+    932000000000000000ull,
+    933000000000000000ull,
+    938000000000000000ull,
+    939000000000000000ull,
+    
+    340000000000000000ull,
+    341000000000000000ull,
+    342000000000000000ull,
+    343000000000000000ull,
+    344000000000000000ull,
+    345000000000000000ull,
+    346000000000000000ull,
+    347000000000000000ull,
+    348000000000000000ull,
+    349000000000000000ull,
+    384000000000000000ull,
+    385000000000000000ull,
+    942000000000000000ull,
+    943000000000000000ull,
+    388000000000000000ull,
+    389000000000000000ull,
+    
+    350000000000000000ull,
+    351000000000000000ull,
+    352000000000000000ull,
+    353000000000000000ull,
+    354000000000000000ull,
+    355000000000000000ull,
+    356000000000000000ull,
+    357000000000000000ull,
+    358000000000000000ull,
+    359000000000000000ull,
+    394000000000000000ull,
+    395000000000000000ull,
+    952000000000000000ull,
+    953000000000000000ull,
+    398000000000000000ull,
+    399000000000000000ull,
+    
+    360000000000000000ull,
+    361000000000000000ull,
+    362000000000000000ull,
+    363000000000000000ull,
+    364000000000000000ull,
+    365000000000000000ull,
+    366000000000000000ull,
+    367000000000000000ull,
+    368000000000000000ull,
+    369000000000000000ull,
+    386000000000000000ull,
+    387000000000000000ull,
+    962000000000000000ull,
+    963000000000000000ull,
+    988000000000000000ull,
+    989000000000000000ull,
+    
+    370000000000000000ull,
+    371000000000000000ull,
+    372000000000000000ull,
+    373000000000000000ull,
+    374000000000000000ull,
+    375000000000000000ull,
+    376000000000000000ull,
+    377000000000000000ull,
+    378000000000000000ull,
+    379000000000000000ull,
+    396000000000000000ull,
+    397000000000000000ull,
+    972000000000000000ull,
+    973000000000000000ull,
+    998000000000000000ull,
+    999000000000000000ull,
+    
+    400000000000000000ull,
+    401000000000000000ull,
+    402000000000000000ull,
+    403000000000000000ull,
+    404000000000000000ull,
+    405000000000000000ull,
+    406000000000000000ull,
+    407000000000000000ull,
+    408000000000000000ull,
+    409000000000000000ull,
+    480000000000000000ull,
+    481000000000000000ull,
+    804000000000000000ull,
+    805000000000000000ull,
+    884000000000000000ull,
+    885000000000000000ull,
+    
+    410000000000000000ull,
+    411000000000000000ull,
+    412000000000000000ull,
+    413000000000000000ull,
+    414000000000000000ull,
+    415000000000000000ull,
+    416000000000000000ull,
+    417000000000000000ull,
+    418000000000000000ull,
+    419000000000000000ull,
+    490000000000000000ull,
+    491000000000000000ull,
+    814000000000000000ull,
+    815000000000000000ull,
+    894000000000000000ull,
+    895000000000000000ull,
+    
+    420000000000000000ull,
+    421000000000000000ull,
+    422000000000000000ull,
+    423000000000000000ull,
+    424000000000000000ull,
+    425000000000000000ull,
+    426000000000000000ull,
+    427000000000000000ull,
+    428000000000000000ull,
+    429000000000000000ull,
+    482000000000000000ull,
+    483000000000000000ull,
+    824000000000000000ull,
+    825000000000000000ull,
+    848000000000000000ull,
+    849000000000000000ull,
+    
+    430000000000000000ull,
+    431000000000000000ull,
+    432000000000000000ull,
+    433000000000000000ull,
+    434000000000000000ull,
+    435000000000000000ull,
+    436000000000000000ull,
+    437000000000000000ull,
+    438000000000000000ull,
+    439000000000000000ull,
+    492000000000000000ull,
+    493000000000000000ull,
+    834000000000000000ull,
+    835000000000000000ull,
+    858000000000000000ull,
+    859000000000000000ull,
+    
+    440000000000000000ull,
+    441000000000000000ull,
+    442000000000000000ull,
+    443000000000000000ull,
+    444000000000000000ull,
+    445000000000000000ull,
+    446000000000000000ull,
+    447000000000000000ull,
+    448000000000000000ull,
+    449000000000000000ull,
+    484000000000000000ull,
+    485000000000000000ull,
+    844000000000000000ull,
+    845000000000000000ull,
+    488000000000000000ull,
+    489000000000000000ull,
+    
+    450000000000000000ull,
+    451000000000000000ull,
+    452000000000000000ull,
+    453000000000000000ull,
+    454000000000000000ull,
+    455000000000000000ull,
+    456000000000000000ull,
+    457000000000000000ull,
+    458000000000000000ull,
+    459000000000000000ull,
+    494000000000000000ull,
+    495000000000000000ull,
+    854000000000000000ull,
+    855000000000000000ull,
+    498000000000000000ull,
+    499000000000000000ull,
+    
+    460000000000000000ull,
+    461000000000000000ull,
+    462000000000000000ull,
+    463000000000000000ull,
+    464000000000000000ull,
+    465000000000000000ull,
+    466000000000000000ull,
+    467000000000000000ull,
+    468000000000000000ull,
+    469000000000000000ull,
+    486000000000000000ull,
+    487000000000000000ull,
+    864000000000000000ull,
+    865000000000000000ull,
+    888000000000000000ull,
+    889000000000000000ull,
+    
+    470000000000000000ull,
+    471000000000000000ull,
+    472000000000000000ull,
+    473000000000000000ull,
+    474000000000000000ull,
+    475000000000000000ull,
+    476000000000000000ull,
+    477000000000000000ull,
+    478000000000000000ull,
+    479000000000000000ull,
+    496000000000000000ull,
+    497000000000000000ull,
+    874000000000000000ull,
+    875000000000000000ull,
+    898000000000000000ull,
+    899000000000000000ull,
+    
+    500000000000000000ull,
+    501000000000000000ull,
+    502000000000000000ull,
+    503000000000000000ull,
+    504000000000000000ull,
+    505000000000000000ull,
+    506000000000000000ull,
+    507000000000000000ull,
+    508000000000000000ull,
+    509000000000000000ull,
+    580000000000000000ull,
+    581000000000000000ull,
+    904000000000000000ull,
+    905000000000000000ull,
+    984000000000000000ull,
+    985000000000000000ull,
+    
+    510000000000000000ull,
+    511000000000000000ull,
+    512000000000000000ull,
+    513000000000000000ull,
+    514000000000000000ull,
+    515000000000000000ull,
+    516000000000000000ull,
+    517000000000000000ull,
+    518000000000000000ull,
+    519000000000000000ull,
+    590000000000000000ull,
+    591000000000000000ull,
+    914000000000000000ull,
+    915000000000000000ull,
+    994000000000000000ull,
+    995000000000000000ull,
+    
+    520000000000000000ull,
+    521000000000000000ull,
+    522000000000000000ull,
+    523000000000000000ull,
+    524000000000000000ull,
+    525000000000000000ull,
+    526000000000000000ull,
+    527000000000000000ull,
+    528000000000000000ull,
+    529000000000000000ull,
+    582000000000000000ull,
+    583000000000000000ull,
+    924000000000000000ull,
+    925000000000000000ull,
+    948000000000000000ull,
+    949000000000000000ull,
+    
+    530000000000000000ull,
+    531000000000000000ull,
+    532000000000000000ull,
+    533000000000000000ull,
+    534000000000000000ull,
+    535000000000000000ull,
+    536000000000000000ull,
+    537000000000000000ull,
+    538000000000000000ull,
+    539000000000000000ull,
+    592000000000000000ull,
+    593000000000000000ull,
+    934000000000000000ull,
+    935000000000000000ull,
+    958000000000000000ull,
+    959000000000000000ull,
+    
+    540000000000000000ull,
+    541000000000000000ull,
+    542000000000000000ull,
+    543000000000000000ull,
+    544000000000000000ull,
+    545000000000000000ull,
+    546000000000000000ull,
+    547000000000000000ull,
+    548000000000000000ull,
+    549000000000000000ull,
+    584000000000000000ull,
+    585000000000000000ull,
+    944000000000000000ull,
+    945000000000000000ull,
+    588000000000000000ull,
+    589000000000000000ull,
+    
+    550000000000000000ull,
+    551000000000000000ull,
+    552000000000000000ull,
+    553000000000000000ull,
+    554000000000000000ull,
+    555000000000000000ull,
+    556000000000000000ull,
+    557000000000000000ull,
+    558000000000000000ull,
+    559000000000000000ull,
+    594000000000000000ull,
+    595000000000000000ull,
+    954000000000000000ull,
+    955000000000000000ull,
+    598000000000000000ull,
+    599000000000000000ull,
+    
+    560000000000000000ull,
+    561000000000000000ull,
+    562000000000000000ull,
+    563000000000000000ull,
+    564000000000000000ull,
+    565000000000000000ull,
+    566000000000000000ull,
+    567000000000000000ull,
+    568000000000000000ull,
+    569000000000000000ull,
+    586000000000000000ull,
+    587000000000000000ull,
+    964000000000000000ull,
+    965000000000000000ull,
+    988000000000000000ull,
+    989000000000000000ull,
+    
+    570000000000000000ull,
+    571000000000000000ull,
+    572000000000000000ull,
+    573000000000000000ull,
+    574000000000000000ull,
+    575000000000000000ull,
+    576000000000000000ull,
+    577000000000000000ull,
+    578000000000000000ull,
+    579000000000000000ull,
+    596000000000000000ull,
+    597000000000000000ull,
+    974000000000000000ull,
+    975000000000000000ull,
+    998000000000000000ull,
+    999000000000000000ull,
+    
+    600000000000000000ull,
+    601000000000000000ull,
+    602000000000000000ull,
+    603000000000000000ull,
+    604000000000000000ull,
+    605000000000000000ull,
+    606000000000000000ull,
+    607000000000000000ull,
+    608000000000000000ull,
+    609000000000000000ull,
+    680000000000000000ull,
+    681000000000000000ull,
+    806000000000000000ull,
+    807000000000000000ull,
+    886000000000000000ull,
+    887000000000000000ull,
+    
+    610000000000000000ull,
+    611000000000000000ull,
+    612000000000000000ull,
+    613000000000000000ull,
+    614000000000000000ull,
+    615000000000000000ull,
+    616000000000000000ull,
+    617000000000000000ull,
+    618000000000000000ull,
+    619000000000000000ull,
+    690000000000000000ull,
+    691000000000000000ull,
+    816000000000000000ull,
+    817000000000000000ull,
+    896000000000000000ull,
+    897000000000000000ull,
+    
+    620000000000000000ull,
+    621000000000000000ull,
+    622000000000000000ull,
+    623000000000000000ull,
+    624000000000000000ull,
+    625000000000000000ull,
+    626000000000000000ull,
+    627000000000000000ull,
+    628000000000000000ull,
+    629000000000000000ull,
+    682000000000000000ull,
+    683000000000000000ull,
+    826000000000000000ull,
+    827000000000000000ull,
+    868000000000000000ull,
+    869000000000000000ull,
+    
+    630000000000000000ull,
+    631000000000000000ull,
+    632000000000000000ull,
+    633000000000000000ull,
+    634000000000000000ull,
+    635000000000000000ull,
+    636000000000000000ull,
+    637000000000000000ull,
+    638000000000000000ull,
+    639000000000000000ull,
+    692000000000000000ull,
+    693000000000000000ull,
+    836000000000000000ull,
+    837000000000000000ull,
+    878000000000000000ull,
+    879000000000000000ull,
+    
+    640000000000000000ull,
+    641000000000000000ull,
+    642000000000000000ull,
+    643000000000000000ull,
+    644000000000000000ull,
+    645000000000000000ull,
+    646000000000000000ull,
+    647000000000000000ull,
+    648000000000000000ull,
+    649000000000000000ull,
+    684000000000000000ull,
+    685000000000000000ull,
+    846000000000000000ull,
+    847000000000000000ull,
+    688000000000000000ull,
+    689000000000000000ull,
+    
+    650000000000000000ull,
+    651000000000000000ull,
+    652000000000000000ull,
+    653000000000000000ull,
+    654000000000000000ull,
+    655000000000000000ull,
+    656000000000000000ull,
+    657000000000000000ull,
+    658000000000000000ull,
+    659000000000000000ull,
+    694000000000000000ull,
+    695000000000000000ull,
+    856000000000000000ull,
+    857000000000000000ull,
+    698000000000000000ull,
+    699000000000000000ull,
+    
+    660000000000000000ull,
+    661000000000000000ull,
+    662000000000000000ull,
+    663000000000000000ull,
+    664000000000000000ull,
+    665000000000000000ull,
+    666000000000000000ull,
+    667000000000000000ull,
+    668000000000000000ull,
+    669000000000000000ull,
+    686000000000000000ull,
+    687000000000000000ull,
+    866000000000000000ull,
+    867000000000000000ull,
+    888000000000000000ull,
+    889000000000000000ull,
+    
+    670000000000000000ull,
+    671000000000000000ull,
+    672000000000000000ull,
+    673000000000000000ull,
+    674000000000000000ull,
+    675000000000000000ull,
+    676000000000000000ull,
+    677000000000000000ull,
+    678000000000000000ull,
+    679000000000000000ull,
+    696000000000000000ull,
+    697000000000000000ull,
+    876000000000000000ull,
+    877000000000000000ull,
+    898000000000000000ull,
+    899000000000000000ull,
+    
+    700000000000000000ull,
+    701000000000000000ull,
+    702000000000000000ull,
+    703000000000000000ull,
+    704000000000000000ull,
+    705000000000000000ull,
+    706000000000000000ull,
+    707000000000000000ull,
+    708000000000000000ull,
+    709000000000000000ull,
+    780000000000000000ull,
+    781000000000000000ull,
+    906000000000000000ull,
+    907000000000000000ull,
+    986000000000000000ull,
+    987000000000000000ull,
+    
+    710000000000000000ull,
+    711000000000000000ull,
+    712000000000000000ull,
+    713000000000000000ull,
+    714000000000000000ull,
+    715000000000000000ull,
+    716000000000000000ull,
+    717000000000000000ull,
+    718000000000000000ull,
+    719000000000000000ull,
+    790000000000000000ull,
+    791000000000000000ull,
+    916000000000000000ull,
+    917000000000000000ull,
+    996000000000000000ull,
+    997000000000000000ull,
+    
+    720000000000000000ull,
+    721000000000000000ull,
+    722000000000000000ull,
+    723000000000000000ull,
+    724000000000000000ull,
+    725000000000000000ull,
+    726000000000000000ull,
+    727000000000000000ull,
+    728000000000000000ull,
+    729000000000000000ull,
+    782000000000000000ull,
+    783000000000000000ull,
+    926000000000000000ull,
+    927000000000000000ull,
+    968000000000000000ull,
+    969000000000000000ull,
+    
+    730000000000000000ull,
+    731000000000000000ull,
+    732000000000000000ull,
+    733000000000000000ull,
+    734000000000000000ull,
+    735000000000000000ull,
+    736000000000000000ull,
+    737000000000000000ull,
+    738000000000000000ull,
+    739000000000000000ull,
+    792000000000000000ull,
+    793000000000000000ull,
+    936000000000000000ull,
+    937000000000000000ull,
+    978000000000000000ull,
+    979000000000000000ull,
+    
+    740000000000000000ull,
+    741000000000000000ull,
+    742000000000000000ull,
+    743000000000000000ull,
+    744000000000000000ull,
+    745000000000000000ull,
+    746000000000000000ull,
+    747000000000000000ull,
+    748000000000000000ull,
+    749000000000000000ull,
+    784000000000000000ull,
+    785000000000000000ull,
+    946000000000000000ull,
+    947000000000000000ull,
+    788000000000000000ull,
+    789000000000000000ull,
+    
+    750000000000000000ull,
+    751000000000000000ull,
+    752000000000000000ull,
+    753000000000000000ull,
+    754000000000000000ull,
+    755000000000000000ull,
+    756000000000000000ull,
+    757000000000000000ull,
+    758000000000000000ull,
+    759000000000000000ull,
+    794000000000000000ull,
+    795000000000000000ull,
+    956000000000000000ull,
+    957000000000000000ull,
+    798000000000000000ull,
+    799000000000000000ull,
+    
+    760000000000000000ull,
+    761000000000000000ull,
+    762000000000000000ull,
+    763000000000000000ull,
+    764000000000000000ull,
+    765000000000000000ull,
+    766000000000000000ull,
+    767000000000000000ull,
+    768000000000000000ull,
+    769000000000000000ull,
+    786000000000000000ull,
+    787000000000000000ull,
+    966000000000000000ull,
+    967000000000000000ull,
+    988000000000000000ull,
+    989000000000000000ull,
+    
+    770000000000000000ull,
+    771000000000000000ull,
+    772000000000000000ull,
+    773000000000000000ull,
+    774000000000000000ull,
+    775000000000000000ull,
+    776000000000000000ull,
+    777000000000000000ull,
+    778000000000000000ull,
+    779000000000000000ull,
+    796000000000000000ull,
+    797000000000000000ull,
+    976000000000000000ull,
+    977000000000000000ull,
+    998000000000000000ull,
+    999000000000000000ull 
+};
+
+static const UINT64 b2d[] = {
+    0x000ull,
+    0x001ull,
+    0x002ull,
+    0x003ull,
+    0x004ull,
+    0x005ull,
+    0x006ull,
+    0x007ull,
+    0x008ull,
+    0x009ull,
+
+    0x010ull,
+    0x011ull,
+    0x012ull,
+    0x013ull,
+    0x014ull,
+    0x015ull,
+    0x016ull,
+    0x017ull,
+    0x018ull,
+    0x019ull,
+
+    0x020ull,
+    0x021ull,
+    0x022ull,
+    0x023ull,
+    0x024ull,
+    0x025ull,
+    0x026ull,
+    0x027ull,
+    0x028ull,
+    0x029ull,
+
+    0x030ull,
+    0x031ull,
+    0x032ull,
+    0x033ull,
+    0x034ull,
+    0x035ull,
+    0x036ull,
+    0x037ull,
+    0x038ull,
+    0x039ull,
+
+    0x040ull,
+    0x041ull,
+    0x042ull,
+    0x043ull,
+    0x044ull,
+    0x045ull,
+    0x046ull,
+    0x047ull,
+    0x048ull,
+    0x049ull,
+
+    0x050ull,
+    0x051ull,
+    0x052ull,
+    0x053ull,
+    0x054ull,
+    0x055ull,
+    0x056ull,
+    0x057ull,
+    0x058ull,
+    0x059ull,
+
+    0x060ull,
+    0x061ull,
+    0x062ull,
+    0x063ull,
+    0x064ull,
+    0x065ull,
+    0x066ull,
+    0x067ull,
+    0x068ull,
+    0x069ull,
+
+    0x070ull,
+    0x071ull,
+    0x072ull,
+    0x073ull,
+    0x074ull,
+    0x075ull,
+    0x076ull,
+    0x077ull,
+    0x078ull,
+    0x079ull,
+
+    0x00aull,
+    0x00bull,
+    0x02aull,
+    0x02bull,
+    0x04aull,
+    0x04bull,
+    0x06aull,
+    0x06bull,
+    0x04eull,
+    0x04full,
+
+    0x01aull,
+    0x01bull,
+    0x03aull,
+    0x03bull,
+    0x05aull,
+    0x05bull,
+    0x07aull,
+    0x07bull,
+    0x05eull,
+    0x05full,
+
+    0x080ull,
+    0x081ull,
+    0x082ull,
+    0x083ull,
+    0x084ull,
+    0x085ull,
+    0x086ull,
+    0x087ull,
+    0x088ull,
+    0x089ull,
+
+    0x090ull,
+    0x091ull,
+    0x092ull,
+    0x093ull,
+    0x094ull,
+    0x095ull,
+    0x096ull,
+    0x097ull,
+    0x098ull,
+    0x099ull,
+
+    0x0a0ull,
+    0x0a1ull,
+    0x0a2ull,
+    0x0a3ull,
+    0x0a4ull,
+    0x0a5ull,
+    0x0a6ull,
+    0x0a7ull,
+    0x0a8ull,
+    0x0a9ull,
+
+    0x0b0ull,
+    0x0b1ull,
+    0x0b2ull,
+    0x0b3ull,
+    0x0b4ull,
+    0x0b5ull,
+    0x0b6ull,
+    0x0b7ull,
+    0x0b8ull,
+    0x0b9ull,
+
+    0x0c0ull,
+    0x0c1ull,
+    0x0c2ull,
+    0x0c3ull,
+    0x0c4ull,
+    0x0c5ull,
+    0x0c6ull,
+    0x0c7ull,
+    0x0c8ull,
+    0x0c9ull,
+
+    0x0d0ull,
+    0x0d1ull,
+    0x0d2ull,
+    0x0d3ull,
+    0x0d4ull,
+    0x0d5ull,
+    0x0d6ull,
+    0x0d7ull,
+    0x0d8ull,
+    0x0d9ull,
+
+    0x0e0ull,
+    0x0e1ull,
+    0x0e2ull,
+    0x0e3ull,
+    0x0e4ull,
+    0x0e5ull,
+    0x0e6ull,
+    0x0e7ull,
+    0x0e8ull,
+    0x0e9ull,
+
+    0x0f0ull,
+    0x0f1ull,
+    0x0f2ull,
+    0x0f3ull,
+    0x0f4ull,
+    0x0f5ull,
+    0x0f6ull,
+    0x0f7ull,
+    0x0f8ull,
+    0x0f9ull,
+
+    0x08aull,
+    0x08bull,
+    0x0aaull,
+    0x0abull,
+    0x0caull,
+    0x0cbull,
+    0x0eaull,
+    0x0ebull,
+    0x0ceull,
+    0x0cfull,
+
+    0x09aull,
+    0x09bull,
+    0x0baull,
+    0x0bbull,
+    0x0daull,
+    0x0dbull,
+    0x0faull,
+    0x0fbull,
+    0x0deull,
+    0x0dfull,
+
+    0x100ull,
+    0x101ull,
+    0x102ull,
+    0x103ull,
+    0x104ull,
+    0x105ull,
+    0x106ull,
+    0x107ull,
+    0x108ull,
+    0x109ull,
+
+    0x110ull,
+    0x111ull,
+    0x112ull,
+    0x113ull,
+    0x114ull,
+    0x115ull,
+    0x116ull,
+    0x117ull,
+    0x118ull,
+    0x119ull,
+
+    0x120ull,
+    0x121ull,
+    0x122ull,
+    0x123ull,
+    0x124ull,
+    0x125ull,
+    0x126ull,
+    0x127ull,
+    0x128ull,
+    0x129ull,
+
+    0x130ull,
+    0x131ull,
+    0x132ull,
+    0x133ull,
+    0x134ull,
+    0x135ull,
+    0x136ull,
+    0x137ull,
+    0x138ull,
+    0x139ull,
+
+    0x140ull,
+    0x141ull,
+    0x142ull,
+    0x143ull,
+    0x144ull,
+    0x145ull,
+    0x146ull,
+    0x147ull,
+    0x148ull,
+    0x149ull,
+
+    0x150ull,
+    0x151ull,
+    0x152ull,
+    0x153ull,
+    0x154ull,
+    0x155ull,
+    0x156ull,
+    0x157ull,
+    0x158ull,
+    0x159ull,
+
+    0x160ull,
+    0x161ull,
+    0x162ull,
+    0x163ull,
+    0x164ull,
+    0x165ull,
+    0x166ull,
+    0x167ull,
+    0x168ull,
+    0x169ull,
+
+    0x170ull,
+    0x171ull,
+    0x172ull,
+    0x173ull,
+    0x174ull,
+    0x175ull,
+    0x176ull,
+    0x177ull,
+    0x178ull,
+    0x179ull,
+
+    0x10aull,
+    0x10bull,
+    0x12aull,
+    0x12bull,
+    0x14aull,
+    0x14bull,
+    0x16aull,
+    0x16bull,
+    0x14eull,
+    0x14full,
+
+    0x11aull,
+    0x11bull,
+    0x13aull,
+    0x13bull,
+    0x15aull,
+    0x15bull,
+    0x17aull,
+    0x17bull,
+    0x15eull,
+    0x15full,
+
+    0x180ull,
+    0x181ull,
+    0x182ull,
+    0x183ull,
+    0x184ull,
+    0x185ull,
+    0x186ull,
+    0x187ull,
+    0x188ull,
+    0x189ull,
+
+    0x190ull,
+    0x191ull,
+    0x192ull,
+    0x193ull,
+    0x194ull,
+    0x195ull,
+    0x196ull,
+    0x197ull,
+    0x198ull,
+    0x199ull,
+
+    0x1a0ull,
+    0x1a1ull,
+    0x1a2ull,
+    0x1a3ull,
+    0x1a4ull,
+    0x1a5ull,
+    0x1a6ull,
+    0x1a7ull,
+    0x1a8ull,
+    0x1a9ull,
+
+    0x1b0ull,
+    0x1b1ull,
+    0x1b2ull,
+    0x1b3ull,
+    0x1b4ull,
+    0x1b5ull,
+    0x1b6ull,
+    0x1b7ull,
+    0x1b8ull,
+    0x1b9ull,
+
+    0x1c0ull,
+    0x1c1ull,
+    0x1c2ull,
+    0x1c3ull,
+    0x1c4ull,
+    0x1c5ull,
+    0x1c6ull,
+    0x1c7ull,
+    0x1c8ull,
+    0x1c9ull,
+
+    0x1d0ull,
+    0x1d1ull,
+    0x1d2ull,
+    0x1d3ull,
+    0x1d4ull,
+    0x1d5ull,
+    0x1d6ull,
+    0x1d7ull,
+    0x1d8ull,
+    0x1d9ull,
+
+    0x1e0ull,
+    0x1e1ull,
+    0x1e2ull,
+    0x1e3ull,
+    0x1e4ull,
+    0x1e5ull,
+    0x1e6ull,
+    0x1e7ull,
+    0x1e8ull,
+    0x1e9ull,
+
+    0x1f0ull,
+    0x1f1ull,
+    0x1f2ull,
+    0x1f3ull,
+    0x1f4ull,
+    0x1f5ull,
+    0x1f6ull,
+    0x1f7ull,
+    0x1f8ull,
+    0x1f9ull,
+
+    0x18aull,
+    0x18bull,
+    0x1aaull,
+    0x1abull,
+    0x1caull,
+    0x1cbull,
+    0x1eaull,
+    0x1ebull,
+    0x1ceull,
+    0x1cfull,
+
+    0x19aull,
+    0x19bull,
+    0x1baull,
+    0x1bbull,
+    0x1daull,
+    0x1dbull,
+    0x1faull,
+    0x1fbull,
+    0x1deull,
+    0x1dfull,
+
+    0x200ull,
+    0x201ull,
+    0x202ull,
+    0x203ull,
+    0x204ull,
+    0x205ull,
+    0x206ull,
+    0x207ull,
+    0x208ull,
+    0x209ull,
+
+    0x210ull,
+    0x211ull,
+    0x212ull,
+    0x213ull,
+    0x214ull,
+    0x215ull,
+    0x216ull,
+    0x217ull,
+    0x218ull,
+    0x219ull,
+
+    0x220ull,
+    0x221ull,
+    0x222ull,
+    0x223ull,
+    0x224ull,
+    0x225ull,
+    0x226ull,
+    0x227ull,
+    0x228ull,
+    0x229ull,
+
+    0x230ull,
+    0x231ull,
+    0x232ull,
+    0x233ull,
+    0x234ull,
+    0x235ull,
+    0x236ull,
+    0x237ull,
+    0x238ull,
+    0x239ull,
+
+    0x240ull,
+    0x241ull,
+    0x242ull,
+    0x243ull,
+    0x244ull,
+    0x245ull,
+    0x246ull,
+    0x247ull,
+    0x248ull,
+    0x249ull,
+
+    0x250ull,
+    0x251ull,
+    0x252ull,
+    0x253ull,
+    0x254ull,
+    0x255ull,
+    0x256ull,
+    0x257ull,
+    0x258ull,
+    0x259ull,
+
+    0x260ull,
+    0x261ull,
+    0x262ull,
+    0x263ull,
+    0x264ull,
+    0x265ull,
+    0x266ull,
+    0x267ull,
+    0x268ull,
+    0x269ull,
+
+    0x270ull,
+    0x271ull,
+    0x272ull,
+    0x273ull,
+    0x274ull,
+    0x275ull,
+    0x276ull,
+    0x277ull,
+    0x278ull,
+    0x279ull,
+
+    0x20aull,
+    0x20bull,
+    0x22aull,
+    0x22bull,
+    0x24aull,
+    0x24bull,
+    0x26aull,
+    0x26bull,
+    0x24eull,
+    0x24full,
+
+    0x21aull,
+    0x21bull,
+    0x23aull,
+    0x23bull,
+    0x25aull,
+    0x25bull,
+    0x27aull,
+    0x27bull,
+    0x25eull,
+    0x25full,
+
+    0x280ull,
+    0x281ull,
+    0x282ull,
+    0x283ull,
+    0x284ull,
+    0x285ull,
+    0x286ull,
+    0x287ull,
+    0x288ull,
+    0x289ull,
+
+    0x290ull,
+    0x291ull,
+    0x292ull,
+    0x293ull,
+    0x294ull,
+    0x295ull,
+    0x296ull,
+    0x297ull,
+    0x298ull,
+    0x299ull,
+
+    0x2a0ull,
+    0x2a1ull,
+    0x2a2ull,
+    0x2a3ull,
+    0x2a4ull,
+    0x2a5ull,
+    0x2a6ull,
+    0x2a7ull,
+    0x2a8ull,
+    0x2a9ull,
+
+    0x2b0ull,
+    0x2b1ull,
+    0x2b2ull,
+    0x2b3ull,
+    0x2b4ull,
+    0x2b5ull,
+    0x2b6ull,
+    0x2b7ull,
+    0x2b8ull,
+    0x2b9ull,
+
+    0x2c0ull,
+    0x2c1ull,
+    0x2c2ull,
+    0x2c3ull,
+    0x2c4ull,
+    0x2c5ull,
+    0x2c6ull,
+    0x2c7ull,
+    0x2c8ull,
+    0x2c9ull,
+
+    0x2d0ull,
+    0x2d1ull,
+    0x2d2ull,
+    0x2d3ull,
+    0x2d4ull,
+    0x2d5ull,
+    0x2d6ull,
+    0x2d7ull,
+    0x2d8ull,
+    0x2d9ull,
+
+    0x2e0ull,
+    0x2e1ull,
+    0x2e2ull,
+    0x2e3ull,
+    0x2e4ull,
+    0x2e5ull,
+    0x2e6ull,
+    0x2e7ull,
+    0x2e8ull,
+    0x2e9ull,
+
+    0x2f0ull,
+    0x2f1ull,
+    0x2f2ull,
+    0x2f3ull,
+    0x2f4ull,
+    0x2f5ull,
+    0x2f6ull,
+    0x2f7ull,
+    0x2f8ull,
+    0x2f9ull,
+
+    0x28aull,
+    0x28bull,
+    0x2aaull,
+    0x2abull,
+    0x2caull,
+    0x2cbull,
+    0x2eaull,
+    0x2ebull,
+    0x2ceull,
+    0x2cfull,
+
+    0x29aull,
+    0x29bull,
+    0x2baull,
+    0x2bbull,
+    0x2daull,
+    0x2dbull,
+    0x2faull,
+    0x2fbull,
+    0x2deull,
+    0x2dfull,
+
+    0x300ull,
+    0x301ull,
+    0x302ull,
+    0x303ull,
+    0x304ull,
+    0x305ull,
+    0x306ull,
+    0x307ull,
+    0x308ull,
+    0x309ull,
+
+    0x310ull,
+    0x311ull,
+    0x312ull,
+    0x313ull,
+    0x314ull,
+    0x315ull,
+    0x316ull,
+    0x317ull,
+    0x318ull,
+    0x319ull,
+
+    0x320ull,
+    0x321ull,
+    0x322ull,
+    0x323ull,
+    0x324ull,
+    0x325ull,
+    0x326ull,
+    0x327ull,
+    0x328ull,
+    0x329ull,
+
+    0x330ull,
+    0x331ull,
+    0x332ull,
+    0x333ull,
+    0x334ull,
+    0x335ull,
+    0x336ull,
+    0x337ull,
+    0x338ull,
+    0x339ull,
+
+    0x340ull,
+    0x341ull,
+    0x342ull,
+    0x343ull,
+    0x344ull,
+    0x345ull,
+    0x346ull,
+    0x347ull,
+    0x348ull,
+    0x349ull,
+
+    0x350ull,
+    0x351ull,
+    0x352ull,
+    0x353ull,
+    0x354ull,
+    0x355ull,
+    0x356ull,
+    0x357ull,
+    0x358ull,
+    0x359ull,
+
+    0x360ull,
+    0x361ull,
+    0x362ull,
+    0x363ull,
+    0x364ull,
+    0x365ull,
+    0x366ull,
+    0x367ull,
+    0x368ull,
+    0x369ull,
+
+    0x370ull,
+    0x371ull,
+    0x372ull,
+    0x373ull,
+    0x374ull,
+    0x375ull,
+    0x376ull,
+    0x377ull,
+    0x378ull,
+    0x379ull,
+
+    0x30aull,
+    0x30bull,
+    0x32aull,
+    0x32bull,
+    0x34aull,
+    0x34bull,
+    0x36aull,
+    0x36bull,
+    0x34eull,
+    0x34full,
+
+    0x31aull,
+    0x31bull,
+    0x33aull,
+    0x33bull,
+    0x35aull,
+    0x35bull,
+    0x37aull,
+    0x37bull,
+    0x35eull,
+    0x35full,
+
+    0x380ull,
+    0x381ull,
+    0x382ull,
+    0x383ull,
+    0x384ull,
+    0x385ull,
+    0x386ull,
+    0x387ull,
+    0x388ull,
+    0x389ull,
+
+    0x390ull,
+    0x391ull,
+    0x392ull,
+    0x393ull,
+    0x394ull,
+    0x395ull,
+    0x396ull,
+    0x397ull,
+    0x398ull,
+    0x399ull,
+
+    0x3a0ull,
+    0x3a1ull,
+    0x3a2ull,
+    0x3a3ull,
+    0x3a4ull,
+    0x3a5ull,
+    0x3a6ull,
+    0x3a7ull,
+    0x3a8ull,
+    0x3a9ull,
+
+    0x3b0ull,
+    0x3b1ull,
+    0x3b2ull,
+    0x3b3ull,
+    0x3b4ull,
+    0x3b5ull,
+    0x3b6ull,
+    0x3b7ull,
+    0x3b8ull,
+    0x3b9ull,
+
+    0x3c0ull,
+    0x3c1ull,
+    0x3c2ull,
+    0x3c3ull,
+    0x3c4ull,
+    0x3c5ull,
+    0x3c6ull,
+    0x3c7ull,
+    0x3c8ull,
+    0x3c9ull,
+
+    0x3d0ull,
+    0x3d1ull,
+    0x3d2ull,
+    0x3d3ull,
+    0x3d4ull,
+    0x3d5ull,
+    0x3d6ull,
+    0x3d7ull,
+    0x3d8ull,
+    0x3d9ull,
+
+    0x3e0ull,
+    0x3e1ull,
+    0x3e2ull,
+    0x3e3ull,
+    0x3e4ull,
+    0x3e5ull,
+    0x3e6ull,
+    0x3e7ull,
+    0x3e8ull,
+    0x3e9ull,
+
+    0x3f0ull,
+    0x3f1ull,
+    0x3f2ull,
+    0x3f3ull,
+    0x3f4ull,
+    0x3f5ull,
+    0x3f6ull,
+    0x3f7ull,
+    0x3f8ull,
+    0x3f9ull,
+
+    0x38aull,
+    0x38bull,
+    0x3aaull,
+    0x3abull,
+    0x3caull,
+    0x3cbull,
+    0x3eaull,
+    0x3ebull,
+    0x3ceull,
+    0x3cfull,
+
+    0x39aull,
+    0x39bull,
+    0x3baull,
+    0x3bbull,
+    0x3daull,
+    0x3dbull,
+    0x3faull,
+    0x3fbull,
+    0x3deull,
+    0x3dfull,
+
+    0x00cull,
+    0x00dull,
+    0x10cull,
+    0x10dull,
+    0x20cull,
+    0x20dull,
+    0x30cull,
+    0x30dull,
+    0x02eull,
+    0x02full,
+
+    0x01cull,
+    0x01dull,
+    0x11cull,
+    0x11dull,
+    0x21cull,
+    0x21dull,
+    0x31cull,
+    0x31dull,
+    0x03eull,
+    0x03full,
+
+    0x02cull,
+    0x02dull,
+    0x12cull,
+    0x12dull,
+    0x22cull,
+    0x22dull,
+    0x32cull,
+    0x32dull,
+    0x12eull,
+    0x12full,
+
+    0x03cull,
+    0x03dull,
+    0x13cull,
+    0x13dull,
+    0x23cull,
+    0x23dull,
+    0x33cull,
+    0x33dull,
+    0x13eull,
+    0x13full,
+
+    0x04cull,
+    0x04dull,
+    0x14cull,
+    0x14dull,
+    0x24cull,
+    0x24dull,
+    0x34cull,
+    0x34dull,
+    0x22eull,
+    0x22full,
+
+    0x05cull,
+    0x05dull,
+    0x15cull,
+    0x15dull,
+    0x25cull,
+    0x25dull,
+    0x35cull,
+    0x35dull,
+    0x23eull,
+    0x23full,
+
+    0x06cull,
+    0x06dull,
+    0x16cull,
+    0x16dull,
+    0x26cull,
+    0x26dull,
+    0x36cull,
+    0x36dull,
+    0x32eull,
+    0x32full,
+
+    0x07cull,
+    0x07dull,
+    0x17cull,
+    0x17dull,
+    0x27cull,
+    0x27dull,
+    0x37cull,
+    0x37dull,
+    0x33eull,
+    0x33full,
+
+    0x00eull,
+    0x00full,
+    0x10eull,
+    0x10full,
+    0x20eull,
+    0x20full,
+    0x30eull,
+    0x30full,
+    0x06eull,
+    0x06full,
+
+    0x01eull,
+    0x01full,
+    0x11eull,
+    0x11full,
+    0x21eull,
+    0x21full,
+    0x31eull,
+    0x31full,
+    0x07eull,
+    0x07full,
+
+    0x08cull,
+    0x08dull,
+    0x18cull,
+    0x18dull,
+    0x28cull,
+    0x28dull,
+    0x38cull,
+    0x38dull,
+    0x0aeull,
+    0x0afull,
+
+    0x09cull,
+    0x09dull,
+    0x19cull,
+    0x19dull,
+    0x29cull,
+    0x29dull,
+    0x39cull,
+    0x39dull,
+    0x0beull,
+    0x0bfull,
+
+    0x0acull,
+    0x0adull,
+    0x1acull,
+    0x1adull,
+    0x2acull,
+    0x2adull,
+    0x3acull,
+    0x3adull,
+    0x1aeull,
+    0x1afull,
+
+    0x0bcull,
+    0x0bdull,
+    0x1bcull,
+    0x1bdull,
+    0x2bcull,
+    0x2bdull,
+    0x3bcull,
+    0x3bdull,
+    0x1beull,
+    0x1bfull,
+
+    0x0ccull,
+    0x0cdull,
+    0x1ccull,
+    0x1cdull,
+    0x2ccull,
+    0x2cdull,
+    0x3ccull,
+    0x3cdull,
+    0x2aeull,
+    0x2afull,
+
+    0x0dcull,
+    0x0ddull,
+    0x1dcull,
+    0x1ddull,
+    0x2dcull,
+    0x2ddull,
+    0x3dcull,
+    0x3ddull,
+    0x2beull,
+    0x2bfull,
+
+    0x0ecull,
+    0x0edull,
+    0x1ecull,
+    0x1edull,
+    0x2ecull,
+    0x2edull,
+    0x3ecull,
+    0x3edull,
+    0x3aeull,
+    0x3afull,
+
+    0x0fcull,
+    0x0fdull,
+    0x1fcull,
+    0x1fdull,
+    0x2fcull,
+    0x2fdull,
+    0x3fcull,
+    0x3fdull,
+    0x3beull,
+    0x3bfull,
+
+    0x08eull,
+    0x08full,
+    0x18eull,
+    0x18full,
+    0x28eull,
+    0x28full,
+    0x38eull,
+    0x38full,
+    0x0eeull,
+    0x0efull,
+
+    0x09eull,
+    0x09full,
+    0x19eull,
+    0x19full,
+    0x29eull,
+    0x29full,
+    0x39eull,
+    0x39full,
+    0x0feull,
+    0x0ffull 
+};
+
+static const UINT64 b2d2[] = {
+    0x000ull << 10,
+    0x001ull << 10,
+    0x002ull << 10,
+    0x003ull << 10,
+    0x004ull << 10,
+    0x005ull << 10,
+    0x006ull << 10,
+    0x007ull << 10,
+    0x008ull << 10,
+    0x009ull << 10,
+
+    0x010ull << 10,
+    0x011ull << 10,
+    0x012ull << 10,
+    0x013ull << 10,
+    0x014ull << 10,
+    0x015ull << 10,
+    0x016ull << 10,
+    0x017ull << 10,
+    0x018ull << 10,
+    0x019ull << 10,
+
+    0x020ull << 10,
+    0x021ull << 10,
+    0x022ull << 10,
+    0x023ull << 10,
+    0x024ull << 10,
+    0x025ull << 10,
+    0x026ull << 10,
+    0x027ull << 10,
+    0x028ull << 10,
+    0x029ull << 10,
+
+    0x030ull << 10,
+    0x031ull << 10,
+    0x032ull << 10,
+    0x033ull << 10,
+    0x034ull << 10,
+    0x035ull << 10,
+    0x036ull << 10,
+    0x037ull << 10,
+    0x038ull << 10,
+    0x039ull << 10,
+
+    0x040ull << 10,
+    0x041ull << 10,
+    0x042ull << 10,
+    0x043ull << 10,
+    0x044ull << 10,
+    0x045ull << 10,
+    0x046ull << 10,
+    0x047ull << 10,
+    0x048ull << 10,
+    0x049ull << 10,
+
+    0x050ull << 10,
+    0x051ull << 10,
+    0x052ull << 10,
+    0x053ull << 10,
+    0x054ull << 10,
+    0x055ull << 10,
+    0x056ull << 10,
+    0x057ull << 10,
+    0x058ull << 10,
+    0x059ull << 10,
+
+    0x060ull << 10,
+    0x061ull << 10,
+    0x062ull << 10,
+    0x063ull << 10,
+    0x064ull << 10,
+    0x065ull << 10,
+    0x066ull << 10,
+    0x067ull << 10,
+    0x068ull << 10,
+    0x069ull << 10,
+
+    0x070ull << 10,
+    0x071ull << 10,
+    0x072ull << 10,
+    0x073ull << 10,
+    0x074ull << 10,
+    0x075ull << 10,
+    0x076ull << 10,
+    0x077ull << 10,
+    0x078ull << 10,
+    0x079ull << 10,
+
+    0x00aull << 10,
+    0x00bull << 10,
+    0x02aull << 10,
+    0x02bull << 10,
+    0x04aull << 10,
+    0x04bull << 10,
+    0x06aull << 10,
+    0x06bull << 10,
+    0x04eull << 10,
+    0x04full << 10,
+
+    0x01aull << 10,
+    0x01bull << 10,
+    0x03aull << 10,
+    0x03bull << 10,
+    0x05aull << 10,
+    0x05bull << 10,
+    0x07aull << 10,
+    0x07bull << 10,
+    0x05eull << 10,
+    0x05full << 10,
+
+    0x080ull << 10,
+    0x081ull << 10,
+    0x082ull << 10,
+    0x083ull << 10,
+    0x084ull << 10,
+    0x085ull << 10,
+    0x086ull << 10,
+    0x087ull << 10,
+    0x088ull << 10,
+    0x089ull << 10,
+
+    0x090ull << 10,
+    0x091ull << 10,
+    0x092ull << 10,
+    0x093ull << 10,
+    0x094ull << 10,
+    0x095ull << 10,
+    0x096ull << 10,
+    0x097ull << 10,
+    0x098ull << 10,
+    0x099ull << 10,
+
+    0x0a0ull << 10,
+    0x0a1ull << 10,
+    0x0a2ull << 10,
+    0x0a3ull << 10,
+    0x0a4ull << 10,
+    0x0a5ull << 10,
+    0x0a6ull << 10,
+    0x0a7ull << 10,
+    0x0a8ull << 10,
+    0x0a9ull << 10,
+
+    0x0b0ull << 10,
+    0x0b1ull << 10,
+    0x0b2ull << 10,
+    0x0b3ull << 10,
+    0x0b4ull << 10,
+    0x0b5ull << 10,
+    0x0b6ull << 10,
+    0x0b7ull << 10,
+    0x0b8ull << 10,
+    0x0b9ull << 10,
+
+    0x0c0ull << 10,
+    0x0c1ull << 10,
+    0x0c2ull << 10,
+    0x0c3ull << 10,
+    0x0c4ull << 10,
+    0x0c5ull << 10,
+    0x0c6ull << 10,
+    0x0c7ull << 10,
+    0x0c8ull << 10,
+    0x0c9ull << 10,
+
+    0x0d0ull << 10,
+    0x0d1ull << 10,
+    0x0d2ull << 10,
+    0x0d3ull << 10,
+    0x0d4ull << 10,
+    0x0d5ull << 10,
+    0x0d6ull << 10,
+    0x0d7ull << 10,
+    0x0d8ull << 10,
+    0x0d9ull << 10,
+
+    0x0e0ull << 10,
+    0x0e1ull << 10,
+    0x0e2ull << 10,
+    0x0e3ull << 10,
+    0x0e4ull << 10,
+    0x0e5ull << 10,
+    0x0e6ull << 10,
+    0x0e7ull << 10,
+    0x0e8ull << 10,
+    0x0e9ull << 10,
+
+    0x0f0ull << 10,
+    0x0f1ull << 10,
+    0x0f2ull << 10,
+    0x0f3ull << 10,
+    0x0f4ull << 10,
+    0x0f5ull << 10,
+    0x0f6ull << 10,
+    0x0f7ull << 10,
+    0x0f8ull << 10,
+    0x0f9ull << 10,
+
+    0x08aull << 10,
+    0x08bull << 10,
+    0x0aaull << 10,
+    0x0abull << 10,
+    0x0caull << 10,
+    0x0cbull << 10,
+    0x0eaull << 10,
+    0x0ebull << 10,
+    0x0ceull << 10,
+    0x0cfull << 10,
+
+    0x09aull << 10,
+    0x09bull << 10,
+    0x0baull << 10,
+    0x0bbull << 10,
+    0x0daull << 10,
+    0x0dbull << 10,
+    0x0faull << 10,
+    0x0fbull << 10,
+    0x0deull << 10,
+    0x0dfull << 10,
+
+    0x100ull << 10,
+    0x101ull << 10,
+    0x102ull << 10,
+    0x103ull << 10,
+    0x104ull << 10,
+    0x105ull << 10,
+    0x106ull << 10,
+    0x107ull << 10,
+    0x108ull << 10,
+    0x109ull << 10,
+
+    0x110ull << 10,
+    0x111ull << 10,
+    0x112ull << 10,
+    0x113ull << 10,
+    0x114ull << 10,
+    0x115ull << 10,
+    0x116ull << 10,
+    0x117ull << 10,
+    0x118ull << 10,
+    0x119ull << 10,
+
+    0x120ull << 10,
+    0x121ull << 10,
+    0x122ull << 10,
+    0x123ull << 10,
+    0x124ull << 10,
+    0x125ull << 10,
+    0x126ull << 10,
+    0x127ull << 10,
+    0x128ull << 10,
+    0x129ull << 10,
+
+    0x130ull << 10,
+    0x131ull << 10,
+    0x132ull << 10,
+    0x133ull << 10,
+    0x134ull << 10,
+    0x135ull << 10,
+    0x136ull << 10,
+    0x137ull << 10,
+    0x138ull << 10,
+    0x139ull << 10,
+
+    0x140ull << 10,
+    0x141ull << 10,
+    0x142ull << 10,
+    0x143ull << 10,
+    0x144ull << 10,
+    0x145ull << 10,
+    0x146ull << 10,
+    0x147ull << 10,
+    0x148ull << 10,
+    0x149ull << 10,
+
+    0x150ull << 10,
+    0x151ull << 10,
+    0x152ull << 10,
+    0x153ull << 10,
+    0x154ull << 10,
+    0x155ull << 10,
+    0x156ull << 10,
+    0x157ull << 10,
+    0x158ull << 10,
+    0x159ull << 10,
+
+    0x160ull << 10,
+    0x161ull << 10,
+    0x162ull << 10,
+    0x163ull << 10,
+    0x164ull << 10,
+    0x165ull << 10,
+    0x166ull << 10,
+    0x167ull << 10,
+    0x168ull << 10,
+    0x169ull << 10,
+
+    0x170ull << 10,
+    0x171ull << 10,
+    0x172ull << 10,
+    0x173ull << 10,
+    0x174ull << 10,
+    0x175ull << 10,
+    0x176ull << 10,
+    0x177ull << 10,
+    0x178ull << 10,
+    0x179ull << 10,
+
+    0x10aull << 10,
+    0x10bull << 10,
+    0x12aull << 10,
+    0x12bull << 10,
+    0x14aull << 10,
+    0x14bull << 10,
+    0x16aull << 10,
+    0x16bull << 10,
+    0x14eull << 10,
+    0x14full << 10,
+
+    0x11aull << 10,
+    0x11bull << 10,
+    0x13aull << 10,
+    0x13bull << 10,
+    0x15aull << 10,
+    0x15bull << 10,
+    0x17aull << 10,
+    0x17bull << 10,
+    0x15eull << 10,
+    0x15full << 10,
+
+    0x180ull << 10,
+    0x181ull << 10,
+    0x182ull << 10,
+    0x183ull << 10,
+    0x184ull << 10,
+    0x185ull << 10,
+    0x186ull << 10,
+    0x187ull << 10,
+    0x188ull << 10,
+    0x189ull << 10,
+
+    0x190ull << 10,
+    0x191ull << 10,
+    0x192ull << 10,
+    0x193ull << 10,
+    0x194ull << 10,
+    0x195ull << 10,
+    0x196ull << 10,
+    0x197ull << 10,
+    0x198ull << 10,
+    0x199ull << 10,
+
+    0x1a0ull << 10,
+    0x1a1ull << 10,
+    0x1a2ull << 10,
+    0x1a3ull << 10,
+    0x1a4ull << 10,
+    0x1a5ull << 10,
+    0x1a6ull << 10,
+    0x1a7ull << 10,
+    0x1a8ull << 10,
+    0x1a9ull << 10,
+
+    0x1b0ull << 10,
+    0x1b1ull << 10,
+    0x1b2ull << 10,
+    0x1b3ull << 10,
+    0x1b4ull << 10,
+    0x1b5ull << 10,
+    0x1b6ull << 10,
+    0x1b7ull << 10,
+    0x1b8ull << 10,
+    0x1b9ull << 10,
+
+    0x1c0ull << 10,
+    0x1c1ull << 10,
+    0x1c2ull << 10,
+    0x1c3ull << 10,
+    0x1c4ull << 10,
+    0x1c5ull << 10,
+    0x1c6ull << 10,
+    0x1c7ull << 10,
+    0x1c8ull << 10,
+    0x1c9ull << 10,
+
+    0x1d0ull << 10,
+    0x1d1ull << 10,
+    0x1d2ull << 10,
+    0x1d3ull << 10,
+    0x1d4ull << 10,
+    0x1d5ull << 10,
+    0x1d6ull << 10,
+    0x1d7ull << 10,
+    0x1d8ull << 10,
+    0x1d9ull << 10,
+
+    0x1e0ull << 10,
+    0x1e1ull << 10,
+    0x1e2ull << 10,
+    0x1e3ull << 10,
+    0x1e4ull << 10,
+    0x1e5ull << 10,
+    0x1e6ull << 10,
+    0x1e7ull << 10,
+    0x1e8ull << 10,
+    0x1e9ull << 10,
+
+    0x1f0ull << 10,
+    0x1f1ull << 10,
+    0x1f2ull << 10,
+    0x1f3ull << 10,
+    0x1f4ull << 10,
+    0x1f5ull << 10,
+    0x1f6ull << 10,
+    0x1f7ull << 10,
+    0x1f8ull << 10,
+    0x1f9ull << 10,
+
+    0x18aull << 10,
+    0x18bull << 10,
+    0x1aaull << 10,
+    0x1abull << 10,
+    0x1caull << 10,
+    0x1cbull << 10,
+    0x1eaull << 10,
+    0x1ebull << 10,
+    0x1ceull << 10,
+    0x1cfull << 10,
+
+    0x19aull << 10,
+    0x19bull << 10,
+    0x1baull << 10,
+    0x1bbull << 10,
+    0x1daull << 10,
+    0x1dbull << 10,
+    0x1faull << 10,
+    0x1fbull << 10,
+    0x1deull << 10,
+    0x1dfull << 10,
+
+    0x200ull << 10,
+    0x201ull << 10,
+    0x202ull << 10,
+    0x203ull << 10,
+    0x204ull << 10,
+    0x205ull << 10,
+    0x206ull << 10,
+    0x207ull << 10,
+    0x208ull << 10,
+    0x209ull << 10,
+
+    0x210ull << 10,
+    0x211ull << 10,
+    0x212ull << 10,
+    0x213ull << 10,
+    0x214ull << 10,
+    0x215ull << 10,
+    0x216ull << 10,
+    0x217ull << 10,
+    0x218ull << 10,
+    0x219ull << 10,
+
+    0x220ull << 10,
+    0x221ull << 10,
+    0x222ull << 10,
+    0x223ull << 10,
+    0x224ull << 10,
+    0x225ull << 10,
+    0x226ull << 10,
+    0x227ull << 10,
+    0x228ull << 10,
+    0x229ull << 10,
+
+    0x230ull << 10,
+    0x231ull << 10,
+    0x232ull << 10,
+    0x233ull << 10,
+    0x234ull << 10,
+    0x235ull << 10,
+    0x236ull << 10,
+    0x237ull << 10,
+    0x238ull << 10,
+    0x239ull << 10,
+
+    0x240ull << 10,
+    0x241ull << 10,
+    0x242ull << 10,
+    0x243ull << 10,
+    0x244ull << 10,
+    0x245ull << 10,
+    0x246ull << 10,
+    0x247ull << 10,
+    0x248ull << 10,
+    0x249ull << 10,
+
+    0x250ull << 10,
+    0x251ull << 10,
+    0x252ull << 10,
+    0x253ull << 10,
+    0x254ull << 10,
+    0x255ull << 10,
+    0x256ull << 10,
+    0x257ull << 10,
+    0x258ull << 10,
+    0x259ull << 10,
+
+    0x260ull << 10,
+    0x261ull << 10,
+    0x262ull << 10,
+    0x263ull << 10,
+    0x264ull << 10,
+    0x265ull << 10,
+    0x266ull << 10,
+    0x267ull << 10,
+    0x268ull << 10,
+    0x269ull << 10,
+
+    0x270ull << 10,
+    0x271ull << 10,
+    0x272ull << 10,
+    0x273ull << 10,
+    0x274ull << 10,
+    0x275ull << 10,
+    0x276ull << 10,
+    0x277ull << 10,
+    0x278ull << 10,
+    0x279ull << 10,
+
+    0x20aull << 10,
+    0x20bull << 10,
+    0x22aull << 10,
+    0x22bull << 10,
+    0x24aull << 10,
+    0x24bull << 10,
+    0x26aull << 10,
+    0x26bull << 10,
+    0x24eull << 10,
+    0x24full << 10,
+
+    0x21aull << 10,
+    0x21bull << 10,
+    0x23aull << 10,
+    0x23bull << 10,
+    0x25aull << 10,
+    0x25bull << 10,
+    0x27aull << 10,
+    0x27bull << 10,
+    0x25eull << 10,
+    0x25full << 10,
+
+    0x280ull << 10,
+    0x281ull << 10,
+    0x282ull << 10,
+    0x283ull << 10,
+    0x284ull << 10,
+    0x285ull << 10,
+    0x286ull << 10,
+    0x287ull << 10,
+    0x288ull << 10,
+    0x289ull << 10,
+
+    0x290ull << 10,
+    0x291ull << 10,
+    0x292ull << 10,
+    0x293ull << 10,
+    0x294ull << 10,
+    0x295ull << 10,
+    0x296ull << 10,
+    0x297ull << 10,
+    0x298ull << 10,
+    0x299ull << 10,
+
+    0x2a0ull << 10,
+    0x2a1ull << 10,
+    0x2a2ull << 10,
+    0x2a3ull << 10,
+    0x2a4ull << 10,
+    0x2a5ull << 10,
+    0x2a6ull << 10,
+    0x2a7ull << 10,
+    0x2a8ull << 10,
+    0x2a9ull << 10,
+
+    0x2b0ull << 10,
+    0x2b1ull << 10,
+    0x2b2ull << 10,
+    0x2b3ull << 10,
+    0x2b4ull << 10,
+    0x2b5ull << 10,
+    0x2b6ull << 10,
+    0x2b7ull << 10,
+    0x2b8ull << 10,
+    0x2b9ull << 10,
+
+    0x2c0ull << 10,
+    0x2c1ull << 10,
+    0x2c2ull << 10,
+    0x2c3ull << 10,
+    0x2c4ull << 10,
+    0x2c5ull << 10,
+    0x2c6ull << 10,
+    0x2c7ull << 10,
+    0x2c8ull << 10,
+    0x2c9ull << 10,
+
+    0x2d0ull << 10,
+    0x2d1ull << 10,
+    0x2d2ull << 10,
+    0x2d3ull << 10,
+    0x2d4ull << 10,
+    0x2d5ull << 10,
+    0x2d6ull << 10,
+    0x2d7ull << 10,
+    0x2d8ull << 10,
+    0x2d9ull << 10,
+
+    0x2e0ull << 10,
+    0x2e1ull << 10,
+    0x2e2ull << 10,
+    0x2e3ull << 10,
+    0x2e4ull << 10,
+    0x2e5ull << 10,
+    0x2e6ull << 10,
+    0x2e7ull << 10,
+    0x2e8ull << 10,
+    0x2e9ull << 10,
+
+    0x2f0ull << 10,
+    0x2f1ull << 10,
+    0x2f2ull << 10,
+    0x2f3ull << 10,
+    0x2f4ull << 10,
+    0x2f5ull << 10,
+    0x2f6ull << 10,
+    0x2f7ull << 10,
+    0x2f8ull << 10,
+    0x2f9ull << 10,
+
+    0x28aull << 10,
+    0x28bull << 10,
+    0x2aaull << 10,
+    0x2abull << 10,
+    0x2caull << 10,
+    0x2cbull << 10,
+    0x2eaull << 10,
+    0x2ebull << 10,
+    0x2ceull << 10,
+    0x2cfull << 10,
+
+    0x29aull << 10,
+    0x29bull << 10,
+    0x2baull << 10,
+    0x2bbull << 10,
+    0x2daull << 10,
+    0x2dbull << 10,
+    0x2faull << 10,
+    0x2fbull << 10,
+    0x2deull << 10,
+    0x2dfull << 10,
+
+    0x300ull << 10,
+    0x301ull << 10,
+    0x302ull << 10,
+    0x303ull << 10,
+    0x304ull << 10,
+    0x305ull << 10,
+    0x306ull << 10,
+    0x307ull << 10,
+    0x308ull << 10,
+    0x309ull << 10,
+
+    0x310ull << 10,
+    0x311ull << 10,
+    0x312ull << 10,
+    0x313ull << 10,
+    0x314ull << 10,
+    0x315ull << 10,
+    0x316ull << 10,
+    0x317ull << 10,
+    0x318ull << 10,
+    0x319ull << 10,
+
+    0x320ull << 10,
+    0x321ull << 10,
+    0x322ull << 10,
+    0x323ull << 10,
+    0x324ull << 10,
+    0x325ull << 10,
+    0x326ull << 10,
+    0x327ull << 10,
+    0x328ull << 10,
+    0x329ull << 10,
+
+    0x330ull << 10,
+    0x331ull << 10,
+    0x332ull << 10,
+    0x333ull << 10,
+    0x334ull << 10,
+    0x335ull << 10,
+    0x336ull << 10,
+    0x337ull << 10,
+    0x338ull << 10,
+    0x339ull << 10,
+
+    0x340ull << 10,
+    0x341ull << 10,
+    0x342ull << 10,
+    0x343ull << 10,
+    0x344ull << 10,
+    0x345ull << 10,
+    0x346ull << 10,
+    0x347ull << 10,
+    0x348ull << 10,
+    0x349ull << 10,
+
+    0x350ull << 10,
+    0x351ull << 10,
+    0x352ull << 10,
+    0x353ull << 10,
+    0x354ull << 10,
+    0x355ull << 10,
+    0x356ull << 10,
+    0x357ull << 10,
+    0x358ull << 10,
+    0x359ull << 10,
+
+    0x360ull << 10,
+    0x361ull << 10,
+    0x362ull << 10,
+    0x363ull << 10,
+    0x364ull << 10,
+    0x365ull << 10,
+    0x366ull << 10,
+    0x367ull << 10,
+    0x368ull << 10,
+    0x369ull << 10,
+
+    0x370ull << 10,
+    0x371ull << 10,
+    0x372ull << 10,
+    0x373ull << 10,
+    0x374ull << 10,
+    0x375ull << 10,
+    0x376ull << 10,
+    0x377ull << 10,
+    0x378ull << 10,
+    0x379ull << 10,
+
+    0x30aull << 10,
+    0x30bull << 10,
+    0x32aull << 10,
+    0x32bull << 10,
+    0x34aull << 10,
+    0x34bull << 10,
+    0x36aull << 10,
+    0x36bull << 10,
+    0x34eull << 10,
+    0x34full << 10,
+
+    0x31aull << 10,
+    0x31bull << 10,
+    0x33aull << 10,
+    0x33bull << 10,
+    0x35aull << 10,
+    0x35bull << 10,
+    0x37aull << 10,
+    0x37bull << 10,
+    0x35eull << 10,
+    0x35full << 10,
+
+    0x380ull << 10,
+    0x381ull << 10,
+    0x382ull << 10,
+    0x383ull << 10,
+    0x384ull << 10,
+    0x385ull << 10,
+    0x386ull << 10,
+    0x387ull << 10,
+    0x388ull << 10,
+    0x389ull << 10,
+
+    0x390ull << 10,
+    0x391ull << 10,
+    0x392ull << 10,
+    0x393ull << 10,
+    0x394ull << 10,
+    0x395ull << 10,
+    0x396ull << 10,
+    0x397ull << 10,
+    0x398ull << 10,
+    0x399ull << 10,
+
+    0x3a0ull << 10,
+    0x3a1ull << 10,
+    0x3a2ull << 10,
+    0x3a3ull << 10,
+    0x3a4ull << 10,
+    0x3a5ull << 10,
+    0x3a6ull << 10,
+    0x3a7ull << 10,
+    0x3a8ull << 10,
+    0x3a9ull << 10,
+
+    0x3b0ull << 10,
+    0x3b1ull << 10,
+    0x3b2ull << 10,
+    0x3b3ull << 10,
+    0x3b4ull << 10,
+    0x3b5ull << 10,
+    0x3b6ull << 10,
+    0x3b7ull << 10,
+    0x3b8ull << 10,
+    0x3b9ull << 10,
+
+    0x3c0ull << 10,
+    0x3c1ull << 10,
+    0x3c2ull << 10,
+    0x3c3ull << 10,
+    0x3c4ull << 10,
+    0x3c5ull << 10,
+    0x3c6ull << 10,
+    0x3c7ull << 10,
+    0x3c8ull << 10,
+    0x3c9ull << 10,
+
+    0x3d0ull << 10,
+    0x3d1ull << 10,
+    0x3d2ull << 10,
+    0x3d3ull << 10,
+    0x3d4ull << 10,
+    0x3d5ull << 10,
+    0x3d6ull << 10,
+    0x3d7ull << 10,
+    0x3d8ull << 10,
+    0x3d9ull << 10,
+
+    0x3e0ull << 10,
+    0x3e1ull << 10,
+    0x3e2ull << 10,
+    0x3e3ull << 10,
+    0x3e4ull << 10,
+    0x3e5ull << 10,
+    0x3e6ull << 10,
+    0x3e7ull << 10,
+    0x3e8ull << 10,
+    0x3e9ull << 10,
+
+    0x3f0ull << 10,
+    0x3f1ull << 10,
+    0x3f2ull << 10,
+    0x3f3ull << 10,
+    0x3f4ull << 10,
+    0x3f5ull << 10,
+    0x3f6ull << 10,
+    0x3f7ull << 10,
+    0x3f8ull << 10,
+    0x3f9ull << 10,
+
+    0x38aull << 10,
+    0x38bull << 10,
+    0x3aaull << 10,
+    0x3abull << 10,
+    0x3caull << 10,
+    0x3cbull << 10,
+    0x3eaull << 10,
+    0x3ebull << 10,
+    0x3ceull << 10,
+    0x3cfull << 10,
+
+    0x39aull << 10,
+    0x39bull << 10,
+    0x3baull << 10,
+    0x3bbull << 10,
+    0x3daull << 10,
+    0x3dbull << 10,
+    0x3faull << 10,
+    0x3fbull << 10,
+    0x3deull << 10,
+    0x3dfull << 10,
+
+    0x00cull << 10,
+    0x00dull << 10,
+    0x10cull << 10,
+    0x10dull << 10,
+    0x20cull << 10,
+    0x20dull << 10,
+    0x30cull << 10,
+    0x30dull << 10,
+    0x02eull << 10,
+    0x02full << 10,
+
+    0x01cull << 10,
+    0x01dull << 10,
+    0x11cull << 10,
+    0x11dull << 10,
+    0x21cull << 10,
+    0x21dull << 10,
+    0x31cull << 10,
+    0x31dull << 10,
+    0x03eull << 10,
+    0x03full << 10,
+
+    0x02cull << 10,
+    0x02dull << 10,
+    0x12cull << 10,
+    0x12dull << 10,
+    0x22cull << 10,
+    0x22dull << 10,
+    0x32cull << 10,
+    0x32dull << 10,
+    0x12eull << 10,
+    0x12full << 10,
+
+    0x03cull << 10,
+    0x03dull << 10,
+    0x13cull << 10,
+    0x13dull << 10,
+    0x23cull << 10,
+    0x23dull << 10,
+    0x33cull << 10,
+    0x33dull << 10,
+    0x13eull << 10,
+    0x13full << 10,
+
+    0x04cull << 10,
+    0x04dull << 10,
+    0x14cull << 10,
+    0x14dull << 10,
+    0x24cull << 10,
+    0x24dull << 10,
+    0x34cull << 10,
+    0x34dull << 10,
+    0x22eull << 10,
+    0x22full << 10,
+
+    0x05cull << 10,
+    0x05dull << 10,
+    0x15cull << 10,
+    0x15dull << 10,
+    0x25cull << 10,
+    0x25dull << 10,
+    0x35cull << 10,
+    0x35dull << 10,
+    0x23eull << 10,
+    0x23full << 10,
+
+    0x06cull << 10,
+    0x06dull << 10,
+    0x16cull << 10,
+    0x16dull << 10,
+    0x26cull << 10,
+    0x26dull << 10,
+    0x36cull << 10,
+    0x36dull << 10,
+    0x32eull << 10,
+    0x32full << 10,
+
+    0x07cull << 10,
+    0x07dull << 10,
+    0x17cull << 10,
+    0x17dull << 10,
+    0x27cull << 10,
+    0x27dull << 10,
+    0x37cull << 10,
+    0x37dull << 10,
+    0x33eull << 10,
+    0x33full << 10,
+
+    0x00eull << 10,
+    0x00full << 10,
+    0x10eull << 10,
+    0x10full << 10,
+    0x20eull << 10,
+    0x20full << 10,
+    0x30eull << 10,
+    0x30full << 10,
+    0x06eull << 10,
+    0x06full << 10,
+
+    0x01eull << 10,
+    0x01full << 10,
+    0x11eull << 10,
+    0x11full << 10,
+    0x21eull << 10,
+    0x21full << 10,
+    0x31eull << 10,
+    0x31full << 10,
+    0x07eull << 10,
+    0x07full << 10,
+
+    0x08cull << 10,
+    0x08dull << 10,
+    0x18cull << 10,
+    0x18dull << 10,
+    0x28cull << 10,
+    0x28dull << 10,
+    0x38cull << 10,
+    0x38dull << 10,
+    0x0aeull << 10,
+    0x0afull << 10,
+
+    0x09cull << 10,
+    0x09dull << 10,
+    0x19cull << 10,
+    0x19dull << 10,
+    0x29cull << 10,
+    0x29dull << 10,
+    0x39cull << 10,
+    0x39dull << 10,
+    0x0beull << 10,
+    0x0bfull << 10,
+
+    0x0acull << 10,
+    0x0adull << 10,
+    0x1acull << 10,
+    0x1adull << 10,
+    0x2acull << 10,
+    0x2adull << 10,
+    0x3acull << 10,
+    0x3adull << 10,
+    0x1aeull << 10,
+    0x1afull << 10,
+
+    0x0bcull << 10,
+    0x0bdull << 10,
+    0x1bcull << 10,
+    0x1bdull << 10,
+    0x2bcull << 10,
+    0x2bdull << 10,
+    0x3bcull << 10,
+    0x3bdull << 10,
+    0x1beull << 10,
+    0x1bfull << 10,
+
+    0x0ccull << 10,
+    0x0cdull << 10,
+    0x1ccull << 10,
+    0x1cdull << 10,
+    0x2ccull << 10,
+    0x2cdull << 10,
+    0x3ccull << 10,
+    0x3cdull << 10,
+    0x2aeull << 10,
+    0x2afull << 10,
+
+    0x0dcull << 10,
+    0x0ddull << 10,
+    0x1dcull << 10,
+    0x1ddull << 10,
+    0x2dcull << 10,
+    0x2ddull << 10,
+    0x3dcull << 10,
+    0x3ddull << 10,
+    0x2beull << 10,
+    0x2bfull << 10,
+
+    0x0ecull << 10,
+    0x0edull << 10,
+    0x1ecull << 10,
+    0x1edull << 10,
+    0x2ecull << 10,
+    0x2edull << 10,
+    0x3ecull << 10,
+    0x3edull << 10,
+    0x3aeull << 10,
+    0x3afull << 10,
+
+    0x0fcull << 10,
+    0x0fdull << 10,
+    0x1fcull << 10,
+    0x1fdull << 10,
+    0x2fcull << 10,
+    0x2fdull << 10,
+    0x3fcull << 10,
+    0x3fdull << 10,
+    0x3beull << 10,
+    0x3bfull << 10,
+
+    0x08eull << 10,
+    0x08full << 10,
+    0x18eull << 10,
+    0x18full << 10,
+    0x28eull << 10,
+    0x28full << 10,
+    0x38eull << 10,
+    0x38full << 10,
+    0x0eeull << 10,
+    0x0efull << 10,
+
+    0x09eull << 10,
+    0x09full << 10,
+    0x19eull << 10,
+    0x19full << 10,
+    0x29eull << 10,
+    0x29full << 10,
+    0x39eull << 10,
+    0x39full << 10,
+    0x0feull << 10,
+    0x0ffull << 10 
+};
+
+static const UINT64 b2d3[] = {
+    0x000ull << 20,
+    0x001ull << 20,
+    0x002ull << 20,
+    0x003ull << 20,
+    0x004ull << 20,
+    0x005ull << 20,
+    0x006ull << 20,
+    0x007ull << 20,
+    0x008ull << 20,
+    0x009ull << 20,
+
+    0x010ull << 20,
+    0x011ull << 20,
+    0x012ull << 20,
+    0x013ull << 20,
+    0x014ull << 20,
+    0x015ull << 20,
+    0x016ull << 20,
+    0x017ull << 20,
+    0x018ull << 20,
+    0x019ull << 20,
+
+    0x020ull << 20,
+    0x021ull << 20,
+    0x022ull << 20,
+    0x023ull << 20,
+    0x024ull << 20,
+    0x025ull << 20,
+    0x026ull << 20,
+    0x027ull << 20,
+    0x028ull << 20,
+    0x029ull << 20,
+
+    0x030ull << 20,
+    0x031ull << 20,
+    0x032ull << 20,
+    0x033ull << 20,
+    0x034ull << 20,
+    0x035ull << 20,
+    0x036ull << 20,
+    0x037ull << 20,
+    0x038ull << 20,
+    0x039ull << 20,
+
+    0x040ull << 20,
+    0x041ull << 20,
+    0x042ull << 20,
+    0x043ull << 20,
+    0x044ull << 20,
+    0x045ull << 20,
+    0x046ull << 20,
+    0x047ull << 20,
+    0x048ull << 20,
+    0x049ull << 20,
+
+    0x050ull << 20,
+    0x051ull << 20,
+    0x052ull << 20,
+    0x053ull << 20,
+    0x054ull << 20,
+    0x055ull << 20,
+    0x056ull << 20,
+    0x057ull << 20,
+    0x058ull << 20,
+    0x059ull << 20,
+
+    0x060ull << 20,
+    0x061ull << 20,
+    0x062ull << 20,
+    0x063ull << 20,
+    0x064ull << 20,
+    0x065ull << 20,
+    0x066ull << 20,
+    0x067ull << 20,
+    0x068ull << 20,
+    0x069ull << 20,
+
+    0x070ull << 20,
+    0x071ull << 20,
+    0x072ull << 20,
+    0x073ull << 20,
+    0x074ull << 20,
+    0x075ull << 20,
+    0x076ull << 20,
+    0x077ull << 20,
+    0x078ull << 20,
+    0x079ull << 20,
+
+    0x00aull << 20,
+    0x00bull << 20,
+    0x02aull << 20,
+    0x02bull << 20,
+    0x04aull << 20,
+    0x04bull << 20,
+    0x06aull << 20,
+    0x06bull << 20,
+    0x04eull << 20,
+    0x04full << 20,
+
+    0x01aull << 20,
+    0x01bull << 20,
+    0x03aull << 20,
+    0x03bull << 20,
+    0x05aull << 20,
+    0x05bull << 20,
+    0x07aull << 20,
+    0x07bull << 20,
+    0x05eull << 20,
+    0x05full << 20,
+
+    0x080ull << 20,
+    0x081ull << 20,
+    0x082ull << 20,
+    0x083ull << 20,
+    0x084ull << 20,
+    0x085ull << 20,
+    0x086ull << 20,
+    0x087ull << 20,
+    0x088ull << 20,
+    0x089ull << 20,
+
+    0x090ull << 20,
+    0x091ull << 20,
+    0x092ull << 20,
+    0x093ull << 20,
+    0x094ull << 20,
+    0x095ull << 20,
+    0x096ull << 20,
+    0x097ull << 20,
+    0x098ull << 20,
+    0x099ull << 20,
+
+    0x0a0ull << 20,
+    0x0a1ull << 20,
+    0x0a2ull << 20,
+    0x0a3ull << 20,
+    0x0a4ull << 20,
+    0x0a5ull << 20,
+    0x0a6ull << 20,
+    0x0a7ull << 20,
+    0x0a8ull << 20,
+    0x0a9ull << 20,
+
+    0x0b0ull << 20,
+    0x0b1ull << 20,
+    0x0b2ull << 20,
+    0x0b3ull << 20,
+    0x0b4ull << 20,
+    0x0b5ull << 20,
+    0x0b6ull << 20,
+    0x0b7ull << 20,
+    0x0b8ull << 20,
+    0x0b9ull << 20,
+
+    0x0c0ull << 20,
+    0x0c1ull << 20,
+    0x0c2ull << 20,
+    0x0c3ull << 20,
+    0x0c4ull << 20,
+    0x0c5ull << 20,
+    0x0c6ull << 20,
+    0x0c7ull << 20,
+    0x0c8ull << 20,
+    0x0c9ull << 20,
+
+    0x0d0ull << 20,
+    0x0d1ull << 20,
+    0x0d2ull << 20,
+    0x0d3ull << 20,
+    0x0d4ull << 20,
+    0x0d5ull << 20,
+    0x0d6ull << 20,
+    0x0d7ull << 20,
+    0x0d8ull << 20,
+    0x0d9ull << 20,
+
+    0x0e0ull << 20,
+    0x0e1ull << 20,
+    0x0e2ull << 20,
+    0x0e3ull << 20,
+    0x0e4ull << 20,
+    0x0e5ull << 20,
+    0x0e6ull << 20,
+    0x0e7ull << 20,
+    0x0e8ull << 20,
+    0x0e9ull << 20,
+
+    0x0f0ull << 20,
+    0x0f1ull << 20,
+    0x0f2ull << 20,
+    0x0f3ull << 20,
+    0x0f4ull << 20,
+    0x0f5ull << 20,
+    0x0f6ull << 20,
+    0x0f7ull << 20,
+    0x0f8ull << 20,
+    0x0f9ull << 20,
+
+    0x08aull << 20,
+    0x08bull << 20,
+    0x0aaull << 20,
+    0x0abull << 20,
+    0x0caull << 20,
+    0x0cbull << 20,
+    0x0eaull << 20,
+    0x0ebull << 20,
+    0x0ceull << 20,
+    0x0cfull << 20,
+
+    0x09aull << 20,
+    0x09bull << 20,
+    0x0baull << 20,
+    0x0bbull << 20,
+    0x0daull << 20,
+    0x0dbull << 20,
+    0x0faull << 20,
+    0x0fbull << 20,
+    0x0deull << 20,
+    0x0dfull << 20,
+
+    0x100ull << 20,
+    0x101ull << 20,
+    0x102ull << 20,
+    0x103ull << 20,
+    0x104ull << 20,
+    0x105ull << 20,
+    0x106ull << 20,
+    0x107ull << 20,
+    0x108ull << 20,
+    0x109ull << 20,
+
+    0x110ull << 20,
+    0x111ull << 20,
+    0x112ull << 20,
+    0x113ull << 20,
+    0x114ull << 20,
+    0x115ull << 20,
+    0x116ull << 20,
+    0x117ull << 20,
+    0x118ull << 20,
+    0x119ull << 20,
+
+    0x120ull << 20,
+    0x121ull << 20,
+    0x122ull << 20,
+    0x123ull << 20,
+    0x124ull << 20,
+    0x125ull << 20,
+    0x126ull << 20,
+    0x127ull << 20,
+    0x128ull << 20,
+    0x129ull << 20,
+
+    0x130ull << 20,
+    0x131ull << 20,
+    0x132ull << 20,
+    0x133ull << 20,
+    0x134ull << 20,
+    0x135ull << 20,
+    0x136ull << 20,
+    0x137ull << 20,
+    0x138ull << 20,
+    0x139ull << 20,
+
+    0x140ull << 20,
+    0x141ull << 20,
+    0x142ull << 20,
+    0x143ull << 20,
+    0x144ull << 20,
+    0x145ull << 20,
+    0x146ull << 20,
+    0x147ull << 20,
+    0x148ull << 20,
+    0x149ull << 20,
+
+    0x150ull << 20,
+    0x151ull << 20,
+    0x152ull << 20,
+    0x153ull << 20,
+    0x154ull << 20,
+    0x155ull << 20,
+    0x156ull << 20,
+    0x157ull << 20,
+    0x158ull << 20,
+    0x159ull << 20,
+
+    0x160ull << 20,
+    0x161ull << 20,
+    0x162ull << 20,
+    0x163ull << 20,
+    0x164ull << 20,
+    0x165ull << 20,
+    0x166ull << 20,
+    0x167ull << 20,
+    0x168ull << 20,
+    0x169ull << 20,
+
+    0x170ull << 20,
+    0x171ull << 20,
+    0x172ull << 20,
+    0x173ull << 20,
+    0x174ull << 20,
+    0x175ull << 20,
+    0x176ull << 20,
+    0x177ull << 20,
+    0x178ull << 20,
+    0x179ull << 20,
+
+    0x10aull << 20,
+    0x10bull << 20,
+    0x12aull << 20,
+    0x12bull << 20,
+    0x14aull << 20,
+    0x14bull << 20,
+    0x16aull << 20,
+    0x16bull << 20,
+    0x14eull << 20,
+    0x14full << 20,
+
+    0x11aull << 20,
+    0x11bull << 20,
+    0x13aull << 20,
+    0x13bull << 20,
+    0x15aull << 20,
+    0x15bull << 20,
+    0x17aull << 20,
+    0x17bull << 20,
+    0x15eull << 20,
+    0x15full << 20,
+
+    0x180ull << 20,
+    0x181ull << 20,
+    0x182ull << 20,
+    0x183ull << 20,
+    0x184ull << 20,
+    0x185ull << 20,
+    0x186ull << 20,
+    0x187ull << 20,
+    0x188ull << 20,
+    0x189ull << 20,
+
+    0x190ull << 20,
+    0x191ull << 20,
+    0x192ull << 20,
+    0x193ull << 20,
+    0x194ull << 20,
+    0x195ull << 20,
+    0x196ull << 20,
+    0x197ull << 20,
+    0x198ull << 20,
+    0x199ull << 20,
+
+    0x1a0ull << 20,
+    0x1a1ull << 20,
+    0x1a2ull << 20,
+    0x1a3ull << 20,
+    0x1a4ull << 20,
+    0x1a5ull << 20,
+    0x1a6ull << 20,
+    0x1a7ull << 20,
+    0x1a8ull << 20,
+    0x1a9ull << 20,
+
+    0x1b0ull << 20,
+    0x1b1ull << 20,
+    0x1b2ull << 20,
+    0x1b3ull << 20,
+    0x1b4ull << 20,
+    0x1b5ull << 20,
+    0x1b6ull << 20,
+    0x1b7ull << 20,
+    0x1b8ull << 20,
+    0x1b9ull << 20,
+
+    0x1c0ull << 20,
+    0x1c1ull << 20,
+    0x1c2ull << 20,
+    0x1c3ull << 20,
+    0x1c4ull << 20,
+    0x1c5ull << 20,
+    0x1c6ull << 20,
+    0x1c7ull << 20,
+    0x1c8ull << 20,
+    0x1c9ull << 20,
+
+    0x1d0ull << 20,
+    0x1d1ull << 20,
+    0x1d2ull << 20,
+    0x1d3ull << 20,
+    0x1d4ull << 20,
+    0x1d5ull << 20,
+    0x1d6ull << 20,
+    0x1d7ull << 20,
+    0x1d8ull << 20,
+    0x1d9ull << 20,
+
+    0x1e0ull << 20,
+    0x1e1ull << 20,
+    0x1e2ull << 20,
+    0x1e3ull << 20,
+    0x1e4ull << 20,
+    0x1e5ull << 20,
+    0x1e6ull << 20,
+    0x1e7ull << 20,
+    0x1e8ull << 20,
+    0x1e9ull << 20,
+
+    0x1f0ull << 20,
+    0x1f1ull << 20,
+    0x1f2ull << 20,
+    0x1f3ull << 20,
+    0x1f4ull << 20,
+    0x1f5ull << 20,
+    0x1f6ull << 20,
+    0x1f7ull << 20,
+    0x1f8ull << 20,
+    0x1f9ull << 20,
+
+    0x18aull << 20,
+    0x18bull << 20,
+    0x1aaull << 20,
+    0x1abull << 20,
+    0x1caull << 20,
+    0x1cbull << 20,
+    0x1eaull << 20,
+    0x1ebull << 20,
+    0x1ceull << 20,
+    0x1cfull << 20,
+
+    0x19aull << 20,
+    0x19bull << 20,
+    0x1baull << 20,
+    0x1bbull << 20,
+    0x1daull << 20,
+    0x1dbull << 20,
+    0x1faull << 20,
+    0x1fbull << 20,
+    0x1deull << 20,
+    0x1dfull << 20,
+
+    0x200ull << 20,
+    0x201ull << 20,
+    0x202ull << 20,
+    0x203ull << 20,
+    0x204ull << 20,
+    0x205ull << 20,
+    0x206ull << 20,
+    0x207ull << 20,
+    0x208ull << 20,
+    0x209ull << 20,
+
+    0x210ull << 20,
+    0x211ull << 20,
+    0x212ull << 20,
+    0x213ull << 20,
+    0x214ull << 20,
+    0x215ull << 20,
+    0x216ull << 20,
+    0x217ull << 20,
+    0x218ull << 20,
+    0x219ull << 20,
+
+    0x220ull << 20,
+    0x221ull << 20,
+    0x222ull << 20,
+    0x223ull << 20,
+    0x224ull << 20,
+    0x225ull << 20,
+    0x226ull << 20,
+    0x227ull << 20,
+    0x228ull << 20,
+    0x229ull << 20,
+
+    0x230ull << 20,
+    0x231ull << 20,
+    0x232ull << 20,
+    0x233ull << 20,
+    0x234ull << 20,
+    0x235ull << 20,
+    0x236ull << 20,
+    0x237ull << 20,
+    0x238ull << 20,
+    0x239ull << 20,
+
+    0x240ull << 20,
+    0x241ull << 20,
+    0x242ull << 20,
+    0x243ull << 20,
+    0x244ull << 20,
+    0x245ull << 20,
+    0x246ull << 20,
+    0x247ull << 20,
+    0x248ull << 20,
+    0x249ull << 20,
+
+    0x250ull << 20,
+    0x251ull << 20,
+    0x252ull << 20,
+    0x253ull << 20,
+    0x254ull << 20,
+    0x255ull << 20,
+    0x256ull << 20,
+    0x257ull << 20,
+    0x258ull << 20,
+    0x259ull << 20,
+
+    0x260ull << 20,
+    0x261ull << 20,
+    0x262ull << 20,
+    0x263ull << 20,
+    0x264ull << 20,
+    0x265ull << 20,
+    0x266ull << 20,
+    0x267ull << 20,
+    0x268ull << 20,
+    0x269ull << 20,
+
+    0x270ull << 20,
+    0x271ull << 20,
+    0x272ull << 20,
+    0x273ull << 20,
+    0x274ull << 20,
+    0x275ull << 20,
+    0x276ull << 20,
+    0x277ull << 20,
+    0x278ull << 20,
+    0x279ull << 20,
+
+    0x20aull << 20,
+    0x20bull << 20,
+    0x22aull << 20,
+    0x22bull << 20,
+    0x24aull << 20,
+    0x24bull << 20,
+    0x26aull << 20,
+    0x26bull << 20,
+    0x24eull << 20,
+    0x24full << 20,
+
+    0x21aull << 20,
+    0x21bull << 20,
+    0x23aull << 20,
+    0x23bull << 20,
+    0x25aull << 20,
+    0x25bull << 20,
+    0x27aull << 20,
+    0x27bull << 20,
+    0x25eull << 20,
+    0x25full << 20,
+
+    0x280ull << 20,
+    0x281ull << 20,
+    0x282ull << 20,
+    0x283ull << 20,
+    0x284ull << 20,
+    0x285ull << 20,
+    0x286ull << 20,
+    0x287ull << 20,
+    0x288ull << 20,
+    0x289ull << 20,
+
+    0x290ull << 20,
+    0x291ull << 20,
+    0x292ull << 20,
+    0x293ull << 20,
+    0x294ull << 20,
+    0x295ull << 20,
+    0x296ull << 20,
+    0x297ull << 20,
+    0x298ull << 20,
+    0x299ull << 20,
+
+    0x2a0ull << 20,
+    0x2a1ull << 20,
+    0x2a2ull << 20,
+    0x2a3ull << 20,
+    0x2a4ull << 20,
+    0x2a5ull << 20,
+    0x2a6ull << 20,
+    0x2a7ull << 20,
+    0x2a8ull << 20,
+    0x2a9ull << 20,
+
+    0x2b0ull << 20,
+    0x2b1ull << 20,
+    0x2b2ull << 20,
+    0x2b3ull << 20,
+    0x2b4ull << 20,
+    0x2b5ull << 20,
+    0x2b6ull << 20,
+    0x2b7ull << 20,
+    0x2b8ull << 20,
+    0x2b9ull << 20,
+
+    0x2c0ull << 20,
+    0x2c1ull << 20,
+    0x2c2ull << 20,
+    0x2c3ull << 20,
+    0x2c4ull << 20,
+    0x2c5ull << 20,
+    0x2c6ull << 20,
+    0x2c7ull << 20,
+    0x2c8ull << 20,
+    0x2c9ull << 20,
+
+    0x2d0ull << 20,
+    0x2d1ull << 20,
+    0x2d2ull << 20,
+    0x2d3ull << 20,
+    0x2d4ull << 20,
+    0x2d5ull << 20,
+    0x2d6ull << 20,
+    0x2d7ull << 20,
+    0x2d8ull << 20,
+    0x2d9ull << 20,
+
+    0x2e0ull << 20,
+    0x2e1ull << 20,
+    0x2e2ull << 20,
+    0x2e3ull << 20,
+    0x2e4ull << 20,
+    0x2e5ull << 20,
+    0x2e6ull << 20,
+    0x2e7ull << 20,
+    0x2e8ull << 20,
+    0x2e9ull << 20,
+
+    0x2f0ull << 20,
+    0x2f1ull << 20,
+    0x2f2ull << 20,
+    0x2f3ull << 20,
+    0x2f4ull << 20,
+    0x2f5ull << 20,
+    0x2f6ull << 20,
+    0x2f7ull << 20,
+    0x2f8ull << 20,
+    0x2f9ull << 20,
+
+    0x28aull << 20,
+    0x28bull << 20,
+    0x2aaull << 20,
+    0x2abull << 20,
+    0x2caull << 20,
+    0x2cbull << 20,
+    0x2eaull << 20,
+    0x2ebull << 20,
+    0x2ceull << 20,
+    0x2cfull << 20,
+
+    0x29aull << 20,
+    0x29bull << 20,
+    0x2baull << 20,
+    0x2bbull << 20,
+    0x2daull << 20,
+    0x2dbull << 20,
+    0x2faull << 20,
+    0x2fbull << 20,
+    0x2deull << 20,
+    0x2dfull << 20,
+
+    0x300ull << 20,
+    0x301ull << 20,
+    0x302ull << 20,
+    0x303ull << 20,
+    0x304ull << 20,
+    0x305ull << 20,
+    0x306ull << 20,
+    0x307ull << 20,
+    0x308ull << 20,
+    0x309ull << 20,
+
+    0x310ull << 20,
+    0x311ull << 20,
+    0x312ull << 20,
+    0x313ull << 20,
+    0x314ull << 20,
+    0x315ull << 20,
+    0x316ull << 20,
+    0x317ull << 20,
+    0x318ull << 20,
+    0x319ull << 20,
+
+    0x320ull << 20,
+    0x321ull << 20,
+    0x322ull << 20,
+    0x323ull << 20,
+    0x324ull << 20,
+    0x325ull << 20,
+    0x326ull << 20,
+    0x327ull << 20,
+    0x328ull << 20,
+    0x329ull << 20,
+
+    0x330ull << 20,
+    0x331ull << 20,
+    0x332ull << 20,
+    0x333ull << 20,
+    0x334ull << 20,
+    0x335ull << 20,
+    0x336ull << 20,
+    0x337ull << 20,
+    0x338ull << 20,
+    0x339ull << 20,
+
+    0x340ull << 20,
+    0x341ull << 20,
+    0x342ull << 20,
+    0x343ull << 20,
+    0x344ull << 20,
+    0x345ull << 20,
+    0x346ull << 20,
+    0x347ull << 20,
+    0x348ull << 20,
+    0x349ull << 20,
+
+    0x350ull << 20,
+    0x351ull << 20,
+    0x352ull << 20,
+    0x353ull << 20,
+    0x354ull << 20,
+    0x355ull << 20,
+    0x356ull << 20,
+    0x357ull << 20,
+    0x358ull << 20,
+    0x359ull << 20,
+
+    0x360ull << 20,
+    0x361ull << 20,
+    0x362ull << 20,
+    0x363ull << 20,
+    0x364ull << 20,
+    0x365ull << 20,
+    0x366ull << 20,
+    0x367ull << 20,
+    0x368ull << 20,
+    0x369ull << 20,
+
+    0x370ull << 20,
+    0x371ull << 20,
+    0x372ull << 20,
+    0x373ull << 20,
+    0x374ull << 20,
+    0x375ull << 20,
+    0x376ull << 20,
+    0x377ull << 20,
+    0x378ull << 20,
+    0x379ull << 20,
+
+    0x30aull << 20,
+    0x30bull << 20,
+    0x32aull << 20,
+    0x32bull << 20,
+    0x34aull << 20,
+    0x34bull << 20,
+    0x36aull << 20,
+    0x36bull << 20,
+    0x34eull << 20,
+    0x34full << 20,
+
+    0x31aull << 20,
+    0x31bull << 20,
+    0x33aull << 20,
+    0x33bull << 20,
+    0x35aull << 20,
+    0x35bull << 20,
+    0x37aull << 20,
+    0x37bull << 20,
+    0x35eull << 20,
+    0x35full << 20,
+
+    0x380ull << 20,
+    0x381ull << 20,
+    0x382ull << 20,
+    0x383ull << 20,
+    0x384ull << 20,
+    0x385ull << 20,
+    0x386ull << 20,
+    0x387ull << 20,
+    0x388ull << 20,
+    0x389ull << 20,
+
+    0x390ull << 20,
+    0x391ull << 20,
+    0x392ull << 20,
+    0x393ull << 20,
+    0x394ull << 20,
+    0x395ull << 20,
+    0x396ull << 20,
+    0x397ull << 20,
+    0x398ull << 20,
+    0x399ull << 20,
+
+    0x3a0ull << 20,
+    0x3a1ull << 20,
+    0x3a2ull << 20,
+    0x3a3ull << 20,
+    0x3a4ull << 20,
+    0x3a5ull << 20,
+    0x3a6ull << 20,
+    0x3a7ull << 20,
+    0x3a8ull << 20,
+    0x3a9ull << 20,
+
+    0x3b0ull << 20,
+    0x3b1ull << 20,
+    0x3b2ull << 20,
+    0x3b3ull << 20,
+    0x3b4ull << 20,
+    0x3b5ull << 20,
+    0x3b6ull << 20,
+    0x3b7ull << 20,
+    0x3b8ull << 20,
+    0x3b9ull << 20,
+
+    0x3c0ull << 20,
+    0x3c1ull << 20,
+    0x3c2ull << 20,
+    0x3c3ull << 20,
+    0x3c4ull << 20,
+    0x3c5ull << 20,
+    0x3c6ull << 20,
+    0x3c7ull << 20,
+    0x3c8ull << 20,
+    0x3c9ull << 20,
+
+    0x3d0ull << 20,
+    0x3d1ull << 20,
+    0x3d2ull << 20,
+    0x3d3ull << 20,
+    0x3d4ull << 20,
+    0x3d5ull << 20,
+    0x3d6ull << 20,
+    0x3d7ull << 20,
+    0x3d8ull << 20,
+    0x3d9ull << 20,
+
+    0x3e0ull << 20,
+    0x3e1ull << 20,
+    0x3e2ull << 20,
+    0x3e3ull << 20,
+    0x3e4ull << 20,
+    0x3e5ull << 20,
+    0x3e6ull << 20,
+    0x3e7ull << 20,
+    0x3e8ull << 20,
+    0x3e9ull << 20,
+
+    0x3f0ull << 20,
+    0x3f1ull << 20,
+    0x3f2ull << 20,
+    0x3f3ull << 20,
+    0x3f4ull << 20,
+    0x3f5ull << 20,
+    0x3f6ull << 20,
+    0x3f7ull << 20,
+    0x3f8ull << 20,
+    0x3f9ull << 20,
+
+    0x38aull << 20,
+    0x38bull << 20,
+    0x3aaull << 20,
+    0x3abull << 20,
+    0x3caull << 20,
+    0x3cbull << 20,
+    0x3eaull << 20,
+    0x3ebull << 20,
+    0x3ceull << 20,
+    0x3cfull << 20,
+
+    0x39aull << 20,
+    0x39bull << 20,
+    0x3baull << 20,
+    0x3bbull << 20,
+    0x3daull << 20,
+    0x3dbull << 20,
+    0x3faull << 20,
+    0x3fbull << 20,
+    0x3deull << 20,
+    0x3dfull << 20,
+
+    0x00cull << 20,
+    0x00dull << 20,
+    0x10cull << 20,
+    0x10dull << 20,
+    0x20cull << 20,
+    0x20dull << 20,
+    0x30cull << 20,
+    0x30dull << 20,
+    0x02eull << 20,
+    0x02full << 20,
+
+    0x01cull << 20,
+    0x01dull << 20,
+    0x11cull << 20,
+    0x11dull << 20,
+    0x21cull << 20,
+    0x21dull << 20,
+    0x31cull << 20,
+    0x31dull << 20,
+    0x03eull << 20,
+    0x03full << 20,
+
+    0x02cull << 20,
+    0x02dull << 20,
+    0x12cull << 20,
+    0x12dull << 20,
+    0x22cull << 20,
+    0x22dull << 20,
+    0x32cull << 20,
+    0x32dull << 20,
+    0x12eull << 20,
+    0x12full << 20,
+
+    0x03cull << 20,
+    0x03dull << 20,
+    0x13cull << 20,
+    0x13dull << 20,
+    0x23cull << 20,
+    0x23dull << 20,
+    0x33cull << 20,
+    0x33dull << 20,
+    0x13eull << 20,
+    0x13full << 20,
+
+    0x04cull << 20,
+    0x04dull << 20,
+    0x14cull << 20,
+    0x14dull << 20,
+    0x24cull << 20,
+    0x24dull << 20,
+    0x34cull << 20,
+    0x34dull << 20,
+    0x22eull << 20,
+    0x22full << 20,
+
+    0x05cull << 20,
+    0x05dull << 20,
+    0x15cull << 20,
+    0x15dull << 20,
+    0x25cull << 20,
+    0x25dull << 20,
+    0x35cull << 20,
+    0x35dull << 20,
+    0x23eull << 20,
+    0x23full << 20,
+
+    0x06cull << 20,
+    0x06dull << 20,
+    0x16cull << 20,
+    0x16dull << 20,
+    0x26cull << 20,
+    0x26dull << 20,
+    0x36cull << 20,
+    0x36dull << 20,
+    0x32eull << 20,
+    0x32full << 20,
+
+    0x07cull << 20,
+    0x07dull << 20,
+    0x17cull << 20,
+    0x17dull << 20,
+    0x27cull << 20,
+    0x27dull << 20,
+    0x37cull << 20,
+    0x37dull << 20,
+    0x33eull << 20,
+    0x33full << 20,
+
+    0x00eull << 20,
+    0x00full << 20,
+    0x10eull << 20,
+    0x10full << 20,
+    0x20eull << 20,
+    0x20full << 20,
+    0x30eull << 20,
+    0x30full << 20,
+    0x06eull << 20,
+    0x06full << 20,
+
+    0x01eull << 20,
+    0x01full << 20,
+    0x11eull << 20,
+    0x11full << 20,
+    0x21eull << 20,
+    0x21full << 20,
+    0x31eull << 20,
+    0x31full << 20,
+    0x07eull << 20,
+    0x07full << 20,
+
+    0x08cull << 20,
+    0x08dull << 20,
+    0x18cull << 20,
+    0x18dull << 20,
+    0x28cull << 20,
+    0x28dull << 20,
+    0x38cull << 20,
+    0x38dull << 20,
+    0x0aeull << 20,
+    0x0afull << 20,
+
+    0x09cull << 20,
+    0x09dull << 20,
+    0x19cull << 20,
+    0x19dull << 20,
+    0x29cull << 20,
+    0x29dull << 20,
+    0x39cull << 20,
+    0x39dull << 20,
+    0x0beull << 20,
+    0x0bfull << 20,
+
+    0x0acull << 20,
+    0x0adull << 20,
+    0x1acull << 20,
+    0x1adull << 20,
+    0x2acull << 20,
+    0x2adull << 20,
+    0x3acull << 20,
+    0x3adull << 20,
+    0x1aeull << 20,
+    0x1afull << 20,
+
+    0x0bcull << 20,
+    0x0bdull << 20,
+    0x1bcull << 20,
+    0x1bdull << 20,
+    0x2bcull << 20,
+    0x2bdull << 20,
+    0x3bcull << 20,
+    0x3bdull << 20,
+    0x1beull << 20,
+    0x1bfull << 20,
+
+    0x0ccull << 20,
+    0x0cdull << 20,
+    0x1ccull << 20,
+    0x1cdull << 20,
+    0x2ccull << 20,
+    0x2cdull << 20,
+    0x3ccull << 20,
+    0x3cdull << 20,
+    0x2aeull << 20,
+    0x2afull << 20,
+
+    0x0dcull << 20,
+    0x0ddull << 20,
+    0x1dcull << 20,
+    0x1ddull << 20,
+    0x2dcull << 20,
+    0x2ddull << 20,
+    0x3dcull << 20,
+    0x3ddull << 20,
+    0x2beull << 20,
+    0x2bfull << 20,
+
+    0x0ecull << 20,
+    0x0edull << 20,
+    0x1ecull << 20,
+    0x1edull << 20,
+    0x2ecull << 20,
+    0x2edull << 20,
+    0x3ecull << 20,
+    0x3edull << 20,
+    0x3aeull << 20,
+    0x3afull << 20,
+
+    0x0fcull << 20,
+    0x0fdull << 20,
+    0x1fcull << 20,
+    0x1fdull << 20,
+    0x2fcull << 20,
+    0x2fdull << 20,
+    0x3fcull << 20,
+    0x3fdull << 20,
+    0x3beull << 20,
+    0x3bfull << 20,
+
+    0x08eull << 20,
+    0x08full << 20,
+    0x18eull << 20,
+    0x18full << 20,
+    0x28eull << 20,
+    0x28full << 20,
+    0x38eull << 20,
+    0x38full << 20,
+    0x0eeull << 20,
+    0x0efull << 20,
+
+    0x09eull << 20,
+    0x09full << 20,
+    0x19eull << 20,
+    0x19full << 20,
+    0x29eull << 20,
+    0x29full << 20,
+    0x39eull << 20,
+    0x39full << 20,
+    0x0feull << 20,
+    0x0ffull << 20 
+};
+
+static const UINT64 b2d4[] = {
+    0x000ull << 30,
+    0x001ull << 30,
+    0x002ull << 30,
+    0x003ull << 30,
+    0x004ull << 30,
+    0x005ull << 30,
+    0x006ull << 30,
+    0x007ull << 30,
+    0x008ull << 30,
+    0x009ull << 30,
+
+    0x010ull << 30,
+    0x011ull << 30,
+    0x012ull << 30,
+    0x013ull << 30,
+    0x014ull << 30,
+    0x015ull << 30,
+    0x016ull << 30,
+    0x017ull << 30,
+    0x018ull << 30,
+    0x019ull << 30,
+
+    0x020ull << 30,
+    0x021ull << 30,
+    0x022ull << 30,
+    0x023ull << 30,
+    0x024ull << 30,
+    0x025ull << 30,
+    0x026ull << 30,
+    0x027ull << 30,
+    0x028ull << 30,
+    0x029ull << 30,
+
+    0x030ull << 30,
+    0x031ull << 30,
+    0x032ull << 30,
+    0x033ull << 30,
+    0x034ull << 30,
+    0x035ull << 30,
+    0x036ull << 30,
+    0x037ull << 30,
+    0x038ull << 30,
+    0x039ull << 30,
+
+    0x040ull << 30,
+    0x041ull << 30,
+    0x042ull << 30,
+    0x043ull << 30,
+    0x044ull << 30,
+    0x045ull << 30,
+    0x046ull << 30,
+    0x047ull << 30,
+    0x048ull << 30,
+    0x049ull << 30,
+
+    0x050ull << 30,
+    0x051ull << 30,
+    0x052ull << 30,
+    0x053ull << 30,
+    0x054ull << 30,
+    0x055ull << 30,
+    0x056ull << 30,
+    0x057ull << 30,
+    0x058ull << 30,
+    0x059ull << 30,
+
+    0x060ull << 30,
+    0x061ull << 30,
+    0x062ull << 30,
+    0x063ull << 30,
+    0x064ull << 30,
+    0x065ull << 30,
+    0x066ull << 30,
+    0x067ull << 30,
+    0x068ull << 30,
+    0x069ull << 30,
+
+    0x070ull << 30,
+    0x071ull << 30,
+    0x072ull << 30,
+    0x073ull << 30,
+    0x074ull << 30,
+    0x075ull << 30,
+    0x076ull << 30,
+    0x077ull << 30,
+    0x078ull << 30,
+    0x079ull << 30,
+
+    0x00aull << 30,
+    0x00bull << 30,
+    0x02aull << 30,
+    0x02bull << 30,
+    0x04aull << 30,
+    0x04bull << 30,
+    0x06aull << 30,
+    0x06bull << 30,
+    0x04eull << 30,
+    0x04full << 30,
+
+    0x01aull << 30,
+    0x01bull << 30,
+    0x03aull << 30,
+    0x03bull << 30,
+    0x05aull << 30,
+    0x05bull << 30,
+    0x07aull << 30,
+    0x07bull << 30,
+    0x05eull << 30,
+    0x05full << 30,
+
+    0x080ull << 30,
+    0x081ull << 30,
+    0x082ull << 30,
+    0x083ull << 30,
+    0x084ull << 30,
+    0x085ull << 30,
+    0x086ull << 30,
+    0x087ull << 30,
+    0x088ull << 30,
+    0x089ull << 30,
+
+    0x090ull << 30,
+    0x091ull << 30,
+    0x092ull << 30,
+    0x093ull << 30,
+    0x094ull << 30,
+    0x095ull << 30,
+    0x096ull << 30,
+    0x097ull << 30,
+    0x098ull << 30,
+    0x099ull << 30,
+
+    0x0a0ull << 30,
+    0x0a1ull << 30,
+    0x0a2ull << 30,
+    0x0a3ull << 30,
+    0x0a4ull << 30,
+    0x0a5ull << 30,
+    0x0a6ull << 30,
+    0x0a7ull << 30,
+    0x0a8ull << 30,
+    0x0a9ull << 30,
+
+    0x0b0ull << 30,
+    0x0b1ull << 30,
+    0x0b2ull << 30,
+    0x0b3ull << 30,
+    0x0b4ull << 30,
+    0x0b5ull << 30,
+    0x0b6ull << 30,
+    0x0b7ull << 30,
+    0x0b8ull << 30,
+    0x0b9ull << 30,
+
+    0x0c0ull << 30,
+    0x0c1ull << 30,
+    0x0c2ull << 30,
+    0x0c3ull << 30,
+    0x0c4ull << 30,
+    0x0c5ull << 30,
+    0x0c6ull << 30,
+    0x0c7ull << 30,
+    0x0c8ull << 30,
+    0x0c9ull << 30,
+
+    0x0d0ull << 30,
+    0x0d1ull << 30,
+    0x0d2ull << 30,
+    0x0d3ull << 30,
+    0x0d4ull << 30,
+    0x0d5ull << 30,
+    0x0d6ull << 30,
+    0x0d7ull << 30,
+    0x0d8ull << 30,
+    0x0d9ull << 30,
+
+    0x0e0ull << 30,
+    0x0e1ull << 30,
+    0x0e2ull << 30,
+    0x0e3ull << 30,
+    0x0e4ull << 30,
+    0x0e5ull << 30,
+    0x0e6ull << 30,
+    0x0e7ull << 30,
+    0x0e8ull << 30,
+    0x0e9ull << 30,
+
+    0x0f0ull << 30,
+    0x0f1ull << 30,
+    0x0f2ull << 30,
+    0x0f3ull << 30,
+    0x0f4ull << 30,
+    0x0f5ull << 30,
+    0x0f6ull << 30,
+    0x0f7ull << 30,
+    0x0f8ull << 30,
+    0x0f9ull << 30,
+
+    0x08aull << 30,
+    0x08bull << 30,
+    0x0aaull << 30,
+    0x0abull << 30,
+    0x0caull << 30,
+    0x0cbull << 30,
+    0x0eaull << 30,
+    0x0ebull << 30,
+    0x0ceull << 30,
+    0x0cfull << 30,
+
+    0x09aull << 30,
+    0x09bull << 30,
+    0x0baull << 30,
+    0x0bbull << 30,
+    0x0daull << 30,
+    0x0dbull << 30,
+    0x0faull << 30,
+    0x0fbull << 30,
+    0x0deull << 30,
+    0x0dfull << 30,
+
+    0x100ull << 30,
+    0x101ull << 30,
+    0x102ull << 30,
+    0x103ull << 30,
+    0x104ull << 30,
+    0x105ull << 30,
+    0x106ull << 30,
+    0x107ull << 30,
+    0x108ull << 30,
+    0x109ull << 30,
+
+    0x110ull << 30,
+    0x111ull << 30,
+    0x112ull << 30,
+    0x113ull << 30,
+    0x114ull << 30,
+    0x115ull << 30,
+    0x116ull << 30,
+    0x117ull << 30,
+    0x118ull << 30,
+    0x119ull << 30,
+
+    0x120ull << 30,
+    0x121ull << 30,
+    0x122ull << 30,
+    0x123ull << 30,
+    0x124ull << 30,
+    0x125ull << 30,
+    0x126ull << 30,
+    0x127ull << 30,
+    0x128ull << 30,
+    0x129ull << 30,
+
+    0x130ull << 30,
+    0x131ull << 30,
+    0x132ull << 30,
+    0x133ull << 30,
+    0x134ull << 30,
+    0x135ull << 30,
+    0x136ull << 30,
+    0x137ull << 30,
+    0x138ull << 30,
+    0x139ull << 30,
+
+    0x140ull << 30,
+    0x141ull << 30,
+    0x142ull << 30,
+    0x143ull << 30,
+    0x144ull << 30,
+    0x145ull << 30,
+    0x146ull << 30,
+    0x147ull << 30,
+    0x148ull << 30,
+    0x149ull << 30,
+
+    0x150ull << 30,
+    0x151ull << 30,
+    0x152ull << 30,
+    0x153ull << 30,
+    0x154ull << 30,
+    0x155ull << 30,
+    0x156ull << 30,
+    0x157ull << 30,
+    0x158ull << 30,
+    0x159ull << 30,
+
+    0x160ull << 30,
+    0x161ull << 30,
+    0x162ull << 30,
+    0x163ull << 30,
+    0x164ull << 30,
+    0x165ull << 30,
+    0x166ull << 30,
+    0x167ull << 30,
+    0x168ull << 30,
+    0x169ull << 30,
+
+    0x170ull << 30,
+    0x171ull << 30,
+    0x172ull << 30,
+    0x173ull << 30,
+    0x174ull << 30,
+    0x175ull << 30,
+    0x176ull << 30,
+    0x177ull << 30,
+    0x178ull << 30,
+    0x179ull << 30,
+
+    0x10aull << 30,
+    0x10bull << 30,
+    0x12aull << 30,
+    0x12bull << 30,
+    0x14aull << 30,
+    0x14bull << 30,
+    0x16aull << 30,
+    0x16bull << 30,
+    0x14eull << 30,
+    0x14full << 30,
+
+    0x11aull << 30,
+    0x11bull << 30,
+    0x13aull << 30,
+    0x13bull << 30,
+    0x15aull << 30,
+    0x15bull << 30,
+    0x17aull << 30,
+    0x17bull << 30,
+    0x15eull << 30,
+    0x15full << 30,
+
+    0x180ull << 30,
+    0x181ull << 30,
+    0x182ull << 30,
+    0x183ull << 30,
+    0x184ull << 30,
+    0x185ull << 30,
+    0x186ull << 30,
+    0x187ull << 30,
+    0x188ull << 30,
+    0x189ull << 30,
+
+    0x190ull << 30,
+    0x191ull << 30,
+    0x192ull << 30,
+    0x193ull << 30,
+    0x194ull << 30,
+    0x195ull << 30,
+    0x196ull << 30,
+    0x197ull << 30,
+    0x198ull << 30,
+    0x199ull << 30,
+
+    0x1a0ull << 30,
+    0x1a1ull << 30,
+    0x1a2ull << 30,
+    0x1a3ull << 30,
+    0x1a4ull << 30,
+    0x1a5ull << 30,
+    0x1a6ull << 30,
+    0x1a7ull << 30,
+    0x1a8ull << 30,
+    0x1a9ull << 30,
+
+    0x1b0ull << 30,
+    0x1b1ull << 30,
+    0x1b2ull << 30,
+    0x1b3ull << 30,
+    0x1b4ull << 30,
+    0x1b5ull << 30,
+    0x1b6ull << 30,
+    0x1b7ull << 30,
+    0x1b8ull << 30,
+    0x1b9ull << 30,
+
+    0x1c0ull << 30,
+    0x1c1ull << 30,
+    0x1c2ull << 30,
+    0x1c3ull << 30,
+    0x1c4ull << 30,
+    0x1c5ull << 30,
+    0x1c6ull << 30,
+    0x1c7ull << 30,
+    0x1c8ull << 30,
+    0x1c9ull << 30,
+
+    0x1d0ull << 30,
+    0x1d1ull << 30,
+    0x1d2ull << 30,
+    0x1d3ull << 30,
+    0x1d4ull << 30,
+    0x1d5ull << 30,
+    0x1d6ull << 30,
+    0x1d7ull << 30,
+    0x1d8ull << 30,
+    0x1d9ull << 30,
+
+    0x1e0ull << 30,
+    0x1e1ull << 30,
+    0x1e2ull << 30,
+    0x1e3ull << 30,
+    0x1e4ull << 30,
+    0x1e5ull << 30,
+    0x1e6ull << 30,
+    0x1e7ull << 30,
+    0x1e8ull << 30,
+    0x1e9ull << 30,
+
+    0x1f0ull << 30,
+    0x1f1ull << 30,
+    0x1f2ull << 30,
+    0x1f3ull << 30,
+    0x1f4ull << 30,
+    0x1f5ull << 30,
+    0x1f6ull << 30,
+    0x1f7ull << 30,
+    0x1f8ull << 30,
+    0x1f9ull << 30,
+
+    0x18aull << 30,
+    0x18bull << 30,
+    0x1aaull << 30,
+    0x1abull << 30,
+    0x1caull << 30,
+    0x1cbull << 30,
+    0x1eaull << 30,
+    0x1ebull << 30,
+    0x1ceull << 30,
+    0x1cfull << 30,
+
+    0x19aull << 30,
+    0x19bull << 30,
+    0x1baull << 30,
+    0x1bbull << 30,
+    0x1daull << 30,
+    0x1dbull << 30,
+    0x1faull << 30,
+    0x1fbull << 30,
+    0x1deull << 30,
+    0x1dfull << 30,
+
+    0x200ull << 30,
+    0x201ull << 30,
+    0x202ull << 30,
+    0x203ull << 30,
+    0x204ull << 30,
+    0x205ull << 30,
+    0x206ull << 30,
+    0x207ull << 30,
+    0x208ull << 30,
+    0x209ull << 30,
+
+    0x210ull << 30,
+    0x211ull << 30,
+    0x212ull << 30,
+    0x213ull << 30,
+    0x214ull << 30,
+    0x215ull << 30,
+    0x216ull << 30,
+    0x217ull << 30,
+    0x218ull << 30,
+    0x219ull << 30,
+
+    0x220ull << 30,
+    0x221ull << 30,
+    0x222ull << 30,
+    0x223ull << 30,
+    0x224ull << 30,
+    0x225ull << 30,
+    0x226ull << 30,
+    0x227ull << 30,
+    0x228ull << 30,
+    0x229ull << 30,
+
+    0x230ull << 30,
+    0x231ull << 30,
+    0x232ull << 30,
+    0x233ull << 30,
+    0x234ull << 30,
+    0x235ull << 30,
+    0x236ull << 30,
+    0x237ull << 30,
+    0x238ull << 30,
+    0x239ull << 30,
+
+    0x240ull << 30,
+    0x241ull << 30,
+    0x242ull << 30,
+    0x243ull << 30,
+    0x244ull << 30,
+    0x245ull << 30,
+    0x246ull << 30,
+    0x247ull << 30,
+    0x248ull << 30,
+    0x249ull << 30,
+
+    0x250ull << 30,
+    0x251ull << 30,
+    0x252ull << 30,
+    0x253ull << 30,
+    0x254ull << 30,
+    0x255ull << 30,
+    0x256ull << 30,
+    0x257ull << 30,
+    0x258ull << 30,
+    0x259ull << 30,
+
+    0x260ull << 30,
+    0x261ull << 30,
+    0x262ull << 30,
+    0x263ull << 30,
+    0x264ull << 30,
+    0x265ull << 30,
+    0x266ull << 30,
+    0x267ull << 30,
+    0x268ull << 30,
+    0x269ull << 30,
+
+    0x270ull << 30,
+    0x271ull << 30,
+    0x272ull << 30,
+    0x273ull << 30,
+    0x274ull << 30,
+    0x275ull << 30,
+    0x276ull << 30,
+    0x277ull << 30,
+    0x278ull << 30,
+    0x279ull << 30,
+
+    0x20aull << 30,
+    0x20bull << 30,
+    0x22aull << 30,
+    0x22bull << 30,
+    0x24aull << 30,
+    0x24bull << 30,
+    0x26aull << 30,
+    0x26bull << 30,
+    0x24eull << 30,
+    0x24full << 30,
+
+    0x21aull << 30,
+    0x21bull << 30,
+    0x23aull << 30,
+    0x23bull << 30,
+    0x25aull << 30,
+    0x25bull << 30,
+    0x27aull << 30,
+    0x27bull << 30,
+    0x25eull << 30,
+    0x25full << 30,
+
+    0x280ull << 30,
+    0x281ull << 30,
+    0x282ull << 30,
+    0x283ull << 30,
+    0x284ull << 30,
+    0x285ull << 30,
+    0x286ull << 30,
+    0x287ull << 30,
+    0x288ull << 30,
+    0x289ull << 30,
+
+    0x290ull << 30,
+    0x291ull << 30,
+    0x292ull << 30,
+    0x293ull << 30,
+    0x294ull << 30,
+    0x295ull << 30,
+    0x296ull << 30,
+    0x297ull << 30,
+    0x298ull << 30,
+    0x299ull << 30,
+
+    0x2a0ull << 30,
+    0x2a1ull << 30,
+    0x2a2ull << 30,
+    0x2a3ull << 30,
+    0x2a4ull << 30,
+    0x2a5ull << 30,
+    0x2a6ull << 30,
+    0x2a7ull << 30,
+    0x2a8ull << 30,
+    0x2a9ull << 30,
+
+    0x2b0ull << 30,
+    0x2b1ull << 30,
+    0x2b2ull << 30,
+    0x2b3ull << 30,
+    0x2b4ull << 30,
+    0x2b5ull << 30,
+    0x2b6ull << 30,
+    0x2b7ull << 30,
+    0x2b8ull << 30,
+    0x2b9ull << 30,
+
+    0x2c0ull << 30,
+    0x2c1ull << 30,
+    0x2c2ull << 30,
+    0x2c3ull << 30,
+    0x2c4ull << 30,
+    0x2c5ull << 30,
+    0x2c6ull << 30,
+    0x2c7ull << 30,
+    0x2c8ull << 30,
+    0x2c9ull << 30,
+
+    0x2d0ull << 30,
+    0x2d1ull << 30,
+    0x2d2ull << 30,
+    0x2d3ull << 30,
+    0x2d4ull << 30,
+    0x2d5ull << 30,
+    0x2d6ull << 30,
+    0x2d7ull << 30,
+    0x2d8ull << 30,
+    0x2d9ull << 30,
+
+    0x2e0ull << 30,
+    0x2e1ull << 30,
+    0x2e2ull << 30,
+    0x2e3ull << 30,
+    0x2e4ull << 30,
+    0x2e5ull << 30,
+    0x2e6ull << 30,
+    0x2e7ull << 30,
+    0x2e8ull << 30,
+    0x2e9ull << 30,
+
+    0x2f0ull << 30,
+    0x2f1ull << 30,
+    0x2f2ull << 30,
+    0x2f3ull << 30,
+    0x2f4ull << 30,
+    0x2f5ull << 30,
+    0x2f6ull << 30,
+    0x2f7ull << 30,
+    0x2f8ull << 30,
+    0x2f9ull << 30,
+
+    0x28aull << 30,
+    0x28bull << 30,
+    0x2aaull << 30,
+    0x2abull << 30,
+    0x2caull << 30,
+    0x2cbull << 30,
+    0x2eaull << 30,
+    0x2ebull << 30,
+    0x2ceull << 30,
+    0x2cfull << 30,
+
+    0x29aull << 30,
+    0x29bull << 30,
+    0x2baull << 30,
+    0x2bbull << 30,
+    0x2daull << 30,
+    0x2dbull << 30,
+    0x2faull << 30,
+    0x2fbull << 30,
+    0x2deull << 30,
+    0x2dfull << 30,
+
+    0x300ull << 30,
+    0x301ull << 30,
+    0x302ull << 30,
+    0x303ull << 30,
+    0x304ull << 30,
+    0x305ull << 30,
+    0x306ull << 30,
+    0x307ull << 30,
+    0x308ull << 30,
+    0x309ull << 30,
+
+    0x310ull << 30,
+    0x311ull << 30,
+    0x312ull << 30,
+    0x313ull << 30,
+    0x314ull << 30,
+    0x315ull << 30,
+    0x316ull << 30,
+    0x317ull << 30,
+    0x318ull << 30,
+    0x319ull << 30,
+
+    0x320ull << 30,
+    0x321ull << 30,
+    0x322ull << 30,
+    0x323ull << 30,
+    0x324ull << 30,
+    0x325ull << 30,
+    0x326ull << 30,
+    0x327ull << 30,
+    0x328ull << 30,
+    0x329ull << 30,
+
+    0x330ull << 30,
+    0x331ull << 30,
+    0x332ull << 30,
+    0x333ull << 30,
+    0x334ull << 30,
+    0x335ull << 30,
+    0x336ull << 30,
+    0x337ull << 30,
+    0x338ull << 30,
+    0x339ull << 30,
+
+    0x340ull << 30,
+    0x341ull << 30,
+    0x342ull << 30,
+    0x343ull << 30,
+    0x344ull << 30,
+    0x345ull << 30,
+    0x346ull << 30,
+    0x347ull << 30,
+    0x348ull << 30,
+    0x349ull << 30,
+
+    0x350ull << 30,
+    0x351ull << 30,
+    0x352ull << 30,
+    0x353ull << 30,
+    0x354ull << 30,
+    0x355ull << 30,
+    0x356ull << 30,
+    0x357ull << 30,
+    0x358ull << 30,
+    0x359ull << 30,
+
+    0x360ull << 30,
+    0x361ull << 30,
+    0x362ull << 30,
+    0x363ull << 30,
+    0x364ull << 30,
+    0x365ull << 30,
+    0x366ull << 30,
+    0x367ull << 30,
+    0x368ull << 30,
+    0x369ull << 30,
+
+    0x370ull << 30,
+    0x371ull << 30,
+    0x372ull << 30,
+    0x373ull << 30,
+    0x374ull << 30,
+    0x375ull << 30,
+    0x376ull << 30,
+    0x377ull << 30,
+    0x378ull << 30,
+    0x379ull << 30,
+
+    0x30aull << 30,
+    0x30bull << 30,
+    0x32aull << 30,
+    0x32bull << 30,
+    0x34aull << 30,
+    0x34bull << 30,
+    0x36aull << 30,
+    0x36bull << 30,
+    0x34eull << 30,
+    0x34full << 30,
+
+    0x31aull << 30,
+    0x31bull << 30,
+    0x33aull << 30,
+    0x33bull << 30,
+    0x35aull << 30,
+    0x35bull << 30,
+    0x37aull << 30,
+    0x37bull << 30,
+    0x35eull << 30,
+    0x35full << 30,
+
+    0x380ull << 30,
+    0x381ull << 30,
+    0x382ull << 30,
+    0x383ull << 30,
+    0x384ull << 30,
+    0x385ull << 30,
+    0x386ull << 30,
+    0x387ull << 30,
+    0x388ull << 30,
+    0x389ull << 30,
+
+    0x390ull << 30,
+    0x391ull << 30,
+    0x392ull << 30,
+    0x393ull << 30,
+    0x394ull << 30,
+    0x395ull << 30,
+    0x396ull << 30,
+    0x397ull << 30,
+    0x398ull << 30,
+    0x399ull << 30,
+
+    0x3a0ull << 30,
+    0x3a1ull << 30,
+    0x3a2ull << 30,
+    0x3a3ull << 30,
+    0x3a4ull << 30,
+    0x3a5ull << 30,
+    0x3a6ull << 30,
+    0x3a7ull << 30,
+    0x3a8ull << 30,
+    0x3a9ull << 30,
+
+    0x3b0ull << 30,
+    0x3b1ull << 30,
+    0x3b2ull << 30,
+    0x3b3ull << 30,
+    0x3b4ull << 30,
+    0x3b5ull << 30,
+    0x3b6ull << 30,
+    0x3b7ull << 30,
+    0x3b8ull << 30,
+    0x3b9ull << 30,
+
+    0x3c0ull << 30,
+    0x3c1ull << 30,
+    0x3c2ull << 30,
+    0x3c3ull << 30,
+    0x3c4ull << 30,
+    0x3c5ull << 30,
+    0x3c6ull << 30,
+    0x3c7ull << 30,
+    0x3c8ull << 30,
+    0x3c9ull << 30,
+
+    0x3d0ull << 30,
+    0x3d1ull << 30,
+    0x3d2ull << 30,
+    0x3d3ull << 30,
+    0x3d4ull << 30,
+    0x3d5ull << 30,
+    0x3d6ull << 30,
+    0x3d7ull << 30,
+    0x3d8ull << 30,
+    0x3d9ull << 30,
+
+    0x3e0ull << 30,
+    0x3e1ull << 30,
+    0x3e2ull << 30,
+    0x3e3ull << 30,
+    0x3e4ull << 30,
+    0x3e5ull << 30,
+    0x3e6ull << 30,
+    0x3e7ull << 30,
+    0x3e8ull << 30,
+    0x3e9ull << 30,
+
+    0x3f0ull << 30,
+    0x3f1ull << 30,
+    0x3f2ull << 30,
+    0x3f3ull << 30,
+    0x3f4ull << 30,
+    0x3f5ull << 30,
+    0x3f6ull << 30,
+    0x3f7ull << 30,
+    0x3f8ull << 30,
+    0x3f9ull << 30,
+
+    0x38aull << 30,
+    0x38bull << 30,
+    0x3aaull << 30,
+    0x3abull << 30,
+    0x3caull << 30,
+    0x3cbull << 30,
+    0x3eaull << 30,
+    0x3ebull << 30,
+    0x3ceull << 30,
+    0x3cfull << 30,
+
+    0x39aull << 30,
+    0x39bull << 30,
+    0x3baull << 30,
+    0x3bbull << 30,
+    0x3daull << 30,
+    0x3dbull << 30,
+    0x3faull << 30,
+    0x3fbull << 30,
+    0x3deull << 30,
+    0x3dfull << 30,
+
+    0x00cull << 30,
+    0x00dull << 30,
+    0x10cull << 30,
+    0x10dull << 30,
+    0x20cull << 30,
+    0x20dull << 30,
+    0x30cull << 30,
+    0x30dull << 30,
+    0x02eull << 30,
+    0x02full << 30,
+
+    0x01cull << 30,
+    0x01dull << 30,
+    0x11cull << 30,
+    0x11dull << 30,
+    0x21cull << 30,
+    0x21dull << 30,
+    0x31cull << 30,
+    0x31dull << 30,
+    0x03eull << 30,
+    0x03full << 30,
+
+    0x02cull << 30,
+    0x02dull << 30,
+    0x12cull << 30,
+    0x12dull << 30,
+    0x22cull << 30,
+    0x22dull << 30,
+    0x32cull << 30,
+    0x32dull << 30,
+    0x12eull << 30,
+    0x12full << 30,
+
+    0x03cull << 30,
+    0x03dull << 30,
+    0x13cull << 30,
+    0x13dull << 30,
+    0x23cull << 30,
+    0x23dull << 30,
+    0x33cull << 30,
+    0x33dull << 30,
+    0x13eull << 30,
+    0x13full << 30,
+
+    0x04cull << 30,
+    0x04dull << 30,
+    0x14cull << 30,
+    0x14dull << 30,
+    0x24cull << 30,
+    0x24dull << 30,
+    0x34cull << 30,
+    0x34dull << 30,
+    0x22eull << 30,
+    0x22full << 30,
+
+    0x05cull << 30,
+    0x05dull << 30,
+    0x15cull << 30,
+    0x15dull << 30,
+    0x25cull << 30,
+    0x25dull << 30,
+    0x35cull << 30,
+    0x35dull << 30,
+    0x23eull << 30,
+    0x23full << 30,
+
+    0x06cull << 30,
+    0x06dull << 30,
+    0x16cull << 30,
+    0x16dull << 30,
+    0x26cull << 30,
+    0x26dull << 30,
+    0x36cull << 30,
+    0x36dull << 30,
+    0x32eull << 30,
+    0x32full << 30,
+
+    0x07cull << 30,
+    0x07dull << 30,
+    0x17cull << 30,
+    0x17dull << 30,
+    0x27cull << 30,
+    0x27dull << 30,
+    0x37cull << 30,
+    0x37dull << 30,
+    0x33eull << 30,
+    0x33full << 30,
+
+    0x00eull << 30,
+    0x00full << 30,
+    0x10eull << 30,
+    0x10full << 30,
+    0x20eull << 30,
+    0x20full << 30,
+    0x30eull << 30,
+    0x30full << 30,
+    0x06eull << 30,
+    0x06full << 30,
+
+    0x01eull << 30,
+    0x01full << 30,
+    0x11eull << 30,
+    0x11full << 30,
+    0x21eull << 30,
+    0x21full << 30,
+    0x31eull << 30,
+    0x31full << 30,
+    0x07eull << 30,
+    0x07full << 30,
+
+    0x08cull << 30,
+    0x08dull << 30,
+    0x18cull << 30,
+    0x18dull << 30,
+    0x28cull << 30,
+    0x28dull << 30,
+    0x38cull << 30,
+    0x38dull << 30,
+    0x0aeull << 30,
+    0x0afull << 30,
+
+    0x09cull << 30,
+    0x09dull << 30,
+    0x19cull << 30,
+    0x19dull << 30,
+    0x29cull << 30,
+    0x29dull << 30,
+    0x39cull << 30,
+    0x39dull << 30,
+    0x0beull << 30,
+    0x0bfull << 30,
+
+    0x0acull << 30,
+    0x0adull << 30,
+    0x1acull << 30,
+    0x1adull << 30,
+    0x2acull << 30,
+    0x2adull << 30,
+    0x3acull << 30,
+    0x3adull << 30,
+    0x1aeull << 30,
+    0x1afull << 30,
+
+    0x0bcull << 30,
+    0x0bdull << 30,
+    0x1bcull << 30,
+    0x1bdull << 30,
+    0x2bcull << 30,
+    0x2bdull << 30,
+    0x3bcull << 30,
+    0x3bdull << 30,
+    0x1beull << 30,
+    0x1bfull << 30,
+
+    0x0ccull << 30,
+    0x0cdull << 30,
+    0x1ccull << 30,
+    0x1cdull << 30,
+    0x2ccull << 30,
+    0x2cdull << 30,
+    0x3ccull << 30,
+    0x3cdull << 30,
+    0x2aeull << 30,
+    0x2afull << 30,
+
+    0x0dcull << 30,
+    0x0ddull << 30,
+    0x1dcull << 30,
+    0x1ddull << 30,
+    0x2dcull << 30,
+    0x2ddull << 30,
+    0x3dcull << 30,
+    0x3ddull << 30,
+    0x2beull << 30,
+    0x2bfull << 30,
+
+    0x0ecull << 30,
+    0x0edull << 30,
+    0x1ecull << 30,
+    0x1edull << 30,
+    0x2ecull << 30,
+    0x2edull << 30,
+    0x3ecull << 30,
+    0x3edull << 30,
+    0x3aeull << 30,
+    0x3afull << 30,
+
+    0x0fcull << 30,
+    0x0fdull << 30,
+    0x1fcull << 30,
+    0x1fdull << 30,
+    0x2fcull << 30,
+    0x2fdull << 30,
+    0x3fcull << 30,
+    0x3fdull << 30,
+    0x3beull << 30,
+    0x3bfull << 30,
+
+    0x08eull << 30,
+    0x08full << 30,
+    0x18eull << 30,
+    0x18full << 30,
+    0x28eull << 30,
+    0x28full << 30,
+    0x38eull << 30,
+    0x38full << 30,
+    0x0eeull << 30,
+    0x0efull << 30,
+
+    0x09eull << 30,
+    0x09full << 30,
+    0x19eull << 30,
+    0x19full << 30,
+    0x29eull << 30,
+    0x29full << 30,
+    0x39eull << 30,
+    0x39full << 30,
+    0x0feull << 30,
+    0x0ffull << 30 
+};
+
+static const UINT64 b2d5[] = {
+    0x000ull << 40,
+    0x001ull << 40,
+    0x002ull << 40,
+    0x003ull << 40,
+    0x004ull << 40,
+    0x005ull << 40,
+    0x006ull << 40,
+    0x007ull << 40,
+    0x008ull << 40,
+    0x009ull << 40,
+
+    0x010ull << 40,
+    0x011ull << 40,
+    0x012ull << 40,
+    0x013ull << 40,
+    0x014ull << 40,
+    0x015ull << 40,
+    0x016ull << 40,
+    0x017ull << 40,
+    0x018ull << 40,
+    0x019ull << 40,
+
+    0x020ull << 40,
+    0x021ull << 40,
+    0x022ull << 40,
+    0x023ull << 40,
+    0x024ull << 40,
+    0x025ull << 40,
+    0x026ull << 40,
+    0x027ull << 40,
+    0x028ull << 40,
+    0x029ull << 40,
+
+    0x030ull << 40,
+    0x031ull << 40,
+    0x032ull << 40,
+    0x033ull << 40,
+    0x034ull << 40,
+    0x035ull << 40,
+    0x036ull << 40,
+    0x037ull << 40,
+    0x038ull << 40,
+    0x039ull << 40,
+
+    0x040ull << 40,
+    0x041ull << 40,
+    0x042ull << 40,
+    0x043ull << 40,
+    0x044ull << 40,
+    0x045ull << 40,
+    0x046ull << 40,
+    0x047ull << 40,
+    0x048ull << 40,
+    0x049ull << 40,
+
+    0x050ull << 40,
+    0x051ull << 40,
+    0x052ull << 40,
+    0x053ull << 40,
+    0x054ull << 40,
+    0x055ull << 40,
+    0x056ull << 40,
+    0x057ull << 40,
+    0x058ull << 40,
+    0x059ull << 40,
+
+    0x060ull << 40,
+    0x061ull << 40,
+    0x062ull << 40,
+    0x063ull << 40,
+    0x064ull << 40,
+    0x065ull << 40,
+    0x066ull << 40,
+    0x067ull << 40,
+    0x068ull << 40,
+    0x069ull << 40,
+
+    0x070ull << 40,
+    0x071ull << 40,
+    0x072ull << 40,
+    0x073ull << 40,
+    0x074ull << 40,
+    0x075ull << 40,
+    0x076ull << 40,
+    0x077ull << 40,
+    0x078ull << 40,
+    0x079ull << 40,
+
+    0x00aull << 40,
+    0x00bull << 40,
+    0x02aull << 40,
+    0x02bull << 40,
+    0x04aull << 40,
+    0x04bull << 40,
+    0x06aull << 40,
+    0x06bull << 40,
+    0x04eull << 40,
+    0x04full << 40,
+
+    0x01aull << 40,
+    0x01bull << 40,
+    0x03aull << 40,
+    0x03bull << 40,
+    0x05aull << 40,
+    0x05bull << 40,
+    0x07aull << 40,
+    0x07bull << 40,
+    0x05eull << 40,
+    0x05full << 40,
+
+    0x080ull << 40,
+    0x081ull << 40,
+    0x082ull << 40,
+    0x083ull << 40,
+    0x084ull << 40,
+    0x085ull << 40,
+    0x086ull << 40,
+    0x087ull << 40,
+    0x088ull << 40,
+    0x089ull << 40,
+
+    0x090ull << 40,
+    0x091ull << 40,
+    0x092ull << 40,
+    0x093ull << 40,
+    0x094ull << 40,
+    0x095ull << 40,
+    0x096ull << 40,
+    0x097ull << 40,
+    0x098ull << 40,
+    0x099ull << 40,
+
+    0x0a0ull << 40,
+    0x0a1ull << 40,
+    0x0a2ull << 40,
+    0x0a3ull << 40,
+    0x0a4ull << 40,
+    0x0a5ull << 40,
+    0x0a6ull << 40,
+    0x0a7ull << 40,
+    0x0a8ull << 40,
+    0x0a9ull << 40,
+
+    0x0b0ull << 40,
+    0x0b1ull << 40,
+    0x0b2ull << 40,
+    0x0b3ull << 40,
+    0x0b4ull << 40,
+    0x0b5ull << 40,
+    0x0b6ull << 40,
+    0x0b7ull << 40,
+    0x0b8ull << 40,
+    0x0b9ull << 40,
+
+    0x0c0ull << 40,
+    0x0c1ull << 40,
+    0x0c2ull << 40,
+    0x0c3ull << 40,
+    0x0c4ull << 40,
+    0x0c5ull << 40,
+    0x0c6ull << 40,
+    0x0c7ull << 40,
+    0x0c8ull << 40,
+    0x0c9ull << 40,
+
+    0x0d0ull << 40,
+    0x0d1ull << 40,
+    0x0d2ull << 40,
+    0x0d3ull << 40,
+    0x0d4ull << 40,
+    0x0d5ull << 40,
+    0x0d6ull << 40,
+    0x0d7ull << 40,
+    0x0d8ull << 40,
+    0x0d9ull << 40,
+
+    0x0e0ull << 40,
+    0x0e1ull << 40,
+    0x0e2ull << 40,
+    0x0e3ull << 40,
+    0x0e4ull << 40,
+    0x0e5ull << 40,
+    0x0e6ull << 40,
+    0x0e7ull << 40,
+    0x0e8ull << 40,
+    0x0e9ull << 40,
+
+    0x0f0ull << 40,
+    0x0f1ull << 40,
+    0x0f2ull << 40,
+    0x0f3ull << 40,
+    0x0f4ull << 40,
+    0x0f5ull << 40,
+    0x0f6ull << 40,
+    0x0f7ull << 40,
+    0x0f8ull << 40,
+    0x0f9ull << 40,
+
+    0x08aull << 40,
+    0x08bull << 40,
+    0x0aaull << 40,
+    0x0abull << 40,
+    0x0caull << 40,
+    0x0cbull << 40,
+    0x0eaull << 40,
+    0x0ebull << 40,
+    0x0ceull << 40,
+    0x0cfull << 40,
+
+    0x09aull << 40,
+    0x09bull << 40,
+    0x0baull << 40,
+    0x0bbull << 40,
+    0x0daull << 40,
+    0x0dbull << 40,
+    0x0faull << 40,
+    0x0fbull << 40,
+    0x0deull << 40,
+    0x0dfull << 40,
+
+    0x100ull << 40,
+    0x101ull << 40,
+    0x102ull << 40,
+    0x103ull << 40,
+    0x104ull << 40,
+    0x105ull << 40,
+    0x106ull << 40,
+    0x107ull << 40,
+    0x108ull << 40,
+    0x109ull << 40,
+
+    0x110ull << 40,
+    0x111ull << 40,
+    0x112ull << 40,
+    0x113ull << 40,
+    0x114ull << 40,
+    0x115ull << 40,
+    0x116ull << 40,
+    0x117ull << 40,
+    0x118ull << 40,
+    0x119ull << 40,
+
+    0x120ull << 40,
+    0x121ull << 40,
+    0x122ull << 40,
+    0x123ull << 40,
+    0x124ull << 40,
+    0x125ull << 40,
+    0x126ull << 40,
+    0x127ull << 40,
+    0x128ull << 40,
+    0x129ull << 40,
+
+    0x130ull << 40,
+    0x131ull << 40,
+    0x132ull << 40,
+    0x133ull << 40,
+    0x134ull << 40,
+    0x135ull << 40,
+    0x136ull << 40,
+    0x137ull << 40,
+    0x138ull << 40,
+    0x139ull << 40,
+
+    0x140ull << 40,
+    0x141ull << 40,
+    0x142ull << 40,
+    0x143ull << 40,
+    0x144ull << 40,
+    0x145ull << 40,
+    0x146ull << 40,
+    0x147ull << 40,
+    0x148ull << 40,
+    0x149ull << 40,
+
+    0x150ull << 40,
+    0x151ull << 40,
+    0x152ull << 40,
+    0x153ull << 40,
+    0x154ull << 40,
+    0x155ull << 40,
+    0x156ull << 40,
+    0x157ull << 40,
+    0x158ull << 40,
+    0x159ull << 40,
+
+    0x160ull << 40,
+    0x161ull << 40,
+    0x162ull << 40,
+    0x163ull << 40,
+    0x164ull << 40,
+    0x165ull << 40,
+    0x166ull << 40,
+    0x167ull << 40,
+    0x168ull << 40,
+    0x169ull << 40,
+
+    0x170ull << 40,
+    0x171ull << 40,
+    0x172ull << 40,
+    0x173ull << 40,
+    0x174ull << 40,
+    0x175ull << 40,
+    0x176ull << 40,
+    0x177ull << 40,
+    0x178ull << 40,
+    0x179ull << 40,
+
+    0x10aull << 40,
+    0x10bull << 40,
+    0x12aull << 40,
+    0x12bull << 40,
+    0x14aull << 40,
+    0x14bull << 40,
+    0x16aull << 40,
+    0x16bull << 40,
+    0x14eull << 40,
+    0x14full << 40,
+
+    0x11aull << 40,
+    0x11bull << 40,
+    0x13aull << 40,
+    0x13bull << 40,
+    0x15aull << 40,
+    0x15bull << 40,
+    0x17aull << 40,
+    0x17bull << 40,
+    0x15eull << 40,
+    0x15full << 40,
+
+    0x180ull << 40,
+    0x181ull << 40,
+    0x182ull << 40,
+    0x183ull << 40,
+    0x184ull << 40,
+    0x185ull << 40,
+    0x186ull << 40,
+    0x187ull << 40,
+    0x188ull << 40,
+    0x189ull << 40,
+
+    0x190ull << 40,
+    0x191ull << 40,
+    0x192ull << 40,
+    0x193ull << 40,
+    0x194ull << 40,
+    0x195ull << 40,
+    0x196ull << 40,
+    0x197ull << 40,
+    0x198ull << 40,
+    0x199ull << 40,
+
+    0x1a0ull << 40,
+    0x1a1ull << 40,
+    0x1a2ull << 40,
+    0x1a3ull << 40,
+    0x1a4ull << 40,
+    0x1a5ull << 40,
+    0x1a6ull << 40,
+    0x1a7ull << 40,
+    0x1a8ull << 40,
+    0x1a9ull << 40,
+
+    0x1b0ull << 40,
+    0x1b1ull << 40,
+    0x1b2ull << 40,
+    0x1b3ull << 40,
+    0x1b4ull << 40,
+    0x1b5ull << 40,
+    0x1b6ull << 40,
+    0x1b7ull << 40,
+    0x1b8ull << 40,
+    0x1b9ull << 40,
+
+    0x1c0ull << 40,
+    0x1c1ull << 40,
+    0x1c2ull << 40,
+    0x1c3ull << 40,
+    0x1c4ull << 40,
+    0x1c5ull << 40,
+    0x1c6ull << 40,
+    0x1c7ull << 40,
+    0x1c8ull << 40,
+    0x1c9ull << 40,
+
+    0x1d0ull << 40,
+    0x1d1ull << 40,
+    0x1d2ull << 40,
+    0x1d3ull << 40,
+    0x1d4ull << 40,
+    0x1d5ull << 40,
+    0x1d6ull << 40,
+    0x1d7ull << 40,
+    0x1d8ull << 40,
+    0x1d9ull << 40,
+
+    0x1e0ull << 40,
+    0x1e1ull << 40,
+    0x1e2ull << 40,
+    0x1e3ull << 40,
+    0x1e4ull << 40,
+    0x1e5ull << 40,
+    0x1e6ull << 40,
+    0x1e7ull << 40,
+    0x1e8ull << 40,
+    0x1e9ull << 40,
+
+    0x1f0ull << 40,
+    0x1f1ull << 40,
+    0x1f2ull << 40,
+    0x1f3ull << 40,
+    0x1f4ull << 40,
+    0x1f5ull << 40,
+    0x1f6ull << 40,
+    0x1f7ull << 40,
+    0x1f8ull << 40,
+    0x1f9ull << 40,
+
+    0x18aull << 40,
+    0x18bull << 40,
+    0x1aaull << 40,
+    0x1abull << 40,
+    0x1caull << 40,
+    0x1cbull << 40,
+    0x1eaull << 40,
+    0x1ebull << 40,
+    0x1ceull << 40,
+    0x1cfull << 40,
+
+    0x19aull << 40,
+    0x19bull << 40,
+    0x1baull << 40,
+    0x1bbull << 40,
+    0x1daull << 40,
+    0x1dbull << 40,
+    0x1faull << 40,
+    0x1fbull << 40,
+    0x1deull << 40,
+    0x1dfull << 40,
+
+    0x200ull << 40,
+    0x201ull << 40,
+    0x202ull << 40,
+    0x203ull << 40,
+    0x204ull << 40,
+    0x205ull << 40,
+    0x206ull << 40,
+    0x207ull << 40,
+    0x208ull << 40,
+    0x209ull << 40,
+
+    0x210ull << 40,
+    0x211ull << 40,
+    0x212ull << 40,
+    0x213ull << 40,
+    0x214ull << 40,
+    0x215ull << 40,
+    0x216ull << 40,
+    0x217ull << 40,
+    0x218ull << 40,
+    0x219ull << 40,
+
+    0x220ull << 40,
+    0x221ull << 40,
+    0x222ull << 40,
+    0x223ull << 40,
+    0x224ull << 40,
+    0x225ull << 40,
+    0x226ull << 40,
+    0x227ull << 40,
+    0x228ull << 40,
+    0x229ull << 40,
+
+    0x230ull << 40,
+    0x231ull << 40,
+    0x232ull << 40,
+    0x233ull << 40,
+    0x234ull << 40,
+    0x235ull << 40,
+    0x236ull << 40,
+    0x237ull << 40,
+    0x238ull << 40,
+    0x239ull << 40,
+
+    0x240ull << 40,
+    0x241ull << 40,
+    0x242ull << 40,
+    0x243ull << 40,
+    0x244ull << 40,
+    0x245ull << 40,
+    0x246ull << 40,
+    0x247ull << 40,
+    0x248ull << 40,
+    0x249ull << 40,
+
+    0x250ull << 40,
+    0x251ull << 40,
+    0x252ull << 40,
+    0x253ull << 40,
+    0x254ull << 40,
+    0x255ull << 40,
+    0x256ull << 40,
+    0x257ull << 40,
+    0x258ull << 40,
+    0x259ull << 40,
+
+    0x260ull << 40,
+    0x261ull << 40,
+    0x262ull << 40,
+    0x263ull << 40,
+    0x264ull << 40,
+    0x265ull << 40,
+    0x266ull << 40,
+    0x267ull << 40,
+    0x268ull << 40,
+    0x269ull << 40,
+
+    0x270ull << 40,
+    0x271ull << 40,
+    0x272ull << 40,
+    0x273ull << 40,
+    0x274ull << 40,
+    0x275ull << 40,
+    0x276ull << 40,
+    0x277ull << 40,
+    0x278ull << 40,
+    0x279ull << 40,
+
+    0x20aull << 40,
+    0x20bull << 40,
+    0x22aull << 40,
+    0x22bull << 40,
+    0x24aull << 40,
+    0x24bull << 40,
+    0x26aull << 40,
+    0x26bull << 40,
+    0x24eull << 40,
+    0x24full << 40,
+
+    0x21aull << 40,
+    0x21bull << 40,
+    0x23aull << 40,
+    0x23bull << 40,
+    0x25aull << 40,
+    0x25bull << 40,
+    0x27aull << 40,
+    0x27bull << 40,
+    0x25eull << 40,
+    0x25full << 40,
+
+    0x280ull << 40,
+    0x281ull << 40,
+    0x282ull << 40,
+    0x283ull << 40,
+    0x284ull << 40,
+    0x285ull << 40,
+    0x286ull << 40,
+    0x287ull << 40,
+    0x288ull << 40,
+    0x289ull << 40,
+
+    0x290ull << 40,
+    0x291ull << 40,
+    0x292ull << 40,
+    0x293ull << 40,
+    0x294ull << 40,
+    0x295ull << 40,
+    0x296ull << 40,
+    0x297ull << 40,
+    0x298ull << 40,
+    0x299ull << 40,
+
+    0x2a0ull << 40,
+    0x2a1ull << 40,
+    0x2a2ull << 40,
+    0x2a3ull << 40,
+    0x2a4ull << 40,
+    0x2a5ull << 40,
+    0x2a6ull << 40,
+    0x2a7ull << 40,
+    0x2a8ull << 40,
+    0x2a9ull << 40,
+
+    0x2b0ull << 40,
+    0x2b1ull << 40,
+    0x2b2ull << 40,
+    0x2b3ull << 40,
+    0x2b4ull << 40,
+    0x2b5ull << 40,
+    0x2b6ull << 40,
+    0x2b7ull << 40,
+    0x2b8ull << 40,
+    0x2b9ull << 40,
+
+    0x2c0ull << 40,
+    0x2c1ull << 40,
+    0x2c2ull << 40,
+    0x2c3ull << 40,
+    0x2c4ull << 40,
+    0x2c5ull << 40,
+    0x2c6ull << 40,
+    0x2c7ull << 40,
+    0x2c8ull << 40,
+    0x2c9ull << 40,
+
+    0x2d0ull << 40,
+    0x2d1ull << 40,
+    0x2d2ull << 40,
+    0x2d3ull << 40,
+    0x2d4ull << 40,
+    0x2d5ull << 40,
+    0x2d6ull << 40,
+    0x2d7ull << 40,
+    0x2d8ull << 40,
+    0x2d9ull << 40,
+
+    0x2e0ull << 40,
+    0x2e1ull << 40,
+    0x2e2ull << 40,
+    0x2e3ull << 40,
+    0x2e4ull << 40,
+    0x2e5ull << 40,
+    0x2e6ull << 40,
+    0x2e7ull << 40,
+    0x2e8ull << 40,
+    0x2e9ull << 40,
+
+    0x2f0ull << 40,
+    0x2f1ull << 40,
+    0x2f2ull << 40,
+    0x2f3ull << 40,
+    0x2f4ull << 40,
+    0x2f5ull << 40,
+    0x2f6ull << 40,
+    0x2f7ull << 40,
+    0x2f8ull << 40,
+    0x2f9ull << 40,
+
+    0x28aull << 40,
+    0x28bull << 40,
+    0x2aaull << 40,
+    0x2abull << 40,
+    0x2caull << 40,
+    0x2cbull << 40,
+    0x2eaull << 40,
+    0x2ebull << 40,
+    0x2ceull << 40,
+    0x2cfull << 40,
+
+    0x29aull << 40,
+    0x29bull << 40,
+    0x2baull << 40,
+    0x2bbull << 40,
+    0x2daull << 40,
+    0x2dbull << 40,
+    0x2faull << 40,
+    0x2fbull << 40,
+    0x2deull << 40,
+    0x2dfull << 40,
+
+    0x300ull << 40,
+    0x301ull << 40,
+    0x302ull << 40,
+    0x303ull << 40,
+    0x304ull << 40,
+    0x305ull << 40,
+    0x306ull << 40,
+    0x307ull << 40,
+    0x308ull << 40,
+    0x309ull << 40,
+
+    0x310ull << 40,
+    0x311ull << 40,
+    0x312ull << 40,
+    0x313ull << 40,
+    0x314ull << 40,
+    0x315ull << 40,
+    0x316ull << 40,
+    0x317ull << 40,
+    0x318ull << 40,
+    0x319ull << 40,
+
+    0x320ull << 40,
+    0x321ull << 40,
+    0x322ull << 40,
+    0x323ull << 40,
+    0x324ull << 40,
+    0x325ull << 40,
+    0x326ull << 40,
+    0x327ull << 40,
+    0x328ull << 40,
+    0x329ull << 40,
+
+    0x330ull << 40,
+    0x331ull << 40,
+    0x332ull << 40,
+    0x333ull << 40,
+    0x334ull << 40,
+    0x335ull << 40,
+    0x336ull << 40,
+    0x337ull << 40,
+    0x338ull << 40,
+    0x339ull << 40,
+
+    0x340ull << 40,
+    0x341ull << 40,
+    0x342ull << 40,
+    0x343ull << 40,
+    0x344ull << 40,
+    0x345ull << 40,
+    0x346ull << 40,
+    0x347ull << 40,
+    0x348ull << 40,
+    0x349ull << 40,
+
+    0x350ull << 40,
+    0x351ull << 40,
+    0x352ull << 40,
+    0x353ull << 40,
+    0x354ull << 40,
+    0x355ull << 40,
+    0x356ull << 40,
+    0x357ull << 40,
+    0x358ull << 40,
+    0x359ull << 40,
+
+    0x360ull << 40,
+    0x361ull << 40,
+    0x362ull << 40,
+    0x363ull << 40,
+    0x364ull << 40,
+    0x365ull << 40,
+    0x366ull << 40,
+    0x367ull << 40,
+    0x368ull << 40,
+    0x369ull << 40,
+
+    0x370ull << 40,
+    0x371ull << 40,
+    0x372ull << 40,
+    0x373ull << 40,
+    0x374ull << 40,
+    0x375ull << 40,
+    0x376ull << 40,
+    0x377ull << 40,
+    0x378ull << 40,
+    0x379ull << 40,
+
+    0x30aull << 40,
+    0x30bull << 40,
+    0x32aull << 40,
+    0x32bull << 40,
+    0x34aull << 40,
+    0x34bull << 40,
+    0x36aull << 40,
+    0x36bull << 40,
+    0x34eull << 40,
+    0x34full << 40,
+
+    0x31aull << 40,
+    0x31bull << 40,
+    0x33aull << 40,
+    0x33bull << 40,
+    0x35aull << 40,
+    0x35bull << 40,
+    0x37aull << 40,
+    0x37bull << 40,
+    0x35eull << 40,
+    0x35full << 40,
+
+    0x380ull << 40,
+    0x381ull << 40,
+    0x382ull << 40,
+    0x383ull << 40,
+    0x384ull << 40,
+    0x385ull << 40,
+    0x386ull << 40,
+    0x387ull << 40,
+    0x388ull << 40,
+    0x389ull << 40,
+
+    0x390ull << 40,
+    0x391ull << 40,
+    0x392ull << 40,
+    0x393ull << 40,
+    0x394ull << 40,
+    0x395ull << 40,
+    0x396ull << 40,
+    0x397ull << 40,
+    0x398ull << 40,
+    0x399ull << 40,
+
+    0x3a0ull << 40,
+    0x3a1ull << 40,
+    0x3a2ull << 40,
+    0x3a3ull << 40,
+    0x3a4ull << 40,
+    0x3a5ull << 40,
+    0x3a6ull << 40,
+    0x3a7ull << 40,
+    0x3a8ull << 40,
+    0x3a9ull << 40,
+
+    0x3b0ull << 40,
+    0x3b1ull << 40,
+    0x3b2ull << 40,
+    0x3b3ull << 40,
+    0x3b4ull << 40,
+    0x3b5ull << 40,
+    0x3b6ull << 40,
+    0x3b7ull << 40,
+    0x3b8ull << 40,
+    0x3b9ull << 40,
+
+    0x3c0ull << 40,
+    0x3c1ull << 40,
+    0x3c2ull << 40,
+    0x3c3ull << 40,
+    0x3c4ull << 40,
+    0x3c5ull << 40,
+    0x3c6ull << 40,
+    0x3c7ull << 40,
+    0x3c8ull << 40,
+    0x3c9ull << 40,
+
+    0x3d0ull << 40,
+    0x3d1ull << 40,
+    0x3d2ull << 40,
+    0x3d3ull << 40,
+    0x3d4ull << 40,
+    0x3d5ull << 40,
+    0x3d6ull << 40,
+    0x3d7ull << 40,
+    0x3d8ull << 40,
+    0x3d9ull << 40,
+
+    0x3e0ull << 40,
+    0x3e1ull << 40,
+    0x3e2ull << 40,
+    0x3e3ull << 40,
+    0x3e4ull << 40,
+    0x3e5ull << 40,
+    0x3e6ull << 40,
+    0x3e7ull << 40,
+    0x3e8ull << 40,
+    0x3e9ull << 40,
+
+    0x3f0ull << 40,
+    0x3f1ull << 40,
+    0x3f2ull << 40,
+    0x3f3ull << 40,
+    0x3f4ull << 40,
+    0x3f5ull << 40,
+    0x3f6ull << 40,
+    0x3f7ull << 40,
+    0x3f8ull << 40,
+    0x3f9ull << 40,
+
+    0x38aull << 40,
+    0x38bull << 40,
+    0x3aaull << 40,
+    0x3abull << 40,
+    0x3caull << 40,
+    0x3cbull << 40,
+    0x3eaull << 40,
+    0x3ebull << 40,
+    0x3ceull << 40,
+    0x3cfull << 40,
+
+    0x39aull << 40,
+    0x39bull << 40,
+    0x3baull << 40,
+    0x3bbull << 40,
+    0x3daull << 40,
+    0x3dbull << 40,
+    0x3faull << 40,
+    0x3fbull << 40,
+    0x3deull << 40,
+    0x3dfull << 40,
+
+    0x00cull << 40,
+    0x00dull << 40,
+    0x10cull << 40,
+    0x10dull << 40,
+    0x20cull << 40,
+    0x20dull << 40,
+    0x30cull << 40,
+    0x30dull << 40,
+    0x02eull << 40,
+    0x02full << 40,
+
+    0x01cull << 40,
+    0x01dull << 40,
+    0x11cull << 40,
+    0x11dull << 40,
+    0x21cull << 40,
+    0x21dull << 40,
+    0x31cull << 40,
+    0x31dull << 40,
+    0x03eull << 40,
+    0x03full << 40,
+
+    0x02cull << 40,
+    0x02dull << 40,
+    0x12cull << 40,
+    0x12dull << 40,
+    0x22cull << 40,
+    0x22dull << 40,
+    0x32cull << 40,
+    0x32dull << 40,
+    0x12eull << 40,
+    0x12full << 40,
+
+    0x03cull << 40,
+    0x03dull << 40,
+    0x13cull << 40,
+    0x13dull << 40,
+    0x23cull << 40,
+    0x23dull << 40,
+    0x33cull << 40,
+    0x33dull << 40,
+    0x13eull << 40,
+    0x13full << 40,
+
+    0x04cull << 40,
+    0x04dull << 40,
+    0x14cull << 40,
+    0x14dull << 40,
+    0x24cull << 40,
+    0x24dull << 40,
+    0x34cull << 40,
+    0x34dull << 40,
+    0x22eull << 40,
+    0x22full << 40,
+
+    0x05cull << 40,
+    0x05dull << 40,
+    0x15cull << 40,
+    0x15dull << 40,
+    0x25cull << 40,
+    0x25dull << 40,
+    0x35cull << 40,
+    0x35dull << 40,
+    0x23eull << 40,
+    0x23full << 40,
+
+    0x06cull << 40,
+    0x06dull << 40,
+    0x16cull << 40,
+    0x16dull << 40,
+    0x26cull << 40,
+    0x26dull << 40,
+    0x36cull << 40,
+    0x36dull << 40,
+    0x32eull << 40,
+    0x32full << 40,
+
+    0x07cull << 40,
+    0x07dull << 40,
+    0x17cull << 40,
+    0x17dull << 40,
+    0x27cull << 40,
+    0x27dull << 40,
+    0x37cull << 40,
+    0x37dull << 40,
+    0x33eull << 40,
+    0x33full << 40,
+
+    0x00eull << 40,
+    0x00full << 40,
+    0x10eull << 40,
+    0x10full << 40,
+    0x20eull << 40,
+    0x20full << 40,
+    0x30eull << 40,
+    0x30full << 40,
+    0x06eull << 40,
+    0x06full << 40,
+
+    0x01eull << 40,
+    0x01full << 40,
+    0x11eull << 40,
+    0x11full << 40,
+    0x21eull << 40,
+    0x21full << 40,
+    0x31eull << 40,
+    0x31full << 40,
+    0x07eull << 40,
+    0x07full << 40,
+
+    0x08cull << 40,
+    0x08dull << 40,
+    0x18cull << 40,
+    0x18dull << 40,
+    0x28cull << 40,
+    0x28dull << 40,
+    0x38cull << 40,
+    0x38dull << 40,
+    0x0aeull << 40,
+    0x0afull << 40,
+
+    0x09cull << 40,
+    0x09dull << 40,
+    0x19cull << 40,
+    0x19dull << 40,
+    0x29cull << 40,
+    0x29dull << 40,
+    0x39cull << 40,
+    0x39dull << 40,
+    0x0beull << 40,
+    0x0bfull << 40,
+
+    0x0acull << 40,
+    0x0adull << 40,
+    0x1acull << 40,
+    0x1adull << 40,
+    0x2acull << 40,
+    0x2adull << 40,
+    0x3acull << 40,
+    0x3adull << 40,
+    0x1aeull << 40,
+    0x1afull << 40,
+
+    0x0bcull << 40,
+    0x0bdull << 40,
+    0x1bcull << 40,
+    0x1bdull << 40,
+    0x2bcull << 40,
+    0x2bdull << 40,
+    0x3bcull << 40,
+    0x3bdull << 40,
+    0x1beull << 40,
+    0x1bfull << 40,
+
+    0x0ccull << 40,
+    0x0cdull << 40,
+    0x1ccull << 40,
+    0x1cdull << 40,
+    0x2ccull << 40,
+    0x2cdull << 40,
+    0x3ccull << 40,
+    0x3cdull << 40,
+    0x2aeull << 40,
+    0x2afull << 40,
+
+    0x0dcull << 40,
+    0x0ddull << 40,
+    0x1dcull << 40,
+    0x1ddull << 40,
+    0x2dcull << 40,
+    0x2ddull << 40,
+    0x3dcull << 40,
+    0x3ddull << 40,
+    0x2beull << 40,
+    0x2bfull << 40,
+
+    0x0ecull << 40,
+    0x0edull << 40,
+    0x1ecull << 40,
+    0x1edull << 40,
+    0x2ecull << 40,
+    0x2edull << 40,
+    0x3ecull << 40,
+    0x3edull << 40,
+    0x3aeull << 40,
+    0x3afull << 40,
+
+    0x0fcull << 40,
+    0x0fdull << 40,
+    0x1fcull << 40,
+    0x1fdull << 40,
+    0x2fcull << 40,
+    0x2fdull << 40,
+    0x3fcull << 40,
+    0x3fdull << 40,
+    0x3beull << 40,
+    0x3bfull << 40,
+
+    0x08eull << 40,
+    0x08full << 40,
+    0x18eull << 40,
+    0x18full << 40,
+    0x28eull << 40,
+    0x28full << 40,
+    0x38eull << 40,
+    0x38full << 40,
+    0x0eeull << 40,
+    0x0efull << 40,
+
+    0x09eull << 40,
+    0x09full << 40,
+    0x19eull << 40,
+    0x19full << 40,
+    0x29eull << 40,
+    0x29full << 40,
+    0x39eull << 40,
+    0x39full << 40,
+    0x0feull << 40,
+    0x0ffull << 40 
+};
+
diff --git a/libdecnumber/bid/decimal128.c b/libdecnumber/bid/decimal128.c
new file mode 100644 (file)
index 0000000..1daf5df
--- /dev/null
@@ -0,0 +1,148 @@
+/* Copyright (C) 2007
+   Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+/* As a special exception, if you link this library with other files,
+   some of which are compiled with GCC, to produce an executable,
+   this library does not by itself cause the resulting executable
+   to be covered by the GNU General Public License.
+   This exception does not however invalidate any other reasons why
+   the executable file might be covered by the GNU General Public License.  */
+
+#define decimal128FromString __dpd128FromString
+#define decimal128ToString __dpd128ToString
+#define decimal128ToEngString __dpd128ToEngString
+#define decimal128FromNumber __dpd128FromNumber
+#define decimal128ToNumber __dpd128ToNumber
+
+#include "dpd/decimal128.c"
+
+#undef decimal128FromString
+#undef decimal128ToString
+#undef decimal128ToEngString
+#undef decimal128FromNumber
+#undef decimal128ToNumber
+
+#include "bid-dpd.h"
+
+#ifdef IN_LIBGCC2
+#define decimal128FromString __decimal128FromString
+#define decimal128ToString __decimal128ToString
+#define decimal128ToEngString __decimal128ToEngString
+#define decimal128FromNumber __decimal128FromNumber
+#define decimal128ToNumber __decimal128ToNumber
+#endif
+
+decimal128 *decimal128FromString (decimal128 *, const char *, decContext *);
+char *decimal128ToString (const decimal128 *, char *);
+char *decimal128ToEngString (const decimal128 *, char *);
+decimal128 *decimal128FromNumber (decimal128 *, const decNumber *, decContext *);
+decNumber *decimal128ToNumber (const decimal128 *, decNumber *);
+
+void __host_to_ieee_128 (_Decimal128 in, decimal128 *out);
+void __ieee_to_host_128 (decimal128 in, _Decimal128 *out);
+
+decimal128 *
+decimal128FromNumber (decimal128 *d128, const decNumber *dn,
+                     decContext *set)
+{
+  /* decimal128 and _Decimal128 are different types.  */
+  union
+    {
+      _Decimal128 _Dec;
+      decimal128 dec;
+    } u;
+
+  __dpd128FromNumber (d128, dn, set);
+
+  /* __dpd128FromNumber returns in big endian. But _dpd_to_bid128 takes
+     host endian. */
+  __ieee_to_host_128 (*d128, &u._Dec);
+
+  /* Convert DPD to BID.  */
+  _dpd_to_bid128 (&u._Dec, &u._Dec);
+
+  /* dfp.c is in bid endian. */
+  __host_to_ieee_128 (u._Dec, &u.dec);
+
+  /* d128 is returned as a pointer to _Decimal128 here.  */
+  *d128 = u.dec;
+
+  return d128;
+}
+
+decNumber *
+decimal128ToNumber (const decimal128 *bid128, decNumber *dn)
+{
+  /* decimal128 and _Decimal128 are different types.  */
+  union
+    {
+      _Decimal128 _Dec;
+      decimal128 dec;
+    } u;
+
+  /* bid128 is a pointer to _Decimal128 in bid endian. But _bid_to_dpd128
+     takes host endian.  */
+  __ieee_to_host_128 (*bid128, &u._Dec);
+
+  /* Convert BID to DPD.  */
+  _bid_to_dpd128 (&u._Dec, &u._Dec);
+
+  /* __dpd128ToNumber is in bid endian.  */
+  __host_to_ieee_128 (u._Dec, &u.dec);
+
+  return __dpd128ToNumber (&u.dec, dn);
+}
+
+char *
+decimal128ToString (const decimal128 *d128, char *string)
+{
+  decNumber dn;                        /* work */
+  decimal128ToNumber (d128, &dn);
+  decNumberToString (&dn, string);
+  return string;
+}
+
+char *
+decimal128ToEngString (const decimal128 *d128, char *string)
+{
+  decNumber dn;                        /* work */
+  decimal128ToNumber (d128, &dn);
+  decNumberToEngString (&dn, string);
+  return string;
+}
+
+decimal128 *
+decimal128FromString (decimal128 *result, const char *string,
+                     decContext *set)
+{
+  decContext dc;               /* work */
+  decNumber dn;                        /* .. */
+
+  decContextDefault (&dc, DEC_INIT_DECIMAL128);        /* no traps, please */
+  dc.round = set->round;       /* use supplied rounding */
+
+  decNumberFromString (&dn, string, &dc);      /* will round if needed */
+  decimal128FromNumber (result, &dn, &dc);
+  if (dc.status != 0)
+    {                          /* something happened */
+      decContextSetStatus (set, dc.status);    /* .. pass it on */
+    }
+  return result;
+}
diff --git a/libdecnumber/bid/decimal128.h b/libdecnumber/bid/decimal128.h
new file mode 100644 (file)
index 0000000..1387352
--- /dev/null
@@ -0,0 +1 @@
+#include "dpd/decimal128.h"
diff --git a/libdecnumber/bid/decimal32.c b/libdecnumber/bid/decimal32.c
new file mode 100644 (file)
index 0000000..68e004e
--- /dev/null
@@ -0,0 +1,148 @@
+/* Copyright (C) 2007
+   Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+/* As a special exception, if you link this library with other files,
+   some of which are compiled with GCC, to produce an executable,
+   this library does not by itself cause the resulting executable
+   to be covered by the GNU General Public License.
+   This exception does not however invalidate any other reasons why
+   the executable file might be covered by the GNU General Public License.  */
+
+#define decimal32FromString __dpd32FromString
+#define decimal32ToString __dpd32ToString
+#define decimal32ToEngString __dpd32ToEngString
+#define decimal32FromNumber __dpd32FromNumber
+#define decimal32ToNumber __dpd32ToNumber
+
+#include "dpd/decimal32.c"
+
+#undef decimal32FromString
+#undef decimal32ToString
+#undef decimal32ToEngString
+#undef decimal32FromNumber
+#undef decimal32ToNumber
+
+#include "bid-dpd.h"
+
+#ifdef IN_LIBGCC2
+#define decimal32FromString __decimal32FromString
+#define decimal32ToString __decimal32ToString
+#define decimal32ToEngString __decimal32ToEngString
+#define decimal32FromNumber __decimal32FromNumber
+#define decimal32ToNumber __decimal32ToNumber
+#endif
+
+decimal32 *decimal32FromString (decimal32 *, const char *, decContext *);
+char *decimal32ToString (const decimal32 *, char *);
+char *decimal32ToEngString (const decimal32 *, char *);
+decimal32 *decimal32FromNumber (decimal32 *, const decNumber *, decContext *);
+decNumber *decimal32ToNumber (const decimal32 *, decNumber *);
+
+void __host_to_ieee_32 (_Decimal32 in, decimal32 *out);
+void __ieee_to_host_32 (decimal32 in, _Decimal32 *out);
+
+decimal32 *
+decimal32FromNumber (decimal32 *d32, const decNumber *dn,
+                     decContext *set)
+{
+  /* decimal32 and _Decimal32 are different types.  */
+  union
+    {
+      _Decimal32 _Dec;
+      decimal32 dec;
+    } u;
+
+  __dpd32FromNumber (d32, dn, set);
+
+  /* __dpd32FromNumber returns in big endian. But _dpd_to_bid32 takes
+     host endian. */
+  __ieee_to_host_32 (*d32, &u._Dec);
+
+  /* Convert DPD to BID.  */
+  _dpd_to_bid32 (&u._Dec, &u._Dec);
+
+  /* dfp.c is in bid endian. */
+  __host_to_ieee_32 (u._Dec, &u.dec);
+
+  /* d32 is returned as a pointer to _Decimal32 here.  */
+  *d32 = u.dec;
+
+  return d32;
+}
+
+decNumber *
+decimal32ToNumber (const decimal32 *bid32, decNumber *dn)
+{
+  /* decimal32 and _Decimal32 are different types.  */
+  union
+    {
+      _Decimal32 _Dec;
+      decimal32 dec;
+    } u;
+
+  /* bid32 is a pointer to _Decimal32 in bid endian. But _bid_to_dpd32
+     takes host endian.  */
+  __ieee_to_host_32 (*bid32, &u._Dec);
+
+  /* Convert BID to DPD.  */
+  _bid_to_dpd32 (&u._Dec, &u._Dec);
+
+  /* __dpd32ToNumber is in bid endian.  */
+  __host_to_ieee_32 (u._Dec, &u.dec);
+
+  return __dpd32ToNumber (&u.dec, dn);
+}
+
+char *
+decimal32ToString (const decimal32 *d32, char *string)
+{
+  decNumber dn;                        /* work */
+  decimal32ToNumber (d32, &dn);
+  decNumberToString (&dn, string);
+  return string;
+}
+
+char *
+decimal32ToEngString (const decimal32 *d32, char *string)
+{
+  decNumber dn;                        /* work */
+  decimal32ToNumber (d32, &dn);
+  decNumberToEngString (&dn, string);
+  return string;
+}
+
+decimal32 *
+decimal32FromString (decimal32 *result, const char *string,
+                     decContext *set)
+{
+  decContext dc;               /* work */
+  decNumber dn;                        /* .. */
+
+  decContextDefault (&dc, DEC_INIT_DECIMAL32); /* no traps, please */
+  dc.round = set->round;       /* use supplied rounding */
+
+  decNumberFromString (&dn, string, &dc);      /* will round if needed */
+  decimal32FromNumber (result, &dn, &dc);
+  if (dc.status != 0)
+    {                          /* something happened */
+      decContextSetStatus (set, dc.status);    /* .. pass it on */
+    }
+  return result;
+}
diff --git a/libdecnumber/bid/decimal32.h b/libdecnumber/bid/decimal32.h
new file mode 100644 (file)
index 0000000..e12e3b1
--- /dev/null
@@ -0,0 +1 @@
+#include "dpd/decimal32.h"
diff --git a/libdecnumber/bid/decimal64.c b/libdecnumber/bid/decimal64.c
new file mode 100644 (file)
index 0000000..bdbee38
--- /dev/null
@@ -0,0 +1,148 @@
+/* Copyright (C) 2007
+   Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+/* As a special exception, if you link this library with other files,
+   some of which are compiled with GCC, to produce an executable,
+   this library does not by itself cause the resulting executable
+   to be covered by the GNU General Public License.
+   This exception does not however invalidate any other reasons why
+   the executable file might be covered by the GNU General Public License.  */
+
+#define decimal64FromString __dpd64FromString
+#define decimal64ToString __dpd64ToString
+#define decimal64ToEngString __dpd64ToEngString
+#define decimal64FromNumber __dpd64FromNumber
+#define decimal64ToNumber __dpd64ToNumber
+
+#include "dpd/decimal64.c"
+
+#undef decimal64FromString
+#undef decimal64ToString
+#undef decimal64ToEngString
+#undef decimal64FromNumber
+#undef decimal64ToNumber
+
+#include "bid-dpd.h"
+
+#ifdef IN_LIBGCC2
+#define decimal64FromString __decimal64FromString
+#define decimal64ToString __decimal64ToString
+#define decimal64ToEngString __decimal64ToEngString
+#define decimal64FromNumber __decimal64FromNumber
+#define decimal64ToNumber __decimal64ToNumber
+#endif
+
+decimal64 *decimal64FromString (decimal64 *, const char *, decContext *);
+char *decimal64ToString (const decimal64 *, char *);
+char *decimal64ToEngString (const decimal64 *, char *);
+decimal64 *decimal64FromNumber (decimal64 *, const decNumber *, decContext *);
+decNumber *decimal64ToNumber (const decimal64 *, decNumber *);
+
+void __host_to_ieee_64 (_Decimal64 in, decimal64 *out);
+void __ieee_to_host_64 (decimal64 in, _Decimal64 *out);
+
+decimal64 *
+decimal64FromNumber (decimal64 *d64, const decNumber *dn,
+                     decContext *set)
+{
+  /* decimal64 and _Decimal64 are different types.  */
+  union
+    {
+      _Decimal64 _Dec;
+      decimal64 dec;
+    } u;
+
+  __dpd64FromNumber (d64, dn, set);
+
+  /* __dpd64FromNumber returns in big endian. But _dpd_to_bid64 takes
+     host endian. */
+  __ieee_to_host_64 (*d64, &u._Dec);
+
+  /* Convert DPD to BID.  */
+  _dpd_to_bid64 (&u._Dec, &u._Dec);
+
+  /* dfp.c is in bid endian. */
+  __host_to_ieee_64 (u._Dec, &u.dec);
+
+  /* d64 is returned as a pointer to _Decimal64 here.  */
+  *d64 = u.dec;
+
+  return d64;
+}
+
+decNumber *
+decimal64ToNumber (const decimal64 *bid64, decNumber *dn)
+{
+  /* decimal64 and _Decimal64 are different types.  */
+  union
+    {
+      _Decimal64 _Dec;
+      decimal64 dec;
+    } u;
+
+  /* bid64 is a pointer to _Decimal64 in bid endian. But _bid_to_dpd64
+     takes host endian.  */
+  __ieee_to_host_64 (*bid64, &u._Dec);
+
+  /* Convert BID to DPD.  */
+  _bid_to_dpd64 (&u._Dec, &u._Dec);
+
+  /* __dpd64ToNumber is in bid endian.  */
+  __host_to_ieee_64 (u._Dec, &u.dec);
+
+  return __dpd64ToNumber (&u.dec, dn);
+}
+
+char *
+decimal64ToString (const decimal64 *d64, char *string)
+{
+  decNumber dn;                        /* work */
+  decimal64ToNumber (d64, &dn);
+  decNumberToString (&dn, string);
+  return string;
+}
+
+char *
+decimal64ToEngString (const decimal64 *d64, char *string)
+{
+  decNumber dn;                        /* work */
+  decimal64ToNumber (d64, &dn);
+  decNumberToEngString (&dn, string);
+  return string;
+}
+
+decimal64 *
+decimal64FromString (decimal64 *result, const char *string,
+                     decContext *set)
+{
+  decContext dc;               /* work */
+  decNumber dn;                        /* .. */
+
+  decContextDefault (&dc, DEC_INIT_DECIMAL64); /* no traps, please */
+  dc.round = set->round;       /* use supplied rounding */
+
+  decNumberFromString (&dn, string, &dc);      /* will round if needed */
+  decimal64FromNumber (result, &dn, &dc);
+  if (dc.status != 0)
+    {                          /* something happened */
+      decContextSetStatus (set, dc.status);    /* .. pass it on */
+    }
+  return result;
+}
diff --git a/libdecnumber/bid/decimal64.h b/libdecnumber/bid/decimal64.h
new file mode 100644 (file)
index 0000000..94d4d0c
--- /dev/null
@@ -0,0 +1 @@
+#include "dpd/decimal64.h"
diff --git a/libdecnumber/bid/host-ieee128.c b/libdecnumber/bid/host-ieee128.c
new file mode 100644 (file)
index 0000000..2c8ea32
--- /dev/null
@@ -0,0 +1,82 @@
+/* This is a software decimal floating point library.
+   Copyright (C) 2007 Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file.  (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <limits.h>
+
+#include "config.h"
+#include "gstdint.h"
+#include "bid-dpd.h"
+#include "decimal128.h"
+
+extern uint32_t __dec_byte_swap (uint32_t);
+void __host_to_ieee_128 (_Decimal128 in, decimal128 *out);
+void __ieee_to_host_128 (decimal128 in, _Decimal128 *out);
+
+#ifndef WORDS_BIGENDIAN
+#define WORDS_BIGENDIAN 0
+#endif
+
+static void
+__swap128 (char *src, char *dst)
+{
+  uint32_t t1, t2, t3, t4;
+
+  if (!WORDS_BIGENDIAN)
+    {
+      memcpy (&t1, src, 4);
+      memcpy (&t2, src + 4, 4);
+      memcpy (&t3, src + 8, 4);
+      memcpy (&t4, src + 12, 4);
+      t1 = __dec_byte_swap (t1);
+      t2 = __dec_byte_swap (t2);
+      t3 = __dec_byte_swap (t3);
+      t4 = __dec_byte_swap (t4);
+      memcpy (dst, &t4, 4);
+      memcpy (dst + 4, &t3, 4);
+      memcpy (dst + 8, &t2, 4);
+      memcpy (dst + 12, &t1, 4);
+    }
+  else
+    memcpy (dst, src, 16);
+}
+
+void
+__host_to_ieee_128 (_Decimal128 in, decimal128 *out)
+{
+  __swap128 ((char *) &in, (char *) out);
+}
+
+void
+__ieee_to_host_128 (decimal128 in, _Decimal128 *out)
+{
+  __swap128 ((char *) &in, (char *) out);
+}
diff --git a/libdecnumber/bid/host-ieee32.c b/libdecnumber/bid/host-ieee32.c
new file mode 100644 (file)
index 0000000..639662e
--- /dev/null
@@ -0,0 +1,105 @@
+/* This is a software decimal floating point library.
+   Copyright (C) 2007 Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file.  (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+/* This implements IEEE 754R decimal floating point arithmetic, but
+   does not provide a mechanism for setting the rounding mode, or for
+   generating or handling exceptions.  Conversions between decimal
+   floating point types and other types depend on C library functions.
+
+   Contributed by Ben Elliston  <bje@au.ibm.com>.  */
+
+/* The intended way to use this file is to make two copies, add `#define '
+   to one copy, then compile both copies and add them to libgcc.a.  */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <limits.h>
+
+#include "config.h"
+#include "gstdint.h"
+#include "bid-dpd.h"
+#include "decimal32.h"
+
+uint32_t __dec_byte_swap (uint32_t);
+void __host_to_ieee_32 (_Decimal32 in, decimal32 *out);
+void __ieee_to_host_32 (decimal32 in, _Decimal32 *out);
+
+#ifndef WORDS_BIGENDIAN
+#define WORDS_BIGENDIAN 0
+#endif
+
+uint32_t
+__dec_byte_swap (uint32_t in)
+{
+  uint32_t out = 0;
+  unsigned char *p = (unsigned char *) &out;
+  union {
+    uint32_t i;
+    unsigned char b[4];
+  } u;
+
+  u.i = in;
+  p[0] = u.b[3];
+  p[1] = u.b[2];
+  p[2] = u.b[1];
+  p[3] = u.b[0];
+
+  return out;
+}
+
+void
+__host_to_ieee_32 (_Decimal32 in, decimal32 *out)
+{
+  uint32_t t;
+
+  if (!WORDS_BIGENDIAN)
+    {
+      memcpy (&t, &in, 4);
+      t = __dec_byte_swap (t);
+      memcpy (out, &t, 4);
+    }
+  else
+    memcpy (out, &in, 4);
+}
+
+void
+__ieee_to_host_32 (decimal32 in, _Decimal32 *out)
+{
+  uint32_t t;
+
+  if (!WORDS_BIGENDIAN)
+    {
+      memcpy (&t, &in, 4);
+      t = __dec_byte_swap (t);
+      memcpy (out, &t, 4);
+    }
+  else
+    memcpy (out, &in, 4);
+}
diff --git a/libdecnumber/bid/host-ieee64.c b/libdecnumber/bid/host-ieee64.c
new file mode 100644 (file)
index 0000000..3c98985
--- /dev/null
@@ -0,0 +1,86 @@
+/* This is a software decimal floating point library.
+   Copyright (C) 2007 Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 2, or (at your option) any later
+version.
+
+In addition to the permissions in the GNU General Public License, the
+Free Software Foundation gives you unlimited permission to link the
+compiled version of this file into combinations with other programs,
+and to distribute those combinations without any restriction coming
+from the use of this file.  (The General Public License restrictions
+do apply in other respects; for example, they cover modification of
+the file, and distribution when not linked into a combine
+executable.)
+
+GCC is distributed in the hope that it will be useful, but WITHOUT ANY
+WARRANTY; without even the implied warranty of MERCHANTABILITY or
+FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+for more details.
+
+You should have received a copy of the GNU General Public License
+along with GCC; see the file COPYING.  If not, write to the Free
+Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
+02110-1301, USA.  */
+
+/* This implements IEEE 754R decimal floating point arithmetic, but
+   does not provide a mechanism for setting the rounding mode, or for
+   generating or handling exceptions.  Conversions between decimal
+   floating point types and other types depend on C library functions.
+
+   Contributed by Ben Elliston  <bje@au.ibm.com>.  */
+
+/* The intended way to use this file is to make two copies, add `#define '
+   to one copy, then compile both copies and add them to libgcc.a.  */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <limits.h>
+
+#include "config.h"
+#include "gstdint.h"
+#include "bid-dpd.h"
+#include "decimal64.h"
+
+uint32_t __dec_byte_swap (uint32_t);
+void __host_to_ieee_64 (_Decimal64 in, decimal64 *out);
+void __ieee_to_host_64 (decimal64 in, _Decimal64 *out);
+
+#ifndef WORDS_BIGENDIAN
+#define WORDS_BIGENDIAN 0
+#endif
+
+static void
+__swap64 (char *src, char *dst)
+{
+  uint32_t t1, t2;
+
+  if (!WORDS_BIGENDIAN) 
+    {
+      memcpy (&t1, src, 4);
+      memcpy (&t2, src + 4, 4);
+      t1 = __dec_byte_swap (t1);
+      t2 = __dec_byte_swap (t2);
+      memcpy (dst, &t2, 4);
+      memcpy (dst + 4, &t1, 4);
+    }
+  else
+    memcpy (dst, src, 8);
+}
+
+void
+__host_to_ieee_64 (_Decimal64 in, decimal64 *out)
+{
+  __swap64 ((char *) &in, (char *) out);
+}
+
+void
+__ieee_to_host_64 (decimal64 in, _Decimal64 *out)
+{
+  __swap64 ((char *) &in, (char *) out);
+}
index 1d4e9a3..b25b9e9 100644 (file)
 /* Define to 1 if you have the ANSI C header files. */
 #undef STDC_HEADERS
 
+/* Define to 1 if your processor stores words with the most significant byte
+   first (like Motorola and SPARC, unlike Intel and VAX). */
+#undef WORDS_BIGENDIAN
+
 /* Define to empty if `const' does not conform to ANSI C. */
 #undef const
 
index f9cb0ef..4079e4b 100755 (executable)
@@ -311,7 +311,7 @@ ac_includes_default="\
 # include <unistd.h>
 #endif"
 
-ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS SET_MAKE CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT RANLIB ac_ct_RANLIB ACLOCAL AUTOCONF AUTOHEADER WARN_CFLAGS WARN_PEDANTIC WERROR CPP EGREP MAINT LIBOBJS LTLIBOBJS'
+ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS SET_MAKE CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT RANLIB ac_ct_RANLIB ACLOCAL AUTOCONF AUTOHEADER WARN_CFLAGS WARN_PEDANTIC WERROR CPP EGREP MAINT enable_decimal_float LIBOBJS LTLIBOBJS'
 ac_subst_files=''
 
 # Initialize some variables set by options.
@@ -846,6 +846,10 @@ Optional Features:
   --enable-FEATURE[=ARG]  include FEATURE [ARG=yes]
   --enable-werror-always  enable -Werror despite compiler version
   --enable-maintainer-mode enable rules only needed by maintainers
+  --enable-decimal-float={no,yes,bid,dpd}
+                       enable decimal float extension to C.  Selecting 'bid'
+                       or 'dpd' choses which decimal floating point format
+                       to use
 
 Some influential environment variables:
   CC          C compiler command
@@ -2616,7 +2620,7 @@ fi
 echo "$as_me:$LINENO: result: $acx_cv_prog_cc_pedantic__Wno_long_long" >&5
 echo "${ECHO_T}$acx_cv_prog_cc_pedantic__Wno_long_long" >&6
 if test $acx_cv_prog_cc_pedantic__Wno_long_long = yes; then
-  WARN_PEDANTIC="-pedantic -Wno-long-long"
+  WARN_PEDANTIC="$WARN_PEDANTIC${WARN_PEDANTIC:+ }-pedantic -Wno-long-long"
 fi
 
 
@@ -2635,11 +2639,12 @@ else
   enable_werror_always=no
 fi;
 if test $enable_werror_always = yes; then
-  WERROR=-Werror
+  WERROR="$WERROR${WERROR:+ }-Werror"
 fi
 
 
 
+
 # Checks for header files.
 ac_ext=c
 ac_cpp='$CPP $CPPFLAGS'
@@ -7316,6 +7321,285 @@ else
 fi
 
 
+# Default decimal format
+# If you change the defaults here, be sure to change them in the GCC directory also
+echo "$as_me:$LINENO: checking for decimal floating point" >&5
+echo $ECHO_N "checking for decimal floating point... $ECHO_C" >&6
+# Check whether --enable-decimal-float or --disable-decimal-float was given.
+if test "${enable_decimal_float+set}" = set; then
+  enableval="$enable_decimal_float"
+
+  case $enable_decimal_float in
+    yes | no | bid | dpd) ;;
+    *) { { echo "$as_me:$LINENO: error: '$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'." >&5
+echo "$as_me: error: '$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'." >&2;}
+   { (exit 1); exit 1; }; } ;;
+  esac
+
+else
+
+  case $target in
+    powerpc*-*-linux* | i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=yes
+      ;;
+    *)
+      enable_decimal_float=no
+      ;;
+  esac
+
+fi;
+
+# x86's use BID format instead of DPD
+# In theory --enable-decimal-float=no should not compile anything
+# For the sake of simplicity, just use the default format in this directory
+if test x$enable_decimal_float = xyes -o x$enable_decimal_float = xno; then
+  case $target in
+    i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=bid
+      ;;
+    *)
+      enable_decimal_float=dpd
+      ;;
+  esac
+fi
+
+echo "$as_me:$LINENO: result: $enable_decimal_float" >&5
+echo "${ECHO_T}$enable_decimal_float" >&6
+
+
+echo "$as_me:$LINENO: checking whether byte ordering is bigendian" >&5
+echo $ECHO_N "checking whether byte ordering is bigendian... $ECHO_C" >&6
+if test "${ac_cv_c_bigendian+set}" = set; then
+  echo $ECHO_N "(cached) $ECHO_C" >&6
+else
+  # See if sys/param.h defines the BYTE_ORDER macro.
+cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h.  */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h.  */
+#include <sys/types.h>
+#include <sys/param.h>
+
+int
+main ()
+{
+#if !BYTE_ORDER || !BIG_ENDIAN || !LITTLE_ENDIAN
+ bogus endian macros
+#endif
+
+  ;
+  return 0;
+}
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+  (eval $ac_compile) 2>conftest.er1
+  ac_status=$?
+  grep -v '^ *+' conftest.er1 >conftest.err
+  rm -f conftest.er1
+  cat conftest.err >&5
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); } &&
+        { ac_try='test -z "$ac_c_werror_flag"
+                        || test ! -s conftest.err'
+  { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+  (eval $ac_try) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); }; } &&
+        { ac_try='test -s conftest.$ac_objext'
+  { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+  (eval $ac_try) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); }; }; then
+  # It does; now see whether it defined to BIG_ENDIAN or not.
+cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h.  */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h.  */
+#include <sys/types.h>
+#include <sys/param.h>
+
+int
+main ()
+{
+#if BYTE_ORDER != BIG_ENDIAN
+ not big endian
+#endif
+
+  ;
+  return 0;
+}
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+  (eval $ac_compile) 2>conftest.er1
+  ac_status=$?
+  grep -v '^ *+' conftest.er1 >conftest.err
+  rm -f conftest.er1
+  cat conftest.err >&5
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); } &&
+        { ac_try='test -z "$ac_c_werror_flag"
+                        || test ! -s conftest.err'
+  { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+  (eval $ac_try) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); }; } &&
+        { ac_try='test -s conftest.$ac_objext'
+  { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+  (eval $ac_try) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); }; }; then
+  ac_cv_c_bigendian=yes
+else
+  echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+ac_cv_c_bigendian=no
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+else
+  echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+# It does not; compile a test program.
+if test "$cross_compiling" = yes; then
+  # try to guess the endianness by grepping values into an object file
+  ac_cv_c_bigendian=unknown
+  cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h.  */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h.  */
+short ascii_mm[] = { 0x4249, 0x4765, 0x6E44, 0x6961, 0x6E53, 0x7953, 0 };
+short ascii_ii[] = { 0x694C, 0x5454, 0x656C, 0x6E45, 0x6944, 0x6E61, 0 };
+void _ascii () { char *s = (char *) ascii_mm; s = (char *) ascii_ii; }
+short ebcdic_ii[] = { 0x89D3, 0xE3E3, 0x8593, 0x95C5, 0x89C4, 0x9581, 0 };
+short ebcdic_mm[] = { 0xC2C9, 0xC785, 0x95C4, 0x8981, 0x95E2, 0xA8E2, 0 };
+void _ebcdic () { char *s = (char *) ebcdic_mm; s = (char *) ebcdic_ii; }
+int
+main ()
+{
+ _ascii (); _ebcdic ();
+  ;
+  return 0;
+}
+_ACEOF
+rm -f conftest.$ac_objext
+if { (eval echo "$as_me:$LINENO: \"$ac_compile\"") >&5
+  (eval $ac_compile) 2>conftest.er1
+  ac_status=$?
+  grep -v '^ *+' conftest.er1 >conftest.err
+  rm -f conftest.er1
+  cat conftest.err >&5
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); } &&
+        { ac_try='test -z "$ac_c_werror_flag"
+                        || test ! -s conftest.err'
+  { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+  (eval $ac_try) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); }; } &&
+        { ac_try='test -s conftest.$ac_objext'
+  { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+  (eval $ac_try) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); }; }; then
+  if grep BIGenDianSyS conftest.$ac_objext >/dev/null ; then
+  ac_cv_c_bigendian=yes
+fi
+if grep LiTTleEnDian conftest.$ac_objext >/dev/null ; then
+  if test "$ac_cv_c_bigendian" = unknown; then
+    ac_cv_c_bigendian=no
+  else
+    # finding both strings is unlikely to happen, but who knows?
+    ac_cv_c_bigendian=unknown
+  fi
+fi
+else
+  echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+else
+  cat >conftest.$ac_ext <<_ACEOF
+/* confdefs.h.  */
+_ACEOF
+cat confdefs.h >>conftest.$ac_ext
+cat >>conftest.$ac_ext <<_ACEOF
+/* end confdefs.h.  */
+int
+main ()
+{
+  /* Are we little or big endian?  From Harbison&Steele.  */
+  union
+  {
+    long l;
+    char c[sizeof (long)];
+  } u;
+  u.l = 1;
+  exit (u.c[sizeof (long) - 1] == 1);
+}
+_ACEOF
+rm -f conftest$ac_exeext
+if { (eval echo "$as_me:$LINENO: \"$ac_link\"") >&5
+  (eval $ac_link) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); } && { ac_try='./conftest$ac_exeext'
+  { (eval echo "$as_me:$LINENO: \"$ac_try\"") >&5
+  (eval $ac_try) 2>&5
+  ac_status=$?
+  echo "$as_me:$LINENO: \$? = $ac_status" >&5
+  (exit $ac_status); }; }; then
+  ac_cv_c_bigendian=no
+else
+  echo "$as_me: program exited with status $ac_status" >&5
+echo "$as_me: failed program was:" >&5
+sed 's/^/| /' conftest.$ac_ext >&5
+
+( exit $ac_status )
+ac_cv_c_bigendian=yes
+fi
+rm -f core *.core gmon.out bb.out conftest$ac_exeext conftest.$ac_objext conftest.$ac_ext
+fi
+fi
+rm -f conftest.err conftest.$ac_objext conftest.$ac_ext
+fi
+echo "$as_me:$LINENO: result: $ac_cv_c_bigendian" >&5
+echo "${ECHO_T}$ac_cv_c_bigendian" >&6
+case $ac_cv_c_bigendian in
+  yes)
+
+cat >>confdefs.h <<\_ACEOF
+#define WORDS_BIGENDIAN 1
+_ACEOF
+ ;;
+  no)
+     ;;
+  *)
+    { { echo "$as_me:$LINENO: error: unknown endianness
+presetting ac_cv_c_bigendian=no (or yes) will help" >&5
+echo "$as_me: error: unknown endianness
+presetting ac_cv_c_bigendian=no (or yes) will help" >&2;}
+   { (exit 1); exit 1; }; } ;;
+esac
+
+
 # Output.
 
           ac_config_headers="$ac_config_headers config.h:config.in"
@@ -7980,6 +8264,7 @@ s,@WERROR@,$WERROR,;t t
 s,@CPP@,$CPP,;t t
 s,@EGREP@,$EGREP,;t t
 s,@MAINT@,$MAINT,;t t
+s,@enable_decimal_float@,$enable_decimal_float,;t t
 s,@LIBOBJS@,$LIBOBJS,;t t
 s,@LTLIBOBJS@,$LTLIBOBJS,;t t
 CEOF
index 90884a8..ed56e2c 100644 (file)
@@ -71,6 +71,51 @@ else
 fi
 AC_SUBST(MAINT)
 
+# Default decimal format
+# If you change the defaults here, be sure to change them in the GCC directory also
+AC_MSG_CHECKING([for decimal floating point])
+AC_ARG_ENABLE(decimal-float,
+[  --enable-decimal-float={no,yes,bid,dpd}
+                       enable decimal float extension to C.  Selecting 'bid'
+                       or 'dpd' choses which decimal floating point format
+                       to use],
+[
+  case $enable_decimal_float in
+    yes | no | bid | dpd) ;;
+    *) AC_MSG_ERROR(['$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'.]) ;;
+  esac
+],
+[
+  case $target in
+    powerpc*-*-linux* | i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=yes
+      ;;
+    *)
+      enable_decimal_float=no
+      ;;
+  esac
+])
+
+# x86's use BID format instead of DPD
+# In theory --enable-decimal-float=no should not compile anything
+# For the sake of simplicity, just use the default format in this directory
+if test x$enable_decimal_float = xyes -o x$enable_decimal_float = xno; then
+  case $target in
+    i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=bid
+      ;;
+    *)
+      enable_decimal_float=dpd
+      ;;
+  esac
+fi
+
+AC_MSG_RESULT($enable_decimal_float)
+AC_SUBST(enable_decimal_float)
+
+AC_C_BIGENDIAN
+
 # Output.
 
 AC_CONFIG_HEADERS(config.h:config.in, [echo timestamp > stamp-h1])
similarity index 96%
rename from libdecnumber/decimal128.h
rename to libdecnumber/dpd/decimal128.h
index bcc75a1..a6bc87b 100644 (file)
@@ -90,6 +90,12 @@ typedef struct
 #define decimal128SetSign(d, b) {                                   \
     (d)->bytes[0]|=((unsigned)(b)<<7);}
 
+  /* Clear sign */
+#define decimal128ClearSign(d) {(d)->bytes[0]&=~0x80;}
+
+  /* Flip sign */
+#define decimal128FlipSign(d) {(d)->bytes[0]^=0x80;}
+
   /* Set exponent continuation [does not apply bias] */
   /* This assumes range has been checked and exponent previously 0; */
   /* type of exponent must be unsigned */
@@ -103,12 +109,14 @@ typedef struct
   /* ------------------------------------------------------------------ */
 
 #ifdef IN_LIBGCC2
+#ifndef decimal128FromString
 #define decimal128FromString __decimal128FromString
 #define decimal128ToString __decimal128ToString
 #define decimal128ToEngString __decimal128ToEngString
 #define decimal128FromNumber __decimal128FromNumber
 #define decimal128ToNumber __decimal128ToNumber
 #endif
+#endif
 
   /* String conversions */
 decimal128 *decimal128FromString (decimal128 *, const char *, decContext *);
similarity index 96%
rename from libdecnumber/decimal32.h
rename to libdecnumber/dpd/decimal32.h
index bb22824..cbe8ab4 100644 (file)
@@ -81,6 +81,12 @@ typedef struct
 #define decimal32SetSign(d, b) {                                    \
     (d)->bytes[0]|=((unsigned)(b)<<7);}
 
+  /* Clear sign */
+#define decimal32ClearSign(d) {(d)->bytes[0]&=~0x80;}
+
+  /* Flip sign */
+#define decimal32FlipSign(d) {(d)->bytes[0]^=0x80;}
+
   /* Set exponent continuation [does not apply bias] */
   /* This assumes range has been checked and exponent previously 0; */
   /* type of exponent must be unsigned */
@@ -93,12 +99,14 @@ typedef struct
   /* ------------------------------------------------------------------ */
 
 #ifdef IN_LIBGCC2
+#ifndef decimal32FromString
 #define decimal32FromString __decimal32FromString
 #define decimal32ToString __decimal32ToString
 #define decimal32ToEngString __decimal32ToEngString
 #define decimal32FromNumber __decimal32FromNumber
 #define decimal32ToNumber __decimal32ToNumber
 #endif
+#endif
 
 /* String conversions.  */
 decimal32 *decimal32FromString (decimal32 *, const char *, decContext *);
similarity index 96%
rename from libdecnumber/decimal64.h
rename to libdecnumber/dpd/decimal64.h
index 2c7131c..fb73395 100644 (file)
@@ -85,6 +85,12 @@ typedef struct
 #define decimal64SetSign(d, b) {                                    \
     (d)->bytes[0]|=((unsigned)(b)<<7);}
 
+  /* Clear sign */
+#define decimal64ClearSign(d) {(d)->bytes[0]&=~0x80;}
+
+  /* Flip sign */
+#define decimal64FlipSign(d) {(d)->bytes[0]^=0x80;}
+
   /* Set exponent continuation [does not apply bias] */
   /* This assumes range has been checked and exponent previously 0; type */
   /* of exponent must be unsigned */
@@ -97,12 +103,14 @@ typedef struct
   /* ------------------------------------------------------------------ */
 
 #ifdef IN_LIBGCC2
+#ifndef decimal64FromString
 #define decimal64FromString __decimal64FromString
 #define decimal64ToString __decimal64ToString
 #define decimal64ToEngString __decimal64ToEngString
 #define decimal64FromNumber __decimal64FromNumber
 #define decimal64ToNumber __decimal64ToNumber
 #endif
+#endif
 
   /* String conversions */
 decimal64 *decimal64FromString (decimal64 *, const char *, decContext *);
index 4b42b2c..4271a40 100644 (file)
@@ -1,3 +1,18 @@
+2007-03-23  Michael Meissner  <michael.meissner@amd.com>
+           H.J. Lu  <hongjiu.lu@intel.com>
+
+       * Makefile.in (enable_decimal_float): New.
+       (DECNUMINC): Add
+       -I$(srcdir)/../libdecnumber/$(enable_decimal_float).
+       (dec-objects): Move decimal32, decimal64 and decimal128 to ...
+       (decbits-filenames): This.
+       (decbits-objects): New.
+       (libgcc-objects): Add $(decbits-objects).
+
+       * configure.ac: Support * --enable-decimal-float={no,yes,bid,dpd}.
+       Substitute enable_decimal_float.
+       * configure: Regenerated.
+
 2007-03-19  Hans-Peter Nilsson  <hp@axis.com>
 
        * config.host (cris-*-elf | cris-*-none): Set extra_parts.
index 63c9512..684c80a 100644 (file)
@@ -37,6 +37,7 @@ SHELL = @SHELL@
 
 enable_shared = @enable_shared@
 decimal_float = @decimal_float@
+enable_decimal_float = @enable_decimal_float@
 
 host_noncanonical = @host_noncanonical@
 
@@ -183,7 +184,13 @@ export slibdir
 
 version := $(shell $(CC) -dumpversion)
 
-DECNUMINC = -I$(srcdir)/../libdecnumber -I$(MULTIBUILDTOP)../../libdecnumber
+ifeq ($(decimal_float),yes)
+DECNUMINC = -I$(srcdir)/../libdecnumber/$(enable_decimal_float) \
+           -I$(srcdir)/../libdecnumber \
+           -I$(MULTIBUILDTOP)../../libdecnumber
+else
+DECNUMINC =
+endif
 
 # Specify the directories to be searched for header files.
 # Both . and srcdir are used, in that order,
@@ -467,22 +474,32 @@ ifneq ($(D32PBIT)$(D64PBIT)$(D128PBIT),)
 dec-filenames += decContext decNumber decExcept decRound decLibrary decUtility
 endif
 
+dec-objects = $(patsubst %,%$(objext),$(dec-filenames))
+$(dec-objects): %$(objext): $(srcdir)/../libdecnumber/%.c
+       $(gcc_compile) -c $<
+libgcc-objects += $(dec-objects)
+
+decbits-filenames =
 ifneq ($(D32PBIT),)
-dec-filenames += decimal32
+decbits-filenames += decimal32
 endif
 
 ifneq ($(D64PBIT),)
-dec-filenames += decimal64
+decbits-filenames += decimal64
 endif
 
 ifneq ($(D128PBIT),)
-dec-filenames += decimal128
+decbits-filenames += decimal128
 endif
 
-dec-objects = $(patsubst %,%$(objext),$(dec-filenames))
-$(dec-objects): %$(objext): $(srcdir)/../libdecnumber/%.c
+ifeq ($(enable_decimal_float),bid)
+decbits-filenames += bid2dpd_dpd2bid
+endif
+
+decbits-objects = $(patsubst %,%$(objext),$(decbits-filenames))
+$(decbits-objects): %$(objext): $(srcdir)/../libdecnumber/$(enable_decimal_float)/%.c
        $(gcc_compile) -c $<
-libgcc-objects += $(dec-objects)
+libgcc-objects += $(decbits-objects)
 
 # Next build individual support functions.
 ifneq ($(D32PBIT),)
index b90dfa1..492e976 100644 (file)
@@ -272,7 +272,7 @@ PACKAGE_STRING='GNU C Runtime Library 1.0'
 PACKAGE_BUGREPORT=''
 
 ac_unique_file="static-object.mk"
-ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS libgcc_topdir enable_shared slibdir INSTALL_PROGRAM INSTALL_SCRIPT INSTALL_DATA AWK build build_cpu build_vendor build_os host host_cpu host_vendor host_os host_noncanonical build_libsubdir build_subdir host_subdir target_subdir AR ac_ct_AR LIPO ac_ct_LIPO NM ac_ct_NM RANLIB ac_ct_RANLIB STRIP ac_ct_STRIP LN_S CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT CPP decimal_float vis_hide tmake_file extra_parts asm_hidden_op LIBOBJS LTLIBOBJS'
+ac_subst_vars='SHELL PATH_SEPARATOR PACKAGE_NAME PACKAGE_TARNAME PACKAGE_VERSION PACKAGE_STRING PACKAGE_BUGREPORT exec_prefix prefix program_transform_name bindir sbindir libexecdir datadir sysconfdir sharedstatedir localstatedir libdir includedir oldincludedir infodir mandir build_alias host_alias target_alias DEFS ECHO_C ECHO_N ECHO_T LIBS libgcc_topdir enable_shared slibdir INSTALL_PROGRAM INSTALL_SCRIPT INSTALL_DATA AWK build build_cpu build_vendor build_os host host_cpu host_vendor host_os host_noncanonical build_libsubdir build_subdir host_subdir target_subdir AR ac_ct_AR LIPO ac_ct_LIPO NM ac_ct_NM RANLIB ac_ct_RANLIB STRIP ac_ct_STRIP LN_S CC CFLAGS LDFLAGS CPPFLAGS ac_ct_CC EXEEXT OBJEXT CPP decimal_float enable_decimal_float vis_hide tmake_file extra_parts asm_hidden_op LIBOBJS LTLIBOBJS'
 ac_subst_files=''
 
 # Initialize some variables set by options.
@@ -811,6 +811,10 @@ Optional Features:
   --enable-FEATURE[=ARG]  include FEATURE [ARG=yes]
   --disable-shared        don't provide a shared libgcc
   --enable-version-specific-runtime-libs    Specify that runtime libraries should be installed in a compiler-specific directory
+  --enable-decimal-float={no,yes,bid,dpd}
+                       enable decimal float extension to C.  Selecting 'bid'
+                       or 'dpd' choses which decimal floating point format
+                       to use
 
 Optional Packages:
   --with-PACKAGE[=ARG]    use PACKAGE [ARG=yes]
@@ -3286,6 +3290,45 @@ echo "${ECHO_T}$libgcc_cv_dfp" >&6
 decimal_float=$libgcc_cv_dfp
 
 
+# Check whether --enable-decimal-float or --disable-decimal-float was given.
+if test "${enable_decimal_float+set}" = set; then
+  enableval="$enable_decimal_float"
+
+  case $enable_decimal_float in
+    yes | no | bid | dpd) ;;
+    *) { { echo "$as_me:$LINENO: error: '$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'." >&5
+echo "$as_me: error: '$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'." >&2;}
+   { (exit 1); exit 1; }; } ;;
+  esac
+
+else
+
+  case $target in
+    powerpc*-*-linux* | i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=yes
+      ;;
+    *)
+      enable_decimal_float=no
+      ;;
+  esac
+
+fi;
+
+# x86's use BID format instead of DPD
+if test x$enable_decimal_float = xyes; then
+  case $target in
+    i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=bid
+      ;;
+    *)
+      enable_decimal_float=dpd
+      ;;
+  esac
+fi
+
+
 # Collect host-machine-specific information.
 . ${srcdir}/config.host
 
@@ -4039,6 +4082,7 @@ s,@EXEEXT@,$EXEEXT,;t t
 s,@OBJEXT@,$OBJEXT,;t t
 s,@CPP@,$CPP,;t t
 s,@decimal_float@,$decimal_float,;t t
+s,@enable_decimal_float@,$enable_decimal_float,;t t
 s,@vis_hide@,$vis_hide,;t t
 s,@tmake_file@,$tmake_file,;t t
 s,@extra_parts@,$extra_parts,;t t
index 825805d..2e95e31 100644 (file)
@@ -107,6 +107,42 @@ AC_CACHE_CHECK([whether decimal floating point is supported], [libgcc_cv_dfp],
 decimal_float=$libgcc_cv_dfp
 AC_SUBST(decimal_float)
 
+AC_ARG_ENABLE(decimal-float,
+[  --enable-decimal-float={no,yes,bid,dpd}
+                       enable decimal float extension to C.  Selecting 'bid'
+                       or 'dpd' choses which decimal floating point format
+                       to use],
+[
+  case $enable_decimal_float in
+    yes | no | bid | dpd) ;;
+    *) AC_MSG_ERROR(['$enable_decimal_float' is an invalid value for --enable-decimal-float.
+Valid choices are 'yes', 'bid', 'dpd', and 'no'.]) ;;
+  esac
+],
+[
+  case $target in
+    powerpc*-*-linux* | i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=yes
+      ;;
+    *)
+      enable_decimal_float=no
+      ;;
+  esac
+])
+
+# x86's use BID format instead of DPD
+if test x$enable_decimal_float = xyes; then
+  case $target in
+    i?86*-*-linux* | x86_64*-*-linux*)
+      enable_decimal_float=bid
+      ;;
+    *)
+      enable_decimal_float=dpd
+      ;;
+  esac
+fi
+AC_SUBST(enable_decimal_float)
+
 # Collect host-machine-specific information.
 . ${srcdir}/config.host