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2023-06-09 14:24:46 +02:00

199 lines
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C
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//-- "Integer Compression: max.bits, delta, zigzag, xor" -----------------------------------------------------------------------
//---------- max. bit length + transform for sorted/unsorted arrays, delta,delta 1, delta > 1, zigzag, zigzag of delta, xor, FOR,----------------
#ifdef __cplusplus
extern "C" {
#endif
//------ ORed array, used to determine the maximum bit length of the elements in an unsorted integer array ---------------------
uint8_t bit8( uint8_t *in, unsigned n, uint8_t *px);
uint16_t bit16( uint16_t *in, unsigned n, uint16_t *px);
uint32_t bit32( uint32_t *in, unsigned n, uint32_t *px);
uint64_t bit64( uint64_t *in, unsigned n, uint64_t *px);
uint32_t bit256v32(uint32_t *in, unsigned n, uint32_t *px);
//-------------- delta = 0: Sorted integer array w/ mindelta = 0 ----------------------------------------------
//-- ORed array, maximum bit length of the non decreasing integer array. out[i] = in[i] - in[i-1]
uint8_t bitd8( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitd16( uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitd32( uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitd64( uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
uint32_t bitd256v32(uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
//-- in-place reverse delta 0
void bitddec8( uint8_t *p, unsigned n, uint8_t start); // non decreasing (out[i] = in[i] - in[i-1])
void bitddec16( uint16_t *p, unsigned n, uint16_t start);
void bitddec32( uint32_t *p, unsigned n, uint32_t start);
void bitddec64( uint64_t *p, unsigned n, uint64_t start);
//-- vectorized fast delta4 one: out[0] = in[4]-in[0], out[1]=in[5]-in[1], out[2]=in[6]-in[2], out[3]=in[7]-in[3],...
uint16_t bits128v16( uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bits128v32( uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
//------------- delta = 1: Sorted integer array w/ mindelta = 1 ---------------------------------------------
//-- get delta maximum bit length of the non strictly decreasing integer array. out[i] = in[i] - in[i-1] - 1
uint8_t bitd18( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitd116(uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitd132(uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitd164(uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
uint32_t bitd1256v32(uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
//-- in-place reverse delta one
void bitd1dec8( uint8_t *p, unsigned n, uint8_t start); // non strictly decreasing (out[i] = in[i] - in[i-1] - 1)
void bitd1dec16( uint16_t *p, unsigned n, uint16_t start);
void bitd1dec32( uint32_t *p, unsigned n, uint32_t start);
void bitd1dec64( uint64_t *p, unsigned n, uint64_t start);
//------------- delta > 1: Sorted integer array w/ mindelta > 1 ---------------------------------------------
//-- ORed array, for max. bit length get min. delta ()
uint8_t bitdi8( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitdi16( uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitdi32( uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitdi64( uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
//-- transform sorted integer array to delta array: out[i] = in[i] - in[i-1] - mindelta
uint8_t bitdienc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t mindelta);
uint16_t bitdienc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t mindelta);
uint32_t bitdienc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, uint32_t mindelta);
uint64_t bitdienc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t mindelta);
//-- in-place reverse delta
void bitdidec8( uint8_t *in, unsigned n, uint8_t start, uint8_t mindelta);
void bitdidec16(uint16_t *in, unsigned n, uint16_t start, uint16_t mindelta);
void bitdidec32(uint32_t *in, unsigned n, uint32_t start, uint32_t mindelta);
void bitdidec64(uint64_t *in, unsigned n, uint64_t start, uint64_t mindelta);
//------------- FOR : array bit length: ---------------------------------------------------------------------
//------ ORed array, for max. bit length of the non decreasing integer array. out[i] = in[i] - start
uint8_t bitf8( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitf16(uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitf32(uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitf64(uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
//------ ORed array, for max. bit length of the non strictly decreasing integer array out[i] = in[i] - 1 - start
uint8_t bitf18( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitf116(uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitf132(uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitf164(uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
//------ ORed array, for max. bit length for usorted array
uint8_t bitfm8( uint8_t *in, unsigned n, uint8_t *px, uint8_t *pmin); // unsorted
uint16_t bitfm16(uint16_t *in, unsigned n, uint16_t *px, uint16_t *pmin);
uint32_t bitfm32(uint32_t *in, unsigned n, uint32_t *px, uint32_t *pmin);
uint64_t bitfm64(uint64_t *in, unsigned n, uint64_t *px, uint64_t *pmin);
//------------- Zigzag encoding for unsorted integer lists: out[i] = in[i] - in[i-1] ------------------------
//-- ORed array, to get maximum zigzag bit length integer array
uint8_t bitz8( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitz16( uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitz32( uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitz64( uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
uint32_t bitz256v32(uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
//-- Zigzag transform
uint8_t bitzenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t mindelta);
uint16_t bitzenc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t mindelta);
uint32_t bitzenc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, uint32_t mindelta);
uint64_t bitzenc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t mindelta);
//-- in-place zigzag reverse transform
void bitzdec8( uint8_t *in, unsigned n, uint8_t start);
void bitzdec16( uint16_t *in, unsigned n, uint16_t start);
void bitzdec32( uint32_t *in, unsigned n, uint32_t start);
void bitzdec64( uint64_t *in, unsigned n, uint64_t start);
//------------- Zigzag of zigzag/delta : unsorted/sorted integer array ----------------------------------------------------
//-- get delta maximum bit length of the non strictly decreasing integer array. out[i] = in[i] - in[i-1] - 1
uint8_t bitzz8( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitzz16( uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitzz32( uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitzz64( uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
uint8_t bitzzenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start, uint8_t mindelta);
uint16_t bitzzenc16(uint16_t *in, unsigned n, uint16_t *out, uint16_t start, uint16_t mindelta);
uint32_t bitzzenc32(uint32_t *in, unsigned n, uint32_t *out, uint32_t start, uint32_t mindelta);
uint64_t bitzzenc64(uint64_t *in, unsigned n, uint64_t *out, uint64_t start, uint64_t mindelta);
//-- in-place reverse zigzag of delta (encoded w/ bitdiencNN and parameter mindelta = 1)
void bitzzdec8( uint8_t *in, unsigned n, uint8_t start); // non strictly decreasing (out[i] = in[i] - in[i-1] - 1)
void bitzzdec16( uint16_t *in, unsigned n, uint16_t start);
void bitzzdec32( uint32_t *in, unsigned n, uint32_t start);
void bitzzdec64( uint64_t *in, unsigned n, uint64_t start);
//------------- XOR encoding for unsorted integer lists: out[i] = in[i] - in[i-1] -------------
//-- ORed array, to get maximum zigzag bit length integer array
uint8_t bitx8( uint8_t *in, unsigned n, uint8_t *px, uint8_t start);
uint16_t bitx16( uint16_t *in, unsigned n, uint16_t *px, uint16_t start);
uint32_t bitx32( uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
uint64_t bitx64( uint64_t *in, unsigned n, uint64_t *px, uint64_t start);
uint32_t bitx256v32(uint32_t *in, unsigned n, uint32_t *px, uint32_t start);
//-- XOR transform
uint8_t bitxenc8( uint8_t *in, unsigned n, uint8_t *out, uint8_t start);
uint16_t bitxenc16( uint16_t *in, unsigned n, uint16_t *out, uint16_t start);
uint32_t bitxenc32( uint32_t *in, unsigned n, uint32_t *out, uint32_t start);
uint64_t bitxenc64( uint64_t *in, unsigned n, uint64_t *out, uint64_t start);
//-- XOR in-place reverse transform
void bitxdec8( uint8_t *p, unsigned n, uint8_t start);
void bitxdec16( uint16_t *p, unsigned n, uint16_t start);
void bitxdec32( uint32_t *p, unsigned n, uint32_t start);
void bitxdec64( uint64_t *p, unsigned n, uint64_t start);
//--------------------------------------------------------------------
void bitxenc(unsigned char *in, unsigned n, unsigned char *out, unsigned esize);
void bitxdec(unsigned char *in, unsigned n, unsigned esize);
void bitzenc(unsigned char *in, unsigned n, unsigned char *out, unsigned esize);
void bitzdec(unsigned char *in, unsigned n, unsigned esize);
//------- Floating point ----------------------------------------
#define FLOAT2INT(fval, scalse, bias) round(fval * scale + bias)
#define INT2FLOAT(ival, scalse, bias) ((ival - bias) / scale)
#if defined(__clang__) && defined(__is_identifier)
#if !__is_identifier(_Float16)
#undef FLT16_BUILTIN
#endif
#elif defined(FLT16_MAX)
#define FLT16_BUILTIN
#endif
//------- Quantization : b number of bits quantized in out ----------------
#if defined(FLT16_BUILTIN)
void fpquant8e16( _Float16 *in, size_t n, uint8_t *out, unsigned b, _Float16 *pfmin, _Float16 *pfmax);
void fpquant16e16(_Float16 *in, size_t n, uint16_t *out, unsigned b, _Float16 *pfmin, _Float16 *pfmax);
#endif
void fpquant8e32( float *in, size_t n, uint8_t *out, unsigned b, float *pfmin, float *pfmax);
void fpquant16e32( float *in, size_t n, uint16_t *out, unsigned b, float *pfmin, float *pfmax);
void fpquant32e32( float *in, size_t n, uint32_t *out, unsigned b, float *pfmin, float *pfmax);
void fpquant8e64( double *in, size_t n, uint8_t *out, unsigned b, double *pfmin, double *pfmax);
void fpquant16e64( double *in, size_t n, uint16_t *out, unsigned b, double *pfmin, double *pfmax);
void fpquant32e64( double *in, size_t n, uint32_t *out, unsigned b, double *pfmin, double *pfmax);
void fpquant64e64( double *in, size_t n, uint64_t *out, unsigned b, double *pfmin, double *pfmax);
#if defined(FLT16_BUILTIN)
void fpquant8d16( uint8_t *in, size_t n, _Float16 *out, unsigned b, _Float16 fmin, _Float16 fmax);
void fpquant16d16(uint16_t *in, size_t n, _Float16 *out, unsigned b, _Float16 fmin, _Float16 fmax);
#endif
void fpquant8d32( uint8_t *in, size_t n, float *out, unsigned b, float fmin, float fmax);
void fpquant16d32(uint16_t *in, size_t n, float *out, unsigned b, float fmin, float fmax);
void fpquant32d32(uint32_t *in, size_t n, float *out, unsigned b, float fmin, float fmax);
void fpquant8d64( uint8_t *in, size_t n, double *out, unsigned b, double fmin, double fmax);
void fpquant16d64(uint16_t *in, size_t n, double *out, unsigned b, double fmin, double fmax);
void fpquant32d64(uint32_t *in, size_t n, double *out, unsigned b, double fmin, double fmax);
void fpquant64d64(uint64_t *in, size_t n, double *out, unsigned b, double fmin, double fmax);
//------- Lossy floating point transform: pad the trailing mantissa bits with zeros according to the error e (ex. e=0.00001)
// must include float.h to use _Float16 (see icapp.c)
#ifdef FLT16_BUILTIN
_Float16 _fprazor16(_Float16 d, float e, int lg2e);
void fprazor16(_Float16 *in, unsigned n, _Float16 *out, float e);
#endif
float _fprazor32(float d, float e, int lg2e);
double _fprazor64(double d, double e, int lg2e);
void fprazor32( float *in, unsigned n, float *out, float e);
void fprazor64(double *in, unsigned n, double *out, double e);
#ifdef __cplusplus
}
#endif