[segyio] 223/376: Faster float conversions

Jørgen Kvalsvik jokva-guest at moszumanska.debian.org
Wed Sep 20 08:04:36 UTC 2017


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jokva-guest pushed a commit to branch debian
in repository segyio.

commit 1eeaf85b78da05c945fb04367b8b6561cb0fafec
Author: Jørgen Kvalsvik <jokva at statoil.com>
Date:   Thu Mar 2 10:14:32 2017 +0100

    Faster float conversions
    
    Changes significant aspects of float conversions (segy_to/from_native):
    * The algorithm itself has been simplified. I suspect this leads to
      better optimisation opportunities, because it's a lot faster all other
      things being equal.
    * Conversion is now done in-place always, instead of a hybrid to/from
      range-oriented interface.
    * The actual conversion is moved into new static inline functions,
      which seem to guide the compiler to create better (maybe even
      vectorised) code when converting large arrays of floats.
    * host <-> network byte order is done *before* any float conversion,
      meaning there are fewer instruction dependencies at the cost of
      traversing the array twice. This also makes each loop step simpler and
      it seems to optimise slightly better.
---
 lib/src/segy.c | 166 +++++++++++++++++++++++----------------------------------
 1 file changed, 66 insertions(+), 100 deletions(-)

diff --git a/lib/src/segy.c b/lib/src/segy.c
index 5b82640..7fe5292 100644
--- a/lib/src/segy.c
+++ b/lib/src/segy.c
@@ -77,92 +77,63 @@ void ascii2ebcdic( const char* ascii, char* ebcdic ) {
     *ebcdic = '\0';
 }
 
-void ibm2ieee( void* to, const void* from ) {
-    uint32_t fr;      /* fraction */
-    int exp;          /* exponent */
-    uint32_t sgn;     /* sign */
-
-    memcpy( &fr, from, sizeof( uint32_t ) );
-    /* split into sign, exponent, and fraction */
-    fr = ntohl( fr ); /* pick up value */
-    sgn = fr >> 31; /* save sign */
-    fr <<= 1; /* shift sign out */
-    exp = fr >> 25; /* save exponent */
-    fr <<= 7; /* shift exponent out */
-
-    if (fr == 0) { /* short-circuit for zero */
-        exp = 0;
-        goto done;
-    }
+#define IEEEMAX 0x7FFFFFFF
+#define IEMAXIB 0x611FFFFF
+#define IEMINIB 0x21200000
+
+static inline void ibm_native( void* buf ) {
+    static int it[8] = { 0x21800000, 0x21400000, 0x21000000, 0x21000000,
+                         0x20c00000, 0x20c00000, 0x20c00000, 0x20c00000 };
+    static int mt[8] = { 8, 4, 2, 2, 1, 1, 1, 1 };
+    unsigned int manthi, iexp, inabs;
+    int ix;
+    uint32_t u;
 
-    /* adjust exponent from base 16 offset 64 radix point before first digit
-     * to base 2 offset 127 radix point after first digit
-     * (exp - 64) * 4 + 127 - 1 == exp * 4 - 256 + 126 == (exp << 2) - 130 */
-    exp = (exp << 2) - 130;
+    memcpy( &u, buf, sizeof( u ) );
+
+    manthi = u & 0x00ffffff;
+    ix     = manthi >> 21;
+    iexp   = ( ( u & 0x7f000000 ) - it[ix] ) << 1;
+    manthi = manthi * mt[ix] + iexp;
+    inabs  = u & 0x7fffffff;
+    if ( inabs > IEMAXIB ) manthi = IEEEMAX;
+    manthi = manthi | ( u & 0x80000000 );
+    u = ( inabs < IEMINIB ) ? 0 : manthi;
+    memcpy( buf, &u, sizeof( u ) );
+}
 
-    /* (re)normalize */
-    while (fr < 0x80000000) { /* 3 times max for normalized input */
-        --exp;
-        fr <<= 1;
-    }
+static inline void native_ibm( void* buf ) {
+    static int it[4] = { 0x21200000, 0x21400000, 0x21800000, 0x22100000 };
+    static int mt[4] = { 2, 4, 8, 1 };
+    unsigned int manthi, iexp, ix;
+    uint32_t u;
 
-    if (exp <= 0) { /* underflow */
-        if (exp < -24) /* complete underflow - return properly signed zero */
-            fr = 0;
-        else /* partial underflow - return denormalized number */
-            fr >>= -exp;
-        exp = 0;
-    } else if (exp >= 255) { /* overflow - return infinity */
-        fr = 0;
-        exp = 255;
-    } else { /* just a plain old number - remove the assumed high bit */
-        fr <<= 1;
-    }
+    memcpy( &u, buf, sizeof( u ) );
+
+    ix     = ( u & 0x01800000 ) >> 23;
+    iexp   = ( ( u & 0x7e000000 ) >> 1 ) + it[ix];
+    manthi = ( mt[ix] * ( u & 0x007fffff) ) >> 3;
+    manthi = ( manthi + iexp ) | ( u & 0x80000000 );
+    u      = ( u & 0x7fffffff ) ? manthi : 0;
+    memcpy( buf, &u, sizeof( u ) );
+}
+
+void ibm2ieee( void* to, const void* from ) {
+    uint32_t u;
+    memcpy( &u, from, sizeof( u ) );
+    u = ntohl( u );
 
-done:
-    /* put the pieces back together and return it */
-    fr = (fr >> 9) | (exp << 23) | (sgn << 31);
-    memcpy( to, &fr, sizeof( uint32_t ) );
+    ibm_native( &u );
+    memcpy( to, &u, sizeof( u ) );
 }
 
 void ieee2ibm( void* to, const void* from ) {
-    uint32_t fr;      /* fraction */
-    int exp;          /* exponent */
-    uint32_t sgn;     /* sign */
-
-    /* split into sign, exponent, and fraction */
-    memcpy( &fr, from, sizeof( uint32_t ) ); /* pick up value */
-    sgn = fr >> 31; /* save sign */
-    fr <<= 1; /* shift sign out */
-    exp = fr >> 24; /* save exponent */
-    fr <<= 8; /* shift exponent out */
-
-    if (exp == 255) { /* infinity (or NAN) - map to largest */
-        fr = 0xffffff00;
-        exp = 0x7f;
-        goto done;
-    }
-    else if (exp > 0) /* add assumed digit */
-        fr = (fr >> 1) | 0x80000000;
-    else if (fr == 0) /* short-circuit for zero */
-        goto done;
-
-    /* adjust exponent from base 2 offset 127 radix point after first digit
-     * to base 16 offset 64 radix point before first digit */
-    exp += 130;
-    fr >>= -exp & 3;
-    exp = (exp + 3) >> 2;
-
-    /* (re)normalize */
-    while (fr < 0x10000000) { /* never executed for normalized input */
-        --exp;
-        fr <<= 4;
-    }
+    uint32_t u;
+    memcpy( &u, from, sizeof( u ) );
 
-done:
-    /* put the pieces back together and return it */
-    fr = htonl( (fr >> 8) | (exp << 24) | (sgn << 31) );
-    memcpy( to, &fr, sizeof( uint32_t ) );
+    native_ibm( &u );
+    u = htonl( u );
+    memcpy( to, &u, sizeof( u ) );
 }
 
 /* Lookup table for field sizes. All values not explicitly set are 0 */
@@ -1340,18 +1311,15 @@ int segy_to_native( int format,
     assert( sizeof( float ) == sizeof( uint32_t ) );
 
     uint32_t u;
-    if( format == SEGY_IEEE_FLOAT_4_BYTE ) {
-        while( size-- ) {
-            memcpy( &u, buf, sizeof( float ) );
-            u = ntohl( u );
-            memcpy( buf++, &u, sizeof( float ) );
-        }
+    for( long long i = 0; i < size; ++i ) {
+        memcpy( &u, buf + i, sizeof( uint32_t ) );
+        u = ntohl( u );
+        memcpy( buf + i, &u, sizeof( uint32_t ) );
     }
-    else {
-        while( size-- ) {
-            ibm2ieee( &u, buf );
-            memcpy( buf++, &u, sizeof( float ) );
-        }
+
+    if( format == SEGY_IBM_FLOAT_4_BYTE ) {
+        for( long long i = 0; i < size; ++i )
+            ibm_native( buf + i );
     }
 
     return SEGY_OK;
@@ -1364,18 +1332,16 @@ int segy_from_native( int format,
     assert( sizeof( float ) == sizeof( uint32_t ) );
 
     uint32_t u;
-    if( format == SEGY_IEEE_FLOAT_4_BYTE ) {
-        while( size-- ) {
-            memcpy( &u, buf, sizeof( float ) );
-            u = htonl( u );
-            memcpy( buf++, &u, sizeof( float ) );
-        }
+
+    if( format == SEGY_IBM_FLOAT_4_BYTE ) {
+        for( long long i = 0; i < size; ++i )
+            native_ibm( buf + i );
     }
-    else {
-        while( size-- ) {
-            ieee2ibm( &u, buf );
-            memcpy( buf++, &u, sizeof( float ) );
-        }
+
+    for( long long i = 0; i < size; ++i ) {
+        memcpy( &u, buf + i, sizeof( uint32_t ) );
+        u = htonl( u );
+        memcpy( buf + i, &u, sizeof( uint32_t ) );
     }
 
     return SEGY_OK;

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