From 6c4bd13baa5736a780be42c4e485b446fa6757b1 Mon Sep 17 00:00:00 2001
From: Grzegorz Wawiorko <35483345+gwawiork@users.noreply.github.com>
Date: Wed, 3 Jul 2019 13:22:33 +0200
Subject: [PATCH] Bruteforce tests - make compatibility to cl20_trunk branch
 (#320)

---
 .../math_brute_force/reference_math.c         | 992 +++++++++---------
 test_conformance/math_brute_force/unary.c     |   2 -
 .../math_brute_force/unary_two_results.c      |   2 -
 .../math_brute_force/unary_two_results_i.c    |   2 -
 test_conformance/math_brute_force/unary_u.c   |   3 +-
 5 files changed, 515 insertions(+), 486 deletions(-)

diff --git a/test_conformance/math_brute_force/reference_math.c b/test_conformance/math_brute_force/reference_math.c
index 60a2e68f..406ba46d 100644
--- a/test_conformance/math_brute_force/reference_math.c
+++ b/test_conformance/math_brute_force/reference_math.c
@@ -13,16 +13,15 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 //
+
+#include "../../test_common/harness/compat.h"
 #include "reference_math.h"
-#include <math.h>
 #include <limits.h>
 
 #if !defined(_WIN32)
 #include <string.h>
-#include <stdint.h>
 #endif
 
-#include <float.h>
 #include "Utility.h"
 
 #if defined( __SSE__ ) || (defined( _MSC_VER ) && (defined(_M_IX86) || defined(_M_X64)))
@@ -32,8 +31,26 @@
     #include <emmintrin.h>
 #endif
 
-#ifndef M_PI
-    #define M_PI    3.14159265358979323846264338327950288
+#if defined(__ANDROID__)
+    #define sqrtl(X) sqrt(X)
+    #define expm1l(X) expm1(X)
+    #define log1pl(X) log1p(X)
+    #define sinl(X) sin(X)
+    #define asinl(X) asin(X)
+    #define cosl(X) cos(X)
+    #define expl(X) exp(X)
+    #define tanl(X) tan(X)
+    #define atan2l(X,Y) atan2(X,Y)
+    #define atanl(X) atan(X)
+    #define tanhl(X) tanh(X)
+    #define coshl(X) cosh(X)
+    #define sinhl(X) sinh(X)
+
+    float  modff_android( float value, float  *iptr )
+    {
+        *iptr = truncf( value );
+        return copysignf( isinf( value ) ? 0.0 : value - *iptr, value );
+    }
 #endif
 
 #ifndef M_PI_4
@@ -92,7 +109,7 @@ static const uint64d_t _CL_NAN = { 0x7ff8000000000000ULL };
 static double reduce1( double x );
 static double reduce1( double x )
 {
-    if( fabs(x) >= MAKE_HEX_DOUBLE(0x1.0p53, 0x1LL, 53) )
+    if( fabs(x) >= HEX_DBL( +, 1, 0, +, 53 ) )
     {
         if( fabs(x) == INFINITY )
             return cl_make_nan();
@@ -101,7 +118,7 @@ static double reduce1( double x )
     }
 
     // Find the nearest multiple of 2
-    const double r = copysign( MAKE_HEX_DOUBLE(0x1.0p53, 0x1LL, 53), x );
+    const double r = copysign( HEX_DBL( +, 1, 0, +, 53 ), x );
     double z = x + r;
     z -= r;
 
@@ -113,7 +130,7 @@ static double reduce1( double x )
 static double reduceHalf( double x );
 static double reduceHalf( double x )
 {
-    if( fabs(x) >= MAKE_HEX_DOUBLE(0x1.0p52, 0x1LL, 52) )
+    if( fabs(x) >= HEX_DBL( +, 1, 0, +, 52 ) )
     {
         if( fabs(x) == INFINITY )
             return cl_make_nan();
@@ -122,7 +139,7 @@ static double reduceHalf( double x )
     }
 
     // Find the nearest multiple of 1
-    const double r = copysign( MAKE_HEX_DOUBLE(0x1.0p52, 0x1LL, 52), x );
+    const double r = copysign( HEX_DBL( +, 1, 0, +, 52 ), x );
     double z = x + r;
     z -= r;
 
@@ -137,7 +154,7 @@ double reference_atanpi( double x) {  return reference_atan( x ) / M_PI;    }
 double reference_atan2pi( double y, double x ) { return reference_atan2( y, x) / M_PI; }
 double reference_cospi( double x)
 {
-    if( reference_fabs(x) >= MAKE_HEX_DOUBLE(0x1.0p52, 0x1LL, 52) )
+    if( reference_fabs(x) >= HEX_DBL( +, 1, 0, +, 52 ) )
     {
         if( reference_fabs(x) == INFINITY )
             return cl_make_nan();
@@ -232,13 +249,13 @@ static inline int extractf( float x, cl_uint *mant )
     // verify that frexp works properly
     if( NULL == frexppf )
     {
-        if( 0.5f == frexpf( MAKE_HEX_FLOAT(0x1.0p-130f, 0x1L, -130), &e ) && e == -129 )
+        if( 0.5f == frexpf( HEX_FLT( +, 1, 0, -, 130 ), &e ) && e == -129 )
             frexppf = frexpf;
         else
             frexppf = fallback_frexpf;
     }
 
-    *mant = (cl_uint) (MAKE_HEX_FLOAT(0x1.0p32f, 0x1L, 32) * fabsf( frexppf( x, &e )));
+    *mant = (cl_uint) (HEX_FLT( +, 1, 0, +, 32 ) * fabsf( frexppf( x, &e )));
     return e - 1;
 }
 
@@ -302,7 +319,7 @@ static float round_to_nearest_even_float( cl_ulong p, int exponent )
         return r;
     }
     if( exponent == -150 && p > 0x8000000000000000ULL)
-        return MAKE_HEX_FLOAT(0x1.0p-149f, 0x1L, -149);
+        return HEX_FLT( +, 1, 0, -, 149 );
     if( exponent <= -150 )       return 0.0f;
 
     //Figure out which bits go where
@@ -614,7 +631,7 @@ float reference_fma( float a, float b, float c, int shouldFlush )
     return ua.d;
 }
 
-double reference_exp10( double x) {   return reference_exp2( x * MAKE_HEX_DOUBLE(0x1.a934f0979a371p+1, 0x1a934f0979a371LL, -51) );    }
+double reference_exp10( double x) {   return reference_exp2( x * HEX_DBL( +, 1, a934f0979a371, +, 1 ) );    }
 
 
 int   reference_ilogb( double x )
@@ -634,7 +651,7 @@ int   reference_ilogb( double x )
 
     if( exponent == 0 )
     {   // deal with denormals
-        u.f = x * MAKE_HEX_DOUBLE(0x1.0p64, 0x1LL, 64);
+        u.f = x * HEX_DBL( +, 1, 0, +, 64 );
         exponent = (cl_int) (u.u >> 52) & 0x7ff;
         if( exponent == 0 )
             return gDeviceILogb0;
@@ -752,7 +769,7 @@ double reference_tanpi( double x)
     double z = reference_fabs(x);
 
     // if big and even  -- caution: only works if x only has single precision
-    if( z >= MAKE_HEX_DOUBLE(0x1.0p24, 0x1LL, 24) )
+    if( z >= HEX_DBL( +, 1, 0, +, 24 ) )
     {
         if( z == INFINITY )
             return x - x;       // nan
@@ -865,13 +882,17 @@ double reference_powr( double x, double y )
 double reference_fract( double x, double *ip )
 {
     float i;
+#if defined(__ANDROID__)
+    float f =  modff_android((float) x, &i );
+#else
     float f = modff((float) x, &i );
+#endif
     if( f < 0.0 )
     {
         f = 1.0f + f;
         i -= 1.0f;
         if( f == 1.0f )
-            f = MAKE_HEX_FLOAT(0x1.fffffep-1f, 0x1fffffeL, -25);
+            f = HEX_FLT( +, 1, fffffe, -, 1 );
     }
     *ip = i;
     return f;
@@ -1093,7 +1114,7 @@ double reference_round( double x )
     if( absx < 0.5 )
         return reference_copysignd( 0.0, x );
 
-    if( absx < MAKE_HEX_DOUBLE(0x1.0p53, 0x1LL, 53) )
+    if( absx < HEX_DBL( +, 1, 0, +, 53 ) )
         x = reference_trunc( x + reference_copysignd( 0.5, x ) );
 
     return x;
@@ -1101,7 +1122,7 @@ double reference_round( double x )
 
 double reference_trunc( double x )
 {
-    if( fabs(x) < MAKE_HEX_DOUBLE(0x1.0p53, 0x1LL, 53) )
+    if( fabs(x) < HEX_DBL( +, 1, 0, +, 53 ) )
     {
         cl_long l = (cl_long) x;
 
@@ -1141,9 +1162,9 @@ double reference_scalbn(double x, int i)
 
 double reference_rint( double x )
 {
-    if( reference_fabs(x) < MAKE_HEX_DOUBLE(0x1.0p52, 0x1LL, 52)  )
+    if( reference_fabs(x) < HEX_DBL( +, 1, 0, +, 52 )  )
     {
-        double magic = reference_copysignd( MAKE_HEX_DOUBLE(0x1.0p52, 0x1LL, 52), x );
+        double magic = reference_copysignd( HEX_DBL( +, 1, 0, +, 52 ), x );
         double rounded = (x + magic) - magic;
         x = reference_copysignd( rounded, x );
     }
@@ -1179,12 +1200,12 @@ double reference_asinh( double x )
         return x + x;
 
     double absx = reference_fabs(x);
-    if( absx < MAKE_HEX_DOUBLE(0x1.0p-28, 0x1LL, -28) )
+    if( absx < HEX_DBL( +, 1, 0, -, 28 ) )
         return x;
 
     double sign = reference_copysignd(1.0, x);
 
-    if( absx > MAKE_HEX_DOUBLE(0x1.0p+28, 0x1LL, 28) )
+    if( absx > HEX_DBL( +, 1, 0, +, 28 ) )
         return sign * (reference_log( absx ) + 0.693147180559945309417232121458176568);    // log(2)
 
     if( absx > 2.0 )
@@ -1267,7 +1288,7 @@ double reference_expm1( double x )
 { // Note: only suitable for verifying single precision. Doesn't have range of a full double expm1 implementation. It is only accurate to 47 bits or less.
 
     // early out for small numbers and NaNs
-    if( ! (reference_fabs(x) > MAKE_HEX_DOUBLE(0x1.0p-24, 0x1LL, -24)) )
+    if( ! (reference_fabs(x) > HEX_DBL( +, 1, 0, -, 24 )) )
         return x;
 
     // early out for large negative numbers
@@ -1291,15 +1312,15 @@ double reference_expm1( double x )
 
 
     // exponentials[i] = expm1(reduction[i])
-    static const double exponentials[17] = {    MAKE_HEX_DOUBLE( -0x1.92e9a0720d3ecp-2, -0x192e9a0720d3ecLL, -54),    MAKE_HEX_DOUBLE( -0x1.6adb1cd9205eep-2, -0x16adb1cd9205eeLL, -54),
-                                                MAKE_HEX_DOUBLE( -0x1.40373d42ce2e3p-2, -0x140373d42ce2e3LL, -54),    MAKE_HEX_DOUBLE( -0x1.12d35a41ba104p-2, -0x112d35a41ba104LL, -54),
-                                                MAKE_HEX_DOUBLE( -0x1.c5041854df7d4p-3, -0x1c5041854df7d4LL, -55),    MAKE_HEX_DOUBLE( -0x1.5e25fb4fde211p-3, -0x15e25fb4fde211LL, -55),
-                                                MAKE_HEX_DOUBLE( -0x1.e14aed893eef4p-4, -0x1e14aed893eef4LL, -56),    MAKE_HEX_DOUBLE( -0x1.f0540438fd5c3p-5, -0x1f0540438fd5c3LL, -57),
-                                                MAKE_HEX_DOUBLE( 0x0p+0, +0, 0),
-                                                MAKE_HEX_DOUBLE( 0x1.082b577d34ed8p-4, +0x1082b577d34ed8LL, -56),    MAKE_HEX_DOUBLE( 0x1.10b022db7ae68p-3, +0x110b022db7ae68LL, -55),
-                                                MAKE_HEX_DOUBLE( 0x1.a65c0b85ac1a9p-3, +0x1a65c0b85ac1a9LL, -55),    MAKE_HEX_DOUBLE( 0x1.22d78f0fa061ap-2, +0x122d78f0fa061aLL, -54),
-                                                MAKE_HEX_DOUBLE( 0x1.77a45d8117fd5p-2, +0x177a45d8117fd5LL, -54),    MAKE_HEX_DOUBLE( 0x1.d1e944f6fbdaap-2, +0x1d1e944f6fbdaaLL, -54),
-                                                MAKE_HEX_DOUBLE( 0x1.190048ef6002p-1, +0x1190048ef60020LL, -53),    MAKE_HEX_DOUBLE( 0x1.4c2531c3c0d38p-1, +0x14c2531c3c0d38LL, -53),
+    static const double exponentials[17] = {    HEX_DBL( -, 1, 92e9a0720d3ec, -, 2 ),    HEX_DBL( -, 1, 6adb1cd9205ee, -, 2 ),
+                                                HEX_DBL( -, 1, 40373d42ce2e3, -, 2 ),    HEX_DBL( -, 1, 12d35a41ba104, -, 2 ),
+                                                HEX_DBL( -, 1, c5041854df7d4, -, 3 ),    HEX_DBL( -, 1, 5e25fb4fde211, -, 3 ),
+                                                HEX_DBL( -, 1, e14aed893eef4, -, 4 ),    HEX_DBL( -, 1, f0540438fd5c3, -, 5 ),
+                                                HEX_DBL( +, 0, 0,             +, 0 ),
+                                                HEX_DBL( +, 1, 082b577d34ed8, -, 4 ),    HEX_DBL( +, 1, 10b022db7ae68, -, 3 ),
+                                                HEX_DBL( +, 1, a65c0b85ac1a9, -, 3 ),    HEX_DBL( +, 1, 22d78f0fa061a, -, 2 ),
+                                                HEX_DBL( +, 1, 77a45d8117fd5, -, 2 ),    HEX_DBL( +, 1, d1e944f6fbdaa, -, 2 ),
+                                                HEX_DBL( +, 1, 190048ef6002,  -, 1 ),    HEX_DBL( +, 1, 4c2531c3c0d38, -, 1 ),
                                             };
 
 
@@ -1330,146 +1351,146 @@ double reference_expm1( double x )
     // table of e**(i-150)
     static const double exp_table[128+150+1] =
     {
-        MAKE_HEX_DOUBLE( 0x1.82e16284f5ec5p-217, +0x182e16284f5ec5LL, -269),    MAKE_HEX_DOUBLE( 0x1.06e9996332ba1p-215, +0x106e9996332ba1LL, -267),
-        MAKE_HEX_DOUBLE( 0x1.6555cb289e44bp-214, +0x16555cb289e44bLL, -266),    MAKE_HEX_DOUBLE( 0x1.e5ab364643354p-213, +0x1e5ab364643354LL, -265),
-        MAKE_HEX_DOUBLE( 0x1.4a0bd18e64df7p-211, +0x14a0bd18e64df7LL, -263),    MAKE_HEX_DOUBLE( 0x1.c094499cc578ep-210, +0x1c094499cc578eLL, -262),
-        MAKE_HEX_DOUBLE( 0x1.30d759323998cp-208, +0x130d759323998cLL, -260),    MAKE_HEX_DOUBLE( 0x1.9e5278ab1d4cfp-207, +0x19e5278ab1d4cfLL, -259),
-        MAKE_HEX_DOUBLE( 0x1.198fa3f30be25p-205, +0x1198fa3f30be25LL, -257),    MAKE_HEX_DOUBLE( 0x1.7eae636d6144ep-204, +0x17eae636d6144eLL, -256),
-        MAKE_HEX_DOUBLE( 0x1.040f1036f4863p-202, +0x1040f1036f4863LL, -254),    MAKE_HEX_DOUBLE( 0x1.6174e477a895fp-201, +0x16174e477a895fLL, -253),
-        MAKE_HEX_DOUBLE( 0x1.e065b82dd95ap-200, +0x1e065b82dd95a0LL, -252),    MAKE_HEX_DOUBLE( 0x1.4676be491d129p-198, +0x14676be491d129LL, -250),
-        MAKE_HEX_DOUBLE( 0x1.bbb5da5f7c823p-197, +0x1bbb5da5f7c823LL, -249),    MAKE_HEX_DOUBLE( 0x1.2d884eef5fdcbp-195, +0x12d884eef5fdcbLL, -247),
-        MAKE_HEX_DOUBLE( 0x1.99d3397ab8371p-194, +0x199d3397ab8371LL, -246),    MAKE_HEX_DOUBLE( 0x1.1681497ed15b3p-192, +0x11681497ed15b3LL, -244),
-        MAKE_HEX_DOUBLE( 0x1.7a870f597fdbdp-191, +0x17a870f597fdbdLL, -243),    MAKE_HEX_DOUBLE( 0x1.013c74edba307p-189, +0x1013c74edba307LL, -241),
-        MAKE_HEX_DOUBLE( 0x1.5d9ec4ada7938p-188, +0x15d9ec4ada7938LL, -240),    MAKE_HEX_DOUBLE( 0x1.db2edfd20fa7cp-187, +0x1db2edfd20fa7cLL, -239),
-        MAKE_HEX_DOUBLE( 0x1.42eb9f39afb0bp-185, +0x142eb9f39afb0bLL, -237),    MAKE_HEX_DOUBLE( 0x1.b6e4f282b43f4p-184, +0x1b6e4f282b43f4LL, -236),
-        MAKE_HEX_DOUBLE( 0x1.2a42764857b19p-182, +0x12a42764857b19LL, -234),    MAKE_HEX_DOUBLE( 0x1.9560792d19314p-181, +0x19560792d19314LL, -233),
-        MAKE_HEX_DOUBLE( 0x1.137b6ce8e052cp-179, +0x1137b6ce8e052cLL, -231),    MAKE_HEX_DOUBLE( 0x1.766b45dd84f18p-178, +0x1766b45dd84f18LL, -230),
-        MAKE_HEX_DOUBLE( 0x1.fce362fe6e7dp-177, +0x1fce362fe6e7d0LL, -229),    MAKE_HEX_DOUBLE( 0x1.59d34dd8a5473p-175, +0x159d34dd8a5473LL, -227),
-        MAKE_HEX_DOUBLE( 0x1.d606847fc727ap-174, +0x1d606847fc727aLL, -226),    MAKE_HEX_DOUBLE( 0x1.3f6a58b795de3p-172, +0x13f6a58b795de3LL, -224),
-        MAKE_HEX_DOUBLE( 0x1.b2216c6efdac1p-171, +0x1b2216c6efdac1LL, -223),    MAKE_HEX_DOUBLE( 0x1.2705b5b153fb8p-169, +0x12705b5b153fb8LL, -221),
-        MAKE_HEX_DOUBLE( 0x1.90fa1509bd50dp-168, +0x190fa1509bd50dLL, -220),    MAKE_HEX_DOUBLE( 0x1.107df698da211p-166, +0x1107df698da211LL, -218),
-        MAKE_HEX_DOUBLE( 0x1.725ae6e7b9d35p-165, +0x1725ae6e7b9d35LL, -217),    MAKE_HEX_DOUBLE( 0x1.f75d6040aeff6p-164, +0x1f75d6040aeff6LL, -216),
-        MAKE_HEX_DOUBLE( 0x1.56126259e093cp-162, +0x156126259e093cLL, -214),    MAKE_HEX_DOUBLE( 0x1.d0ec7df4f7bd4p-161, +0x1d0ec7df4f7bd4LL, -213),
-        MAKE_HEX_DOUBLE( 0x1.3bf2cf6722e46p-159, +0x13bf2cf6722e46LL, -211),    MAKE_HEX_DOUBLE( 0x1.ad6b22f55db42p-158, +0x1ad6b22f55db42LL, -210),
-        MAKE_HEX_DOUBLE( 0x1.23d1f3e5834ap-156, +0x123d1f3e5834a0LL, -208),    MAKE_HEX_DOUBLE( 0x1.8c9feab89b876p-155, +0x18c9feab89b876LL, -207),
-        MAKE_HEX_DOUBLE( 0x1.0d88cf37f00ddp-153, +0x10d88cf37f00ddLL, -205),    MAKE_HEX_DOUBLE( 0x1.6e55d2bf838a7p-152, +0x16e55d2bf838a7LL, -204),
-        MAKE_HEX_DOUBLE( 0x1.f1e6b68529e33p-151, +0x1f1e6b68529e33LL, -203),    MAKE_HEX_DOUBLE( 0x1.525be4e4e601dp-149, +0x1525be4e4e601dLL, -201),
-        MAKE_HEX_DOUBLE( 0x1.cbe0a45f75eb1p-148, +0x1cbe0a45f75eb1LL, -200),    MAKE_HEX_DOUBLE( 0x1.3884e838aea68p-146, +0x13884e838aea68LL, -198),
-        MAKE_HEX_DOUBLE( 0x1.a8c1f14e2af5dp-145, +0x1a8c1f14e2af5dLL, -197),    MAKE_HEX_DOUBLE( 0x1.20a717e64a9bdp-143, +0x120a717e64a9bdLL, -195),
-        MAKE_HEX_DOUBLE( 0x1.8851d84118908p-142, +0x18851d84118908LL, -194),    MAKE_HEX_DOUBLE( 0x1.0a9bdfb02d24p-140, +0x10a9bdfb02d240LL, -192),
-        MAKE_HEX_DOUBLE( 0x1.6a5bea046b42ep-139, +0x16a5bea046b42eLL, -191),    MAKE_HEX_DOUBLE( 0x1.ec7f3b269efa8p-138, +0x1ec7f3b269efa8LL, -190),
-        MAKE_HEX_DOUBLE( 0x1.4eafb87eab0f2p-136, +0x14eafb87eab0f2LL, -188),    MAKE_HEX_DOUBLE( 0x1.c6e2d05bbcp-135, +0x1c6e2d05bbc000LL, -187),
-        MAKE_HEX_DOUBLE( 0x1.35208867c2683p-133, +0x135208867c2683LL, -185),    MAKE_HEX_DOUBLE( 0x1.a425b317eeacdp-132, +0x1a425b317eeacdLL, -184),
-        MAKE_HEX_DOUBLE( 0x1.1d8508fa8246ap-130, +0x11d8508fa8246aLL, -182),    MAKE_HEX_DOUBLE( 0x1.840fbc08fdc8ap-129, +0x1840fbc08fdc8aLL, -181),
-        MAKE_HEX_DOUBLE( 0x1.07b7112bc1ffep-127, +0x107b7112bc1ffeLL, -179),    MAKE_HEX_DOUBLE( 0x1.666d0dad2961dp-126, +0x1666d0dad2961dLL, -178),
-        MAKE_HEX_DOUBLE( 0x1.e726c3f64d0fep-125, +0x1e726c3f64d0feLL, -177),    MAKE_HEX_DOUBLE( 0x1.4b0dc07cabf98p-123, +0x14b0dc07cabf98LL, -175),
-        MAKE_HEX_DOUBLE( 0x1.c1f2daf3b6a46p-122, +0x1c1f2daf3b6a46LL, -174),    MAKE_HEX_DOUBLE( 0x1.31c5957a47de2p-120, +0x131c5957a47de2LL, -172),
-        MAKE_HEX_DOUBLE( 0x1.9f96445648b9fp-119, +0x19f96445648b9fLL, -171),    MAKE_HEX_DOUBLE( 0x1.1a6baeadb4fd1p-117, +0x11a6baeadb4fd1LL, -169),
-        MAKE_HEX_DOUBLE( 0x1.7fd974d372e45p-116, +0x17fd974d372e45LL, -168),    MAKE_HEX_DOUBLE( 0x1.04da4d1452919p-114, +0x104da4d1452919LL, -166),
-        MAKE_HEX_DOUBLE( 0x1.62891f06b345p-113, +0x162891f06b3450LL, -165),    MAKE_HEX_DOUBLE( 0x1.e1dd273aa8a4ap-112, +0x1e1dd273aa8a4aLL, -164),
-        MAKE_HEX_DOUBLE( 0x1.4775e0840bfddp-110, +0x14775e0840bfddLL, -162),    MAKE_HEX_DOUBLE( 0x1.bd109d9d94bdap-109, +0x1bd109d9d94bdaLL, -161),
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-        MAKE_HEX_DOUBLE( 0x1.7f2bc6e599b7ep+161, +0x17f2bc6e599b7eLL, 109),    MAKE_HEX_DOUBLE( 0x1.04644610df2ffp+163, +0x104644610df2ffLL, 111),
-        MAKE_HEX_DOUBLE( 0x1.61e8b490ac4e6p+164, +0x161e8b490ac4e6LL, 112),    MAKE_HEX_DOUBLE( 0x1.e103201f299b3p+165, +0x1e103201f299b3LL, 113),
-        MAKE_HEX_DOUBLE( 0x1.46e1b637beaf5p+167, +0x146e1b637beaf5LL, 115),    MAKE_HEX_DOUBLE( 0x1.bc473cfede104p+168, +0x1bc473cfede104LL, 116),
-        MAKE_HEX_DOUBLE( 0x1.2deb1b9c85e2dp+170, +0x12deb1b9c85e2dLL, 118),    MAKE_HEX_DOUBLE( 0x1.9a5981ca67d1p+171, +0x19a5981ca67d10LL, 119),
-        MAKE_HEX_DOUBLE( 0x1.16dc8a9ef670bp+173, +0x116dc8a9ef670bLL, 121),    MAKE_HEX_DOUBLE( 0x1.7b03166942309p+174, +0x17b03166942309LL, 122),
-        MAKE_HEX_DOUBLE( 0x1.0190be03150a7p+176, +0x10190be03150a7LL, 124),    MAKE_HEX_DOUBLE( 0x1.5e1152f9a8119p+177, +0x15e1152f9a8119LL, 125),
-        MAKE_HEX_DOUBLE( 0x1.dbca9263f8487p+178, +0x1dbca9263f8487LL, 126),    MAKE_HEX_DOUBLE( 0x1.43556dee93beep+180, +0x143556dee93beeLL, 128),
-        MAKE_HEX_DOUBLE( 0x1.b774c12967dfap+181, +0x1b774c12967dfaLL, 129),    MAKE_HEX_DOUBLE( 0x1.2aa4306e922c2p+183, +0x12aa4306e922c2LL, 131),
-        MAKE_HEX_DOUBLE( 0x1.95e54c5dd4217p+184, +0x195e54c5dd4217LL, 132)    };
+        HEX_DBL( +, 1, 82e16284f5ec5, -, 217 ),    HEX_DBL( +, 1, 06e9996332ba1, -, 215 ),
+        HEX_DBL( +, 1, 6555cb289e44b, -, 214 ),    HEX_DBL( +, 1, e5ab364643354, -, 213 ),
+        HEX_DBL( +, 1, 4a0bd18e64df7, -, 211 ),    HEX_DBL( +, 1, c094499cc578e, -, 210 ),
+        HEX_DBL( +, 1, 30d759323998c, -, 208 ),    HEX_DBL( +, 1, 9e5278ab1d4cf, -, 207 ),
+        HEX_DBL( +, 1, 198fa3f30be25, -, 205 ),    HEX_DBL( +, 1, 7eae636d6144e, -, 204 ),
+        HEX_DBL( +, 1, 040f1036f4863, -, 202 ),    HEX_DBL( +, 1, 6174e477a895f, -, 201 ),
+        HEX_DBL( +, 1, e065b82dd95a,  -, 200 ),    HEX_DBL( +, 1, 4676be491d129, -, 198 ),
+        HEX_DBL( +, 1, bbb5da5f7c823, -, 197 ),    HEX_DBL( +, 1, 2d884eef5fdcb, -, 195 ),
+        HEX_DBL( +, 1, 99d3397ab8371, -, 194 ),    HEX_DBL( +, 1, 1681497ed15b3, -, 192 ),
+        HEX_DBL( +, 1, 7a870f597fdbd, -, 191 ),    HEX_DBL( +, 1, 013c74edba307, -, 189 ),
+        HEX_DBL( +, 1, 5d9ec4ada7938, -, 188 ),    HEX_DBL( +, 1, db2edfd20fa7c, -, 187 ),
+        HEX_DBL( +, 1, 42eb9f39afb0b, -, 185 ),    HEX_DBL( +, 1, b6e4f282b43f4, -, 184 ),
+        HEX_DBL( +, 1, 2a42764857b19, -, 182 ),    HEX_DBL( +, 1, 9560792d19314, -, 181 ),
+        HEX_DBL( +, 1, 137b6ce8e052c, -, 179 ),    HEX_DBL( +, 1, 766b45dd84f18, -, 178 ),
+        HEX_DBL( +, 1, fce362fe6e7d,  -, 177 ),    HEX_DBL( +, 1, 59d34dd8a5473, -, 175 ),
+        HEX_DBL( +, 1, d606847fc727a, -, 174 ),    HEX_DBL( +, 1, 3f6a58b795de3, -, 172 ),
+        HEX_DBL( +, 1, b2216c6efdac1, -, 171 ),    HEX_DBL( +, 1, 2705b5b153fb8, -, 169 ),
+        HEX_DBL( +, 1, 90fa1509bd50d, -, 168 ),    HEX_DBL( +, 1, 107df698da211, -, 166 ),
+        HEX_DBL( +, 1, 725ae6e7b9d35, -, 165 ),    HEX_DBL( +, 1, f75d6040aeff6, -, 164 ),
+        HEX_DBL( +, 1, 56126259e093c, -, 162 ),    HEX_DBL( +, 1, d0ec7df4f7bd4, -, 161 ),
+        HEX_DBL( +, 1, 3bf2cf6722e46, -, 159 ),    HEX_DBL( +, 1, ad6b22f55db42, -, 158 ),
+        HEX_DBL( +, 1, 23d1f3e5834a,  -, 156 ),    HEX_DBL( +, 1, 8c9feab89b876, -, 155 ),
+        HEX_DBL( +, 1, 0d88cf37f00dd, -, 153 ),    HEX_DBL( +, 1, 6e55d2bf838a7, -, 152 ),
+        HEX_DBL( +, 1, f1e6b68529e33, -, 151 ),    HEX_DBL( +, 1, 525be4e4e601d, -, 149 ),
+        HEX_DBL( +, 1, cbe0a45f75eb1, -, 148 ),    HEX_DBL( +, 1, 3884e838aea68, -, 146 ),
+        HEX_DBL( +, 1, a8c1f14e2af5d, -, 145 ),    HEX_DBL( +, 1, 20a717e64a9bd, -, 143 ),
+        HEX_DBL( +, 1, 8851d84118908, -, 142 ),    HEX_DBL( +, 1, 0a9bdfb02d24,  -, 140 ),
+        HEX_DBL( +, 1, 6a5bea046b42e, -, 139 ),    HEX_DBL( +, 1, ec7f3b269efa8, -, 138 ),
+        HEX_DBL( +, 1, 4eafb87eab0f2, -, 136 ),    HEX_DBL( +, 1, c6e2d05bbc,    -, 135 ),
+        HEX_DBL( +, 1, 35208867c2683, -, 133 ),    HEX_DBL( +, 1, a425b317eeacd, -, 132 ),
+        HEX_DBL( +, 1, 1d8508fa8246a, -, 130 ),    HEX_DBL( +, 1, 840fbc08fdc8a, -, 129 ),
+        HEX_DBL( +, 1, 07b7112bc1ffe, -, 127 ),    HEX_DBL( +, 1, 666d0dad2961d, -, 126 ),
+        HEX_DBL( +, 1, e726c3f64d0fe, -, 125 ),    HEX_DBL( +, 1, 4b0dc07cabf98, -, 123 ),
+        HEX_DBL( +, 1, c1f2daf3b6a46, -, 122 ),    HEX_DBL( +, 1, 31c5957a47de2, -, 120 ),
+        HEX_DBL( +, 1, 9f96445648b9f, -, 119 ),    HEX_DBL( +, 1, 1a6baeadb4fd1, -, 117 ),
+        HEX_DBL( +, 1, 7fd974d372e45, -, 116 ),    HEX_DBL( +, 1, 04da4d1452919, -, 114 ),
+        HEX_DBL( +, 1, 62891f06b345,  -, 113 ),    HEX_DBL( +, 1, e1dd273aa8a4a, -, 112 ),
+        HEX_DBL( +, 1, 4775e0840bfdd, -, 110 ),    HEX_DBL( +, 1, bd109d9d94bda, -, 109 ),
+        HEX_DBL( +, 1, 2e73f53fba844, -, 107 ),    HEX_DBL( +, 1, 9b138170d6bfe, -, 106 ),
+        HEX_DBL( +, 1, 175af0cf60ec5, -, 104 ),    HEX_DBL( +, 1, 7baee1bffa80b, -, 103 ),
+        HEX_DBL( +, 1, 02057d1245ceb, -, 101 ),    HEX_DBL( +, 1, 5eafffb34ba31, -, 100 ),
+        HEX_DBL( +, 1, dca23bae16424, -, 99 ),    HEX_DBL( +, 1, 43e7fc88b8056, -, 97 ),
+        HEX_DBL( +, 1, b83bf23a9a9eb, -, 96 ),    HEX_DBL( +, 1, 2b2b8dd05b318, -, 94 ),
+        HEX_DBL( +, 1, 969d47321e4cc, -, 93 ),    HEX_DBL( +, 1, 1452b7723aed2, -, 91 ),
+        HEX_DBL( +, 1, 778fe2497184c, -, 90 ),    HEX_DBL( +, 1, fe7116182e9cc, -, 89 ),
+        HEX_DBL( +, 1, 5ae191a99585a, -, 87 ),    HEX_DBL( +, 1, d775d87da854d, -, 86 ),
+        HEX_DBL( +, 1, 4063f8cc8bb98, -, 84 ),    HEX_DBL( +, 1, b374b315f87c1, -, 83 ),
+        HEX_DBL( +, 1, 27ec458c65e3c, -, 81 ),    HEX_DBL( +, 1, 923372c67a074, -, 80 ),
+        HEX_DBL( +, 1, 1152eaeb73c08, -, 78 ),    HEX_DBL( +, 1, 737c5645114b5, -, 77 ),
+        HEX_DBL( +, 1, f8e6c24b5592e, -, 76 ),    HEX_DBL( +, 1, 571db733a9d61, -, 74 ),
+        HEX_DBL( +, 1, d257d547e083f, -, 73 ),    HEX_DBL( +, 1, 3ce9b9de78f85, -, 71 ),
+        HEX_DBL( +, 1, aebabae3a41b5, -, 70 ),    HEX_DBL( +, 1, 24b6031b49bda, -, 68 ),
+        HEX_DBL( +, 1, 8dd5e1bb09d7e, -, 67 ),    HEX_DBL( +, 1, 0e5b73d1ff53d, -, 65 ),
+        HEX_DBL( +, 1, 6f741de1748ec, -, 64 ),    HEX_DBL( +, 1, f36bd37f42f3e, -, 63 ),
+        HEX_DBL( +, 1, 536452ee2f75c, -, 61 ),    HEX_DBL( +, 1, cd480a1b7482,  -, 60 ),
+        HEX_DBL( +, 1, 39792499b1a24, -, 58 ),    HEX_DBL( +, 1, aa0de4bf35b38, -, 57 ),
+        HEX_DBL( +, 1, 2188ad6ae3303, -, 55 ),    HEX_DBL( +, 1, 898471fca6055, -, 54 ),
+        HEX_DBL( +, 1, 0b6c3afdde064, -, 52 ),    HEX_DBL( +, 1, 6b7719a59f0e,  -, 51 ),
+        HEX_DBL( +, 1, ee001eed62aa, -, 50 ),    HEX_DBL( +, 1, 4fb547c775da8, -, 48 ),
+        HEX_DBL( +, 1, c8464f7616468, -, 47 ),    HEX_DBL( +, 1, 36121e24d3bba, -, 45 ),
+        HEX_DBL( +, 1, a56e0c2ac7f75, -, 44 ),    HEX_DBL( +, 1, 1e642baeb84a,  -, 42 ),
+        HEX_DBL( +, 1, 853f01d6d53ba, -, 41 ),    HEX_DBL( +, 1, 0885298767e9a, -, 39 ),
+        HEX_DBL( +, 1, 67852a7007e42, -, 38 ),    HEX_DBL( +, 1, e8a37a45fc32e, -, 37 ),
+        HEX_DBL( +, 1, 4c1078fe9228a, -, 35 ),    HEX_DBL( +, 1, c3527e433fab1, -, 34 ),
+        HEX_DBL( +, 1, 32b48bf117da2, -, 32 ),    HEX_DBL( +, 1, a0db0d0ddb3ec, -, 31 ),
+        HEX_DBL( +, 1, 1b48655f37267, -, 29 ),    HEX_DBL( +, 1, 81056ff2c5772, -, 28 ),
+        HEX_DBL( +, 1, 05a628c699fa1, -, 26 ),    HEX_DBL( +, 1, 639e3175a689d, -, 25 ),
+        HEX_DBL( +, 1, e355bbaee85cb, -, 24 ),    HEX_DBL( +, 1, 4875ca227ec38, -, 22 ),
+        HEX_DBL( +, 1, be6c6fdb01612, -, 21 ),    HEX_DBL( +, 1, 2f6053b981d98, -, 19 ),
+        HEX_DBL( +, 1, 9c54c3b43bc8b, -, 18 ),    HEX_DBL( +, 1, 18354238f6764, -, 16 ),
+        HEX_DBL( +, 1, 7cd79b5647c9b, -, 15 ),    HEX_DBL( +, 1, 02cf22526545a, -, 13 ),
+        HEX_DBL( +, 1, 5fc21041027ad, -, 12 ),    HEX_DBL( +, 1, de16b9c24a98f, -, 11 ),
+        HEX_DBL( +, 1, 44e51f113d4d6, -, 9 ),    HEX_DBL( +, 1, b993fe00d5376, -, 8 ),
+        HEX_DBL( +, 1, 2c155b8213cf4, -, 6 ),    HEX_DBL( +, 1, 97db0ccceb0af, -, 5 ),
+        HEX_DBL( +, 1, 152aaa3bf81cc, -, 3 ),    HEX_DBL( +, 1, 78b56362cef38, -, 2 ),
+        HEX_DBL( +, 1, 0, +, 0 ),                HEX_DBL( +, 1, 5bf0a8b145769, +, 1 ),
+        HEX_DBL( +, 1, d8e64b8d4ddae, +, 2 ),    HEX_DBL( +, 1, 415e5bf6fb106, +, 4 ),
+        HEX_DBL( +, 1, b4c902e273a58, +, 5 ),    HEX_DBL( +, 1, 28d389970338f, +, 7 ),
+        HEX_DBL( +, 1, 936dc5690c08f, +, 8 ),    HEX_DBL( +, 1, 122885aaeddaa, +, 10 ),
+        HEX_DBL( +, 1, 749ea7d470c6e, +, 11 ),    HEX_DBL( +, 1, fa7157c470f82, +, 12 ),
+        HEX_DBL( +, 1, 5829dcf95056,  +, 14 ),    HEX_DBL( +, 1, d3c4488ee4f7f, +, 15 ),
+        HEX_DBL( +, 1, 3de1654d37c9a, +, 17 ),    HEX_DBL( +, 1, b00b5916ac955, +, 18 ),
+        HEX_DBL( +, 1, 259ac48bf05d7, +, 20 ),    HEX_DBL( +, 1, 8f0ccafad2a87, +, 21 ),
+        HEX_DBL( +, 1, 0f2ebd0a8002,  +, 23 ),    HEX_DBL( +, 1, 709348c0ea4f9, +, 24 ),
+        HEX_DBL( +, 1, f4f22091940bd, +, 25 ),    HEX_DBL( +, 1, 546d8f9ed26e1, +, 27 ),
+        HEX_DBL( +, 1, ceb088b68e804, +, 28 ),    HEX_DBL( +, 1, 3a6e1fd9eecfd, +, 30 ),
+        HEX_DBL( +, 1, ab5adb9c436,   +, 31 ),    HEX_DBL( +, 1, 226af33b1fdc1, +, 33 ),
+        HEX_DBL( +, 1, 8ab7fb5475fb7, +, 34 ),    HEX_DBL( +, 1, 0c3d3920962c9, +, 36 ),
+        HEX_DBL( +, 1, 6c932696a6b5d, +, 37 ),    HEX_DBL( +, 1, ef822f7f6731d, +, 38 ),
+        HEX_DBL( +, 1, 50bba3796379a, +, 40 ),    HEX_DBL( +, 1, c9aae4631c056, +, 41 ),
+        HEX_DBL( +, 1, 370470aec28ed, +, 43 ),    HEX_DBL( +, 1, a6b765d8cdf6d, +, 44 ),
+        HEX_DBL( +, 1, 1f43fcc4b662c, +, 46 ),    HEX_DBL( +, 1, 866f34a725782, +, 47 ),
+        HEX_DBL( +, 1, 0953e2f3a1ef7, +, 49 ),    HEX_DBL( +, 1, 689e221bc8d5b, +, 50 ),
+        HEX_DBL( +, 1, ea215a1d20d76, +, 51 ),    HEX_DBL( +, 1, 4d13fbb1a001a, +, 53 ),
+        HEX_DBL( +, 1, c4b334617cc67, +, 54 ),    HEX_DBL( +, 1, 33a43d282a519, +, 56 ),
+        HEX_DBL( +, 1, a220d397972eb, +, 57 ),    HEX_DBL( +, 1, 1c25c88df6862, +, 59 ),
+        HEX_DBL( +, 1, 8232558201159, +, 60 ),    HEX_DBL( +, 1, 0672a3c9eb871, +, 62 ),
+        HEX_DBL( +, 1, 64b41c6d37832, +, 63 ),    HEX_DBL( +, 1, e4cf766fe49be, +, 64 ),
+        HEX_DBL( +, 1, 49767bc0483e3, +, 66 ),    HEX_DBL( +, 1, bfc951eb8bb76, +, 67 ),
+        HEX_DBL( +, 1, 304d6aeca254b, +, 69 ),    HEX_DBL( +, 1, 9d97010884251, +, 70 ),
+        HEX_DBL( +, 1, 19103e4080b45, +, 72 ),    HEX_DBL( +, 1, 7e013cd114461, +, 73 ),
+        HEX_DBL( +, 1, 03996528e074c, +, 75 ),    HEX_DBL( +, 1, 60d4f6fdac731, +, 76 ),
+        HEX_DBL( +, 1, df8c5af17ba3b, +, 77 ),    HEX_DBL( +, 1, 45e3076d61699, +, 79 ),
+        HEX_DBL( +, 1, baed16a6e0da7, +, 80 ),    HEX_DBL( +, 1, 2cffdfebde1a1, +, 82 ),
+        HEX_DBL( +, 1, 9919cabefcb69, +, 83 ),    HEX_DBL( +, 1, 160345c9953e3, +, 85 ),
+        HEX_DBL( +, 1, 79dbc9dc53c66, +, 86 ),    HEX_DBL( +, 1, 00c810d464097, +, 88 ),
+        HEX_DBL( +, 1, 5d009394c5c27, +, 89 ),    HEX_DBL( +, 1, da57de8f107a8, +, 90 ),
+        HEX_DBL( +, 1, 425982cf597cd, +, 92 ),    HEX_DBL( +, 1, b61e5ca3a5e31, +, 93 ),
+        HEX_DBL( +, 1, 29bb825dfcf87, +, 95 ),    HEX_DBL( +, 1, 94a90db0d6fe2, +, 96 ),
+        HEX_DBL( +, 1, 12fec759586fd, +, 98 ),    HEX_DBL( +, 1, 75c1dc469e3af, +, 99 ),
+        HEX_DBL( +, 1, fbfd219c43b04, +, 100 ),    HEX_DBL( +, 1, 5936d44e1a146, +, 102 ),
+        HEX_DBL( +, 1, d531d8a7ee79c, +, 103 ),    HEX_DBL( +, 1, 3ed9d24a2d51b, +, 105 ),
+        HEX_DBL( +, 1, b15cfe5b6e17b, +, 106 ),    HEX_DBL( +, 1, 268038c2c0e,   +, 108 ),
+        HEX_DBL( +, 1, 9044a73545d48, +, 109 ),    HEX_DBL( +, 1, 1002ab6218b38, +, 111 ),
+        HEX_DBL( +, 1, 71b3540cbf921, +, 112 ),    HEX_DBL( +, 1, f6799ea9c414a, +, 113 ),
+        HEX_DBL( +, 1, 55779b984f3eb, +, 115 ),    HEX_DBL( +, 1, d01a210c44aa4, +, 116 ),
+        HEX_DBL( +, 1, 3b63da8e9121,  +, 118 ),    HEX_DBL( +, 1, aca8d6b0116b8, +, 119 ),
+        HEX_DBL( +, 1, 234de9e0c74e9, +, 121 ),    HEX_DBL( +, 1, 8bec7503ca477, +, 122 ),
+        HEX_DBL( +, 1, 0d0eda9796b9,  +, 124 ),    HEX_DBL( +, 1, 6db0118477245, +, 125 ),
+        HEX_DBL( +, 1, f1056dc7bf22d, +, 126 ),    HEX_DBL( +, 1, 51c2cc3433801, +, 128 ),
+        HEX_DBL( +, 1, cb108ffbec164, +, 129 ),    HEX_DBL( +, 1, 37f780991b584, +, 131 ),
+        HEX_DBL( +, 1, a801c0ea8ac4d, +, 132 ),    HEX_DBL( +, 1, 20247cc4c46c1, +, 134 ),
+        HEX_DBL( +, 1, 87a0553328015, +, 135 ),    HEX_DBL( +, 1, 0a233dee4f9bb, +, 137 ),
+        HEX_DBL( +, 1, 69b7f55b808ba, +, 138 ),    HEX_DBL( +, 1, eba064644060a, +, 139 ),
+        HEX_DBL( +, 1, 4e184933d9364, +, 141 ),    HEX_DBL( +, 1, c614fe2531841, +, 142 ),
+        HEX_DBL( +, 1, 3494a9b171bf5, +, 144 ),    HEX_DBL( +, 1, a36798b9d969b, +, 145 ),
+        HEX_DBL( +, 1, 1d03d8c0c04af, +, 147 ),    HEX_DBL( +, 1, 836026385c974, +, 148 ),
+        HEX_DBL( +, 1, 073fbe9ac901d, +, 150 ),    HEX_DBL( +, 1, 65cae0969f286, +, 151 ),
+        HEX_DBL( +, 1, e64a58639cae8, +, 152 ),    HEX_DBL( +, 1, 4a77f5f9b50f9, +, 154 ),
+        HEX_DBL( +, 1, c12744a3a28e3, +, 155 ),    HEX_DBL( +, 1, 313b3b6978e85, +, 157 ),
+        HEX_DBL( +, 1, 9eda3a31e587e, +, 158 ),    HEX_DBL( +, 1, 19ebe56b56453, +, 160 ),
+        HEX_DBL( +, 1, 7f2bc6e599b7e, +, 161 ),    HEX_DBL( +, 1, 04644610df2ff, +, 163 ),
+        HEX_DBL( +, 1, 61e8b490ac4e6, +, 164 ),    HEX_DBL( +, 1, e103201f299b3, +, 165 ),
+        HEX_DBL( +, 1, 46e1b637beaf5, +, 167 ),    HEX_DBL( +, 1, bc473cfede104, +, 168 ),
+        HEX_DBL( +, 1, 2deb1b9c85e2d, +, 170 ),    HEX_DBL( +, 1, 9a5981ca67d1,  +, 171 ),
+        HEX_DBL( +, 1, 16dc8a9ef670b, +, 173 ),    HEX_DBL( +, 1, 7b03166942309, +, 174 ),
+        HEX_DBL( +, 1, 0190be03150a7, +, 176 ),    HEX_DBL( +, 1, 5e1152f9a8119, +, 177 ),
+        HEX_DBL( +, 1, dbca9263f8487, +, 178 ),    HEX_DBL( +, 1, 43556dee93bee, +, 180 ),
+        HEX_DBL( +, 1, b774c12967dfa, +, 181 ),    HEX_DBL( +, 1, 2aa4306e922c2, +, 183 ),
+        HEX_DBL( +, 1, 95e54c5dd4217, +, 184 )    };
 
     // scale by e**i --  (expm1(f) + 1)*e**i - 1  = expm1(f) * e**i + e**i - 1 = e**i
     return exp_table[exponent+150] + (f * exp_table[exponent+150] - 1.0);
@@ -1521,7 +1542,7 @@ int    reference_ilogbl( long double x)
 
     if( exponent == 0 )
     {   // deal with denormals
-        u.f =  x * MAKE_HEX_DOUBLE(0x1.0p64, 0x1LL, 64);
+        u.f =  x * HEX_DBL( +, 1, 0, +, 64 );
         exponent = (cl_uint)(u.u >> 52) & 0x7ff;
         if( exponent == 0 )
             return gDeviceILogb0;
@@ -1558,7 +1579,7 @@ double reference_log1p( double x )
 {   // This function is suitable only for verifying log1pf(). It produces several double precision ulps of error.
 
     // Handle small and NaN
-    if( ! ( reference_fabs(x) > MAKE_HEX_DOUBLE(0x1.0p-53, 0x1LL, -53) ) )
+    if( ! ( reference_fabs(x) > HEX_DBL( +, 1, 0, -, 53 ) ) )
         return x;
 
     // deal with special values
@@ -1574,14 +1595,14 @@ double reference_log1p( double x )
         return INFINITY;
 
     // High precision result for when near 0, to avoid problems with the reference result falling in the wrong binade.
-    if( reference_fabs(x) < MAKE_HEX_DOUBLE(0x1.0p-28, 0x1LL, -28) )
+    if( reference_fabs(x) < HEX_DBL( +, 1, 0, -, 28 ) )
         return (1.0 - 0.5 * x) * x;
 
     // Our polynomial is only good in the region +-2**-4.
     // If we aren't in that range then we need to reduce to be in that range
     double correctionLo = -0.0;           // correction down stream to compensate for the reduction, if any
     double correctionHi = -0.0;           // correction down stream to compensate for the exponent, if any
-    if( reference_fabs(x) > MAKE_HEX_DOUBLE(0x1.0p-4, 0x1LL, -4) )
+    if( reference_fabs(x) > HEX_DBL( +, 1, 0, -, 4 ) )
     {
         x += 1.0;   // double should cover any loss of precision here
 
@@ -1594,17 +1615,17 @@ double reference_log1p( double x )
         double f = u.d;
 
         // further reduce f to be within 1/16 of 1.0
-        static const double scale_table[16] = {                  1.0, MAKE_HEX_DOUBLE(0x1.d2d2d2d6e3f79p-1, 0x1d2d2d2d6e3f79LL, -53), MAKE_HEX_DOUBLE(0x1.b8e38e42737a1p-1, 0x1b8e38e42737a1LL, -53), MAKE_HEX_DOUBLE(0x1.a1af28711adf3p-1, 0x1a1af28711adf3LL, -53),
-                                                MAKE_HEX_DOUBLE(0x1.8cccccd88dd65p-1, 0x18cccccd88dd65LL, -53), MAKE_HEX_DOUBLE(0x1.79e79e810ec8fp-1, 0x179e79e810ec8fLL, -53), MAKE_HEX_DOUBLE(0x1.68ba2e94df404p-1, 0x168ba2e94df404LL, -53), MAKE_HEX_DOUBLE(0x1.590b216defb29p-1, 0x1590b216defb29LL, -53),
-                                                MAKE_HEX_DOUBLE(0x1.4aaaaab1500edp-1, 0x14aaaaab1500edLL, -53), MAKE_HEX_DOUBLE(0x1.3d70a3e0d6f73p-1, 0x13d70a3e0d6f73LL, -53), MAKE_HEX_DOUBLE(0x1.313b13bb39f4fp-1, 0x1313b13bb39f4fLL, -53), MAKE_HEX_DOUBLE(0x1.25ed09823f1ccp-1, 0x125ed09823f1ccLL, -53),
-                                                MAKE_HEX_DOUBLE(0x1.1b6db6e77457bp-1, 0x11b6db6e77457bLL, -53), MAKE_HEX_DOUBLE(0x1.11a7b96a3a34fp-1, 0x111a7b96a3a34fLL, -53), MAKE_HEX_DOUBLE(0x1.0888888e46feap-1, 0x10888888e46feaLL, -53), MAKE_HEX_DOUBLE(0x1.00000038e9862p-1, 0x100000038e9862LL, -53) };
+        static const double scale_table[16] = {                  1.0, HEX_DBL( +, 1, d2d2d2d6e3f79, -, 1 ), HEX_DBL( +, 1, b8e38e42737a1, -, 1 ), HEX_DBL( +, 1, a1af28711adf3, -, 1 ),
+                                                HEX_DBL( +, 1, 8cccccd88dd65, -, 1 ), HEX_DBL( +, 1, 79e79e810ec8f, -, 1 ), HEX_DBL( +, 1, 68ba2e94df404, -, 1 ), HEX_DBL( +, 1, 590b216defb29, -, 1 ),
+                                                HEX_DBL( +, 1, 4aaaaab1500ed, -, 1 ), HEX_DBL( +, 1, 3d70a3e0d6f73, -, 1 ), HEX_DBL( +, 1, 313b13bb39f4f, -, 1 ), HEX_DBL( +, 1, 25ed09823f1cc, -, 1 ),
+                                                HEX_DBL( +, 1, 1b6db6e77457b, -, 1 ), HEX_DBL( +, 1, 11a7b96a3a34f, -, 1 ), HEX_DBL( +, 1, 0888888e46fea, -, 1 ), HEX_DBL( +, 1, 00000038e9862, -, 1 ) };
 
         // correction_table[i] = -log( scale_table[i] )
         // All entries have >= 64 bits of precision (rather than the expected 53)
-        static const double correction_table[16] = {                   -0.0, MAKE_HEX_DOUBLE(0x1.7a5c722c16058p-4, 0x17a5c722c16058LL, -56), MAKE_HEX_DOUBLE(0x1.323db16c89ab1p-3, 0x1323db16c89ab1LL, -55), MAKE_HEX_DOUBLE(0x1.a0f87d180629p-3, 0x1a0f87d180629LL, -51),
-                                                       MAKE_HEX_DOUBLE(0x1.050279324e17cp-2, 0x1050279324e17cLL, -54), MAKE_HEX_DOUBLE(0x1.36f885bb270b0p-2, 0x136f885bb270bLL, -50), MAKE_HEX_DOUBLE(0x1.669b771b5cc69p-2, 0x1669b771b5cc69LL, -54), MAKE_HEX_DOUBLE(0x1.94203a6292a05p-2, 0x194203a6292a05LL, -54),
-                                                       MAKE_HEX_DOUBLE(0x1.bfb4f9cb333a4p-2, 0x1bfb4f9cb333a4LL, -54), MAKE_HEX_DOUBLE(0x1.e982376ddb80ep-2, 0x1e982376ddb80eLL, -54), MAKE_HEX_DOUBLE(0x1.08d5d8769b2b2p-1, 0x108d5d8769b2b2LL, -53), MAKE_HEX_DOUBLE(0x1.1c288bc00e0cfp-1, 0x11c288bc00e0cfLL, -53),
-                                                       MAKE_HEX_DOUBLE(0x1.2ec7535b31ecbp-1, 0x12ec7535b31ecbLL, -53), MAKE_HEX_DOUBLE(0x1.40bed0adc63fbp-1, 0x140bed0adc63fbLL, -53), MAKE_HEX_DOUBLE(0x1.521a5c0330615p-1, 0x1521a5c0330615LL, -53), MAKE_HEX_DOUBLE(0x1.62e42f7dd092cp-1, 0x162e42f7dd092cLL, -53) };
+        static const double correction_table[16] = {                   -0.0, HEX_DBL( +, 1, 7a5c722c16058, -, 4 ), HEX_DBL( +, 1, 323db16c89ab1, -, 3 ), HEX_DBL( +, 1, a0f87d180629, -, 3 ),
+                                                       HEX_DBL( +, 1, 050279324e17c, -, 2 ), HEX_DBL( +, 1, 36f885bb270b0, -, 2 ), HEX_DBL( +, 1, 669b771b5cc69, -, 2 ), HEX_DBL( +, 1, 94203a6292a05, -, 2 ),
+                                                       HEX_DBL( +, 1, bfb4f9cb333a4, -, 2 ), HEX_DBL( +, 1, e982376ddb80e, -, 2 ), HEX_DBL( +, 1, 08d5d8769b2b2, -, 1 ), HEX_DBL( +, 1, 1c288bc00e0cf, -, 1 ),
+                                                       HEX_DBL( +, 1, 2ec7535b31ecb, -, 1 ), HEX_DBL( +, 1, 40bed0adc63fb, -, 1 ), HEX_DBL( +, 1, 521a5c0330615, -, 1 ), HEX_DBL( +, 1, 62e42f7dd092c, -, 1 ) };
 
         f *= scale_table[index];
         correctionLo = correction_table[index];
@@ -1617,16 +1638,16 @@ double reference_log1p( double x )
 
 
     // minmax polynomial for p(x) = (log(x+1) - x)/x valid over the range x = [-1/16, 1/16]
-    //          max error MAKE_HEX_DOUBLE(0x1.048f61f9a5ecap-52, 0x1048f61f9a5ecaLL, -104)
-    double p = MAKE_HEX_DOUBLE(-0x1.cc33de97a9d7bp-46, -0x1cc33de97a9d7bLL, -98) +
-               (MAKE_HEX_DOUBLE(-0x1.fffffffff3eb7p-2, -0x1fffffffff3eb7LL, -54) +
-               (MAKE_HEX_DOUBLE(0x1.5555555633ef7p-2, 0x15555555633ef7LL, -54) +
-               (MAKE_HEX_DOUBLE(-0x1.00000062c78p-2, -0x100000062c78LL, -46) +
-               (MAKE_HEX_DOUBLE(0x1.9999958a3321p-3, 0x19999958a3321LL, -51) +
-               (MAKE_HEX_DOUBLE(-0x1.55534ce65c347p-3, -0x155534ce65c347LL, -55) +
-               (MAKE_HEX_DOUBLE(0x1.24957208391a5p-3, 0x124957208391a5LL, -55) +
-               (MAKE_HEX_DOUBLE(-0x1.02287b9a5b4a1p-3, -0x102287b9a5b4a1LL, -55) +
-                MAKE_HEX_DOUBLE(0x1.c757d922180edp-4, 0x1c757d922180edLL, -56) * x)*x)*x)*x)*x)*x)*x)*x;
+    //          max error HEX_DBL( +, 1, 048f61f9a5eca, -, 52 )
+    double p = HEX_DBL( -, 1, cc33de97a9d7b,  -, 46 ) +
+               (HEX_DBL( -, 1, fffffffff3eb7, -, 2 ) +
+               (HEX_DBL( +, 1, 5555555633ef7, -, 2 ) +
+               (HEX_DBL( -, 1, 00000062c78,   -, 2 ) +
+               (HEX_DBL( +, 1, 9999958a3321,  -, 3 ) +
+               (HEX_DBL( -, 1, 55534ce65c347, -, 3 ) +
+               (HEX_DBL( +, 1, 24957208391a5, -, 3 ) +
+               (HEX_DBL( -, 1, 02287b9a5b4a1, -, 3 ) +
+                HEX_DBL( +, 1, c757d922180ed, -, 4 ) * x)*x)*x)*x)*x)*x)*x)*x;
 
     // log(x+1) = x * p(x) + x
     x += x * p;
@@ -1774,8 +1795,7 @@ static const double //two52 = 4.50359962737049600000e+15, /* 0x43300000, 0x00000
         if(ix>=0x43300000)     /* |x|>=2**52, must be -integer */
         return INFINITY;
         t = reference_sinpi(x);
-        if(t==zero)
-        return INFINITY; /* -integer */
+        if(t==zero) return INFINITY; /* -integer */
         nadj = reference_log(pi/reference_fabs(t*x));
 //        if(t<zero) *signgamp = -1;
         x = -x;
@@ -1918,7 +1938,7 @@ long double reference_atanpil( long double x){  return reference_atanl( x ) / M_
 long double reference_atan2pil( long double y, long double x){ return reference_atan2l( y, x) / M_PIL; }
 long double reference_cospil( long double x)
 {
-    if( reference_fabsl(x) >= MAKE_HEX_LONG(0x1.0p54L, 0x1LL, 54) )
+    if( reference_fabsl(x) >= HEX_LDBL( +, 1, 0, +, 54 ) )
     {
         if( reference_fabsl(x) == INFINITY )
             return cl_make_nan();
@@ -2203,7 +2223,7 @@ static inline double_double mul_dd( double_double a, double_double b )
 
 long double reference_exp10l( long double z )
 {
-    const double_double log2_10 = { MAKE_HEX_DOUBLE( 0x1.a934f0979a371p+1, 0x1a934f0979a371LL, 1), MAKE_HEX_DOUBLE( 0x1.7f2495fb7fa6dp-53, 0x17f2495fb7fa6dLL, -53) };
+    const double_double log2_10 = { HEX_DBL( +, 1, a934f0979a371, +, 1 ), HEX_DBL( +, 1, 7f2495fb7fa6d, -, 53 ) };
     double_double x;
     int j;
 
@@ -2244,23 +2264,23 @@ long double reference_exp10l( long double z )
     // of x to [-1/32, 1/32] by subtracting away the nearest value of n/16 from x.
     const double_double corrections[17] =
     {
-        { MAKE_HEX_DOUBLE(0x1.6a09e667f3bcdp-1,0x16a09e667f3bcdLL,-1), MAKE_HEX_DOUBLE(-0x1.bdd3413b26456p-55,-0x1bdd3413b26456LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.7a11473eb0187p-1,0x17a11473eb0187LL,-1), MAKE_HEX_DOUBLE(-0x1.41577ee04992fp-56,-0x141577ee04992fLL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.8ace5422aa0dbp-1,0x18ace5422aa0dbLL,-1), MAKE_HEX_DOUBLE(0x1.6e9f156864b27p-55,0x16e9f156864b27LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.9c49182a3f09p-1,0x19c49182a3f09LL,-1), MAKE_HEX_DOUBLE(0x1.c7c46b071f2bep-57,0x1c7c46b071f2beLL,-57) },
-        { MAKE_HEX_DOUBLE(0x1.ae89f995ad3adp-1,0x1ae89f995ad3adLL,-1), MAKE_HEX_DOUBLE(0x1.7a1cd345dcc81p-55,0x17a1cd345dcc81LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.c199bdd85529cp-1,0x1c199bdd85529cLL,-1), MAKE_HEX_DOUBLE(0x1.11065895048ddp-56,0x111065895048ddLL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.d5818dcfba487p-1,0x1d5818dcfba487LL,-1), MAKE_HEX_DOUBLE(0x1.2ed02d75b3707p-56,0x12ed02d75b3707LL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.ea4afa2a490dap-1,0x1ea4afa2a490daLL,-1), MAKE_HEX_DOUBLE(-0x1.e9c23179c2893p-55,-0x1e9c23179c2893LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1p+0,0x1LL,0), MAKE_HEX_DOUBLE(0x0p+0,0x0LL,0) },
-        { MAKE_HEX_DOUBLE(0x1.0b5586cf9890fp+0,0x10b5586cf9890fLL,0), MAKE_HEX_DOUBLE(0x1.8a62e4adc610bp-54,0x18a62e4adc610bLL,-54) },
-        { MAKE_HEX_DOUBLE(0x1.172b83c7d517bp+0,0x1172b83c7d517bLL,0), MAKE_HEX_DOUBLE(-0x1.19041b9d78a76p-55,-0x119041b9d78a76LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.2387a6e756238p+0,0x12387a6e756238LL,0), MAKE_HEX_DOUBLE(0x1.9b07eb6c70573p-54,0x19b07eb6c70573LL,-54) },
-        { MAKE_HEX_DOUBLE(0x1.306fe0a31b715p+0,0x1306fe0a31b715LL,0), MAKE_HEX_DOUBLE(0x1.6f46ad23182e4p-55,0x16f46ad23182e4LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.3dea64c123422p+0,0x13dea64c123422LL,0), MAKE_HEX_DOUBLE(0x1.ada0911f09ebcp-55,0x1ada0911f09ebcLL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.4bfdad5362a27p+0,0x14bfdad5362a27LL,0), MAKE_HEX_DOUBLE(0x1.d4397afec42e2p-56,0x1d4397afec42e2LL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.5ab07dd485429p+0,0x15ab07dd485429LL,0), MAKE_HEX_DOUBLE(0x1.6324c054647adp-54,0x16324c054647adLL,-54) },
-        { MAKE_HEX_DOUBLE(0x1.6a09e667f3bcdp+0,0x16a09e667f3bcdLL,0), MAKE_HEX_DOUBLE(-0x1.bdd3413b26456p-54,-0x1bdd3413b26456LL,-54) }
+        { HEX_DBL( +, 1, 6a09e667f3bcd, -, 1 ), HEX_DBL( -, 1, bdd3413b26456, -, 55 ) },
+        { HEX_DBL( +, 1, 7a11473eb0187, -, 1 ), HEX_DBL( -, 1, 41577ee04992f, -, 56 ) },
+        { HEX_DBL( +, 1, 8ace5422aa0db, -, 1 ), HEX_DBL( +, 1, 6e9f156864b27, -, 55 ) },
+        { HEX_DBL( +, 1, 9c49182a3f09,  -, 1 ), HEX_DBL( +, 1, c7c46b071f2be, -, 57 ) },
+        { HEX_DBL( +, 1, ae89f995ad3ad, -, 1 ), HEX_DBL( +, 1, 7a1cd345dcc81, -, 55 ) },
+        { HEX_DBL( +, 1, c199bdd85529c, -, 1 ), HEX_DBL( +, 1, 11065895048dd, -, 56 ) },
+        { HEX_DBL( +, 1, d5818dcfba487, -, 1 ), HEX_DBL( +, 1, 2ed02d75b3707, -, 56 ) },
+        { HEX_DBL( +, 1, ea4afa2a490da, -, 1 ), HEX_DBL( -, 1, e9c23179c2893, -, 55 ) },
+        { HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,             +,  0 ) },
+        { HEX_DBL( +, 1, 0b5586cf9890f, +, 0 ), HEX_DBL( +, 1, 8a62e4adc610b, -, 54 ) },
+        { HEX_DBL( +, 1, 172b83c7d517b, +, 0 ), HEX_DBL( -, 1, 19041b9d78a76, -, 55 ) },
+        { HEX_DBL( +, 1, 2387a6e756238, +, 0 ), HEX_DBL( +, 1, 9b07eb6c70573, -, 54 ) },
+        { HEX_DBL( +, 1, 306fe0a31b715, +, 0 ), HEX_DBL( +, 1, 6f46ad23182e4, -, 55 ) },
+        { HEX_DBL( +, 1, 3dea64c123422, +, 0 ), HEX_DBL( +, 1, ada0911f09ebc, -, 55 ) },
+        { HEX_DBL( +, 1, 4bfdad5362a27, +, 0 ), HEX_DBL( +, 1, d4397afec42e2, -, 56 ) },
+        { HEX_DBL( +, 1, 5ab07dd485429, +, 0 ), HEX_DBL( +, 1, 6324c054647ad, -, 54 ) },
+        { HEX_DBL( +, 1, 6a09e667f3bcd, +, 0 ), HEX_DBL( -, 1, bdd3413b26456, -, 54 ) }
 
     };
     int index = (int) rint( x.hi * 16.0 );
@@ -2273,15 +2293,15 @@ long double reference_exp10l( long double z )
 
     // Minimax polynomial for (exp2(x)-1)/x, over the range [-1/32, 1/32].  Max Error: 2 * 0x1.e112p-87
     const double_double c[] = {
-        {MAKE_HEX_DOUBLE(0x1.62e42fefa39efp-1,0x162e42fefa39efLL,-1), MAKE_HEX_DOUBLE(0x1.abc9e3ac1d244p-56,0x1abc9e3ac1d244LL,-56)},
-        {MAKE_HEX_DOUBLE(0x1.ebfbdff82c58fp-3,0x1ebfbdff82c58fLL,-3), MAKE_HEX_DOUBLE(-0x1.5e4987a631846p-57,-0x15e4987a631846LL,-57)},
-        {MAKE_HEX_DOUBLE(0x1.c6b08d704a0cp-5,0x1c6b08d704a0cLL,-5), MAKE_HEX_DOUBLE(-0x1.d323200a05713p-59,-0x1d323200a05713LL,-59)},
-        {MAKE_HEX_DOUBLE(0x1.3b2ab6fba4e7ap-7,0x13b2ab6fba4e7aLL,-7), MAKE_HEX_DOUBLE(0x1.c5ee8f8b9f0c1p-63,0x1c5ee8f8b9f0c1LL,-63)},
-        {MAKE_HEX_DOUBLE(0x1.5d87fe78a672ap-10,0x15d87fe78a672aLL,-10), MAKE_HEX_DOUBLE(0x1.884e5e5cc7eccp-64,0x1884e5e5cc7eccLL,-64)},
-        {MAKE_HEX_DOUBLE(0x1.430912f7e8373p-13,0x1430912f7e8373LL,-13), MAKE_HEX_DOUBLE(0x1.4f1b59514a326p-67,0x14f1b59514a326LL,-67)},
-        {MAKE_HEX_DOUBLE(0x1.ffcbfc5985e71p-17,0x1ffcbfc5985e71LL,-17), MAKE_HEX_DOUBLE(-0x1.db7d6a0953b78p-71,-0x1db7d6a0953b78LL,-71)},
-        {MAKE_HEX_DOUBLE(0x1.62c150eb16465p-20,0x162c150eb16465LL,-20), MAKE_HEX_DOUBLE(0x1.e0767c2d7abf5p-80,0x1e0767c2d7abf5LL,-80)},
-        {MAKE_HEX_DOUBLE(0x1.b52502b5e953p-24,0x1b52502b5e953LL,-24), MAKE_HEX_DOUBLE(0x1.6797523f944bcp-78,0x16797523f944bcLL,-78)}
+        {HEX_DBL( +, 1, 62e42fefa39ef, -,  1 ), HEX_DBL( +, 1, abc9e3ac1d244, -, 56 )},
+        {HEX_DBL( +, 1, ebfbdff82c58f, -,  3 ), HEX_DBL( -, 1, 5e4987a631846, -, 57 )},
+        {HEX_DBL( +, 1, c6b08d704a0c,  -,  5 ), HEX_DBL( -, 1, d323200a05713, -, 59 )},
+        {HEX_DBL( +, 1, 3b2ab6fba4e7a, -,  7 ), HEX_DBL( +, 1, c5ee8f8b9f0c1, -, 63 )},
+        {HEX_DBL( +, 1, 5d87fe78a672a, -, 10 ), HEX_DBL( +, 1, 884e5e5cc7ecc, -, 64 )},
+        {HEX_DBL( +, 1, 430912f7e8373, -, 13 ), HEX_DBL( +, 1, 4f1b59514a326, -, 67 )},
+        {HEX_DBL( +, 1, ffcbfc5985e71, -, 17 ), HEX_DBL( -, 1, db7d6a0953b78, -, 71 )},
+        {HEX_DBL( +, 1, 62c150eb16465, -, 20 ), HEX_DBL( +, 1, e0767c2d7abf5, -, 80 )},
+        {HEX_DBL( +, 1, b52502b5e953,  -, 24 ), HEX_DBL( +, 1, 6797523f944bc, -, 78 )}
     };
     size_t count = sizeof( c ) / sizeof( c[0] );
 
@@ -2306,12 +2326,12 @@ long double reference_exp10l( long double z )
     // Handle a pesky overflow cases when long double = double
     if( i > 512 )
     {
-        m *=  MAKE_HEX_DOUBLE(0x1.0p512,0x1LL,512);
+        m *=  HEX_DBL( +, 1, 0, +, 512 );
         i -= 512;
     }
     else if( i < -512 )
     {
-        m *= MAKE_HEX_DOUBLE(0x1.0p-512,0x1LL,-512);
+        m *= HEX_DBL( +, 1, 0, -, 512 );
         i += 512;
     }
 
@@ -2371,13 +2391,13 @@ static inline int extract( double x, cl_ulong *mant )
     // verify that frexp works properly
     if( NULL == frexpp )
     {
-        if( 0.5 == frexp( MAKE_HEX_DOUBLE(0x1.0p-1030, 0x1LL, -1030), &e ) && e == -1029 )
+        if( 0.5 == frexp( HEX_DBL( +, 1, 0, -, 1030 ), &e ) && e == -1029 )
             frexpp = frexp;
         else
             frexpp = fallback_frexp;
     }
 
-    *mant = (cl_ulong) (MAKE_HEX_DOUBLE(0x1.0p64, 0x1LL, 64) * fabs( frexpp( x, &e )));
+    *mant = (cl_ulong) (HEX_DBL( +, 1, 0, +, 64 ) * fabs( frexpp( x, &e )));
     return e - 1;
 }
 
@@ -2420,7 +2440,7 @@ static double round_to_nearest_even_double( cl_ulong hi, cl_ulong lo, int expone
     // edges
     if( exponent > 1023 )        return INFINITY;
     if( exponent == -1075 && (hi | (lo!=0)) > 0x8000000000000000ULL )
-        return MAKE_HEX_DOUBLE(0x1.0p-1074, 0x1LL, -1074);
+        return HEX_DBL( +, 1, 0, -, 1074 );
     if( exponent <= -1075 )       return 0.0;
 
     //Figure out which bits go where
@@ -2764,7 +2784,7 @@ long double reference_tanpil( long double x)
     long double z = reference_fabsl(x);
 
     // if big and even  -- caution: only works if x only has single precision
-    if( z >= MAKE_HEX_LONG(0x1.0p53L, 0x1LL, 53) )
+    if( z >= HEX_LDBL( +, 1, 0, +, 53 ) )
     {
         if( z == INFINITY )
             return x - x;       // nan
@@ -2931,7 +2951,11 @@ int reference_isnormall( long double x){ return 0 != isnormal( (double) x ); }
 int reference_isnotequall( long double x, long double y){ return x != y; }
 int reference_isorderedl( long double x, long double y){ return x == x && y == y; }
 int reference_isunorderedl( long double x, long double y){ return isnan(x) || isnan( y ); }
+#if defined( __INTEL_COMPILER )
+int reference_signbitl( long double x){ return 0 != signbitl( x ); }
+#else
 int reference_signbitl( long double x){ return 0 != signbit( x ); }
+#endif
 
 long double reference_copysignl( long double x, long double y);
 long double reference_roundl( long double x );
@@ -2954,6 +2978,12 @@ long double reference_roundl( long double x )
 {
     // Since we are just using this to verify double precision, we can
     // use the double precision copysign here
+
+#if defined(__MINGW32__) && defined(__x86_64__)
+    long double absx = reference_fabsl(x);
+    if (absx < 0.5L)
+    return reference_copysignl(0.0L, x);
+#endif
     return round( (double) x );
 }
 
@@ -2968,8 +2998,8 @@ static long double reference_scalblnl(long double x, long n);
 
 long double reference_cbrtl(long double x)
 {
-    double yhi = MAKE_HEX_DOUBLE(0x1.5555555555555p-2,0x15555555555555LL,-2);
-    double ylo = MAKE_HEX_DOUBLE(0x1.558p-56,0x1558LL,-56);
+    double yhi = HEX_DBL( +, 1, 5555555555555, -, 2 );
+    double ylo = HEX_DBL( +, 1, 558, -, 56 );
 
     double fabsx = reference_fabs( x );
 
@@ -2992,7 +3022,7 @@ long double reference_cbrtl(long double x)
 
     long double powxy;
     if(isinf(ylog2x_hi) || (reference_fabs(ylog2x_hi) > 2200)) {
-        powxy = reference_signbit(ylog2x_hi) ? MAKE_HEX_DOUBLE(0x0p0, 0x0LL, 0) : INFINITY;
+        powxy = reference_signbit(ylog2x_hi) ? HEX_DBL( +, 0, 0, +, 0 ) : INFINITY;
     } else {
         // separate integer + fractional part
         long int m = lrint(ylog2x_hi);
@@ -3021,7 +3051,7 @@ long double scalbnl( long double x, int i )
     {
         while( i >= 1000 )
         {
-            x *= MAKE_HEX_LONG(0x1.0p1000L, 0x1LL, 1000);
+            x *= HEX_LDBL( +, 1, 0, +, 1000 );
             i -= 1000;
         }
 
@@ -3033,7 +3063,7 @@ long double scalbnl( long double x, int i )
     {
         while( i <= -1000 )
         {
-            x *= MAKE_HEX_LONG(0x1.0p-1000L, 0x1LL, -1000);
+            x *= HEX_LDBL( +, 1, 0, -, 1000 );
             i += 1000;
         }
 
@@ -3113,7 +3143,7 @@ long double reference_acoshl( long double x )
     if( x == 1.0L )
         return 0.0L;
 
-    if( x > MAKE_HEX_LONG(0x1.0p60L, 0x1LL, 60) )
+    if( x > HEX_LDBL( +, 1, 0, +, 60 ) )
         return reference_logl(x) + 0.693147180559945309417232121458176568L;
 
     if( x > 2.0L )
@@ -3126,8 +3156,8 @@ long double reference_acoshl( long double x )
     AddDD(&hi, &lo, hi, lo, x, 0.0);
     double correction = lo / hi;
     __log2_ep(&hi, &lo, hi);
-    double log2Hi = MAKE_HEX_DOUBLE(0x1.62e42fefa39efp-1,  0x162e42fefa39efLL, -53);
-    double log2Lo = MAKE_HEX_DOUBLE(0x1.abc9e3b39803fp-56, 0x1abc9e3b39803fLL, -108);
+    double log2Hi = HEX_DBL( +, 1, 62e42fefa39ef, -, 1 );
+    double log2Lo = HEX_DBL( +, 1, abc9e3b39803f, -, 56 );
     MulDD(&hi, &lo, hi, lo, log2Hi, log2Lo);
     AddDD(&hi, &lo, hi, lo, correction, 0.0);
 
@@ -3137,7 +3167,7 @@ long double reference_acoshl( long double x )
 long double reference_asinhl( long double x )
 {
     long double cutoff = 0.0L;
-    const long double ln2 = MAKE_HEX_LONG( 0xb.17217f7d1cf79abp-4L, 0xb17217f7d1cf79abLL, -64);
+    const long double ln2 = HEX_LDBL( +, b, 17217f7d1cf79ab, -, 4 );
 
     if( cutoff == 0.0L )
         cutoff = reference_ldexpl(1.0L, -LDBL_MANT_DIG);
@@ -3154,7 +3184,7 @@ long double reference_asinhl( long double x )
     if( absx <= 4.0/3.0 ) {
         return sign * reference_log1pl( absx + x*x / (1.0 + sqrtl(1.0 + x*x)));
     }
-    else if( absx <= MAKE_HEX_LONG(0x1.0p27L, 0x1LL, 27) ) {
+    else if( absx <= HEX_LDBL( +, 1, 0, +, 27 ) ) {
         return sign * reference_logl( 2.0L * absx + 1.0L / (sqrtl( x * x + 1.0 ) + absx));
     }
     else {
@@ -3226,23 +3256,23 @@ long double reference_exp2l(  long double z)
     // of x to [-1/32, 1/32] by subtracting away the nearest value of n/16 from x.
     const double_double corrections[17] =
     {
-        { MAKE_HEX_DOUBLE(0x1.6a09e667f3bcdp-1,0x16a09e667f3bcdLL,-1), MAKE_HEX_DOUBLE(-0x1.bdd3413b26456p-55,-0x1bdd3413b26456LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.7a11473eb0187p-1,0x17a11473eb0187LL,-1), MAKE_HEX_DOUBLE(-0x1.41577ee04992fp-56,-0x141577ee04992fLL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.8ace5422aa0dbp-1,0x18ace5422aa0dbLL,-1), MAKE_HEX_DOUBLE(0x1.6e9f156864b27p-55,0x16e9f156864b27LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.9c49182a3f09p-1,0x19c49182a3f09LL,-1), MAKE_HEX_DOUBLE(0x1.c7c46b071f2bep-57,0x1c7c46b071f2beLL,-57) },
-        { MAKE_HEX_DOUBLE(0x1.ae89f995ad3adp-1,0x1ae89f995ad3adLL,-1), MAKE_HEX_DOUBLE(0x1.7a1cd345dcc81p-55,0x17a1cd345dcc81LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.c199bdd85529cp-1,0x1c199bdd85529cLL,-1), MAKE_HEX_DOUBLE(0x1.11065895048ddp-56,0x111065895048ddLL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.d5818dcfba487p-1,0x1d5818dcfba487LL,-1), MAKE_HEX_DOUBLE(0x1.2ed02d75b3707p-56,0x12ed02d75b3707LL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.ea4afa2a490dap-1,0x1ea4afa2a490daLL,-1), MAKE_HEX_DOUBLE(-0x1.e9c23179c2893p-55,-0x1e9c23179c2893LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1p+0,0x1LL,0), MAKE_HEX_DOUBLE(0x0p+0,0x0LL,0) },
-        { MAKE_HEX_DOUBLE(0x1.0b5586cf9890fp+0,0x10b5586cf9890fLL,0), MAKE_HEX_DOUBLE(0x1.8a62e4adc610bp-54,0x18a62e4adc610bLL,-54) },
-        { MAKE_HEX_DOUBLE(0x1.172b83c7d517bp+0,0x1172b83c7d517bLL,0), MAKE_HEX_DOUBLE(-0x1.19041b9d78a76p-55,-0x119041b9d78a76LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.2387a6e756238p+0,0x12387a6e756238LL,0), MAKE_HEX_DOUBLE(0x1.9b07eb6c70573p-54,0x19b07eb6c70573LL,-54) },
-        { MAKE_HEX_DOUBLE(0x1.306fe0a31b715p+0,0x1306fe0a31b715LL,0), MAKE_HEX_DOUBLE(0x1.6f46ad23182e4p-55,0x16f46ad23182e4LL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.3dea64c123422p+0,0x13dea64c123422LL,0), MAKE_HEX_DOUBLE(0x1.ada0911f09ebcp-55,0x1ada0911f09ebcLL,-55) },
-        { MAKE_HEX_DOUBLE(0x1.4bfdad5362a27p+0,0x14bfdad5362a27LL,0), MAKE_HEX_DOUBLE(0x1.d4397afec42e2p-56,0x1d4397afec42e2LL,-56) },
-        { MAKE_HEX_DOUBLE(0x1.5ab07dd485429p+0,0x15ab07dd485429LL,0), MAKE_HEX_DOUBLE(0x1.6324c054647adp-54,0x16324c054647adLL,-54) },
-        { MAKE_HEX_DOUBLE(0x1.6a09e667f3bcdp+0,0x16a09e667f3bcdLL,0), MAKE_HEX_DOUBLE(-0x1.bdd3413b26456p-54,-0x1bdd3413b26456LL,-54) }
+        { HEX_DBL( +, 1, 6a09e667f3bcd, -, 1 ), HEX_DBL( -, 1, bdd3413b26456, -, 55 ) },
+        { HEX_DBL( +, 1, 7a11473eb0187, -, 1 ), HEX_DBL( -, 1, 41577ee04992f, -, 56 ) },
+        { HEX_DBL( +, 1, 8ace5422aa0db, -, 1 ), HEX_DBL( +, 1, 6e9f156864b27, -, 55 ) },
+        { HEX_DBL( +, 1, 9c49182a3f09,  -, 1 ), HEX_DBL( +, 1, c7c46b071f2be, -, 57 ) },
+        { HEX_DBL( +, 1, ae89f995ad3ad, -, 1 ), HEX_DBL( +, 1, 7a1cd345dcc81, -, 55 ) },
+        { HEX_DBL( +, 1, c199bdd85529c, -, 1 ), HEX_DBL( +, 1, 11065895048dd, -, 56 ) },
+        { HEX_DBL( +, 1, d5818dcfba487, -, 1 ), HEX_DBL( +, 1, 2ed02d75b3707, -, 56 ) },
+        { HEX_DBL( +, 1, ea4afa2a490da, -, 1 ), HEX_DBL( -, 1, e9c23179c2893, -, 55 ) },
+        { HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,             +,  0 ) },
+        { HEX_DBL( +, 1, 0b5586cf9890f, +, 0 ), HEX_DBL( +, 1, 8a62e4adc610b, -, 54 ) },
+        { HEX_DBL( +, 1, 172b83c7d517b, +, 0 ), HEX_DBL( -, 1, 19041b9d78a76, -, 55 ) },
+        { HEX_DBL( +, 1, 2387a6e756238, +, 0 ), HEX_DBL( +, 1, 9b07eb6c70573, -, 54 ) },
+        { HEX_DBL( +, 1, 306fe0a31b715, +, 0 ), HEX_DBL( +, 1, 6f46ad23182e4, -, 55 ) },
+        { HEX_DBL( +, 1, 3dea64c123422, +, 0 ), HEX_DBL( +, 1, ada0911f09ebc, -, 55 ) },
+        { HEX_DBL( +, 1, 4bfdad5362a27, +, 0 ), HEX_DBL( +, 1, d4397afec42e2, -, 56 ) },
+        { HEX_DBL( +, 1, 5ab07dd485429, +, 0 ), HEX_DBL( +, 1, 6324c054647ad, -, 54 ) },
+        { HEX_DBL( +, 1, 6a09e667f3bcd, +, 0 ), HEX_DBL( -, 1, bdd3413b26456, -, 54 ) }
     };
     int index = (int) rint( x.hi * 16.0 );
     x.hi -= (double) index * 0.0625;
@@ -3254,15 +3284,15 @@ long double reference_exp2l(  long double z)
 
     // Minimax polynomial for (exp2(x)-1)/x, over the range [-1/32, 1/32].  Max Error: 2 * 0x1.e112p-87
     const double_double c[] = {
-        {MAKE_HEX_DOUBLE(0x1.62e42fefa39efp-1,0x162e42fefa39efLL,-1), MAKE_HEX_DOUBLE(0x1.abc9e3ac1d244p-56,0x1abc9e3ac1d244LL,-56)},
-        {MAKE_HEX_DOUBLE(0x1.ebfbdff82c58fp-3,0x1ebfbdff82c58fLL,-3), MAKE_HEX_DOUBLE(-0x1.5e4987a631846p-57,-0x15e4987a631846LL,-57)},
-        {MAKE_HEX_DOUBLE(0x1.c6b08d704a0cp-5,0x1c6b08d704a0cLL,-5), MAKE_HEX_DOUBLE(-0x1.d323200a05713p-59,-0x1d323200a05713LL,-59)},
-        {MAKE_HEX_DOUBLE(0x1.3b2ab6fba4e7ap-7,0x13b2ab6fba4e7aLL,-7), MAKE_HEX_DOUBLE(0x1.c5ee8f8b9f0c1p-63,0x1c5ee8f8b9f0c1LL,-63)},
-        {MAKE_HEX_DOUBLE(0x1.5d87fe78a672ap-10,0x15d87fe78a672aLL,-10), MAKE_HEX_DOUBLE(0x1.884e5e5cc7eccp-64,0x1884e5e5cc7eccLL,-64)},
-        {MAKE_HEX_DOUBLE(0x1.430912f7e8373p-13,0x1430912f7e8373LL,-13), MAKE_HEX_DOUBLE(0x1.4f1b59514a326p-67,0x14f1b59514a326LL,-67)},
-        {MAKE_HEX_DOUBLE(0x1.ffcbfc5985e71p-17,0x1ffcbfc5985e71LL,-17), MAKE_HEX_DOUBLE(-0x1.db7d6a0953b78p-71,-0x1db7d6a0953b78LL,-71)},
-        {MAKE_HEX_DOUBLE(0x1.62c150eb16465p-20,0x162c150eb16465LL,-20), MAKE_HEX_DOUBLE(0x1.e0767c2d7abf5p-80,0x1e0767c2d7abf5LL,-80)},
-        {MAKE_HEX_DOUBLE(0x1.b52502b5e953p-24,0x1b52502b5e953LL,-24), MAKE_HEX_DOUBLE(0x1.6797523f944bcp-78,0x16797523f944bcLL,-78)}
+        {HEX_DBL( +, 1, 62e42fefa39ef, -,  1 ), HEX_DBL( +, 1, abc9e3ac1d244, -, 56 )},
+        {HEX_DBL( +, 1, ebfbdff82c58f, -,  3 ), HEX_DBL( -, 1, 5e4987a631846, -, 57 )},
+        {HEX_DBL( +, 1, c6b08d704a0c,  -,  5 ), HEX_DBL( -, 1, d323200a05713, -, 59 )},
+        {HEX_DBL( +, 1, 3b2ab6fba4e7a, -,  7 ), HEX_DBL( +, 1, c5ee8f8b9f0c1, -, 63 )},
+        {HEX_DBL( +, 1, 5d87fe78a672a, -, 10 ), HEX_DBL( +, 1, 884e5e5cc7ecc, -, 64 )},
+        {HEX_DBL( +, 1, 430912f7e8373, -, 13 ), HEX_DBL( +, 1, 4f1b59514a326, -, 67 )},
+        {HEX_DBL( +, 1, ffcbfc5985e71, -, 17 ), HEX_DBL( -, 1, db7d6a0953b78, -, 71 )},
+        {HEX_DBL( +, 1, 62c150eb16465, -, 20 ), HEX_DBL( +, 1, e0767c2d7abf5, -, 80 )},
+        {HEX_DBL( +, 1, b52502b5e953,  -, 24 ), HEX_DBL( +, 1, 6797523f944bc, -, 78 )}
     };
     size_t count = sizeof( c ) / sizeof( c[0] );
 
@@ -3287,12 +3317,12 @@ long double reference_exp2l(  long double z)
     // Handle a pesky overflow cases when long double = double
     if( i > 512 )
     {
-        m *= MAKE_HEX_DOUBLE(0x1.0p512,0x1LL,512);
+        m *= HEX_DBL( +, 1, 0, +, 512 );
         i -= 512;
     }
     else if( i < -512 )
     {
-        m *= MAKE_HEX_DOUBLE(0x1.0p-512,0x1LL,-512);
+        m *= HEX_DBL( +, 1, 0, -, 512 );
         i += 512;
     }
 
@@ -3301,7 +3331,7 @@ long double reference_exp2l(  long double z)
 
 long double reference_expm1l(  long double x)
 {
-#if defined( _MSC_VER )
+#if defined( _MSC_VER ) && ! defined( __INTEL_COMPILER )
     //unimplemented
     return x;
 #else
@@ -3343,12 +3373,12 @@ long double reference_fminl( long double x, long double y )
 
 long double reference_hypotl( long double x, long double y )
 {
-  static const double tobig = MAKE_HEX_DOUBLE( 0x1.0p511, 0x1LL, 511 );
-  static const double big = MAKE_HEX_DOUBLE( 0x1.0p513, 0x1LL, 513 );
-  static const double rbig = MAKE_HEX_DOUBLE( 0x1.0p-513, 0x1LL, -513 );
-  static const double tosmall = MAKE_HEX_DOUBLE( 0x1.0p-511, 0x1LL, -511);
-  static const double smalll = MAKE_HEX_DOUBLE( 0x1.0p-607, 0x1LL, -607);
-  static const double rsmall = MAKE_HEX_DOUBLE( 0x1.0p+607, 0x1LL, 607);
+  static const double tobig = HEX_DBL( +, 1, 0, +, 511 );
+  static const double big = HEX_DBL( +, 1, 0, +, 513 );
+  static const double rbig = HEX_DBL( +, 1, 0, -, 513 );
+  static const double tosmall = HEX_DBL( +, 1, 0, -, 511 );
+  static const double smalll = HEX_DBL( +, 1, 0, -, 607 );
+  static const double rsmall = HEX_DBL( +, 1, 0, +, 607 );
 
     long double max, min;
 
@@ -3404,7 +3434,7 @@ long double reference_log2l( long double x )
 
 long double reference_log1pl(  long double x)
 {
-#if defined( _MSC_VER )
+#if defined( _MSC_VER ) && ! defined( __INTEL_COMPILER )
     //unimplemented
     return x;
 #elif defined(__PPC__)
@@ -3429,7 +3459,7 @@ long double reference_logbl( long double x )
 
     if( exponent == 0 )
     {   // deal with denormals
-        u.f =  x * MAKE_HEX_DOUBLE(0x1.0p64, 0x1LL, 64);
+        u.f =  x * HEX_DBL( +, 1, 0, +, 64 );
         exponent = (cl_int)(u.u >> 52) & 0x7ff;
         if( exponent == 0 )
             return -INFINITY;
@@ -3876,7 +3906,7 @@ long double reference_sinl(long double xx)
     // we use system tanl after reduction which
     // can flush denorm input to zero so
     //take care of it here.
-    if(reference_fabsl(xx) < MAKE_HEX_DOUBLE(0x1.0p-1022,0x1LL,-1022))
+    if(reference_fabsl(xx) < HEX_DBL( +, 1, 0, -, 1022 ))
         return xx;
 
     double x = (double) xx;
@@ -3903,7 +3933,7 @@ long double reference_sincosl(long double xx, long double *y)
     // we use system tanl after reduction which
     // can flush denorm input to zero so
     //take care of it here.
-    if(reference_fabsl(xx) < MAKE_HEX_DOUBLE(0x1.0p-1022,0x1LL,-1022))
+    if(reference_fabsl(xx) < HEX_DBL( +, 1, 0, -, 1022 ))
     {
         *y = cosl(xx);
         return xx;
@@ -3939,7 +3969,7 @@ long double reference_tanl(long double xx)
     // we use system tanl after reduction which
     // can flush denorm input to zero so
     //take care of it here.
-    if(reference_fabsl(xx) < MAKE_HEX_DOUBLE(0x1.0p-1022,0x1LL,-1022))
+    if(reference_fabsl(xx) < HEX_DBL( +, 1, 0, -, 1022 ))
         return xx;
 
     double x = (double) xx;
@@ -3962,148 +3992,148 @@ long double reference_tanl(long double xx)
 }
 
 static double __loglTable1[64][3] = {
-{MAKE_HEX_DOUBLE(0x1.5390948f40feap+0, 0x15390948f40feaLL, -52), MAKE_HEX_DOUBLE(-0x1.a152f142ap-2, -0x1a152f142aLL, -38), MAKE_HEX_DOUBLE(0x1.f93e27b43bd2cp-40, 0x1f93e27b43bd2cLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.5015015015015p+0, 0x15015015015015LL, -52), MAKE_HEX_DOUBLE(-0x1.921800925p-2, -0x1921800925LL, -38), MAKE_HEX_DOUBLE(0x1.162432a1b8df7p-41, 0x1162432a1b8df7LL, -93)},
-{MAKE_HEX_DOUBLE(0x1.4cab88725af6ep+0, 0x14cab88725af6eLL, -52), MAKE_HEX_DOUBLE(-0x1.8304d90c18p-2, -0x18304d90c18LL, -42), MAKE_HEX_DOUBLE(0x1.80bb749056fe7p-40, 0x180bb749056fe7LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.49539e3b2d066p+0, 0x149539e3b2d066LL, -52), MAKE_HEX_DOUBLE(-0x1.7418acebcp-2, -0x17418acebcLL, -38), MAKE_HEX_DOUBLE(0x1.ceac7f0607711p-43, 0x1ceac7f0607711LL, -95)},
-{MAKE_HEX_DOUBLE(0x1.460cbc7f5cf9ap+0, 0x1460cbc7f5cf9aLL, -52), MAKE_HEX_DOUBLE(-0x1.6552b49988p-2, -0x16552b49988LL, -42), MAKE_HEX_DOUBLE(0x1.d8913d0e89fap-42, 0x1d8913d0e89faLL, -90)},
-{MAKE_HEX_DOUBLE(0x1.42d6625d51f86p+0, 0x142d6625d51f86LL, -52), MAKE_HEX_DOUBLE(-0x1.56b22e6b58p-2, -0x156b22e6b58LL, -42), MAKE_HEX_DOUBLE(0x1.c7eaf515033a1p-44, 0x1c7eaf515033a1LL, -96)},
-{MAKE_HEX_DOUBLE(0x1.3fb013fb013fbp+0, 0x13fb013fb013fbLL, -52), MAKE_HEX_DOUBLE(-0x1.48365e696p-2, -0x148365e696LL, -38), MAKE_HEX_DOUBLE(0x1.434adcde7edc7p-41, 0x1434adcde7edc7LL, -93)},
-{MAKE_HEX_DOUBLE(0x1.3c995a47babe7p+0, 0x13c995a47babe7LL, -52), MAKE_HEX_DOUBLE(-0x1.39de8e156p-2, -0x139de8e156LL, -38), MAKE_HEX_DOUBLE(0x1.8246f8e527754p-40, 0x18246f8e527754LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.3991c2c187f63p+0, 0x13991c2c187f63LL, -52), MAKE_HEX_DOUBLE(-0x1.2baa0c34cp-2, -0x12baa0c34cLL, -38), MAKE_HEX_DOUBLE(0x1.e1513c28e180dp-42, 0x1e1513c28e180dLL, -94)},
-{MAKE_HEX_DOUBLE(0x1.3698df3de0747p+0, 0x13698df3de0747LL, -52), MAKE_HEX_DOUBLE(-0x1.1d982c9d58p-2, -0x11d982c9d58LL, -42), MAKE_HEX_DOUBLE(0x1.63ea3fed4b8a2p-40, 0x163ea3fed4b8a2LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.33ae45b57bcb1p+0, 0x133ae45b57bcb1LL, -52), MAKE_HEX_DOUBLE(-0x1.0fa848045p-2, -0x10fa848045LL, -38), MAKE_HEX_DOUBLE(0x1.32ccbacf1779bp-40, 0x132ccbacf1779bLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.30d190130d19p+0, 0x130d190130d19LL, -48), MAKE_HEX_DOUBLE(-0x1.01d9bbcfa8p-2, -0x101d9bbcfa8LL, -42), MAKE_HEX_DOUBLE(0x1.e2bfeb2b884aap-42, 0x1e2bfeb2b884aaLL, -94)},
-{MAKE_HEX_DOUBLE(0x1.2e025c04b8097p+0, 0x12e025c04b8097LL, -52), MAKE_HEX_DOUBLE(-0x1.e857d3d37p-3, -0x1e857d3d37LL, -39), MAKE_HEX_DOUBLE(0x1.d9309b4d2ea85p-40, 0x1d9309b4d2ea85LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.2b404ad012b4p+0, 0x12b404ad012b4LL, -48), MAKE_HEX_DOUBLE(-0x1.cd3c712d4p-3, -0x1cd3c712d4LL, -39), MAKE_HEX_DOUBLE(0x1.ddf360962d7abp-40, 0x1ddf360962d7abLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.288b01288b012p+0, 0x1288b01288b012LL, -52), MAKE_HEX_DOUBLE(-0x1.b2602497ep-3, -0x1b2602497eLL, -39), MAKE_HEX_DOUBLE(0x1.597f8a121640fp-40, 0x1597f8a121640fLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.25e22708092f1p+0, 0x125e22708092f1LL, -52), MAKE_HEX_DOUBLE(-0x1.97c1cb13dp-3, -0x197c1cb13dLL, -39), MAKE_HEX_DOUBLE(0x1.02807d15580dcp-40, 0x102807d15580dcLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.23456789abcdfp+0, 0x123456789abcdfLL, -52), MAKE_HEX_DOUBLE(-0x1.7d60496dp-3, -0x17d60496dLL, -35), MAKE_HEX_DOUBLE(0x1.12ce913d7a827p-41, 0x112ce913d7a827LL, -93)},
-{MAKE_HEX_DOUBLE(0x1.20b470c67c0d8p+0, 0x120b470c67c0d8LL, -52), MAKE_HEX_DOUBLE(-0x1.633a8bf44p-3, -0x1633a8bf44LL, -39), MAKE_HEX_DOUBLE(0x1.0648bca9c96bdp-40, 0x10648bca9c96bdLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.1e2ef3b3fb874p+0, 0x11e2ef3b3fb874LL, -52), MAKE_HEX_DOUBLE(-0x1.494f863b9p-3, -0x1494f863b9LL, -39), MAKE_HEX_DOUBLE(0x1.066fceb89b0ebp-42, 0x1066fceb89b0ebLL, -94)},
-{MAKE_HEX_DOUBLE(0x1.1bb4a4046ed29p+0, 0x11bb4a4046ed29LL, -52), MAKE_HEX_DOUBLE(-0x1.2f9e32d5cp-3, -0x12f9e32d5cLL, -39), MAKE_HEX_DOUBLE(0x1.17b8b6c4f846bp-46, 0x117b8b6c4f846bLL, -98)},
-{MAKE_HEX_DOUBLE(0x1.19453808ca29cp+0, 0x119453808ca29cLL, -52), MAKE_HEX_DOUBLE(-0x1.162593187p-3, -0x1162593187LL, -39), MAKE_HEX_DOUBLE(0x1.2c83506452154p-42, 0x12c83506452154LL, -94)},
-{MAKE_HEX_DOUBLE(0x1.16e0689427378p+0, 0x116e0689427378LL, -52), MAKE_HEX_DOUBLE(-0x1.f9c95dc1ep-4, -0x1f9c95dc1eLL, -40), MAKE_HEX_DOUBLE(0x1.dd5d2183150f3p-41, 0x1dd5d2183150f3LL, -93)},
-{MAKE_HEX_DOUBLE(0x1.1485f0e0acd3bp+0, 0x11485f0e0acd3bLL, -52), MAKE_HEX_DOUBLE(-0x1.c7b528b72p-4, -0x1c7b528b72LL, -40), MAKE_HEX_DOUBLE(0x1.0e43c4f4e619dp-40, 0x10e43c4f4e619dLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.12358e75d3033p+0, 0x112358e75d3033LL, -52), MAKE_HEX_DOUBLE(-0x1.960caf9acp-4, -0x1960caf9acLL, -40), MAKE_HEX_DOUBLE(0x1.20fbfd5902a1ep-42, 0x120fbfd5902a1eLL, -94)},
-{MAKE_HEX_DOUBLE(0x1.0fef010fef01p+0, 0x10fef010fef01LL, -48), MAKE_HEX_DOUBLE(-0x1.64ce26c08p-4, -0x164ce26c08LL, -40), MAKE_HEX_DOUBLE(0x1.8ebeefb4ac467p-40, 0x18ebeefb4ac467LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.0db20a88f4695p+0, 0x10db20a88f4695LL, -52), MAKE_HEX_DOUBLE(-0x1.33f7cde16p-4, -0x133f7cde16LL, -40), MAKE_HEX_DOUBLE(0x1.30b3312da7a7dp-40, 0x130b3312da7a7dLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.0b7e6ec259dc7p+0, 0x10b7e6ec259dc7LL, -52), MAKE_HEX_DOUBLE(-0x1.0387efbccp-4, -0x10387efbccLL, -40), MAKE_HEX_DOUBLE(0x1.796f1632949c3p-40, 0x1796f1632949c3LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.0953f39010953p+0, 0x10953f39010953LL, -52), MAKE_HEX_DOUBLE(-0x1.a6f9c378p-5, -0x1a6f9c378LL, -37), MAKE_HEX_DOUBLE(0x1.1687e151172ccp-40, 0x11687e151172ccLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.073260a47f7c6p+0, 0x1073260a47f7c6LL, -52), MAKE_HEX_DOUBLE(-0x1.47aa07358p-5, -0x147aa07358LL, -41), MAKE_HEX_DOUBLE(0x1.1f87e4a9cc778p-42, 0x11f87e4a9cc778LL, -94)},
-{MAKE_HEX_DOUBLE(0x1.05197f7d73404p+0, 0x105197f7d73404LL, -52), MAKE_HEX_DOUBLE(-0x1.d23afc498p-6, -0x1d23afc498LL, -42), MAKE_HEX_DOUBLE(0x1.b183a6b628487p-40, 0x1b183a6b628487LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.03091b51f5e1ap+0, 0x103091b51f5e1aLL, -52), MAKE_HEX_DOUBLE(-0x1.16a21e21p-6, -0x116a21e21LL, -38), MAKE_HEX_DOUBLE(0x1.7d75c58973ce5p-40, 0x17d75c58973ce5LL, -92)},
-{MAKE_HEX_DOUBLE(0x1p+0, 0x1LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0)},
-{MAKE_HEX_DOUBLE(0x1p+0, 0x1LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0)},
-{MAKE_HEX_DOUBLE(0x1.f44659e4a4271p-1, 0x1f44659e4a4271LL, -53), MAKE_HEX_DOUBLE(0x1.11cd1d51p-5, 0x111cd1d51LL, -37), MAKE_HEX_DOUBLE(0x1.9a0d857e2f4b2p-40, 0x19a0d857e2f4b2LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.ecc07b301eccp-1, 0x1ecc07b301eccLL, -49), MAKE_HEX_DOUBLE(0x1.c4dfab908p-5, 0x1c4dfab908LL, -41), MAKE_HEX_DOUBLE(0x1.55b53fce557fdp-40, 0x155b53fce557fdLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.e573ac901e573p-1, 0x1e573ac901e573LL, -53), MAKE_HEX_DOUBLE(0x1.3aa2fdd26p-4, 0x13aa2fdd26LL, -40), MAKE_HEX_DOUBLE(0x1.f1cb0c9532089p-40, 0x1f1cb0c9532089LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.de5d6e3f8868ap-1, 0x1de5d6e3f8868aLL, -53), MAKE_HEX_DOUBLE(0x1.918a16e46p-4, 0x1918a16e46LL, -40), MAKE_HEX_DOUBLE(0x1.9af0dcd65a6e1p-43, 0x19af0dcd65a6e1LL, -95)},
-{MAKE_HEX_DOUBLE(0x1.d77b654b82c33p-1, 0x1d77b654b82c33LL, -53), MAKE_HEX_DOUBLE(0x1.e72ec117ep-4, 0x1e72ec117eLL, -40), MAKE_HEX_DOUBLE(0x1.a5b93c4ebe124p-40, 0x1a5b93c4ebe124LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.d0cb58f6ec074p-1, 0x1d0cb58f6ec074LL, -53), MAKE_HEX_DOUBLE(0x1.1dcd19755p-3, 0x11dcd19755LL, -39), MAKE_HEX_DOUBLE(0x1.5be50e71ddc6cp-42, 0x15be50e71ddc6cLL, -94)},
-{MAKE_HEX_DOUBLE(0x1.ca4b3055ee191p-1, 0x1ca4b3055ee191LL, -53), MAKE_HEX_DOUBLE(0x1.476a9f983p-3, 0x1476a9f983LL, -39), MAKE_HEX_DOUBLE(0x1.ee9a798719e7fp-40, 0x1ee9a798719e7fLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.c3f8f01c3f8fp-1, 0x1c3f8f01c3f8fLL, -49), MAKE_HEX_DOUBLE(0x1.70742d4efp-3, 0x170742d4efLL, -39), MAKE_HEX_DOUBLE(0x1.3ff1352c1219cp-46, 0x13ff1352c1219cLL, -98)},
-{MAKE_HEX_DOUBLE(0x1.bdd2b899406f7p-1, 0x1bdd2b899406f7LL, -53), MAKE_HEX_DOUBLE(0x1.98edd077ep-3, 0x198edd077eLL, -39), MAKE_HEX_DOUBLE(0x1.c383cd11362f4p-41, 0x1c383cd11362f4LL, -93)},
-{MAKE_HEX_DOUBLE(0x1.b7d6c3dda338bp-1, 0x1b7d6c3dda338bLL, -53), MAKE_HEX_DOUBLE(0x1.c0db6cdd9p-3, 0x1c0db6cdd9LL, -39), MAKE_HEX_DOUBLE(0x1.37bd85b1a824ep-41, 0x137bd85b1a824eLL, -93)},
-{MAKE_HEX_DOUBLE(0x1.b2036406c80d9p-1, 0x1b2036406c80d9LL, -53), MAKE_HEX_DOUBLE(0x1.e840be74ep-3, 0x1e840be74eLL, -39), MAKE_HEX_DOUBLE(0x1.a9334d525e1ecp-41, 0x1a9334d525e1ecLL, -93)},
-{MAKE_HEX_DOUBLE(0x1.ac5701ac5701ap-1, 0x1ac5701ac5701aLL, -53), MAKE_HEX_DOUBLE(0x1.0790adbbp-2, 0x10790adbbLL, -34), MAKE_HEX_DOUBLE(0x1.8060bfb6a491p-41, 0x18060bfb6a491LL, -89)},
-{MAKE_HEX_DOUBLE(0x1.a6d01a6d01a6dp-1, 0x1a6d01a6d01a6dLL, -53), MAKE_HEX_DOUBLE(0x1.1ac05b2918p-2, 0x11ac05b2918LL, -42), MAKE_HEX_DOUBLE(0x1.c1c161471580ap-40, 0x1c1c161471580aLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.a16d3f97a4b01p-1, 0x1a16d3f97a4b01LL, -53), MAKE_HEX_DOUBLE(0x1.2db10fc4d8p-2, 0x12db10fc4d8LL, -42), MAKE_HEX_DOUBLE(0x1.ab1aa62214581p-42, 0x1ab1aa62214581LL, -94)},
-{MAKE_HEX_DOUBLE(0x1.9c2d14ee4a101p-1, 0x19c2d14ee4a101LL, -53), MAKE_HEX_DOUBLE(0x1.406463b1bp-2, 0x1406463b1bLL, -38), MAKE_HEX_DOUBLE(0x1.12e95dbda6611p-44, 0x112e95dbda6611LL, -96)},
-{MAKE_HEX_DOUBLE(0x1.970e4f80cb872p-1, 0x1970e4f80cb872LL, -53), MAKE_HEX_DOUBLE(0x1.52dbdfc4c8p-2, 0x152dbdfc4c8LL, -42), MAKE_HEX_DOUBLE(0x1.6b53fee511afp-42, 0x16b53fee511afLL, -90)},
-{MAKE_HEX_DOUBLE(0x1.920fb49d0e228p-1, 0x1920fb49d0e228LL, -53), MAKE_HEX_DOUBLE(0x1.6518fe467p-2, 0x16518fe467LL, -38), MAKE_HEX_DOUBLE(0x1.eea7d7d7d1764p-40, 0x1eea7d7d7d1764LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.8d3018d3018d3p-1, 0x18d3018d3018d3LL, -53), MAKE_HEX_DOUBLE(0x1.771d2ba7e8p-2, 0x1771d2ba7e8LL, -42), MAKE_HEX_DOUBLE(0x1.ecefa8d4fab97p-40, 0x1ecefa8d4fab97LL, -92)},
-{MAKE_HEX_DOUBLE(0x1.886e5f0abb049p-1, 0x1886e5f0abb049LL, -53), MAKE_HEX_DOUBLE(0x1.88e9c72e08p-2, 0x188e9c72e08LL, -42), MAKE_HEX_DOUBLE(0x1.913ea3d33fd14p-41, 0x1913ea3d33fd14LL, -93)},
-{MAKE_HEX_DOUBLE(0x1.83c977ab2beddp-1, 0x183c977ab2beddLL, -53), MAKE_HEX_DOUBLE(0x1.9a802391ep-2, 0x19a802391eLL, -38), MAKE_HEX_DOUBLE(0x1.197e845877c94p-41, 0x1197e845877c94LL, -93)},
-{MAKE_HEX_DOUBLE(0x1.7f405fd017f4p-1, 0x17f405fd017f4LL, -49), MAKE_HEX_DOUBLE(0x1.abe18797fp-2, 0x1abe18797fLL, -38), MAKE_HEX_DOUBLE(0x1.f4a52f8e8a81p-42, 0x1f4a52f8e8a81LL, -90)},
-{MAKE_HEX_DOUBLE(0x1.7ad2208e0ecc3p-1, 0x17ad2208e0ecc3LL, -53), MAKE_HEX_DOUBLE(0x1.bd0f2e9e78p-2, 0x1bd0f2e9e78LL, -42), MAKE_HEX_DOUBLE(0x1.031f4336644ccp-42, 0x1031f4336644ccLL, -94)},
-{MAKE_HEX_DOUBLE(0x1.767dce434a9b1p-1, 0x1767dce434a9b1LL, -53), MAKE_HEX_DOUBLE(0x1.ce0a4923ap-2, 0x1ce0a4923aLL, -38), MAKE_HEX_DOUBLE(0x1.61f33c897020cp-40, 0x161f33c897020cLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.724287f46debcp-1, 0x1724287f46debcLL, -53), MAKE_HEX_DOUBLE(0x1.ded3fd442p-2, 0x1ded3fd442LL, -38), MAKE_HEX_DOUBLE(0x1.b2632e830632p-41, 0x1b2632e830632LL, -89)},
-{MAKE_HEX_DOUBLE(0x1.6e1f76b4337c6p-1, 0x16e1f76b4337c6LL, -53), MAKE_HEX_DOUBLE(0x1.ef6d673288p-2, 0x1ef6d673288LL, -42), MAKE_HEX_DOUBLE(0x1.888ec245a0bfp-40, 0x1888ec245a0bfLL, -88)},
-{MAKE_HEX_DOUBLE(0x1.6a13cd153729p-1, 0x16a13cd153729LL, -49), MAKE_HEX_DOUBLE(0x1.ffd799a838p-2, 0x1ffd799a838LL, -42), MAKE_HEX_DOUBLE(0x1.fe6f3b2f5fc8ep-40, 0x1fe6f3b2f5fc8eLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.661ec6a5122f9p-1, 0x1661ec6a5122f9LL, -53), MAKE_HEX_DOUBLE(0x1.0809cf27f4p-1, 0x10809cf27f4LL, -41), MAKE_HEX_DOUBLE(0x1.81eaa9ef284ddp-40, 0x181eaa9ef284ddLL, -92)},
-{MAKE_HEX_DOUBLE(0x1.623fa7701623fp-1, 0x1623fa7701623fLL, -53), MAKE_HEX_DOUBLE(0x1.10113b153cp-1, 0x110113b153cLL, -41), MAKE_HEX_DOUBLE(0x1.1d7b07d6b1143p-42, 0x11d7b07d6b1143LL, -94)},
-{MAKE_HEX_DOUBLE(0x1.5e75bb8d015e7p-1, 0x15e75bb8d015e7LL, -53), MAKE_HEX_DOUBLE(0x1.18028cf728p-1, 0x118028cf728LL, -41), MAKE_HEX_DOUBLE(0x1.76b100b1f6c6p-41, 0x176b100b1f6c6LL, -89)},
-{MAKE_HEX_DOUBLE(0x1.5ac056b015acp-1, 0x15ac056b015acLL, -49), MAKE_HEX_DOUBLE(0x1.1fde3d30e8p-1, 0x11fde3d30e8LL, -41), MAKE_HEX_DOUBLE(0x1.26faeb9870945p-45, 0x126faeb9870945LL, -97)},
-{MAKE_HEX_DOUBLE(0x1.571ed3c506b39p-1, 0x1571ed3c506b39LL, -53), MAKE_HEX_DOUBLE(0x1.27a4c0585cp-1, 0x127a4c0585cLL, -41), MAKE_HEX_DOUBLE(0x1.7f2c5344d762bp-42, 0x17f2c5344d762bLL, -94)}
+{HEX_DBL( +, 1, 5390948f40fea, +, 0 ), HEX_DBL( -, 1, a152f142a,  -, 2 ), HEX_DBL( +, 1, f93e27b43bd2c, -, 40 )},
+{HEX_DBL( +, 1, 5015015015015, +, 0 ), HEX_DBL( -, 1, 921800925,  -, 2 ), HEX_DBL( +, 1, 162432a1b8df7, -, 41 )},
+{HEX_DBL( +, 1, 4cab88725af6e, +, 0 ), HEX_DBL( -, 1, 8304d90c18, -, 2 ), HEX_DBL( +, 1, 80bb749056fe7, -, 40 )},
+{HEX_DBL( +, 1, 49539e3b2d066, +, 0 ), HEX_DBL( -, 1, 7418acebc,  -, 2 ), HEX_DBL( +, 1, ceac7f0607711, -, 43 )},
+{HEX_DBL( +, 1, 460cbc7f5cf9a, +, 0 ), HEX_DBL( -, 1, 6552b49988, -, 2 ), HEX_DBL( +, 1, d8913d0e89fa,  -, 42 )},
+{HEX_DBL( +, 1, 42d6625d51f86, +, 0 ), HEX_DBL( -, 1, 56b22e6b58, -, 2 ), HEX_DBL( +, 1, c7eaf515033a1, -, 44 )},
+{HEX_DBL( +, 1, 3fb013fb013fb, +, 0 ), HEX_DBL( -, 1, 48365e696,  -, 2 ), HEX_DBL( +, 1, 434adcde7edc7, -, 41 )},
+{HEX_DBL( +, 1, 3c995a47babe7, +, 0 ), HEX_DBL( -, 1, 39de8e156,  -, 2 ), HEX_DBL( +, 1, 8246f8e527754, -, 40 )},
+{HEX_DBL( +, 1, 3991c2c187f63, +, 0 ), HEX_DBL( -, 1, 2baa0c34c,  -, 2 ), HEX_DBL( +, 1, e1513c28e180d, -, 42 )},
+{HEX_DBL( +, 1, 3698df3de0747, +, 0 ), HEX_DBL( -, 1, 1d982c9d58, -, 2 ), HEX_DBL( +, 1, 63ea3fed4b8a2, -, 40 )},
+{HEX_DBL( +, 1, 33ae45b57bcb1, +, 0 ), HEX_DBL( -, 1, 0fa848045,  -, 2 ), HEX_DBL( +, 1, 32ccbacf1779b, -, 40 )},
+{HEX_DBL( +, 1, 30d190130d19,  +, 0 ), HEX_DBL( -, 1, 01d9bbcfa8, -, 2 ), HEX_DBL( +, 1, e2bfeb2b884aa, -, 42 )},
+{HEX_DBL( +, 1, 2e025c04b8097, +, 0 ), HEX_DBL( -, 1, e857d3d37,  -, 3 ), HEX_DBL( +, 1, d9309b4d2ea85, -, 40 )},
+{HEX_DBL( +, 1, 2b404ad012b4,  +, 0 ), HEX_DBL( -, 1, cd3c712d4,  -, 3 ), HEX_DBL( +, 1, ddf360962d7ab, -, 40 )},
+{HEX_DBL( +, 1, 288b01288b012, +, 0 ), HEX_DBL( -, 1, b2602497e,  -, 3 ), HEX_DBL( +, 1, 597f8a121640f, -, 40 )},
+{HEX_DBL( +, 1, 25e22708092f1, +, 0 ), HEX_DBL( -, 1, 97c1cb13d,  -, 3 ), HEX_DBL( +, 1, 02807d15580dc, -, 40 )},
+{HEX_DBL( +, 1, 23456789abcdf, +, 0 ), HEX_DBL( -, 1, 7d60496d,   -, 3 ), HEX_DBL( +, 1, 12ce913d7a827, -, 41 )},
+{HEX_DBL( +, 1, 20b470c67c0d8, +, 0 ), HEX_DBL( -, 1, 633a8bf44,  -, 3 ), HEX_DBL( +, 1, 0648bca9c96bd, -, 40 )},
+{HEX_DBL( +, 1, 1e2ef3b3fb874, +, 0 ), HEX_DBL( -, 1, 494f863b9,  -, 3 ), HEX_DBL( +, 1, 066fceb89b0eb, -, 42 )},
+{HEX_DBL( +, 1, 1bb4a4046ed29, +, 0 ), HEX_DBL( -, 1, 2f9e32d5c,  -, 3 ), HEX_DBL( +, 1, 17b8b6c4f846b, -, 46 )},
+{HEX_DBL( +, 1, 19453808ca29c, +, 0 ), HEX_DBL( -, 1, 162593187,  -, 3 ), HEX_DBL( +, 1, 2c83506452154, -, 42 )},
+{HEX_DBL( +, 1, 16e0689427378, +, 0 ), HEX_DBL( -, 1, f9c95dc1e,  -, 4 ), HEX_DBL( +, 1, dd5d2183150f3, -, 41 )},
+{HEX_DBL( +, 1, 1485f0e0acd3b, +, 0 ), HEX_DBL( -, 1, c7b528b72,  -, 4 ), HEX_DBL( +, 1, 0e43c4f4e619d, -, 40 )},
+{HEX_DBL( +, 1, 12358e75d3033, +, 0 ), HEX_DBL( -, 1, 960caf9ac,  -, 4 ), HEX_DBL( +, 1, 20fbfd5902a1e, -, 42 )},
+{HEX_DBL( +, 1, 0fef010fef01,  +, 0 ), HEX_DBL( -, 1, 64ce26c08,  -, 4 ), HEX_DBL( +, 1, 8ebeefb4ac467, -, 40 )},
+{HEX_DBL( +, 1, 0db20a88f4695, +, 0 ), HEX_DBL( -, 1, 33f7cde16,  -, 4 ), HEX_DBL( +, 1, 30b3312da7a7d, -, 40 )},
+{HEX_DBL( +, 1, 0b7e6ec259dc7, +, 0 ), HEX_DBL( -, 1, 0387efbcc,  -, 4 ), HEX_DBL( +, 1, 796f1632949c3, -, 40 )},
+{HEX_DBL( +, 1, 0953f39010953, +, 0 ), HEX_DBL( -, 1, a6f9c378,   -, 5 ), HEX_DBL( +, 1, 1687e151172cc, -, 40 )},
+{HEX_DBL( +, 1, 073260a47f7c6, +, 0 ), HEX_DBL( -, 1, 47aa07358,  -, 5 ), HEX_DBL( +, 1, 1f87e4a9cc778, -, 42 )},
+{HEX_DBL( +, 1, 05197f7d73404, +, 0 ), HEX_DBL( -, 1, d23afc498,  -, 6 ), HEX_DBL( +, 1, b183a6b628487, -, 40 )},
+{HEX_DBL( +, 1, 03091b51f5e1a, +, 0 ), HEX_DBL( -, 1, 16a21e21,   -, 6 ), HEX_DBL( +, 1, 7d75c58973ce5, -, 40 )},
+{HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,          +, 0 ), HEX_DBL( +, 0, 0,             +,  0 )},
+{HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,          +, 0 ), HEX_DBL( +, 0, 0,             +,  0 )},
+{HEX_DBL( +, 1, f44659e4a4271, -, 1 ), HEX_DBL( +, 1, 11cd1d51,   -, 5 ), HEX_DBL( +, 1, 9a0d857e2f4b2, -, 40 )},
+{HEX_DBL( +, 1, ecc07b301ecc,  -, 1 ), HEX_DBL( +, 1, c4dfab908,  -, 5 ), HEX_DBL( +, 1, 55b53fce557fd, -, 40 )},
+{HEX_DBL( +, 1, e573ac901e573, -, 1 ), HEX_DBL( +, 1, 3aa2fdd26,  -, 4 ), HEX_DBL( +, 1, f1cb0c9532089, -, 40 )},
+{HEX_DBL( +, 1, de5d6e3f8868a, -, 1 ), HEX_DBL( +, 1, 918a16e46,  -, 4 ), HEX_DBL( +, 1, 9af0dcd65a6e1, -, 43 )},
+{HEX_DBL( +, 1, d77b654b82c33, -, 1 ), HEX_DBL( +, 1, e72ec117e,  -, 4 ), HEX_DBL( +, 1, a5b93c4ebe124, -, 40 )},
+{HEX_DBL( +, 1, d0cb58f6ec074, -, 1 ), HEX_DBL( +, 1, 1dcd19755,  -, 3 ), HEX_DBL( +, 1, 5be50e71ddc6c, -, 42 )},
+{HEX_DBL( +, 1, ca4b3055ee191, -, 1 ), HEX_DBL( +, 1, 476a9f983,  -, 3 ), HEX_DBL( +, 1, ee9a798719e7f, -, 40 )},
+{HEX_DBL( +, 1, c3f8f01c3f8f,  -, 1 ), HEX_DBL( +, 1, 70742d4ef,  -, 3 ), HEX_DBL( +, 1, 3ff1352c1219c, -, 46 )},
+{HEX_DBL( +, 1, bdd2b899406f7, -, 1 ), HEX_DBL( +, 1, 98edd077e,  -, 3 ), HEX_DBL( +, 1, c383cd11362f4, -, 41 )},
+{HEX_DBL( +, 1, b7d6c3dda338b, -, 1 ), HEX_DBL( +, 1, c0db6cdd9,  -, 3 ), HEX_DBL( +, 1, 37bd85b1a824e, -, 41 )},
+{HEX_DBL( +, 1, b2036406c80d9, -, 1 ), HEX_DBL( +, 1, e840be74e,  -, 3 ), HEX_DBL( +, 1, a9334d525e1ec, -, 41 )},
+{HEX_DBL( +, 1, ac5701ac5701a, -, 1 ), HEX_DBL( +, 1, 0790adbb,   -, 2 ), HEX_DBL( +, 1, 8060bfb6a491,  -, 41 )},
+{HEX_DBL( +, 1, a6d01a6d01a6d, -, 1 ), HEX_DBL( +, 1, 1ac05b2918, -, 2 ), HEX_DBL( +, 1, c1c161471580a, -, 40 )},
+{HEX_DBL( +, 1, a16d3f97a4b01, -, 1 ), HEX_DBL( +, 1, 2db10fc4d8, -, 2 ), HEX_DBL( +, 1, ab1aa62214581, -, 42 )},
+{HEX_DBL( +, 1, 9c2d14ee4a101, -, 1 ), HEX_DBL( +, 1, 406463b1b,  -, 2 ), HEX_DBL( +, 1, 12e95dbda6611, -, 44 )},
+{HEX_DBL( +, 1, 970e4f80cb872, -, 1 ), HEX_DBL( +, 1, 52dbdfc4c8, -, 2 ), HEX_DBL( +, 1, 6b53fee511af,  -, 42 )},
+{HEX_DBL( +, 1, 920fb49d0e228, -, 1 ), HEX_DBL( +, 1, 6518fe467,  -, 2 ), HEX_DBL( +, 1, eea7d7d7d1764, -, 40 )},
+{HEX_DBL( +, 1, 8d3018d3018d3, -, 1 ), HEX_DBL( +, 1, 771d2ba7e8, -, 2 ), HEX_DBL( +, 1, ecefa8d4fab97, -, 40 )},
+{HEX_DBL( +, 1, 886e5f0abb049, -, 1 ), HEX_DBL( +, 1, 88e9c72e08, -, 2 ), HEX_DBL( +, 1, 913ea3d33fd14, -, 41 )},
+{HEX_DBL( +, 1, 83c977ab2bedd, -, 1 ), HEX_DBL( +, 1, 9a802391e,  -, 2 ), HEX_DBL( +, 1, 197e845877c94, -, 41 )},
+{HEX_DBL( +, 1, 7f405fd017f4,  -, 1 ), HEX_DBL( +, 1, abe18797f,  -, 2 ), HEX_DBL( +, 1, f4a52f8e8a81,  -, 42 )},
+{HEX_DBL( +, 1, 7ad2208e0ecc3, -, 1 ), HEX_DBL( +, 1, bd0f2e9e78, -, 2 ), HEX_DBL( +, 1, 031f4336644cc, -, 42 )},
+{HEX_DBL( +, 1, 767dce434a9b1, -, 1 ), HEX_DBL( +, 1, ce0a4923a,  -, 2 ), HEX_DBL( +, 1, 61f33c897020c, -, 40 )},
+{HEX_DBL( +, 1, 724287f46debc, -, 1 ), HEX_DBL( +, 1, ded3fd442,  -, 2 ), HEX_DBL( +, 1, b2632e830632,  -, 41 )},
+{HEX_DBL( +, 1, 6e1f76b4337c6, -, 1 ), HEX_DBL( +, 1, ef6d673288, -, 2 ), HEX_DBL( +, 1, 888ec245a0bf,  -, 40 )},
+{HEX_DBL( +, 1, 6a13cd153729,  -, 1 ), HEX_DBL( +, 1, ffd799a838, -, 2 ), HEX_DBL( +, 1, fe6f3b2f5fc8e, -, 40 )},
+{HEX_DBL( +, 1, 661ec6a5122f9, -, 1 ), HEX_DBL( +, 1, 0809cf27f4, -, 1 ), HEX_DBL( +, 1, 81eaa9ef284dd, -, 40 )},
+{HEX_DBL( +, 1, 623fa7701623f, -, 1 ), HEX_DBL( +, 1, 10113b153c, -, 1 ), HEX_DBL( +, 1, 1d7b07d6b1143, -, 42 )},
+{HEX_DBL( +, 1, 5e75bb8d015e7, -, 1 ), HEX_DBL( +, 1, 18028cf728, -, 1 ), HEX_DBL( +, 1, 76b100b1f6c6,  -, 41 )},
+{HEX_DBL( +, 1, 5ac056b015ac,  -, 1 ), HEX_DBL( +, 1, 1fde3d30e8, -, 1 ), HEX_DBL( +, 1, 26faeb9870945, -, 45 )},
+{HEX_DBL( +, 1, 571ed3c506b39, -, 1 ), HEX_DBL( +, 1, 27a4c0585c, -, 1 ), HEX_DBL( +, 1, 7f2c5344d762b, -, 42 )}
 };
 
 static double __loglTable2[64][3] = {
-{MAKE_HEX_DOUBLE(0x1.01fbe7f0a1be6p+0, 0x101fbe7f0a1be6LL, -52), MAKE_HEX_DOUBLE(-0x1.6cf6ddd26112ap-7, -0x16cf6ddd26112aLL, -59), MAKE_HEX_DOUBLE(0x1.0725e5755e314p-60, 0x10725e5755e314LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.01eba93a97b12p+0, 0x101eba93a97b12LL, -52), MAKE_HEX_DOUBLE(-0x1.6155b1d99f603p-7, -0x16155b1d99f603LL, -59), MAKE_HEX_DOUBLE(0x1.4bcea073117f4p-60, 0x14bcea073117f4LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.01db6c9029cd1p+0, 0x101db6c9029cd1LL, -52), MAKE_HEX_DOUBLE(-0x1.55b54153137ffp-7, -0x155b54153137ffLL, -59), MAKE_HEX_DOUBLE(0x1.21e8faccad0ecp-61, 0x121e8faccad0ecLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.01cb31f0f534cp+0, 0x101cb31f0f534cLL, -52), MAKE_HEX_DOUBLE(-0x1.4a158c27245bdp-7, -0x14a158c27245bdLL, -59), MAKE_HEX_DOUBLE(0x1.1a5b7bfbf35d3p-60, 0x11a5b7bfbf35d3LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.01baf95c9723cp+0, 0x101baf95c9723cLL, -52), MAKE_HEX_DOUBLE(-0x1.3e76923e3d678p-7, -0x13e76923e3d678LL, -59), MAKE_HEX_DOUBLE(0x1.eee400eb5fe34p-62, 0x1eee400eb5fe34LL, -114)},
-{MAKE_HEX_DOUBLE(0x1.01aac2d2acee6p+0, 0x101aac2d2acee6LL, -52), MAKE_HEX_DOUBLE(-0x1.32d85380ce776p-7, -0x132d85380ce776LL, -59), MAKE_HEX_DOUBLE(0x1.cbf7a513937bdp-61, 0x1cbf7a513937bdLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.019a8e52d401ep+0, 0x1019a8e52d401eLL, -52), MAKE_HEX_DOUBLE(-0x1.273acfd74be72p-7, -0x1273acfd74be72LL, -59), MAKE_HEX_DOUBLE(0x1.5c64599efa5e6p-60, 0x15c64599efa5e6LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.018a5bdca9e42p+0, 0x1018a5bdca9e42LL, -52), MAKE_HEX_DOUBLE(-0x1.1b9e072a2e65p-7, -0x11b9e072a2e65LL, -55), MAKE_HEX_DOUBLE(0x1.364180e0a5d37p-60, 0x1364180e0a5d37LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.017a2b6fcc33ep+0, 0x1017a2b6fcc33eLL, -52), MAKE_HEX_DOUBLE(-0x1.1001f961f3243p-7, -0x11001f961f3243LL, -59), MAKE_HEX_DOUBLE(0x1.63d795746f216p-60, 0x163d795746f216LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.0169fd0bd8a8ap+0, 0x10169fd0bd8a8aLL, -52), MAKE_HEX_DOUBLE(-0x1.0466a6671bca4p-7, -0x10466a6671bca4LL, -59), MAKE_HEX_DOUBLE(0x1.4c99ff1907435p-60, 0x14c99ff1907435LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.0159d0b06d129p+0, 0x10159d0b06d129LL, -52), MAKE_HEX_DOUBLE(-0x1.f1981c445cd05p-8, -0x1f1981c445cd05LL, -60), MAKE_HEX_DOUBLE(0x1.4bfff6366b723p-62, 0x14bfff6366b723LL, -114)},
-{MAKE_HEX_DOUBLE(0x1.0149a65d275a6p+0, 0x10149a65d275a6LL, -52), MAKE_HEX_DOUBLE(-0x1.da6460f76ab8cp-8, -0x1da6460f76ab8cLL, -60), MAKE_HEX_DOUBLE(0x1.9c5404f47589cp-61, 0x19c5404f47589cLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.01397e11a581bp+0, 0x101397e11a581bLL, -52), MAKE_HEX_DOUBLE(-0x1.c3321ab87f4efp-8, -0x1c3321ab87f4efLL, -60), MAKE_HEX_DOUBLE(0x1.c0da537429ceap-61, 0x1c0da537429ceaLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.012957cd85a28p+0, 0x1012957cd85a28LL, -52), MAKE_HEX_DOUBLE(-0x1.ac014958c112cp-8, -0x1ac014958c112cLL, -60), MAKE_HEX_DOUBLE(0x1.000c2a1b595e3p-64, 0x1000c2a1b595e3LL, -116)},
-{MAKE_HEX_DOUBLE(0x1.0119339065ef7p+0, 0x10119339065ef7LL, -52), MAKE_HEX_DOUBLE(-0x1.94d1eca95f67ap-8, -0x194d1eca95f67aLL, -60), MAKE_HEX_DOUBLE(0x1.d8d20b0564d5p-61, 0x1d8d20b0564d5LL, -109)},
-{MAKE_HEX_DOUBLE(0x1.01091159e4b3dp+0, 0x101091159e4b3dLL, -52), MAKE_HEX_DOUBLE(-0x1.7da4047b92b3ep-8, -0x17da4047b92b3eLL, -60), MAKE_HEX_DOUBLE(0x1.6194a5d68cf2p-66, 0x16194a5d68cf2LL, -114)},
-{MAKE_HEX_DOUBLE(0x1.00f8f129a0535p+0, 0x100f8f129a0535LL, -52), MAKE_HEX_DOUBLE(-0x1.667790a09bf77p-8, -0x1667790a09bf77LL, -60), MAKE_HEX_DOUBLE(0x1.ca230e0bea645p-61, 0x1ca230e0bea645LL, -113)},
-{MAKE_HEX_DOUBLE(0x1.00e8d2ff374a1p+0, 0x100e8d2ff374a1LL, -52), MAKE_HEX_DOUBLE(-0x1.4f4c90e9c4eadp-8, -0x14f4c90e9c4eadLL, -60), MAKE_HEX_DOUBLE(0x1.1de3e7f350c1p-61, 0x11de3e7f350c1LL, -109)},
-{MAKE_HEX_DOUBLE(0x1.00d8b6da482cep+0, 0x100d8b6da482ceLL, -52), MAKE_HEX_DOUBLE(-0x1.3823052860649p-8, -0x13823052860649LL, -60), MAKE_HEX_DOUBLE(0x1.5789b4c5891b8p-64, 0x15789b4c5891b8LL, -116)},
-{MAKE_HEX_DOUBLE(0x1.00c89cba71a8cp+0, 0x100c89cba71a8cLL, -52), MAKE_HEX_DOUBLE(-0x1.20faed2dc9a9ep-8, -0x120faed2dc9a9eLL, -60), MAKE_HEX_DOUBLE(0x1.9e7c40f9839fdp-62, 0x19e7c40f9839fdLL, -114)},
-{MAKE_HEX_DOUBLE(0x1.00b8849f52834p+0, 0x100b8849f52834LL, -52), MAKE_HEX_DOUBLE(-0x1.09d448cb65014p-8, -0x109d448cb65014LL, -60), MAKE_HEX_DOUBLE(0x1.387e3e9b6d02p-62, 0x1387e3e9b6d02LL, -110)},
-{MAKE_HEX_DOUBLE(0x1.00a86e88899a4p+0, 0x100a86e88899a4LL, -52), MAKE_HEX_DOUBLE(-0x1.e55e2fa53ebf1p-9, -0x1e55e2fa53ebf1LL, -61), MAKE_HEX_DOUBLE(0x1.cdaa71fddfddfp-62, 0x1cdaa71fddfddfLL, -114)},
-{MAKE_HEX_DOUBLE(0x1.00985a75b5e3fp+0, 0x100985a75b5e3fLL, -52), MAKE_HEX_DOUBLE(-0x1.b716b429dce0fp-9, -0x1b716b429dce0fLL, -61), MAKE_HEX_DOUBLE(0x1.2f2af081367bfp-63, 0x12f2af081367bfLL, -115)},
-{MAKE_HEX_DOUBLE(0x1.00884866766eep+0, 0x100884866766eeLL, -52), MAKE_HEX_DOUBLE(-0x1.88d21ec7a16d7p-9, -0x188d21ec7a16d7LL, -61), MAKE_HEX_DOUBLE(0x1.fb95c228d6f16p-62, 0x1fb95c228d6f16LL, -114)},
-{MAKE_HEX_DOUBLE(0x1.0078385a6a61dp+0, 0x10078385a6a61dLL, -52), MAKE_HEX_DOUBLE(-0x1.5a906f219a9e8p-9, -0x15a906f219a9e8LL, -61), MAKE_HEX_DOUBLE(0x1.18aff10a89f29p-64, 0x118aff10a89f29LL, -116)},
-{MAKE_HEX_DOUBLE(0x1.00682a5130fbep+0, 0x100682a5130fbeLL, -52), MAKE_HEX_DOUBLE(-0x1.2c51a4dae87f1p-9, -0x12c51a4dae87f1LL, -61), MAKE_HEX_DOUBLE(0x1.bcc7e33ddde3p-63, 0x1bcc7e33ddde3LL, -111)},
-{MAKE_HEX_DOUBLE(0x1.00581e4a69944p+0, 0x100581e4a69944LL, -52), MAKE_HEX_DOUBLE(-0x1.fc2b7f2d782b1p-10, -0x1fc2b7f2d782b1LL, -62), MAKE_HEX_DOUBLE(0x1.fe3ef3300a9fap-64, 0x1fe3ef3300a9faLL, -116)},
-{MAKE_HEX_DOUBLE(0x1.00481445b39a8p+0, 0x100481445b39a8LL, -52), MAKE_HEX_DOUBLE(-0x1.9fb97df0b0b83p-10, -0x19fb97df0b0b83LL, -62), MAKE_HEX_DOUBLE(0x1.0d9a601f2f324p-65, 0x10d9a601f2f324LL, -117)},
-{MAKE_HEX_DOUBLE(0x1.00380c42ae963p+0, 0x100380c42ae963LL, -52), MAKE_HEX_DOUBLE(-0x1.434d4546227aep-10, -0x1434d4546227aeLL, -62), MAKE_HEX_DOUBLE(0x1.0b9b6a5868f33p-63, 0x10b9b6a5868f33LL, -115)},
-{MAKE_HEX_DOUBLE(0x1.00280640fa271p+0, 0x100280640fa271LL, -52), MAKE_HEX_DOUBLE(-0x1.cdcda8e930c19p-11, -0x1cdcda8e930c19LL, -63), MAKE_HEX_DOUBLE(0x1.3d424ab39f789p-64, 0x13d424ab39f789LL, -116)},
-{MAKE_HEX_DOUBLE(0x1.0018024036051p+0, 0x10018024036051LL, -52), MAKE_HEX_DOUBLE(-0x1.150c558601261p-11, -0x1150c558601261LL, -63), MAKE_HEX_DOUBLE(0x1.285bb90327a0fp-64, 0x1285bb90327a0fLL, -116)},
-{MAKE_HEX_DOUBLE(0x1p+0, 0x1LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0)},
-{MAKE_HEX_DOUBLE(0x1p+0, 0x1LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0)},
-{MAKE_HEX_DOUBLE(0x1.ffa011fca0a1ep-1, 0x1ffa011fca0a1eLL, -53), MAKE_HEX_DOUBLE(0x1.14e5640c4197bp-10, 0x114e5640c4197bLL, -62), MAKE_HEX_DOUBLE(0x1.95728136ae401p-63, 0x195728136ae401LL, -115)},
-{MAKE_HEX_DOUBLE(0x1.ff6031f064e07p-1, 0x1ff6031f064e07LL, -53), MAKE_HEX_DOUBLE(0x1.cd61806bf532dp-10, 0x1cd61806bf532dLL, -62), MAKE_HEX_DOUBLE(0x1.568a4f35d8538p-63, 0x1568a4f35d8538LL, -115)},
-{MAKE_HEX_DOUBLE(0x1.ff2061d532b9cp-1, 0x1ff2061d532b9cLL, -53), MAKE_HEX_DOUBLE(0x1.42e34af550edap-9, 0x142e34af550edaLL, -61), MAKE_HEX_DOUBLE(0x1.8f69cee55fecp-62, 0x18f69cee55fecLL, -110)},
-{MAKE_HEX_DOUBLE(0x1.fee0a1a513253p-1, 0x1fee0a1a513253LL, -53), MAKE_HEX_DOUBLE(0x1.9f0a5523902eap-9, 0x19f0a5523902eaLL, -61), MAKE_HEX_DOUBLE(0x1.daec734b11615p-63, 0x1daec734b11615LL, -115)},
-{MAKE_HEX_DOUBLE(0x1.fea0f15a12139p-1, 0x1fea0f15a12139LL, -53), MAKE_HEX_DOUBLE(0x1.fb25e19f11b26p-9, 0x1fb25e19f11b26LL, -61), MAKE_HEX_DOUBLE(0x1.8bafca62941dap-62, 0x18bafca62941daLL, -114)},
-{MAKE_HEX_DOUBLE(0x1.fe6150ee3e6d4p-1, 0x1fe6150ee3e6d4LL, -53), MAKE_HEX_DOUBLE(0x1.2b9af9a28e282p-8, 0x12b9af9a28e282LL, -60), MAKE_HEX_DOUBLE(0x1.0fd3674e1dc5bp-61, 0x10fd3674e1dc5bLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.fe21c05baa109p-1, 0x1fe21c05baa109LL, -53), MAKE_HEX_DOUBLE(0x1.599d4678f24b9p-8, 0x1599d4678f24b9LL, -60), MAKE_HEX_DOUBLE(0x1.dafce1f09937bp-61, 0x1dafce1f09937bLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.fde23f9c69cf9p-1, 0x1fde23f9c69cf9LL, -53), MAKE_HEX_DOUBLE(0x1.8799d8c046ebp-8, 0x18799d8c046ebLL, -56), MAKE_HEX_DOUBLE(0x1.ffa0ce0bdd217p-65, 0x1ffa0ce0bdd217LL, -117)},
-{MAKE_HEX_DOUBLE(0x1.fda2ceaa956e8p-1, 0x1fda2ceaa956e8LL, -53), MAKE_HEX_DOUBLE(0x1.b590b1e5951eep-8, 0x1b590b1e5951eeLL, -60), MAKE_HEX_DOUBLE(0x1.645a769232446p-62, 0x1645a769232446LL, -114)},
-{MAKE_HEX_DOUBLE(0x1.fd636d8047a1fp-1, 0x1fd636d8047a1fLL, -53), MAKE_HEX_DOUBLE(0x1.e381d3555dbcfp-8, 0x1e381d3555dbcfLL, -60), MAKE_HEX_DOUBLE(0x1.882320d368331p-61, 0x1882320d368331LL, -113)},
-{MAKE_HEX_DOUBLE(0x1.fd241c179e0ccp-1, 0x1fd241c179e0ccLL, -53), MAKE_HEX_DOUBLE(0x1.08b69f3dccdep-7, 0x108b69f3dccdeLL, -55), MAKE_HEX_DOUBLE(0x1.01ad5065aba9ep-61, 0x101ad5065aba9eLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.fce4da6ab93e8p-1, 0x1fce4da6ab93e8LL, -53), MAKE_HEX_DOUBLE(0x1.1fa97a61dd298p-7, 0x11fa97a61dd298LL, -59), MAKE_HEX_DOUBLE(0x1.84cd1f931ae34p-60, 0x184cd1f931ae34LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.fca5a873bcb19p-1, 0x1fca5a873bcb19LL, -53), MAKE_HEX_DOUBLE(0x1.36997bcc54a3fp-7, 0x136997bcc54a3fLL, -59), MAKE_HEX_DOUBLE(0x1.1485e97eaee03p-60, 0x11485e97eaee03LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.fc66862ccec93p-1, 0x1fc66862ccec93LL, -53), MAKE_HEX_DOUBLE(0x1.4d86a43264a4fp-7, 0x14d86a43264a4fLL, -59), MAKE_HEX_DOUBLE(0x1.c75e63370988bp-61, 0x1c75e63370988bLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.fc27739018cfep-1, 0x1fc27739018cfeLL, -53), MAKE_HEX_DOUBLE(0x1.6470f448fb09dp-7, 0x16470f448fb09dLL, -59), MAKE_HEX_DOUBLE(0x1.d7361eeaed0a1p-65, 0x1d7361eeaed0a1LL, -117)},
-{MAKE_HEX_DOUBLE(0x1.fbe87097c6f5ap-1, 0x1fbe87097c6f5aLL, -53), MAKE_HEX_DOUBLE(0x1.7b586cc4c2523p-7, 0x17b586cc4c2523LL, -59), MAKE_HEX_DOUBLE(0x1.b3df952cc473cp-61, 0x1b3df952cc473cLL, -113)},
-{MAKE_HEX_DOUBLE(0x1.fba97d3e084ddp-1, 0x1fba97d3e084ddLL, -53), MAKE_HEX_DOUBLE(0x1.923d0e5a21e06p-7, 0x1923d0e5a21e06LL, -59), MAKE_HEX_DOUBLE(0x1.cf56c7b64ae5dp-62, 0x1cf56c7b64ae5dLL, -114)},
-{MAKE_HEX_DOUBLE(0x1.fb6a997d0ecdcp-1, 0x1fb6a997d0ecdcLL, -53), MAKE_HEX_DOUBLE(0x1.a91ed9bd3df9ap-7, 0x1a91ed9bd3df9aLL, -59), MAKE_HEX_DOUBLE(0x1.b957bdcd89e43p-61, 0x1b957bdcd89e43LL, -113)},
-{MAKE_HEX_DOUBLE(0x1.fb2bc54f0f4abp-1, 0x1fb2bc54f0f4abLL, -53), MAKE_HEX_DOUBLE(0x1.bffdcfa1f7fbbp-7, 0x1bffdcfa1f7fbbLL, -59), MAKE_HEX_DOUBLE(0x1.ea8cad9a21771p-62, 0x1ea8cad9a21771LL, -114)},
-{MAKE_HEX_DOUBLE(0x1.faed00ae41783p-1, 0x1faed00ae41783LL, -53), MAKE_HEX_DOUBLE(0x1.d6d9f0bbee6f6p-7, 0x1d6d9f0bbee6f6LL, -59), MAKE_HEX_DOUBLE(0x1.5762a9af89c82p-60, 0x15762a9af89c82LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.faae4b94dfe64p-1, 0x1faae4b94dfe64LL, -53), MAKE_HEX_DOUBLE(0x1.edb33dbe7d335p-7, 0x1edb33dbe7d335LL, -59), MAKE_HEX_DOUBLE(0x1.21e24fc245697p-62, 0x121e24fc245697LL, -114)},
-{MAKE_HEX_DOUBLE(0x1.fa6fa5fd27ff8p-1, 0x1fa6fa5fd27ff8LL, -53), MAKE_HEX_DOUBLE(0x1.0244dbae5ed05p-6, 0x10244dbae5ed05LL, -58), MAKE_HEX_DOUBLE(0x1.12ef51b967102p-60, 0x112ef51b967102LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.fa310fe15a078p-1, 0x1fa310fe15a078LL, -53), MAKE_HEX_DOUBLE(0x1.0daeaf24c3529p-6, 0x10daeaf24c3529LL, -58), MAKE_HEX_DOUBLE(0x1.10d3cfca60b45p-59, 0x110d3cfca60b45LL, -111)},
-{MAKE_HEX_DOUBLE(0x1.f9f2893bb9192p-1, 0x1f9f2893bb9192LL, -53), MAKE_HEX_DOUBLE(0x1.1917199bb66bcp-6, 0x11917199bb66bcLL, -58), MAKE_HEX_DOUBLE(0x1.6cf6034c32e19p-60, 0x16cf6034c32e19LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.f9b412068b247p-1, 0x1f9b412068b247LL, -53), MAKE_HEX_DOUBLE(0x1.247e1b6c615d5p-6, 0x1247e1b6c615d5LL, -58), MAKE_HEX_DOUBLE(0x1.42f0fffa229f7p-61, 0x142f0fffa229f7LL, -113)},
-{MAKE_HEX_DOUBLE(0x1.f975aa3c18ed6p-1, 0x1f975aa3c18ed6LL, -53), MAKE_HEX_DOUBLE(0x1.2fe3b4efcc5adp-6, 0x12fe3b4efcc5adLL, -58), MAKE_HEX_DOUBLE(0x1.70106136a8919p-60, 0x170106136a8919LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.f93751d6ae09bp-1, 0x1f93751d6ae09bLL, -53), MAKE_HEX_DOUBLE(0x1.3b47e67edea93p-6, 0x13b47e67edea93LL, -58), MAKE_HEX_DOUBLE(0x1.38dd5a4f6959ap-59, 0x138dd5a4f6959aLL, -111)},
-{MAKE_HEX_DOUBLE(0x1.f8f908d098df6p-1, 0x1f8f908d098df6LL, -53), MAKE_HEX_DOUBLE(0x1.46aab0725ea6cp-6, 0x146aab0725ea6cLL, -58), MAKE_HEX_DOUBLE(0x1.821fc1e799e01p-60, 0x1821fc1e799e01LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.f8bacf242aa2cp-1, 0x1f8bacf242aa2cLL, -53), MAKE_HEX_DOUBLE(0x1.520c1322f1e4ep-6, 0x1520c1322f1e4eLL, -58), MAKE_HEX_DOUBLE(0x1.129dcda3ad563p-60, 0x1129dcda3ad563LL, -112)},
-{MAKE_HEX_DOUBLE(0x1.f87ca4cbb755p-1, 0x1f87ca4cbb755LL, -49), MAKE_HEX_DOUBLE(0x1.5d6c0ee91d2abp-6, 0x15d6c0ee91d2abLL, -58), MAKE_HEX_DOUBLE(0x1.c5b190c04606ep-62, 0x1c5b190c04606eLL, -114)},
-{MAKE_HEX_DOUBLE(0x1.f83e89c195c25p-1, 0x1f83e89c195c25LL, -53), MAKE_HEX_DOUBLE(0x1.68caa41d448c3p-6, 0x168caa41d448c3LL, -58), MAKE_HEX_DOUBLE(0x1.4723441195ac9p-59, 0x14723441195ac9LL, -111)}
+{HEX_DBL( +, 1, 01fbe7f0a1be6, +, 0 ), HEX_DBL( -, 1, 6cf6ddd26112a, -,  7 ), HEX_DBL( +, 1, 0725e5755e314, -, 60 )},
+{HEX_DBL( +, 1, 01eba93a97b12, +, 0 ), HEX_DBL( -, 1, 6155b1d99f603, -,  7 ), HEX_DBL( +, 1, 4bcea073117f4, -, 60 )},
+{HEX_DBL( +, 1, 01db6c9029cd1, +, 0 ), HEX_DBL( -, 1, 55b54153137ff, -,  7 ), HEX_DBL( +, 1, 21e8faccad0ec, -, 61 )},
+{HEX_DBL( +, 1, 01cb31f0f534c, +, 0 ), HEX_DBL( -, 1, 4a158c27245bd, -,  7 ), HEX_DBL( +, 1, 1a5b7bfbf35d3, -, 60 )},
+{HEX_DBL( +, 1, 01baf95c9723c, +, 0 ), HEX_DBL( -, 1, 3e76923e3d678, -,  7 ), HEX_DBL( +, 1, eee400eb5fe34, -, 62 )},
+{HEX_DBL( +, 1, 01aac2d2acee6, +, 0 ), HEX_DBL( -, 1, 32d85380ce776, -,  7 ), HEX_DBL( +, 1, cbf7a513937bd, -, 61 )},
+{HEX_DBL( +, 1, 019a8e52d401e, +, 0 ), HEX_DBL( -, 1, 273acfd74be72, -,  7 ), HEX_DBL( +, 1, 5c64599efa5e6, -, 60 )},
+{HEX_DBL( +, 1, 018a5bdca9e42, +, 0 ), HEX_DBL( -, 1, 1b9e072a2e65,  -,  7 ), HEX_DBL( +, 1, 364180e0a5d37, -, 60 )},
+{HEX_DBL( +, 1, 017a2b6fcc33e, +, 0 ), HEX_DBL( -, 1, 1001f961f3243, -,  7 ), HEX_DBL( +, 1, 63d795746f216, -, 60 )},
+{HEX_DBL( +, 1, 0169fd0bd8a8a, +, 0 ), HEX_DBL( -, 1, 0466a6671bca4, -,  7 ), HEX_DBL( +, 1, 4c99ff1907435, -, 60 )},
+{HEX_DBL( +, 1, 0159d0b06d129, +, 0 ), HEX_DBL( -, 1, f1981c445cd05, -,  8 ), HEX_DBL( +, 1, 4bfff6366b723, -, 62 )},
+{HEX_DBL( +, 1, 0149a65d275a6, +, 0 ), HEX_DBL( -, 1, da6460f76ab8c, -,  8 ), HEX_DBL( +, 1, 9c5404f47589c, -, 61 )},
+{HEX_DBL( +, 1, 01397e11a581b, +, 0 ), HEX_DBL( -, 1, c3321ab87f4ef, -,  8 ), HEX_DBL( +, 1, c0da537429cea, -, 61 )},
+{HEX_DBL( +, 1, 012957cd85a28, +, 0 ), HEX_DBL( -, 1, ac014958c112c, -,  8 ), HEX_DBL( +, 1, 000c2a1b595e3, -, 64 )},
+{HEX_DBL( +, 1, 0119339065ef7, +, 0 ), HEX_DBL( -, 1, 94d1eca95f67a, -,  8 ), HEX_DBL( +, 1, d8d20b0564d5,  -, 61 )},
+{HEX_DBL( +, 1, 01091159e4b3d, +, 0 ), HEX_DBL( -, 1, 7da4047b92b3e, -,  8 ), HEX_DBL( +, 1, 6194a5d68cf2,  -, 66 )},
+{HEX_DBL( +, 1, 00f8f129a0535, +, 0 ), HEX_DBL( -, 1, 667790a09bf77, -,  8 ), HEX_DBL( +, 1, ca230e0bea645, -, 61 )},
+{HEX_DBL( +, 1, 00e8d2ff374a1, +, 0 ), HEX_DBL( -, 1, 4f4c90e9c4ead, -,  8 ), HEX_DBL( +, 1, 1de3e7f350c1,  -, 61 )},
+{HEX_DBL( +, 1, 00d8b6da482ce, +, 0 ), HEX_DBL( -, 1, 3823052860649, -,  8 ), HEX_DBL( +, 1, 5789b4c5891b8, -, 64 )},
+{HEX_DBL( +, 1, 00c89cba71a8c, +, 0 ), HEX_DBL( -, 1, 20faed2dc9a9e, -,  8 ), HEX_DBL( +, 1, 9e7c40f9839fd, -, 62 )},
+{HEX_DBL( +, 1, 00b8849f52834, +, 0 ), HEX_DBL( -, 1, 09d448cb65014, -,  8 ), HEX_DBL( +, 1, 387e3e9b6d02,  -, 62 )},
+{HEX_DBL( +, 1, 00a86e88899a4, +, 0 ), HEX_DBL( -, 1, e55e2fa53ebf1, -,  9 ), HEX_DBL( +, 1, cdaa71fddfddf, -, 62 )},
+{HEX_DBL( +, 1, 00985a75b5e3f, +, 0 ), HEX_DBL( -, 1, b716b429dce0f, -,  9 ), HEX_DBL( +, 1, 2f2af081367bf, -, 63 )},
+{HEX_DBL( +, 1, 00884866766ee, +, 0 ), HEX_DBL( -, 1, 88d21ec7a16d7, -,  9 ), HEX_DBL( +, 1, fb95c228d6f16, -, 62 )},
+{HEX_DBL( +, 1, 0078385a6a61d, +, 0 ), HEX_DBL( -, 1, 5a906f219a9e8, -,  9 ), HEX_DBL( +, 1, 18aff10a89f29, -, 64 )},
+{HEX_DBL( +, 1, 00682a5130fbe, +, 0 ), HEX_DBL( -, 1, 2c51a4dae87f1, -,  9 ), HEX_DBL( +, 1, bcc7e33ddde3,  -, 63 )},
+{HEX_DBL( +, 1, 00581e4a69944, +, 0 ), HEX_DBL( -, 1, fc2b7f2d782b1, -, 10 ), HEX_DBL( +, 1, fe3ef3300a9fa, -, 64 )},
+{HEX_DBL( +, 1, 00481445b39a8, +, 0 ), HEX_DBL( -, 1, 9fb97df0b0b83, -, 10 ), HEX_DBL( +, 1, 0d9a601f2f324, -, 65 )},
+{HEX_DBL( +, 1, 00380c42ae963, +, 0 ), HEX_DBL( -, 1, 434d4546227ae, -, 10 ), HEX_DBL( +, 1, 0b9b6a5868f33, -, 63 )},
+{HEX_DBL( +, 1, 00280640fa271, +, 0 ), HEX_DBL( -, 1, cdcda8e930c19, -, 11 ), HEX_DBL( +, 1, 3d424ab39f789, -, 64 )},
+{HEX_DBL( +, 1, 0018024036051, +, 0 ), HEX_DBL( -, 1, 150c558601261, -, 11 ), HEX_DBL( +, 1, 285bb90327a0f, -, 64 )},
+{HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,             +,  0 ), HEX_DBL( +, 0, 0,             +,  0 )},
+{HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,             +,  0 ), HEX_DBL( +, 0, 0,             +,  0 )},
+{HEX_DBL( +, 1, ffa011fca0a1e, -, 1 ), HEX_DBL( +, 1, 14e5640c4197b, -, 10 ), HEX_DBL( +, 1, 95728136ae401, -, 63 )},
+{HEX_DBL( +, 1, ff6031f064e07, -, 1 ), HEX_DBL( +, 1, cd61806bf532d, -, 10 ), HEX_DBL( +, 1, 568a4f35d8538, -, 63 )},
+{HEX_DBL( +, 1, ff2061d532b9c, -, 1 ), HEX_DBL( +, 1, 42e34af550eda, -,  9 ), HEX_DBL( +, 1, 8f69cee55fec,  -, 62 )},
+{HEX_DBL( +, 1, fee0a1a513253, -, 1 ), HEX_DBL( +, 1, 9f0a5523902ea, -,  9 ), HEX_DBL( +, 1, daec734b11615, -, 63 )},
+{HEX_DBL( +, 1, fea0f15a12139, -, 1 ), HEX_DBL( +, 1, fb25e19f11b26, -,  9 ), HEX_DBL( +, 1, 8bafca62941da, -, 62 )},
+{HEX_DBL( +, 1, fe6150ee3e6d4, -, 1 ), HEX_DBL( +, 1, 2b9af9a28e282, -,  8 ), HEX_DBL( +, 1, 0fd3674e1dc5b, -, 61 )},
+{HEX_DBL( +, 1, fe21c05baa109, -, 1 ), HEX_DBL( +, 1, 599d4678f24b9, -,  8 ), HEX_DBL( +, 1, dafce1f09937b, -, 61 )},
+{HEX_DBL( +, 1, fde23f9c69cf9, -, 1 ), HEX_DBL( +, 1, 8799d8c046eb,  -,  8 ), HEX_DBL( +, 1, ffa0ce0bdd217, -, 65 )},
+{HEX_DBL( +, 1, fda2ceaa956e8, -, 1 ), HEX_DBL( +, 1, b590b1e5951ee, -,  8 ), HEX_DBL( +, 1, 645a769232446, -, 62 )},
+{HEX_DBL( +, 1, fd636d8047a1f, -, 1 ), HEX_DBL( +, 1, e381d3555dbcf, -,  8 ), HEX_DBL( +, 1, 882320d368331, -, 61 )},
+{HEX_DBL( +, 1, fd241c179e0cc, -, 1 ), HEX_DBL( +, 1, 08b69f3dccde,  -,  7 ), HEX_DBL( +, 1, 01ad5065aba9e, -, 61 )},
+{HEX_DBL( +, 1, fce4da6ab93e8, -, 1 ), HEX_DBL( +, 1, 1fa97a61dd298, -,  7 ), HEX_DBL( +, 1, 84cd1f931ae34, -, 60 )},
+{HEX_DBL( +, 1, fca5a873bcb19, -, 1 ), HEX_DBL( +, 1, 36997bcc54a3f, -,  7 ), HEX_DBL( +, 1, 1485e97eaee03, -, 60 )},
+{HEX_DBL( +, 1, fc66862ccec93, -, 1 ), HEX_DBL( +, 1, 4d86a43264a4f, -,  7 ), HEX_DBL( +, 1, c75e63370988b, -, 61 )},
+{HEX_DBL( +, 1, fc27739018cfe, -, 1 ), HEX_DBL( +, 1, 6470f448fb09d, -,  7 ), HEX_DBL( +, 1, d7361eeaed0a1, -, 65 )},
+{HEX_DBL( +, 1, fbe87097c6f5a, -, 1 ), HEX_DBL( +, 1, 7b586cc4c2523, -,  7 ), HEX_DBL( +, 1, b3df952cc473c, -, 61 )},
+{HEX_DBL( +, 1, fba97d3e084dd, -, 1 ), HEX_DBL( +, 1, 923d0e5a21e06, -,  7 ), HEX_DBL( +, 1, cf56c7b64ae5d, -, 62 )},
+{HEX_DBL( +, 1, fb6a997d0ecdc, -, 1 ), HEX_DBL( +, 1, a91ed9bd3df9a, -,  7 ), HEX_DBL( +, 1, b957bdcd89e43, -, 61 )},
+{HEX_DBL( +, 1, fb2bc54f0f4ab, -, 1 ), HEX_DBL( +, 1, bffdcfa1f7fbb, -,  7 ), HEX_DBL( +, 1, ea8cad9a21771, -, 62 )},
+{HEX_DBL( +, 1, faed00ae41783, -, 1 ), HEX_DBL( +, 1, d6d9f0bbee6f6, -,  7 ), HEX_DBL( +, 1, 5762a9af89c82, -, 60 )},
+{HEX_DBL( +, 1, faae4b94dfe64, -, 1 ), HEX_DBL( +, 1, edb33dbe7d335, -,  7 ), HEX_DBL( +, 1, 21e24fc245697, -, 62 )},
+{HEX_DBL( +, 1, fa6fa5fd27ff8, -, 1 ), HEX_DBL( +, 1, 0244dbae5ed05, -,  6 ), HEX_DBL( +, 1, 12ef51b967102, -, 60 )},
+{HEX_DBL( +, 1, fa310fe15a078, -, 1 ), HEX_DBL( +, 1, 0daeaf24c3529, -,  6 ), HEX_DBL( +, 1, 10d3cfca60b45, -, 59 )},
+{HEX_DBL( +, 1, f9f2893bb9192, -, 1 ), HEX_DBL( +, 1, 1917199bb66bc, -,  6 ), HEX_DBL( +, 1, 6cf6034c32e19, -, 60 )},
+{HEX_DBL( +, 1, f9b412068b247, -, 1 ), HEX_DBL( +, 1, 247e1b6c615d5, -,  6 ), HEX_DBL( +, 1, 42f0fffa229f7, -, 61 )},
+{HEX_DBL( +, 1, f975aa3c18ed6, -, 1 ), HEX_DBL( +, 1, 2fe3b4efcc5ad, -,  6 ), HEX_DBL( +, 1, 70106136a8919, -, 60 )},
+{HEX_DBL( +, 1, f93751d6ae09b, -, 1 ), HEX_DBL( +, 1, 3b47e67edea93, -,  6 ), HEX_DBL( +, 1, 38dd5a4f6959a, -, 59 )},
+{HEX_DBL( +, 1, f8f908d098df6, -, 1 ), HEX_DBL( +, 1, 46aab0725ea6c, -,  6 ), HEX_DBL( +, 1, 821fc1e799e01, -, 60 )},
+{HEX_DBL( +, 1, f8bacf242aa2c, -, 1 ), HEX_DBL( +, 1, 520c1322f1e4e, -,  6 ), HEX_DBL( +, 1, 129dcda3ad563, -, 60 )},
+{HEX_DBL( +, 1, f87ca4cbb755,  -, 1 ), HEX_DBL( +, 1, 5d6c0ee91d2ab, -,  6 ), HEX_DBL( +, 1, c5b190c04606e, -, 62 )},
+{HEX_DBL( +, 1, f83e89c195c25, -, 1 ), HEX_DBL( +, 1, 68caa41d448c3, -,  6 ), HEX_DBL( +, 1, 4723441195ac9, -, 59 )}
 };
 
 static double __loglTable3[8][3] = {
-{MAKE_HEX_DOUBLE(0x1.000e00c40ab89p+0, 0x1000e00c40ab89LL, -52), MAKE_HEX_DOUBLE(-0x1.4332be0032168p-12, -0x14332be0032168LL, -64), MAKE_HEX_DOUBLE(0x1.a1003588d217ap-65, 0x1a1003588d217aLL, -117)},
-{MAKE_HEX_DOUBLE(0x1.000a006403e82p+0, 0x1000a006403e82LL, -52), MAKE_HEX_DOUBLE(-0x1.cdb2987366fccp-13, -0x1cdb2987366fccLL, -65), MAKE_HEX_DOUBLE(0x1.5c86001294bbcp-67, 0x15c86001294bbcLL, -119)},
-{MAKE_HEX_DOUBLE(0x1.0006002400d8p+0, 0x10006002400d8LL, -48), MAKE_HEX_DOUBLE(-0x1.150297c90fa6fp-13, -0x1150297c90fa6fLL, -65), MAKE_HEX_DOUBLE(0x1.01fb4865fae32p-66, 0x101fb4865fae32LL, -118)},
-{MAKE_HEX_DOUBLE(0x1p+0, 0x1LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0)},
-{MAKE_HEX_DOUBLE(0x1p+0, 0x1LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0), MAKE_HEX_DOUBLE(0x0p+0, 0x0LL, 0)},
-{MAKE_HEX_DOUBLE(0x1.ffe8011ff280ap-1, 0x1ffe8011ff280aLL, -53), MAKE_HEX_DOUBLE(0x1.14f8daf5e3d3bp-12, 0x114f8daf5e3d3bLL, -64), MAKE_HEX_DOUBLE(0x1.3c933b4b6b914p-68, 0x13c933b4b6b914LL, -120)},
-{MAKE_HEX_DOUBLE(0x1.ffd8031fc184ep-1, 0x1ffd8031fc184eLL, -53), MAKE_HEX_DOUBLE(0x1.cd978c38042bbp-12, 0x1cd978c38042bbLL, -64), MAKE_HEX_DOUBLE(0x1.10f8e642e66fdp-65, 0x110f8e642e66fdLL, -117)},
-{MAKE_HEX_DOUBLE(0x1.ffc8061f5492bp-1, 0x1ffc8061f5492bLL, -53), MAKE_HEX_DOUBLE(0x1.43183c878274ep-11, 0x143183c878274eLL, -63), MAKE_HEX_DOUBLE(0x1.5885dd1eb6582p-65, 0x15885dd1eb6582LL, -117)}
+{HEX_DBL( +, 1, 000e00c40ab89, +, 0 ), HEX_DBL( -, 1, 4332be0032168, -, 12 ), HEX_DBL( +, 1, a1003588d217a, -, 65 )},
+{HEX_DBL( +, 1, 000a006403e82, +, 0 ), HEX_DBL( -, 1, cdb2987366fcc, -, 13 ), HEX_DBL( +, 1, 5c86001294bbc, -, 67 )},
+{HEX_DBL( +, 1, 0006002400d8,  +, 0 ), HEX_DBL( -, 1, 150297c90fa6f, -, 13 ), HEX_DBL( +, 1, 01fb4865fae32, -, 66 )},
+{HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,             +,  0 ), HEX_DBL( +, 0, 0,             +,  0 )},
+{HEX_DBL( +, 1, 0,             +, 0 ), HEX_DBL( +, 0, 0,             +,  0 ), HEX_DBL( +, 0, 0,             +,  0 )},
+{HEX_DBL( +, 1, ffe8011ff280a, -, 1 ), HEX_DBL( +, 1, 14f8daf5e3d3b, -, 12 ), HEX_DBL( +, 1, 3c933b4b6b914, -, 68 )},
+{HEX_DBL( +, 1, ffd8031fc184e, -, 1 ), HEX_DBL( +, 1, cd978c38042bb, -, 12 ), HEX_DBL( +, 1, 10f8e642e66fd, -, 65 )},
+{HEX_DBL( +, 1, ffc8061f5492b, -, 1 ), HEX_DBL( +, 1, 43183c878274e, -, 11 ), HEX_DBL( +, 1, 5885dd1eb6582, -, 65 )}
 };
 
 static void __log2_ep(double *hi, double *lo, double x)
@@ -4181,13 +4211,13 @@ static void __log2_ep(double *hi, double *lo, double x)
     // can be done in double .... also Aolo*zhi + Aohi*zlo can be done in double ....
     // Aohi*zhi needs to be done in double-double
 
-    double Aohi = MAKE_HEX_DOUBLE(0x1.71547652b82fep+0, 0x171547652b82feLL, -52);
-    double Aolo = MAKE_HEX_DOUBLE(0x1.777c9cbb675cp-56, 0x1777c9cbb675cLL, -104);
+    double Aohi = HEX_DBL( +, 1, 71547652b82fe, +, 0 );
+    double Aolo = HEX_DBL( +, 1, 777c9cbb675c, -, 56 );
     double y;
-    y = MAKE_HEX_DOUBLE(0x1.276d2736fade7p-2, 0x1276d2736fade7LL, -54);
-    y = MAKE_HEX_DOUBLE(-0x1.7154765782df1p-2, -0x17154765782df1LL, -54) + y*zhi;
-    y = MAKE_HEX_DOUBLE(0x1.ec709dc3a0f67p-2, 0x1ec709dc3a0f67LL, -54) + y*zhi;
-    y = MAKE_HEX_DOUBLE(-0x1.71547652b82fep-1, -0x171547652b82feLL, -53) + y*zhi;
+    y = HEX_DBL( +, 1, 276d2736fade7, -, 2 );
+    y = HEX_DBL( -, 1, 7154765782df1, -, 2 ) + y*zhi;
+    y = HEX_DBL( +, 1, ec709dc3a0f67, -, 2 ) + y*zhi;
+    y = HEX_DBL( -, 1, 71547652b82fe, -, 1 ) + y*zhi;
     double zhisq = zhi*zhi;
     y = y*zhisq;
     y = y + zhi*Aolo;
@@ -4221,7 +4251,7 @@ long double reference_powl( long double x, long double y )
 //    double x = (double) xx;
 //    double y = (double) yy;
 
-    static const double neg_epsilon = MAKE_HEX_DOUBLE(0x1.0p53, 0x1LL, 53);
+    static const double neg_epsilon = HEX_DBL( +, 1, 0, +, 53 );
 
     //if x = 1, return x for any y, even NaN
     if( x == 1.0 )
@@ -4329,19 +4359,19 @@ long double reference_powl( long double x, long double y )
 
     // compute product of y*log2(x)
     // scale to avoid overflow in double-double multiplication
-    if( reference_fabs( y ) > MAKE_HEX_DOUBLE(0x1.0p970, 0x1LL, 970) ) {
+    if( reference_fabs( y ) > HEX_DBL( +, 1, 0, +, 970 ) ) {
         y_hi = reference_ldexp(y_hi, -53);
         y_lo = reference_ldexp(y_lo, -53);
     }
     MulDD(&ylog2x_hi, &ylog2x_lo, log2x_hi, log2x_lo, y_hi, y_lo);
-    if( fabs( y ) > MAKE_HEX_DOUBLE(0x1.0p970, 0x1LL, 970) ) {
+    if( fabs( y ) > HEX_DBL( +, 1, 0, +, 970 ) ) {
         ylog2x_hi = reference_ldexp(ylog2x_hi, 53);
         ylog2x_lo = reference_ldexp(ylog2x_lo, 53);
     }
 
     long double powxy;
     if(isinf(ylog2x_hi) || (reference_fabs(ylog2x_hi) > 2200)) {
-        powxy = reference_signbit(ylog2x_hi) ? MAKE_HEX_DOUBLE(0x0p0, 0x0LL, 0) : INFINITY;
+        powxy = reference_signbit(ylog2x_hi) ? HEX_DBL( +, 0, 0, +, 0 ) : INFINITY;
     } else {
         // separate integer + fractional part
         long int m = lrint(ylog2x_hi);
@@ -4741,7 +4771,7 @@ static long double reference_scalblnl(long double x, long n)
 
 double reference_exp(double x)
 {
-    return reference_exp2( x * MAKE_HEX_DOUBLE(0x1.71547652b82fep+0, 0x171547652b82feLL, -52) );
+    return reference_exp2( x * HEX_DBL( +, 1, 71547652b82fe, +, 0 ) );
 }
 
 long double reference_expl(long double x)
@@ -4815,7 +4845,11 @@ long double reference_fmodl(long double x, long double y)
 double reference_modf(double x, double *n)
 {
     float nr;
+#if defined(__ANDROID__)
+    float yr =  modff_android((float) x, &nr );
+#else
     float yr = modff((float) x, &nr);
+#endif
     *n = nr;
     return yr;
 }
@@ -4842,7 +4876,7 @@ long double reference_fractl(long double x, long double *ip )
         f = 1.0 + f;
         i -= 1.0;
         if( f == 1.0 )
-            f = MAKE_HEX_DOUBLE(0x1.fffffffffffffp-1, 0x1fffffffffffffLL, -53);
+            f = HEX_DBL( +, 1, fffffffffffff, -, 1 );
     }
     *ip = i;
     return f;
@@ -4864,7 +4898,7 @@ double reference_log(double x)
     if( isinf(x) )
         return INFINITY;
 
-    double log2Hi = MAKE_HEX_DOUBLE(0x1.62e42fefa39efp-1, 0x162e42fefa39efLL, -53);
+    double log2Hi = HEX_DBL( +, 1, 62e42fefa39ef, -, 1 );
     double logxHi, logxLo;
     __log2_ep(&logxHi, &logxLo, x);
     return logxHi*log2Hi;
@@ -4881,8 +4915,8 @@ long double reference_logl(long double x)
     if( isinf(x) )
         return INFINITY;
 
-    double log2Hi = MAKE_HEX_DOUBLE(0x1.62e42fefa39efp-1,  0x162e42fefa39efLL, -53);
-    double log2Lo = MAKE_HEX_DOUBLE(0x1.abc9e3b39803fp-56, 0x1abc9e3b39803fLL, -108);
+    double log2Hi = HEX_DBL( +, 1, 62e42fefa39ef, -, 1 );
+    double log2Lo = HEX_DBL( +, 1, abc9e3b39803f, -, 56 );
     double logxHi, logxLo;
     __log2_ep(&logxHi, &logxLo, x);
 
@@ -4897,7 +4931,7 @@ long double reference_logl(long double x)
 
 double reference_pow( double x, double y )
 {
-    static const double neg_epsilon = MAKE_HEX_DOUBLE(0x1.0p53, 0x1LL, 53);
+    static const double neg_epsilon = HEX_DBL( +, 1, 0, +, 53 );
 
     //if x = 1, return x for any y, even NaN
     if( x == 1.0 )
@@ -5052,7 +5086,7 @@ long double reference_ceill(long double x)
         return x;
 
     long double absx = reference_fabsl(x);
-    if( absx >= MAKE_HEX_LONG(0x1.0p52L, 0x1LL, 52) )
+    if( absx >= HEX_LDBL( +, 1, 0, +, 52 ) )
         return x;
 
     if( absx < 1.0 )
@@ -5086,14 +5120,14 @@ long double reference_acosl(long double x)
     head = temp + (long double) pi_bits[1];
     temp -= head;           // rounding err rounding pi_bits[1] into head
     tail = (long double) pi_bits[1] + temp;
-    head *= MAKE_HEX_LONG( 0x1.0p-125L, 1, -125 );
-    tail *= MAKE_HEX_LONG( 0x1.0p-125L, 1, -125 );
+    head *= HEX_LDBL( +, 1, 0, -, 125 );
+    tail *= HEX_LDBL( +, 1, 0, -, 125 );
 #else
     head = (long double) pi_bits[0];
     tail = (long double) ((cl_long) pi_bits[0] - (cl_long) head );       // residual part of pi_bits[0] after rounding
-    tail = tail * MAKE_HEX_LONG( 0x1.0p64L, 1, 64 ) + (long double) pi_bits[1];
-    head *= MAKE_HEX_LONG( 0x1.0p-61, 1, -61 );
-    tail *= MAKE_HEX_LONG( 0x1.0p-125, 1, -125 );
+    tail = tail * HEX_LDBL( +, 1, 0, +, 64 ) + (long double) pi_bits[1];
+    head *= HEX_LDBL( +, 1, 0, -, 61 );
+    tail *= HEX_LDBL( +, 1, 0, -, 125 );
 #endif
 
     // oversize values and NaNs go to NaN
@@ -5125,13 +5159,13 @@ long double reference_acosl(long double x)
         // Define q = r*r, and solve for atan(r):
         //
         //  atan(r) = (p(r) + 1) * r = rp(r) + r
-        static long double atan_coeffs[] = { -MAKE_HEX_LONG( 0xb.3f52e0c278293b3p-67L, 0xb3f52e0c278293b3ULL, -127 ), -MAKE_HEX_LONG( 0xa.aaaaaaaaaaa95b8p-5L, 0xaaaaaaaaaaaa95b8ULL, -65 ),
-                                              MAKE_HEX_LONG( 0xc.ccccccccc992407p-6L, 0xcccccccccc992407ULL, -66 ), -MAKE_HEX_LONG( 0x9.24924923024398p-6L, 0x9249249230243980ULL, -66 ),
-                                              MAKE_HEX_LONG( 0xe.38e38d6f92c98f3p-7L, 0xe38e38d6f92c98f3ULL, -67 ), -MAKE_HEX_LONG( 0xb.a2e89bfb8393ec6p-7L, 0xba2e89bfb8393ec6ULL, -67 ),
-                                              MAKE_HEX_LONG( 0x9.d89a9f574d412cbp-7L, 0x9d89a9f574d412cbULL, -67 ), -MAKE_HEX_LONG( 0x8.88580517884c547p-7L, 0x888580517884c547ULL, -67 ),
-                                              MAKE_HEX_LONG( 0xf.0ab6756abdad408p-8L, 0xf0ab6756abdad408ULL, -68 ), -MAKE_HEX_LONG( 0xd.56a5b07a2f15b49p-8L, 0xd56a5b07a2f15b49ULL, -68 ),
-                                              MAKE_HEX_LONG( 0xb.72ab587e46d80b2p-8L, 0xb72ab587e46d80b2ULL, -68 ), -MAKE_HEX_LONG( 0x8.62ea24bb5b2e636p-8L, 0x862ea24bb5b2e636ULL, -68 ),
-                                              MAKE_HEX_LONG( 0xe.d67c16582123937p-10L, 0xed67c16582123937ULL, -70 ) }; // minimax fit over [ 0x1.0p-52, 0.18]   Max error:  0x1.67ea5c184e5d9p-64
+        static long double atan_coeffs[] = { HEX_LDBL( -, b, 3f52e0c278293b3, -, 67 ), HEX_LDBL( -, a, aaaaaaaaaaa95b8, -, 5 ),
+                                             HEX_LDBL( +, c, ccccccccc992407, -,  6 ), HEX_LDBL( -, 9, 24924923024398,  -, 6 ),
+                                             HEX_LDBL( +, e, 38e38d6f92c98f3, -,  7 ), HEX_LDBL( -, b, a2e89bfb8393ec6, -, 7 ),
+                                             HEX_LDBL( +, 9, d89a9f574d412cb, -,  7 ), HEX_LDBL( -, 8, 88580517884c547, -, 7 ),
+                                             HEX_LDBL( +, f, 0ab6756abdad408, -,  8 ), HEX_LDBL( -, d, 56a5b07a2f15b49, -, 8 ),
+                                             HEX_LDBL( +, b, 72ab587e46d80b2, -,  8 ), HEX_LDBL( -, 8, 62ea24bb5b2e636, -, 8 ),
+                                             HEX_LDBL( +, e, d67c16582123937, -, 10 ) }; // minimax fit over [ 0x1.0p-52, 0.18]   Max error:  0x1.67ea5c184e5d9p-64
 
         // Calculate y = p(r)
         const size_t atan_coeff_count = sizeof( atan_coeffs ) / sizeof( atan_coeffs[0] );
@@ -5155,37 +5189,37 @@ long double reference_acosl(long double x)
     //      acos( sqrt(z) ) = acos(x) = x*(p(z)-1) + PI/2 = xp(x**2) - x + PI/2
     //
     const long double coeffs[4][14] = {
-                                    { -MAKE_HEX_LONG( 0xa.fa7382e1f347974p-10L, 0xafa7382e1f347974ULL, -70 ), -MAKE_HEX_LONG( 0xb.4d5a992de1ac4dap-6L, 0xb4d5a992de1ac4daULL, -66 ),
-                                      -MAKE_HEX_LONG( 0xa.c526184bd558c17p-7L, 0xac526184bd558c17ULL, -67 ), -MAKE_HEX_LONG( 0xd.9ed9b0346ec092ap-8L, 0xd9ed9b0346ec092aULL, -68 ),
-                                      -MAKE_HEX_LONG( 0x9.dca410c1f04b1fp-8L, 0x9dca410c1f04b1f0ULL, -68 ), -MAKE_HEX_LONG( 0xf.76e411ba9581ee5p-9L, 0xf76e411ba9581ee5ULL, -69 ),
-                                      -MAKE_HEX_LONG( 0xc.c71b00479541d8ep-9L, 0xcc71b00479541d8eULL, -69 ), -MAKE_HEX_LONG( 0xa.f527a3f9745c9dep-9L, 0xaf527a3f9745c9deULL, -69 ),
-                                      -MAKE_HEX_LONG( 0x9.a93060051f48d14p-9L, 0x9a93060051f48d14ULL, -69 ), -MAKE_HEX_LONG( 0x8.b3d39ad70e06021p-9L, 0x8b3d39ad70e06021ULL, -69 ),
-                                      -MAKE_HEX_LONG( 0xf.f2ab95ab84f79cp-10L, 0xff2ab95ab84f79c0ULL, -70 ), -MAKE_HEX_LONG( 0xe.d1af5f5301ccfe4p-10L, 0xed1af5f5301ccfe4ULL, -70 ),
-                                      -MAKE_HEX_LONG( 0xe.1b53ba562f0f74ap-10L, 0xe1b53ba562f0f74aULL, -70 ), -MAKE_HEX_LONG( 0xd.6a3851330e15526p-10L, 0xd6a3851330e15526ULL, -70 ) },  // x - 0.0625 in [ -0x1.fffffffffp-5, 0x1.0p-4 ]    Error: 0x1.97839bf07024p-76
+                                    { HEX_LDBL( -, a, fa7382e1f347974, -, 10 ), HEX_LDBL( -, b, 4d5a992de1ac4da, -,  6 ),
+                                      HEX_LDBL( -, a, c526184bd558c17, -,  7 ), HEX_LDBL( -, d, 9ed9b0346ec092a, -,  8 ),
+                                      HEX_LDBL( -, 9, dca410c1f04b1f,  -,  8 ), HEX_LDBL( -, f, 76e411ba9581ee5, -,  9 ),
+                                      HEX_LDBL( -, c, c71b00479541d8e, -,  9 ), HEX_LDBL( -, a, f527a3f9745c9de, -,  9 ),
+                                      HEX_LDBL( -, 9, a93060051f48d14, -,  9 ), HEX_LDBL( -, 8, b3d39ad70e06021, -,  9 ),
+                                      HEX_LDBL( -, f, f2ab95ab84f79c,  -, 10 ), HEX_LDBL( -, e, d1af5f5301ccfe4, -, 10 ),
+                                      HEX_LDBL( -, e, 1b53ba562f0f74a, -, 10 ), HEX_LDBL( -, d, 6a3851330e15526, -, 10 ) },  // x - 0.0625 in [ -0x1.fffffffffp-5, 0x1.0p-4 ]    Error: 0x1.97839bf07024p-76
 
-                                    { -MAKE_HEX_LONG( 0x8.c2f1d638e4c1b48p-8L, 0x8c2f1d638e4c1b48ULL, -68 ), -MAKE_HEX_LONG( 0xc.d47ac903c311c2cp-6L, 0xcd47ac903c311c2cULL, -66 ),
-                                      -MAKE_HEX_LONG( 0xd.e020b2dabd5606ap-7L, 0xde020b2dabd5606aULL, -67 ), -MAKE_HEX_LONG( 0xa.086fafac220f16bp-7L, 0xa086fafac220f16bULL, -67 ),
-                                      -MAKE_HEX_LONG( 0x8.55b5efaf6b86c3ep-7L, 0x855b5efaf6b86c3eULL, -67 ), -MAKE_HEX_LONG( 0xf.05c9774fed2f571p-8L, 0xf05c9774fed2f571ULL, -68 ),
-                                      -MAKE_HEX_LONG( 0xe.484a93f7f0fc772p-8L, 0xe484a93f7f0fc772ULL, -68 ), -MAKE_HEX_LONG( 0xe.1a32baef01626e4p-8L, 0xe1a32baef01626e4ULL, -68 ),
-                                      -MAKE_HEX_LONG( 0xe.528e525b5c9c73dp-8L, 0xe528e525b5c9c73dULL, -68 ), -MAKE_HEX_LONG( 0xe.ddd5d27ad49b2c8p-8L, 0xeddd5d27ad49b2c8ULL, -68 ),
-                                      -MAKE_HEX_LONG( 0xf.b3259e7ae10c6fp-8L, 0xfb3259e7ae10c6f0ULL, -68 ), -MAKE_HEX_LONG( 0x8.68998170d5b19b7p-7L, 0x868998170d5b19b7ULL, -67 ),
-                                      -MAKE_HEX_LONG( 0x9.4468907f007727p-7L, 0x94468907f0077270ULL, -67 ), -MAKE_HEX_LONG( 0xa.2ad5e4906a8e7b3p-7L, 0xa2ad5e4906a8e7b3ULL, -67 ) },// x - 0.1875 in [ -0x1.0p-4, 0x1.0p-4 ]    Error: 0x1.647af70073457p-73
+                                    { HEX_LDBL( -, 8, c2f1d638e4c1b48, -,  8 ), HEX_LDBL( -, c, d47ac903c311c2c, -,  6 ),
+                                      HEX_LDBL( -, d, e020b2dabd5606a, -,  7 ), HEX_LDBL( -, a, 086fafac220f16b, -,  7 ),
+                                      HEX_LDBL( -, 8, 55b5efaf6b86c3e, -,  7 ), HEX_LDBL( -, f, 05c9774fed2f571, -,  8 ),
+                                      HEX_LDBL( -, e, 484a93f7f0fc772, -,  8 ), HEX_LDBL( -, e, 1a32baef01626e4, -,  8 ),
+                                      HEX_LDBL( -, e, 528e525b5c9c73d, -,  8 ), HEX_LDBL( -, e, ddd5d27ad49b2c8, -,  8 ),
+                                      HEX_LDBL( -, f, b3259e7ae10c6f,  -,  8 ), HEX_LDBL( -, 8, 68998170d5b19b7, -,  7 ),
+                                      HEX_LDBL( -, 9, 4468907f007727,  -,  7 ), HEX_LDBL( -, a, 2ad5e4906a8e7b3, -,  7 ) },// x - 0.1875 in [ -0x1.0p-4, 0x1.0p-4 ]    Error: 0x1.647af70073457p-73
 
-                                    { -MAKE_HEX_LONG( 0xf.a76585ad399e7acp-8L, 0xfa76585ad399e7acULL, -68 ), -MAKE_HEX_LONG( 0xe.d665b7dd504ca7cp-6L, 0xed665b7dd504ca7cULL, -66 ),
-                                      -MAKE_HEX_LONG( 0x9.4c7c2402bd4bc33p-6L, 0x94c7c2402bd4bc33ULL, -66 ), -MAKE_HEX_LONG( 0xf.ba76b69074ff71cp-7L, 0xfba76b69074ff71cULL, -67 ),
-                                      -MAKE_HEX_LONG( 0xf.58117784bdb6d5fp-7L, 0xf58117784bdb6d5fULL, -67 ), -MAKE_HEX_LONG( 0x8.22ddd8eef53227dp-6L, 0x822ddd8eef53227dULL, -66 ),
-                                      -MAKE_HEX_LONG( 0x9.1d1d3b57a63cdb4p-6L, 0x91d1d3b57a63cdb4ULL, -66 ), -MAKE_HEX_LONG( 0xa.9c4bdc40cca848p-6L, 0xa9c4bdc40cca8480ULL, -66 ),
-                                      -MAKE_HEX_LONG( 0xc.b673b12794edb24p-6L, 0xcb673b12794edb24ULL, -66 ), -MAKE_HEX_LONG( 0xf.9290a06e31575bfp-6L, 0xf9290a06e31575bfULL, -66 ),
-                                      -MAKE_HEX_LONG( 0x9.b4929c16aeb3d1fp-5L, 0x9b4929c16aeb3d1fULL, -65 ), -MAKE_HEX_LONG( 0xc.461e725765a7581p-5L, 0xc461e725765a7581ULL, -65 ),
-                                      -MAKE_HEX_LONG( 0x8.0a59654c98d9207p-4L, 0x80a59654c98d9207ULL, -64 ), -MAKE_HEX_LONG( 0xa.6de6cbd96c80562p-4L, 0xa6de6cbd96c80562ULL, -64 ) }, // x - 0.3125 in [ -0x1.0p-4, 0x1.0p-4 ]   Error: 0x1.b0246c304ce1ap-70
+                                    { HEX_LDBL( -, f, a76585ad399e7ac, -,  8 ), HEX_LDBL( -, e, d665b7dd504ca7c, -,  6 ),
+                                      HEX_LDBL( -, 9, 4c7c2402bd4bc33, -,  6 ), HEX_LDBL( -, f, ba76b69074ff71c, -,  7 ),
+                                      HEX_LDBL( -, f, 58117784bdb6d5f, -,  7 ), HEX_LDBL( -, 8, 22ddd8eef53227d, -,  6 ),
+                                      HEX_LDBL( -, 9, 1d1d3b57a63cdb4, -,  6 ), HEX_LDBL( -, a, 9c4bdc40cca848,  -,  6 ),
+                                      HEX_LDBL( -, c, b673b12794edb24, -,  6 ), HEX_LDBL( -, f, 9290a06e31575bf, -,  6 ),
+                                      HEX_LDBL( -, 9, b4929c16aeb3d1f, -,  5 ), HEX_LDBL( -, c, 461e725765a7581, -,  5 ),
+                                      HEX_LDBL( -, 8, 0a59654c98d9207, -,  4 ), HEX_LDBL( -, a, 6de6cbd96c80562, -,  4 ) }, // x - 0.3125 in [ -0x1.0p-4, 0x1.0p-4 ]   Error: 0x1.b0246c304ce1ap-70
 
-                                    { -MAKE_HEX_LONG( 0xb.dca8b0359f96342p-7L, 0xbdca8b0359f96342ULL, -67 ), -MAKE_HEX_LONG( 0x8.cd2522fcde9823p-5L, 0x8cd2522fcde98230ULL, -65 ),
-                                      -MAKE_HEX_LONG( 0xd.2af9397b27ff74dp-6L, 0xd2af9397b27ff74dULL, -66 ), -MAKE_HEX_LONG( 0xd.723f2c2c2409811p-6L, 0xd723f2c2c2409811ULL, -66 ),
-                                      -MAKE_HEX_LONG( 0xf.ea8f8481ecc3cd1p-6L, 0xfea8f8481ecc3cd1ULL, -66 ), -MAKE_HEX_LONG( 0xa.43fd8a7a646b0b2p-5L, 0xa43fd8a7a646b0b2ULL, -65 ),
-                                      -MAKE_HEX_LONG( 0xe.01b0bf63a4e8d76p-5L, 0xe01b0bf63a4e8d76ULL, -65 ), -MAKE_HEX_LONG( 0x9.f0b7096a2a7b4dp-4L, 0x9f0b7096a2a7b4d0ULL, -64 ),
-                                      -MAKE_HEX_LONG( 0xe.872e7c5a627ab4cp-4L, 0xe872e7c5a627ab4cULL, -64 ), -MAKE_HEX_LONG( 0xa.dbd760a1882da48p-3L, 0xadbd760a1882da48ULL, -63 ),
-                                      -MAKE_HEX_LONG( 0x8.424e4dea31dd273p-2L, 0x8424e4dea31dd273ULL, -62 ), -MAKE_HEX_LONG( 0xc.c05d7730963e793p-2L, 0xcc05d7730963e793ULL, -62 ),
-                                      -MAKE_HEX_LONG( 0xa.523d97197cd124ap-1L, 0xa523d97197cd124aULL, -61 ), -MAKE_HEX_LONG( 0x8.307ba943978aaeep+0L, 0x8307ba943978aaeeULL, -60 ) } // x - 0.4375 in [ -0x1.0p-4, 0x1.0p-4 ]  Error: 0x1.9ecff73da69c9p-66
+                                    { HEX_LDBL( -, b, dca8b0359f96342, -,  7 ), HEX_LDBL( -, 8, cd2522fcde9823,  -,  5 ),
+                                      HEX_LDBL( -, d, 2af9397b27ff74d, -,  6 ), HEX_LDBL( -, d, 723f2c2c2409811, -,  6 ),
+                                      HEX_LDBL( -, f, ea8f8481ecc3cd1, -,  6 ), HEX_LDBL( -, a, 43fd8a7a646b0b2, -,  5 ),
+                                      HEX_LDBL( -, e, 01b0bf63a4e8d76, -,  5 ), HEX_LDBL( -, 9, f0b7096a2a7b4d,  -,  4 ),
+                                      HEX_LDBL( -, e, 872e7c5a627ab4c, -,  4 ), HEX_LDBL( -, a, dbd760a1882da48, -,  3 ),
+                                      HEX_LDBL( -, 8, 424e4dea31dd273, -,  2 ), HEX_LDBL( -, c, c05d7730963e793, -,  2 ),
+                                      HEX_LDBL( -, a, 523d97197cd124a, -,  1 ), HEX_LDBL( -, 8, 307ba943978aaee, +,  0 ) } // x - 0.4375 in [ -0x1.0p-4, 0x1.0p-4 ]  Error: 0x1.9ecff73da69c9p-66
                                  };
 
     const long double offsets[4] = { 0.0625, 0.1875, 0.3125, 0.4375 };
@@ -5220,7 +5254,7 @@ double reference_log10(double x)
     if( isinf(x) )
         return INFINITY;
 
-    double log2Hi = MAKE_HEX_DOUBLE(0x1.34413509f79fep-2, 0x134413509f79feLL, -54);
+    double log2Hi = HEX_DBL( +, 1, 34413509f79fe, -, 2 );
     double logxHi, logxLo;
     __log2_ep(&logxHi, &logxLo, x);
     return logxHi*log2Hi;
@@ -5237,8 +5271,8 @@ long double reference_log10l(long double x)
     if( isinf(x) )
         return INFINITY;
 
-    double log2Hi = MAKE_HEX_DOUBLE(0x1.34413509f79fep-2,  0x134413509f79feLL, -54);
-    double log2Lo = MAKE_HEX_DOUBLE(0x1.e623e2566b02dp-55, 0x1e623e2566b02dLL, -107);
+    double log2Hi = HEX_DBL( +, 1, 34413509f79fe, -, 2 );
+    double log2Lo = HEX_DBL( +, 1, e623e2566b02d, -, 55 );
     double logxHi, logxLo;
     __log2_ep(&logxHi, &logxLo, x);
 
@@ -5383,7 +5417,7 @@ long double reference_floorl(long double x)
         return x;
 
     long double absx = reference_fabsl(x);
-    if( absx >= MAKE_HEX_LONG(0x1.0p52L, 0x1LL, 52) )
+    if( absx >= HEX_LDBL( +, 1, 0, +, 52 ) )
         return x;
 
     if( absx < 1.0 )
@@ -5415,3 +5449,5 @@ int reference_notl( long double x )
     int r = !x;
     return r;
 }
+
+
diff --git a/test_conformance/math_brute_force/unary.c b/test_conformance/math_brute_force/unary.c
index f33f6ef3..26f3c186 100644
--- a/test_conformance/math_brute_force/unary.c
+++ b/test_conformance/math_brute_force/unary.c
@@ -19,9 +19,7 @@
 #include <stdint.h>
 #endif
 
-#include <stdlib.h>
 #include <string.h>
-#include <float.h>
 #include "FunctionList.h"
 
 #if defined( __APPLE__ )
diff --git a/test_conformance/math_brute_force/unary_two_results.c b/test_conformance/math_brute_force/unary_two_results.c
index d8c36c3c..09f10f4e 100644
--- a/test_conformance/math_brute_force/unary_two_results.c
+++ b/test_conformance/math_brute_force/unary_two_results.c
@@ -19,8 +19,6 @@
 #include <stdint.h>
 #endif
 
-#include <float.h>
-#include <stdlib.h>
 #include <string.h>
 #include "FunctionList.h"
 
diff --git a/test_conformance/math_brute_force/unary_two_results_i.c b/test_conformance/math_brute_force/unary_two_results_i.c
index bef9f832..302b66f7 100644
--- a/test_conformance/math_brute_force/unary_two_results_i.c
+++ b/test_conformance/math_brute_force/unary_two_results_i.c
@@ -20,8 +20,6 @@
 #endif
 
 #include <limits.h>
-#include <stdlib.h>
-#include <float.h>
 #include <string.h>
 #include "FunctionList.h"
 
diff --git a/test_conformance/math_brute_force/unary_u.c b/test_conformance/math_brute_force/unary_u.c
index 36988113..17aff609 100644
--- a/test_conformance/math_brute_force/unary_u.c
+++ b/test_conformance/math_brute_force/unary_u.c
@@ -17,9 +17,8 @@
 #if ! defined( _WIN32)
     #include <stdint.h>
 #endif
-#include <stdlib.h>
+
 #include <string.h>
-#include <float.h>
 #include "FunctionList.h"
 
 int TestFunc_Float_UInt(const Func *f, MTdata);