[qemu.git] / fpu / softfloat-specialize.h


/*============================================================================

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.
*----------------------------------------------------------------------------*/

int 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.
*----------------------------------------------------------------------------*/

int 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.
*----------------------------------------------------------------------------*/

int 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.
*----------------------------------------------------------------------------*/

int 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.
*----------------------------------------------------------------------------*/

int 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.
*----------------------------------------------------------------------------*/

int 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.
*----------------------------------------------------------------------------*/

int 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.
*----------------------------------------------------------------------------*/

int 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
Commit	Line	Data
158142c2 FB	1
	2	/*============================================================================
	3
	4	This C source fragment is part of the SoftFloat IEC/IEEE Floating-point
	5	Arithmetic Package, Release 2b.
	6
	7	Written by John R. Hauser. This work was made possible in part by the
	8	International Computer Science Institute, located at Suite 600, 1947 Center
	9	Street, Berkeley, California 94704. Funding was partially provided by the
	10	National Science Foundation under grant MIP-9311980. The original version
	11	of this code was written as part of a project to build a fixed-point vector
	12	processor in collaboration with the University of California at Berkeley,
	13	overseen by Profs. Nelson Morgan and John Wawrzynek. More information
	14	is available through the Web page `http://www.cs.berkeley.edu/~jhauser/
	15	arithmetic/SoftFloat.html'.
	16
	17	THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort has
	18	been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT TIMES
	19	RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO PERSONS
	20	AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ALL LOSSES,
	21	COSTS, OR OTHER PROBLEMS THEY INCUR DUE TO THE SOFTWARE, AND WHO FURTHERMORE
	22	EFFECTIVELY INDEMNIFY JOHN HAUSER AND THE INTERNATIONAL COMPUTER SCIENCE
	23	INSTITUTE (possibly via similar legal warning) AGAINST ALL LOSSES, COSTS, OR
	24	OTHER PROBLEMS INCURRED BY THEIR CUSTOMERS AND CLIENTS DUE TO THE SOFTWARE.
	25
	26	Derivative works are acceptable, even for commercial purposes, so long as
	27	(1) the source code for the derivative work includes prominent notice that
	28	the work is derivative, and (2) the source code includes prominent notice with
	29	these four paragraphs for those parts of this code that are retained.
	30
	31	=============================================================================*/
	32
	33	/*----------------------------------------------------------------------------
	34	\| Underflow tininess-detection mode, statically initialized to default value.
	35	\| (The declaration in `softfloat.h' must match the `int8' type here.)
	36	----------------------------------------------------------------------------/
	37	int8 float_detect_tininess = float_tininess_after_rounding;
	38
	39	/*----------------------------------------------------------------------------
	40	\| Raises the exceptions specified by `flags'. Floating-point traps can be
	41	\| defined here if desired. It is currently not possible for such a trap
	42	\| to substitute a result value. If traps are not implemented, this routine
	43	\| should be simply `float_exception_flags \|= flags;'.
	44	----------------------------------------------------------------------------/
	45
	46	void float_raise( int8 flags STATUS_PARAM )
	47	{
	48
	49	STATUS(float_exception_flags) \|= flags;
	50
	51	}
	52
	53	/*----------------------------------------------------------------------------
	54	\| Internal canonical NaN format.
	55	----------------------------------------------------------------------------/
	56	typedef struct {
	57	flag sign;
	58	bits64 high, low;
	59	} commonNaNT;
	60
	61	/*----------------------------------------------------------------------------
	62	\| The pattern for a default generated single-precision NaN.
	63	----------------------------------------------------------------------------/
	64	#define float32_default_nan 0xFFC00000
65
66	/*----------------------------------------------------------------------------
67	\| Returns 1 if the single-precision floating-point value `a' is a NaN;
68	\| otherwise returns 0.
69	----------------------------------------------------------------------------/
70
750afe93	71	int float32_is_nan( float32 a )
158142c2 FB	72	{
	73
	74	return ( 0xFF000000 < (bits32) ( a<<1 ) );
	75
	76	}
	77
	78	/*----------------------------------------------------------------------------
	79	\| Returns 1 if the single-precision floating-point value `a' is a signaling
	80	\| NaN; otherwise returns 0.
	81	----------------------------------------------------------------------------/
	82
750afe93	83	int float32_is_signaling_nan( float32 a )
158142c2 FB	84	{
	85
	86	return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF );
	87
	88	}
	89
	90	/*----------------------------------------------------------------------------
	91	\| Returns the result of converting the single-precision floating-point NaN
	92	\| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
	93	\| exception is raised.
	94	----------------------------------------------------------------------------/
	95
	96	static commonNaNT float32ToCommonNaN( float32 a STATUS_PARAM )
	97	{
	98	commonNaNT z;
	99
	100	if ( float32_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR );
	101	z.sign = a>>31;
	102	z.low = 0;
	103	z.high = ( (bits64) a )<<41;
	104	return z;
	105
	106	}
	107
	108	/*----------------------------------------------------------------------------
	109	\| Returns the result of converting the canonical NaN `a' to the single-
	110	\| precision floating-point format.
	111	----------------------------------------------------------------------------/
	112
	113	static float32 commonNaNToFloat32( commonNaNT a )
	114	{
	115
	116	return ( ( (bits32) a.sign )<<31 ) \| 0x7FC00000 \| ( a.high>>41 );
	117
	118	}
	119
	120	/*----------------------------------------------------------------------------
	121	\| Takes two single-precision floating-point values `a' and `b', one of which
	122	\| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
	123	\| signaling NaN, the invalid exception is raised.
	124	----------------------------------------------------------------------------/
	125
	126	static float32 propagateFloat32NaN( float32 a, float32 b STATUS_PARAM)
	127	{
	128	flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
	129
	130	aIsNaN = float32_is_nan( a );
	131	aIsSignalingNaN = float32_is_signaling_nan( a );
	132	bIsNaN = float32_is_nan( b );
	133	bIsSignalingNaN = float32_is_signaling_nan( b );
	134	a \|= 0x00400000;
	135	b \|= 0x00400000;
	136	if ( aIsSignalingNaN \| bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
	137	if ( aIsSignalingNaN ) {
	138	if ( bIsSignalingNaN ) goto returnLargerSignificand;
	139	return bIsNaN ? b : a;
	140	}
	141	else if ( aIsNaN ) {
	142	if ( bIsSignalingNaN \| ! bIsNaN ) return a;
	143	returnLargerSignificand:
	144	if ( (bits32) ( a<<1 ) < (bits32) ( b<<1 ) ) return b;
	145	if ( (bits32) ( b<<1 ) < (bits32) ( a<<1 ) ) return a;
	146	return ( a < b ) ? a : b;
	147	}
148	else {
149	return b;
150	}
151
152	}
153
154	/*----------------------------------------------------------------------------
155	\| The pattern for a default generated double-precision NaN.
156	----------------------------------------------------------------------------/
157	#define float64_default_nan LIT64( 0xFFF8000000000000 )
158
159	/*----------------------------------------------------------------------------
160	\| Returns 1 if the double-precision floating-point value `a' is a NaN;
161	\| otherwise returns 0.
162	----------------------------------------------------------------------------/
163
750afe93	164	int float64_is_nan( float64 a )
158142c2 FB	165	{
	166
	167	return ( LIT64( 0xFFE0000000000000 ) < (bits64) ( a<<1 ) );
	168
	169	}
	170
	171	/*----------------------------------------------------------------------------
	172	\| Returns 1 if the double-precision floating-point value `a' is a signaling
	173	\| NaN; otherwise returns 0.
	174	----------------------------------------------------------------------------/
	175
750afe93	176	int float64_is_signaling_nan( float64 a )
158142c2 FB	177	{
	178
	179	return
	180	( ( ( a>>51 ) & 0xFFF ) == 0xFFE )
	181	&& ( a & LIT64( 0x0007FFFFFFFFFFFF ) );
	182
	183	}
	184
	185	/*----------------------------------------------------------------------------
	186	\| Returns the result of converting the double-precision floating-point NaN
	187	\| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
	188	\| exception is raised.
	189	----------------------------------------------------------------------------/
	190
	191	static commonNaNT float64ToCommonNaN( float64 a STATUS_PARAM)
	192	{
	193	commonNaNT z;
	194
	195	if ( float64_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
	196	z.sign = a>>63;
	197	z.low = 0;
	198	z.high = a<<12;
	199	return z;
	200
	201	}
	202
	203	/*----------------------------------------------------------------------------
	204	\| Returns the result of converting the canonical NaN `a' to the double-
	205	\| precision floating-point format.
	206	----------------------------------------------------------------------------/
	207
	208	static float64 commonNaNToFloat64( commonNaNT a )
	209	{
	210
	211	return
	212	( ( (bits64) a.sign )<<63 )
	213	\| LIT64( 0x7FF8000000000000 )
	214	\| ( a.high>>12 );
	215
	216	}
	217
	218	/*----------------------------------------------------------------------------
	219	\| Takes two double-precision floating-point values `a' and `b', one of which
	220	\| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a
	221	\| signaling NaN, the invalid exception is raised.
	222	----------------------------------------------------------------------------/
	223
	224	static float64 propagateFloat64NaN( float64 a, float64 b STATUS_PARAM)
	225	{
	226	flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
	227
	228	aIsNaN = float64_is_nan( a );
	229	aIsSignalingNaN = float64_is_signaling_nan( a );
	230	bIsNaN = float64_is_nan( b );
	231	bIsSignalingNaN = float64_is_signaling_nan( b );
	232	a \|= LIT64( 0x0008000000000000 );
	233	b \|= LIT64( 0x0008000000000000 );
	234	if ( aIsSignalingNaN \| bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
	235	if ( aIsSignalingNaN ) {
	236	if ( bIsSignalingNaN ) goto returnLargerSignificand;
	237	return bIsNaN ? b : a;
	238	}
	239	else if ( aIsNaN ) {
	240	if ( bIsSignalingNaN \| ! bIsNaN ) return a;
241	returnLargerSignificand:
242	if ( (bits64) ( a<<1 ) < (bits64) ( b<<1 ) ) return b;
243	if ( (bits64) ( b<<1 ) < (bits64) ( a<<1 ) ) return a;
244	return ( a < b ) ? a : b;
245	}
246	else {
247	return b;
248	}
249
250	}
251
252	#ifdef FLOATX80
253
254	/*----------------------------------------------------------------------------
255	\| The pattern for a default generated extended double-precision NaN. The
256	\| `high' and `low' values hold the most- and least-significant bits,
257	\| respectively.
258	----------------------------------------------------------------------------/
259	#define floatx80_default_nan_high 0xFFFF
260	#define floatx80_default_nan_low LIT64( 0xC000000000000000 )
261
262	/*----------------------------------------------------------------------------
263	\| Returns 1 if the extended double-precision floating-point value `a' is a
264	\| NaN; otherwise returns 0.
265	----------------------------------------------------------------------------/
266
750afe93	267	int floatx80_is_nan( floatx80 a )
158142c2 FB	268	{
	269
	270	return ( ( a.high & 0x7FFF ) == 0x7FFF ) && (bits64) ( a.low<<1 );
	271
	272	}
	273
	274	/*----------------------------------------------------------------------------
	275	\| Returns 1 if the extended double-precision floating-point value `a' is a
	276	\| signaling NaN; otherwise returns 0.
	277	----------------------------------------------------------------------------/
	278
750afe93	279	int floatx80_is_signaling_nan( floatx80 a )
158142c2 FB	280	{
	281	bits64 aLow;
	282
	283	aLow = a.low & ~ LIT64( 0x4000000000000000 );
	284	return
	285	( ( a.high & 0x7FFF ) == 0x7FFF )
	286	&& (bits64) ( aLow<<1 )
	287	&& ( a.low == aLow );
	288
	289	}
	290
	291	/*----------------------------------------------------------------------------
	292	\| Returns the result of converting the extended double-precision floating-
	293	\| point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the
	294	\| invalid exception is raised.
	295	----------------------------------------------------------------------------/
	296
	297	static commonNaNT floatx80ToCommonNaN( floatx80 a STATUS_PARAM)
	298	{
	299	commonNaNT z;
	300
	301	if ( floatx80_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
	302	z.sign = a.high>>15;
	303	z.low = 0;
	304	z.high = a.low<<1;
	305	return z;
	306
	307	}
	308
	309	/*----------------------------------------------------------------------------
	310	\| Returns the result of converting the canonical NaN `a' to the extended
	311	\| double-precision floating-point format.
	312	----------------------------------------------------------------------------/
	313
	314	static floatx80 commonNaNToFloatx80( commonNaNT a )
	315	{
	316	floatx80 z;
	317
	318	z.low = LIT64( 0xC000000000000000 ) \| ( a.high>>1 );
	319	z.high = ( ( (bits16) a.sign )<<15 ) \| 0x7FFF;
	320	return z;
	321
	322	}
	323
	324	/*----------------------------------------------------------------------------
	325	\| Takes two extended double-precision floating-point values `a' and `b', one
	326	\| of which is a NaN, and returns the appropriate NaN result. If either `a' or
	327	\| `b' is a signaling NaN, the invalid exception is raised.
	328	----------------------------------------------------------------------------/
	329
	330	static floatx80 propagateFloatx80NaN( floatx80 a, floatx80 b STATUS_PARAM)
	331	{
	332	flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
	333
	334	aIsNaN = floatx80_is_nan( a );
	335	aIsSignalingNaN = floatx80_is_signaling_nan( a );
	336	bIsNaN = floatx80_is_nan( b );
	337	bIsSignalingNaN = floatx80_is_signaling_nan( b );
	338	a.low \|= LIT64( 0xC000000000000000 );
	339	b.low \|= LIT64( 0xC000000000000000 );
	340	if ( aIsSignalingNaN \| bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
	341	if ( aIsSignalingNaN ) {
	342	if ( bIsSignalingNaN ) goto returnLargerSignificand;
	343	return bIsNaN ? b : a;
344	}
345	else if ( aIsNaN ) {
346	if ( bIsSignalingNaN \| ! bIsNaN ) return a;
347	returnLargerSignificand:
348	if ( a.low < b.low ) return b;
349	if ( b.low < a.low ) return a;
350	return ( a.high < b.high ) ? a : b;
351	}
352	else {
353	return b;
354	}
355
356	}
357
358	#endif
359
360	#ifdef FLOAT128
361
362	/*----------------------------------------------------------------------------
363	\| The pattern for a default generated quadruple-precision NaN. The `high' and
364	\| `low' values hold the most- and least-significant bits, respectively.
365	----------------------------------------------------------------------------/
366	#define float128_default_nan_high LIT64( 0xFFFF800000000000 )
367	#define float128_default_nan_low LIT64( 0x0000000000000000 )
368
369	/*----------------------------------------------------------------------------
370	\| Returns 1 if the quadruple-precision floating-point value `a' is a NaN;
371	\| otherwise returns 0.
372	----------------------------------------------------------------------------/
373
750afe93	374	int float128_is_nan( float128 a )
158142c2 FB	375	{
	376
	377	return
	378	( LIT64( 0xFFFE000000000000 ) <= (bits64) ( a.high<<1 ) )
	379	&& ( a.low \|\| ( a.high & LIT64( 0x0000FFFFFFFFFFFF ) ) );
	380
	381	}
	382
	383	/*----------------------------------------------------------------------------
	384	\| Returns 1 if the quadruple-precision floating-point value `a' is a
	385	\| signaling NaN; otherwise returns 0.
	386	----------------------------------------------------------------------------/
	387
750afe93	388	int float128_is_signaling_nan( float128 a )
158142c2 FB	389	{
	390
	391	return
	392	( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE )
	393	&& ( a.low \|\| ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) );
	394
	395	}
	396
	397	/*----------------------------------------------------------------------------
	398	\| Returns the result of converting the quadruple-precision floating-point NaN
	399	\| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid
	400	\| exception is raised.
	401	----------------------------------------------------------------------------/
	402
	403	static commonNaNT float128ToCommonNaN( float128 a STATUS_PARAM)
	404	{
	405	commonNaNT z;
	406
	407	if ( float128_is_signaling_nan( a ) ) float_raise( float_flag_invalid STATUS_VAR);
	408	z.sign = a.high>>63;
	409	shortShift128Left( a.high, a.low, 16, &z.high, &z.low );
	410	return z;
	411
	412	}
	413
	414	/*----------------------------------------------------------------------------
	415	\| Returns the result of converting the canonical NaN `a' to the quadruple-
	416	\| precision floating-point format.
	417	----------------------------------------------------------------------------/
	418
	419	static float128 commonNaNToFloat128( commonNaNT a )
	420	{
	421	float128 z;
	422
	423	shift128Right( a.high, a.low, 16, &z.high, &z.low );
	424	z.high \|= ( ( (bits64) a.sign )<<63 ) \| LIT64( 0x7FFF800000000000 );
	425	return z;
	426
	427	}
	428
	429	/*----------------------------------------------------------------------------
	430	\| Takes two quadruple-precision floating-point values `a' and `b', one of
	431	\| which is a NaN, and returns the appropriate NaN result. If either `a' or
	432	\| `b' is a signaling NaN, the invalid exception is raised.
	433	----------------------------------------------------------------------------/
	434
	435	static float128 propagateFloat128NaN( float128 a, float128 b STATUS_PARAM)
	436	{
	437	flag aIsNaN, aIsSignalingNaN, bIsNaN, bIsSignalingNaN;
	438
	439	aIsNaN = float128_is_nan( a );
	440	aIsSignalingNaN = float128_is_signaling_nan( a );
	441	bIsNaN = float128_is_nan( b );
	442	bIsSignalingNaN = float128_is_signaling_nan( b );
	443	a.high \|= LIT64( 0x0000800000000000 );
	444	b.high \|= LIT64( 0x0000800000000000 );
	445	if ( aIsSignalingNaN \| bIsSignalingNaN ) float_raise( float_flag_invalid STATUS_VAR);
	446	if ( aIsSignalingNaN ) {
	447	if ( bIsSignalingNaN ) goto returnLargerSignificand;
	448	return bIsNaN ? b : a;
	449	}
	450	else if ( aIsNaN ) {
	451	if ( bIsSignalingNaN \| ! bIsNaN ) return a;
	452	returnLargerSignificand:
453	if ( lt128( a.high<<1, a.low, b.high<<1, b.low ) ) return b;
454	if ( lt128( b.high<<1, b.low, a.high<<1, a.low ) ) return a;
455	return ( a.high < b.high ) ? a : b;
456	}
457	else {
458	return b;
459	}
460
461	}
462
463	#endif
464