[compiler-rt][builtins][PowerPC] Add ___fixunstfti builtin compiler-rt method support for PowerPC

[amyk]

Summary

This patch implements the __uint128_t __fixunstfti (long double) method for PowerPC -- specifically to convert a long double (IBM double-double) to an unsigned 128 bit integer.

The general approach is to convert the high and low doubles of the long double and add them together; this is done in the simplest case when the high and low doubles fit within 64 bits. However, additional adjustments and scaling is performed when the high or low double does not fit within a 64 bit integer. I was assisted by @masoud.ataei and @renenkel in constructing the algorithm, various implementation details and methods of testing for correctness in regards to this function.

To invoke this method, one can do so by linking against compiler-rt instead of libgcc, via the --rtlib=compiler-rt command line option supplied to clang during the compilation step.

[nemanjai]

compiler-rt/lib/builtins/ppc/fixunstfti.c

20 ↗

(On Diff #175303)

Is this the common practice in compiler-rt for detecting NaN's vs something like isnan()?

27 ↗

(On Diff #175303)

Do we have a different coding guideline for compiler-rt in terms of naming variables?

42 ↗

(On Diff #175303)

s/minusing/subtracting

60 ↗

(On Diff #175303)

Please state what the edge cases are for both of the conditions. It is not at all clear to the reader why we will saturate the value when the exponent in the high double is above 128 and the sign bit isn't set. Similarly for the opposite case where we seem to produce 1.

75 ↗

(On Diff #175303)

This code seems like it's just a repeat of what we do for the bits in the high double above. Can we common this up into a macro?

compiler-rt/test/builtins/Unit/ppc/fixunstfti_test.h

14 ↗

(On Diff #175303)

It might be more readable to define a macro such as:
#define INIT_U128(HI, LO) (((__uint128_t) (HI) << 64) | (LO))

And use that to initialize the 128-bit int values.

[amyk]

compiler-rt/lib/builtins/ppc/fixunstfti.c

20 ↗

(On Diff #175303)

That is true, there is a crt_isnan() that can be used within compiler-rt, so I will use that.

42 ↗

(On Diff #175303)

Comment has been adjusted.

compiler-rt/test/builtins/Unit/ppc/fixunstfti_test.h

14 ↗

(On Diff #175303)

That is a good point; I agree with your suggestion. I will utilize a macro since it also enhances readability.

[masoud.ataei]

compiler-rt/lib/builtins/ppc/fixunstfti.c

23 ↗

(On Diff #175303)

Here we are returning NaN bit pattern for NaN input. It was originally my suggestion but I still don't know if it is good idea. Maybe it is better to remove this if statement and let the rest of algorithm create an output. In fact, any output is junk. (Since there is no NaN in int.)

60 ↗

(On Diff #175303)

when the exponent is >=128 it is overflow. Since this is the conversion to unsigned int128, it will return the max integer when input is positive and it return 1 (as gcc does it).

[amyk]

Updated this patch with:

• Renamed variables
• Utilized compiler-rt specific functions (like NaN)
• Added the long double union structure in the same file as implementation (containing high and low doubles, high and low bit patterns)

[amyk]

This comment was removed by amyk.

[amyk]

Previously uploaded the wrong diff by accident.

Updated revision to fully address:

• Renamed variables
• Added macro to initialize int128
• Macro to group up common code that is used in two cases (high and low cases)
• Added the long double union structure in the same file as implementation (containing high and low doubles, high and low bit patterns)

[echristo]

FWIW once nemanja and Masoud are happy then this can go in.

[renenkel]

In floattitf_test.c and fixunstfti.c,

typedef union {
  long double ld;
  double doublePairs[2]; /* [0] is the high double, [1] is the low double. */
  unsigned long long doubleBitPatterns[2];
} ldStructure;

is confusing. Also, it's a union, not a structure. Clearer would be:

typedef union {
  long double ld;
  double d[2]; /* [0] is the high double, [1] is the low double. */
  unsigned long long ull[2]; /* high and low doubles as 64-bit ints */
} ldUnion;

Make the corresponding changes in the summary section, since DD.h is not being used any more.

[renenkel]

In the summary, we're not using DD.h any more, so that struct code should be changed to the new version.

compiler-rt/lib/builtins/ppc/fixunstfti.c

23 ↗

(On Diff #175303)

I agree that the integer conversion of a NaN should be undefined. If we want to match the meaningless number that gcc produces, we can do that. Or we can do what Masoud did, which was to return the NaN bit pattern. Or we can return anything else. Does the C standard say anything about what such a conversion should produce? Hubert Tong might know that.

compiler-rt/test/builtins/Unit/ppc/fixunstfti_test.h

14 ↗

(On Diff #175303)

I agree.

[renenkel]

I don't understand why you need the if statement in SCALE_DOUBLE. Since you are converting to unsigned int128, I don't know why you cast to (unsigned long long) in one case and (long long) in the other. Check this with Masoud, but I think you can do both the same way.
SCALE_DOUBLE deserves more explanatory comments.
doubleType is confusing. It's not a type. It's either 0 or 1 for the high of low double.
ldStructure doesn't appear in the macro arguments, but is assumed, which is confusing.
I've also changed the union fields according to my other comment.
The name SCALE_DOUBLE is misleading, since, although it does scale, it really converts a double to 64-bit int.
Operand order is inconsistent, the output is one of the middle arguments.
How about this?

// Scale selected double of input ld union to allow conversion to 64-bit int.
// hilo selects the desired double:  0=hi double, 1=lo double.
// exponent = unbiased exponent of selected double.
// result is ld.d[hilo] scaled to have exponent 53, converted to 64-bit int, and shifted to undo scaling.
#define DOUBLE_TO_INT64 (ld, hilo, exponent, result)                             \
  shift = exponent - 54;                                                       \
  ld.ull[hilo] &= 0x800FFFFFFFFFFFFFll;           \
  ld.ull[hilo] |= 0x4350000000000000ll;           \                                                \
  result = (unsigned long long)ld.d[hilo];          \                                                                      \
  result <<= shift;

[amyk]

compiler-rt/lib/builtins/ppc/fixunstfti.c

75 ↗

(On Diff #175303)

I have considered putting the common code into a macro and have previously done so. However, doing so still requires me to place an if-condition inside since the high and low double cases are not exactly identical. Due to this, discussions with Robert has lead to letting the duplicated code stay as it is since the two code segments are not entirely the same.

[amyk]

Updated this patch to address:

• Updated comments that are more descriptive
• Renamed variables
• Removed the macro originally used to group up common code. Since the code that seems duplicated is not entirely identical, the code will remain duplicated as utilizing a macro still requires an if-condition to control the conversion depending if we are converting and high double or a low double

This revision has been tested using Masoud's test harness. There are no changes or errors uncovered in the test harness with this updated revision.

[renenkel]

If you haven't already, need to run Masoud's test program after making your changes.

compiler-rt/test/builtins/Unit/ppc/fixunstfti_test.h

14 ↗

(On Diff #175303)

Minor point - there are places in the conversion routine where INIT_U128 could also be used. (Not essential to change this if you've already run Masoud's tests though.)

compiler-rt/trunk/lib/builtins/CMakeLists.txt

 set(mips64_SOURCES ${GENERIC_TF_SOURCES}
                    ${mips_SOURCES})
 set(mips64el_SOURCES ${GENERIC_TF_SOURCES}
                      ${mips_SOURCES})
 
 set(powerpc64_SOURCES
   ppc/divtc3.c
   ppc/fixtfdi.c
+  ppc/fixunstfti.c
   ppc/fixunstfdi.c
   ppc/floatditf.c
   ppc/floatunditf.c
   ppc/gcc_qadd.c
   ppc/gcc_qdiv.c
   ppc/gcc_qmul.c
   ppc/gcc_qsub.c
   ppc/multc3.c

compiler-rt/trunk/lib/builtins/ppc/fixunstfti.c

+//===-- lib/builtins/ppc/fixunstfti.c - Convert long double->int128 *-C -*-===//
+//
+//                     The LLVM Compiler Infrastructure
+//
+// This file is dual licensed under the MIT and the University of Illinois Open
+// Source Licenses. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
+//
+// This file implements converting the 128bit IBM/PowerPC long double (double-
+// double) data type to an unsigned 128 bit integer.
+//
+//===----------------------------------------------------------------------===//
+
+#include "../int_math.h"
+#define BIAS 1023
+
+/* Convert long double into an unsigned 128-bit integer. */
+__uint128_t __fixunstfti(long double input) {
+
+  /* If we are trying to convert a NaN, return the NaN bit pattern. */
+  if (crt_isnan(input)) {
+    return ((__uint128_t)0x7FF8000000000000ll) << 64 |
+           (__uint128_t)0x0000000000000000ll;
+  }
+
+  __uint128_t result, hiResult, loResult;
+  int hiExponent, loExponent, shift;
+  /* The long double representation, with the high and low portions of
+   * the long double, and the corresponding bit patterns of each double. */
+  union {
+    long double ld;
+    double d[2]; /* [0] is the high double, [1] is the low double. */
+    unsigned long long ull[2]; /* High and low doubles as 64-bit integers. */
+  } ldUnion;
+
+  /* If the long double is less than 1.0 or negative,
+   * return 0.0. */
+  if (input < 1.0)
+    return 0.0;
+
+  /* Retrieve the 64-bit patterns of high and low doubles.
+   * Compute the unbiased exponent of both high and low doubles by
+   * removing the signs, isolating the exponent, and subtracting
+   * the bias from it. */
+  ldUnion.ld = input;
+  hiExponent = ((ldUnion.ull[0] & 0x7FFFFFFFFFFFFFFFll) >> 52) - BIAS;
+  loExponent = ((ldUnion.ull[1] & 0x7FFFFFFFFFFFFFFFll) >> 52) - BIAS;
+
+  /* Convert each double into int64; they will be added to the int128 result.
+   * CASE 1: High or low double fits in int64
+   *      - Convert the each double normally into int64.
+   *
+   * CASE 2: High or low double does not fit in int64
+   *      - Scale the double to fit within a 64-bit integer
+   *      - Calculate the shift (amount to scale the double by in the int128)
+   *      - Clear all the bits of the exponent (with 0x800FFFFFFFFFFFFF)
+   *      - Add BIAS+53 (0x4350000000000000) to exponent to correct the value
+   *      - Scale (move) the double to the correct place in the int128
+   *        (Move it by 2^53 places)
+   *
+   * Note: If the high double is assumed to be positive, an unsigned conversion
+   * from long double to 64-bit integer is needed. The low double can be either
+   * positive or negative, so a signed conversion is needed to retain the result
+   * of the low double and to ensure it does not simply get converted to 0. */
+
+  /* CASE 1 - High double fits in int64. */
+  if (hiExponent < 63) {
+    hiResult = (unsigned long long)ldUnion.d[0];
+  } else if (hiExponent < 128) {
+    /* CASE 2 - High double does not fit in int64, scale and convert it. */
+    shift = hiExponent - 54;
+    ldUnion.ull[0] &= 0x800FFFFFFFFFFFFFll;
+    ldUnion.ull[0] |= 0x4350000000000000ll;
+    hiResult = (unsigned long long)ldUnion.d[0];
+    hiResult <<= shift;
+  } else {
+    /* Detect cases for overflow. When the exponent of the high
+     * double is greater than 128 bits and when the long double
+     * input is positive, return the max 128-bit integer.
+     * For negative inputs with exponents > 128, return 1, like gcc. */
+    if (ldUnion.d[0] > 0) {
+      return ((__uint128_t)0xFFFFFFFFFFFFFFFFll) << 64 |
+             (__uint128_t)0xFFFFFFFFFFFFFFFFll;
+    } else {
+      return ((__uint128_t)0x0000000000000000ll) << 64 |
+             (__uint128_t)0x0000000000000001ll;
+    }
+  }
+
+  /* CASE 1 - Low double fits in int64. */
+  if (loExponent < 63) {
+    loResult = (long long)ldUnion.d[1];
+  } else {
+    /* CASE 2 - Low double does not fit in int64, scale and convert it. */
+    shift = loExponent - 54;
+    ldUnion.ull[1] &= 0x800FFFFFFFFFFFFFll;
+    ldUnion.ull[1] |= 0x4350000000000000ll;
+    loResult = (long long)ldUnion.d[1];
+    loResult <<= shift;
+  }
+
+  /* Add the high and low doublewords together to form a 128 bit integer. */
+  result = loResult + hiResult;
+  return result;
+}

compiler-rt/trunk/test/builtins/Unit/ppc/fixunstfti_test.h

+/*
+* Test case inputs for: __uint128_t __fixunstfti (long double)
+* Conversion from long double (IBM double-double) to 128 bit integer.
+*/
+
+#define INFINITY __builtin_inf()
+#define QNAN __builtin_nan("")
+#define INIT_U128(HI, LO) (((__uint128_t) (HI) << 64) | (LO))
+
+struct testCase {
+  double hiInput;
+  double loInput;
+  __uint128_t result128;
+};
+
+struct testCase testList[] = {
+  { 0x0p+0, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { -0x0p+0, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { -0x0p+0, -0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x0p+0, -0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { -0x1p+0, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1p+0, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000001 ) },
+  { -INFINITY, 0x0p+0, ((__uint128_t)0x0000000000000000 << 64) | 0x0000000000000000 },
+  { INFINITY, 0x0p+0, ((__uint128_t)0xffffffffffffffff << 64) | 0xffffffffffffffff },
+  { QNAN, 0x0p+0, ((__uint128_t)0x7ff8000000000000 << 64) | 0x0000000000000000 },
+  { -QNAN, 0x0p+0, ((__uint128_t)0x7ff8000000000000 << 64) | 0x0000000000000000 },
+  { -0x1p+127, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1p+127, -0x1p+0, INIT_U128( 0x7fffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1p+0, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000001 ) },
+  { 0x1p+60, 0x0p+0, INIT_U128( 0x0000000000000000, 0x1000000000000000 ) },
+  { 0x1p+64, -0x1p+0, INIT_U128( 0x0000000000000000, 0xffffffffffffffff ) },
+  { 0x1p+63, -0x1p+0, INIT_U128( 0x0000000000000000, 0x7fffffffffffffff ) },
+  { 0x1p+64, 0x0p+0, INIT_U128( 0x0000000000000001, 0x0000000000000000 ) },
+  { 0x1p+64, 0x1p+0, INIT_U128( 0x0000000000000001, 0x0000000000000001 ) },
+  { 0x1.8p+64, -0x1p+0, INIT_U128( 0x0000000000000001, 0x7fffffffffffffff ) },
+  { 0x1.1p+64, 0x0p+0, INIT_U128( 0x0000000000000001, 0x1000000000000000 ) },
+  { 0x1p+65, -0x1p+0, INIT_U128( 0x0000000000000001, 0xffffffffffffffff ) },
+  { 0x1p+127, -0x1p+64, INIT_U128( 0x7fffffffffffffff, 0x0000000000000000 ) },
+  { 0x1p+127, -0x1.ep+64, INIT_U128( 0x7ffffffffffffffe, 0x2000000000000000 ) },
+  { 0x1p+127, -0x1p+63, INIT_U128( 0x7fffffffffffffff, 0x8000000000000000 ) },
+  { 0x1p+124, 0x0p+0, INIT_U128( 0x1000000000000000, 0x0000000000000000 ) },
+  { 0x1p+124, 0x1p+0, INIT_U128( 0x1000000000000000, 0x0000000000000001 ) },
+  { 0x1p+124, 0x1p+63, INIT_U128( 0x1000000000000000, 0x8000000000000000 ) },
+  { 0x1p+124, 0x1p+64, INIT_U128( 0x1000000000000001, 0x0000000000000000 ) },
+  { -0x1p+64, 0x0p+0, INIT_U128( 0x00000000000000000, 0x0000000000000000 ) },
+  { 0x1.84p+70, 0x1.84p+6, INIT_U128( 0x0000000000000061, 0x0000000000000061 ) },
+  { 0x1.5cp+6, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000057 ) },
+  { 0x1p+64, -0x1.88p+6, INIT_U128( 0x0000000000000000, 0xffffffffffffff9e ) },
+  { 0x1.88p+6, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000062 ) },
+  { 0x1.00cp+10, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000403 ) },
+  { 0x1.fffffffffffffp+63, 0x1.fep+9, INIT_U128( 0x0000000000000000, 0xfffffffffffffbfc ) },
+  { 0x1.028p+10, 0x0p+0, INIT_U128( 0x0000000000000000, 0x000000000000040a ) },
+  { 0x1.44p+10, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000510 ) },
+  { 0x1.fffffffffffffp+63, 0x1.738p+9, INIT_U128( 0x0000000000000000, 0xfffffffffffffae7 ) },
+  { 0x1.808p+10, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000602 ) },
+  { 0x1.fffffffffffffp+63, 0x1.fdp+8, INIT_U128( 0x0000000000000000, 0xfffffffffffff9fd ) },
+  { 0x1.048p+13, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000002090 ) },
+  { 0x1.ffffffffffffbp+63, 0x1.ed8p+9, INIT_U128( 0x0000000000000000, 0xffffffffffffdbdb ) },
+  { 0x1.0101p+17, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000020202 ) },
+  { 0x1.fffffffffffbep+63, -0x1.09p+8, INIT_U128( 0x0000000000000000, 0xfffffffffffdeef7 ) },
+  { 0x1.9002p+17, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000032004 ) },
+  { 0x1.fffffffffff9cp+63, -0x1.4p+2, INIT_U128( 0x0000000000000000, 0xfffffffffffcdffb ) },
+  { 0x1.902p+17, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000032040 ) },
+  { 0x1.ffffffffff7fcp+63, -0x1.14p+6, INIT_U128( 0x0000000000000000, 0xffffffffffbfdfbb ) },
+  { 0x1.00822p+22, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000402088 ) },
+  { 0x1.0010011p+31, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000080080088 ) },
+  { 0x1.0a000001p+35, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000850000008 ) },
+  { 0x1.000000224p+37, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000002000000448 ) },
+  { 0x1.ffffffbffefb8p+63, -0x1p+0, INIT_U128( 0x0000000000000000, 0xffffffdfff7dbfff ) },
+  { 0x1.00080044p+102, 0x1.00080044p+38, INIT_U128( 0x0000004002001100, 0x0000004002001100 ) },
+  { 0x1.00400000018p+107, 0x1.00400000018p+43, INIT_U128( 0x000008020000000c, 0x000008020000000c ) },
+  { 0x1.ffffeffcp+63, -0x1.ap+3, INIT_U128( 0x0000000000000000, 0xfffff7fdfffffff3 ) },
+  { 0x1.000000001048p+47, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000800000000824 ) },
+  { 0x1.fffbffffffp+63, -0x1.808p+9, INIT_U128( 0x0000000000000000, 0xfffdffffff7ffcff ) },
+  { 0x1.000810004p+62, 0x0p+0, INIT_U128( 0x0000000000000000, 0x4002040010000000 ) },
+  { 0x1.7ffbf7ffep+63, -0x1p+0, INIT_U128( 0x0000000000000000, 0xbffdfbffefffffff ) },
+  { 0x1p+63, 0x0p+0, INIT_U128( 0x0000000000000000, 0x8000000000000000 ) },
+  { 0x1.ffffffffe8319p+63, -0x1.1f8p+9, INIT_U128( 0x0000000000000000, 0xfffffffff418c5c1 ) },
+  { 0x1p+68, -0x1p+0, INIT_U128( 0x000000000000000f, 0xffffffffffffffff ) },
+  { 0x1p+72, -0x1p+0, INIT_U128( 0x00000000000000ff, 0xffffffffffffffff ) },
+  { 0x1p+76, -0x1p+0, INIT_U128( 0x0000000000000fff, 0xffffffffffffffff ) },
+  { 0x1p+80, -0x1p+0, INIT_U128( 0x000000000000ffff, 0xffffffffffffffff ) },
+  { 0x1p+84, -0x1p+0, INIT_U128( 0x00000000000fffff, 0xffffffffffffffff ) },
+  { 0x1p+88, -0x1p+0, INIT_U128( 0x0000000000ffffff, 0xffffffffffffffff ) },
+  { 0x1p+92, -0x1p+0, INIT_U128( 0x000000000fffffff, 0xffffffffffffffff ) },
+  { 0x1p+96, -0x1p+0, INIT_U128( 0x00000000ffffffff, 0xffffffffffffffff ) },
+  { 0x1p+100, -0x1p+0, INIT_U128( 0x0000000fffffffff, 0xffffffffffffffff ) },
+  { 0x1p+104, -0x1p+0, INIT_U128( 0x000000ffffffffff, 0xffffffffffffffff ) },
+  { 0x1p+108, -0x1p+0, INIT_U128( 0x00000fffffffffff, 0xffffffffffffffff ) },
+  { 0x1p+112, -0x1p+0, INIT_U128( 0x0000ffffffffffff, 0xffffffffffffffff ) },
+  { 0x1p+116, -0x1p+0, INIT_U128( 0x000fffffffffffff, 0xffffffffffffffff ) },
+  { 0x1p+120, -0x1p+0, INIT_U128( 0x00ffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1p+124, -0x1p+0, INIT_U128( 0x0fffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1p+124, 0x0p+0, INIT_U128( 0x1000000000000000, 0x0000000000000000 ) },
+  { 0x1p+124, 0x1.1p+4, INIT_U128( 0x1000000000000000, 0x0000000000000011 ) },
+  { 0x1p+124, 0x1.11p+8, INIT_U128( 0x1000000000000000, 0x0000000000000111 ) },
+  { 0x1p+124, 0x1.111p+12, INIT_U128( 0x1000000000000000, 0x0000000000001111 ) },
+  { 0x1p+124, 0x1.1111p+16, INIT_U128( 0x1000000000000000, 0x0000000000011111 ) },
+  { 0x1p+124, 0x1.11111p+20, INIT_U128( 0x1000000000000000, 0x0000000000111111 ) },
+  { 0x1p+124, 0x1.111111p+24, INIT_U128( 0x1000000000000000, 0x0000000001111111 ) },
+  { 0x1p+124, 0x1.1111111p+28, INIT_U128( 0x1000000000000000, 0x0000000011111111 ) },
+  { 0x1p+124, 0x1.11111111p+32, INIT_U128( 0x1000000000000000, 0x0000000111111111 ) },
+  { 0x1p+124, 0x1.111111111p+36, INIT_U128( 0x1000000000000000, 0x0000001111111111 ) },
+  { 0x1p+124, 0x1.1111111111p+40, INIT_U128( 0x1000000000000000, 0x0000011111111111 ) },
+  { 0x1p+124, 0x1.11111111111p+44, INIT_U128( 0x1000000000000000, 0x0000111111111111 ) },
+  { 0x1p+124, 0x1.111111111111p+48, INIT_U128( 0x1000000000000000, 0x0001111111111111 ) },
+  { 0x1p+124, 0x1.1111111111111p+52, INIT_U128( 0x1000000000000000, 0x0011111111111111 ) },
+  { 0x1p+124, 0x1.11111111111111p+56, INIT_U128( 0x1000000000000000, 0x0111111111111110 ) },
+  { 0x1p+124, 0x1.111111111111111p+60, INIT_U128( 0x1000000000000000, 0x1111111111111100 ) },
+  { 0x1.6ffffffefp+63, -0x1p+0, INIT_U128( 0x0000000000000000, 0xb7ffffff77ffffff ) },
+  { 0x1p+106, 0x0p+0, INIT_U128( 0x0000040000000000, 0x0000000000000000 ) },
+  { 0x1.ff8p+29, 0x0p+0, INIT_U128( 0x0000000000000000, 0x000000003ff00000 ) },
+  { 0x1.6ff7ffffffffcp+63, -0x1p+0, INIT_U128( 0x0000000000000000, 0xb7fbffffffffdfff ) },
+  { 0x1.2400000000004p+62, 0x0p+0, INIT_U128( 0x0000000000000000, 0x4900000000001000 ) },
+  { 0x1.24000000001p+126, 0x1.24000000001p+62, INIT_U128( 0x4900000000040000, 0x4900000000040000 ) },
+  { 0x1.2400001p+126, 0x1.2400001p+62, INIT_U128( 0x4900000400000000, 0x4900000400000000 ) },
+  { 0x1.240001p+126, 0x1.240001p+62, INIT_U128( 0x4900004000000000, 0x4900004000000000 ) },
+  { 0x1.24001p+126, 0x1.24001p+62, INIT_U128( 0x4900040000000000, 0x4900040000000000 ) },
+  { 0x1.24008p+126, 0x1.24008p+62, INIT_U128( 0x4900200000000000, 0x4900200000000000 ) },
+  { 0x1.2404p+126, 0x1.2404p+62, INIT_U128( 0x4901000000000000, 0x4901000000000000 ) },
+  { 0x1.244p+126, 0x1.244p+62, INIT_U128( 0x4910000000000000, 0x4910000000000000 ) },
+  { 0x1.26p+126, 0x1.26p+62, INIT_U128( 0x4980000000000000, 0x4980000000000000 ) },
+  { 0x1.3p+126, 0x1.3p+62, INIT_U128( 0x4c00000000000000, 0x4c00000000000000 ) },
+  { 0x1.800000000001p+126, 0x1.6000000000004p+64, INIT_U128( 0x6000000000004001, 0x6000000000004000 ) },
+  { 0x1.cp+126, 0x1.00ep+71, INIT_U128( 0x7000000000000080, 0x7000000000000000 ) },
+  { 0x1.c000000000008p+126, 0x1.c000000000008p+62, INIT_U128( 0x7000000000002000, 0x7000000000002000 ) },
+  { 0x1.c00000000004p+126, 0x1.c00000000004p+62, INIT_U128( 0x7000000000010000, 0x7000000000010000 ) },
+  { 0x1.c0000000002p+126, 0x1.c0000000002p+62, INIT_U128( 0x7000000000080000, 0x7000000000080000 ) },
+  { 0x1.c000000002p+126, 0x1.c000000002p+62, INIT_U128( 0x7000000000800000, 0x7000000000800000 ) },
+  { 0x1.c00000002p+126, 0x1.c00000002p+62, INIT_U128( 0x7000000008000000, 0x7000000008000000 ) },
+  { 0x1.c0000008p+126, 0x1.c0000008p+62, INIT_U128( 0x7000000200000000, 0x7000000200000000 ) },
+  { 0x1.c000002p+126, 0x1.c000002p+62, INIT_U128( 0x7000000800000000, 0x7000000800000000 ) },
+  { 0x1.c00004p+126, 0x1.c00004p+62, INIT_U128( 0x7000010000000000, 0x7000010000000000 ) },
+  { 0x1.c0002p+126, 0x1.c0002p+62, INIT_U128( 0x7000080000000000, 0x7000080000000000 ) },
+  { 0x1.c008p+126, 0x1.c008p+62, INIT_U128( 0x7002000000000000, 0x7002000000000000 ) },
+  { 0x1.c02p+126, 0x1.c02p+62, INIT_U128( 0x7008000000000000, 0x7008000000000000 ) },
+  { 0x1.c2p+126, 0x1.c2p+62, INIT_U128( 0x7080000000000000, 0x7080000000000000 ) },
+  { 0x1.dp+126, 0x1.dp+62, INIT_U128( 0x7400000000000000, 0x7400000000000000 ) },
+  { 0x1.80be0cccccccdp+63, 0x1.80bc266666666p+63, INIT_U128( 0x0000000000000001, 0x80bd199999999800 ) },
+  { 0x1.017c19999999ap+62, 0x1.01784cccccccdp+62, INIT_U128( 0x0000000000000000, 0x80bd199999999c00 ) },
+  { 0x1.80be0cccccccdp+63, 0x1.01784cccccccdp+62, INIT_U128( 0x0000000000000001, 0x00bd199999999c00 ) },
+  { 0x1.88a1831790ce8p+63, 0x1.1143062f219d8p+62, INIT_U128( 0x0000000000000001, 0x08a1831790cea000 ) },
+  { 0x1.1143062f219dp+62, 0x1.88a1831790cecp+63, INIT_U128( 0x0000000000000001, 0x08a1831790cea000 ) },
+  { 0x1.88a1831790ce8p+63, 0x1.88a1831790cecp+63, INIT_U128( 0x0000000000000001, 0x88a1831790cea000 ) },
+  { 0x1.00014f3089001p+64, 0x1.e133333333333p+6, INIT_U128( 0x0000000000000001, 0x00014f3089001078 ) },
+  { 0x1.fffffffffffffp+127, 0x1p+75, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1.fffffffffffffp+127, 0x1.fffffffffffffp+74, INIT_U128( 0xFFFFFFFFFFFFFFFF, 0xFFFFFFFFFFC00000 ) },
+  { 0x1.f066666666666p+6, -0x1.f066666666667p-768, INIT_U128( 0x0000000000000000, 0x000000000000007C ) },
+  { 0x1.f066666666666p+6, 0x1.f066666666667p-768, INIT_U128( 0x0000000000000000, 0x000000000000007C ) },
+  { 0x1.1111111111111p+124, 0x1.1p+68, INIT_U128( 0x1111111111111111, 0x0000000000000000 ) },
+  { 0x0.0000000000001p-1022, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x0.0000001160e9fp-1022, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x0.0000001a26f3cp-1022, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { -0x0.0000001134f35p-1022, -0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x0.00003f9eec3ep-1022, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x0.0a40bec0e4818p-1022, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x0.0d4e1fcc5a9c4p-1022, 0x0p+0, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1.acf5f5ef59ebfp-1007, 0x0.00000000000a8p-1022, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1.1f45384e3e8a7p-1007, 0x0.00000000000b4p-1022, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1.8474983f08e93p-1007, 0x0.00000000000d9p-1022, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1.47ad6cf88f5aep-1007, 0x0.00000000000bcp-1022, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1.2da4480a5b489p-1, 0x1.9e20ea6f3c41dp-618, INIT_U128( 0x0000000000000000, 0x0000000000000000 ) },
+  { 0x1.438fba0a871f8p+0, 0x1.086e1f6e10dc4p-992, INIT_U128( 0x0000000000000000, 0x0000000000000001 ) },
+  { 0x1.51c874cca390ep+0, 0x1.5dd30576bba6p-992, INIT_U128( 0x0000000000000000, 0x0000000000000001 ) },
+  { 0x1.3691a8086d235p+1, 0x1.3670ebb66ce1ep-281, INIT_U128( 0x0000000000000000, 0x0000000000000002 ) },
+  { 0x1.b800c73570019p+1, 0x1.1bf9094c37f21p-281, INIT_U128( 0x0000000000000000, 0x0000000000000003 ) },
+  { 0x1.c1e89f3783d14p+1, 0x1.69999266d3332p-281, INIT_U128( 0x0000000000000000, 0x0000000000000003 ) },
+  { 0x1.390b19fa72163p+1, 0x1.25bf7f6c4b7fp-281, INIT_U128( 0x0000000000000000, 0x0000000000000002 ) },
+  { 0x1.4beee12897ddcp+2, 0x1.549d853aa93bp-815, INIT_U128( 0x0000000000000000, 0x0000000000000005 ) },
+  { 0x1.e37742bfc6ee9p+2, 0x1.081a6dda1034ep-815, INIT_U128( 0x0000000000000000, 0x0000000000000007 ) },
+  { 0x1.e6c0b50fcd816p+2, 0x1.c3d7967b87af3p-815, INIT_U128( 0x0000000000000000, 0x0000000000000007 ) },
+  { 0x1.590290feb2052p+2, 0x1.07756f600eeaep-815, INIT_U128( 0x0000000000000000, 0x0000000000000005 ) },
+  { 0x1.66154348cc2a8p+3, 0x1.bb93d1a97727ap-619, INIT_U128( 0x0000000000000000, 0x000000000000000b ) },
+  { 0x1.69cf9e9ed39f4p+3, 0x1.ce842e739d086p-619, INIT_U128( 0x0000000000000000, 0x000000000000000b ) },
+  { 0x1.e884574bd108bp+3, 0x1.9c6561f338cacp-619, INIT_U128( 0x0000000000000000, 0x000000000000000f ) },
+  { 0x1.6263a430c4c74p+4, 0x1.6b327792d664fp-117, INIT_U128( 0x0000000000000000, 0x0000000000000016 ) },
+  { 0x1.43637d1286c7p+4, 0x1.546df60aa8dbfp-117, INIT_U128( 0x0000000000000000, 0x0000000000000014 ) },
+  { 0x1.faa21259f5443p+4, 0x1.b6708ecf6ce12p-117, INIT_U128( 0x0000000000000000, 0x000000000000001f ) },
+  { 0x1.fd3105d1fa62p+4, 0x1.370912046e122p-117, INIT_U128( 0x0000000000000000, 0x000000000000001f ) },
+  { 0x1.cf952d399f2a5p+5, 0x1.0d283ebe1a508p-735, INIT_U128( 0x0000000000000000, 0x0000000000000039 ) },
+  { 0x1.6ac8f880d591fp+5, 0x1.ec284da5d8509p-735, INIT_U128( 0x0000000000000000, 0x000000000000002d ) },
+  { 0x1.919c82bf2339p+5, 0x1.a58971fd4b12ep-735, INIT_U128( 0x0000000000000000, 0x0000000000000032 ) },
+  { 0x1.789a89ccf1351p+5, 0x1.ebd48283d7a91p-735, INIT_U128( 0x0000000000000000, 0x000000000000002f ) },
+  { 0x1.8db2068d1b641p+6, 0x1.056174ca0ac2ep-802, INIT_U128( 0x0000000000000000, 0x0000000000000063 ) },
+  { 0x1.8d618e6f1ac32p+6, 0x1.0643da660c87cp-802, INIT_U128( 0x0000000000000000, 0x0000000000000063 ) },
+  { 0x1.f10fc45fe21f8p+6, 0x1.d71f2d6bae3e5p-802, INIT_U128( 0x0000000000000000, 0x000000000000007c ) },
+  { 0x1.1cafcb76395fap+8, 0x1.026dfe9a04dcp-78, INIT_U128( 0x0000000000000000, 0x000000000000011c ) },
+  { 0x1.8b9a3b5917348p+8, 0x1.f64ef081ec9dep-78, INIT_U128( 0x0000000000000000, 0x000000000000018b ) },
+  { 0x1.347ea22c68fd4p+8, 0x1.a86c77e750d8fp-78, INIT_U128( 0x0000000000000000, 0x0000000000000134 ) },
+  { 0x1.c498c82389319p+8, 0x1.0d4d96061a9b3p-78, INIT_U128( 0x0000000000000000, 0x00000000000001c4 ) },
+  { 0x1.3e4fa8b47c9f5p+9, 0x1.d0718139a0e3p-293, INIT_U128( 0x0000000000000000, 0x000000000000027c ) },
+  { 0x1.5ffd3878bffa7p+9, 0x1.1828a29c30514p-293, INIT_U128( 0x0000000000000000, 0x00000000000002bf ) },
+  { 0x1.bbbb3b8577768p+9, 0x1.ba79b21b74f36p-293, INIT_U128( 0x0000000000000000, 0x0000000000000377 ) },
+  { 0x1.8777cb810eefap+9, 0x1.bb3afdc57676p-293, INIT_U128( 0x0000000000000000, 0x000000000000030e ) },
+  { 0x1.8e7992a11cf32p+10, 0x1.a18e4033431c8p-789, INIT_U128( 0x0000000000000000, 0x0000000000000639 ) },
+  { 0x1.7684faeced0ap+10, 0x1.5f11706abe22ep-789, INIT_U128( 0x0000000000000000, 0x00000000000005da ) },
+  { 0x1.7d7ac11afaf58p+10, 0x1.64553beec8aa8p-789, INIT_U128( 0x0000000000000000, 0x00000000000005f5 ) },
+  { 0x1.a540fa454a81fp+10, 0x1.329efbd6653ep-789, INIT_U128( 0x0000000000000000, 0x0000000000000695 ) },
+  { 0x1.92ed812325dbp+11, 0x0.000012eafc716p-1022, INIT_U128( 0x0000000000000000, 0x0000000000000c97 ) },
+  { 0x1.b10abb4562158p+11, 0x0.00001e4765564p-1022, INIT_U128( 0x0000000000000000, 0x0000000000000d88 ) },
+  { 0x1.f6751879ecea3p+11, 0x0.000014435b4b9p-1022, INIT_U128( 0x0000000000000000, 0x0000000000000fb3 ) },
+  { 0x1.32e6b0a465cd6p+11, 0x0.00001729d5c09p-1022, INIT_U128( 0x0000000000000000, 0x0000000000000997 ) },
+  { 0x1.11f336c623e67p+12, 0x1.9d9af61f3b35fp-489, INIT_U128( 0x0000000000000000, 0x000000000000111f ) },
+  { 0x1.18ebab5631d76p+12, 0x1.47d8de9e8fb1cp-489, INIT_U128( 0x0000000000000000, 0x000000000000118e ) },
+  { 0x1.c25a29f984b45p+12, 0x1.c65b51e78cb6ap-489, INIT_U128( 0x0000000000000000, 0x0000000000001c25 ) },
+  { 0x1.cf37f3299e6ffp+12, 0x1.38601ed270c04p-489, INIT_U128( 0x0000000000000000, 0x0000000000001cf3 ) },
+  { 0x1.00db141c01b62p+13, 0x1.a4ea801149d5p-963, INIT_U128( 0x0000000000000000, 0x000000000000201b ) },
+  { 0x1.b81f3643703e7p+13, 0x1.849a11a509342p-963, INIT_U128( 0x0000000000000000, 0x0000000000003703 ) },
+  { 0x1.6dbbb6a4db777p+13, 0x1.362f46546c5e9p-963, INIT_U128( 0x0000000000000000, 0x0000000000002db7 ) },
+  { 0x1.eeb645abdd6c8p+13, 0x1.1edee6683dbddp-963, INIT_U128( 0x0000000000000000, 0x0000000000003dd6 ) },
+  { 0x1.dc7ac6d3b8f59p+14, 0x1.3a4d2846749a5p-96, INIT_U128( 0x0000000000000000, 0x000000000000771e ) },
+  { 0x1.51b38df4a3672p+14, 0x1.ef5f5533debeap-96, INIT_U128( 0x0000000000000000, 0x000000000000546c ) },
+  { 0x1.5cdcee10b9b9ep+14, 0x1.dd44c049ba898p-96, INIT_U128( 0x0000000000000000, 0x0000000000005737 ) },
+  { 0x1.f5266d45ea4cdp+14, 0x1.3970615e72e0cp-96, INIT_U128( 0x0000000000000000, 0x0000000000007d49 ) },
+  { 0x1.2ab9252a55724p+15, 0x1.a85ba3d950b74p-690, INIT_U128( 0x0000000000000000, 0x000000000000955c ) },
+  { 0x1.707a4edee0f4ap+15, 0x1.00541f2800a84p-690, INIT_U128( 0x0000000000000000, 0x000000000000b83d ) },
+  { 0x1.594c6252b298cp+15, 0x1.837b6c0706f6ep-690, INIT_U128( 0x0000000000000000, 0x000000000000aca6 ) },
+  { 0x1.41fad8e683f5bp+15, 0x1.7cb3a2bef9674p-690, INIT_U128( 0x0000000000000000, 0x000000000000a0fd ) },
+  { 0x1.f150e9b3e2a1dp+16, 0x1.155a86a62ab51p-762, INIT_U128( 0x0000000000000000, 0x000000000001f150 ) },
+  { 0x1.0a3ca44214794p+16, 0x1.5c85e07eb90bcp-762, INIT_U128( 0x0000000000000000, 0x0000000000010a3c ) },
+  { 0x1.0ef4814e1de9p+16, 0x1.2cd0510659a0ap-762, INIT_U128( 0x0000000000000000, 0x0000000000010ef4 ) },
+  { 0x1.99373a97326e7p+16, 0x1.98d239d731a47p-762, INIT_U128( 0x0000000000000000, 0x0000000000019937 ) },
+  { 0x1.0062da5400c5cp+17, 0x1.12b3124825662p-940, INIT_U128( 0x0000000000000000, 0x00000000000200c5 ) },
+  { 0x1.8ac0f0251581ep+17, 0x1.60b254d0c164ap-940, INIT_U128( 0x0000000000000000, 0x0000000000031581 ) },
+  { 0x1.51c0eb94a381ep+17, 0x1.ce1da4059c3b4p-940, INIT_U128( 0x0000000000000000, 0x000000000002a381 ) },
+  { 0x1.5e83e6a4bd07dp+17, 0x1.adcff7815b9ffp-940, INIT_U128( 0x0000000000000000, 0x000000000002bd07 ) },
+  { 0x1.242e55bc485cap+18, 0x0.000000000001fp-1022, INIT_U128( 0x0000000000000000, 0x00000000000490b9 ) },
+  { 0x1.7d59ac2cfab36p+18, 0x0.000000000001p-1022, INIT_U128( 0x0000000000000000, 0x000000000005f566 ) },
+  { 0x1.d19e6101a33ccp+18, 0x0.0000000000014p-1022, INIT_U128( 0x0000000000000000, 0x0000000000074679 ) },
+  { 0x1.34c9981869933p+18, 0x0.0000000000011p-1022, INIT_U128( 0x0000000000000000, 0x000000000004d326 ) },
+  { 0x1.c066e34f80cddp+19, 0x1.e3f363b5c7e6dp-881, INIT_U128( 0x0000000000000000, 0x00000000000e0337 ) },
+  { 0x1.df32bc2fbe658p+19, 0x1.df947163bf28ep-881, INIT_U128( 0x0000000000000000, 0x00000000000ef995 ) },
+  { 0x1.3bbc859e7779p+19, 0x1.0773506c0ee6ap-881, INIT_U128( 0x0000000000000000, 0x000000000009dde4 ) },
+  { 0x1.3b65fdae76ccp+19, 0x1.36924fde6d24ap-881, INIT_U128( 0x0000000000000000, 0x000000000009db2f ) },
+  { 0x1.52c7a810a58f5p+20, 0x1.a11a939f42352p-561, INIT_U128( 0x0000000000000000, 0x0000000000152c7a ) },
+  { 0x1.9546ee252a8dep+20, 0x1.eeb4a28ddd695p-561, INIT_U128( 0x0000000000000000, 0x000000000019546e ) },
+  { 0x1.f50465bdea08cp+20, 0x1.7288f4c2e511ep-561, INIT_U128( 0x0000000000000000, 0x00000000001f5046 ) },
+  { 0x1.b8199d2770334p+20, 0x1.a2d4ddfb45a9cp-561, INIT_U128( 0x0000000000000000, 0x00000000001b8199 ) },
+  { 0x1.efe67d0fdfccfp+21, 0x1.05ac37920b587p-121, INIT_U128( 0x0000000000000000, 0x00000000003dfccf ) },
+  { 0x1.a1c8a86343915p+21, 0x1.ff7f144bfefe2p-121, INIT_U128( 0x0000000000000000, 0x0000000000343915 ) },
+  { 0x1.0b3b76001676fp+21, 0x1.742fba58e85f8p-121, INIT_U128( 0x0000000000000000, 0x000000000021676e ) },
+  { 0x1.cb12f6579625fp+21, 0x1.5e77e020bcefcp-121, INIT_U128( 0x0000000000000000, 0x000000000039625e ) },
+  { 0x1.bd380f437a702p+22, 0x1.491fe5e8923fcp-995, INIT_U128( 0x0000000000000000, 0x00000000006f4e03 ) },
+  { 0x1.46fbb89c8df77p+22, 0x1.a09fc8f7413f9p-995, INIT_U128( 0x0000000000000000, 0x000000000051beee ) },
+  { 0x1.17e871f42fd0ep+22, 0x1.a11fc1a7423f8p-995, INIT_U128( 0x0000000000000000, 0x000000000045fa1c ) },
+  { 0x1.277e999a4efd3p+22, 0x1.4bd3e11097a7cp-995, INIT_U128( 0x0000000000000000, 0x000000000049dfa6 ) },
+  { 0x1.6e4d3250dc9a6p+23, 0x1.edf09145dbe12p-447, INIT_U128( 0x0000000000000000, 0x0000000000b72699 ) },
+  { 0x1.eb0413bfd6083p+23, 0x1.29c840b053908p-447, INIT_U128( 0x0000000000000000, 0x0000000000f58209 ) },
+  { 0x1.283f1d32507e4p+23, 0x1.06daa0fe0db54p-447, INIT_U128( 0x0000000000000000, 0x0000000000941f8e ) },
+  { 0x1.cf7790bd9eef2p+23, 0x1.22ebe99845d7dp-447, INIT_U128( 0x0000000000000000, 0x0000000000e7bbc8 ) },
+  { 0x1.39fb1e1473f64p+24, 0x1.baafa729755f5p-263, INIT_U128( 0x0000000000000000, 0x000000000139fb1e ) },
+  { 0x1.553510f0aa6a2p+24, 0x1.806a3d5d00d48p-263, INIT_U128( 0x0000000000000000, 0x0000000001553510 ) },
+  { 0x1.876715390ece3p+24, 0x1.cdf668119becdp-263, INIT_U128( 0x0000000000000000, 0x0000000001876715 ) },
+  { 0x1.11816ac62302ep+24, 0x1.5e8451ecbd08ap-263, INIT_U128( 0x0000000000000000, 0x000000000111816a ) },
+  { 0x1.3e7e811e7cfdp+25, 0x1.2dc6a5685b8d4p-155, INIT_U128( 0x0000000000000000, 0x00000000027cfd02 ) },
+  { 0x1.6ebc2c8cdd786p+25, 0x1.22f38cd645e72p-155, INIT_U128( 0x0000000000000000, 0x0000000002dd7859 ) },
+  { 0x1.421ccf068439ap+25, 0x1.bef8b6f57df17p-155, INIT_U128( 0x0000000000000000, 0x000000000284399e ) },
+  { 0x1.e10ee555c21dcp+25, 0x1.033cdd7a0679cp-155, INIT_U128( 0x0000000000000000, 0x0000000003c21dca ) },
+  { 0x1.f0b6e7ede16ddp+26, 0x1.bc0a81517815p-634, INIT_U128( 0x0000000000000000, 0x0000000007c2db9f ) },
+  { 0x1.f7b66dc5ef6cdp+26, 0x1.2bd3184a57a63p-634, INIT_U128( 0x0000000000000000, 0x0000000007ded9b7 ) },
+  { 0x1.259706244b2e1p+26, 0x1.8b7dd07716fbap-634, INIT_U128( 0x0000000000000000, 0x0000000004965c18 ) },
+  { 0x1.fdf5519ffbeaap+26, 0x1.19d4925433a92p-634, INIT_U128( 0x0000000000000000, 0x0000000007f7d546 ) },
+  { 0x1.bb13b1d776276p+27, 0x1.e509cb23ca13ap-395, INIT_U128( 0x0000000000000000, 0x000000000dd89d8e ) },
+  { 0x1.20754b2a40eaap+27, 0x1.bcc8cd6b7991ap-395, INIT_U128( 0x0000000000000000, 0x000000000903aa59 ) },
+  { 0x1.dc036999b806dp+27, 0x1.62b438eec5687p-395, INIT_U128( 0x0000000000000000, 0x000000000ee01b4c ) },
+  { 0x1.92b76e3d256eep+27, 0x1.33f6413067ec8p-395, INIT_U128( 0x0000000000000000, 0x000000000c95bb71 ) },
+  { 0x1.7a6c4408f4d88p+28, 0x1.0f6d05b41edap-716, INIT_U128( 0x0000000000000000, 0x0000000017a6c440 ) },
+  { 0x1.25d2c9ae4ba59p+28, 0x1.005f5a6a00becp-716, INIT_U128( 0x0000000000000000, 0x00000000125d2c9a ) },
+  { 0x1.c8949d0b91293p+28, 0x1.6e7ca504dcf94p-716, INIT_U128( 0x0000000000000000, 0x000000001c8949d0 ) },
+  { 0x1.21af1f7a435e4p+28, 0x1.98e05ef731c0cp-716, INIT_U128( 0x0000000000000000, 0x00000000121af1f7 ) },
+  { 0x1.307b63f060f6cp+29, 0x1.17d4949a2fa92p-112, INIT_U128( 0x0000000000000000, 0x00000000260f6c7e ) },
+  { 0x1.053d62740a7acp+29, 0x1.a8881e6551104p-112, INIT_U128( 0x0000000000000000, 0x0000000020a7ac4e ) },
+  { 0x1.9b60d35b36c1ap+29, 0x1.005bb09600b76p-112, INIT_U128( 0x0000000000000000, 0x00000000336c1a6b ) },
+  { 0x1.3ba73afe774e8p+29, 0x1.0efca74e1df95p-112, INIT_U128( 0x0000000000000000, 0x000000002774e75f ) },
+  { 0x1.dd796675baf2dp+30, 0x1.aaba00775574p-990, INIT_U128( 0x0000000000000000, 0x00000000775e599d ) },
+  { 0x1.8b282c8d16506p+30, 0x1.4e04f8449c09fp-990, INIT_U128( 0x0000000000000000, 0x0000000062ca0b23 ) },
+  { 0x1.7d6ab930fad57p+30, 0x1.764a6e3cec94ep-990, INIT_U128( 0x0000000000000000, 0x000000005f5aae4c ) },
+  { 0x1.6906027cd20cp+30, 0x1.d5b4ef4dab69ep-990, INIT_U128( 0x0000000000000000, 0x000000005a41809f ) },
+  { 0x1.04a9da360953cp+31, 0x1.6c11a2e4d8234p-857, INIT_U128( 0x0000000000000000, 0x000000008254ed1b ) },
+  { 0x1.fbba6e93f774ep+31, 0x1.0e9a6e5c1d34ep-857, INIT_U128( 0x0000000000000000, 0x00000000fddd3749 ) },
+  { 0x1.380b108470162p+31, 0x1.65c0e5f6cb81cp-857, INIT_U128( 0x0000000000000000, 0x000000009c058842 ) },
+  { 0x1.050dfc000a1cp+31, 0x1.1df2fc803be6p-857, INIT_U128( 0x0000000000000000, 0x000000008286fe00 ) },
+  { 0x1.88bf9e1d117f4p+32, 0x1.8dd4aa1b1ba95p-126, INIT_U128( 0x0000000000000000, 0x0000000188bf9e1d ) },
+  { 0x1.8b35d7ff166bbp+32, 0x1.91ca210923944p-126, INIT_U128( 0x0000000000000000, 0x000000018b35d7ff ) },
+  { 0x1.286a366250d47p+32, 0x1.012c86ac02591p-126, INIT_U128( 0x0000000000000000, 0x00000001286a3662 ) },
+  { 0x1.ef233cd5de467p+32, 0x1.2292a62645255p-126, INIT_U128( 0x0000000000000000, 0x00000001ef233cd5 ) },
+  { 0x1.917a959722f53p+33, 0x1.85a7d93f0b4fbp-478, INIT_U128( 0x0000000000000000, 0x0000000322f52b2e ) },
+  { 0x1.f630053bec6p+33, 0x1.f79a5227ef34bp-478, INIT_U128( 0x0000000000000000, 0x00000003ec600a77 ) },
+  { 0x1.1a062b14340c6p+33, 0x1.21179acc422f4p-478, INIT_U128( 0x0000000000000000, 0x00000002340c5628 ) },
+  { 0x1.d62acf15ac55ap+33, 0x1.bf1cd2697e39ap-478, INIT_U128( 0x0000000000000000, 0x00000003ac559e2b ) },
+  { 0x1.823ddfaf047bcp+34, 0x1.e2d35df1c5a6cp-649, INIT_U128( 0x0000000000000000, 0x0000000608f77ebc ) },
+  { 0x1.996ef6e332ddfp+34, 0x1.7af28278f5e5p-649, INIT_U128( 0x0000000000000000, 0x0000000665bbdb8c ) },
+  { 0x1.81a2bfc703458p+34, 0x1.acc15cd15982cp-649, INIT_U128( 0x0000000000000000, 0x00000006068aff1c ) },
+  { 0x1.4517e98e8a2fdp+34, 0x1.a3233fc546468p-649, INIT_U128( 0x0000000000000000, 0x00000005145fa63a ) },
+  { 0x1.09f551a013eaap+35, 0x0.0000000000006p-1022, INIT_U128( 0x0000000000000000, 0x000000084faa8d00 ) },
+  { 0x1.a2911b3d45224p+35, 0x0.0000000000005p-1022, INIT_U128( 0x0000000000000000, 0x0000000d1488d9ea ) },
+  { 0x1.77a301deef46p+35, 0x0.0000000000008p-1022, INIT_U128( 0x0000000000000000, 0x0000000bbd180ef7 ) },
+  { 0x1.f60ea85fec1d5p+35, 0x0.0000000000006p-1022, INIT_U128( 0x0000000000000000, 0x0000000fb07542ff ) },
+  { 0x1.75c28ed8eb852p+36, 0x1.64300234c86p-938, INIT_U128( 0x0000000000000000, 0x000000175c28ed8e ) },
+  { 0x1.394f8bae729f2p+36, 0x1.2119204042324p-938, INIT_U128( 0x0000000000000000, 0x0000001394f8bae7 ) },
+  { 0x1.94d6bc7929ad8p+36, 0x1.4a8aa2aa95154p-938, INIT_U128( 0x0000000000000000, 0x000000194d6bc792 ) },
+  { 0x1.1f519dcc3ea34p+36, 0x1.b4fbc9c969f79p-938, INIT_U128( 0x0000000000000000, 0x00000011f519dcc3 ) },
+  { 0x1.bb2fb46f765f6p+37, 0x1.cd4047139a809p-718, INIT_U128( 0x0000000000000000, 0x0000003765f68dee ) },
+  { 0x1.f80989d1f0131p+37, 0x1.c0546f4180a8ep-718, INIT_U128( 0x0000000000000000, 0x0000003f01313a3e ) },
+  { 0x1.90be9171217d2p+37, 0x1.bcc6089d798c1p-718, INIT_U128( 0x0000000000000000, 0x0000003217d22e24 ) },
+  { 0x1.37469d226e8d4p+37, 0x1.06aff8000d5ffp-718, INIT_U128( 0x0000000000000000, 0x00000026e8d3a44d ) },
+  { 0x1.2e0114905c022p+38, 0x1.298bde145317cp-115, INIT_U128( 0x0000000000000000, 0x0000004b80452417 ) },
+  { 0x1.77354c42ee6aap+38, 0x1.d9a75513b34eap-115, INIT_U128( 0x0000000000000000, 0x0000005dcd5310bb ) },
+  { 0x1.0881a80c11035p+38, 0x1.44e5e01889cbcp-115, INIT_U128( 0x0000000000000000, 0x00000042206a0304 ) },
+  { 0x1.a32b590f4656bp+38, 0x1.760fbd2eec1f8p-115, INIT_U128( 0x0000000000000000, 0x00000068cad643d1 ) },
+  { 0x1.e7bc6861cf78dp+39, 0x1.72addca8e55bcp-767, INIT_U128( 0x0000000000000000, 0x000000f3de3430e7 ) },
+  { 0x1.e1e11b1bc3c24p+39, 0x1.713729dae26e5p-767, INIT_U128( 0x0000000000000000, 0x000000f0f08d8de1 ) },
+  { 0x1.8bbb377f17767p+39, 0x1.c296d213852dap-767, INIT_U128( 0x0000000000000000, 0x000000c5dd9bbf8b ) },
+  { 0x1.7cb13d18f9628p+39, 0x1.8dcf87351b9f1p-767, INIT_U128( 0x0000000000000000, 0x000000be589e8c7c ) },
+  { 0x1.1ddbaf383bb76p+40, 0x1.20c8d9d04191bp-497, INIT_U128( 0x0000000000000000, 0x0000011ddbaf383b ) },
+  { 0x1.fde474e3fbc8ep+40, 0x1.7e6de35afcdbcp-497, INIT_U128( 0x0000000000000000, 0x000001fde474e3fb ) },
+  { 0x1.02a202b00544p+40, 0x1.311b40f462368p-497, INIT_U128( 0x0000000000000000, 0x00000102a202b005 ) },
+  { 0x1.ec0b6577d816cp+40, 0x1.8e49e85d1c93dp-497, INIT_U128( 0x0000000000000000, 0x000001ec0b6577d8 ) },
+  { 0x1.95fa4b912bf4ap+41, 0x1.295d953652bb2p-872, INIT_U128( 0x0000000000000000, 0x0000032bf4972257 ) },
+  { 0x1.fd243093fa486p+41, 0x1.91e0a45723c14p-872, INIT_U128( 0x0000000000000000, 0x000003fa486127f4 ) },
+  { 0x1.d0beeb21a17dep+41, 0x1.97f98e272ff32p-872, INIT_U128( 0x0000000000000000, 0x000003a17dd64342 ) },
+  { 0x1.750735faea0e6p+41, 0x1.97a4c8c92f499p-872, INIT_U128( 0x0000000000000000, 0x000002ea0e6bf5d4 ) },
+  { 0x1.ab409c8f56814p+42, 0x1.1e820fc23d042p-84, INIT_U128( 0x0000000000000000, 0x000006ad02723d5a ) },
+  { 0x1.85e79a910bcf3p+42, 0x1.75d44930eba89p-84, INIT_U128( 0x0000000000000000, 0x000006179e6a442f ) },
+  { 0x1.e2fa47dfc5f49p+42, 0x1.f91c1067f2382p-84, INIT_U128( 0x0000000000000000, 0x0000078be91f7f17 ) },
+  { 0x1.ecaf7567d95eep+42, 0x1.dd787be3baf1p-84, INIT_U128( 0x0000000000000000, 0x000007b2bdd59f65 ) },
+  { 0x1.4fd770a89faeep+43, 0x1.883956a11072bp-669, INIT_U128( 0x0000000000000000, 0x00000a7ebb8544fd ) },
+  { 0x1.b2b2aa2d65655p+43, 0x1.0c2516f2184a3p-669, INIT_U128( 0x0000000000000000, 0x00000d9595516b2b ) },
+  { 0x1.5848b5b4b0916p+43, 0x1.d9a0d8cfb341bp-669, INIT_U128( 0x0000000000000000, 0x00000ac245ada584 ) },
+  { 0x1.be7daa1f7cfb5p+43, 0x1.f0c9d223e193bp-669, INIT_U128( 0x0000000000000000, 0x00000df3ed50fbe7 ) },
+  { 0x1.3f6d46f07eda9p+44, 0x1.3d2fa1b27a5f4p-539, INIT_U128( 0x0000000000000000, 0x000013f6d46f07ed ) },
+  { 0x1.5eb8dcaebd71cp+44, 0x1.8e170e7b1c2e2p-539, INIT_U128( 0x0000000000000000, 0x000015eb8dcaebd7 ) },
+  { 0x1.893b63631276cp+44, 0x1.9447ca53288f9p-539, INIT_U128( 0x0000000000000000, 0x00001893b6363127 ) },
+  { 0x1.4e089b389c114p+44, 0x1.d191b053a3236p-539, INIT_U128( 0x0000000000000000, 0x000014e089b389c1 ) },
+  { 0x1.2e36d90e5c6dbp+45, 0x1.314d394c629a7p-889, INIT_U128( 0x0000000000000000, 0x000025c6db21cb8d ) },
+  { 0x1.7f784de4fef0ap+45, 0x1.5413e986a827dp-889, INIT_U128( 0x0000000000000000, 0x00002fef09bc9fde ) },
+  { 0x1.74448388e889p+45, 0x1.752c3c2cea588p-889, INIT_U128( 0x0000000000000000, 0x00002e8890711d11 ) },
+  { 0x1.ebb20c51d7641p+45, 0x1.50a52f7ca14a6p-889, INIT_U128( 0x0000000000000000, 0x00003d76418a3aec ) },
+  { 0x1.4b51066896a21p+46, 0x1.d43cc973a8799p-550, INIT_U128( 0x0000000000000000, 0x000052d4419a25a8 ) },
+  { 0x1.070f0d280e1e2p+46, 0x1.c25aa6dd84b55p-550, INIT_U128( 0x0000000000000000, 0x000041c3c34a0387 ) },
+  { 0x1.7f735ca4fee6cp+46, 0x1.a92889d752511p-550, INIT_U128( 0x0000000000000000, 0x00005fdcd7293fb9 ) },
+  { 0x1.72ed987ae5db3p+46, 0x1.fae14a03f5c29p-550, INIT_U128( 0x0000000000000000, 0x00005cbb661eb976 ) },
+  { 0x1.7352fdf0e6a6p+47, 0x1.1a64275034c85p-857, INIT_U128( 0x0000000000000000, 0x0000b9a97ef87353 ) },
+  { 0x1.9f4b98f33e973p+47, 0x1.657b10c0caf62p-857, INIT_U128( 0x0000000000000000, 0x0000cfa5cc799f4b ) },
+  { 0x1.b12eb79b625d7p+47, 0x1.4826ca96904dap-857, INIT_U128( 0x0000000000000000, 0x0000d8975bcdb12e ) },
+  { 0x1.6148cbcac291ap+47, 0x1.8672a1ad0ce54p-857, INIT_U128( 0x0000000000000000, 0x0000b0a465e56148 ) },
+  { 0x1.1df8159e3bf02p+48, 0x1.7c6dbd68f8db8p-407, INIT_U128( 0x0000000000000000, 0x00011df8159e3bf0 ) },
+  { 0x1.d8e17545b1c2ep+48, 0x1.959fcc5f2b3fap-407, INIT_U128( 0x0000000000000000, 0x0001d8e17545b1c2 ) },
+  { 0x1.ea57e075d4afcp+48, 0x1.56705400ace0ap-407, INIT_U128( 0x0000000000000000, 0x0001ea57e075d4af ) },
+  { 0x1.d2aa9e99a5554p+48, 0x1.9ebcab993d796p-407, INIT_U128( 0x0000000000000000, 0x0001d2aa9e99a555 ) },
+  { 0x1.4fe075a49fc0ep+49, 0x1.e950f533d2a1ep-694, INIT_U128( 0x0000000000000000, 0x00029fc0eb493f81 ) },
+  { 0x1.a936db51526dcp+49, 0x1.8a1397df14273p-694, INIT_U128( 0x0000000000000000, 0x0003526db6a2a4db ) },
+  { 0x1.138ce7682719dp+49, 0x1.7f879c76ff0f4p-694, INIT_U128( 0x0000000000000000, 0x00022719ced04e33 ) },
+  { 0x1.21e981b043d3p+49, 0x1.eaefe1f3d5dfcp-694, INIT_U128( 0x0000000000000000, 0x000243d3036087a6 ) },
+  { 0x1.793e9a3cf27d4p+50, 0x1.40169b90802d4p-934, INIT_U128( 0x0000000000000000, 0x0005e4fa68f3c9f5 ) },
+  { 0x1.7e1caadcfc396p+50, 0x1.371020466e204p-934, INIT_U128( 0x0000000000000000, 0x0005f872ab73f0e5 ) },
+  { 0x1.33a019d667403p+50, 0x1.9c77f7cb38effp-934, INIT_U128( 0x0000000000000000, 0x0004ce8067599d00 ) },
+  { 0x1.b4966ecb692cep+50, 0x1.c4dd0f8989ba2p-934, INIT_U128( 0x0000000000000000, 0x0006d259bb2da4b3 ) },
+  { 0x1.822ad9630455bp+51, 0x1.3fade6a07f5bdp-561, INIT_U128( 0x0000000000000000, 0x000c1156cb1822ad ) },
+  { 0x1.3a77dd3c74efcp+51, 0x1.55dd3018abba6p-561, INIT_U128( 0x0000000000000000, 0x0009d3bee9e3a77e ) },
+  { 0x1.d375773da6eafp+51, 0x1.ad40b9955a817p-561, INIT_U128( 0x0000000000000000, 0x000e9babb9ed3757 ) },
+  { 0x1.16059bfe2c0b4p+51, 0x1.ff801c63ff003p-561, INIT_U128( 0x0000000000000000, 0x0008b02cdff1605a ) },
+  { 0x1.af8f1e955f1e4p+52, 0x1.2c4cc4fa58998p-237, INIT_U128( 0x0000000000000000, 0x001af8f1e955f1e4 ) },
+  { 0x1.579e5322af3cap+52, 0x1.e9974457d32e8p-237, INIT_U128( 0x0000000000000000, 0x001579e5322af3ca ) },
+  { 0x1.2b9d921a573b2p+52, 0x1.d8798265b0f3p-237, INIT_U128( 0x0000000000000000, 0x0012b9d921a573b2 ) },
+  { 0x1.b746d5596e8dbp+52, 0x1.a75bfc954eb8p-237, INIT_U128( 0x0000000000000000, 0x001b746d5596e8db ) },
+  { 0x1.497ec4f092fd8p+53, 0x1.5c597ab2b8b3p-364, INIT_U128( 0x0000000000000000, 0x00292fd89e125fb0 ) },
+  { 0x1.8a65536914caap+53, 0x1.958565492b0adp-364, INIT_U128( 0x0000000000000000, 0x00314caa6d229954 ) },
+  { 0x1.11b7146c236e2p+53, 0x1.3154f5b662a9ep-364, INIT_U128( 0x0000000000000000, 0x002236e28d846dc4 ) },
+  { 0x1.f71b5e7bee36cp+53, 0x1.efc7aa5ddf8f6p-364, INIT_U128( 0x0000000000000000, 0x003ee36bcf7dc6d8 ) },
+  { 0x1.5a71157ab4e22p+54, 0x1.b4fd1c6b69fa4p-39, INIT_U128( 0x0000000000000000, 0x00569c455ead3888 ) },
+  { 0x1.4ab52e26956a6p+54, 0x1.204833ee40906p-39, INIT_U128( 0x0000000000000000, 0x0052ad4b89a55a98 ) },
+  { 0x1.7b9298b4f7253p+54, 0x1.084ca6f410995p-39, INIT_U128( 0x0000000000000000, 0x005ee4a62d3dc94c ) },
+  { 0x1.8be06c0317c0ep+54, 0x1.9677f6df2ceffp-39, INIT_U128( 0x0000000000000000, 0x0062f81b00c5f038 ) },
+  { 0x1.53534daca6a6ap+55, 0x1.af26be6f5e4d8p-905, INIT_U128( 0x0000000000000000, 0x00a9a9a6d6535350 ) },
+  { 0x1.ee7424c1dce84p+55, 0x1.38a375387146ep-905, INIT_U128( 0x0000000000000000, 0x00f73a1260ee7420 ) },
+  { 0x1.4275718484eaep+55, 0x1.693f342ed27e6p-905, INIT_U128( 0x0000000000000000, 0x00a13ab8c2427570 ) },
+  { 0x1.4e48bc049c918p+55, 0x1.30d3b39661a76p-905, INIT_U128( 0x0000000000000000, 0x00a7245e024e48c0 ) },
+  { 0x1.6fcb01f0df96p+56, 0x1.f3322f93e6646p-339, INIT_U128( 0x0000000000000000, 0x016fcb01f0df9600 ) },
+  { 0x1.6f16f2e4de2dep+56, 0x1.b50cb2d16a196p-339, INIT_U128( 0x0000000000000000, 0x016f16f2e4de2de0 ) },
+  { 0x1.6fcb3cb2df968p+56, 0x1.f7623e45eec48p-339, INIT_U128( 0x0000000000000000, 0x016fcb3cb2df9680 ) },
+  { 0x1.a41a78314834fp+56, 0x1.ee812a93dd026p-339, INIT_U128( 0x0000000000000000, 0x01a41a78314834f0 ) },
+  { 0x1.73544f7ce6a8ap+57, 0x1.fbf6a069f7ed4p-786, INIT_U128( 0x0000000000000000, 0x02e6a89ef9cd5140 ) },
+  { 0x1.8d4beb3f1a97ep+57, 0x1.6f6e15a0dedc2p-786, INIT_U128( 0x0000000000000000, 0x031a97d67e352fc0 ) },
+  { 0x1.70dfc328e1bf8p+57, 0x1.56963a34ad2c8p-786, INIT_U128( 0x0000000000000000, 0x02e1bf8651c37f00 ) },
+  { 0x1.6e5e39acdcbc7p+57, 0x1.62dfb7d4c5bf7p-786, INIT_U128( 0x0000000000000000, 0x02dcbc7359b978e0 ) },
+  { 0x1.10a375142146ep+58, 0x1.dde963f1bbd2cp-687, INIT_U128( 0x0000000000000000, 0x04428dd450851b80 ) },
+  { 0x1.7eacb1acfd596p+58, 0x1.e59952a9cb32bp-687, INIT_U128( 0x0000000000000000, 0x05fab2c6b3f56580 ) },
+  { 0x1.3f2bac4a7e576p+58, 0x1.d21ee367a43ddp-687, INIT_U128( 0x0000000000000000, 0x04fcaeb129f95d80 ) },
+  { 0x1.be738acb7ce71p+58, 0x1.d4b6334fa96c7p-687, INIT_U128( 0x0000000000000000, 0x06f9ce2b2df39c40 ) },
+  { 0x1.b322eff56645ep+59, 0x0.00000014b8158p-1022, INIT_U128( 0x0000000000000000, 0x0d99177fab322f00 ) },
+  { 0x1.b8dfbdbd71bf8p+59, 0x0.00000010ac2d6p-1022, INIT_U128( 0x0000000000000000, 0x0dc6fdedeb8dfc00 ) },
+  { 0x1.e45f6d33c8bedp+59, 0x0.0000001c79003p-1022, INIT_U128( 0x0000000000000000, 0x0f22fb699e45f680 ) },
+  { 0x1.10c7106e218e2p+59, 0x0.0000001ea2457p-1022, INIT_U128( 0x0000000000000000, 0x08863883710c7100 ) },
+  { 0x1.c48c230989185p+60, 0x1.a60d3fb34c1a8p-116, INIT_U128( 0x0000000000000000, 0x1c48c23098918500 ) },
+  { 0x1.5e9345fabd268p+60, 0x1.4898e6d49131dp-116, INIT_U128( 0x0000000000000000, 0x15e9345fabd26800 ) },
+  { 0x1.b56942576ad28p+60, 0x1.aff4a0655fe94p-116, INIT_U128( 0x0000000000000000, 0x1b56942576ad2800 ) },
+  { 0x1.7f865930ff0cbp+60, 0x1.13a0876e27411p-116, INIT_U128( 0x0000000000000000, 0x17f865930ff0cb00 ) },
+  { 0x1.ef482c31de906p+61, 0x1.43e655d887ccap-501, INIT_U128( 0x0000000000000000, 0x3de905863bd20c00 ) },
+  { 0x1.9fa15a7d3f42bp+61, 0x1.b00fcc55601fap-501, INIT_U128( 0x0000000000000000, 0x33f42b4fa7e85600 ) },
+  { 0x1.d2c465fda588dp+61, 0x1.98c2f6e73185fp-501, INIT_U128( 0x0000000000000000, 0x3a588cbfb4b11a00 ) },
+  { 0x1.f038608de070cp+61, 0x1.7b4fa8a0f69f5p-501, INIT_U128( 0x0000000000000000, 0x3e070c11bc0e1800 ) },
+  { 0x1.adfb2db35bf66p+62, 0x1.38efaf6271df6p+8, INIT_U128( 0x0000000000000000, 0x6b7ecb6cd6fd9938 ) },
+  { 0x1.1679474c2cf29p+62, 0x1.ae04d7f95c09bp+8, INIT_U128( 0x0000000000000000, 0x459e51d30b3ca5ae ) },
+  { 0x1.890c63b91218cp+62, 0x1.133030ac26606p+8, INIT_U128( 0x0000000000000000, 0x624318ee44863113 ) },
+  { 0x1.08fc576811f8bp+62, 0x1.521d194ea43a3p+8, INIT_U128( 0x0000000000000000, 0x423f15da047e2d52 ) },
+  { 0x1.5c2e1ea2b85c4p+63, 0x1.bbf1e79d77e3dp-836, INIT_U128( 0x0000000000000000, 0xae170f515c2e2000 ) },
+  { 0x1.3a1d0742743a1p+63, 0x1.849ecbad093dap-836, INIT_U128( 0x0000000000000000, 0x9d0e83a13a1d0800 ) },
+  { 0x1.ac698c2758d32p+63, 0x1.7a316edaf462ep-836, INIT_U128( 0x0000000000000000, 0xd634c613ac699000 ) },
+  { 0x1.8542412f0a848p+63, 0x1.a53fa9cd4a7f5p-836, INIT_U128( 0x0000000000000000, 0xc2a1209785424000 ) },
+  { 0x1.f526fb77ea4ep+64, 0x1.170327882e065p-848, INIT_U128( 0x0000000000000001, 0xf526fb77ea4e0000 ) },
+  { 0x1.acca54155994ap+64, 0x1.4c44fdb4988ap-848, INIT_U128( 0x0000000000000001, 0xacca54155994a000 ) },
+  { 0x1.b47ed77768fdbp+64, 0x1.e6883245cd107p-848, INIT_U128( 0x0000000000000001, 0xb47ed77768fdb000 ) },
+  { 0x1.bf32165b7e643p+64, 0x1.7da93100fb526p-848, INIT_U128( 0x0000000000000001, 0xbf32165b7e643000 ) },
+  { 0x1.c6aa72a58d54fp+65, 0x1.700d04ece01ap-810, INIT_U128( 0x0000000000000003, 0x8d54e54b1aa9e000 ) },
+  { 0x1.651ffffcca4p+65, 0x1.b6e3b8e56dc77p-810, INIT_U128( 0x0000000000000002, 0xca3ffff994800000 ) },
+  { 0x1.f59076c9eb20fp+65, 0x1.41622b1082c46p-810, INIT_U128( 0x0000000000000003, 0xeb20ed93d641e000 ) },
+  { 0x1.2362224a46c44p+65, 0x1.0fe4f0321fc9ep-810, INIT_U128( 0x0000000000000002, 0x46c444948d888000 ) },
+  { 0x1.96643d852cc88p+66, 0x1.5aadaff0b55b6p-820, INIT_U128( 0x0000000000000006, 0x5990f614b3220000 ) },
+  { 0x1.38a95f0e7152cp+66, 0x1.8432d89b0865bp-820, INIT_U128( 0x0000000000000004, 0xe2a57c39c54b0000 ) },
+  { 0x1.b674a85b6ce95p+66, 0x1.3adbee1a75b7ep-820, INIT_U128( 0x0000000000000006, 0xd9d2a16db3a54000 ) },
+  { 0x1.81b2bc3303658p+66, 0x1.0e771c4e1cee4p-820, INIT_U128( 0x0000000000000006, 0x06caf0cc0d960000 ) },
+  { 0x1.017e066002fc1p+67, 0x1.69eb9d80d3d74p-860, INIT_U128( 0x0000000000000008, 0x0bf0330017e08000 ) },
+  { 0x1.b75b9b136eb74p+67, 0x1.ddf2ec69bbe5ep-860, INIT_U128( 0x000000000000000d, 0xbadcd89b75ba0000 ) },
+  { 0x1.71432fe4e2866p+67, 0x1.cbea0a3797d41p-860, INIT_U128( 0x000000000000000b, 0x8a197f2714330000 ) },
+  { 0x1.65e3ce88cbc7ap+67, 0x1.dd466e4dba8cep-860, INIT_U128( 0x000000000000000b, 0x2f1e74465e3d0000 ) },
+  { 0x1.d76842dfaed09p+68, 0x1.d4739f6ba8e74p-740, INIT_U128( 0x000000000000001d, 0x76842dfaed090000 ) },
+  { 0x1.9180cb312301ap+68, 0x1.5961b442b2c36p-740, INIT_U128( 0x0000000000000019, 0x180cb312301a0000 ) },
+  { 0x1.5ea7abd8bd4f6p+68, 0x1.0afd825415fbp-740, INIT_U128( 0x0000000000000015, 0xea7abd8bd4f60000 ) },
+  { 0x1.bcf6493f79ec9p+68, 0x1.39f6643a73eccp-740, INIT_U128( 0x000000000000001b, 0xcf6493f79ec90000 ) },
+  { 0x1.6c264bbad84cap+69, 0x1.3d2b92de7a572p-358, INIT_U128( 0x000000000000002d, 0x84c9775b09940000 ) },
+  { 0x1.13b3e09a2767cp+69, 0x1.a3ead92f47d5bp-358, INIT_U128( 0x0000000000000022, 0x767c1344ecf80000 ) },
+  { 0x1.8518219d0a304p+69, 0x1.c9a99edf93534p-358, INIT_U128( 0x0000000000000030, 0xa30433a146080000 ) },
+  { 0x1.afa032e75f406p+69, 0x1.76f3e70cede7dp-358, INIT_U128( 0x0000000000000035, 0xf4065cebe80c0000 ) },
+  { 0x1.1aa2f5343545ep+70, 0x1.cd612ccd9ac25p-491, INIT_U128( 0x0000000000000046, 0xa8bd4d0d51780000 ) },
+  { 0x1.2c8c2e1a59186p+70, 0x1.53ac1260a7582p-491, INIT_U128( 0x000000000000004b, 0x230b869646180000 ) },
+  { 0x1.b92d16ef725a3p+70, 0x1.05faddde0bf5cp-491, INIT_U128( 0x000000000000006e, 0x4b45bbdc968c0000 ) },
+  { 0x1.9fc802a33f9p+70, 0x1.203a627a4074cp-491, INIT_U128( 0x0000000000000067, 0xf200a8cfe4000000 ) },
+  { 0x1.240746b6480e9p+71, 0x1.78c39518f1872p-676, INIT_U128( 0x0000000000000092, 0x03a35b2407480000 ) },
+  { 0x1.863a24750c744p+71, 0x1.96d2b31d2da56p-676, INIT_U128( 0x00000000000000c3, 0x1d123a863a200000 ) },
+  { 0x1.597fbe8ab2ff8p+71, 0x1.93afb023275f6p-676, INIT_U128( 0x00000000000000ac, 0xbfdf45597fc00000 ) },
+  { 0x1.e1080a67c2102p+71, 0x1.b5c9f2a36b93ep-676, INIT_U128( 0x00000000000000f0, 0x840533e108100000 ) },
+  { 0x1.5c1897a6b8313p+72, 0x1.e08b1a6fc1164p-272, INIT_U128( 0x000000000000015c, 0x1897a6b831300000 ) },
+  { 0x1.9ba232cf37446p+72, 0x1.5f66bf90becd8p-272, INIT_U128( 0x000000000000019b, 0xa232cf3744600000 ) },
+  { 0x1.595f744cb2beep+72, 0x1.f7a95a67ef52cp-272, INIT_U128( 0x0000000000000159, 0x5f744cb2bee00000 ) },
+  { 0x1.a763ae594ec76p+72, 0x1.c295524f852aap-272, INIT_U128( 0x00000000000001a7, 0x63ae594ec7600000 ) },
+  { 0x1.06eca6c40dd95p+73, 0x1.f918431ff2309p-572, INIT_U128( 0x000000000000020d, 0xd94d881bb2a00000 ) },
+  { 0x1.4f9fc82a9f3f9p+73, 0x1.257089f24ae11p-572, INIT_U128( 0x000000000000029f, 0x3f90553e7f200000 ) },
+  { 0x1.0fa3bdc41f478p+73, 0x1.1ca9162039523p-572, INIT_U128( 0x000000000000021f, 0x477b883e8f000000 ) },
+  { 0x1.be3be7ef7c77dp+73, 0x1.ae73d50d5ce7bp-572, INIT_U128( 0x000000000000037c, 0x77cfdef8efa00000 ) },
+  { 0x1.da6d4389b4da8p+74, 0x1.1806570a300cbp-230, INIT_U128( 0x0000000000000769, 0xb50e26d36a000000 ) },
+  { 0x1.55276624aa4edp+74, 0x1.004fb390009f6p-230, INIT_U128( 0x0000000000000554, 0x9d9892a93b400000 ) },
+  { 0x1.aeab3c995d568p+74, 0x1.08d9156011b22p-230, INIT_U128( 0x00000000000006ba, 0xacf265755a000000 ) },
+  { 0x1.a281549f4502ap+74, 0x1.cb98cbdf9731ap-230, INIT_U128( 0x000000000000068a, 0x05527d140a800000 ) },
+  { 0x1.35dae4746bb5cp+75, 0x1.492edd3c925dcp-684, INIT_U128( 0x00000000000009ae, 0xd723a35dae000000 ) },
+  { 0x1.e6b8db83cd71cp+75, 0x1.e8282f8fd0506p-684, INIT_U128( 0x0000000000000f35, 0xc6dc1e6b8e000000 ) },
+  { 0x1.17587f082eb1p+75, 0x1.45ebb9f28bd77p-684, INIT_U128( 0x00000000000008ba, 0xc3f8417588000000 ) },
+  { 0x1.957ac7292af59p+75, 0x1.35b408566b681p-684, INIT_U128( 0x0000000000000cab, 0xd6394957ac800000 ) },
+  { 0x1.6e0e0850dc1c1p+76, 0x1.9e623e393cc48p-1002, INIT_U128( 0x00000000000016e0, 0xe0850dc1c1000000 ) },
+  { 0x1.90fee6ff21fddp+76, 0x1.7ceca2caf9d94p-1002, INIT_U128( 0x000000000000190f, 0xee6ff21fdd000000 ) },
+  { 0x1.5798708eaf30ep+76, 0x1.d3322f4fa6646p-1002, INIT_U128( 0x0000000000001579, 0x8708eaf30e000000 ) },
+  { 0x1.c2ef5f4185decp+76, 0x1.96ad4d692d5aap-1002, INIT_U128( 0x0000000000001c2e, 0xf5f4185dec000000 ) },
+  { 0x1.ae14b81f5c297p+77, 0x1.062f208c0c5e4p-169, INIT_U128( 0x00000000000035c2, 0x9703eb852e000000 ) },
+  { 0x1.1f2ef58a3e5dep+77, 0x1.97a029192f405p-169, INIT_U128( 0x00000000000023e5, 0xdeb147cbbc000000 ) },
+  { 0x1.74861d64e90c4p+77, 0x1.fb289c69f6513p-169, INIT_U128( 0x0000000000002e90, 0xc3ac9d2188000000 ) },
+  { 0x1.11782bc422f06p+77, 0x1.fe294db5fc529p-169, INIT_U128( 0x000000000000222f, 0x0578845e0c000000 ) },
+  { 0x1.3af34bd275e6ap+78, 0x1.ba66054574cc1p-910, INIT_U128( 0x0000000000004ebc, 0xd2f49d79a8000000 ) },
+  { 0x1.0708e3fc0e11cp+78, 0x1.09ae142c135c2p-910, INIT_U128( 0x00000000000041c2, 0x38ff038470000000 ) },
+  { 0x1.c313a69786275p+78, 0x1.fc165a27f82ccp-910, INIT_U128( 0x00000000000070c4, 0xe9a5e189d4000000 ) },
+  { 0x1.990c9ad532193p+78, 0x1.072499060e493p-910, INIT_U128( 0x0000000000006643, 0x26b54c864c000000 ) },
+  { 0x1.dd2363c1ba46cp+79, 0x1.d163c99ba2c79p-815, INIT_U128( 0x000000000000ee91, 0xb1e0dd2360000000 ) },
+  { 0x1.b0ae4ad1615c9p+79, 0x1.8f2f90f91e5f2p-815, INIT_U128( 0x000000000000d857, 0x2568b0ae48000000 ) },
+  { 0x1.9a26bbb7344d8p+79, 0x1.ed90d6d9db21bp-815, INIT_U128( 0x000000000000cd13, 0x5ddb9a26c0000000 ) },
+  { 0x1.71ec17ace3d83p+79, 0x1.ec2b79cfd856fp-815, INIT_U128( 0x000000000000b8f6, 0x0bd671ec18000000 ) },
+  { 0x1.689f9cb2d13f4p+80, 0x1.adfbd9175bf7bp-935, INIT_U128( 0x000000000001689f, 0x9cb2d13f40000000 ) },
+  { 0x1.cde2888d9bc51p+80, 0x1.0d3598f01a6b3p-935, INIT_U128( 0x000000000001cde2, 0x888d9bc510000000 ) },
+  { 0x1.6866c948d0cd9p+80, 0x1.0d9da3cc1b3b4p-935, INIT_U128( 0x0000000000016866, 0xc948d0cd90000000 ) },
+  { 0x1.eee79cbdddcf3p+80, 0x1.a60bf9374c17fp-935, INIT_U128( 0x000000000001eee7, 0x9cbdddcf30000000 ) },
+  { 0x1.3a27b29c744f6p+81, 0x1.1270039224ep-231, INIT_U128( 0x000000000002744f, 0x6538e89ec0000000 ) },
+  { 0x1.608a6c38c114ep+81, 0x1.a6ff1b154dfe4p-231, INIT_U128( 0x000000000002c114, 0xd8718229c0000000 ) },
+  { 0x1.b8ddf2c971bbep+81, 0x1.7a6c452cf4d88p-231, INIT_U128( 0x00000000000371bb, 0xe592e377c0000000 ) },
+  { 0x1.34056f04680aep+81, 0x1.3aa39ba075474p-231, INIT_U128( 0x000000000002680a, 0xde08d015c0000000 ) },
+  { 0x1.df36567dbe6cbp+82, 0x1.948aa54b29155p-104, INIT_U128( 0x0000000000077cd9, 0x59f6f9b2c0000000 ) },
+  { 0x1.00c5bf20018b8p+82, 0x1.0354f44e06a9ep-104, INIT_U128( 0x0000000000040316, 0xfc80062e00000000 ) },
+  { 0x1.5a6d471ab4da9p+82, 0x1.ea755ca5d4eabp-104, INIT_U128( 0x00000000000569b5, 0x1c6ad36a40000000 ) },
+  { 0x1.58acff6eb15ap+82, 0x1.f6c3b1b9ed876p-104, INIT_U128( 0x00000000000562b3, 0xfdbac56800000000 ) },
+  { 0x1.9288c20b25118p+83, 0x1.477be5208ef7cp-445, INIT_U128( 0x00000000000c9446, 0x1059288c00000000 ) },
+  { 0x1.3556fa5c6aaep+83, 0x1.f200a591e4014p-445, INIT_U128( 0x000000000009aab7, 0xd2e3557000000000 ) },
+  { 0x1.88dec0dd11bd8p+83, 0x1.a1ceac19439d6p-445, INIT_U128( 0x00000000000c46f6, 0x06e88dec00000000 ) },
+  { 0x1.603498e4c0693p+83, 0x1.94ccf0d52999ep-445, INIT_U128( 0x00000000000b01a4, 0xc726034980000000 ) },
+  { 0x1.1dfbb7a43bf77p+84, 0x1.d7dd8bdbafbb2p-926, INIT_U128( 0x000000000011dfbb, 0x7a43bf7700000000 ) },
+  { 0x1.5f5d18b8beba3p+84, 0x1.ac1b923558372p-926, INIT_U128( 0x000000000015f5d1, 0x8b8beba300000000 ) },
+  { 0x1.8b32b85d16657p+84, 0x1.37ae11cc6f5c2p-926, INIT_U128( 0x000000000018b32b, 0x85d1665700000000 ) },
+  { 0x1.506f56eca0debp+84, 0x1.185445da30a88p-926, INIT_U128( 0x00000000001506f5, 0x6eca0deb00000000 ) },
+  { 0x1.506cf3dea0d9ep+85, 0x1.2e68e2945cd1cp-635, INIT_U128( 0x00000000002a0d9e, 0x7bd41b3c00000000 ) },
+  { 0x1.99ef268733de5p+85, 0x1.2ce0960e59c13p-635, INIT_U128( 0x0000000000333de4, 0xd0e67bca00000000 ) },
+  { 0x1.d46cd273a8d9ap+85, 0x1.fb0bae61f6176p-635, INIT_U128( 0x00000000003a8d9a, 0x4e751b3400000000 ) },
+  { 0x1.31deaa8263bd6p+85, 0x1.8a752b4514ea6p-635, INIT_U128( 0x0000000000263bd5, 0x504c77ac00000000 ) },
+  { 0x1.95956f032b2aep+86, 0x1.ddd18753bba31p-535, INIT_U128( 0x000000000065655b, 0xc0cacab800000000 ) },
+  { 0x1.db4b6705b696dp+86, 0x1.fc438061f887p-535, INIT_U128( 0x000000000076d2d9, 0xc16da5b400000000 ) },
+  { 0x1.42c9320885926p+86, 0x1.9258f3ab24b1ep-535, INIT_U128( 0x000000000050b24c, 0x8221649800000000 ) },
+  { 0x1.08ca2a0e11946p+86, 0x1.1c860974390c1p-535, INIT_U128( 0x000000000042328a, 0x8384651800000000 ) },
+  { 0x1.ddf27f51bbe5p+87, 0x1.a776e8c94eeddp-479, INIT_U128( 0x0000000000eef93f, 0xa8ddf28000000000 ) },
+  { 0x1.3f5b6af47eb6ep+87, 0x1.cf47dd9d9e8fcp-479, INIT_U128( 0x00000000009fadb5, 0x7a3f5b7000000000 ) },
+  { 0x1.4b9d6480973acp+87, 0x1.c249100d84922p-479, INIT_U128( 0x0000000000a5ceb2, 0x404b9d6000000000 ) },
+  { 0x1.eea053a5dd40bp+87, 0x1.26e6f8d24dcdfp-479, INIT_U128( 0x0000000000f75029, 0xd2eea05800000000 ) },
+  { 0x1.4e0a84329c15p+88, 0x1.b969043772d2p-931, INIT_U128( 0x00000000014e0a84, 0x329c150000000000 ) },
+  { 0x1.20fcf75c41f9fp+88, 0x1.a487f5bf490ffp-931, INIT_U128( 0x000000000120fcf7, 0x5c41f9f000000000 ) },
+  { 0x1.0937a468126f4p+88, 0x1.dd15685bba2adp-931, INIT_U128( 0x00000000010937a4, 0x68126f4000000000 ) },
+  { 0x1.3a1b94d674372p+88, 0x1.0e98a7441d315p-931, INIT_U128( 0x00000000013a1b94, 0xd674372000000000 ) },
+  { 0x1.b9b702f1736ep+89, 0x1.afdf8f8b5fbf2p-758, INIT_U128( 0x0000000003736e05, 0xe2e6dc0000000000 ) },
+  { 0x1.f93973b7f272fp+89, 0x1.77696130eed2cp-758, INIT_U128( 0x0000000003f272e7, 0x6fe4e5e000000000 ) },
+  { 0x1.85595b3b0ab2cp+89, 0x1.4c1c459298388p-758, INIT_U128( 0x00000000030ab2b6, 0x7615658000000000 ) },
+  { 0x1.89e4ed0b13c9ep+89, 0x1.4c88ddd89911cp-758, INIT_U128( 0x000000000313c9da, 0x162793c000000000 ) },
+  { 0x1.6d0dfe6ada1cp+90, 0x1.0873b16610e76p+20, INIT_U128( 0x0000000005b437f9, 0xab6870000010873b ) },
+  { 0x1.403e37e4807c7p+90, 0x1.630feeecc61fep+20, INIT_U128( 0x000000000500f8df, 0x9201f1c0001630fe ) },
+  { 0x1.1d3cdade3a79cp+90, 0x1.ecceb30bd99d7p+20, INIT_U128( 0x000000000474f36b, 0x78e9e700001ecceb ) },
+  { 0x1.f50698adea0d3p+90, 0x1.4ed5f3749dabep+20, INIT_U128( 0x0000000007d41a62, 0xb7a834c00014ed5f ) },
+  { 0x1.d869b87fb0d37p+91, 0x1.53d108a0a7a21p-525, INIT_U128( 0x000000000ec34dc3, 0xfd869b8000000000 ) },
+  { 0x1.cd078fb39a0f2p+91, 0x1.228b56084516bp-525, INIT_U128( 0x000000000e683c7d, 0x9cd0790000000000 ) },
+  { 0x1.c67dbd798cfb7p+91, 0x1.65e1ed28cbc3ep-525, INIT_U128( 0x000000000e33edeb, 0xcc67db8000000000 ) },
+  { 0x1.c41a2ed388346p+91, 0x1.4799717a8f32ep-525, INIT_U128( 0x000000000e20d176, 0x9c41a30000000000 ) },
+  { 0x1.db416739b682dp+92, 0x1.fea650affd4cap-706, INIT_U128( 0x000000001db41673, 0x9b682d0000000000 ) },
+  { 0x1.872189f10e431p+92, 0x1.e1de445fc3bc8p-706, INIT_U128( 0x000000001872189f, 0x10e4310000000000 ) },
+  { 0x1.d2ad0fd1a55a2p+92, 0x1.0a06ac7e140d6p-706, INIT_U128( 0x000000001d2ad0fd, 0x1a55a20000000000 ) },
+  { 0x1.2535c3a84a6b8p+92, 0x1.65205312ca40ap-706, INIT_U128( 0x0000000012535c3a, 0x84a6b80000000000 ) },
+  { 0x1.dd518ce9baa31p+93, 0x1.b123211362464p-663, INIT_U128( 0x000000003baa319d, 0x3754620000000000 ) },
+  { 0x1.9a89da733513bp+93, 0x1.8c0a0b2b18142p-663, INIT_U128( 0x0000000033513b4e, 0x66a2760000000000 ) },
+  { 0x1.01fc693203f8dp+93, 0x1.81040a6d02081p-663, INIT_U128( 0x00000000203f8d26, 0x407f1a0000000000 ) },
+  { 0x1.1d9ae72e3b35dp+93, 0x1.fb816ce9f702dp-663, INIT_U128( 0x0000000023b35ce5, 0xc766ba0000000000 ) },
+  { 0x1.1b8311c037062p+94, 0x1.3b413a6c76828p-946, INIT_U128( 0x0000000046e0c470, 0x0dc1880000000000 ) },
+  { 0x1.e7c1239fcf825p+94, 0x1.e89cbe61d1398p-946, INIT_U128( 0x0000000079f048e7, 0xf3e0940000000000 ) },
+  { 0x1.3ba2c92677459p+94, 0x1.4c19bb4098338p-946, INIT_U128( 0x000000004ee8b249, 0x9dd1640000000000 ) },
+  { 0x1.e81787a3d02f1p+94, 0x1.21981a6a43304p-946, INIT_U128( 0x000000007a05e1e8, 0xf40bc40000000000 ) },
+  { 0x1.e18ca9a3c3195p+95, 0x1.d2ce473ba59c9p-353, INIT_U128( 0x00000000f0c654d1, 0xe18ca80000000000 ) },
+  { 0x1.ec1a5457d834ap+95, 0x1.673af5f4ce75ep-353, INIT_U128( 0x00000000f60d2a2b, 0xec1a500000000000 ) },
+  { 0x1.3d4fcc727a9fap+95, 0x1.d577142daaee2p-353, INIT_U128( 0x000000009ea7e639, 0x3d4fd00000000000 ) },
+  { 0x1.6b318358d663p+95, 0x1.d96b9445b2d72p-353, INIT_U128( 0x00000000b598c1ac, 0x6b31800000000000 ) },
+  { 0x1.f8fedfa1f1fdcp+96, 0x1.6e54dd28dca9cp-828, INIT_U128( 0x00000001f8fedfa1, 0xf1fdc00000000000 ) },
+  { 0x1.4b5ec85896bd9p+96, 0x1.e4251105c84a2p-828, INIT_U128( 0x000000014b5ec858, 0x96bd900000000000 ) },
+  { 0x1.bc8f0397791ep+96, 0x1.b514998d6a293p-828, INIT_U128( 0x00000001bc8f0397, 0x791e000000000000 ) },
+  { 0x1.056a2dfe0ad46p+96, 0x1.c98d1a15931a3p-828, INIT_U128( 0x00000001056a2dfe, 0x0ad4600000000000 ) },
+  { 0x1.21192da842326p+97, 0x1.64dbdea4c9b7cp-314, INIT_U128( 0x0000000242325b50, 0x8464c00000000000 ) },
+  { 0x1.95c269f12b84dp+97, 0x1.31bfb62e637f7p-314, INIT_U128( 0x000000032b84d3e2, 0x5709a00000000000 ) },
+  { 0x1.f4a37e69e947p+97, 0x1.2c5cc8d658b99p-314, INIT_U128( 0x00000003e946fcd3, 0xd28e000000000000 ) },
+  { 0x1.73c765e6e78ecp+97, 0x1.34b3a3f469674p-314, INIT_U128( 0x00000002e78ecbcd, 0xcf1d800000000000 ) },
+  { 0x1.cafa773f95f4fp+98, 0x1.28d3338851a66p-207, INIT_U128( 0x000000072be9dcfe, 0x57d3c00000000000 ) },
+  { 0x1.7b7b6aa4f6f6ep+98, 0x1.2c99252259324p-207, INIT_U128( 0x00000005ededaa93, 0xdbdb800000000000 ) },
+  { 0x1.8c39a15918734p+98, 0x1.cdcd60b79b9acp-207, INIT_U128( 0x0000000630e68564, 0x61cd000000000000 ) },
+  { 0x1.da220eb5b4442p+98, 0x1.cd0b52b19a16bp-207, INIT_U128( 0x0000000768883ad6, 0xd110800000000000 ) },
+  { 0x1.0f34e6fa1e69dp+99, 0x1.596be5d4b2d7cp-575, INIT_U128( 0x0000000879a737d0, 0xf34e800000000000 ) },
+  { 0x1.5318af1aa6316p+99, 0x1.b2d7a70f65af5p-575, INIT_U128( 0x0000000a98c578d5, 0x318b000000000000 ) },
+  { 0x1.2f3f14005e7e2p+99, 0x1.bf1a11977e342p-575, INIT_U128( 0x0000000979f8a002, 0xf3f1000000000000 ) },
+  { 0x1.c95da71792bb5p+99, 0x1.b673d5896ce7bp-575, INIT_U128( 0x0000000e4aed38bc, 0x95da800000000000 ) },
+  { 0x1.fdead1dffbd5ap+100, 0x1.5a750c74b4ea2p-189, INIT_U128( 0x0000001fdead1dff, 0xbd5a000000000000 ) },
+  { 0x1.fe8116bbfd023p+100, 0x1.c0314d4580629p-189, INIT_U128( 0x0000001fe8116bbf, 0xd023000000000000 ) },
+  { 0x1.9177917922ef2p+100, 0x1.b5d94c0f6bb2ap-189, INIT_U128( 0x0000001917791792, 0x2ef2000000000000 ) },
+  { 0x1.39ab1bf273564p+100, 0x1.4de96f889bd2ep-189, INIT_U128( 0x000000139ab1bf27, 0x3564000000000000 ) },
+  { 0x1.52e21a8aa5c44p+101, 0x0.0000075bfbb25p-1022, INIT_U128( 0x0000002a5c435154, 0xb888000000000000 ) },
+  { 0x1.c362c16186c58p+101, 0x0.00000417370ap-1022, INIT_U128( 0x000000386c582c30, 0xd8b0000000000000 ) },
+  { 0x1.dcbb50a5b976ap+101, 0x0.000005dcb4b01p-1022, INIT_U128( 0x0000003b976a14b7, 0x2ed4000000000000 ) },
+  { 0x1.fae77febf5cfp+101, 0x0.00000567e1492p-1022, INIT_U128( 0x0000003f5ceffd7e, 0xb9e0000000000000 ) },
+  { 0x1.b94feaf3729fdp+102, 0x1.eb191b6bd6324p-32, INIT_U128( 0x0000006e53fabcdc, 0xa7f4000000000000 ) },
+  { 0x1.ffcd483fff9a9p+102, 0x1.f6c951e5ed92ap-32, INIT_U128( 0x0000007ff3520fff, 0xe6a4000000000000 ) },
+  { 0x1.f4a75991e94ebp+102, 0x1.5d81e52ebb03cp-32, INIT_U128( 0x0000007d29d6647a, 0x53ac000000000000 ) },
+  { 0x1.d9014a81b202ap+102, 0x1.1d1a5c4c3a34cp-32, INIT_U128( 0x000000764052a06c, 0x80a8000000000000 ) },
+  { 0x1.d33430cda6686p+103, 0x1.58855d10b10acp-383, INIT_U128( 0x000000e99a1866d3, 0x3430000000000000 ) },
+  { 0x1.5e801048bd002p+103, 0x1.54a52a72a94a6p-383, INIT_U128( 0x000000af4008245e, 0x8010000000000000 ) },
+  { 0x1.590a254ab2144p+103, 0x1.0307881c060f1p-383, INIT_U128( 0x000000ac8512a559, 0x0a20000000000000 ) },
+  { 0x1.6dfaecf0dbf5ep+103, 0x1.54a4b130a9496p-383, INIT_U128( 0x000000b6fd76786d, 0xfaf0000000000000 ) },
+  { 0x1.011eb1b0023d6p+104, 0x1.39df71da73beep-20, INIT_U128( 0x000001011eb1b002, 0x3d60000000000000 ) },
+  { 0x1.5ee2142ebdc42p+104, 0x1.43553d9086aa8p-20, INIT_U128( 0x0000015ee2142ebd, 0xc420000000000000 ) },
+  { 0x1.100502e4200ap+104, 0x1.534d9720a69b3p-20, INIT_U128( 0x000001100502e420, 0x0a00000000000000 ) },
+  { 0x1.2aefc5ac55df8p+104, 0x1.f553d14beaa7ap-20, INIT_U128( 0x0000012aefc5ac55, 0xdf80000000000000 ) },
+  { 0x1.d0559891a0ab3p+105, 0x1.87b2239d0f644p-316, INIT_U128( 0x000003a0ab312341, 0x5660000000000000 ) },
+  { 0x1.0929084e12521p+105, 0x1.e345fe55c68cp-316, INIT_U128( 0x0000021252109c24, 0xa420000000000000 ) },
+  { 0x1.70c26be4e184ep+105, 0x1.7a6011c6f4c02p-316, INIT_U128( 0x000002e184d7c9c3, 0x09c0000000000000 ) },
+  { 0x1.8c345d471868cp+105, 0x1.b4a5d903694bbp-316, INIT_U128( 0x0000031868ba8e30, 0xd180000000000000 ) },
+  { 0x1.66bf48cecd7e9p+106, 0x1.d926e3a9b24dcp-461, INIT_U128( 0x0000059afd233b35, 0xfa40000000000000 ) },
+  { 0x1.caf9648595f2cp+106, 0x1.3edd8e587dbb2p-461, INIT_U128( 0x0000072be5921657, 0xcb00000000000000 ) },
+  { 0x1.0ff9c5341ff38p+106, 0x1.5ecf4954bd9e9p-461, INIT_U128( 0x0000043fe714d07f, 0xce00000000000000 ) },
+  { 0x1.010bbf3602178p+106, 0x1.90183dfb20308p-461, INIT_U128( 0x000004042efcd808, 0x5e00000000000000 ) },
+  { 0x1.90f1198321e23p+107, 0x1.18ec849e31d9p-508, INIT_U128( 0x00000c8788cc190f, 0x1180000000000000 ) },
+  { 0x1.88876447110ecp+107, 0x1.3dbc4a967b78ap-508, INIT_U128( 0x00000c443b223888, 0x7600000000000000 ) },
+  { 0x1.e955d221d2abap+107, 0x1.1f1f0f983e3e2p-508, INIT_U128( 0x00000f4aae910e95, 0x5d00000000000000 ) },
+  { 0x1.79931aacf3264p+107, 0x1.5c6d47c2b8da9p-508, INIT_U128( 0x00000bcc98d56799, 0x3200000000000000 ) },
+  { 0x1.49a28e4c93452p+108, 0x1.0819b1c610336p-949, INIT_U128( 0x0000149a28e4c934, 0x5200000000000000 ) },
+  { 0x1.b61387f56c271p+108, 0x1.fda021a7fb404p-949, INIT_U128( 0x00001b61387f56c2, 0x7100000000000000 ) },
+  { 0x1.8364b71506c97p+108, 0x1.972f04852e5ep-949, INIT_U128( 0x000018364b71506c, 0x9700000000000000 ) },
+  { 0x1.a902b10952056p+108, 0x1.aee9cfcf5dd3ap-949, INIT_U128( 0x00001a902b109520, 0x5600000000000000 ) },
+  { 0x1.d96f1c29b2de4p+109, 0x1.8415bcdf082b8p-695, INIT_U128( 0x00003b2de385365b, 0xc800000000000000 ) },
+  { 0x1.e8dfe3f9d1bfcp+109, 0x1.c31bb2ed86377p-695, INIT_U128( 0x00003d1bfc7f3a37, 0xf800000000000000 ) },
+  { 0x1.3a0cc61474199p+109, 0x1.06f2795a0de4fp-695, INIT_U128( 0x0000274198c28e83, 0x3200000000000000 ) },
+  { 0x1.1f3e5f4a3e7ccp+109, 0x1.d7cc8b85af992p-695, INIT_U128( 0x000023e7cbe947cf, 0x9800000000000000 ) },
+  { 0x1.dc6af865b8d5fp+110, 0x1.b5d225136ba45p-22, INIT_U128( 0x0000771abe196e35, 0x7c00000000000000 ) },
+  { 0x1.4ca9fcc69954p+110, 0x1.eaa024f7d5404p-22, INIT_U128( 0x0000532a7f31a655, 0x0000000000000000 ) },
+  { 0x1.414c72988298ep+110, 0x1.a488753b4910fp-22, INIT_U128( 0x000050531ca620a6, 0x3800000000000000 ) },
+  { 0x1.dc6b39dbb8d67p+110, 0x1.068d04580d1ap-22, INIT_U128( 0x0000771ace76ee35, 0x9c00000000000000 ) },
+  { 0x1.74e50e90e9ca2p+111, 0x1.3f289f007e514p-487, INIT_U128( 0x0000ba72874874e5, 0x1000000000000000 ) },
+  { 0x1.5f0a2632be145p+111, 0x1.f790c8d9ef219p-487, INIT_U128( 0x0000af8513195f0a, 0x2800000000000000 ) },
+  { 0x1.d422bf03a8458p+111, 0x1.fbacd695f759bp-487, INIT_U128( 0x0000ea115f81d422, 0xc000000000000000 ) },
+  { 0x1.d9b5cefdb36bap+111, 0x1.c968397b92d07p-487, INIT_U128( 0x0000ecdae77ed9b5, 0xd000000000000000 ) },
+  { 0x1.f3e78001e7cfp+112, 0x1.4b4970649692ep-744, INIT_U128( 0x0001f3e78001e7cf, 0x0000000000000000 ) },
+  { 0x1.17c200042f84p+112, 0x1.8d8e8a711b1d1p-744, INIT_U128( 0x000117c200042f84, 0x0000000000000000 ) },
+  { 0x1.0fe4fde81fcap+112, 0x1.256616f84acc3p-744, INIT_U128( 0x00010fe4fde81fca, 0x0000000000000000 ) },
+  { 0x1.f2773487e4ee6p+112, 0x1.075dd87a0ebbbp-744, INIT_U128( 0x0001f2773487e4ee, 0x6000000000000000 ) },
+  { 0x1.7f2646f4fe4c9p+113, 0x1.bde0f7d57bc1fp-552, INIT_U128( 0x0002fe4c8de9fc99, 0x2000000000000000 ) },
+  { 0x1.552a71c4aa54ep+113, 0x1.5f75cb84beebap-552, INIT_U128( 0x0002aa54e38954a9, 0xc000000000000000 ) },
+  { 0x1.016211fe02c42p+113, 0x1.755a3ebeeab48p-552, INIT_U128( 0x000202c423fc0588, 0x4000000000000000 ) },
+  { 0x1.2da4a1405b494p+113, 0x1.c7b5a5b78f6b5p-552, INIT_U128( 0x00025b494280b692, 0x8000000000000000 ) },
+  { 0x1.454dcac88a9bap+114, 0x1.39e2f64073c5fp-541, INIT_U128( 0x000515372b222a6e, 0x8000000000000000 ) },
+  { 0x1.f5769ad1eaed4p+114, 0x1.273e2b1a4e7c6p-541, INIT_U128( 0x0007d5da6b47abb5, 0x0000000000000000 ) },
+  { 0x1.52bf04cca57ep+114, 0x1.2d92613e5b24cp-541, INIT_U128( 0x00054afc133295f8, 0x0000000000000000 ) },
+  { 0x1.1b84a7fc37095p+114, 0x1.8b3360311666cp-541, INIT_U128( 0x00046e129ff0dc25, 0x4000000000000000 ) },
+  { 0x1.82ef082b05de1p+115, 0x1.5205f44aa40bep-62, INIT_U128( 0x000c177841582ef0, 0x8000000000000000 ) },
+  { 0x1.bafcbdf175f98p+115, 0x1.a9ea203153d44p-62, INIT_U128( 0x000dd7e5ef8bafcc, 0x0000000000000000 ) },
+  { 0x1.64b56bd8c96aep+115, 0x1.42c3a3da85874p-62, INIT_U128( 0x000b25ab5ec64b57, 0x0000000000000000 ) },
+  { 0x1.55c9b3b6ab936p+115, 0x1.48f9d11a91f3ap-62, INIT_U128( 0x000aae4d9db55c9b, 0x0000000000000000 ) },
+  { 0x1.5321473ca6429p+116, 0x1.181db1c6303b6p-92, INIT_U128( 0x0015321473ca6429, 0x0000000000000000 ) },
+  { 0x1.cdc20a3f9b841p+116, 0x1.50077ebca00fp-92, INIT_U128( 0x001cdc20a3f9b841, 0x0000000000000000 ) },
+  { 0x1.92fee4f925fdcp+116, 0x1.028f8f16051f2p-92, INIT_U128( 0x00192fee4f925fdc, 0x0000000000000000 ) },
+  { 0x1.1bab55e43756ap+116, 0x1.40855e9c810acp-92, INIT_U128( 0x0011bab55e43756a, 0x0000000000000000 ) },
+  { 0x1.db43e365b687dp+117, 0x1.41baf8828375fp-732, INIT_U128( 0x003b687c6cb6d0fa, 0x0000000000000000 ) },
+  { 0x1.a552a1674aa54p+117, 0x1.baa689f9754d1p-732, INIT_U128( 0x0034aa542ce954a8, 0x0000000000000000 ) },
+  { 0x1.fe56ea4dfcadep+117, 0x1.5684197ead083p-732, INIT_U128( 0x003fcadd49bf95bc, 0x0000000000000000 ) },
+  { 0x1.6c9b7a08d937p+117, 0x1.2337f65a466ffp-732, INIT_U128( 0x002d936f411b26e0, 0x0000000000000000 ) },
+  { 0x1.076705de0ecep+118, 0x1.98bce7cb3179dp-844, INIT_U128( 0x0041d9c17783b380, 0x0000000000000000 ) },
+  { 0x1.9b22f3533645ep+118, 0x1.74f31c32e9e64p-844, INIT_U128( 0x0066c8bcd4cd9178, 0x0000000000000000 ) },
+  { 0x1.c1d136e583a27p+118, 0x1.767b76ceecf6fp-844, INIT_U128( 0x0070744db960e89c, 0x0000000000000000 ) },
+  { 0x1.c885934b910b3p+118, 0x1.cd65a24d9acb4p-844, INIT_U128( 0x00722164d2e442cc, 0x0000000000000000 ) },
+  { 0x1.fb2c8085f659p+119, 0x1.4485cbfc890bap-269, INIT_U128( 0x00fd964042fb2c80, 0x0000000000000000 ) },
+  { 0x1.78eebbd0f1dd8p+119, 0x1.373c5ea66e78cp-269, INIT_U128( 0x00bc775de878eec0, 0x0000000000000000 ) },
+  { 0x1.1cbf9dfc397f4p+119, 0x1.3a787bfa74f1p-269, INIT_U128( 0x008e5fcefe1cbfa0, 0x0000000000000000 ) },
+  { 0x1.0b37d4fc166fap+119, 0x1.3ec2f1ca7d85ep-269, INIT_U128( 0x00859bea7e0b37d0, 0x0000000000000000 ) },
+  { 0x1.f7d41d9befa83p+119, 0x1.737e360ee6fc7p+45, INIT_U128( 0x00fbea0ecdf7d418, 0x00002e6fc6c1dcdf ) },
+  { 0x1.5f9adea4bf35cp+119, 0x1.f2a34d73e5469p+45, INIT_U128( 0x00afcd6f525f9ae0, 0x00003e5469ae7ca8 ) },
+  { 0x1.1625a2842c4b4p+119, 0x1.dffa968fbff53p+45, INIT_U128( 0x008b12d1421625a0, 0x00003bff52d1f7fe ) },
+  { 0x1.77b9ea5cef73ep+119, 0x1.03d8c57207b18p+45, INIT_U128( 0x00bbdcf52e77b9f0, 0x0000207b18ae40f6 ) },
+  { 0x1.80c91d3d01924p+119, 0x1.dc2e84abb85dp+45, INIT_U128( 0x00c0648e9e80c920, 0x00003b85d095770b ) },
+  { 0x1.a13e2abb427c5p+119, 0x1.be5baad37cb75p+45, INIT_U128( 0x00d09f155da13e28, 0x000037cb755a6f96 ) },
+  { 0x1.3d0a39607a147p+119, 0x1.5d047beeba09p+45, INIT_U128( 0x009e851cb03d0a38, 0x00002ba08f7dd741 ) },
+  { 0x1.e914f2edd229fp+119, 0x1.a87d6b5150faep+45, INIT_U128( 0x00f48a7976e914f8, 0x0000350fad6a2a1f ) },
+  { 0x1.1bfba16037f74p+119, 0x1.f1667f23e2cdp+45, INIT_U128( 0x008dfdd0b01bfba0, 0x00003e2ccfe47c59 ) },
+  { 0x1.e409cc97c8139p+119, 0x1.760ec180ec1d8p+45, INIT_U128( 0x00f204e64be409c8, 0x00002ec1d8301d83 ) },
+  { 0x1.56095810ac12bp+119, 0x1.fd72c88bfae59p+45, INIT_U128( 0x00ab04ac08560958, 0x00003fae59117f5c ) },
+  { 0x1.014b8dfe02972p+119, 0x1.5051ec7ca0a3ep+45, INIT_U128( 0x0080a5c6ff014b90, 0x00002a0a3d8f9414 ) },
+  { 0x1.2c8071285900ep+119, 0x1.2df331a65be66p+45, INIT_U128( 0x00964038942c8070, 0x000025be6634cb7c ) },
+  { 0x1.ec4edc7bd89dbp+119, 0x1.5689910cad132p+45, INIT_U128( 0x00f6276e3dec4ed8, 0x00002ad1322195a2 ) },
+  { 0x1.acab22af59564p+120, 0x1.4302395486047p-789, INIT_U128( 0x01acab22af595640, 0x0000000000000000 ) },
+  { 0x1.6d777264daeeep+120, 0x1.a94793a7528f2p-789, INIT_U128( 0x016d777264daeee0, 0x0000000000000000 ) },
+  { 0x1.179807f22f301p+120, 0x1.f73f61cbee7ecp-789, INIT_U128( 0x01179807f22f3010, 0x0000000000000000 ) },
+  { 0x1.2306ea1a460dep+120, 0x1.7f322c14fe646p-789, INIT_U128( 0x012306ea1a460de0, 0x0000000000000000 ) },
+  { 0x1.4b89313897126p+121, 0x1.24f0cf5649e1ap-97, INIT_U128( 0x02971262712e24c0, 0x0000000000000000 ) },
+  { 0x1.977d3ba32efa8p+121, 0x1.8d5ae3291ab5cp-97, INIT_U128( 0x032efa77465df500, 0x0000000000000000 ) },
+  { 0x1.4951cf1a92a3ap+121, 0x1.ff3e4eaffe7cap-97, INIT_U128( 0x0292a39e35254740, 0x0000000000000000 ) },
+  { 0x1.6487918ac90f2p+121, 0x1.8e5a3b671cb48p-97, INIT_U128( 0x02c90f2315921e40, 0x0000000000000000 ) },
+  { 0x1.a71b395f4e367p+122, 0x1.4851ea7e90a3ep-824, INIT_U128( 0x069c6ce57d38d9c0, 0x0000000000000000 ) },
+  { 0x1.58097738b012fp+122, 0x1.a4e92d4749d26p-824, INIT_U128( 0x056025dce2c04bc0, 0x0000000000000000 ) },
+  { 0x1.431d2f4a863a6p+122, 0x1.ff84386fff087p-824, INIT_U128( 0x050c74bd2a18e980, 0x0000000000000000 ) },
+  { 0x1.9f1393ad3e272p+122, 0x1.d7c0a6ddaf815p-824, INIT_U128( 0x067c4e4eb4f89c80, 0x0000000000000000 ) },
+  { 0x1.8983ab7913076p+123, 0x1.fa01bdc9f4037p-825, INIT_U128( 0x0c4c1d5bc8983b00, 0x0000000000000000 ) },
+  { 0x1.f3551e67e6aa4p+123, 0x1.029c51f00538ap-825, INIT_U128( 0x0f9aa8f33f355200, 0x0000000000000000 ) },
+  { 0x1.a9da0d1d53b42p+123, 0x1.b5c718d36b8e3p-825, INIT_U128( 0x0d4ed068ea9da100, 0x0000000000000000 ) },
+  { 0x1.95c79e2b2b8f4p+123, 0x1.384e4c32709cap-825, INIT_U128( 0x0cae3cf1595c7a00, 0x0000000000000000 ) },
+  { 0x1.73af4650e75e9p+124, 0x1.ec4b7265d896fp-92, INIT_U128( 0x173af4650e75e900, 0x0000000000000000 ) },
+  { 0x1.5e15a3a0bc2b4p+124, 0x1.2ff859825ff0bp-92, INIT_U128( 0x15e15a3a0bc2b400, 0x0000000000000000 ) },
+  { 0x1.4dbe24a69b7c4p+124, 0x1.f5b685e5eb6d1p-92, INIT_U128( 0x14dbe24a69b7c400, 0x0000000000000000 ) },
+  { 0x1.cd65ac439acb6p+124, 0x1.164d910a2c9b2p-92, INIT_U128( 0x1cd65ac439acb600, 0x0000000000000000 ) },
+  { 0x1.f5bbadd5eb775p+125, 0x1.b16aeddb62d5ep-83, INIT_U128( 0x3eb775babd6eea00, 0x0000000000000000 ) },
+  { 0x1.b66841396cd08p+125, 0x1.f9957d69f32afp-83, INIT_U128( 0x36cd08272d9a1000, 0x0000000000000000 ) },
+  { 0x1.05be50760b7cap+125, 0x1.f9ebf8ddf3d7fp-83, INIT_U128( 0x20b7ca0ec16f9400, 0x0000000000000000 ) },
+  { 0x1.51312262a2624p+125, 0x1.11c69084238d2p-83, INIT_U128( 0x2a26244c544c4800, 0x0000000000000000 ) },
+  { 0x1.30eab12c61d56p+126, 0x1.f1e0e851e3c1dp-773, INIT_U128( 0x4c3aac4b18755800, 0x0000000000000000 ) },
+  { 0x1.ac34bcf158698p+126, 0x1.a55b126f4ab62p-773, INIT_U128( 0x6b0d2f3c561a6000, 0x0000000000000000 ) },
+  { 0x1.02246a040448ep+126, 0x1.61a83652c3507p-773, INIT_U128( 0x40891a8101123800, 0x0000000000000000 ) },
+  { 0x1.ae881f955d104p+126, 0x1.c694aaa18d296p-773, INIT_U128( 0x6ba207e557441000, 0x0000000000000000 ) },
+  { 0x1.08016b641002ep+127, 0x1.23a890d047512p-406, INIT_U128( 0x8400b5b208017000, 0x0000000000000000 ) },
+  { 0x1.3d90e7327b21dp+127, 0x1.0aa664c0154ccp-406, INIT_U128( 0x9ec873993d90e800, 0x0000000000000000 ) },
+  { 0x1.ff931617ff263p+127, 0x1.47d5e2a08fabcp-406, INIT_U128( 0xffc98b0bff931800, 0x0000000000000000 ) },
+  { 0x1.f565d1dfeacbap+127, 0x1.827bc0c304f78p-406, INIT_U128( 0xfab2e8eff565d000, 0x0000000000000000 ) },
+  { 0x1.fe1985fbfc33p+128, 0x1.a6e724cd4dce4p-1021, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.54709ed6a8e14p+128, 0x1.74a32d1ce9466p-1021, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.a8407dcf5081p+128, 0x1.ffb065f3ff60cp-1021, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.7a1cfcf2f43ap+130, 0x1.84bb5ea30976cp-548, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.6bddaae8d7bb6p+194, 0x1.de64c609bcc99p-754, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.5c6c29d4b8d85p+146, 0x1.0644f6d60c89fp-345, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.c6ce8bcf8d9d2p+158, 0x1.443b2e7088766p-26, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.747f6aa0e8feep+168, 0x1.fe663ae9fccc8p-143, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.26ee550a4ddcap+173, 0x1.951f708f2a3eep-45, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.3ecfe0ea7d9fcp+189, 0x1.9cb53593396a7p-619, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.9d394a313a729p+190, 0x1.9ecfff853dap-150, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.244a568a4894bp+241, 0x1.e23f42d7c47e9p-956, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.b564bb276ac98p+398, 0x1.7af8d1ccf5f1ap+215, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.ee06b389dc0d7p+468, 0x1.b54fa74f6a9f5p+322, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.ac0045bd58009p+588, 0x1.ba99775b7532fp-365, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.692078cad240fp+661, 0x1.bc4a88a978951p+356, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.be1e09dd7c3c1p+765, 0x1.428bc5dc85178p-848, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.5f5554c4beaaap+853, 0x1.a9e23bdd53c48p-807, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.748e96ace91d3p+993, 0x1.ab54ab4b56a96p-22, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { 0x1.0629e7380c53dp+1023, 0x1.c0b4b15581696p+323, INIT_U128( 0xffffffffffffffff, 0xffffffffffffffff ) },
+  { INFINITY, 0x1.21bff4bc437fep-333, ((__uint128_t) 0xffffffffffffffff << 64) | 0xffffffffffffffff },
+  { INFINITY, 0x1.47e9a0228fd34p-333, ((__uint128_t) 0xffffffffffffffff << 64) | 0xffffffffffffffff }
+};
+
+static const int numTests = sizeof(testList) / sizeof(struct testCase);
+

compiler-rt/trunk/test/builtins/Unit/ppc/fixunstfti_test.c

+// REQUIRES: target-is-powerpc64le
+// RUN: %clang_builtins %s %librt -o %t && %run %t
+
+#include <stdint.h>
+#include <stdio.h>
+
+#include "fixunstfti_test.h"
+
+/* The long double representation, with the high and low portions of
+ * the long double, and the corresponding bit patterns of each double. */
+typedef union {
+  long double ld;
+  double d[2]; /* [0] is the high double, [1] is the low double. */
+  unsigned long long ull[2]; /* High and low doubles as 64-bit integers. */
+} ldUnion;
+
+__uint128_t __fixunstfti(long double);
+
+int main(int argc, char *argv[]) {
+  /* Necessary long double and (unsigned) 128 bit integer
+   * declarations used to compare the computed and expected results
+   * from converting the IBM double-double to int128. */
+  ldUnion ldInput;
+  __uint128_t expectedResult, computedResult;
+
+  for (int i = 0; i < numTests; ++i) {
+    /* Set the expected 128 bit integer and the high and low
+     * values of the long double input. */
+    ldInput.d[0] = testList[i].hiInput;
+    ldInput.d[1] = testList[i].loInput;
+    expectedResult = testList[i].result128;
+
+    /* Get the computed 128 bit integer from the long double->
+     * uint128 conversion, and check for errors between results. */
+    computedResult = __fixunstfti(ldInput.ld);
+
+    if (computedResult != expectedResult) {
+      printf("Error for __fixunstfti at input %La = ( %a , %a ):\n", ldInput.ld,
+             ldInput.d[0], ldInput.d[1]);
+      printf("\tExpected __uint128_t: 0x%016llx 0x%016llx\n",
+             (unsigned long long)(expectedResult >> 64),
+             (unsigned long long)expectedResult);
+      printf("\tComputed __uint128_t: 0x%016llx 0x%016llx\n\n",
+             (unsigned long long)(computedResult >> 64),
+             (unsigned long long)computedResult);
+
+      return 1;
+    }
+  }
+
+  return 0;
+}