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-/**CFile****************************************************************
-
- FileName [xsatFloat.h]
-
- SystemName [ABC: Logic synthesis and verification system.]
-
- PackageName [xSAT - A SAT solver written in C.
- Read the license file for more info.]
-
- Synopsis [Floating point number implementation.]
-
- Author [Alan Mishchenko, Bruno Schmitt]
-
- Affiliation [UC Berkeley / UFRGS]
-
- Date [Ver. 1.0. Started - January 28, 2017.]
-
- Revision []
-
-***********************************************************************/
-#ifndef ABC__sat__xSAT__xsatFloat_h
-#define ABC__sat__xSAT__xsatFloat_h
-
-#include "misc/util/abc_global.h"
-
-ABC_NAMESPACE_HEADER_START
-
-////////////////////////////////////////////////////////////////////////
-/// STRUCTURE DEFINITIONS ///
-////////////////////////////////////////////////////////////////////////
-
-/*
- The xFloat_t floating-point number is represented as a 32-bit unsigned int.
- The number is (2^Exp)*Mnt, where Exp is a 16-bit exponent and Mnt is a
- 16-bit mantissa. The decimal point is located between the MSB of Mnt,
- which is always 1, and the remaining 15 digits of Mnt.
-
- Currently, only positive numbers are represented.
-
- The range of possible values is [1.0; 2^(2^16-1)*1.111111111111111]
- that is, the smallest possible number is 1.0 and the largest possible
- number is 2^(---16 ones---).(1.---15 ones---)
-
- Comparison of numbers can be done by comparing the underlying unsigned ints.
-
- Only addition, multiplication, and division by 2^n are currently implemented.
-*/
-
-typedef struct xFloat_t_ xFloat_t;
-struct xFloat_t_
-{
- unsigned Mnt : 16;
- unsigned Exp : 16;
-};
-
-static inline unsigned xSat_Float2Uint( xFloat_t f ) { union { xFloat_t f; unsigned u; } temp; temp.f = f; return temp.u; }
-static inline xFloat_t xSat_Uint2Float( unsigned u ) { union { xFloat_t f; unsigned u; } temp; temp.u = u; return temp.f; }
-static inline int xSat_LessThan( xFloat_t a, xFloat_t b ) { return a.Exp < b.Exp || (a.Exp == b.Exp && a.Mnt < b.Mnt); }
-static inline int xSat_Equal( xFloat_t a, xFloat_t b ) { return a.Exp == b.Exp && a.Mnt == b.Mnt; }
-
-static inline xFloat_t xSat_FloatCreate( unsigned Exp, unsigned Mnt ) { xFloat_t res; res.Exp = Exp; res.Mnt = Mnt; return res; }
-
-static inline xFloat_t xSat_FloatCreateConst1() { return xSat_FloatCreate( 0, 1 << 15 ); }
-static inline xFloat_t xSat_FloatCreateConst2() { return xSat_FloatCreate( 1, 1 << 15 ); }
-static inline xFloat_t xSat_FloatCreateConst3() { return xSat_FloatCreate( 1, 3 << 14 ); }
-static inline xFloat_t xSat_FloatCreateConst12() { return xSat_FloatCreate( 3, 3 << 14 ); }
-static inline xFloat_t xSat_FloatCreateConst1point5() { return xSat_FloatCreate( 0, 3 << 14 ); }
-static inline xFloat_t xSat_FloatCreateConst2point5() { return xSat_FloatCreate( 1, 5 << 13 ); }
-static inline xFloat_t xSat_FloatCreateMaximum() { return xSat_Uint2Float( 0xFFFFFFFF ); }
-
-static inline float xSat_Float2Float( xFloat_t a ) { assert(a.Exp < 127); return Abc_Int2Float(((a.Exp + 127) << 23) | ((a.Mnt & 0x7FFF) << 8)); }
-static inline xFloat_t xSat_FloatFromFloat( float a ) { int A = Abc_Float2Int(a); assert(a >= 1.0); return xSat_FloatCreate((A >> 23)-127, 0x8000 | ((A >> 8) & 0x7FFF)); }
-
-////////////////////////////////////////////////////////////////////////
-/// FUNCTION DEFINITIONS ///
-////////////////////////////////////////////////////////////////////////
-
-/**Function*************************************************************
-
- Synopsis [Adding two floating-point numbers.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-static inline xFloat_t xSat_FloatAdd( xFloat_t a, xFloat_t b )
-{
- unsigned Exp, Mnt;
- if ( a.Exp < b.Exp )
- return xSat_FloatAdd(b, a);
- assert( a.Exp >= b.Exp );
- // compute new mantissa
- Mnt = a.Mnt + (b.Mnt >> (a.Exp - b.Exp));
- // compute new exponent
- Exp = a.Exp;
- // update exponent and mantissa if new MSB is created
- if ( Mnt & 0xFFFF0000 ) // new MSB bit is created
- Exp++, Mnt >>= 1;
- // check overflow
- if ( Exp & 0xFFFF0000 ) // overflow
- return xSat_Uint2Float( 0xFFFFFFFF );
- assert( (Exp & 0xFFFF0000) == 0 );
- assert( (Mnt & 0xFFFF0000) == 0 );
- assert( Mnt & 0x00008000 );
- return xSat_FloatCreate( Exp, Mnt );
-}
-
-/**Function*************************************************************
-
- Synopsis [Multiplying two floating-point numbers.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-static inline xFloat_t xSat_FloatMul( xFloat_t a, xFloat_t b )
-{
- unsigned Exp, Mnt;
- if ( a.Exp < b.Exp )
- return xSat_FloatMul(b, a);
- assert( a.Exp >= b.Exp );
- // compute new mantissa
- Mnt = (a.Mnt * b.Mnt) >> 15;
- // compute new exponent
- Exp = a.Exp + b.Exp;
- // update exponent and mantissa if new MSB is created
- if ( Mnt & 0xFFFF0000 ) // new MSB bit is created
- Exp++, Mnt >>= 1;
- // check overflow
- if ( Exp & 0xFFFF0000 ) // overflow
- return xSat_Uint2Float( 0xFFFFFFFF );
- assert( (Exp & 0xFFFF0000) == 0 );
- assert( (Mnt & 0xFFFF0000) == 0 );
- assert( Mnt & 0x00008000 );
- return xSat_FloatCreate( Exp, Mnt );
-}
-
-/**Function*************************************************************
-
- Synopsis [Dividing floating point number by a degree of 2.]
-
- Description []
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-static inline xFloat_t xSat_FloatDiv( xFloat_t a, unsigned Deg2 )
-{
- assert( Deg2 < 0xFFFF );
- if ( a.Exp >= Deg2 )
- return xSat_FloatCreate( a.Exp - Deg2, a.Mnt );
- return xSat_FloatCreateConst1(); // underflow
-}
-
-/**Function*************************************************************
-
- Synopsis [Testing procedure.]
-
- Description [Helpful link https://www.h-schmidt.net/FloatConverter/IEEE754.html]
-
- SideEffects []
-
- SeeAlso []
-
-***********************************************************************/
-static inline void xSat_FloatTest()
-{
- xFloat_t c1 = xSat_FloatCreateConst1();
- xFloat_t c2 = xSat_FloatCreateConst2();
- xFloat_t c3 = xSat_FloatCreateConst3();
- xFloat_t c12 = xSat_FloatCreateConst12();
- xFloat_t c1p5 = xSat_FloatCreateConst1point5();
- xFloat_t c2p5 = xSat_FloatCreateConst2point5();
-
- xFloat_t c1_ = xSat_FloatFromFloat(1.0);
- xFloat_t c2_ = xSat_FloatFromFloat(2.0);
- xFloat_t c3_ = xSat_FloatFromFloat(3.0);
- xFloat_t c12_ = xSat_FloatFromFloat(12.0);
- xFloat_t c1p5_ = xSat_FloatFromFloat(1.5);
- xFloat_t c2p5_ = xSat_FloatFromFloat(2.5);
-
- xFloat_t sum1 = xSat_FloatAdd(c1, c1p5);
- xFloat_t mul1 = xSat_FloatMul(c2, c1p5);
-
- xFloat_t sum2 = xSat_FloatAdd(c1p5, c2p5);
- xFloat_t mul2 = xSat_FloatMul(c1p5, c2p5);
-
-// float f1 = xSat_Float2Float(c1);
-// Extra_PrintBinary( stdout, (int *)&c1, 32 ); printf( "\n" );
-// Extra_PrintBinary( stdout, (int *)&f1, 32 ); printf( "\n" );
-
- printf( "1 = %f\n", xSat_Float2Float(c1) );
- printf( "2 = %f\n", xSat_Float2Float(c2) );
- printf( "3 = %f\n", xSat_Float2Float(c3) );
- printf( "12 = %f\n", xSat_Float2Float(c12) );
- printf( "1.5 = %f\n", xSat_Float2Float(c1p5) );
- printf( "2.5 = %f\n", xSat_Float2Float(c2p5) );
-
- printf( "Converted 1 = %f\n", xSat_Float2Float(c1_) );
- printf( "Converted 2 = %f\n", xSat_Float2Float(c2_) );
- printf( "Converted 3 = %f\n", xSat_Float2Float(c3_) );
- printf( "Converted 12 = %f\n", xSat_Float2Float(c12_) );
- printf( "Converted 1.5 = %f\n", xSat_Float2Float(c1p5_) );
- printf( "Converted 2.5 = %f\n", xSat_Float2Float(c2p5_) );
-
- printf( "1.0 + 1.5 = %f\n", xSat_Float2Float(sum1) );
- printf( "2.0 * 1.5 = %f\n", xSat_Float2Float(mul1) );
-
- printf( "1.5 + 2.5 = %f\n", xSat_Float2Float(sum2) );
- printf( "1.5 * 2.5 = %f\n", xSat_Float2Float(mul2) );
- printf( "12 / 2^2 = %f\n", xSat_Float2Float(xSat_FloatDiv(c12, 2)) );
-
- assert( xSat_Equal(sum1, c2p5) );
- assert( xSat_Equal(mul1, c3) );
-}
-
-ABC_NAMESPACE_HEADER_END
-
-#endif
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