soft float support

git-svn-id: svn://svn.savannah.nongnu.org/qemu/trunk@1332 c046a42c-6fe2-441c-8c8c-71466251a162

6 files changed, 7272 insertions, 0 deletions

diff --git a/fpu/softfloat-macros.h b/fpu/softfloat-macros.h
new file mode 100644
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+
+/*============================================================================
+
+This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
+Arithmetic Package, Release 2b.
+
+Written by John R. Hauser.  This work was made possible in part by the
+International Computer Science Institute, located at Suite 600, 1947 Center
+Street, Berkeley, California 94704.  Funding was partially provided by the
+National Science Foundation under grant MIP-9311980.  The original version
+of this code was written as part of a project to build a fixed-point vector
+processor in collaboration with the University of California at Berkeley,
+overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
+is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
+arithmetic/SoftFloat.html'.
+
+THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort has
+been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
+RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
+AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
+COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
+EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
+INSTITUTE (possibly via similar legal notice) AGAINST ALL LOSSES, COSTS, OR
+OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
+
+Derivative works are acceptable, even for commercial purposes, so long as
+(1) the source code for the derivative work includes prominent notice that
+the work is derivative, and (2) the source code includes prominent notice with
+these four paragraphs for those parts of this code that are retained.
+
+=============================================================================*/
+
+/*----------------------------------------------------------------------------
+| Shifts `a' right by the number of bits given in `count'.  If any nonzero
+| bits are shifted off, they are ``jammed'' into the least significant bit of
+| the result by setting the least significant bit to 1.  The value of `count'
+| can be arbitrarily large; in particular, if `count' is greater than 32, the
+| result will be either 0 or 1, depending on whether `a' is zero or nonzero.
+| The result is stored in the location pointed to by `zPtr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void shift32RightJamming( bits32 a, int16 count, bits32 *zPtr )
+{
+    bits32 z;
+
+    if ( count == 0 ) {
+        z = a;
+    }
+    else if ( count < 32 ) {
+        z = ( a>>count ) | ( ( a<<( ( - count ) & 31 ) ) != 0 );
+    }
+    else {
+        z = ( a != 0 );
+    }
+    *zPtr = z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Shifts `a' right by the number of bits given in `count'.  If any nonzero
+| bits are shifted off, they are ``jammed'' into the least significant bit of
+| the result by setting the least significant bit to 1.  The value of `count'
+| can be arbitrarily large; in particular, if `count' is greater than 64, the
+| result will be either 0 or 1, depending on whether `a' is zero or nonzero.
+| The result is stored in the location pointed to by `zPtr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void shift64RightJamming( bits64 a, int16 count, bits64 *zPtr )
+{
+    bits64 z;
+
+    if ( count == 0 ) {
+        z = a;
+    }
+    else if ( count < 64 ) {
+        z = ( a>>count ) | ( ( a<<( ( - count ) & 63 ) ) != 0 );
+    }
+    else {
+        z = ( a != 0 );
+    }
+    *zPtr = z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Shifts the 128-bit value formed by concatenating `a0' and `a1' right by 64
+| _plus_ the number of bits given in `count'.  The shifted result is at most
+| 64 nonzero bits; this is stored at the location pointed to by `z0Ptr'.  The
+| bits shifted off form a second 64-bit result as follows:  The _last_ bit
+| shifted off is the most-significant bit of the extra result, and the other
+| 63 bits of the extra result are all zero if and only if _all_but_the_last_
+| bits shifted off were all zero.  This extra result is stored in the location
+| pointed to by `z1Ptr'.  The value of `count' can be arbitrarily large.
+|     (This routine makes more sense if `a0' and `a1' are considered to form
+| a fixed-point value with binary point between `a0' and `a1'.  This fixed-
+| point value is shifted right by the number of bits given in `count', and
+| the integer part of the result is returned at the location pointed to by
+| `z0Ptr'.  The fractional part of the result may be slightly corrupted as
+| described above, and is returned at the location pointed to by `z1Ptr'.)
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ shift64ExtraRightJamming(
+     bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr )
+{
+    bits64 z0, z1;
+    int8 negCount = ( - count ) & 63;
+
+    if ( count == 0 ) {
+        z1 = a1;
+        z0 = a0;
+    }
+    else if ( count < 64 ) {
+        z1 = ( a0<<negCount ) | ( a1 != 0 );
+        z0 = a0>>count;
+    }
+    else {
+        if ( count == 64 ) {
+            z1 = a0 | ( a1 != 0 );
+        }
+        else {
+            z1 = ( ( a0 | a1 ) != 0 );
+        }
+        z0 = 0;
+    }
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Shifts the 128-bit value formed by concatenating `a0' and `a1' right by the
+| number of bits given in `count'.  Any bits shifted off are lost.  The value
+| of `count' can be arbitrarily large; in particular, if `count' is greater
+| than 128, the result will be 0.  The result is broken into two 64-bit pieces
+| which are stored at the locations pointed to by `z0Ptr' and `z1Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ shift128Right(
+     bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr )
+{
+    bits64 z0, z1;
+    int8 negCount = ( - count ) & 63;
+
+    if ( count == 0 ) {
+        z1 = a1;
+        z0 = a0;
+    }
+    else if ( count < 64 ) {
+        z1 = ( a0<<negCount ) | ( a1>>count );
+        z0 = a0>>count;
+    }
+    else {
+        z1 = ( count < 64 ) ? ( a0>>( count & 63 ) ) : 0;
+        z0 = 0;
+    }
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Shifts the 128-bit value formed by concatenating `a0' and `a1' right by the
+| number of bits given in `count'.  If any nonzero bits are shifted off, they
+| are ``jammed'' into the least significant bit of the result by setting the
+| least significant bit to 1.  The value of `count' can be arbitrarily large;
+| in particular, if `count' is greater than 128, the result will be either
+| 0 or 1, depending on whether the concatenation of `a0' and `a1' is zero or
+| nonzero.  The result is broken into two 64-bit pieces which are stored at
+| the locations pointed to by `z0Ptr' and `z1Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ shift128RightJamming(
+     bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr )
+{
+    bits64 z0, z1;
+    int8 negCount = ( - count ) & 63;
+
+    if ( count == 0 ) {
+        z1 = a1;
+        z0 = a0;
+    }
+    else if ( count < 64 ) {
+        z1 = ( a0<<negCount ) | ( a1>>count ) | ( ( a1<<negCount ) != 0 );
+        z0 = a0>>count;
+    }
+    else {
+        if ( count == 64 ) {
+            z1 = a0 | ( a1 != 0 );
+        }
+        else if ( count < 128 ) {
+            z1 = ( a0>>( count & 63 ) ) | ( ( ( a0<<negCount ) | a1 ) != 0 );
+        }
+        else {
+            z1 = ( ( a0 | a1 ) != 0 );
+        }
+        z0 = 0;
+    }
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Shifts the 192-bit value formed by concatenating `a0', `a1', and `a2' right
+| by 64 _plus_ the number of bits given in `count'.  The shifted result is
+| at most 128 nonzero bits; these are broken into two 64-bit pieces which are
+| stored at the locations pointed to by `z0Ptr' and `z1Ptr'.  The bits shifted
+| off form a third 64-bit result as follows:  The _last_ bit shifted off is
+| the most-significant bit of the extra result, and the other 63 bits of the
+| extra result are all zero if and only if _all_but_the_last_ bits shifted off
+| were all zero.  This extra result is stored in the location pointed to by
+| `z2Ptr'.  The value of `count' can be arbitrarily large.
+|     (This routine makes more sense if `a0', `a1', and `a2' are considered
+| to form a fixed-point value with binary point between `a1' and `a2'.  This
+| fixed-point value is shifted right by the number of bits given in `count',
+| and the integer part of the result is returned at the locations pointed to
+| by `z0Ptr' and `z1Ptr'.  The fractional part of the result may be slightly
+| corrupted as described above, and is returned at the location pointed to by
+| `z2Ptr'.)
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ shift128ExtraRightJamming(
+     bits64 a0,
+     bits64 a1,
+     bits64 a2,
+     int16 count,
+     bits64 *z0Ptr,
+     bits64 *z1Ptr,
+     bits64 *z2Ptr
+ )
+{
+    bits64 z0, z1, z2;
+    int8 negCount = ( - count ) & 63;
+
+    if ( count == 0 ) {
+        z2 = a2;
+        z1 = a1;
+        z0 = a0;
+    }
+    else {
+        if ( count < 64 ) {
+            z2 = a1<<negCount;
+            z1 = ( a0<<negCount ) | ( a1>>count );
+            z0 = a0>>count;
+        }
+        else {
+            if ( count == 64 ) {
+                z2 = a1;
+                z1 = a0;
+            }
+            else {
+                a2 |= a1;
+                if ( count < 128 ) {
+                    z2 = a0<<negCount;
+                    z1 = a0>>( count & 63 );
+                }
+                else {
+                    z2 = ( count == 128 ) ? a0 : ( a0 != 0 );
+                    z1 = 0;
+                }
+            }
+            z0 = 0;
+        }
+        z2 |= ( a2 != 0 );
+    }
+    *z2Ptr = z2;
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Shifts the 128-bit value formed by concatenating `a0' and `a1' left by the
+| number of bits given in `count'.  Any bits shifted off are lost.  The value
+| of `count' must be less than 64.  The result is broken into two 64-bit
+| pieces which are stored at the locations pointed to by `z0Ptr' and `z1Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ shortShift128Left(
+     bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr )
+{
+
+    *z1Ptr = a1<<count;
+    *z0Ptr =
+        ( count == 0 ) ? a0 : ( a0<<count ) | ( a1>>( ( - count ) & 63 ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Shifts the 192-bit value formed by concatenating `a0', `a1', and `a2' left
+| by the number of bits given in `count'.  Any bits shifted off are lost.
+| The value of `count' must be less than 64.  The result is broken into three
+| 64-bit pieces which are stored at the locations pointed to by `z0Ptr',
+| `z1Ptr', and `z2Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ shortShift192Left(
+     bits64 a0,
+     bits64 a1,
+     bits64 a2,
+     int16 count,
+     bits64 *z0Ptr,
+     bits64 *z1Ptr,
+     bits64 *z2Ptr
+ )
+{
+    bits64 z0, z1, z2;
+    int8 negCount;
+
+    z2 = a2<<count;
+    z1 = a1<<count;
+    z0 = a0<<count;
+    if ( 0 < count ) {
+        negCount = ( ( - count ) & 63 );
+        z1 |= a2>>negCount;
+        z0 |= a1>>negCount;
+    }
+    *z2Ptr = z2;
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Adds the 128-bit value formed by concatenating `a0' and `a1' to the 128-bit
+| value formed by concatenating `b0' and `b1'.  Addition is modulo 2^128, so
+| any carry out is lost.  The result is broken into two 64-bit pieces which
+| are stored at the locations pointed to by `z0Ptr' and `z1Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ add128(
+     bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 *z0Ptr, bits64 *z1Ptr )
+{
+    bits64 z1;
+
+    z1 = a1 + b1;
+    *z1Ptr = z1;
+    *z0Ptr = a0 + b0 + ( z1 < a1 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Adds the 192-bit value formed by concatenating `a0', `a1', and `a2' to the
+| 192-bit value formed by concatenating `b0', `b1', and `b2'.  Addition is
+| modulo 2^192, so any carry out is lost.  The result is broken into three
+| 64-bit pieces which are stored at the locations pointed to by `z0Ptr',
+| `z1Ptr', and `z2Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ add192(
+     bits64 a0,
+     bits64 a1,
+     bits64 a2,
+     bits64 b0,
+     bits64 b1,
+     bits64 b2,
+     bits64 *z0Ptr,
+     bits64 *z1Ptr,
+     bits64 *z2Ptr
+ )
+{
+    bits64 z0, z1, z2;
+    int8 carry0, carry1;
+
+    z2 = a2 + b2;
+    carry1 = ( z2 < a2 );
+    z1 = a1 + b1;
+    carry0 = ( z1 < a1 );
+    z0 = a0 + b0;
+    z1 += carry1;
+    z0 += ( z1 < carry1 );
+    z0 += carry0;
+    *z2Ptr = z2;
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Subtracts the 128-bit value formed by concatenating `b0' and `b1' from the
+| 128-bit value formed by concatenating `a0' and `a1'.  Subtraction is modulo
+| 2^128, so any borrow out (carry out) is lost.  The result is broken into two
+| 64-bit pieces which are stored at the locations pointed to by `z0Ptr' and
+| `z1Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ sub128(
+     bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 *z0Ptr, bits64 *z1Ptr )
+{
+
+    *z1Ptr = a1 - b1;
+    *z0Ptr = a0 - b0 - ( a1 < b1 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Subtracts the 192-bit value formed by concatenating `b0', `b1', and `b2'
+| from the 192-bit value formed by concatenating `a0', `a1', and `a2'.
+| Subtraction is modulo 2^192, so any borrow out (carry out) is lost.  The
+| result is broken into three 64-bit pieces which are stored at the locations
+| pointed to by `z0Ptr', `z1Ptr', and `z2Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ sub192(
+     bits64 a0,
+     bits64 a1,
+     bits64 a2,
+     bits64 b0,
+     bits64 b1,
+     bits64 b2,
+     bits64 *z0Ptr,
+     bits64 *z1Ptr,
+     bits64 *z2Ptr
+ )
+{
+    bits64 z0, z1, z2;
+    int8 borrow0, borrow1;
+
+    z2 = a2 - b2;
+    borrow1 = ( a2 < b2 );
+    z1 = a1 - b1;
+    borrow0 = ( a1 < b1 );
+    z0 = a0 - b0;
+    z0 -= ( z1 < borrow1 );
+    z1 -= borrow1;
+    z0 -= borrow0;
+    *z2Ptr = z2;
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Multiplies `a' by `b' to obtain a 128-bit product.  The product is broken
+| into two 64-bit pieces which are stored at the locations pointed to by
+| `z0Ptr' and `z1Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void mul64To128( bits64 a, bits64 b, bits64 *z0Ptr, bits64 *z1Ptr )
+{
+    bits32 aHigh, aLow, bHigh, bLow;
+    bits64 z0, zMiddleA, zMiddleB, z1;
+
+    aLow = a;
+    aHigh = a>>32;
+    bLow = b;
+    bHigh = b>>32;
+    z1 = ( (bits64) aLow ) * bLow;
+    zMiddleA = ( (bits64) aLow ) * bHigh;
+    zMiddleB = ( (bits64) aHigh ) * bLow;
+    z0 = ( (bits64) aHigh ) * bHigh;
+    zMiddleA += zMiddleB;
+    z0 += ( ( (bits64) ( zMiddleA < zMiddleB ) )<<32 ) + ( zMiddleA>>32 );
+    zMiddleA <<= 32;
+    z1 += zMiddleA;
+    z0 += ( z1 < zMiddleA );
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Multiplies the 128-bit value formed by concatenating `a0' and `a1' by
+| `b' to obtain a 192-bit product.  The product is broken into three 64-bit
+| pieces which are stored at the locations pointed to by `z0Ptr', `z1Ptr', and
+| `z2Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ mul128By64To192(
+     bits64 a0,
+     bits64 a1,
+     bits64 b,
+     bits64 *z0Ptr,
+     bits64 *z1Ptr,
+     bits64 *z2Ptr
+ )
+{
+    bits64 z0, z1, z2, more1;
+
+    mul64To128( a1, b, &z1, &z2 );
+    mul64To128( a0, b, &z0, &more1 );
+    add128( z0, more1, 0, z1, &z0, &z1 );
+    *z2Ptr = z2;
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Multiplies the 128-bit value formed by concatenating `a0' and `a1' to the
+| 128-bit value formed by concatenating `b0' and `b1' to obtain a 256-bit
+| product.  The product is broken into four 64-bit pieces which are stored at
+| the locations pointed to by `z0Ptr', `z1Ptr', `z2Ptr', and `z3Ptr'.
+*----------------------------------------------------------------------------*/
+
+INLINE void
+ mul128To256(
+     bits64 a0,
+     bits64 a1,
+     bits64 b0,
+     bits64 b1,
+     bits64 *z0Ptr,
+     bits64 *z1Ptr,
+     bits64 *z2Ptr,
+     bits64 *z3Ptr
+ )
+{
+    bits64 z0, z1, z2, z3;
+    bits64 more1, more2;
+
+    mul64To128( a1, b1, &z2, &z3 );
+    mul64To128( a1, b0, &z1, &more2 );
+    add128( z1, more2, 0, z2, &z1, &z2 );
+    mul64To128( a0, b0, &z0, &more1 );
+    add128( z0, more1, 0, z1, &z0, &z1 );
+    mul64To128( a0, b1, &more1, &more2 );
+    add128( more1, more2, 0, z2, &more1, &z2 );
+    add128( z0, z1, 0, more1, &z0, &z1 );
+    *z3Ptr = z3;
+    *z2Ptr = z2;
+    *z1Ptr = z1;
+    *z0Ptr = z0;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns an approximation to the 64-bit integer quotient obtained by dividing
+| `b' into the 128-bit value formed by concatenating `a0' and `a1'.  The
+| divisor `b' must be at least 2^63.  If q is the exact quotient truncated
+| toward zero, the approximation returned lies between q and q + 2 inclusive.
+| If the exact quotient q is larger than 64 bits, the maximum positive 64-bit
+| unsigned integer is returned.
+*----------------------------------------------------------------------------*/
+
+static bits64 estimateDiv128To64( bits64 a0, bits64 a1, bits64 b )
+{
+    bits64 b0, b1;
+    bits64 rem0, rem1, term0, term1;
+    bits64 z;
+
+    if ( b <= a0 ) return LIT64( 0xFFFFFFFFFFFFFFFF );
+    b0 = b>>32;
+    z = ( b0<<32 <= a0 ) ? LIT64( 0xFFFFFFFF00000000 ) : ( a0 / b0 )<<32;
+    mul64To128( b, z, &term0, &term1 );
+    sub128( a0, a1, term0, term1, &rem0, &rem1 );
+    while ( ( (sbits64) rem0 ) < 0 ) {
+        z -= LIT64( 0x100000000 );
+        b1 = b<<32;
+        add128( rem0, rem1, b0, b1, &rem0, &rem1 );
+    }
+    rem0 = ( rem0<<32 ) | ( rem1>>32 );
+    z |= ( b0<<32 <= rem0 ) ? 0xFFFFFFFF : rem0 / b0;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns an approximation to the square root of the 32-bit significand given
+| by `a'.  Considered as an integer, `a' must be at least 2^31.  If bit 0 of
+| `aExp' (the least significant bit) is 1, the integer returned approximates
+| 2^31*sqrt(`a'/2^31), where `a' is considered an integer.  If bit 0 of `aExp'
+| is 0, the integer returned approximates 2^31*sqrt(`a'/2^30).  In either
+| case, the approximation returned lies strictly within +/-2 of the exact
+| value.
+*----------------------------------------------------------------------------*/
+
+static bits32 estimateSqrt32( int16 aExp, bits32 a )
+{
+    static const bits16 sqrtOddAdjustments[] = {
+        0x0004, 0x0022, 0x005D, 0x00B1, 0x011D, 0x019F, 0x0236, 0x02E0,
+        0x039C, 0x0468, 0x0545, 0x0631, 0x072B, 0x0832, 0x0946, 0x0A67
+    };
+    static const bits16 sqrtEvenAdjustments[] = {
+        0x0A2D, 0x08AF, 0x075A, 0x0629, 0x051A, 0x0429, 0x0356, 0x029E,
+        0x0200, 0x0179, 0x0109, 0x00AF, 0x0068, 0x0034, 0x0012, 0x0002
+    };
+    int8 index;
+    bits32 z;
+
+    index = ( a>>27 ) & 15;
+    if ( aExp & 1 ) {
+        z = 0x4000 + ( a>>17 ) - sqrtOddAdjustments[ index ];
+        z = ( ( a / z )<<14 ) + ( z<<15 );
+        a >>= 1;
+    }
+    else {
+        z = 0x8000 + ( a>>17 ) - sqrtEvenAdjustments[ index ];
+        z = a / z + z;
+        z = ( 0x20000 <= z ) ? 0xFFFF8000 : ( z<<15 );
+        if ( z <= a ) return (bits32) ( ( (sbits32) a )>>1 );
+    }
+    return ( (bits32) ( ( ( (bits64) a )<<31 ) / z ) ) + ( z>>1 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the number of leading 0 bits before the most-significant 1 bit of
+| `a'.  If `a' is zero, 32 is returned.
+*----------------------------------------------------------------------------*/
+
+static int8 countLeadingZeros32( bits32 a )
+{
+    static const int8 countLeadingZerosHigh[] = {
+        8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4,
+        3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3,
+        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,
+        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
+    };
+    int8 shiftCount;
+
+    shiftCount = 0;
+    if ( a < 0x10000 ) {
+        shiftCount += 16;
+        a <<= 16;
+    }
+    if ( a < 0x1000000 ) {
+        shiftCount += 8;
+        a <<= 8;
+    }
+    shiftCount += countLeadingZerosHigh[ a>>24 ];
+    return shiftCount;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the number of leading 0 bits before the most-significant 1 bit of
+| `a'.  If `a' is zero, 64 is returned.
+*----------------------------------------------------------------------------*/
+
+static int8 countLeadingZeros64( bits64 a )
+{
+    int8 shiftCount;
+
+    shiftCount = 0;
+    if ( a < ( (bits64) 1 )<<32 ) {
+        shiftCount += 32;
+    }
+    else {
+        a >>= 32;
+    }
+    shiftCount += countLeadingZeros32( a );
+    return shiftCount;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1'
+| is equal to the 128-bit value formed by concatenating `b0' and `b1'.
+| Otherwise, returns 0.
+*----------------------------------------------------------------------------*/
+
+INLINE flag eq128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 )
+{
+
+    return ( a0 == b0 ) && ( a1 == b1 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is less
+| than or equal to the 128-bit value formed by concatenating `b0' and `b1'.
+| Otherwise, returns 0.
+*----------------------------------------------------------------------------*/
+
+INLINE flag le128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 )
+{
+
+    return ( a0 < b0 ) || ( ( a0 == b0 ) && ( a1 <= b1 ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is less
+| than the 128-bit value formed by concatenating `b0' and `b1'.  Otherwise,
+| returns 0.
+*----------------------------------------------------------------------------*/
+
+INLINE flag lt128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 )
+{
+
+    return ( a0 < b0 ) || ( ( a0 == b0 ) && ( a1 < b1 ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is
+| not equal to the 128-bit value formed by concatenating `b0' and `b1'.
+| Otherwise, returns 0.
+*----------------------------------------------------------------------------*/
+
+INLINE flag ne128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 )
+{
+
+    return ( a0 != b0 ) || ( a1 != b1 );
+
+}
+
diff --git a/fpu/softfloat-native.c b/fpu/softfloat-native.c
new file mode 100644
index 0000000..8259a7c
--- /dev/null
+++ b/fpu/softfloat-native.c
@@ -0,0 +1,262 @@
+/* Native implementation of soft float functions. Only a single status
+   context is supported */
+#include "softfloat.h"
+#include <math.h>
+
+void set_float_rounding_mode(int val STATUS_PARAM)
+{
+    STATUS(float_rounding_mode) = val;
+#if defined(_BSD) && !defined(__APPLE__)
+    fpsetround(val);
+#elif defined(__arm__)
+    /* nothing to do */
+#else
+    fesetround(val);
+#endif
+}
+
+#ifdef FLOATX80
+void set_floatx80_rounding_precision(int val STATUS_PARAM)
+{
+    STATUS(floatx80_rounding_precision) = val;
+}
+#endif
+
+#if defined(_BSD)
+#define lrint(d)		((int32_t)rint(d))
+#define llrint(d)		((int64_t)rint(d))
+#endif
+
+#if defined(__powerpc__)
+
+/* correct (but slow) PowerPC rint() (glibc version is incorrect) */
+double qemu_rint(double x)
+{
+    double y = 4503599627370496.0;
+    if (fabs(x) >= y)
+        return x;
+    if (x < 0) 
+        y = -y;
+    y = (x + y) - y;
+    if (y == 0.0)
+        y = copysign(y, x);
+    return y;
+}
+
+#define rint qemu_rint
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE integer-to-floating-point conversion routines.
+*----------------------------------------------------------------------------*/
+float32 int32_to_float32(int v STATUS_PARAM)
+{
+    return (float32)v;
+}
+
+float64 int32_to_float64(int v STATUS_PARAM)
+{
+    return (float64)v;
+}
+
+#ifdef FLOATX80
+floatx80 int32_to_floatx80(int v STATUS_PARAM)
+{
+    return (floatx80)v;
+}
+#endif
+float32 int64_to_float32( int64_t v STATUS_PARAM)
+{
+    return (float32)v;
+}
+float64 int64_to_float64( int64_t v STATUS_PARAM)
+{
+    return (float64)v;
+}
+#ifdef FLOATX80
+floatx80 int64_to_floatx80( int64_t v STATUS_PARAM)
+{
+    return (floatx80)v;
+}
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int float32_to_int32( float32 a STATUS_PARAM)
+{
+    return lrintf(a);
+}
+int float32_to_int32_round_to_zero( float32 a STATUS_PARAM)
+{
+    return (int)a;
+}
+int64_t float32_to_int64( float32 a STATUS_PARAM)
+{
+    return llrintf(a);
+}
+
+int64_t float32_to_int64_round_to_zero( float32 a STATUS_PARAM)
+{
+    return (int64_t)a;
+}
+
+float64 float32_to_float64( float32 a STATUS_PARAM)
+{
+    return a;
+}
+#ifdef FLOATX80
+floatx80 float32_to_floatx80( float32 a STATUS_PARAM)
+{
+    return a;
+}
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision operations.
+*----------------------------------------------------------------------------*/
+float32 float32_round_to_int( float32 a STATUS_PARAM)
+{
+    return rintf(a);
+}
+
+float32 float32_sqrt( float32 a STATUS_PARAM)
+{
+    return sqrtf(a);
+}
+char float32_is_signaling_nan( float32 a1)
+{
+    float32u u;
+    uint32_t a;
+    u.f = a1;
+    a = u.i;
+    return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );
+}
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int float64_to_int32( float64 a STATUS_PARAM)
+{
+    return lrint(a);
+}
+int float64_to_int32_round_to_zero( float64 a STATUS_PARAM)
+{
+    return (int)a;
+}
+int64_t float64_to_int64( float64 a STATUS_PARAM)
+{
+    return llrint(a);
+}
+int64_t float64_to_int64_round_to_zero( float64 a STATUS_PARAM)
+{
+    return (int64_t)a;
+}
+float32 float64_to_float32( float64 a STATUS_PARAM)
+{
+    return a;
+}
+#ifdef FLOATX80
+floatx80 float64_to_floatx80( float64 a STATUS_PARAM)
+{
+    return a;
+}
+#endif
+#ifdef FLOAT128
+float128 float64_to_float128( float64 a STATUS_PARAM)
+{
+    return a;
+}
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision operations.
+*----------------------------------------------------------------------------*/
+float64 float64_round_to_int( float64 a STATUS_PARAM )
+{
+#if defined(__arm__)
+    switch(STATUS(float_rounding_mode)) {
+    default:
+    case float_round_nearest_even:
+        asm("rndd %0, %1" : "=f" (a) : "f"(a));
+        break;
+    case float_round_down:
+        asm("rnddm %0, %1" : "=f" (a) : "f"(a));
+        break;
+    case float_round_up:
+        asm("rnddp %0, %1" : "=f" (a) : "f"(a));
+        break;
+    case float_round_to_zero:
+        asm("rnddz %0, %1" : "=f" (a) : "f"(a));
+        break;
+    }
+#else
+    return rint(a);
+#endif
+}
+
+float64 float64_sqrt( float64 a STATUS_PARAM)
+{
+    return sqrt(a);
+}
+char float64_is_signaling_nan( float64 a1)
+{
+    float64u u;
+    uint64_t a;
+    u.f = a1;
+    a = u.i;
+    return
+           ( ( ( a>>51 ) & 0xFFF ) == 0xFFE )
+        && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int floatx80_to_int32( floatx80 a STATUS_PARAM)
+{
+    return lrintl(a);
+}
+int floatx80_to_int32_round_to_zero( floatx80 a STATUS_PARAM)
+{
+    return (int)a;
+}
+int64_t floatx80_to_int64( floatx80 a STATUS_PARAM)
+{
+    return llrintl(a);
+}
+int64_t floatx80_to_int64_round_to_zero( floatx80 a STATUS_PARAM)
+{
+    return (int64_t)a;
+}
+float32 floatx80_to_float32( floatx80 a STATUS_PARAM)
+{
+    return a;
+}
+float64 floatx80_to_float64( floatx80 a STATUS_PARAM)
+{
+    return a;
+}
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision operations.
+*----------------------------------------------------------------------------*/
+floatx80 floatx80_round_to_int( floatx80 a STATUS_PARAM)
+{
+    return rintl(a);
+}
+floatx80 floatx80_sqrt( floatx80 a STATUS_PARAM)
+{
+    return sqrtl(a);
+}
+char floatx80_is_signaling_nan( floatx80 a1)
+{
+    floatx80u u;
+    u.f = a1;
+    return ( ( u.i.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( u.i.low<<1 );
+}
+
+#endif
diff --git a/fpu/softfloat-native.h b/fpu/softfloat-native.h
new file mode 100644
index 0000000..709df51
--- /dev/null
+++ b/fpu/softfloat-native.h
@@ -0,0 +1,312 @@
+/* Native implementation of soft float functions */
+#include <math.h>
+#if defined(_BSD) && !defined(__APPLE__)
+#include <ieeefp.h>
+#else
+#include <fenv.h>
+#endif
+
+typedef float float32;
+typedef double float64;
+#ifdef FLOATX80
+typedef long double floatx80;
+#endif
+
+typedef union {
+    float32 f;
+    uint32_t i;
+} float32u;
+typedef union {
+    float64 f;
+    uint64_t i;
+} float64u;
+#ifdef FLOATX80
+typedef union {
+    floatx80 f;
+    struct {
+        uint64_t low;
+        uint16_t high;
+    } i;
+} floatx80u;
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE floating-point rounding mode.
+*----------------------------------------------------------------------------*/
+#if defined(_BSD) && !defined(__APPLE__)
+enum {
+    float_round_nearest_even = FP_RN,
+    float_round_down         = FE_RM,
+    float_round_up           = FE_RP,
+    float_round_to_zero      = FE_RZ
+};
+#elif defined(__arm__)
+enum {
+    float_round_nearest_even = 0,
+    float_round_down         = 1,
+    float_round_up           = 2,
+    float_round_to_zero      = 3
+};
+#else
+enum {
+    float_round_nearest_even = FE_TONEAREST,
+    float_round_down         = FE_DOWNWARD,
+    float_round_up           = FE_UPWARD,
+    float_round_to_zero      = FE_TOWARDZERO
+};
+#endif
+
+typedef struct float_status {
+    signed char float_rounding_mode;
+#ifdef FLOATX80
+    signed char floatx80_rounding_precision;
+#endif
+} float_status;
+
+void set_float_rounding_mode(int val STATUS_PARAM);
+#ifdef FLOATX80
+void set_floatx80_rounding_precision(int val STATUS_PARAM);
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE integer-to-floating-point conversion routines.
+*----------------------------------------------------------------------------*/
+float32 int32_to_float32( int STATUS_PARAM);
+float64 int32_to_float64( int STATUS_PARAM);
+#ifdef FLOATX80
+floatx80 int32_to_floatx80( int STATUS_PARAM);
+#endif
+#ifdef FLOAT128
+float128 int32_to_float128( int STATUS_PARAM);
+#endif
+float32 int64_to_float32( int64_t STATUS_PARAM);
+float64 int64_to_float64( int64_t STATUS_PARAM);
+#ifdef FLOATX80
+floatx80 int64_to_floatx80( int64_t STATUS_PARAM);
+#endif
+#ifdef FLOAT128
+float128 int64_to_float128( int64_t STATUS_PARAM);
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int float32_to_int32( float32  STATUS_PARAM);
+int float32_to_int32_round_to_zero( float32  STATUS_PARAM);
+int64_t float32_to_int64( float32  STATUS_PARAM);
+int64_t float32_to_int64_round_to_zero( float32  STATUS_PARAM);
+float64 float32_to_float64( float32  STATUS_PARAM);
+#ifdef FLOATX80
+floatx80 float32_to_floatx80( float32  STATUS_PARAM);
+#endif
+#ifdef FLOAT128
+float128 float32_to_float128( float32  STATUS_PARAM);
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision operations.
+*----------------------------------------------------------------------------*/
+float32 float32_round_to_int( float32  STATUS_PARAM);
+INLINE float32 float32_add( float32 a, float32 b STATUS_PARAM)
+{
+    return a + b;
+}
+INLINE float32 float32_sub( float32 a, float32 b STATUS_PARAM)
+{
+    return a - b;
+}
+INLINE float32 float32_mul( float32 a, float32 b STATUS_PARAM)
+{
+    return a * b;
+}
+INLINE float32 float32_div( float32 a, float32 b STATUS_PARAM)
+{
+    return a / b;
+}
+float32 float32_rem( float32, float32  STATUS_PARAM);
+float32 float32_sqrt( float32  STATUS_PARAM);
+INLINE char float32_eq( float32 a, float32 b STATUS_PARAM)
+{
+    /* XXX: incorrect because it can raise an exception */
+    return a == b;
+}
+INLINE char float32_le( float32 a, float32 b STATUS_PARAM)
+{
+    return a <= b;
+}
+INLINE char float32_lt( float32 a, float32 b STATUS_PARAM)
+{
+    return a < b;
+}
+INLINE char float32_eq_signaling( float32 a, float32 b STATUS_PARAM)
+{
+    return a == b;
+}
+INLINE char float32_le_quiet( float32 a, float32 b STATUS_PARAM)
+{
+    return islessequal(a, b);
+}
+INLINE char float32_lt_quiet( float32 a, float32 b STATUS_PARAM)
+{
+    return isless(a, b);
+}
+char float32_is_signaling_nan( float32 );
+
+INLINE float32 float32_abs(float32 a)
+{
+    return fabsf(a);
+}
+
+INLINE float32 float32_chs(float32 a)
+{
+    return -a;
+}
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int float64_to_int32( float64 STATUS_PARAM );
+int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
+int64_t float64_to_int64( float64 STATUS_PARAM );
+int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
+float32 float64_to_float32( float64 STATUS_PARAM );
+#ifdef FLOATX80
+floatx80 float64_to_floatx80( float64 STATUS_PARAM );
+#endif
+#ifdef FLOAT128
+float128 float64_to_float128( float64 STATUS_PARAM );
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision operations.
+*----------------------------------------------------------------------------*/
+float64 float64_round_to_int( float64 STATUS_PARAM );
+INLINE float64 float64_add( float64 a, float64 b STATUS_PARAM)
+{
+    return a + b;
+}
+INLINE float64 float64_sub( float64 a, float64 b STATUS_PARAM)
+{
+    return a - b;
+}
+INLINE float64 float64_mul( float64 a, float64 b STATUS_PARAM)
+{
+    return a * b;
+}
+INLINE float64 float64_div( float64 a, float64 b STATUS_PARAM)
+{
+    return a / b;
+}
+float64 float64_rem( float64, float64 STATUS_PARAM );
+float64 float64_sqrt( float64 STATUS_PARAM );
+INLINE char float64_eq( float64 a, float64 b STATUS_PARAM)
+{
+    return a == b;
+}
+INLINE char float64_le( float64 a, float64 b STATUS_PARAM)
+{
+    return a <= b;
+}
+INLINE char float64_lt( float64 a, float64 b STATUS_PARAM)
+{
+    return a < b;
+}
+INLINE char float64_eq_signaling( float64 a, float64 b STATUS_PARAM)
+{
+    return a == b;
+}
+INLINE char float64_le_quiet( float64 a, float64 b STATUS_PARAM)
+{
+    return islessequal(a, b);
+}
+INLINE char float64_lt_quiet( float64 a, float64 b STATUS_PARAM)
+{
+    return isless(a, b);
+
+}
+char float64_is_signaling_nan( float64 );
+
+INLINE float64 float64_abs(float64 a)
+{
+    return fabs(a);
+}
+
+INLINE float64 float64_chs(float64 a)
+{
+    return -a;
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int floatx80_to_int32( floatx80 STATUS_PARAM );
+int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
+int64_t floatx80_to_int64( floatx80 STATUS_PARAM);
+int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM);
+float32 floatx80_to_float32( floatx80 STATUS_PARAM );
+float64 floatx80_to_float64( floatx80 STATUS_PARAM );
+#ifdef FLOAT128
+float128 floatx80_to_float128( floatx80 STATUS_PARAM );
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision operations.
+*----------------------------------------------------------------------------*/
+floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
+INLINE floatx80 floatx80_add( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a + b;
+}
+INLINE floatx80 floatx80_sub( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a - b;
+}
+INLINE floatx80 floatx80_mul( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a * b;
+}
+INLINE floatx80 floatx80_div( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a / b;
+}
+floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
+floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
+INLINE char floatx80_eq( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a == b;
+}
+INLINE char floatx80_le( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a <= b;
+}
+INLINE char floatx80_lt( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a < b;
+}
+INLINE char floatx80_eq_signaling( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return a == b;
+}
+INLINE char floatx80_le_quiet( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return islessequal(a, b);
+}
+INLINE char floatx80_lt_quiet( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    return isless(a, b);
+
+}
+char floatx80_is_signaling_nan( floatx80 );
+
+INLINE floatx80 floatx80_abs(floatx80 a)
+{
+    return fabsl(a);
+}
+
+INLINE floatx80 floatx80_chs(floatx80 a)
+{
+    return -a;
+}
+#endif
diff --git a/fpu/softfloat-specialize.h b/fpu/softfloat-specialize.h
new file mode 100644
index 0000000..d430f58
--- /dev/null
+++ b/fpu/softfloat-specialize.h
@@ -0,0 +1,464 @@
+
+/*============================================================================
+
+This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
+Arithmetic Package, Release 2b.
+
+Written by John R. Hauser.  This work was made possible in part by the
+International Computer Science Institute, located at Suite 600, 1947 Center
+Street, Berkeley, California 94704.  Funding was partially provided by the
+National Science Foundation under grant MIP-9311980.  The original version
+of this code was written as part of a project to build a fixed-point vector
+processor in collaboration with the University of California at Berkeley,
+overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
+is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
+arithmetic/SoftFloat.html'.
+
+THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort has
+been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
+RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
+AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
+COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
+EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
+INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
+OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
+
+Derivative works are acceptable, even for commercial purposes, so long as
+(1) the source code for the derivative work includes prominent notice that
+the work is derivative, and (2) the source code includes prominent notice with
+these four paragraphs for those parts of this code that are retained.
+
+=============================================================================*/
+
+/*----------------------------------------------------------------------------
+| Underflow tininess-detection mode, statically initialized to default value.
+| (The declaration in `softfloat.h' must match the `int8' type here.)
+*----------------------------------------------------------------------------*/
+int8 float_detect_tininess = float_tininess_after_rounding;
+
+/*----------------------------------------------------------------------------
+| Raises the exceptions specified by `flags'.  Floating-point traps can be
+| defined here if desired.  It is currently not possible for such a trap
+| to substitute a result value.  If traps are not implemented, this routine
+| should be simply `float_exception_flags |= flags;'.
+*----------------------------------------------------------------------------*/
+
+void float_raise( int8 flags STATUS_PARAM )
+{
+
+    STATUS(float_exception_flags) |= flags;
+
+}
+
+/*----------------------------------------------------------------------------
+| Internal canonical NaN format.
+*----------------------------------------------------------------------------*/
+typedef struct {
+    flag sign;
+    bits64 high, low;
+} commonNaNT;
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated single-precision NaN.
+*----------------------------------------------------------------------------*/
+#define float32_default_nan 0xFFC00000
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is a NaN;
+| otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag float32_is_nan( float32 a )
+{
+
+    return ( 0xFF000000 < (bits32) ( a<<1 ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is a signaling
+| NaN; otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag float32_is_signaling_nan( float32 a )
+{
+
+    return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point NaN
+| `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid
+| exception is raised.
+*----------------------------------------------------------------------------*/
+
+static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
+{
+    commonNaNT z;
+
+    if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
+    z.sign = a>>31;
+    z.low = 0;
+    z.high = ( (bits64) a )<<41;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the canonical NaN `a' to the single-
+| precision floating-point format.
+*----------------------------------------------------------------------------*/
+
+static float32 commonNaNToFloat32( commonNaNT a )
+{
+
+    return ( ( (bits32) a.sign )<<31 ) | 0x7FC00000 | ( a.high>>41 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes two single-precision floating-point values `a' and `b', one of which
+| is a NaN, and returns the appropriate NaN result.  If either `a' or `b' is a
+| signaling NaN, the invalid exception is raised.
+*----------------------------------------------------------------------------*/
+
+static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
+{
+    flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
+
+    aIsNaN = float32_is_nan( a );
+    aIsSignalingNaN = float32_is_signaling_nan( a );
+    bIsNaN = float32_is_nan( b );
+    bIsSignalingNaN = float32_is_signaling_nan( b );
+    a |= 0x00400000;
+    b |= 0x00400000;
+    if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
+    if ( aIsSignalingNaN ) {
+        if ( bIsSignalingNaN ) goto returnLargerSignificand;
+        return bIsNaN ? b : a;
+    }
+    else if ( aIsNaN ) {
+        if ( bIsSignalingNaN | ! bIsNaN ) return a;
+ returnLargerSignificand:
+        if ( (bits32) ( a<<1 ) < (bits32) ( b<<1 ) ) return b;
+        if ( (bits32) ( b<<1 ) < (bits32) ( a<<1 ) ) return a;
+        return ( a < b ) ? a : b;
+    }
+    else {
+        return b;
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated double-precision NaN.
+*----------------------------------------------------------------------------*/
+#define float64_default_nan LIT64( 0xFFF8000000000000 )
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is a NaN;
+| otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag float64_is_nan( float64 a )
+{
+
+    return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is a signaling
+| NaN; otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag float64_is_signaling_nan( float64 a )
+{
+
+    return
+           ( ( ( a>>51 ) & 0xFFF ) == 0xFFE )
+        && ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point NaN
+| `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid
+| exception is raised.
+*----------------------------------------------------------------------------*/
+
+static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
+{
+    commonNaNT z;
+
+    if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
+    z.sign = a>>63;
+    z.low = 0;
+    z.high = a<<12;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the canonical NaN `a' to the double-
+| precision floating-point format.
+*----------------------------------------------------------------------------*/
+
+static float64 commonNaNToFloat64( commonNaNT a )
+{
+
+    return
+          ( ( (bits64) a.sign )<<63 )
+        | LIT64( 0x7FF8000000000000 )
+        | ( a.high>>12 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes two double-precision floating-point values `a' and `b', one of which
+| is a NaN, and returns the appropriate NaN result.  If either `a' or `b' is a
+| signaling NaN, the invalid exception is raised.
+*----------------------------------------------------------------------------*/
+
+static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
+{
+    flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
+
+    aIsNaN = float64_is_nan( a );
+    aIsSignalingNaN = float64_is_signaling_nan( a );
+    bIsNaN = float64_is_nan( b );
+    bIsSignalingNaN = float64_is_signaling_nan( b );
+    a |= LIT64( 0x0008000000000000 );
+    b |= LIT64( 0x0008000000000000 );
+    if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
+    if ( aIsSignalingNaN ) {
+        if ( bIsSignalingNaN ) goto returnLargerSignificand;
+        return bIsNaN ? b : a;
+    }
+    else if ( aIsNaN ) {
+        if ( bIsSignalingNaN | ! bIsNaN ) return a;
+ returnLargerSignificand:
+        if ( (bits64) ( a<<1 ) < (bits64) ( b<<1 ) ) return b;
+        if ( (bits64) ( b<<1 ) < (bits64) ( a<<1 ) ) return a;
+        return ( a < b ) ? a : b;
+    }
+    else {
+        return b;
+    }
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated extended double-precision NaN.  The
+| `high' and `low' values hold the most- and least-significant bits,
+| respectively.
+*----------------------------------------------------------------------------*/
+#define floatx80_default_nan_high 0xFFFF
+#define floatx80_default_nan_low  LIT64( 0xC000000000000000 )
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is a
+| NaN; otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_is_nan( floatx80 a )
+{
+
+    return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is a
+| signaling NaN; otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_is_signaling_nan( floatx80 a )
+{
+    bits64 aLow;
+
+    aLow = a.low & ~ LIT64( 0x4000000000000000 );
+    return
+           ( ( a.high & 0x7FFF ) == 0x7FFF )
+        && (bits64) ( aLow<<1 )
+        && ( a.low == aLow );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point NaN `a' to the canonical NaN format.  If `a' is a signaling NaN, the
+| invalid exception is raised.
+*----------------------------------------------------------------------------*/
+
+static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
+{
+    commonNaNT z;
+
+    if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
+    z.sign = a.high>>15;
+    z.low = 0;
+    z.high = a.low<<1;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the canonical NaN `a' to the extended
+| double-precision floating-point format.
+*----------------------------------------------------------------------------*/
+
+static floatx80 commonNaNToFloatx80( commonNaNT a )
+{
+    floatx80 z;
+
+    z.low = LIT64( 0xC000000000000000 ) | ( a.high>>1 );
+    z.high = ( ( (bits16) a.sign )<<15 ) | 0x7FFF;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes two extended double-precision floating-point values `a' and `b', one
+| of which is a NaN, and returns the appropriate NaN result.  If either `a' or
+| `b' is a signaling NaN, the invalid exception is raised.
+*----------------------------------------------------------------------------*/
+
+static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
+{
+    flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
+
+    aIsNaN = floatx80_is_nan( a );
+    aIsSignalingNaN = floatx80_is_signaling_nan( a );
+    bIsNaN = floatx80_is_nan( b );
+    bIsSignalingNaN = floatx80_is_signaling_nan( b );
+    a.low |= LIT64( 0xC000000000000000 );
+    b.low |= LIT64( 0xC000000000000000 );
+    if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
+    if ( aIsSignalingNaN ) {
+        if ( bIsSignalingNaN ) goto returnLargerSignificand;
+        return bIsNaN ? b : a;
+    }
+    else if ( aIsNaN ) {
+        if ( bIsSignalingNaN | ! bIsNaN ) return a;
+ returnLargerSignificand:
+        if ( a.low < b.low ) return b;
+        if ( b.low < a.low ) return a;
+        return ( a.high < b.high ) ? a : b;
+    }
+    else {
+        return b;
+    }
+
+}
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated quadruple-precision NaN.  The `high' and
+| `low' values hold the most- and least-significant bits, respectively.
+*----------------------------------------------------------------------------*/
+#define float128_default_nan_high LIT64( 0xFFFF800000000000 )
+#define float128_default_nan_low  LIT64( 0x0000000000000000 )
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is a NaN;
+| otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag float128_is_nan( float128 a )
+{
+
+    return
+           ( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) )
+        && ( a.low || ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is a
+| signaling NaN; otherwise returns 0.
+*----------------------------------------------------------------------------*/
+
+flag float128_is_signaling_nan( float128 a )
+{
+
+    return
+           ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE )
+        && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point NaN
+| `a' to the canonical NaN format.  If `a' is a signaling NaN, the invalid
+| exception is raised.
+*----------------------------------------------------------------------------*/
+
+static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
+{
+    commonNaNT z;
+
+    if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
+    z.sign = a.high>>63;
+    shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the canonical NaN `a' to the quadruple-
+| precision floating-point format.
+*----------------------------------------------------------------------------*/
+
+static float128 commonNaNToFloat128( commonNaNT a )
+{
+    float128 z;
+
+    shift128Right( a.high, a.low, 16, &z.high, &z.low );
+    z.high |= ( ( (bits64) a.sign )<<63 ) | LIT64( 0x7FFF800000000000 );
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes two quadruple-precision floating-point values `a' and `b', one of
+| which is a NaN, and returns the appropriate NaN result.  If either `a' or
+| `b' is a signaling NaN, the invalid exception is raised.
+*----------------------------------------------------------------------------*/
+
+static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
+{
+    flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
+
+    aIsNaN = float128_is_nan( a );
+    aIsSignalingNaN = float128_is_signaling_nan( a );
+    bIsNaN = float128_is_nan( b );
+    bIsSignalingNaN = float128_is_signaling_nan( b );
+    a.high |= LIT64( 0x0000800000000000 );
+    b.high |= LIT64( 0x0000800000000000 );
+    if ( aIsSignalingNaN | bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
+    if ( aIsSignalingNaN ) {
+        if ( bIsSignalingNaN ) goto returnLargerSignificand;
+        return bIsNaN ? b : a;
+    }
+    else if ( aIsNaN ) {
+        if ( bIsSignalingNaN | ! bIsNaN ) return a;
+ returnLargerSignificand:
+        if ( lt128( a.high<<1, a.low, b.high<<1, b.low ) ) return b;
+        if ( lt128( b.high<<1, b.low, a.high<<1, a.low ) ) return a;
+        return ( a.high < b.high ) ? a : b;
+    }
+    else {
+        return b;
+    }
+
+}
+
+#endif
+
diff --git a/fpu/softfloat.c b/fpu/softfloat.c
new file mode 100644
index 0000000..ad57fd9
--- /dev/null
+++ b/fpu/softfloat.c
@@ -0,0 +1,5185 @@
+
+/*============================================================================
+
+This C source file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
+Package, Release 2b.
+
+Written by John R. Hauser.  This work was made possible in part by the
+International Computer Science Institute, located at Suite 600, 1947 Center
+Street, Berkeley, California 94704.  Funding was partially provided by the
+National Science Foundation under grant MIP-9311980.  The original version
+of this code was written as part of a project to build a fixed-point vector
+processor in collaboration with the University of California at Berkeley,
+overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
+is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
+arithmetic/SoftFloat.html'.
+
+THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort has
+been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
+RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
+AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
+COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
+EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
+INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
+OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
+
+Derivative works are acceptable, even for commercial purposes, so long as
+(1) the source code for the derivative work includes prominent notice that
+the work is derivative, and (2) the source code includes prominent notice with
+these four paragraphs for those parts of this code that are retained.
+
+=============================================================================*/
+
+#include "softfloat.h"
+
+/*----------------------------------------------------------------------------
+| Primitive arithmetic functions, including multi-word arithmetic, and
+| division and square root approximations.  (Can be specialized to target if
+| desired.)
+*----------------------------------------------------------------------------*/
+#include "softfloat-macros.h"
+
+/*----------------------------------------------------------------------------
+| Functions and definitions to determine:  (1) whether tininess for underflow
+| is detected before or after rounding by default, (2) what (if anything)
+| happens when exceptions are raised, (3) how signaling NaNs are distinguished
+| from quiet NaNs, (4) the default generated quiet NaNs, and (5) how NaNs
+| are propagated from function inputs to output.  These details are target-
+| specific.
+*----------------------------------------------------------------------------*/
+#include "softfloat-specialize.h"
+
+void set_float_rounding_mode(int val STATUS_PARAM)
+{
+    STATUS(float_rounding_mode) = val;
+}
+
+#ifdef FLOATX80
+void set_floatx80_rounding_precision(int val STATUS_PARAM)
+{
+    STATUS(floatx80_rounding_precision) = val;
+}
+#endif
+
+/*----------------------------------------------------------------------------
+| Takes a 64-bit fixed-point value `absZ' with binary point between bits 6
+| and 7, and returns the properly rounded 32-bit integer corresponding to the
+| input.  If `zSign' is 1, the input is negated before being converted to an
+| integer.  Bit 63 of `absZ' must be zero.  Ordinarily, the fixed-point input
+| is simply rounded to an integer, with the inexact exception raised if the
+| input cannot be represented exactly as an integer.  However, if the fixed-
+| point input is too large, the invalid exception is raised and the largest
+| positive or negative integer is returned.
+*----------------------------------------------------------------------------*/
+
+static int32 roundAndPackInt32( flag zSign, bits64 absZ STATUS_PARAM)
+{
+    int8 roundingMode;
+    flag roundNearestEven;
+    int8 roundIncrement, roundBits;
+    int32 z;
+
+    roundingMode = STATUS(float_rounding_mode);
+    roundNearestEven = ( roundingMode == float_round_nearest_even );
+    roundIncrement = 0x40;
+    if ( ! roundNearestEven ) {
+        if ( roundingMode == float_round_to_zero ) {
+            roundIncrement = 0;
+        }
+        else {
+            roundIncrement = 0x7F;
+            if ( zSign ) {
+                if ( roundingMode == float_round_up ) roundIncrement = 0;
+            }
+            else {
+                if ( roundingMode == float_round_down ) roundIncrement = 0;
+            }
+        }
+    }
+    roundBits = absZ & 0x7F;
+    absZ = ( absZ + roundIncrement )>>7;
+    absZ &= ~ ( ( ( roundBits ^ 0x40 ) == 0 ) & roundNearestEven );
+    z = absZ;
+    if ( zSign ) z = - z;
+    if ( ( absZ>>32 ) || ( z && ( ( z < 0 ) ^ zSign ) ) ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return zSign ? (sbits32) 0x80000000 : 0x7FFFFFFF;
+    }
+    if ( roundBits ) STATUS(float_exception_flags) |= float_flag_inexact;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes the 128-bit fixed-point value formed by concatenating `absZ0' and
+| `absZ1', with binary point between bits 63 and 64 (between the input words),
+| and returns the properly rounded 64-bit integer corresponding to the input.
+| If `zSign' is 1, the input is negated before being converted to an integer.
+| Ordinarily, the fixed-point input is simply rounded to an integer, with
+| the inexact exception raised if the input cannot be represented exactly as
+| an integer.  However, if the fixed-point input is too large, the invalid
+| exception is raised and the largest positive or negative integer is
+| returned.
+*----------------------------------------------------------------------------*/
+
+static int64 roundAndPackInt64( flag zSign, bits64 absZ0, bits64 absZ1 STATUS_PARAM)
+{
+    int8 roundingMode;
+    flag roundNearestEven, increment;
+    int64 z;
+
+    roundingMode = STATUS(float_rounding_mode);
+    roundNearestEven = ( roundingMode == float_round_nearest_even );
+    increment = ( (sbits64) absZ1 < 0 );
+    if ( ! roundNearestEven ) {
+        if ( roundingMode == float_round_to_zero ) {
+            increment = 0;
+        }
+        else {
+            if ( zSign ) {
+                increment = ( roundingMode == float_round_down ) && absZ1;
+            }
+            else {
+                increment = ( roundingMode == float_round_up ) && absZ1;
+            }
+        }
+    }
+    if ( increment ) {
+        ++absZ0;
+        if ( absZ0 == 0 ) goto overflow;
+        absZ0 &= ~ ( ( (bits64) ( absZ1<<1 ) == 0 ) & roundNearestEven );
+    }
+    z = absZ0;
+    if ( zSign ) z = - z;
+    if ( z && ( ( z < 0 ) ^ zSign ) ) {
+ overflow:
+        float_raise( float_flag_invalid STATUS_VAR);
+        return
+              zSign ? (sbits64) LIT64( 0x8000000000000000 )
+            : LIT64( 0x7FFFFFFFFFFFFFFF );
+    }
+    if ( absZ1 ) STATUS(float_exception_flags) |= float_flag_inexact;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the fraction bits of the single-precision floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE bits32 extractFloat32Frac( float32 a )
+{
+
+    return a & 0x007FFFFF;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the exponent bits of the single-precision floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE int16 extractFloat32Exp( float32 a )
+{
+
+    return ( a>>23 ) & 0xFF;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the sign bit of the single-precision floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE flag extractFloat32Sign( float32 a )
+{
+
+    return a>>31;
+
+}
+
+/*----------------------------------------------------------------------------
+| Normalizes the subnormal single-precision floating-point value represented
+| by the denormalized significand `aSig'.  The normalized exponent and
+| significand are stored at the locations pointed to by `zExpPtr' and
+| `zSigPtr', respectively.
+*----------------------------------------------------------------------------*/
+
+static void
+ normalizeFloat32Subnormal( bits32 aSig, int16 *zExpPtr, bits32 *zSigPtr )
+{
+    int8 shiftCount;
+
+    shiftCount = countLeadingZeros32( aSig ) - 8;
+    *zSigPtr = aSig<<shiftCount;
+    *zExpPtr = 1 - shiftCount;
+
+}
+
+/*----------------------------------------------------------------------------
+| Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
+| single-precision floating-point value, returning the result.  After being
+| shifted into the proper positions, the three fields are simply added
+| together to form the result.  This means that any integer portion of `zSig'
+| will be added into the exponent.  Since a properly normalized significand
+| will have an integer portion equal to 1, the `zExp' input should be 1 less
+| than the desired result exponent whenever `zSig' is a complete, normalized
+| significand.
+*----------------------------------------------------------------------------*/
+
+INLINE float32 packFloat32( flag zSign, int16 zExp, bits32 zSig )
+{
+
+    return ( ( (bits32) zSign )<<31 ) + ( ( (bits32) zExp )<<23 ) + zSig;
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and significand `zSig', and returns the proper single-precision floating-
+| point value corresponding to the abstract input.  Ordinarily, the abstract
+| value is simply rounded and packed into the single-precision format, with
+| the inexact exception raised if the abstract input cannot be represented
+| exactly.  However, if the abstract value is too large, the overflow and
+| inexact exceptions are raised and an infinity or maximal finite value is
+| returned.  If the abstract value is too small, the input value is rounded to
+| a subnormal number, and the underflow and inexact exceptions are raised if
+| the abstract input cannot be represented exactly as a subnormal single-
+| precision floating-point number.
+|     The input significand `zSig' has its binary point between bits 30
+| and 29, which is 7 bits to the left of the usual location.  This shifted
+| significand must be normalized or smaller.  If `zSig' is not normalized,
+| `zExp' must be 0; in that case, the result returned is a subnormal number,
+| and it must not require rounding.  In the usual case that `zSig' is
+| normalized, `zExp' must be 1 less than the ``true'' floating-point exponent.
+| The handling of underflow and overflow follows the IEC/IEEE Standard for
+| Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float32 roundAndPackFloat32( flag zSign, int16 zExp, bits32 zSig STATUS_PARAM)
+{
+    int8 roundingMode;
+    flag roundNearestEven;
+    int8 roundIncrement, roundBits;
+    flag isTiny;
+
+    roundingMode = STATUS(float_rounding_mode);
+    roundNearestEven = ( roundingMode == float_round_nearest_even );
+    roundIncrement = 0x40;
+    if ( ! roundNearestEven ) {
+        if ( roundingMode == float_round_to_zero ) {
+            roundIncrement = 0;
+        }
+        else {
+            roundIncrement = 0x7F;
+            if ( zSign ) {
+                if ( roundingMode == float_round_up ) roundIncrement = 0;
+            }
+            else {
+                if ( roundingMode == float_round_down ) roundIncrement = 0;
+            }
+        }
+    }
+    roundBits = zSig & 0x7F;
+    if ( 0xFD <= (bits16) zExp ) {
+        if (    ( 0xFD < zExp )
+             || (    ( zExp == 0xFD )
+                  && ( (sbits32) ( zSig + roundIncrement ) < 0 ) )
+           ) {
+            float_raise( float_flag_overflow | float_flag_inexact STATUS_VAR);
+            return packFloat32( zSign, 0xFF, 0 ) - ( roundIncrement == 0 );
+        }
+        if ( zExp < 0 ) {
+            isTiny =
+                   ( STATUS(float_detect_tininess) == float_tininess_before_rounding )
+                || ( zExp < -1 )
+                || ( zSig + roundIncrement < 0x80000000 );
+            shift32RightJamming( zSig, - zExp, &zSig );
+            zExp = 0;
+            roundBits = zSig & 0x7F;
+            if ( isTiny && roundBits ) float_raise( float_flag_underflow STATUS_VAR);
+        }
+    }
+    if ( roundBits ) STATUS(float_exception_flags) |= float_flag_inexact;
+    zSig = ( zSig + roundIncrement )>>7;
+    zSig &= ~ ( ( ( roundBits ^ 0x40 ) == 0 ) & roundNearestEven );
+    if ( zSig == 0 ) zExp = 0;
+    return packFloat32( zSign, zExp, zSig );
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and significand `zSig', and returns the proper single-precision floating-
+| point value corresponding to the abstract input.  This routine is just like
+| `roundAndPackFloat32' except that `zSig' does not have to be normalized.
+| Bit 31 of `zSig' must be zero, and `zExp' must be 1 less than the ``true''
+| floating-point exponent.
+*----------------------------------------------------------------------------*/
+
+static float32
+ normalizeRoundAndPackFloat32( flag zSign, int16 zExp, bits32 zSig STATUS_PARAM)
+{
+    int8 shiftCount;
+
+    shiftCount = countLeadingZeros32( zSig ) - 1;
+    return roundAndPackFloat32( zSign, zExp - shiftCount, zSig<<shiftCount STATUS_VAR);
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the fraction bits of the double-precision floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE bits64 extractFloat64Frac( float64 a )
+{
+
+    return a & LIT64( 0x000FFFFFFFFFFFFF );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the exponent bits of the double-precision floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE int16 extractFloat64Exp( float64 a )
+{
+
+    return ( a>>52 ) & 0x7FF;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the sign bit of the double-precision floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE flag extractFloat64Sign( float64 a )
+{
+
+    return a>>63;
+
+}
+
+/*----------------------------------------------------------------------------
+| Normalizes the subnormal double-precision floating-point value represented
+| by the denormalized significand `aSig'.  The normalized exponent and
+| significand are stored at the locations pointed to by `zExpPtr' and
+| `zSigPtr', respectively.
+*----------------------------------------------------------------------------*/
+
+static void
+ normalizeFloat64Subnormal( bits64 aSig, int16 *zExpPtr, bits64 *zSigPtr )
+{
+    int8 shiftCount;
+
+    shiftCount = countLeadingZeros64( aSig ) - 11;
+    *zSigPtr = aSig<<shiftCount;
+    *zExpPtr = 1 - shiftCount;
+
+}
+
+/*----------------------------------------------------------------------------
+| Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
+| double-precision floating-point value, returning the result.  After being
+| shifted into the proper positions, the three fields are simply added
+| together to form the result.  This means that any integer portion of `zSig'
+| will be added into the exponent.  Since a properly normalized significand
+| will have an integer portion equal to 1, the `zExp' input should be 1 less
+| than the desired result exponent whenever `zSig' is a complete, normalized
+| significand.
+*----------------------------------------------------------------------------*/
+
+INLINE float64 packFloat64( flag zSign, int16 zExp, bits64 zSig )
+{
+
+    return ( ( (bits64) zSign )<<63 ) + ( ( (bits64) zExp )<<52 ) + zSig;
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and significand `zSig', and returns the proper double-precision floating-
+| point value corresponding to the abstract input.  Ordinarily, the abstract
+| value is simply rounded and packed into the double-precision format, with
+| the inexact exception raised if the abstract input cannot be represented
+| exactly.  However, if the abstract value is too large, the overflow and
+| inexact exceptions are raised and an infinity or maximal finite value is
+| returned.  If the abstract value is too small, the input value is rounded
+| to a subnormal number, and the underflow and inexact exceptions are raised
+| if the abstract input cannot be represented exactly as a subnormal double-
+| precision floating-point number.
+|     The input significand `zSig' has its binary point between bits 62
+| and 61, which is 10 bits to the left of the usual location.  This shifted
+| significand must be normalized or smaller.  If `zSig' is not normalized,
+| `zExp' must be 0; in that case, the result returned is a subnormal number,
+| and it must not require rounding.  In the usual case that `zSig' is
+| normalized, `zExp' must be 1 less than the ``true'' floating-point exponent.
+| The handling of underflow and overflow follows the IEC/IEEE Standard for
+| Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float64 roundAndPackFloat64( flag zSign, int16 zExp, bits64 zSig STATUS_PARAM)
+{
+    int8 roundingMode;
+    flag roundNearestEven;
+    int16 roundIncrement, roundBits;
+    flag isTiny;
+
+    roundingMode = STATUS(float_rounding_mode);
+    roundNearestEven = ( roundingMode == float_round_nearest_even );
+    roundIncrement = 0x200;
+    if ( ! roundNearestEven ) {
+        if ( roundingMode == float_round_to_zero ) {
+            roundIncrement = 0;
+        }
+        else {
+            roundIncrement = 0x3FF;
+            if ( zSign ) {
+                if ( roundingMode == float_round_up ) roundIncrement = 0;
+            }
+            else {
+                if ( roundingMode == float_round_down ) roundIncrement = 0;
+            }
+        }
+    }
+    roundBits = zSig & 0x3FF;
+    if ( 0x7FD <= (bits16) zExp ) {
+        if (    ( 0x7FD < zExp )
+             || (    ( zExp == 0x7FD )
+                  && ( (sbits64) ( zSig + roundIncrement ) < 0 ) )
+           ) {
+            float_raise( float_flag_overflow | float_flag_inexact STATUS_VAR);
+            return packFloat64( zSign, 0x7FF, 0 ) - ( roundIncrement == 0 );
+        }
+        if ( zExp < 0 ) {
+            isTiny =
+                   ( STATUS(float_detect_tininess) == float_tininess_before_rounding )
+                || ( zExp < -1 )
+                || ( zSig + roundIncrement < LIT64( 0x8000000000000000 ) );
+            shift64RightJamming( zSig, - zExp, &zSig );
+            zExp = 0;
+            roundBits = zSig & 0x3FF;
+            if ( isTiny && roundBits ) float_raise( float_flag_underflow STATUS_VAR);
+        }
+    }
+    if ( roundBits ) STATUS(float_exception_flags) |= float_flag_inexact;
+    zSig = ( zSig + roundIncrement )>>10;
+    zSig &= ~ ( ( ( roundBits ^ 0x200 ) == 0 ) & roundNearestEven );
+    if ( zSig == 0 ) zExp = 0;
+    return packFloat64( zSign, zExp, zSig );
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and significand `zSig', and returns the proper double-precision floating-
+| point value corresponding to the abstract input.  This routine is just like
+| `roundAndPackFloat64' except that `zSig' does not have to be normalized.
+| Bit 63 of `zSig' must be zero, and `zExp' must be 1 less than the ``true''
+| floating-point exponent.
+*----------------------------------------------------------------------------*/
+
+static float64
+ normalizeRoundAndPackFloat64( flag zSign, int16 zExp, bits64 zSig STATUS_PARAM)
+{
+    int8 shiftCount;
+
+    shiftCount = countLeadingZeros64( zSig ) - 1;
+    return roundAndPackFloat64( zSign, zExp - shiftCount, zSig<<shiftCount STATUS_VAR);
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Returns the fraction bits of the extended double-precision floating-point
+| value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE bits64 extractFloatx80Frac( floatx80 a )
+{
+
+    return a.low;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the exponent bits of the extended double-precision floating-point
+| value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE int32 extractFloatx80Exp( floatx80 a )
+{
+
+    return a.high & 0x7FFF;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the sign bit of the extended double-precision floating-point value
+| `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE flag extractFloatx80Sign( floatx80 a )
+{
+
+    return a.high>>15;
+
+}
+
+/*----------------------------------------------------------------------------
+| Normalizes the subnormal extended double-precision floating-point value
+| represented by the denormalized significand `aSig'.  The normalized exponent
+| and significand are stored at the locations pointed to by `zExpPtr' and
+| `zSigPtr', respectively.
+*----------------------------------------------------------------------------*/
+
+static void
+ normalizeFloatx80Subnormal( bits64 aSig, int32 *zExpPtr, bits64 *zSigPtr )
+{
+    int8 shiftCount;
+
+    shiftCount = countLeadingZeros64( aSig );
+    *zSigPtr = aSig<<shiftCount;
+    *zExpPtr = 1 - shiftCount;
+
+}
+
+/*----------------------------------------------------------------------------
+| Packs the sign `zSign', exponent `zExp', and significand `zSig' into an
+| extended double-precision floating-point value, returning the result.
+*----------------------------------------------------------------------------*/
+
+INLINE floatx80 packFloatx80( flag zSign, int32 zExp, bits64 zSig )
+{
+    floatx80 z;
+
+    z.low = zSig;
+    z.high = ( ( (bits16) zSign )<<15 ) + zExp;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and extended significand formed by the concatenation of `zSig0' and `zSig1',
+| and returns the proper extended double-precision floating-point value
+| corresponding to the abstract input.  Ordinarily, the abstract value is
+| rounded and packed into the extended double-precision format, with the
+| inexact exception raised if the abstract input cannot be represented
+| exactly.  However, if the abstract value is too large, the overflow and
+| inexact exceptions are raised and an infinity or maximal finite value is
+| returned.  If the abstract value is too small, the input value is rounded to
+| a subnormal number, and the underflow and inexact exceptions are raised if
+| the abstract input cannot be represented exactly as a subnormal extended
+| double-precision floating-point number.
+|     If `roundingPrecision' is 32 or 64, the result is rounded to the same
+| number of bits as single or double precision, respectively.  Otherwise, the
+| result is rounded to the full precision of the extended double-precision
+| format.
+|     The input significand must be normalized or smaller.  If the input
+| significand is not normalized, `zExp' must be 0; in that case, the result
+| returned is a subnormal number, and it must not require rounding.  The
+| handling of underflow and overflow follows the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static floatx80
+ roundAndPackFloatx80(
+     int8 roundingPrecision, flag zSign, int32 zExp, bits64 zSig0, bits64 zSig1
+ STATUS_PARAM)
+{
+    int8 roundingMode;
+    flag roundNearestEven, increment, isTiny;
+    int64 roundIncrement, roundMask, roundBits;
+
+    roundingMode = STATUS(float_rounding_mode);
+    roundNearestEven = ( roundingMode == float_round_nearest_even );
+    if ( roundingPrecision == 80 ) goto precision80;
+    if ( roundingPrecision == 64 ) {
+        roundIncrement = LIT64( 0x0000000000000400 );
+        roundMask = LIT64( 0x00000000000007FF );
+    }
+    else if ( roundingPrecision == 32 ) {
+        roundIncrement = LIT64( 0x0000008000000000 );
+        roundMask = LIT64( 0x000000FFFFFFFFFF );
+    }
+    else {
+        goto precision80;
+    }
+    zSig0 |= ( zSig1 != 0 );
+    if ( ! roundNearestEven ) {
+        if ( roundingMode == float_round_to_zero ) {
+            roundIncrement = 0;
+        }
+        else {
+            roundIncrement = roundMask;
+            if ( zSign ) {
+                if ( roundingMode == float_round_up ) roundIncrement = 0;
+            }
+            else {
+                if ( roundingMode == float_round_down ) roundIncrement = 0;
+            }
+        }
+    }
+    roundBits = zSig0 & roundMask;
+    if ( 0x7FFD <= (bits32) ( zExp - 1 ) ) {
+        if (    ( 0x7FFE < zExp )
+             || ( ( zExp == 0x7FFE ) && ( zSig0 + roundIncrement < zSig0 ) )
+           ) {
+            goto overflow;
+        }
+        if ( zExp <= 0 ) {
+            isTiny =
+                   ( STATUS(float_detect_tininess) == float_tininess_before_rounding )
+                || ( zExp < 0 )
+                || ( zSig0 <= zSig0 + roundIncrement );
+            shift64RightJamming( zSig0, 1 - zExp, &zSig0 );
+            zExp = 0;
+            roundBits = zSig0 & roundMask;
+            if ( isTiny && roundBits ) float_raise( float_flag_underflow STATUS_VAR);
+            if ( roundBits ) STATUS(float_exception_flags) |= float_flag_inexact;
+            zSig0 += roundIncrement;
+            if ( (sbits64) zSig0 < 0 ) zExp = 1;
+            roundIncrement = roundMask + 1;
+            if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) {
+                roundMask |= roundIncrement;
+            }
+            zSig0 &= ~ roundMask;
+            return packFloatx80( zSign, zExp, zSig0 );
+        }
+    }
+    if ( roundBits ) STATUS(float_exception_flags) |= float_flag_inexact;
+    zSig0 += roundIncrement;
+    if ( zSig0 < roundIncrement ) {
+        ++zExp;
+        zSig0 = LIT64( 0x8000000000000000 );
+    }
+    roundIncrement = roundMask + 1;
+    if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) {
+        roundMask |= roundIncrement;
+    }
+    zSig0 &= ~ roundMask;
+    if ( zSig0 == 0 ) zExp = 0;
+    return packFloatx80( zSign, zExp, zSig0 );
+ precision80:
+    increment = ( (sbits64) zSig1 < 0 );
+    if ( ! roundNearestEven ) {
+        if ( roundingMode == float_round_to_zero ) {
+            increment = 0;
+        }
+        else {
+            if ( zSign ) {
+                increment = ( roundingMode == float_round_down ) && zSig1;
+            }
+            else {
+                increment = ( roundingMode == float_round_up ) && zSig1;
+            }
+        }
+    }
+    if ( 0x7FFD <= (bits32) ( zExp - 1 ) ) {
+        if (    ( 0x7FFE < zExp )
+             || (    ( zExp == 0x7FFE )
+                  && ( zSig0 == LIT64( 0xFFFFFFFFFFFFFFFF ) )
+                  && increment
+                )
+           ) {
+            roundMask = 0;
+ overflow:
+            float_raise( float_flag_overflow | float_flag_inexact STATUS_VAR);
+            if (    ( roundingMode == float_round_to_zero )
+                 || ( zSign && ( roundingMode == float_round_up ) )
+                 || ( ! zSign && ( roundingMode == float_round_down ) )
+               ) {
+                return packFloatx80( zSign, 0x7FFE, ~ roundMask );
+            }
+            return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+        }
+        if ( zExp <= 0 ) {
+            isTiny =
+                   ( STATUS(float_detect_tininess) == float_tininess_before_rounding )
+                || ( zExp < 0 )
+                || ! increment
+                || ( zSig0 < LIT64( 0xFFFFFFFFFFFFFFFF ) );
+            shift64ExtraRightJamming( zSig0, zSig1, 1 - zExp, &zSig0, &zSig1 );
+            zExp = 0;
+            if ( isTiny && zSig1 ) float_raise( float_flag_underflow STATUS_VAR);
+            if ( zSig1 ) STATUS(float_exception_flags) |= float_flag_inexact;
+            if ( roundNearestEven ) {
+                increment = ( (sbits64) zSig1 < 0 );
+            }
+            else {
+                if ( zSign ) {
+                    increment = ( roundingMode == float_round_down ) && zSig1;
+                }
+                else {
+                    increment = ( roundingMode == float_round_up ) && zSig1;
+                }
+            }
+            if ( increment ) {
+                ++zSig0;
+                zSig0 &=
+                    ~ ( ( (bits64) ( zSig1<<1 ) == 0 ) & roundNearestEven );
+                if ( (sbits64) zSig0 < 0 ) zExp = 1;
+            }
+            return packFloatx80( zSign, zExp, zSig0 );
+        }
+    }
+    if ( zSig1 ) STATUS(float_exception_flags) |= float_flag_inexact;
+    if ( increment ) {
+        ++zSig0;
+        if ( zSig0 == 0 ) {
+            ++zExp;
+            zSig0 = LIT64( 0x8000000000000000 );
+        }
+        else {
+            zSig0 &= ~ ( ( (bits64) ( zSig1<<1 ) == 0 ) & roundNearestEven );
+        }
+    }
+    else {
+        if ( zSig0 == 0 ) zExp = 0;
+    }
+    return packFloatx80( zSign, zExp, zSig0 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent
+| `zExp', and significand formed by the concatenation of `zSig0' and `zSig1',
+| and returns the proper extended double-precision floating-point value
+| corresponding to the abstract input.  This routine is just like
+| `roundAndPackFloatx80' except that the input significand does not have to be
+| normalized.
+*----------------------------------------------------------------------------*/
+
+static floatx80
+ normalizeRoundAndPackFloatx80(
+     int8 roundingPrecision, flag zSign, int32 zExp, bits64 zSig0, bits64 zSig1
+ STATUS_PARAM)
+{
+    int8 shiftCount;
+
+    if ( zSig0 == 0 ) {
+        zSig0 = zSig1;
+        zSig1 = 0;
+        zExp -= 64;
+    }
+    shiftCount = countLeadingZeros64( zSig0 );
+    shortShift128Left( zSig0, zSig1, shiftCount, &zSig0, &zSig1 );
+    zExp -= shiftCount;
+    return
+        roundAndPackFloatx80( roundingPrecision, zSign, zExp, zSig0, zSig1 STATUS_VAR);
+
+}
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Returns the least-significant 64 fraction bits of the quadruple-precision
+| floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE bits64 extractFloat128Frac1( float128 a )
+{
+
+    return a.low;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the most-significant 48 fraction bits of the quadruple-precision
+| floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE bits64 extractFloat128Frac0( float128 a )
+{
+
+    return a.high & LIT64( 0x0000FFFFFFFFFFFF );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the exponent bits of the quadruple-precision floating-point value
+| `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE int32 extractFloat128Exp( float128 a )
+{
+
+    return ( a.high>>48 ) & 0x7FFF;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the sign bit of the quadruple-precision floating-point value `a'.
+*----------------------------------------------------------------------------*/
+
+INLINE flag extractFloat128Sign( float128 a )
+{
+
+    return a.high>>63;
+
+}
+
+/*----------------------------------------------------------------------------
+| Normalizes the subnormal quadruple-precision floating-point value
+| represented by the denormalized significand formed by the concatenation of
+| `aSig0' and `aSig1'.  The normalized exponent is stored at the location
+| pointed to by `zExpPtr'.  The most significant 49 bits of the normalized
+| significand are stored at the location pointed to by `zSig0Ptr', and the
+| least significant 64 bits of the normalized significand are stored at the
+| location pointed to by `zSig1Ptr'.
+*----------------------------------------------------------------------------*/
+
+static void
+ normalizeFloat128Subnormal(
+     bits64 aSig0,
+     bits64 aSig1,
+     int32 *zExpPtr,
+     bits64 *zSig0Ptr,
+     bits64 *zSig1Ptr
+ )
+{
+    int8 shiftCount;
+
+    if ( aSig0 == 0 ) {
+        shiftCount = countLeadingZeros64( aSig1 ) - 15;
+        if ( shiftCount < 0 ) {
+            *zSig0Ptr = aSig1>>( - shiftCount );
+            *zSig1Ptr = aSig1<<( shiftCount & 63 );
+        }
+        else {
+            *zSig0Ptr = aSig1<<shiftCount;
+            *zSig1Ptr = 0;
+        }
+        *zExpPtr = - shiftCount - 63;
+    }
+    else {
+        shiftCount = countLeadingZeros64( aSig0 ) - 15;
+        shortShift128Left( aSig0, aSig1, shiftCount, zSig0Ptr, zSig1Ptr );
+        *zExpPtr = 1 - shiftCount;
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Packs the sign `zSign', the exponent `zExp', and the significand formed
+| by the concatenation of `zSig0' and `zSig1' into a quadruple-precision
+| floating-point value, returning the result.  After being shifted into the
+| proper positions, the three fields `zSign', `zExp', and `zSig0' are simply
+| added together to form the most significant 32 bits of the result.  This
+| means that any integer portion of `zSig0' will be added into the exponent.
+| Since a properly normalized significand will have an integer portion equal
+| to 1, the `zExp' input should be 1 less than the desired result exponent
+| whenever `zSig0' and `zSig1' concatenated form a complete, normalized
+| significand.
+*----------------------------------------------------------------------------*/
+
+INLINE float128
+ packFloat128( flag zSign, int32 zExp, bits64 zSig0, bits64 zSig1 )
+{
+    float128 z;
+
+    z.low = zSig1;
+    z.high = ( ( (bits64) zSign )<<63 ) + ( ( (bits64) zExp )<<48 ) + zSig0;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and extended significand formed by the concatenation of `zSig0', `zSig1',
+| and `zSig2', and returns the proper quadruple-precision floating-point value
+| corresponding to the abstract input.  Ordinarily, the abstract value is
+| simply rounded and packed into the quadruple-precision format, with the
+| inexact exception raised if the abstract input cannot be represented
+| exactly.  However, if the abstract value is too large, the overflow and
+| inexact exceptions are raised and an infinity or maximal finite value is
+| returned.  If the abstract value is too small, the input value is rounded to
+| a subnormal number, and the underflow and inexact exceptions are raised if
+| the abstract input cannot be represented exactly as a subnormal quadruple-
+| precision floating-point number.
+|     The input significand must be normalized or smaller.  If the input
+| significand is not normalized, `zExp' must be 0; in that case, the result
+| returned is a subnormal number, and it must not require rounding.  In the
+| usual case that the input significand is normalized, `zExp' must be 1 less
+| than the ``true'' floating-point exponent.  The handling of underflow and
+| overflow follows the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float128
+ roundAndPackFloat128(
+     flag zSign, int32 zExp, bits64 zSig0, bits64 zSig1, bits64 zSig2 STATUS_PARAM)
+{
+    int8 roundingMode;
+    flag roundNearestEven, increment, isTiny;
+
+    roundingMode = STATUS(float_rounding_mode);
+    roundNearestEven = ( roundingMode == float_round_nearest_even );
+    increment = ( (sbits64) zSig2 < 0 );
+    if ( ! roundNearestEven ) {
+        if ( roundingMode == float_round_to_zero ) {
+            increment = 0;
+        }
+        else {
+            if ( zSign ) {
+                increment = ( roundingMode == float_round_down ) && zSig2;
+            }
+            else {
+                increment = ( roundingMode == float_round_up ) && zSig2;
+            }
+        }
+    }
+    if ( 0x7FFD <= (bits32) zExp ) {
+        if (    ( 0x7FFD < zExp )
+             || (    ( zExp == 0x7FFD )
+                  && eq128(
+                         LIT64( 0x0001FFFFFFFFFFFF ),
+                         LIT64( 0xFFFFFFFFFFFFFFFF ),
+                         zSig0,
+                         zSig1
+                     )
+                  && increment
+                )
+           ) {
+            float_raise( float_flag_overflow | float_flag_inexact STATUS_VAR);
+            if (    ( roundingMode == float_round_to_zero )
+                 || ( zSign && ( roundingMode == float_round_up ) )
+                 || ( ! zSign && ( roundingMode == float_round_down ) )
+               ) {
+                return
+                    packFloat128(
+                        zSign,
+                        0x7FFE,
+                        LIT64( 0x0000FFFFFFFFFFFF ),
+                        LIT64( 0xFFFFFFFFFFFFFFFF )
+                    );
+            }
+            return packFloat128( zSign, 0x7FFF, 0, 0 );
+        }
+        if ( zExp < 0 ) {
+            isTiny =
+                   ( STATUS(float_detect_tininess) == float_tininess_before_rounding )
+                || ( zExp < -1 )
+                || ! increment
+                || lt128(
+                       zSig0,
+                       zSig1,
+                       LIT64( 0x0001FFFFFFFFFFFF ),
+                       LIT64( 0xFFFFFFFFFFFFFFFF )
+                   );
+            shift128ExtraRightJamming(
+                zSig0, zSig1, zSig2, - zExp, &zSig0, &zSig1, &zSig2 );
+            zExp = 0;
+            if ( isTiny && zSig2 ) float_raise( float_flag_underflow STATUS_VAR);
+            if ( roundNearestEven ) {
+                increment = ( (sbits64) zSig2 < 0 );
+            }
+            else {
+                if ( zSign ) {
+                    increment = ( roundingMode == float_round_down ) && zSig2;
+                }
+                else {
+                    increment = ( roundingMode == float_round_up ) && zSig2;
+                }
+            }
+        }
+    }
+    if ( zSig2 ) STATUS(float_exception_flags) |= float_flag_inexact;
+    if ( increment ) {
+        add128( zSig0, zSig1, 0, 1, &zSig0, &zSig1 );
+        zSig1 &= ~ ( ( zSig2 + zSig2 == 0 ) & roundNearestEven );
+    }
+    else {
+        if ( ( zSig0 | zSig1 ) == 0 ) zExp = 0;
+    }
+    return packFloat128( zSign, zExp, zSig0, zSig1 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and significand formed by the concatenation of `zSig0' and `zSig1', and
+| returns the proper quadruple-precision floating-point value corresponding
+| to the abstract input.  This routine is just like `roundAndPackFloat128'
+| except that the input significand has fewer bits and does not have to be
+| normalized.  In all cases, `zExp' must be 1 less than the ``true'' floating-
+| point exponent.
+*----------------------------------------------------------------------------*/
+
+static float128
+ normalizeRoundAndPackFloat128(
+     flag zSign, int32 zExp, bits64 zSig0, bits64 zSig1 STATUS_PARAM)
+{
+    int8 shiftCount;
+    bits64 zSig2;
+
+    if ( zSig0 == 0 ) {
+        zSig0 = zSig1;
+        zSig1 = 0;
+        zExp -= 64;
+    }
+    shiftCount = countLeadingZeros64( zSig0 ) - 15;
+    if ( 0 <= shiftCount ) {
+        zSig2 = 0;
+        shortShift128Left( zSig0, zSig1, shiftCount, &zSig0, &zSig1 );
+    }
+    else {
+        shift128ExtraRightJamming(
+            zSig0, zSig1, 0, - shiftCount, &zSig0, &zSig1, &zSig2 );
+    }
+    zExp -= shiftCount;
+    return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 STATUS_VAR);
+
+}
+
+#endif
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 32-bit two's complement integer `a'
+| to the single-precision floating-point format.  The conversion is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 int32_to_float32( int32 a STATUS_PARAM )
+{
+    flag zSign;
+
+    if ( a == 0 ) return 0;
+    if ( a == (sbits32) 0x80000000 ) return packFloat32( 1, 0x9E, 0 );
+    zSign = ( a < 0 );
+    return normalizeRoundAndPackFloat32( zSign, 0x9C, zSign ? - a : a STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 32-bit two's complement integer `a'
+| to the double-precision floating-point format.  The conversion is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 int32_to_float64( int32 a STATUS_PARAM )
+{
+    flag zSign;
+    uint32 absA;
+    int8 shiftCount;
+    bits64 zSig;
+
+    if ( a == 0 ) return 0;
+    zSign = ( a < 0 );
+    absA = zSign ? - a : a;
+    shiftCount = countLeadingZeros32( absA ) + 21;
+    zSig = absA;
+    return packFloat64( zSign, 0x432 - shiftCount, zSig<<shiftCount );
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 32-bit two's complement integer `a'
+| to the extended double-precision floating-point format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 int32_to_floatx80( int32 a STATUS_PARAM )
+{
+    flag zSign;
+    uint32 absA;
+    int8 shiftCount;
+    bits64 zSig;
+
+    if ( a == 0 ) return packFloatx80( 0, 0, 0 );
+    zSign = ( a < 0 );
+    absA = zSign ? - a : a;
+    shiftCount = countLeadingZeros32( absA ) + 32;
+    zSig = absA;
+    return packFloatx80( zSign, 0x403E - shiftCount, zSig<<shiftCount );
+
+}
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 32-bit two's complement integer `a' to
+| the quadruple-precision floating-point format.  The conversion is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 int32_to_float128( int32 a STATUS_PARAM )
+{
+    flag zSign;
+    uint32 absA;
+    int8 shiftCount;
+    bits64 zSig0;
+
+    if ( a == 0 ) return packFloat128( 0, 0, 0, 0 );
+    zSign = ( a < 0 );
+    absA = zSign ? - a : a;
+    shiftCount = countLeadingZeros32( absA ) + 17;
+    zSig0 = absA;
+    return packFloat128( zSign, 0x402E - shiftCount, zSig0<<shiftCount, 0 );
+
+}
+
+#endif
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 64-bit two's complement integer `a'
+| to the single-precision floating-point format.  The conversion is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 int64_to_float32( int64 a STATUS_PARAM )
+{
+    flag zSign;
+    uint64 absA;
+    int8 shiftCount;
+
+    if ( a == 0 ) return 0;
+    zSign = ( a < 0 );
+    absA = zSign ? - a : a;
+    shiftCount = countLeadingZeros64( absA ) - 40;
+    if ( 0 <= shiftCount ) {
+        return packFloat32( zSign, 0x95 - shiftCount, absA<<shiftCount );
+    }
+    else {
+        shiftCount += 7;
+        if ( shiftCount < 0 ) {
+            shift64RightJamming( absA, - shiftCount, &absA );
+        }
+        else {
+            absA <<= shiftCount;
+        }
+        return roundAndPackFloat32( zSign, 0x9C - shiftCount, absA STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 64-bit two's complement integer `a'
+| to the double-precision floating-point format.  The conversion is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 int64_to_float64( int64 a STATUS_PARAM )
+{
+    flag zSign;
+
+    if ( a == 0 ) return 0;
+    if ( a == (sbits64) LIT64( 0x8000000000000000 ) ) {
+        return packFloat64( 1, 0x43E, 0 );
+    }
+    zSign = ( a < 0 );
+    return normalizeRoundAndPackFloat64( zSign, 0x43C, zSign ? - a : a STATUS_VAR );
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 64-bit two's complement integer `a'
+| to the extended double-precision floating-point format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 int64_to_floatx80( int64 a STATUS_PARAM )
+{
+    flag zSign;
+    uint64 absA;
+    int8 shiftCount;
+
+    if ( a == 0 ) return packFloatx80( 0, 0, 0 );
+    zSign = ( a < 0 );
+    absA = zSign ? - a : a;
+    shiftCount = countLeadingZeros64( absA );
+    return packFloatx80( zSign, 0x403E - shiftCount, absA<<shiftCount );
+
+}
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the 64-bit two's complement integer `a' to
+| the quadruple-precision floating-point format.  The conversion is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 int64_to_float128( int64 a STATUS_PARAM )
+{
+    flag zSign;
+    uint64 absA;
+    int8 shiftCount;
+    int32 zExp;
+    bits64 zSig0, zSig1;
+
+    if ( a == 0 ) return packFloat128( 0, 0, 0, 0 );
+    zSign = ( a < 0 );
+    absA = zSign ? - a : a;
+    shiftCount = countLeadingZeros64( absA ) + 49;
+    zExp = 0x406E - shiftCount;
+    if ( 64 <= shiftCount ) {
+        zSig1 = 0;
+        zSig0 = absA;
+        shiftCount -= 64;
+    }
+    else {
+        zSig1 = absA;
+        zSig0 = 0;
+    }
+    shortShift128Left( zSig0, zSig1, shiftCount, &zSig0, &zSig1 );
+    return packFloat128( zSign, zExp, zSig0, zSig1 );
+
+}
+
+#endif
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point value
+| `a' to the 32-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic---which means in particular that the conversion is rounded
+| according to the current rounding mode.  If `a' is a NaN, the largest
+| positive integer is returned.  Otherwise, if the conversion overflows, the
+| largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int32 float32_to_int32( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits32 aSig;
+    bits64 aSig64;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    if ( ( aExp == 0xFF ) && aSig ) aSign = 0;
+    if ( aExp ) aSig |= 0x00800000;
+    shiftCount = 0xAF - aExp;
+    aSig64 = aSig;
+    aSig64 <<= 32;
+    if ( 0 < shiftCount ) shift64RightJamming( aSig64, shiftCount, &aSig64 );
+    return roundAndPackInt32( aSign, aSig64 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point value
+| `a' to the 32-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic, except that the conversion is always rounded toward zero.
+| If `a' is a NaN, the largest positive integer is returned.  Otherwise, if
+| the conversion overflows, the largest integer with the same sign as `a' is
+| returned.
+*----------------------------------------------------------------------------*/
+
+int32 float32_to_int32_round_to_zero( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits32 aSig;
+    int32 z;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    shiftCount = aExp - 0x9E;
+    if ( 0 <= shiftCount ) {
+        if ( a != 0xCF000000 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) return 0x7FFFFFFF;
+        }
+        return (sbits32) 0x80000000;
+    }
+    else if ( aExp <= 0x7E ) {
+        if ( aExp | aSig ) STATUS(float_exception_flags) |= float_flag_inexact;
+        return 0;
+    }
+    aSig = ( aSig | 0x00800000 )<<8;
+    z = aSig>>( - shiftCount );
+    if ( (bits32) ( aSig<<( shiftCount & 31 ) ) ) {
+        STATUS(float_exception_flags) |= float_flag_inexact;
+    }
+    if ( aSign ) z = - z;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point value
+| `a' to the 64-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic---which means in particular that the conversion is rounded
+| according to the current rounding mode.  If `a' is a NaN, the largest
+| positive integer is returned.  Otherwise, if the conversion overflows, the
+| largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int64 float32_to_int64( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits32 aSig;
+    bits64 aSig64, aSigExtra;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    shiftCount = 0xBE - aExp;
+    if ( shiftCount < 0 ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) {
+            return LIT64( 0x7FFFFFFFFFFFFFFF );
+        }
+        return (sbits64) LIT64( 0x8000000000000000 );
+    }
+    if ( aExp ) aSig |= 0x00800000;
+    aSig64 = aSig;
+    aSig64 <<= 40;
+    shift64ExtraRightJamming( aSig64, 0, shiftCount, &aSig64, &aSigExtra );
+    return roundAndPackInt64( aSign, aSig64, aSigExtra STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point value
+| `a' to the 64-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic, except that the conversion is always rounded toward zero.  If
+| `a' is a NaN, the largest positive integer is returned.  Otherwise, if the
+| conversion overflows, the largest integer with the same sign as `a' is
+| returned.
+*----------------------------------------------------------------------------*/
+
+int64 float32_to_int64_round_to_zero( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits32 aSig;
+    bits64 aSig64;
+    int64 z;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    shiftCount = aExp - 0xBE;
+    if ( 0 <= shiftCount ) {
+        if ( a != 0xDF000000 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            if ( ! aSign || ( ( aExp == 0xFF ) && aSig ) ) {
+                return LIT64( 0x7FFFFFFFFFFFFFFF );
+            }
+        }
+        return (sbits64) LIT64( 0x8000000000000000 );
+    }
+    else if ( aExp <= 0x7E ) {
+        if ( aExp | aSig ) STATUS(float_exception_flags) |= float_flag_inexact;
+        return 0;
+    }
+    aSig64 = aSig | 0x00800000;
+    aSig64 <<= 40;
+    z = aSig64>>( - shiftCount );
+    if ( (bits64) ( aSig64<<( shiftCount & 63 ) ) ) {
+        STATUS(float_exception_flags) |= float_flag_inexact;
+    }
+    if ( aSign ) z = - z;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point value
+| `a' to the double-precision floating-point format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float32_to_float64( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits32 aSig;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    if ( aExp == 0xFF ) {
+        if ( aSig ) return commonNaNToFloat64( float32ToCommonNaN( a STATUS_VAR ));
+        return packFloat64( aSign, 0x7FF, 0 );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloat64( aSign, 0, 0 );
+        normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+        --aExp;
+    }
+    return packFloat64( aSign, aExp + 0x380, ( (bits64) aSig )<<29 );
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point value
+| `a' to the extended double-precision floating-point format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 float32_to_floatx80( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits32 aSig;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    if ( aExp == 0xFF ) {
+        if ( aSig ) return commonNaNToFloatx80( float32ToCommonNaN( a STATUS_VAR ) );
+        return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloatx80( aSign, 0, 0 );
+        normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+    }
+    aSig |= 0x00800000;
+    return packFloatx80( aSign, aExp + 0x3F80, ( (bits64) aSig )<<40 );
+
+}
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the single-precision floating-point value
+| `a' to the double-precision floating-point format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float32_to_float128( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits32 aSig;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    if ( aExp == 0xFF ) {
+        if ( aSig ) return commonNaNToFloat128( float32ToCommonNaN( a STATUS_VAR ) );
+        return packFloat128( aSign, 0x7FFF, 0, 0 );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloat128( aSign, 0, 0, 0 );
+        normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+        --aExp;
+    }
+    return packFloat128( aSign, aExp + 0x3F80, ( (bits64) aSig )<<25, 0 );
+
+}
+
+#endif
+
+/*----------------------------------------------------------------------------
+| Rounds the single-precision floating-point value `a' to an integer, and
+| returns the result as a single-precision floating-point value.  The
+| operation is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float32_round_to_int( float32 a STATUS_PARAM)
+{
+    flag aSign;
+    int16 aExp;
+    bits32 lastBitMask, roundBitsMask;
+    int8 roundingMode;
+    float32 z;
+
+    aExp = extractFloat32Exp( a );
+    if ( 0x96 <= aExp ) {
+        if ( ( aExp == 0xFF ) && extractFloat32Frac( a ) ) {
+            return propagateFloat32NaN( a, a STATUS_VAR );
+        }
+        return a;
+    }
+    if ( aExp <= 0x7E ) {
+        if ( (bits32) ( a<<1 ) == 0 ) return a;
+        STATUS(float_exception_flags) |= float_flag_inexact;
+        aSign = extractFloat32Sign( a );
+        switch ( STATUS(float_rounding_mode) ) {
+         case float_round_nearest_even:
+            if ( ( aExp == 0x7E ) && extractFloat32Frac( a ) ) {
+                return packFloat32( aSign, 0x7F, 0 );
+            }
+            break;
+         case float_round_down:
+            return aSign ? 0xBF800000 : 0;
+         case float_round_up:
+            return aSign ? 0x80000000 : 0x3F800000;
+        }
+        return packFloat32( aSign, 0, 0 );
+    }
+    lastBitMask = 1;
+    lastBitMask <<= 0x96 - aExp;
+    roundBitsMask = lastBitMask - 1;
+    z = a;
+    roundingMode = STATUS(float_rounding_mode);
+    if ( roundingMode == float_round_nearest_even ) {
+        z += lastBitMask>>1;
+        if ( ( z & roundBitsMask ) == 0 ) z &= ~ lastBitMask;
+    }
+    else if ( roundingMode != float_round_to_zero ) {
+        if ( extractFloat32Sign( z ) ^ ( roundingMode == float_round_up ) ) {
+            z += roundBitsMask;
+        }
+    }
+    z &= ~ roundBitsMask;
+    if ( z != a ) STATUS(float_exception_flags) |= float_flag_inexact;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the absolute values of the single-precision
+| floating-point values `a' and `b'.  If `zSign' is 1, the sum is negated
+| before being returned.  `zSign' is ignored if the result is a NaN.
+| The addition is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float32 addFloat32Sigs( float32 a, float32 b, flag zSign STATUS_PARAM)
+{
+    int16 aExp, bExp, zExp;
+    bits32 aSig, bSig, zSig;
+    int16 expDiff;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    bSig = extractFloat32Frac( b );
+    bExp = extractFloat32Exp( b );
+    expDiff = aExp - bExp;
+    aSig <<= 6;
+    bSig <<= 6;
+    if ( 0 < expDiff ) {
+        if ( aExp == 0xFF ) {
+            if ( aSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+            return a;
+        }
+        if ( bExp == 0 ) {
+            --expDiff;
+        }
+        else {
+            bSig |= 0x20000000;
+        }
+        shift32RightJamming( bSig, expDiff, &bSig );
+        zExp = aExp;
+    }
+    else if ( expDiff < 0 ) {
+        if ( bExp == 0xFF ) {
+            if ( bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+            return packFloat32( zSign, 0xFF, 0 );
+        }
+        if ( aExp == 0 ) {
+            ++expDiff;
+        }
+        else {
+            aSig |= 0x20000000;
+        }
+        shift32RightJamming( aSig, - expDiff, &aSig );
+        zExp = bExp;
+    }
+    else {
+        if ( aExp == 0xFF ) {
+            if ( aSig | bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+            return a;
+        }
+        if ( aExp == 0 ) return packFloat32( zSign, 0, ( aSig + bSig )>>6 );
+        zSig = 0x40000000 + aSig + bSig;
+        zExp = aExp;
+        goto roundAndPack;
+    }
+    aSig |= 0x20000000;
+    zSig = ( aSig + bSig )<<1;
+    --zExp;
+    if ( (sbits32) zSig < 0 ) {
+        zSig = aSig + bSig;
+        ++zExp;
+    }
+ roundAndPack:
+    return roundAndPackFloat32( zSign, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the absolute values of the single-
+| precision floating-point values `a' and `b'.  If `zSign' is 1, the
+| difference is negated before being returned.  `zSign' is ignored if the
+| result is a NaN.  The subtraction is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float32 subFloat32Sigs( float32 a, float32 b, flag zSign STATUS_PARAM)
+{
+    int16 aExp, bExp, zExp;
+    bits32 aSig, bSig, zSig;
+    int16 expDiff;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    bSig = extractFloat32Frac( b );
+    bExp = extractFloat32Exp( b );
+    expDiff = aExp - bExp;
+    aSig <<= 7;
+    bSig <<= 7;
+    if ( 0 < expDiff ) goto aExpBigger;
+    if ( expDiff < 0 ) goto bExpBigger;
+    if ( aExp == 0xFF ) {
+        if ( aSig | bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float32_default_nan;
+    }
+    if ( aExp == 0 ) {
+        aExp = 1;
+        bExp = 1;
+    }
+    if ( bSig < aSig ) goto aBigger;
+    if ( aSig < bSig ) goto bBigger;
+    return packFloat32( STATUS(float_rounding_mode) == float_round_down, 0, 0 );
+ bExpBigger:
+    if ( bExp == 0xFF ) {
+        if ( bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+        return packFloat32( zSign ^ 1, 0xFF, 0 );
+    }
+    if ( aExp == 0 ) {
+        ++expDiff;
+    }
+    else {
+        aSig |= 0x40000000;
+    }
+    shift32RightJamming( aSig, - expDiff, &aSig );
+    bSig |= 0x40000000;
+ bBigger:
+    zSig = bSig - aSig;
+    zExp = bExp;
+    zSign ^= 1;
+    goto normalizeRoundAndPack;
+ aExpBigger:
+    if ( aExp == 0xFF ) {
+        if ( aSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) {
+        --expDiff;
+    }
+    else {
+        bSig |= 0x40000000;
+    }
+    shift32RightJamming( bSig, expDiff, &bSig );
+    aSig |= 0x40000000;
+ aBigger:
+    zSig = aSig - bSig;
+    zExp = aExp;
+ normalizeRoundAndPack:
+    --zExp;
+    return normalizeRoundAndPackFloat32( zSign, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the single-precision floating-point values `a'
+| and `b'.  The operation is performed according to the IEC/IEEE Standard for
+| Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float32_add( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloat32Sign( a );
+    bSign = extractFloat32Sign( b );
+    if ( aSign == bSign ) {
+        return addFloat32Sigs( a, b, aSign STATUS_VAR);
+    }
+    else {
+        return subFloat32Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the single-precision floating-point values
+| `a' and `b'.  The operation is performed according to the IEC/IEEE Standard
+| for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float32_sub( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloat32Sign( a );
+    bSign = extractFloat32Sign( b );
+    if ( aSign == bSign ) {
+        return subFloat32Sigs( a, b, aSign STATUS_VAR );
+    }
+    else {
+        return addFloat32Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of multiplying the single-precision floating-point values
+| `a' and `b'.  The operation is performed according to the IEC/IEEE Standard
+| for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float32_mul( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int16 aExp, bExp, zExp;
+    bits32 aSig, bSig;
+    bits64 zSig64;
+    bits32 zSig;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    bSig = extractFloat32Frac( b );
+    bExp = extractFloat32Exp( b );
+    bSign = extractFloat32Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0xFF ) {
+        if ( aSig || ( ( bExp == 0xFF ) && bSig ) ) {
+            return propagateFloat32NaN( a, b STATUS_VAR );
+        }
+        if ( ( bExp | bSig ) == 0 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float32_default_nan;
+        }
+        return packFloat32( zSign, 0xFF, 0 );
+    }
+    if ( bExp == 0xFF ) {
+        if ( bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+        if ( ( aExp | aSig ) == 0 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float32_default_nan;
+        }
+        return packFloat32( zSign, 0xFF, 0 );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloat32( zSign, 0, 0 );
+        normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) return packFloat32( zSign, 0, 0 );
+        normalizeFloat32Subnormal( bSig, &bExp, &bSig );
+    }
+    zExp = aExp + bExp - 0x7F;
+    aSig = ( aSig | 0x00800000 )<<7;
+    bSig = ( bSig | 0x00800000 )<<8;
+    shift64RightJamming( ( (bits64) aSig ) * bSig, 32, &zSig64 );
+    zSig = zSig64;
+    if ( 0 <= (sbits32) ( zSig<<1 ) ) {
+        zSig <<= 1;
+        --zExp;
+    }
+    return roundAndPackFloat32( zSign, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of dividing the single-precision floating-point value `a'
+| by the corresponding value `b'.  The operation is performed according to the
+| IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float32_div( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int16 aExp, bExp, zExp;
+    bits32 aSig, bSig, zSig;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    bSig = extractFloat32Frac( b );
+    bExp = extractFloat32Exp( b );
+    bSign = extractFloat32Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0xFF ) {
+        if ( aSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+        if ( bExp == 0xFF ) {
+            if ( bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float32_default_nan;
+        }
+        return packFloat32( zSign, 0xFF, 0 );
+    }
+    if ( bExp == 0xFF ) {
+        if ( bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+        return packFloat32( zSign, 0, 0 );
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) {
+            if ( ( aExp | aSig ) == 0 ) {
+                float_raise( float_flag_invalid STATUS_VAR);
+                return float32_default_nan;
+            }
+            float_raise( float_flag_divbyzero STATUS_VAR);
+            return packFloat32( zSign, 0xFF, 0 );
+        }
+        normalizeFloat32Subnormal( bSig, &bExp, &bSig );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloat32( zSign, 0, 0 );
+        normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+    }
+    zExp = aExp - bExp + 0x7D;
+    aSig = ( aSig | 0x00800000 )<<7;
+    bSig = ( bSig | 0x00800000 )<<8;
+    if ( bSig <= ( aSig + aSig ) ) {
+        aSig >>= 1;
+        ++zExp;
+    }
+    zSig = ( ( (bits64) aSig )<<32 ) / bSig;
+    if ( ( zSig & 0x3F ) == 0 ) {
+        zSig |= ( (bits64) bSig * zSig != ( (bits64) aSig )<<32 );
+    }
+    return roundAndPackFloat32( zSign, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the remainder of the single-precision floating-point value `a'
+| with respect to the corresponding value `b'.  The operation is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float32_rem( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int16 aExp, bExp, expDiff;
+    bits32 aSig, bSig;
+    bits32 q;
+    bits64 aSig64, bSig64, q64;
+    bits32 alternateASig;
+    sbits32 sigMean;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    bSig = extractFloat32Frac( b );
+    bExp = extractFloat32Exp( b );
+    bSign = extractFloat32Sign( b );
+    if ( aExp == 0xFF ) {
+        if ( aSig || ( ( bExp == 0xFF ) && bSig ) ) {
+            return propagateFloat32NaN( a, b STATUS_VAR );
+        }
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float32_default_nan;
+    }
+    if ( bExp == 0xFF ) {
+        if ( bSig ) return propagateFloat32NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float32_default_nan;
+        }
+        normalizeFloat32Subnormal( bSig, &bExp, &bSig );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return a;
+        normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+    }
+    expDiff = aExp - bExp;
+    aSig |= 0x00800000;
+    bSig |= 0x00800000;
+    if ( expDiff < 32 ) {
+        aSig <<= 8;
+        bSig <<= 8;
+        if ( expDiff < 0 ) {
+            if ( expDiff < -1 ) return a;
+            aSig >>= 1;
+        }
+        q = ( bSig <= aSig );
+        if ( q ) aSig -= bSig;
+        if ( 0 < expDiff ) {
+            q = ( ( (bits64) aSig )<<32 ) / bSig;
+            q >>= 32 - expDiff;
+            bSig >>= 2;
+            aSig = ( ( aSig>>1 )<<( expDiff - 1 ) ) - bSig * q;
+        }
+        else {
+            aSig >>= 2;
+            bSig >>= 2;
+        }
+    }
+    else {
+        if ( bSig <= aSig ) aSig -= bSig;
+        aSig64 = ( (bits64) aSig )<<40;
+        bSig64 = ( (bits64) bSig )<<40;
+        expDiff -= 64;
+        while ( 0 < expDiff ) {
+            q64 = estimateDiv128To64( aSig64, 0, bSig64 );
+            q64 = ( 2 < q64 ) ? q64 - 2 : 0;
+            aSig64 = - ( ( bSig * q64 )<<38 );
+            expDiff -= 62;
+        }
+        expDiff += 64;
+        q64 = estimateDiv128To64( aSig64, 0, bSig64 );
+        q64 = ( 2 < q64 ) ? q64 - 2 : 0;
+        q = q64>>( 64 - expDiff );
+        bSig <<= 6;
+        aSig = ( ( aSig64>>33 )<<( expDiff - 1 ) ) - bSig * q;
+    }
+    do {
+        alternateASig = aSig;
+        ++q;
+        aSig -= bSig;
+    } while ( 0 <= (sbits32) aSig );
+    sigMean = aSig + alternateASig;
+    if ( ( sigMean < 0 ) || ( ( sigMean == 0 ) && ( q & 1 ) ) ) {
+        aSig = alternateASig;
+    }
+    zSign = ( (sbits32) aSig < 0 );
+    if ( zSign ) aSig = - aSig;
+    return normalizeRoundAndPackFloat32( aSign ^ zSign, bExp, aSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the square root of the single-precision floating-point value `a'.
+| The operation is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float32_sqrt( float32 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, zExp;
+    bits32 aSig, zSig;
+    bits64 rem, term;
+
+    aSig = extractFloat32Frac( a );
+    aExp = extractFloat32Exp( a );
+    aSign = extractFloat32Sign( a );
+    if ( aExp == 0xFF ) {
+        if ( aSig ) return propagateFloat32NaN( a, 0 STATUS_VAR );
+        if ( ! aSign ) return a;
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float32_default_nan;
+    }
+    if ( aSign ) {
+        if ( ( aExp | aSig ) == 0 ) return a;
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float32_default_nan;
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return 0;
+        normalizeFloat32Subnormal( aSig, &aExp, &aSig );
+    }
+    zExp = ( ( aExp - 0x7F )>>1 ) + 0x7E;
+    aSig = ( aSig | 0x00800000 )<<8;
+    zSig = estimateSqrt32( aExp, aSig ) + 2;
+    if ( ( zSig & 0x7F ) <= 5 ) {
+        if ( zSig < 2 ) {
+            zSig = 0x7FFFFFFF;
+            goto roundAndPack;
+        }
+        aSig >>= aExp & 1;
+        term = ( (bits64) zSig ) * zSig;
+        rem = ( ( (bits64) aSig )<<32 ) - term;
+        while ( (sbits64) rem < 0 ) {
+            --zSig;
+            rem += ( ( (bits64) zSig )<<1 ) | 1;
+        }
+        zSig |= ( rem != 0 );
+    }
+    shift32RightJamming( zSig, 1, &zSig );
+ roundAndPack:
+    return roundAndPackFloat32( 0, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is equal to
+| the corresponding value `b', and 0 otherwise.  The comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float32_eq( float32 a, float32 b STATUS_PARAM )
+{
+
+    if (    ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) )
+         || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) )
+       ) {
+        if ( float32_is_signaling_nan( a ) || float32_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    return ( a == b ) || ( (bits32) ( ( a | b )<<1 ) == 0 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is less than
+| or equal to the corresponding value `b', and 0 otherwise.  The comparison
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float32_le( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) )
+         || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloat32Sign( a );
+    bSign = extractFloat32Sign( b );
+    if ( aSign != bSign ) return aSign || ( (bits32) ( ( a | b )<<1 ) == 0 );
+    return ( a == b ) || ( aSign ^ ( a < b ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is less than
+| the corresponding value `b', and 0 otherwise.  The comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float32_lt( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) )
+         || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloat32Sign( a );
+    bSign = extractFloat32Sign( b );
+    if ( aSign != bSign ) return aSign && ( (bits32) ( ( a | b )<<1 ) != 0 );
+    return ( a != b ) && ( aSign ^ ( a < b ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is equal to
+| the corresponding value `b', and 0 otherwise.  The invalid exception is
+| raised if either operand is a NaN.  Otherwise, the comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float32_eq_signaling( float32 a, float32 b STATUS_PARAM )
+{
+
+    if (    ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) )
+         || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    return ( a == b ) || ( (bits32) ( ( a | b )<<1 ) == 0 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is less than or
+| equal to the corresponding value `b', and 0 otherwise.  Quiet NaNs do not
+| cause an exception.  Otherwise, the comparison is performed according to the
+| IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float32_le_quiet( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) )
+         || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) )
+       ) {
+        if ( float32_is_signaling_nan( a ) || float32_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloat32Sign( a );
+    bSign = extractFloat32Sign( b );
+    if ( aSign != bSign ) return aSign || ( (bits32) ( ( a | b )<<1 ) == 0 );
+    return ( a == b ) || ( aSign ^ ( a < b ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the single-precision floating-point value `a' is less than
+| the corresponding value `b', and 0 otherwise.  Quiet NaNs do not cause an
+| exception.  Otherwise, the comparison is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float32_lt_quiet( float32 a, float32 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat32Exp( a ) == 0xFF ) && extractFloat32Frac( a ) )
+         || ( ( extractFloat32Exp( b ) == 0xFF ) && extractFloat32Frac( b ) )
+       ) {
+        if ( float32_is_signaling_nan( a ) || float32_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloat32Sign( a );
+    bSign = extractFloat32Sign( b );
+    if ( aSign != bSign ) return aSign && ( (bits32) ( ( a | b )<<1 ) != 0 );
+    return ( a != b ) && ( aSign ^ ( a < b ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point value
+| `a' to the 32-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic---which means in particular that the conversion is rounded
+| according to the current rounding mode.  If `a' is a NaN, the largest
+| positive integer is returned.  Otherwise, if the conversion overflows, the
+| largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int32 float64_to_int32( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits64 aSig;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( ( aExp == 0x7FF ) && aSig ) aSign = 0;
+    if ( aExp ) aSig |= LIT64( 0x0010000000000000 );
+    shiftCount = 0x42C - aExp;
+    if ( 0 < shiftCount ) shift64RightJamming( aSig, shiftCount, &aSig );
+    return roundAndPackInt32( aSign, aSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point value
+| `a' to the 32-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic, except that the conversion is always rounded toward zero.
+| If `a' is a NaN, the largest positive integer is returned.  Otherwise, if
+| the conversion overflows, the largest integer with the same sign as `a' is
+| returned.
+*----------------------------------------------------------------------------*/
+
+int32 float64_to_int32_round_to_zero( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits64 aSig, savedASig;
+    int32 z;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( 0x41E < aExp ) {
+        if ( ( aExp == 0x7FF ) && aSig ) aSign = 0;
+        goto invalid;
+    }
+    else if ( aExp < 0x3FF ) {
+        if ( aExp || aSig ) STATUS(float_exception_flags) |= float_flag_inexact;
+        return 0;
+    }
+    aSig |= LIT64( 0x0010000000000000 );
+    shiftCount = 0x433 - aExp;
+    savedASig = aSig;
+    aSig >>= shiftCount;
+    z = aSig;
+    if ( aSign ) z = - z;
+    if ( ( z < 0 ) ^ aSign ) {
+ invalid:
+        float_raise( float_flag_invalid STATUS_VAR);
+        return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF;
+    }
+    if ( ( aSig<<shiftCount ) != savedASig ) {
+        STATUS(float_exception_flags) |= float_flag_inexact;
+    }
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point value
+| `a' to the 64-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic---which means in particular that the conversion is rounded
+| according to the current rounding mode.  If `a' is a NaN, the largest
+| positive integer is returned.  Otherwise, if the conversion overflows, the
+| largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int64 float64_to_int64( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits64 aSig, aSigExtra;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( aExp ) aSig |= LIT64( 0x0010000000000000 );
+    shiftCount = 0x433 - aExp;
+    if ( shiftCount <= 0 ) {
+        if ( 0x43E < aExp ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            if (    ! aSign
+                 || (    ( aExp == 0x7FF )
+                      && ( aSig != LIT64( 0x0010000000000000 ) ) )
+               ) {
+                return LIT64( 0x7FFFFFFFFFFFFFFF );
+            }
+            return (sbits64) LIT64( 0x8000000000000000 );
+        }
+        aSigExtra = 0;
+        aSig <<= - shiftCount;
+    }
+    else {
+        shift64ExtraRightJamming( aSig, 0, shiftCount, &aSig, &aSigExtra );
+    }
+    return roundAndPackInt64( aSign, aSig, aSigExtra STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point value
+| `a' to the 64-bit two's complement integer format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic, except that the conversion is always rounded toward zero.
+| If `a' is a NaN, the largest positive integer is returned.  Otherwise, if
+| the conversion overflows, the largest integer with the same sign as `a' is
+| returned.
+*----------------------------------------------------------------------------*/
+
+int64 float64_to_int64_round_to_zero( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, shiftCount;
+    bits64 aSig;
+    int64 z;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( aExp ) aSig |= LIT64( 0x0010000000000000 );
+    shiftCount = aExp - 0x433;
+    if ( 0 <= shiftCount ) {
+        if ( 0x43E <= aExp ) {
+            if ( a != LIT64( 0xC3E0000000000000 ) ) {
+                float_raise( float_flag_invalid STATUS_VAR);
+                if (    ! aSign
+                     || (    ( aExp == 0x7FF )
+                          && ( aSig != LIT64( 0x0010000000000000 ) ) )
+                   ) {
+                    return LIT64( 0x7FFFFFFFFFFFFFFF );
+                }
+            }
+            return (sbits64) LIT64( 0x8000000000000000 );
+        }
+        z = aSig<<shiftCount;
+    }
+    else {
+        if ( aExp < 0x3FE ) {
+            if ( aExp | aSig ) STATUS(float_exception_flags) |= float_flag_inexact;
+            return 0;
+        }
+        z = aSig>>( - shiftCount );
+        if ( (bits64) ( aSig<<( shiftCount & 63 ) ) ) {
+            STATUS(float_exception_flags) |= float_flag_inexact;
+        }
+    }
+    if ( aSign ) z = - z;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point value
+| `a' to the single-precision floating-point format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float64_to_float32( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits64 aSig;
+    bits32 zSig;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( aExp == 0x7FF ) {
+        if ( aSig ) return commonNaNToFloat32( float64ToCommonNaN( a STATUS_VAR ) );
+        return packFloat32( aSign, 0xFF, 0 );
+    }
+    shift64RightJamming( aSig, 22, &aSig );
+    zSig = aSig;
+    if ( aExp || zSig ) {
+        zSig |= 0x40000000;
+        aExp -= 0x381;
+    }
+    return roundAndPackFloat32( aSign, aExp, zSig STATUS_VAR );
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point value
+| `a' to the extended double-precision floating-point format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 float64_to_floatx80( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits64 aSig;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( aExp == 0x7FF ) {
+        if ( aSig ) return commonNaNToFloatx80( float64ToCommonNaN( a STATUS_VAR ) );
+        return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloatx80( aSign, 0, 0 );
+        normalizeFloat64Subnormal( aSig, &aExp, &aSig );
+    }
+    return
+        packFloatx80(
+            aSign, aExp + 0x3C00, ( aSig | LIT64( 0x0010000000000000 ) )<<11 );
+
+}
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the double-precision floating-point value
+| `a' to the quadruple-precision floating-point format.  The conversion is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float64_to_float128( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits64 aSig, zSig0, zSig1;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( aExp == 0x7FF ) {
+        if ( aSig ) return commonNaNToFloat128( float64ToCommonNaN( a STATUS_VAR ) );
+        return packFloat128( aSign, 0x7FFF, 0, 0 );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloat128( aSign, 0, 0, 0 );
+        normalizeFloat64Subnormal( aSig, &aExp, &aSig );
+        --aExp;
+    }
+    shift128Right( aSig, 0, 4, &zSig0, &zSig1 );
+    return packFloat128( aSign, aExp + 0x3C00, zSig0, zSig1 );
+
+}
+
+#endif
+
+/*----------------------------------------------------------------------------
+| Rounds the double-precision floating-point value `a' to an integer, and
+| returns the result as a double-precision floating-point value.  The
+| operation is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float64_round_to_int( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits64 lastBitMask, roundBitsMask;
+    int8 roundingMode;
+    float64 z;
+
+    aExp = extractFloat64Exp( a );
+    if ( 0x433 <= aExp ) {
+        if ( ( aExp == 0x7FF ) && extractFloat64Frac( a ) ) {
+            return propagateFloat64NaN( a, a STATUS_VAR );
+        }
+        return a;
+    }
+    if ( aExp < 0x3FF ) {
+        if ( (bits64) ( a<<1 ) == 0 ) return a;
+        STATUS(float_exception_flags) |= float_flag_inexact;
+        aSign = extractFloat64Sign( a );
+        switch ( STATUS(float_rounding_mode) ) {
+         case float_round_nearest_even:
+            if ( ( aExp == 0x3FE ) && extractFloat64Frac( a ) ) {
+                return packFloat64( aSign, 0x3FF, 0 );
+            }
+            break;
+         case float_round_down:
+            return aSign ? LIT64( 0xBFF0000000000000 ) : 0;
+         case float_round_up:
+            return
+            aSign ? LIT64( 0x8000000000000000 ) : LIT64( 0x3FF0000000000000 );
+        }
+        return packFloat64( aSign, 0, 0 );
+    }
+    lastBitMask = 1;
+    lastBitMask <<= 0x433 - aExp;
+    roundBitsMask = lastBitMask - 1;
+    z = a;
+    roundingMode = STATUS(float_rounding_mode);
+    if ( roundingMode == float_round_nearest_even ) {
+        z += lastBitMask>>1;
+        if ( ( z & roundBitsMask ) == 0 ) z &= ~ lastBitMask;
+    }
+    else if ( roundingMode != float_round_to_zero ) {
+        if ( extractFloat64Sign( z ) ^ ( roundingMode == float_round_up ) ) {
+            z += roundBitsMask;
+        }
+    }
+    z &= ~ roundBitsMask;
+    if ( z != a ) STATUS(float_exception_flags) |= float_flag_inexact;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the absolute values of the double-precision
+| floating-point values `a' and `b'.  If `zSign' is 1, the sum is negated
+| before being returned.  `zSign' is ignored if the result is a NaN.
+| The addition is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float64 addFloat64Sigs( float64 a, float64 b, flag zSign STATUS_PARAM )
+{
+    int16 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig;
+    int16 expDiff;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    bSig = extractFloat64Frac( b );
+    bExp = extractFloat64Exp( b );
+    expDiff = aExp - bExp;
+    aSig <<= 9;
+    bSig <<= 9;
+    if ( 0 < expDiff ) {
+        if ( aExp == 0x7FF ) {
+            if ( aSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+            return a;
+        }
+        if ( bExp == 0 ) {
+            --expDiff;
+        }
+        else {
+            bSig |= LIT64( 0x2000000000000000 );
+        }
+        shift64RightJamming( bSig, expDiff, &bSig );
+        zExp = aExp;
+    }
+    else if ( expDiff < 0 ) {
+        if ( bExp == 0x7FF ) {
+            if ( bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+            return packFloat64( zSign, 0x7FF, 0 );
+        }
+        if ( aExp == 0 ) {
+            ++expDiff;
+        }
+        else {
+            aSig |= LIT64( 0x2000000000000000 );
+        }
+        shift64RightJamming( aSig, - expDiff, &aSig );
+        zExp = bExp;
+    }
+    else {
+        if ( aExp == 0x7FF ) {
+            if ( aSig | bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+            return a;
+        }
+        if ( aExp == 0 ) return packFloat64( zSign, 0, ( aSig + bSig )>>9 );
+        zSig = LIT64( 0x4000000000000000 ) + aSig + bSig;
+        zExp = aExp;
+        goto roundAndPack;
+    }
+    aSig |= LIT64( 0x2000000000000000 );
+    zSig = ( aSig + bSig )<<1;
+    --zExp;
+    if ( (sbits64) zSig < 0 ) {
+        zSig = aSig + bSig;
+        ++zExp;
+    }
+ roundAndPack:
+    return roundAndPackFloat64( zSign, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the absolute values of the double-
+| precision floating-point values `a' and `b'.  If `zSign' is 1, the
+| difference is negated before being returned.  `zSign' is ignored if the
+| result is a NaN.  The subtraction is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float64 subFloat64Sigs( float64 a, float64 b, flag zSign STATUS_PARAM )
+{
+    int16 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig;
+    int16 expDiff;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    bSig = extractFloat64Frac( b );
+    bExp = extractFloat64Exp( b );
+    expDiff = aExp - bExp;
+    aSig <<= 10;
+    bSig <<= 10;
+    if ( 0 < expDiff ) goto aExpBigger;
+    if ( expDiff < 0 ) goto bExpBigger;
+    if ( aExp == 0x7FF ) {
+        if ( aSig | bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float64_default_nan;
+    }
+    if ( aExp == 0 ) {
+        aExp = 1;
+        bExp = 1;
+    }
+    if ( bSig < aSig ) goto aBigger;
+    if ( aSig < bSig ) goto bBigger;
+    return packFloat64( STATUS(float_rounding_mode) == float_round_down, 0, 0 );
+ bExpBigger:
+    if ( bExp == 0x7FF ) {
+        if ( bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+        return packFloat64( zSign ^ 1, 0x7FF, 0 );
+    }
+    if ( aExp == 0 ) {
+        ++expDiff;
+    }
+    else {
+        aSig |= LIT64( 0x4000000000000000 );
+    }
+    shift64RightJamming( aSig, - expDiff, &aSig );
+    bSig |= LIT64( 0x4000000000000000 );
+ bBigger:
+    zSig = bSig - aSig;
+    zExp = bExp;
+    zSign ^= 1;
+    goto normalizeRoundAndPack;
+ aExpBigger:
+    if ( aExp == 0x7FF ) {
+        if ( aSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) {
+        --expDiff;
+    }
+    else {
+        bSig |= LIT64( 0x4000000000000000 );
+    }
+    shift64RightJamming( bSig, expDiff, &bSig );
+    aSig |= LIT64( 0x4000000000000000 );
+ aBigger:
+    zSig = aSig - bSig;
+    zExp = aExp;
+ normalizeRoundAndPack:
+    --zExp;
+    return normalizeRoundAndPackFloat64( zSign, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the double-precision floating-point values `a'
+| and `b'.  The operation is performed according to the IEC/IEEE Standard for
+| Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float64_add( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloat64Sign( a );
+    bSign = extractFloat64Sign( b );
+    if ( aSign == bSign ) {
+        return addFloat64Sigs( a, b, aSign STATUS_VAR );
+    }
+    else {
+        return subFloat64Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the double-precision floating-point values
+| `a' and `b'.  The operation is performed according to the IEC/IEEE Standard
+| for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float64_sub( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloat64Sign( a );
+    bSign = extractFloat64Sign( b );
+    if ( aSign == bSign ) {
+        return subFloat64Sigs( a, b, aSign STATUS_VAR );
+    }
+    else {
+        return addFloat64Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of multiplying the double-precision floating-point values
+| `a' and `b'.  The operation is performed according to the IEC/IEEE Standard
+| for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float64_mul( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int16 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig0, zSig1;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    bSig = extractFloat64Frac( b );
+    bExp = extractFloat64Exp( b );
+    bSign = extractFloat64Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0x7FF ) {
+        if ( aSig || ( ( bExp == 0x7FF ) && bSig ) ) {
+            return propagateFloat64NaN( a, b STATUS_VAR );
+        }
+        if ( ( bExp | bSig ) == 0 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float64_default_nan;
+        }
+        return packFloat64( zSign, 0x7FF, 0 );
+    }
+    if ( bExp == 0x7FF ) {
+        if ( bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+        if ( ( aExp | aSig ) == 0 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float64_default_nan;
+        }
+        return packFloat64( zSign, 0x7FF, 0 );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloat64( zSign, 0, 0 );
+        normalizeFloat64Subnormal( aSig, &aExp, &aSig );
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) return packFloat64( zSign, 0, 0 );
+        normalizeFloat64Subnormal( bSig, &bExp, &bSig );
+    }
+    zExp = aExp + bExp - 0x3FF;
+    aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<10;
+    bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11;
+    mul64To128( aSig, bSig, &zSig0, &zSig1 );
+    zSig0 |= ( zSig1 != 0 );
+    if ( 0 <= (sbits64) ( zSig0<<1 ) ) {
+        zSig0 <<= 1;
+        --zExp;
+    }
+    return roundAndPackFloat64( zSign, zExp, zSig0 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of dividing the double-precision floating-point value `a'
+| by the corresponding value `b'.  The operation is performed according to
+| the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float64_div( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int16 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig;
+    bits64 rem0, rem1;
+    bits64 term0, term1;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    bSig = extractFloat64Frac( b );
+    bExp = extractFloat64Exp( b );
+    bSign = extractFloat64Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0x7FF ) {
+        if ( aSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+        if ( bExp == 0x7FF ) {
+            if ( bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float64_default_nan;
+        }
+        return packFloat64( zSign, 0x7FF, 0 );
+    }
+    if ( bExp == 0x7FF ) {
+        if ( bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+        return packFloat64( zSign, 0, 0 );
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) {
+            if ( ( aExp | aSig ) == 0 ) {
+                float_raise( float_flag_invalid STATUS_VAR);
+                return float64_default_nan;
+            }
+            float_raise( float_flag_divbyzero STATUS_VAR);
+            return packFloat64( zSign, 0x7FF, 0 );
+        }
+        normalizeFloat64Subnormal( bSig, &bExp, &bSig );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloat64( zSign, 0, 0 );
+        normalizeFloat64Subnormal( aSig, &aExp, &aSig );
+    }
+    zExp = aExp - bExp + 0x3FD;
+    aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<10;
+    bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11;
+    if ( bSig <= ( aSig + aSig ) ) {
+        aSig >>= 1;
+        ++zExp;
+    }
+    zSig = estimateDiv128To64( aSig, 0, bSig );
+    if ( ( zSig & 0x1FF ) <= 2 ) {
+        mul64To128( bSig, zSig, &term0, &term1 );
+        sub128( aSig, 0, term0, term1, &rem0, &rem1 );
+        while ( (sbits64) rem0 < 0 ) {
+            --zSig;
+            add128( rem0, rem1, 0, bSig, &rem0, &rem1 );
+        }
+        zSig |= ( rem1 != 0 );
+    }
+    return roundAndPackFloat64( zSign, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the remainder of the double-precision floating-point value `a'
+| with respect to the corresponding value `b'.  The operation is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float64_rem( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int16 aExp, bExp, expDiff;
+    bits64 aSig, bSig;
+    bits64 q, alternateASig;
+    sbits64 sigMean;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    bSig = extractFloat64Frac( b );
+    bExp = extractFloat64Exp( b );
+    bSign = extractFloat64Sign( b );
+    if ( aExp == 0x7FF ) {
+        if ( aSig || ( ( bExp == 0x7FF ) && bSig ) ) {
+            return propagateFloat64NaN( a, b STATUS_VAR );
+        }
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float64_default_nan;
+    }
+    if ( bExp == 0x7FF ) {
+        if ( bSig ) return propagateFloat64NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            return float64_default_nan;
+        }
+        normalizeFloat64Subnormal( bSig, &bExp, &bSig );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return a;
+        normalizeFloat64Subnormal( aSig, &aExp, &aSig );
+    }
+    expDiff = aExp - bExp;
+    aSig = ( aSig | LIT64( 0x0010000000000000 ) )<<11;
+    bSig = ( bSig | LIT64( 0x0010000000000000 ) )<<11;
+    if ( expDiff < 0 ) {
+        if ( expDiff < -1 ) return a;
+        aSig >>= 1;
+    }
+    q = ( bSig <= aSig );
+    if ( q ) aSig -= bSig;
+    expDiff -= 64;
+    while ( 0 < expDiff ) {
+        q = estimateDiv128To64( aSig, 0, bSig );
+        q = ( 2 < q ) ? q - 2 : 0;
+        aSig = - ( ( bSig>>2 ) * q );
+        expDiff -= 62;
+    }
+    expDiff += 64;
+    if ( 0 < expDiff ) {
+        q = estimateDiv128To64( aSig, 0, bSig );
+        q = ( 2 < q ) ? q - 2 : 0;
+        q >>= 64 - expDiff;
+        bSig >>= 2;
+        aSig = ( ( aSig>>1 )<<( expDiff - 1 ) ) - bSig * q;
+    }
+    else {
+        aSig >>= 2;
+        bSig >>= 2;
+    }
+    do {
+        alternateASig = aSig;
+        ++q;
+        aSig -= bSig;
+    } while ( 0 <= (sbits64) aSig );
+    sigMean = aSig + alternateASig;
+    if ( ( sigMean < 0 ) || ( ( sigMean == 0 ) && ( q & 1 ) ) ) {
+        aSig = alternateASig;
+    }
+    zSign = ( (sbits64) aSig < 0 );
+    if ( zSign ) aSig = - aSig;
+    return normalizeRoundAndPackFloat64( aSign ^ zSign, bExp, aSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the square root of the double-precision floating-point value `a'.
+| The operation is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float64_sqrt( float64 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp, zExp;
+    bits64 aSig, zSig, doubleZSig;
+    bits64 rem0, rem1, term0, term1;
+
+    aSig = extractFloat64Frac( a );
+    aExp = extractFloat64Exp( a );
+    aSign = extractFloat64Sign( a );
+    if ( aExp == 0x7FF ) {
+        if ( aSig ) return propagateFloat64NaN( a, a STATUS_VAR );
+        if ( ! aSign ) return a;
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float64_default_nan;
+    }
+    if ( aSign ) {
+        if ( ( aExp | aSig ) == 0 ) return a;
+        float_raise( float_flag_invalid STATUS_VAR);
+        return float64_default_nan;
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return 0;
+        normalizeFloat64Subnormal( aSig, &aExp, &aSig );
+    }
+    zExp = ( ( aExp - 0x3FF )>>1 ) + 0x3FE;
+    aSig |= LIT64( 0x0010000000000000 );
+    zSig = estimateSqrt32( aExp, aSig>>21 );
+    aSig <<= 9 - ( aExp & 1 );
+    zSig = estimateDiv128To64( aSig, 0, zSig<<32 ) + ( zSig<<30 );
+    if ( ( zSig & 0x1FF ) <= 5 ) {
+        doubleZSig = zSig<<1;
+        mul64To128( zSig, zSig, &term0, &term1 );
+        sub128( aSig, 0, term0, term1, &rem0, &rem1 );
+        while ( (sbits64) rem0 < 0 ) {
+            --zSig;
+            doubleZSig -= 2;
+            add128( rem0, rem1, zSig>>63, doubleZSig | 1, &rem0, &rem1 );
+        }
+        zSig |= ( ( rem0 | rem1 ) != 0 );
+    }
+    return roundAndPackFloat64( 0, zExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is equal to the
+| corresponding value `b', and 0 otherwise.  The comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float64_eq( float64 a, float64 b STATUS_PARAM )
+{
+
+    if (    ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) )
+         || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) )
+       ) {
+        if ( float64_is_signaling_nan( a ) || float64_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    return ( a == b ) || ( (bits64) ( ( a | b )<<1 ) == 0 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is less than or
+| equal to the corresponding value `b', and 0 otherwise.  The comparison is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float64_le( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) )
+         || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloat64Sign( a );
+    bSign = extractFloat64Sign( b );
+    if ( aSign != bSign ) return aSign || ( (bits64) ( ( a | b )<<1 ) == 0 );
+    return ( a == b ) || ( aSign ^ ( a < b ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is less than
+| the corresponding value `b', and 0 otherwise.  The comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float64_lt( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) )
+         || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloat64Sign( a );
+    bSign = extractFloat64Sign( b );
+    if ( aSign != bSign ) return aSign && ( (bits64) ( ( a | b )<<1 ) != 0 );
+    return ( a != b ) && ( aSign ^ ( a < b ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is equal to the
+| corresponding value `b', and 0 otherwise.  The invalid exception is raised
+| if either operand is a NaN.  Otherwise, the comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float64_eq_signaling( float64 a, float64 b STATUS_PARAM )
+{
+
+    if (    ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) )
+         || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    return ( a == b ) || ( (bits64) ( ( a | b )<<1 ) == 0 );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is less than or
+| equal to the corresponding value `b', and 0 otherwise.  Quiet NaNs do not
+| cause an exception.  Otherwise, the comparison is performed according to the
+| IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float64_le_quiet( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) )
+         || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) )
+       ) {
+        if ( float64_is_signaling_nan( a ) || float64_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloat64Sign( a );
+    bSign = extractFloat64Sign( b );
+    if ( aSign != bSign ) return aSign || ( (bits64) ( ( a | b )<<1 ) == 0 );
+    return ( a == b ) || ( aSign ^ ( a < b ) );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the double-precision floating-point value `a' is less than
+| the corresponding value `b', and 0 otherwise.  Quiet NaNs do not cause an
+| exception.  Otherwise, the comparison is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float64_lt_quiet( float64 a, float64 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    ( ( extractFloat64Exp( a ) == 0x7FF ) && extractFloat64Frac( a ) )
+         || ( ( extractFloat64Exp( b ) == 0x7FF ) && extractFloat64Frac( b ) )
+       ) {
+        if ( float64_is_signaling_nan( a ) || float64_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloat64Sign( a );
+    bSign = extractFloat64Sign( b );
+    if ( aSign != bSign ) return aSign && ( (bits64) ( ( a | b )<<1 ) != 0 );
+    return ( a != b ) && ( aSign ^ ( a < b ) );
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point value `a' to the 32-bit two's complement integer format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic---which means in particular that the conversion
+| is rounded according to the current rounding mode.  If `a' is a NaN, the
+| largest positive integer is returned.  Otherwise, if the conversion
+| overflows, the largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int32 floatx80_to_int32( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    if ( ( aExp == 0x7FFF ) && (bits64) ( aSig<<1 ) ) aSign = 0;
+    shiftCount = 0x4037 - aExp;
+    if ( shiftCount <= 0 ) shiftCount = 1;
+    shift64RightJamming( aSig, shiftCount, &aSig );
+    return roundAndPackInt32( aSign, aSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point value `a' to the 32-bit two's complement integer format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic, except that the conversion is always rounded
+| toward zero.  If `a' is a NaN, the largest positive integer is returned.
+| Otherwise, if the conversion overflows, the largest integer with the same
+| sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int32 floatx80_to_int32_round_to_zero( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig, savedASig;
+    int32 z;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    if ( 0x401E < aExp ) {
+        if ( ( aExp == 0x7FFF ) && (bits64) ( aSig<<1 ) ) aSign = 0;
+        goto invalid;
+    }
+    else if ( aExp < 0x3FFF ) {
+        if ( aExp || aSig ) STATUS(float_exception_flags) |= float_flag_inexact;
+        return 0;
+    }
+    shiftCount = 0x403E - aExp;
+    savedASig = aSig;
+    aSig >>= shiftCount;
+    z = aSig;
+    if ( aSign ) z = - z;
+    if ( ( z < 0 ) ^ aSign ) {
+ invalid:
+        float_raise( float_flag_invalid STATUS_VAR);
+        return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF;
+    }
+    if ( ( aSig<<shiftCount ) != savedASig ) {
+        STATUS(float_exception_flags) |= float_flag_inexact;
+    }
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point value `a' to the 64-bit two's complement integer format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic---which means in particular that the conversion
+| is rounded according to the current rounding mode.  If `a' is a NaN,
+| the largest positive integer is returned.  Otherwise, if the conversion
+| overflows, the largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int64 floatx80_to_int64( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig, aSigExtra;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    shiftCount = 0x403E - aExp;
+    if ( shiftCount <= 0 ) {
+        if ( shiftCount ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            if (    ! aSign
+                 || (    ( aExp == 0x7FFF )
+                      && ( aSig != LIT64( 0x8000000000000000 ) ) )
+               ) {
+                return LIT64( 0x7FFFFFFFFFFFFFFF );
+            }
+            return (sbits64) LIT64( 0x8000000000000000 );
+        }
+        aSigExtra = 0;
+    }
+    else {
+        shift64ExtraRightJamming( aSig, 0, shiftCount, &aSig, &aSigExtra );
+    }
+    return roundAndPackInt64( aSign, aSig, aSigExtra STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point value `a' to the 64-bit two's complement integer format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic, except that the conversion is always rounded
+| toward zero.  If `a' is a NaN, the largest positive integer is returned.
+| Otherwise, if the conversion overflows, the largest integer with the same
+| sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int64 floatx80_to_int64_round_to_zero( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig;
+    int64 z;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    shiftCount = aExp - 0x403E;
+    if ( 0 <= shiftCount ) {
+        aSig &= LIT64( 0x7FFFFFFFFFFFFFFF );
+        if ( ( a.high != 0xC03E ) || aSig ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            if ( ! aSign || ( ( aExp == 0x7FFF ) && aSig ) ) {
+                return LIT64( 0x7FFFFFFFFFFFFFFF );
+            }
+        }
+        return (sbits64) LIT64( 0x8000000000000000 );
+    }
+    else if ( aExp < 0x3FFF ) {
+        if ( aExp | aSig ) STATUS(float_exception_flags) |= float_flag_inexact;
+        return 0;
+    }
+    z = aSig>>( - shiftCount );
+    if ( (bits64) ( aSig<<( shiftCount & 63 ) ) ) {
+        STATUS(float_exception_flags) |= float_flag_inexact;
+    }
+    if ( aSign ) z = - z;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point value `a' to the single-precision floating-point format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 floatx80_to_float32( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp;
+    bits64 aSig;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    if ( aExp == 0x7FFF ) {
+        if ( (bits64) ( aSig<<1 ) ) {
+            return commonNaNToFloat32( floatx80ToCommonNaN( a STATUS_VAR ) );
+        }
+        return packFloat32( aSign, 0xFF, 0 );
+    }
+    shift64RightJamming( aSig, 33, &aSig );
+    if ( aExp || aSig ) aExp -= 0x3F81;
+    return roundAndPackFloat32( aSign, aExp, aSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point value `a' to the double-precision floating-point format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 floatx80_to_float64( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp;
+    bits64 aSig, zSig;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    if ( aExp == 0x7FFF ) {
+        if ( (bits64) ( aSig<<1 ) ) {
+            return commonNaNToFloat64( floatx80ToCommonNaN( a STATUS_VAR ) );
+        }
+        return packFloat64( aSign, 0x7FF, 0 );
+    }
+    shift64RightJamming( aSig, 1, &zSig );
+    if ( aExp || aSig ) aExp -= 0x3C01;
+    return roundAndPackFloat64( aSign, aExp, zSig STATUS_VAR );
+
+}
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the extended double-precision floating-
+| point value `a' to the quadruple-precision floating-point format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 floatx80_to_float128( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int16 aExp;
+    bits64 aSig, zSig0, zSig1;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    if ( ( aExp == 0x7FFF ) && (bits64) ( aSig<<1 ) ) {
+        return commonNaNToFloat128( floatx80ToCommonNaN( a STATUS_VAR ) );
+    }
+    shift128Right( aSig<<1, 0, 16, &zSig0, &zSig1 );
+    return packFloat128( aSign, aExp, zSig0, zSig1 );
+
+}
+
+#endif
+
+/*----------------------------------------------------------------------------
+| Rounds the extended double-precision floating-point value `a' to an integer,
+| and returns the result as an extended quadruple-precision floating-point
+| value.  The operation is performed according to the IEC/IEEE Standard for
+| Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_round_to_int( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp;
+    bits64 lastBitMask, roundBitsMask;
+    int8 roundingMode;
+    floatx80 z;
+
+    aExp = extractFloatx80Exp( a );
+    if ( 0x403E <= aExp ) {
+        if ( ( aExp == 0x7FFF ) && (bits64) ( extractFloatx80Frac( a )<<1 ) ) {
+            return propagateFloatx80NaN( a, a STATUS_VAR );
+        }
+        return a;
+    }
+    if ( aExp < 0x3FFF ) {
+        if (    ( aExp == 0 )
+             && ( (bits64) ( extractFloatx80Frac( a )<<1 ) == 0 ) ) {
+            return a;
+        }
+        STATUS(float_exception_flags) |= float_flag_inexact;
+        aSign = extractFloatx80Sign( a );
+        switch ( STATUS(float_rounding_mode) ) {
+         case float_round_nearest_even:
+            if ( ( aExp == 0x3FFE ) && (bits64) ( extractFloatx80Frac( a )<<1 )
+               ) {
+                return
+                    packFloatx80( aSign, 0x3FFF, LIT64( 0x8000000000000000 ) );
+            }
+            break;
+         case float_round_down:
+            return
+                  aSign ?
+                      packFloatx80( 1, 0x3FFF, LIT64( 0x8000000000000000 ) )
+                : packFloatx80( 0, 0, 0 );
+         case float_round_up:
+            return
+                  aSign ? packFloatx80( 1, 0, 0 )
+                : packFloatx80( 0, 0x3FFF, LIT64( 0x8000000000000000 ) );
+        }
+        return packFloatx80( aSign, 0, 0 );
+    }
+    lastBitMask = 1;
+    lastBitMask <<= 0x403E - aExp;
+    roundBitsMask = lastBitMask - 1;
+    z = a;
+    roundingMode = STATUS(float_rounding_mode);
+    if ( roundingMode == float_round_nearest_even ) {
+        z.low += lastBitMask>>1;
+        if ( ( z.low & roundBitsMask ) == 0 ) z.low &= ~ lastBitMask;
+    }
+    else if ( roundingMode != float_round_to_zero ) {
+        if ( extractFloatx80Sign( z ) ^ ( roundingMode == float_round_up ) ) {
+            z.low += roundBitsMask;
+        }
+    }
+    z.low &= ~ roundBitsMask;
+    if ( z.low == 0 ) {
+        ++z.high;
+        z.low = LIT64( 0x8000000000000000 );
+    }
+    if ( z.low != a.low ) STATUS(float_exception_flags) |= float_flag_inexact;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the absolute values of the extended double-
+| precision floating-point values `a' and `b'.  If `zSign' is 1, the sum is
+| negated before being returned.  `zSign' is ignored if the result is a NaN.
+| The addition is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static floatx80 addFloatx80Sigs( floatx80 a, floatx80 b, flag zSign STATUS_PARAM)
+{
+    int32 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig0, zSig1;
+    int32 expDiff;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    bSig = extractFloatx80Frac( b );
+    bExp = extractFloatx80Exp( b );
+    expDiff = aExp - bExp;
+    if ( 0 < expDiff ) {
+        if ( aExp == 0x7FFF ) {
+            if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+            return a;
+        }
+        if ( bExp == 0 ) --expDiff;
+        shift64ExtraRightJamming( bSig, 0, expDiff, &bSig, &zSig1 );
+        zExp = aExp;
+    }
+    else if ( expDiff < 0 ) {
+        if ( bExp == 0x7FFF ) {
+            if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+            return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+        }
+        if ( aExp == 0 ) ++expDiff;
+        shift64ExtraRightJamming( aSig, 0, - expDiff, &aSig, &zSig1 );
+        zExp = bExp;
+    }
+    else {
+        if ( aExp == 0x7FFF ) {
+            if ( (bits64) ( ( aSig | bSig )<<1 ) ) {
+                return propagateFloatx80NaN( a, b STATUS_VAR );
+            }
+            return a;
+        }
+        zSig1 = 0;
+        zSig0 = aSig + bSig;
+        if ( aExp == 0 ) {
+            normalizeFloatx80Subnormal( zSig0, &zExp, &zSig0 );
+            goto roundAndPack;
+        }
+        zExp = aExp;
+        goto shiftRight1;
+    }
+    zSig0 = aSig + bSig;
+    if ( (sbits64) zSig0 < 0 ) goto roundAndPack;
+ shiftRight1:
+    shift64ExtraRightJamming( zSig0, zSig1, 1, &zSig0, &zSig1 );
+    zSig0 |= LIT64( 0x8000000000000000 );
+    ++zExp;
+ roundAndPack:
+    return
+        roundAndPackFloatx80(
+            STATUS(floatx80_rounding_precision), zSign, zExp, zSig0, zSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the absolute values of the extended
+| double-precision floating-point values `a' and `b'.  If `zSign' is 1, the
+| difference is negated before being returned.  `zSign' is ignored if the
+| result is a NaN.  The subtraction is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static floatx80 subFloatx80Sigs( floatx80 a, floatx80 b, flag zSign STATUS_PARAM )
+{
+    int32 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig0, zSig1;
+    int32 expDiff;
+    floatx80 z;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    bSig = extractFloatx80Frac( b );
+    bExp = extractFloatx80Exp( b );
+    expDiff = aExp - bExp;
+    if ( 0 < expDiff ) goto aExpBigger;
+    if ( expDiff < 0 ) goto bExpBigger;
+    if ( aExp == 0x7FFF ) {
+        if ( (bits64) ( ( aSig | bSig )<<1 ) ) {
+            return propagateFloatx80NaN( a, b STATUS_VAR );
+        }
+        float_raise( float_flag_invalid STATUS_VAR);
+        z.low = floatx80_default_nan_low;
+        z.high = floatx80_default_nan_high;
+        return z;
+    }
+    if ( aExp == 0 ) {
+        aExp = 1;
+        bExp = 1;
+    }
+    zSig1 = 0;
+    if ( bSig < aSig ) goto aBigger;
+    if ( aSig < bSig ) goto bBigger;
+    return packFloatx80( STATUS(float_rounding_mode) == float_round_down, 0, 0 );
+ bExpBigger:
+    if ( bExp == 0x7FFF ) {
+        if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+        return packFloatx80( zSign ^ 1, 0x7FFF, LIT64( 0x8000000000000000 ) );
+    }
+    if ( aExp == 0 ) ++expDiff;
+    shift128RightJamming( aSig, 0, - expDiff, &aSig, &zSig1 );
+ bBigger:
+    sub128( bSig, 0, aSig, zSig1, &zSig0, &zSig1 );
+    zExp = bExp;
+    zSign ^= 1;
+    goto normalizeRoundAndPack;
+ aExpBigger:
+    if ( aExp == 0x7FFF ) {
+        if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) --expDiff;
+    shift128RightJamming( bSig, 0, expDiff, &bSig, &zSig1 );
+ aBigger:
+    sub128( aSig, 0, bSig, zSig1, &zSig0, &zSig1 );
+    zExp = aExp;
+ normalizeRoundAndPack:
+    return
+        normalizeRoundAndPackFloatx80(
+            STATUS(floatx80_rounding_precision), zSign, zExp, zSig0, zSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the extended double-precision floating-point
+| values `a' and `b'.  The operation is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_add( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloatx80Sign( a );
+    bSign = extractFloatx80Sign( b );
+    if ( aSign == bSign ) {
+        return addFloatx80Sigs( a, b, aSign STATUS_VAR );
+    }
+    else {
+        return subFloatx80Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the extended double-precision floating-
+| point values `a' and `b'.  The operation is performed according to the
+| IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_sub( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloatx80Sign( a );
+    bSign = extractFloatx80Sign( b );
+    if ( aSign == bSign ) {
+        return subFloatx80Sigs( a, b, aSign STATUS_VAR );
+    }
+    else {
+        return addFloatx80Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of multiplying the extended double-precision floating-
+| point values `a' and `b'.  The operation is performed according to the
+| IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_mul( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int32 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig0, zSig1;
+    floatx80 z;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    bSig = extractFloatx80Frac( b );
+    bExp = extractFloatx80Exp( b );
+    bSign = extractFloatx80Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0x7FFF ) {
+        if (    (bits64) ( aSig<<1 )
+             || ( ( bExp == 0x7FFF ) && (bits64) ( bSig<<1 ) ) ) {
+            return propagateFloatx80NaN( a, b STATUS_VAR );
+        }
+        if ( ( bExp | bSig ) == 0 ) goto invalid;
+        return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+    }
+    if ( bExp == 0x7FFF ) {
+        if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+        if ( ( aExp | aSig ) == 0 ) {
+ invalid:
+            float_raise( float_flag_invalid STATUS_VAR);
+            z.low = floatx80_default_nan_low;
+            z.high = floatx80_default_nan_high;
+            return z;
+        }
+        return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloatx80( zSign, 0, 0 );
+        normalizeFloatx80Subnormal( aSig, &aExp, &aSig );
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) return packFloatx80( zSign, 0, 0 );
+        normalizeFloatx80Subnormal( bSig, &bExp, &bSig );
+    }
+    zExp = aExp + bExp - 0x3FFE;
+    mul64To128( aSig, bSig, &zSig0, &zSig1 );
+    if ( 0 < (sbits64) zSig0 ) {
+        shortShift128Left( zSig0, zSig1, 1, &zSig0, &zSig1 );
+        --zExp;
+    }
+    return
+        roundAndPackFloatx80(
+            STATUS(floatx80_rounding_precision), zSign, zExp, zSig0, zSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of dividing the extended double-precision floating-point
+| value `a' by the corresponding value `b'.  The operation is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_div( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int32 aExp, bExp, zExp;
+    bits64 aSig, bSig, zSig0, zSig1;
+    bits64 rem0, rem1, rem2, term0, term1, term2;
+    floatx80 z;
+
+    aSig = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    bSig = extractFloatx80Frac( b );
+    bExp = extractFloatx80Exp( b );
+    bSign = extractFloatx80Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0x7FFF ) {
+        if ( (bits64) ( aSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+        if ( bExp == 0x7FFF ) {
+            if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+            goto invalid;
+        }
+        return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+    }
+    if ( bExp == 0x7FFF ) {
+        if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+        return packFloatx80( zSign, 0, 0 );
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) {
+            if ( ( aExp | aSig ) == 0 ) {
+ invalid:
+                float_raise( float_flag_invalid STATUS_VAR);
+                z.low = floatx80_default_nan_low;
+                z.high = floatx80_default_nan_high;
+                return z;
+            }
+            float_raise( float_flag_divbyzero STATUS_VAR);
+            return packFloatx80( zSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+        }
+        normalizeFloatx80Subnormal( bSig, &bExp, &bSig );
+    }
+    if ( aExp == 0 ) {
+        if ( aSig == 0 ) return packFloatx80( zSign, 0, 0 );
+        normalizeFloatx80Subnormal( aSig, &aExp, &aSig );
+    }
+    zExp = aExp - bExp + 0x3FFE;
+    rem1 = 0;
+    if ( bSig <= aSig ) {
+        shift128Right( aSig, 0, 1, &aSig, &rem1 );
+        ++zExp;
+    }
+    zSig0 = estimateDiv128To64( aSig, rem1, bSig );
+    mul64To128( bSig, zSig0, &term0, &term1 );
+    sub128( aSig, rem1, term0, term1, &rem0, &rem1 );
+    while ( (sbits64) rem0 < 0 ) {
+        --zSig0;
+        add128( rem0, rem1, 0, bSig, &rem0, &rem1 );
+    }
+    zSig1 = estimateDiv128To64( rem1, 0, bSig );
+    if ( (bits64) ( zSig1<<1 ) <= 8 ) {
+        mul64To128( bSig, zSig1, &term1, &term2 );
+        sub128( rem1, 0, term1, term2, &rem1, &rem2 );
+        while ( (sbits64) rem1 < 0 ) {
+            --zSig1;
+            add128( rem1, rem2, 0, bSig, &rem1, &rem2 );
+        }
+        zSig1 |= ( ( rem1 | rem2 ) != 0 );
+    }
+    return
+        roundAndPackFloatx80(
+            STATUS(floatx80_rounding_precision), zSign, zExp, zSig0, zSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the remainder of the extended double-precision floating-point value
+| `a' with respect to the corresponding value `b'.  The operation is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_rem( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int32 aExp, bExp, expDiff;
+    bits64 aSig0, aSig1, bSig;
+    bits64 q, term0, term1, alternateASig0, alternateASig1;
+    floatx80 z;
+
+    aSig0 = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    bSig = extractFloatx80Frac( b );
+    bExp = extractFloatx80Exp( b );
+    bSign = extractFloatx80Sign( b );
+    if ( aExp == 0x7FFF ) {
+        if (    (bits64) ( aSig0<<1 )
+             || ( ( bExp == 0x7FFF ) && (bits64) ( bSig<<1 ) ) ) {
+            return propagateFloatx80NaN( a, b STATUS_VAR );
+        }
+        goto invalid;
+    }
+    if ( bExp == 0x7FFF ) {
+        if ( (bits64) ( bSig<<1 ) ) return propagateFloatx80NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) {
+        if ( bSig == 0 ) {
+ invalid:
+            float_raise( float_flag_invalid STATUS_VAR);
+            z.low = floatx80_default_nan_low;
+            z.high = floatx80_default_nan_high;
+            return z;
+        }
+        normalizeFloatx80Subnormal( bSig, &bExp, &bSig );
+    }
+    if ( aExp == 0 ) {
+        if ( (bits64) ( aSig0<<1 ) == 0 ) return a;
+        normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 );
+    }
+    bSig |= LIT64( 0x8000000000000000 );
+    zSign = aSign;
+    expDiff = aExp - bExp;
+    aSig1 = 0;
+    if ( expDiff < 0 ) {
+        if ( expDiff < -1 ) return a;
+        shift128Right( aSig0, 0, 1, &aSig0, &aSig1 );
+        expDiff = 0;
+    }
+    q = ( bSig <= aSig0 );
+    if ( q ) aSig0 -= bSig;
+    expDiff -= 64;
+    while ( 0 < expDiff ) {
+        q = estimateDiv128To64( aSig0, aSig1, bSig );
+        q = ( 2 < q ) ? q - 2 : 0;
+        mul64To128( bSig, q, &term0, &term1 );
+        sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 );
+        shortShift128Left( aSig0, aSig1, 62, &aSig0, &aSig1 );
+        expDiff -= 62;
+    }
+    expDiff += 64;
+    if ( 0 < expDiff ) {
+        q = estimateDiv128To64( aSig0, aSig1, bSig );
+        q = ( 2 < q ) ? q - 2 : 0;
+        q >>= 64 - expDiff;
+        mul64To128( bSig, q<<( 64 - expDiff ), &term0, &term1 );
+        sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 );
+        shortShift128Left( 0, bSig, 64 - expDiff, &term0, &term1 );
+        while ( le128( term0, term1, aSig0, aSig1 ) ) {
+            ++q;
+            sub128( aSig0, aSig1, term0, term1, &aSig0, &aSig1 );
+        }
+    }
+    else {
+        term1 = 0;
+        term0 = bSig;
+    }
+    sub128( term0, term1, aSig0, aSig1, &alternateASig0, &alternateASig1 );
+    if (    lt128( alternateASig0, alternateASig1, aSig0, aSig1 )
+         || (    eq128( alternateASig0, alternateASig1, aSig0, aSig1 )
+              && ( q & 1 ) )
+       ) {
+        aSig0 = alternateASig0;
+        aSig1 = alternateASig1;
+        zSign = ! zSign;
+    }
+    return
+        normalizeRoundAndPackFloatx80(
+            80, zSign, bExp + expDiff, aSig0, aSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the square root of the extended double-precision floating-point
+| value `a'.  The operation is performed according to the IEC/IEEE Standard
+| for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 floatx80_sqrt( floatx80 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, zExp;
+    bits64 aSig0, aSig1, zSig0, zSig1, doubleZSig0;
+    bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3;
+    floatx80 z;
+
+    aSig0 = extractFloatx80Frac( a );
+    aExp = extractFloatx80Exp( a );
+    aSign = extractFloatx80Sign( a );
+    if ( aExp == 0x7FFF ) {
+        if ( (bits64) ( aSig0<<1 ) ) return propagateFloatx80NaN( a, a STATUS_VAR );
+        if ( ! aSign ) return a;
+        goto invalid;
+    }
+    if ( aSign ) {
+        if ( ( aExp | aSig0 ) == 0 ) return a;
+ invalid:
+        float_raise( float_flag_invalid STATUS_VAR);
+        z.low = floatx80_default_nan_low;
+        z.high = floatx80_default_nan_high;
+        return z;
+    }
+    if ( aExp == 0 ) {
+        if ( aSig0 == 0 ) return packFloatx80( 0, 0, 0 );
+        normalizeFloatx80Subnormal( aSig0, &aExp, &aSig0 );
+    }
+    zExp = ( ( aExp - 0x3FFF )>>1 ) + 0x3FFF;
+    zSig0 = estimateSqrt32( aExp, aSig0>>32 );
+    shift128Right( aSig0, 0, 2 + ( aExp & 1 ), &aSig0, &aSig1 );
+    zSig0 = estimateDiv128To64( aSig0, aSig1, zSig0<<32 ) + ( zSig0<<30 );
+    doubleZSig0 = zSig0<<1;
+    mul64To128( zSig0, zSig0, &term0, &term1 );
+    sub128( aSig0, aSig1, term0, term1, &rem0, &rem1 );
+    while ( (sbits64) rem0 < 0 ) {
+        --zSig0;
+        doubleZSig0 -= 2;
+        add128( rem0, rem1, zSig0>>63, doubleZSig0 | 1, &rem0, &rem1 );
+    }
+    zSig1 = estimateDiv128To64( rem1, 0, doubleZSig0 );
+    if ( ( zSig1 & LIT64( 0x3FFFFFFFFFFFFFFF ) ) <= 5 ) {
+        if ( zSig1 == 0 ) zSig1 = 1;
+        mul64To128( doubleZSig0, zSig1, &term1, &term2 );
+        sub128( rem1, 0, term1, term2, &rem1, &rem2 );
+        mul64To128( zSig1, zSig1, &term2, &term3 );
+        sub192( rem1, rem2, 0, 0, term2, term3, &rem1, &rem2, &rem3 );
+        while ( (sbits64) rem1 < 0 ) {
+            --zSig1;
+            shortShift128Left( 0, zSig1, 1, &term2, &term3 );
+            term3 |= 1;
+            term2 |= doubleZSig0;
+            add192( rem1, rem2, rem3, 0, term2, term3, &rem1, &rem2, &rem3 );
+        }
+        zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 );
+    }
+    shortShift128Left( 0, zSig1, 1, &zSig0, &zSig1 );
+    zSig0 |= doubleZSig0;
+    return
+        roundAndPackFloatx80(
+            STATUS(floatx80_rounding_precision), 0, zExp, zSig0, zSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is
+| equal to the corresponding value `b', and 0 otherwise.  The comparison is
+| performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_eq( floatx80 a, floatx80 b STATUS_PARAM )
+{
+
+    if (    (    ( extractFloatx80Exp( a ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( a )<<1 ) )
+         || (    ( extractFloatx80Exp( b ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( b )<<1 ) )
+       ) {
+        if (    floatx80_is_signaling_nan( a )
+             || floatx80_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    return
+           ( a.low == b.low )
+        && (    ( a.high == b.high )
+             || (    ( a.low == 0 )
+                  && ( (bits16) ( ( a.high | b.high )<<1 ) == 0 ) )
+           );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is
+| less than or equal to the corresponding value `b', and 0 otherwise.  The
+| comparison is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_le( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloatx80Exp( a ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( a )<<1 ) )
+         || (    ( extractFloatx80Exp( b ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( b )<<1 ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloatx80Sign( a );
+    bSign = extractFloatx80Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            || (    ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 == 0 );
+    }
+    return
+          aSign ? le128( b.high, b.low, a.high, a.low )
+        : le128( a.high, a.low, b.high, b.low );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is
+| less than the corresponding value `b', and 0 otherwise.  The comparison
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_lt( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloatx80Exp( a ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( a )<<1 ) )
+         || (    ( extractFloatx80Exp( b ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( b )<<1 ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloatx80Sign( a );
+    bSign = extractFloatx80Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            && (    ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 != 0 );
+    }
+    return
+          aSign ? lt128( b.high, b.low, a.high, a.low )
+        : lt128( a.high, a.low, b.high, b.low );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is equal
+| to the corresponding value `b', and 0 otherwise.  The invalid exception is
+| raised if either operand is a NaN.  Otherwise, the comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_eq_signaling( floatx80 a, floatx80 b STATUS_PARAM )
+{
+
+    if (    (    ( extractFloatx80Exp( a ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( a )<<1 ) )
+         || (    ( extractFloatx80Exp( b ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( b )<<1 ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    return
+           ( a.low == b.low )
+        && (    ( a.high == b.high )
+             || (    ( a.low == 0 )
+                  && ( (bits16) ( ( a.high | b.high )<<1 ) == 0 ) )
+           );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is less
+| than or equal to the corresponding value `b', and 0 otherwise.  Quiet NaNs
+| do not cause an exception.  Otherwise, the comparison is performed according
+| to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_le_quiet( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloatx80Exp( a ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( a )<<1 ) )
+         || (    ( extractFloatx80Exp( b ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( b )<<1 ) )
+       ) {
+        if (    floatx80_is_signaling_nan( a )
+             || floatx80_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloatx80Sign( a );
+    bSign = extractFloatx80Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            || (    ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 == 0 );
+    }
+    return
+          aSign ? le128( b.high, b.low, a.high, a.low )
+        : le128( a.high, a.low, b.high, b.low );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the extended double-precision floating-point value `a' is less
+| than the corresponding value `b', and 0 otherwise.  Quiet NaNs do not cause
+| an exception.  Otherwise, the comparison is performed according to the
+| IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag floatx80_lt_quiet( floatx80 a, floatx80 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloatx80Exp( a ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( a )<<1 ) )
+         || (    ( extractFloatx80Exp( b ) == 0x7FFF )
+              && (bits64) ( extractFloatx80Frac( b )<<1 ) )
+       ) {
+        if (    floatx80_is_signaling_nan( a )
+             || floatx80_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloatx80Sign( a );
+    bSign = extractFloatx80Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            && (    ( ( (bits16) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 != 0 );
+    }
+    return
+          aSign ? lt128( b.high, b.low, a.high, a.low )
+        : lt128( a.high, a.low, b.high, b.low );
+
+}
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point
+| value `a' to the 32-bit two's complement integer format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic---which means in particular that the conversion is rounded
+| according to the current rounding mode.  If `a' is a NaN, the largest
+| positive integer is returned.  Otherwise, if the conversion overflows, the
+| largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int32 float128_to_int32( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig0, aSig1;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    if ( ( aExp == 0x7FFF ) && ( aSig0 | aSig1 ) ) aSign = 0;
+    if ( aExp ) aSig0 |= LIT64( 0x0001000000000000 );
+    aSig0 |= ( aSig1 != 0 );
+    shiftCount = 0x4028 - aExp;
+    if ( 0 < shiftCount ) shift64RightJamming( aSig0, shiftCount, &aSig0 );
+    return roundAndPackInt32( aSign, aSig0 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point
+| value `a' to the 32-bit two's complement integer format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic, except that the conversion is always rounded toward zero.  If
+| `a' is a NaN, the largest positive integer is returned.  Otherwise, if the
+| conversion overflows, the largest integer with the same sign as `a' is
+| returned.
+*----------------------------------------------------------------------------*/
+
+int32 float128_to_int32_round_to_zero( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig0, aSig1, savedASig;
+    int32 z;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    aSig0 |= ( aSig1 != 0 );
+    if ( 0x401E < aExp ) {
+        if ( ( aExp == 0x7FFF ) && aSig0 ) aSign = 0;
+        goto invalid;
+    }
+    else if ( aExp < 0x3FFF ) {
+        if ( aExp || aSig0 ) STATUS(float_exception_flags) |= float_flag_inexact;
+        return 0;
+    }
+    aSig0 |= LIT64( 0x0001000000000000 );
+    shiftCount = 0x402F - aExp;
+    savedASig = aSig0;
+    aSig0 >>= shiftCount;
+    z = aSig0;
+    if ( aSign ) z = - z;
+    if ( ( z < 0 ) ^ aSign ) {
+ invalid:
+        float_raise( float_flag_invalid STATUS_VAR);
+        return aSign ? (sbits32) 0x80000000 : 0x7FFFFFFF;
+    }
+    if ( ( aSig0<<shiftCount ) != savedASig ) {
+        STATUS(float_exception_flags) |= float_flag_inexact;
+    }
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point
+| value `a' to the 64-bit two's complement integer format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic---which means in particular that the conversion is rounded
+| according to the current rounding mode.  If `a' is a NaN, the largest
+| positive integer is returned.  Otherwise, if the conversion overflows, the
+| largest integer with the same sign as `a' is returned.
+*----------------------------------------------------------------------------*/
+
+int64 float128_to_int64( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig0, aSig1;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    if ( aExp ) aSig0 |= LIT64( 0x0001000000000000 );
+    shiftCount = 0x402F - aExp;
+    if ( shiftCount <= 0 ) {
+        if ( 0x403E < aExp ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+            if (    ! aSign
+                 || (    ( aExp == 0x7FFF )
+                      && ( aSig1 || ( aSig0 != LIT64( 0x0001000000000000 ) ) )
+                    )
+               ) {
+                return LIT64( 0x7FFFFFFFFFFFFFFF );
+            }
+            return (sbits64) LIT64( 0x8000000000000000 );
+        }
+        shortShift128Left( aSig0, aSig1, - shiftCount, &aSig0, &aSig1 );
+    }
+    else {
+        shift64ExtraRightJamming( aSig0, aSig1, shiftCount, &aSig0, &aSig1 );
+    }
+    return roundAndPackInt64( aSign, aSig0, aSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point
+| value `a' to the 64-bit two's complement integer format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic, except that the conversion is always rounded toward zero.
+| If `a' is a NaN, the largest positive integer is returned.  Otherwise, if
+| the conversion overflows, the largest integer with the same sign as `a' is
+| returned.
+*----------------------------------------------------------------------------*/
+
+int64 float128_to_int64_round_to_zero( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, shiftCount;
+    bits64 aSig0, aSig1;
+    int64 z;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    if ( aExp ) aSig0 |= LIT64( 0x0001000000000000 );
+    shiftCount = aExp - 0x402F;
+    if ( 0 < shiftCount ) {
+        if ( 0x403E <= aExp ) {
+            aSig0 &= LIT64( 0x0000FFFFFFFFFFFF );
+            if (    ( a.high == LIT64( 0xC03E000000000000 ) )
+                 && ( aSig1 < LIT64( 0x0002000000000000 ) ) ) {
+                if ( aSig1 ) STATUS(float_exception_flags) |= float_flag_inexact;
+            }
+            else {
+                float_raise( float_flag_invalid STATUS_VAR);
+                if ( ! aSign || ( ( aExp == 0x7FFF ) && ( aSig0 | aSig1 ) ) ) {
+                    return LIT64( 0x7FFFFFFFFFFFFFFF );
+                }
+            }
+            return (sbits64) LIT64( 0x8000000000000000 );
+        }
+        z = ( aSig0<<shiftCount ) | ( aSig1>>( ( - shiftCount ) & 63 ) );
+        if ( (bits64) ( aSig1<<shiftCount ) ) {
+            STATUS(float_exception_flags) |= float_flag_inexact;
+        }
+    }
+    else {
+        if ( aExp < 0x3FFF ) {
+            if ( aExp | aSig0 | aSig1 ) {
+                STATUS(float_exception_flags) |= float_flag_inexact;
+            }
+            return 0;
+        }
+        z = aSig0>>( - shiftCount );
+        if (    aSig1
+             || ( shiftCount && (bits64) ( aSig0<<( shiftCount & 63 ) ) ) ) {
+            STATUS(float_exception_flags) |= float_flag_inexact;
+        }
+    }
+    if ( aSign ) z = - z;
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point
+| value `a' to the single-precision floating-point format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float32 float128_to_float32( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp;
+    bits64 aSig0, aSig1;
+    bits32 zSig;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    if ( aExp == 0x7FFF ) {
+        if ( aSig0 | aSig1 ) {
+            return commonNaNToFloat32( float128ToCommonNaN( a STATUS_VAR ) );
+        }
+        return packFloat32( aSign, 0xFF, 0 );
+    }
+    aSig0 |= ( aSig1 != 0 );
+    shift64RightJamming( aSig0, 18, &aSig0 );
+    zSig = aSig0;
+    if ( aExp || zSig ) {
+        zSig |= 0x40000000;
+        aExp -= 0x3F81;
+    }
+    return roundAndPackFloat32( aSign, aExp, zSig STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point
+| value `a' to the double-precision floating-point format.  The conversion
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float64 float128_to_float64( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp;
+    bits64 aSig0, aSig1;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    if ( aExp == 0x7FFF ) {
+        if ( aSig0 | aSig1 ) {
+            return commonNaNToFloat64( float128ToCommonNaN( a STATUS_VAR ) );
+        }
+        return packFloat64( aSign, 0x7FF, 0 );
+    }
+    shortShift128Left( aSig0, aSig1, 14, &aSig0, &aSig1 );
+    aSig0 |= ( aSig1 != 0 );
+    if ( aExp || aSig0 ) {
+        aSig0 |= LIT64( 0x4000000000000000 );
+        aExp -= 0x3C01;
+    }
+    return roundAndPackFloat64( aSign, aExp, aSig0 STATUS_VAR );
+
+}
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Returns the result of converting the quadruple-precision floating-point
+| value `a' to the extended double-precision floating-point format.  The
+| conversion is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 float128_to_floatx80( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp;
+    bits64 aSig0, aSig1;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    if ( aExp == 0x7FFF ) {
+        if ( aSig0 | aSig1 ) {
+            return commonNaNToFloatx80( float128ToCommonNaN( a STATUS_VAR ) );
+        }
+        return packFloatx80( aSign, 0x7FFF, LIT64( 0x8000000000000000 ) );
+    }
+    if ( aExp == 0 ) {
+        if ( ( aSig0 | aSig1 ) == 0 ) return packFloatx80( aSign, 0, 0 );
+        normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 );
+    }
+    else {
+        aSig0 |= LIT64( 0x0001000000000000 );
+    }
+    shortShift128Left( aSig0, aSig1, 15, &aSig0, &aSig1 );
+    return roundAndPackFloatx80( 80, aSign, aExp, aSig0, aSig1 STATUS_VAR );
+
+}
+
+#endif
+
+/*----------------------------------------------------------------------------
+| Rounds the quadruple-precision floating-point value `a' to an integer, and
+| returns the result as a quadruple-precision floating-point value.  The
+| operation is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float128_round_to_int( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp;
+    bits64 lastBitMask, roundBitsMask;
+    int8 roundingMode;
+    float128 z;
+
+    aExp = extractFloat128Exp( a );
+    if ( 0x402F <= aExp ) {
+        if ( 0x406F <= aExp ) {
+            if (    ( aExp == 0x7FFF )
+                 && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) )
+               ) {
+                return propagateFloat128NaN( a, a STATUS_VAR );
+            }
+            return a;
+        }
+        lastBitMask = 1;
+        lastBitMask = ( lastBitMask<<( 0x406E - aExp ) )<<1;
+        roundBitsMask = lastBitMask - 1;
+        z = a;
+        roundingMode = STATUS(float_rounding_mode);
+        if ( roundingMode == float_round_nearest_even ) {
+            if ( lastBitMask ) {
+                add128( z.high, z.low, 0, lastBitMask>>1, &z.high, &z.low );
+                if ( ( z.low & roundBitsMask ) == 0 ) z.low &= ~ lastBitMask;
+            }
+            else {
+                if ( (sbits64) z.low < 0 ) {
+                    ++z.high;
+                    if ( (bits64) ( z.low<<1 ) == 0 ) z.high &= ~1;
+                }
+            }
+        }
+        else if ( roundingMode != float_round_to_zero ) {
+            if (   extractFloat128Sign( z )
+                 ^ ( roundingMode == float_round_up ) ) {
+                add128( z.high, z.low, 0, roundBitsMask, &z.high, &z.low );
+            }
+        }
+        z.low &= ~ roundBitsMask;
+    }
+    else {
+        if ( aExp < 0x3FFF ) {
+            if ( ( ( (bits64) ( a.high<<1 ) ) | a.low ) == 0 ) return a;
+            STATUS(float_exception_flags) |= float_flag_inexact;
+            aSign = extractFloat128Sign( a );
+            switch ( STATUS(float_rounding_mode) ) {
+             case float_round_nearest_even:
+                if (    ( aExp == 0x3FFE )
+                     && (   extractFloat128Frac0( a )
+                          | extractFloat128Frac1( a ) )
+                   ) {
+                    return packFloat128( aSign, 0x3FFF, 0, 0 );
+                }
+                break;
+             case float_round_down:
+                return
+                      aSign ? packFloat128( 1, 0x3FFF, 0, 0 )
+                    : packFloat128( 0, 0, 0, 0 );
+             case float_round_up:
+                return
+                      aSign ? packFloat128( 1, 0, 0, 0 )
+                    : packFloat128( 0, 0x3FFF, 0, 0 );
+            }
+            return packFloat128( aSign, 0, 0, 0 );
+        }
+        lastBitMask = 1;
+        lastBitMask <<= 0x402F - aExp;
+        roundBitsMask = lastBitMask - 1;
+        z.low = 0;
+        z.high = a.high;
+        roundingMode = STATUS(float_rounding_mode);
+        if ( roundingMode == float_round_nearest_even ) {
+            z.high += lastBitMask>>1;
+            if ( ( ( z.high & roundBitsMask ) | a.low ) == 0 ) {
+                z.high &= ~ lastBitMask;
+            }
+        }
+        else if ( roundingMode != float_round_to_zero ) {
+            if (   extractFloat128Sign( z )
+                 ^ ( roundingMode == float_round_up ) ) {
+                z.high |= ( a.low != 0 );
+                z.high += roundBitsMask;
+            }
+        }
+        z.high &= ~ roundBitsMask;
+    }
+    if ( ( z.low != a.low ) || ( z.high != a.high ) ) {
+        STATUS(float_exception_flags) |= float_flag_inexact;
+    }
+    return z;
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the absolute values of the quadruple-precision
+| floating-point values `a' and `b'.  If `zSign' is 1, the sum is negated
+| before being returned.  `zSign' is ignored if the result is a NaN.
+| The addition is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float128 addFloat128Sigs( float128 a, float128 b, flag zSign STATUS_PARAM)
+{
+    int32 aExp, bExp, zExp;
+    bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2;
+    int32 expDiff;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    bSig1 = extractFloat128Frac1( b );
+    bSig0 = extractFloat128Frac0( b );
+    bExp = extractFloat128Exp( b );
+    expDiff = aExp - bExp;
+    if ( 0 < expDiff ) {
+        if ( aExp == 0x7FFF ) {
+            if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+            return a;
+        }
+        if ( bExp == 0 ) {
+            --expDiff;
+        }
+        else {
+            bSig0 |= LIT64( 0x0001000000000000 );
+        }
+        shift128ExtraRightJamming(
+            bSig0, bSig1, 0, expDiff, &bSig0, &bSig1, &zSig2 );
+        zExp = aExp;
+    }
+    else if ( expDiff < 0 ) {
+        if ( bExp == 0x7FFF ) {
+            if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+            return packFloat128( zSign, 0x7FFF, 0, 0 );
+        }
+        if ( aExp == 0 ) {
+            ++expDiff;
+        }
+        else {
+            aSig0 |= LIT64( 0x0001000000000000 );
+        }
+        shift128ExtraRightJamming(
+            aSig0, aSig1, 0, - expDiff, &aSig0, &aSig1, &zSig2 );
+        zExp = bExp;
+    }
+    else {
+        if ( aExp == 0x7FFF ) {
+            if ( aSig0 | aSig1 | bSig0 | bSig1 ) {
+                return propagateFloat128NaN( a, b STATUS_VAR );
+            }
+            return a;
+        }
+        add128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 );
+        if ( aExp == 0 ) return packFloat128( zSign, 0, zSig0, zSig1 );
+        zSig2 = 0;
+        zSig0 |= LIT64( 0x0002000000000000 );
+        zExp = aExp;
+        goto shiftRight1;
+    }
+    aSig0 |= LIT64( 0x0001000000000000 );
+    add128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 );
+    --zExp;
+    if ( zSig0 < LIT64( 0x0002000000000000 ) ) goto roundAndPack;
+    ++zExp;
+ shiftRight1:
+    shift128ExtraRightJamming(
+        zSig0, zSig1, zSig2, 1, &zSig0, &zSig1, &zSig2 );
+ roundAndPack:
+    return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the absolute values of the quadruple-
+| precision floating-point values `a' and `b'.  If `zSign' is 1, the
+| difference is negated before being returned.  `zSign' is ignored if the
+| result is a NaN.  The subtraction is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+static float128 subFloat128Sigs( float128 a, float128 b, flag zSign STATUS_PARAM)
+{
+    int32 aExp, bExp, zExp;
+    bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1;
+    int32 expDiff;
+    float128 z;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    bSig1 = extractFloat128Frac1( b );
+    bSig0 = extractFloat128Frac0( b );
+    bExp = extractFloat128Exp( b );
+    expDiff = aExp - bExp;
+    shortShift128Left( aSig0, aSig1, 14, &aSig0, &aSig1 );
+    shortShift128Left( bSig0, bSig1, 14, &bSig0, &bSig1 );
+    if ( 0 < expDiff ) goto aExpBigger;
+    if ( expDiff < 0 ) goto bExpBigger;
+    if ( aExp == 0x7FFF ) {
+        if ( aSig0 | aSig1 | bSig0 | bSig1 ) {
+            return propagateFloat128NaN( a, b STATUS_VAR );
+        }
+        float_raise( float_flag_invalid STATUS_VAR);
+        z.low = float128_default_nan_low;
+        z.high = float128_default_nan_high;
+        return z;
+    }
+    if ( aExp == 0 ) {
+        aExp = 1;
+        bExp = 1;
+    }
+    if ( bSig0 < aSig0 ) goto aBigger;
+    if ( aSig0 < bSig0 ) goto bBigger;
+    if ( bSig1 < aSig1 ) goto aBigger;
+    if ( aSig1 < bSig1 ) goto bBigger;
+    return packFloat128( STATUS(float_rounding_mode) == float_round_down, 0, 0, 0 );
+ bExpBigger:
+    if ( bExp == 0x7FFF ) {
+        if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+        return packFloat128( zSign ^ 1, 0x7FFF, 0, 0 );
+    }
+    if ( aExp == 0 ) {
+        ++expDiff;
+    }
+    else {
+        aSig0 |= LIT64( 0x4000000000000000 );
+    }
+    shift128RightJamming( aSig0, aSig1, - expDiff, &aSig0, &aSig1 );
+    bSig0 |= LIT64( 0x4000000000000000 );
+ bBigger:
+    sub128( bSig0, bSig1, aSig0, aSig1, &zSig0, &zSig1 );
+    zExp = bExp;
+    zSign ^= 1;
+    goto normalizeRoundAndPack;
+ aExpBigger:
+    if ( aExp == 0x7FFF ) {
+        if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) {
+        --expDiff;
+    }
+    else {
+        bSig0 |= LIT64( 0x4000000000000000 );
+    }
+    shift128RightJamming( bSig0, bSig1, expDiff, &bSig0, &bSig1 );
+    aSig0 |= LIT64( 0x4000000000000000 );
+ aBigger:
+    sub128( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1 );
+    zExp = aExp;
+ normalizeRoundAndPack:
+    --zExp;
+    return normalizeRoundAndPackFloat128( zSign, zExp - 14, zSig0, zSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of adding the quadruple-precision floating-point values
+| `a' and `b'.  The operation is performed according to the IEC/IEEE Standard
+| for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float128_add( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloat128Sign( a );
+    bSign = extractFloat128Sign( b );
+    if ( aSign == bSign ) {
+        return addFloat128Sigs( a, b, aSign STATUS_VAR );
+    }
+    else {
+        return subFloat128Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of subtracting the quadruple-precision floating-point
+| values `a' and `b'.  The operation is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float128_sub( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    aSign = extractFloat128Sign( a );
+    bSign = extractFloat128Sign( b );
+    if ( aSign == bSign ) {
+        return subFloat128Sigs( a, b, aSign STATUS_VAR );
+    }
+    else {
+        return addFloat128Sigs( a, b, aSign STATUS_VAR );
+    }
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of multiplying the quadruple-precision floating-point
+| values `a' and `b'.  The operation is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float128_mul( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int32 aExp, bExp, zExp;
+    bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2, zSig3;
+    float128 z;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    bSig1 = extractFloat128Frac1( b );
+    bSig0 = extractFloat128Frac0( b );
+    bExp = extractFloat128Exp( b );
+    bSign = extractFloat128Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0x7FFF ) {
+        if (    ( aSig0 | aSig1 )
+             || ( ( bExp == 0x7FFF ) && ( bSig0 | bSig1 ) ) ) {
+            return propagateFloat128NaN( a, b STATUS_VAR );
+        }
+        if ( ( bExp | bSig0 | bSig1 ) == 0 ) goto invalid;
+        return packFloat128( zSign, 0x7FFF, 0, 0 );
+    }
+    if ( bExp == 0x7FFF ) {
+        if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+        if ( ( aExp | aSig0 | aSig1 ) == 0 ) {
+ invalid:
+            float_raise( float_flag_invalid STATUS_VAR);
+            z.low = float128_default_nan_low;
+            z.high = float128_default_nan_high;
+            return z;
+        }
+        return packFloat128( zSign, 0x7FFF, 0, 0 );
+    }
+    if ( aExp == 0 ) {
+        if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 );
+        normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 );
+    }
+    if ( bExp == 0 ) {
+        if ( ( bSig0 | bSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 );
+        normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 );
+    }
+    zExp = aExp + bExp - 0x4000;
+    aSig0 |= LIT64( 0x0001000000000000 );
+    shortShift128Left( bSig0, bSig1, 16, &bSig0, &bSig1 );
+    mul128To256( aSig0, aSig1, bSig0, bSig1, &zSig0, &zSig1, &zSig2, &zSig3 );
+    add128( zSig0, zSig1, aSig0, aSig1, &zSig0, &zSig1 );
+    zSig2 |= ( zSig3 != 0 );
+    if ( LIT64( 0x0002000000000000 ) <= zSig0 ) {
+        shift128ExtraRightJamming(
+            zSig0, zSig1, zSig2, 1, &zSig0, &zSig1, &zSig2 );
+        ++zExp;
+    }
+    return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the result of dividing the quadruple-precision floating-point value
+| `a' by the corresponding value `b'.  The operation is performed according to
+| the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float128_div( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int32 aExp, bExp, zExp;
+    bits64 aSig0, aSig1, bSig0, bSig1, zSig0, zSig1, zSig2;
+    bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3;
+    float128 z;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    bSig1 = extractFloat128Frac1( b );
+    bSig0 = extractFloat128Frac0( b );
+    bExp = extractFloat128Exp( b );
+    bSign = extractFloat128Sign( b );
+    zSign = aSign ^ bSign;
+    if ( aExp == 0x7FFF ) {
+        if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+        if ( bExp == 0x7FFF ) {
+            if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+            goto invalid;
+        }
+        return packFloat128( zSign, 0x7FFF, 0, 0 );
+    }
+    if ( bExp == 0x7FFF ) {
+        if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+        return packFloat128( zSign, 0, 0, 0 );
+    }
+    if ( bExp == 0 ) {
+        if ( ( bSig0 | bSig1 ) == 0 ) {
+            if ( ( aExp | aSig0 | aSig1 ) == 0 ) {
+ invalid:
+                float_raise( float_flag_invalid STATUS_VAR);
+                z.low = float128_default_nan_low;
+                z.high = float128_default_nan_high;
+                return z;
+            }
+            float_raise( float_flag_divbyzero STATUS_VAR);
+            return packFloat128( zSign, 0x7FFF, 0, 0 );
+        }
+        normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 );
+    }
+    if ( aExp == 0 ) {
+        if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( zSign, 0, 0, 0 );
+        normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 );
+    }
+    zExp = aExp - bExp + 0x3FFD;
+    shortShift128Left(
+        aSig0 | LIT64( 0x0001000000000000 ), aSig1, 15, &aSig0, &aSig1 );
+    shortShift128Left(
+        bSig0 | LIT64( 0x0001000000000000 ), bSig1, 15, &bSig0, &bSig1 );
+    if ( le128( bSig0, bSig1, aSig0, aSig1 ) ) {
+        shift128Right( aSig0, aSig1, 1, &aSig0, &aSig1 );
+        ++zExp;
+    }
+    zSig0 = estimateDiv128To64( aSig0, aSig1, bSig0 );
+    mul128By64To192( bSig0, bSig1, zSig0, &term0, &term1, &term2 );
+    sub192( aSig0, aSig1, 0, term0, term1, term2, &rem0, &rem1, &rem2 );
+    while ( (sbits64) rem0 < 0 ) {
+        --zSig0;
+        add192( rem0, rem1, rem2, 0, bSig0, bSig1, &rem0, &rem1, &rem2 );
+    }
+    zSig1 = estimateDiv128To64( rem1, rem2, bSig0 );
+    if ( ( zSig1 & 0x3FFF ) <= 4 ) {
+        mul128By64To192( bSig0, bSig1, zSig1, &term1, &term2, &term3 );
+        sub192( rem1, rem2, 0, term1, term2, term3, &rem1, &rem2, &rem3 );
+        while ( (sbits64) rem1 < 0 ) {
+            --zSig1;
+            add192( rem1, rem2, rem3, 0, bSig0, bSig1, &rem1, &rem2, &rem3 );
+        }
+        zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 );
+    }
+    shift128ExtraRightJamming( zSig0, zSig1, 0, 15, &zSig0, &zSig1, &zSig2 );
+    return roundAndPackFloat128( zSign, zExp, zSig0, zSig1, zSig2 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the remainder of the quadruple-precision floating-point value `a'
+| with respect to the corresponding value `b'.  The operation is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float128_rem( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign, zSign;
+    int32 aExp, bExp, expDiff;
+    bits64 aSig0, aSig1, bSig0, bSig1, q, term0, term1, term2;
+    bits64 allZero, alternateASig0, alternateASig1, sigMean1;
+    sbits64 sigMean0;
+    float128 z;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    bSig1 = extractFloat128Frac1( b );
+    bSig0 = extractFloat128Frac0( b );
+    bExp = extractFloat128Exp( b );
+    bSign = extractFloat128Sign( b );
+    if ( aExp == 0x7FFF ) {
+        if (    ( aSig0 | aSig1 )
+             || ( ( bExp == 0x7FFF ) && ( bSig0 | bSig1 ) ) ) {
+            return propagateFloat128NaN( a, b STATUS_VAR );
+        }
+        goto invalid;
+    }
+    if ( bExp == 0x7FFF ) {
+        if ( bSig0 | bSig1 ) return propagateFloat128NaN( a, b STATUS_VAR );
+        return a;
+    }
+    if ( bExp == 0 ) {
+        if ( ( bSig0 | bSig1 ) == 0 ) {
+ invalid:
+            float_raise( float_flag_invalid STATUS_VAR);
+            z.low = float128_default_nan_low;
+            z.high = float128_default_nan_high;
+            return z;
+        }
+        normalizeFloat128Subnormal( bSig0, bSig1, &bExp, &bSig0, &bSig1 );
+    }
+    if ( aExp == 0 ) {
+        if ( ( aSig0 | aSig1 ) == 0 ) return a;
+        normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 );
+    }
+    expDiff = aExp - bExp;
+    if ( expDiff < -1 ) return a;
+    shortShift128Left(
+        aSig0 | LIT64( 0x0001000000000000 ),
+        aSig1,
+        15 - ( expDiff < 0 ),
+        &aSig0,
+        &aSig1
+    );
+    shortShift128Left(
+        bSig0 | LIT64( 0x0001000000000000 ), bSig1, 15, &bSig0, &bSig1 );
+    q = le128( bSig0, bSig1, aSig0, aSig1 );
+    if ( q ) sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 );
+    expDiff -= 64;
+    while ( 0 < expDiff ) {
+        q = estimateDiv128To64( aSig0, aSig1, bSig0 );
+        q = ( 4 < q ) ? q - 4 : 0;
+        mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 );
+        shortShift192Left( term0, term1, term2, 61, &term1, &term2, &allZero );
+        shortShift128Left( aSig0, aSig1, 61, &aSig0, &allZero );
+        sub128( aSig0, 0, term1, term2, &aSig0, &aSig1 );
+        expDiff -= 61;
+    }
+    if ( -64 < expDiff ) {
+        q = estimateDiv128To64( aSig0, aSig1, bSig0 );
+        q = ( 4 < q ) ? q - 4 : 0;
+        q >>= - expDiff;
+        shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 );
+        expDiff += 52;
+        if ( expDiff < 0 ) {
+            shift128Right( aSig0, aSig1, - expDiff, &aSig0, &aSig1 );
+        }
+        else {
+            shortShift128Left( aSig0, aSig1, expDiff, &aSig0, &aSig1 );
+        }
+        mul128By64To192( bSig0, bSig1, q, &term0, &term1, &term2 );
+        sub128( aSig0, aSig1, term1, term2, &aSig0, &aSig1 );
+    }
+    else {
+        shift128Right( aSig0, aSig1, 12, &aSig0, &aSig1 );
+        shift128Right( bSig0, bSig1, 12, &bSig0, &bSig1 );
+    }
+    do {
+        alternateASig0 = aSig0;
+        alternateASig1 = aSig1;
+        ++q;
+        sub128( aSig0, aSig1, bSig0, bSig1, &aSig0, &aSig1 );
+    } while ( 0 <= (sbits64) aSig0 );
+    add128(
+        aSig0, aSig1, alternateASig0, alternateASig1, &sigMean0, &sigMean1 );
+    if (    ( sigMean0 < 0 )
+         || ( ( ( sigMean0 | sigMean1 ) == 0 ) && ( q & 1 ) ) ) {
+        aSig0 = alternateASig0;
+        aSig1 = alternateASig1;
+    }
+    zSign = ( (sbits64) aSig0 < 0 );
+    if ( zSign ) sub128( 0, 0, aSig0, aSig1, &aSig0, &aSig1 );
+    return
+        normalizeRoundAndPackFloat128( aSign ^ zSign, bExp - 4, aSig0, aSig1 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns the square root of the quadruple-precision floating-point value `a'.
+| The operation is performed according to the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+float128 float128_sqrt( float128 a STATUS_PARAM )
+{
+    flag aSign;
+    int32 aExp, zExp;
+    bits64 aSig0, aSig1, zSig0, zSig1, zSig2, doubleZSig0;
+    bits64 rem0, rem1, rem2, rem3, term0, term1, term2, term3;
+    float128 z;
+
+    aSig1 = extractFloat128Frac1( a );
+    aSig0 = extractFloat128Frac0( a );
+    aExp = extractFloat128Exp( a );
+    aSign = extractFloat128Sign( a );
+    if ( aExp == 0x7FFF ) {
+        if ( aSig0 | aSig1 ) return propagateFloat128NaN( a, a STATUS_VAR );
+        if ( ! aSign ) return a;
+        goto invalid;
+    }
+    if ( aSign ) {
+        if ( ( aExp | aSig0 | aSig1 ) == 0 ) return a;
+ invalid:
+        float_raise( float_flag_invalid STATUS_VAR);
+        z.low = float128_default_nan_low;
+        z.high = float128_default_nan_high;
+        return z;
+    }
+    if ( aExp == 0 ) {
+        if ( ( aSig0 | aSig1 ) == 0 ) return packFloat128( 0, 0, 0, 0 );
+        normalizeFloat128Subnormal( aSig0, aSig1, &aExp, &aSig0, &aSig1 );
+    }
+    zExp = ( ( aExp - 0x3FFF )>>1 ) + 0x3FFE;
+    aSig0 |= LIT64( 0x0001000000000000 );
+    zSig0 = estimateSqrt32( aExp, aSig0>>17 );
+    shortShift128Left( aSig0, aSig1, 13 - ( aExp & 1 ), &aSig0, &aSig1 );
+    zSig0 = estimateDiv128To64( aSig0, aSig1, zSig0<<32 ) + ( zSig0<<30 );
+    doubleZSig0 = zSig0<<1;
+    mul64To128( zSig0, zSig0, &term0, &term1 );
+    sub128( aSig0, aSig1, term0, term1, &rem0, &rem1 );
+    while ( (sbits64) rem0 < 0 ) {
+        --zSig0;
+        doubleZSig0 -= 2;
+        add128( rem0, rem1, zSig0>>63, doubleZSig0 | 1, &rem0, &rem1 );
+    }
+    zSig1 = estimateDiv128To64( rem1, 0, doubleZSig0 );
+    if ( ( zSig1 & 0x1FFF ) <= 5 ) {
+        if ( zSig1 == 0 ) zSig1 = 1;
+        mul64To128( doubleZSig0, zSig1, &term1, &term2 );
+        sub128( rem1, 0, term1, term2, &rem1, &rem2 );
+        mul64To128( zSig1, zSig1, &term2, &term3 );
+        sub192( rem1, rem2, 0, 0, term2, term3, &rem1, &rem2, &rem3 );
+        while ( (sbits64) rem1 < 0 ) {
+            --zSig1;
+            shortShift128Left( 0, zSig1, 1, &term2, &term3 );
+            term3 |= 1;
+            term2 |= doubleZSig0;
+            add192( rem1, rem2, rem3, 0, term2, term3, &rem1, &rem2, &rem3 );
+        }
+        zSig1 |= ( ( rem1 | rem2 | rem3 ) != 0 );
+    }
+    shift128ExtraRightJamming( zSig0, zSig1, 0, 14, &zSig0, &zSig1, &zSig2 );
+    return roundAndPackFloat128( 0, zExp, zSig0, zSig1, zSig2 STATUS_VAR );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is equal to
+| the corresponding value `b', and 0 otherwise.  The comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float128_eq( float128 a, float128 b STATUS_PARAM )
+{
+
+    if (    (    ( extractFloat128Exp( a ) == 0x7FFF )
+              && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) )
+         || (    ( extractFloat128Exp( b ) == 0x7FFF )
+              && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) )
+       ) {
+        if (    float128_is_signaling_nan( a )
+             || float128_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    return
+           ( a.low == b.low )
+        && (    ( a.high == b.high )
+             || (    ( a.low == 0 )
+                  && ( (bits64) ( ( a.high | b.high )<<1 ) == 0 ) )
+           );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is less than
+| or equal to the corresponding value `b', and 0 otherwise.  The comparison
+| is performed according to the IEC/IEEE Standard for Binary Floating-Point
+| Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float128_le( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloat128Exp( a ) == 0x7FFF )
+              && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) )
+         || (    ( extractFloat128Exp( b ) == 0x7FFF )
+              && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloat128Sign( a );
+    bSign = extractFloat128Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            || (    ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 == 0 );
+    }
+    return
+          aSign ? le128( b.high, b.low, a.high, a.low )
+        : le128( a.high, a.low, b.high, b.low );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is less than
+| the corresponding value `b', and 0 otherwise.  The comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float128_lt( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloat128Exp( a ) == 0x7FFF )
+              && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) )
+         || (    ( extractFloat128Exp( b ) == 0x7FFF )
+              && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    aSign = extractFloat128Sign( a );
+    bSign = extractFloat128Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            && (    ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 != 0 );
+    }
+    return
+          aSign ? lt128( b.high, b.low, a.high, a.low )
+        : lt128( a.high, a.low, b.high, b.low );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is equal to
+| the corresponding value `b', and 0 otherwise.  The invalid exception is
+| raised if either operand is a NaN.  Otherwise, the comparison is performed
+| according to the IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float128_eq_signaling( float128 a, float128 b STATUS_PARAM )
+{
+
+    if (    (    ( extractFloat128Exp( a ) == 0x7FFF )
+              && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) )
+         || (    ( extractFloat128Exp( b ) == 0x7FFF )
+              && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) )
+       ) {
+        float_raise( float_flag_invalid STATUS_VAR);
+        return 0;
+    }
+    return
+           ( a.low == b.low )
+        && (    ( a.high == b.high )
+             || (    ( a.low == 0 )
+                  && ( (bits64) ( ( a.high | b.high )<<1 ) == 0 ) )
+           );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is less than
+| or equal to the corresponding value `b', and 0 otherwise.  Quiet NaNs do not
+| cause an exception.  Otherwise, the comparison is performed according to the
+| IEC/IEEE Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float128_le_quiet( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloat128Exp( a ) == 0x7FFF )
+              && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) )
+         || (    ( extractFloat128Exp( b ) == 0x7FFF )
+              && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) )
+       ) {
+        if (    float128_is_signaling_nan( a )
+             || float128_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloat128Sign( a );
+    bSign = extractFloat128Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            || (    ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 == 0 );
+    }
+    return
+          aSign ? le128( b.high, b.low, a.high, a.low )
+        : le128( a.high, a.low, b.high, b.low );
+
+}
+
+/*----------------------------------------------------------------------------
+| Returns 1 if the quadruple-precision floating-point value `a' is less than
+| the corresponding value `b', and 0 otherwise.  Quiet NaNs do not cause an
+| exception.  Otherwise, the comparison is performed according to the IEC/IEEE
+| Standard for Binary Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+flag float128_lt_quiet( float128 a, float128 b STATUS_PARAM )
+{
+    flag aSign, bSign;
+
+    if (    (    ( extractFloat128Exp( a ) == 0x7FFF )
+              && ( extractFloat128Frac0( a ) | extractFloat128Frac1( a ) ) )
+         || (    ( extractFloat128Exp( b ) == 0x7FFF )
+              && ( extractFloat128Frac0( b ) | extractFloat128Frac1( b ) ) )
+       ) {
+        if (    float128_is_signaling_nan( a )
+             || float128_is_signaling_nan( b ) ) {
+            float_raise( float_flag_invalid STATUS_VAR);
+        }
+        return 0;
+    }
+    aSign = extractFloat128Sign( a );
+    bSign = extractFloat128Sign( b );
+    if ( aSign != bSign ) {
+        return
+               aSign
+            && (    ( ( (bits64) ( ( a.high | b.high )<<1 ) ) | a.low | b.low )
+                 != 0 );
+    }
+    return
+          aSign ? lt128( b.high, b.low, a.high, a.low )
+        : lt128( a.high, a.low, b.high, b.low );
+
+}
+
+#endif
+
diff --git a/fpu/softfloat.h b/fpu/softfloat.h
new file mode 100644
index 0000000..9aefbf7
--- /dev/null
+++ b/fpu/softfloat.h
@@ -0,0 +1,329 @@
+/*============================================================================
+
+This C header file is part of the SoftFloat IEC/IEEE Floating-point Arithmetic
+Package, Release 2b.
+
+Written by John R. Hauser.  This work was made possible in part by the
+International Computer Science Institute, located at Suite 600, 1947 Center
+Street, Berkeley, California 94704.  Funding was partially provided by the
+National Science Foundation under grant MIP-9311980.  The original version
+of this code was written as part of a project to build a fixed-point vector
+processor in collaboration with the University of California at Berkeley,
+overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
+is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
+arithmetic/SoftFloat.html'.
+
+THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort has
+been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
+RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
+AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
+COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
+EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
+INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
+OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
+
+Derivative works are acceptable, even for commercial purposes, so long as
+(1) the source code for the derivative work includes prominent notice that
+the work is derivative, and (2) the source code includes prominent notice with
+these four paragraphs for those parts of this code that are retained.
+
+=============================================================================*/
+
+#ifndef SOFTFLOAT_H
+#define SOFTFLOAT_H
+
+#include <inttypes.h>
+#include "config.h"
+
+/*----------------------------------------------------------------------------
+| Each of the following `typedef's defines the most convenient type that holds
+| integers of at least as many bits as specified.  For example, `uint8' should
+| be the most convenient type that can hold unsigned integers of as many as
+| 8 bits.  The `flag' type must be able to hold either a 0 or 1.  For most
+| implementations of C, `flag', `uint8', and `int8' should all be `typedef'ed
+| to the same as `int'.
+*----------------------------------------------------------------------------*/
+typedef char flag;
+typedef uint8_t uint8;
+typedef int8_t int8;
+typedef int uint16;
+typedef int int16;
+typedef unsigned int uint32;
+typedef signed int int32;
+typedef uint64_t uint64;
+typedef int64_t int64;
+
+/*----------------------------------------------------------------------------
+| Each of the following `typedef's defines a type that holds integers
+| of _exactly_ the number of bits specified.  For instance, for most
+| implementation of C, `bits16' and `sbits16' should be `typedef'ed to
+| `unsigned short int' and `signed short int' (or `short int'), respectively.
+*----------------------------------------------------------------------------*/
+typedef uint8_t bits8;
+typedef int8_t sbits8;
+typedef uint16_t bits16;
+typedef int16_t sbits16;
+typedef uint32_t bits32;
+typedef int32_t sbits32;
+typedef uint64_t bits64;
+typedef int64_t sbits64;
+
+#define LIT64( a ) a##LL
+#define INLINE static inline
+
+/*----------------------------------------------------------------------------
+| The macro `FLOATX80' must be defined to enable the extended double-precision
+| floating-point format `floatx80'.  If this macro is not defined, the
+| `floatx80' type will not be defined, and none of the functions that either
+| input or output the `floatx80' type will be defined.  The same applies to
+| the `FLOAT128' macro and the quadruple-precision format `float128'.
+*----------------------------------------------------------------------------*/
+#ifdef CONFIG_SOFTFLOAT
+/* bit exact soft float support */
+#define FLOATX80
+#define FLOAT128
+#else
+/* native float support */
+#if (defined(__i386__) || defined(__x86_64__)) && !defined(_BSD)
+#define FLOATX80
+#endif
+#endif /* !CONFIG_SOFTFLOAT */
+
+#define STATUS_PARAM , float_status *status
+#define STATUS(field) status->field
+#define STATUS_VAR , status
+
+#ifdef CONFIG_SOFTFLOAT
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE floating-point types.
+*----------------------------------------------------------------------------*/
+typedef uint32_t float32;
+typedef uint64_t float64;
+#ifdef FLOATX80
+typedef struct {
+    uint64_t low;
+    uint16_t high;
+} floatx80;
+#endif
+#ifdef FLOAT128
+typedef struct {
+#ifdef WORDS_BIGENDIAN
+    uint64_t high, low;
+#else
+    uint64_t low, high;
+#endif
+} float128;
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE floating-point underflow tininess-detection mode.
+*----------------------------------------------------------------------------*/
+enum {
+    float_tininess_after_rounding  = 0,
+    float_tininess_before_rounding = 1
+};
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE floating-point rounding mode.
+*----------------------------------------------------------------------------*/
+enum {
+    float_round_nearest_even = 0,
+    float_round_down         = 1,
+    float_round_up           = 2,
+    float_round_to_zero      = 3
+};
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE floating-point exception flags.
+*----------------------------------------------------------------------------*/
+enum {
+    float_flag_invalid   =  1,
+    float_flag_divbyzero =  4,
+    float_flag_overflow  =  8,
+    float_flag_underflow = 16,
+    float_flag_inexact   = 32
+};
+
+typedef struct float_status {
+    signed char float_detect_tininess;
+    signed char float_rounding_mode;
+    signed char float_exception_flags;
+#ifdef FLOATX80
+    signed char floatx80_rounding_precision;
+#endif
+} float_status;
+
+void set_float_rounding_mode(int val STATUS_PARAM);
+#ifdef FLOATX80
+void set_floatx80_rounding_precision(int val STATUS_PARAM);
+#endif
+
+/*----------------------------------------------------------------------------
+| Routine to raise any or all of the software IEC/IEEE floating-point
+| exception flags.
+*----------------------------------------------------------------------------*/
+void float_raise( signed char STATUS_PARAM);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE integer-to-floating-point conversion routines.
+*----------------------------------------------------------------------------*/
+float32 int32_to_float32( int STATUS_PARAM );
+float64 int32_to_float64( int STATUS_PARAM );
+#ifdef FLOATX80
+floatx80 int32_to_floatx80( int STATUS_PARAM );
+#endif
+#ifdef FLOAT128
+float128 int32_to_float128( int STATUS_PARAM );
+#endif
+float32 int64_to_float32( int64_t STATUS_PARAM );
+float64 int64_to_float64( int64_t STATUS_PARAM );
+#ifdef FLOATX80
+floatx80 int64_to_floatx80( int64_t STATUS_PARAM );
+#endif
+#ifdef FLOAT128
+float128 int64_to_float128( int64_t STATUS_PARAM );
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int float32_to_int32( float32 STATUS_PARAM );
+int float32_to_int32_round_to_zero( float32 STATUS_PARAM );
+int64_t float32_to_int64( float32 STATUS_PARAM );
+int64_t float32_to_int64_round_to_zero( float32 STATUS_PARAM );
+float64 float32_to_float64( float32 STATUS_PARAM );
+#ifdef FLOATX80
+floatx80 float32_to_floatx80( float32 STATUS_PARAM );
+#endif
+#ifdef FLOAT128
+float128 float32_to_float128( float32 STATUS_PARAM );
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision operations.
+*----------------------------------------------------------------------------*/
+float32 float32_round_to_int( float32 STATUS_PARAM );
+float32 float32_add( float32, float32 STATUS_PARAM );
+float32 float32_sub( float32, float32 STATUS_PARAM );
+float32 float32_mul( float32, float32 STATUS_PARAM );
+float32 float32_div( float32, float32 STATUS_PARAM );
+float32 float32_rem( float32, float32 STATUS_PARAM );
+float32 float32_sqrt( float32 STATUS_PARAM );
+char float32_eq( float32, float32 STATUS_PARAM );
+char float32_le( float32, float32 STATUS_PARAM );
+char float32_lt( float32, float32 STATUS_PARAM );
+char float32_eq_signaling( float32, float32 STATUS_PARAM );
+char float32_le_quiet( float32, float32 STATUS_PARAM );
+char float32_lt_quiet( float32, float32 STATUS_PARAM );
+char float32_is_signaling_nan( float32 );
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int float64_to_int32( float64 STATUS_PARAM );
+int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
+int64_t float64_to_int64( float64 STATUS_PARAM );
+int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
+float32 float64_to_float32( float64 STATUS_PARAM );
+#ifdef FLOATX80
+floatx80 float64_to_floatx80( float64 STATUS_PARAM );
+#endif
+#ifdef FLOAT128
+float128 float64_to_float128( float64 STATUS_PARAM );
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision operations.
+*----------------------------------------------------------------------------*/
+float64 float64_round_to_int( float64 STATUS_PARAM );
+float64 float64_add( float64, float64 STATUS_PARAM );
+float64 float64_sub( float64, float64 STATUS_PARAM );
+float64 float64_mul( float64, float64 STATUS_PARAM );
+float64 float64_div( float64, float64 STATUS_PARAM );
+float64 float64_rem( float64, float64 STATUS_PARAM );
+float64 float64_sqrt( float64 STATUS_PARAM );
+char float64_eq( float64, float64 STATUS_PARAM );
+char float64_le( float64, float64 STATUS_PARAM );
+char float64_lt( float64, float64 STATUS_PARAM );
+char float64_eq_signaling( float64, float64 STATUS_PARAM );
+char float64_le_quiet( float64, float64 STATUS_PARAM );
+char float64_lt_quiet( float64, float64 STATUS_PARAM );
+char float64_is_signaling_nan( float64 );
+
+#ifdef FLOATX80
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int floatx80_to_int32( floatx80 STATUS_PARAM );
+int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
+int64_t floatx80_to_int64( floatx80 STATUS_PARAM );
+int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM );
+float32 floatx80_to_float32( floatx80 STATUS_PARAM );
+float64 floatx80_to_float64( floatx80 STATUS_PARAM );
+#ifdef FLOAT128
+float128 floatx80_to_float128( floatx80 STATUS_PARAM );
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision operations.
+*----------------------------------------------------------------------------*/
+floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
+floatx80 floatx80_add( floatx80, floatx80 STATUS_PARAM );
+floatx80 floatx80_sub( floatx80, floatx80 STATUS_PARAM );
+floatx80 floatx80_mul( floatx80, floatx80 STATUS_PARAM );
+floatx80 floatx80_div( floatx80, floatx80 STATUS_PARAM );
+floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
+floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
+char floatx80_eq( floatx80, floatx80 STATUS_PARAM );
+char floatx80_le( floatx80, floatx80 STATUS_PARAM );
+char floatx80_lt( floatx80, floatx80 STATUS_PARAM );
+char floatx80_eq_signaling( floatx80, floatx80 STATUS_PARAM );
+char floatx80_le_quiet( floatx80, floatx80 STATUS_PARAM );
+char floatx80_lt_quiet( floatx80, floatx80 STATUS_PARAM );
+char floatx80_is_signaling_nan( floatx80 );
+
+#endif
+
+#ifdef FLOAT128
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE quadruple-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int float128_to_int32( float128 STATUS_PARAM );
+int float128_to_int32_round_to_zero( float128 STATUS_PARAM );
+int64_t float128_to_int64( float128 STATUS_PARAM );
+int64_t float128_to_int64_round_to_zero( float128 STATUS_PARAM );
+float32 float128_to_float32( float128 STATUS_PARAM );
+float64 float128_to_float64( float128 STATUS_PARAM );
+#ifdef FLOATX80
+floatx80 float128_to_floatx80( float128 STATUS_PARAM );
+#endif
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE quadruple-precision operations.
+*----------------------------------------------------------------------------*/
+float128 float128_round_to_int( float128 STATUS_PARAM );
+float128 float128_add( float128, float128 STATUS_PARAM );
+float128 float128_sub( float128, float128 STATUS_PARAM );
+float128 float128_mul( float128, float128 STATUS_PARAM );
+float128 float128_div( float128, float128 STATUS_PARAM );
+float128 float128_rem( float128, float128 STATUS_PARAM );
+float128 float128_sqrt( float128 STATUS_PARAM );
+char float128_eq( float128, float128 STATUS_PARAM );
+char float128_le( float128, float128 STATUS_PARAM );
+char float128_lt( float128, float128 STATUS_PARAM );
+char float128_eq_signaling( float128, float128 STATUS_PARAM );
+char float128_le_quiet( float128, float128 STATUS_PARAM );
+char float128_lt_quiet( float128, float128 STATUS_PARAM );
+char float128_is_signaling_nan( float128 );
+
+#endif
+
+#else /* CONFIG_SOFTFLOAT */
+
+#include "softfloat-native.h"
+
+#endif /* !CONFIG_SOFTFLOAT */
+
+#endif /* !SOFTFLOAT_H */