mathops.h

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/*
 * simple math operations
 * Copyright (c) 2001, 2002 Fabrice Bellard
 * Copyright (c) 2006 Michael Niedermayer <michaelni@gmx.at> et al
 *
 * This file is part of FFmpeg.
 *
 * FFmpeg is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * FFmpeg is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with FFmpeg; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
 */
#ifndef AVCODEC_MATHOPS_H
#define AVCODEC_MATHOPS_H
 
#include <stdint.h>
 
#include "libavutil/attributes_internal.h"
#include "libavutil/common.h"
#include "config.h"
 
#define MAX_NEG_CROP 1024
 
extern const uint32_t ff_inverse[257];
extern const uint8_t ff_log2_run[41];
EXTERN const uint32_t ff_square_tab[512];
extern const uint8_t ff_sqrt_tab[256];
EXTERN const uint8_t ff_crop_tab[256 + 2 * MAX_NEG_CROP];
extern const uint8_t ff_zigzag_direct[64];
extern const uint8_t ff_zigzag_scan[16+1];
 
#if   ARCH_ARM
#   include "arm/mathops.h"
#elif ARCH_MIPS
#   include "mips/mathops.h"
#elif ARCH_PPC
#   include "ppc/mathops.h"
#elif ARCH_RISCV
#   include "riscv/mathops.h"
#elif ARCH_X86
#   include "x86/mathops.h"
#endif
 
/* generic implementation */
 
#ifndef MUL64
#   define MUL64(a,b) ((int64_t)(a) * (int64_t)(b))
#endif
 
#ifndef MULL
#   define MULL(a,b,s) (MUL64(a, b) >> (s))
#endif
 
#ifndef MULH
static av_always_inline int MULH(int a, int b){
    return MUL64(a, b) >> 32;
}
#endif
 
#ifndef UMULH
static av_always_inline unsigned UMULH(unsigned a, unsigned b){
    return ((uint64_t)(a) * (uint64_t)(b))>>32;
}
#endif
 
#ifndef MAC64
#   define MAC64(d, a, b) ((d) += MUL64(a, b))
#endif
 
#ifndef MLS64
#   define MLS64(d, a, b) ((d) -= MUL64(a, b))
#endif
 
/* signed 16x16 -> 32 multiply add accumulate */
#ifndef MAC16
#   define MAC16(rt, ra, rb) rt += (ra) * (rb)
#endif
 
/* signed 16x16 -> 32 multiply */
#ifndef MUL16
#   define MUL16(ra, rb) ((ra) * (rb))
#endif
 
#ifndef MLS16
#   define MLS16(rt, ra, rb) ((rt) -= (ra) * (rb))
#endif
 
/* median of 3 */
static inline av_const int median3_c(int a, int b, int c)
{
    int max2, min2, m;
 
    if (a >= b) {
        max2 = a;
        min2 = b;
    } else {
        max2 = b;
        min2 = a;
    }
    m = (c >= max2) ? max2 : c;
 
    return (m >= min2) ? m : min2;
}
 
#ifndef mid_pred
#define mid_pred median3_c
#endif
 
#ifndef median4
#define median4 median4
static inline av_const int median4(int a, int b, int c, int d)
{
    if (a < b) {
        if (c < d) return (FFMIN(b, d) + FFMAX(a, c)) / 2;
        else       return (FFMIN(b, c) + FFMAX(a, d)) / 2;
    } else {
        if (c < d) return (FFMIN(a, d) + FFMAX(b, c)) / 2;
        else       return (FFMIN(a, c) + FFMAX(b, d)) / 2;
    }
}
#endif
 
#define FF_SIGNBIT(x) ((x) >> CHAR_BIT * sizeof(x) - 1)
 
#ifndef sign_extend
static inline av_const int sign_extend(int val, unsigned bits)
{
    unsigned shift = 8 * sizeof(int) - bits;
    union { unsigned u; int s; } v = { (unsigned) val << shift };
    return v.s >> shift;
}
#endif
 
#ifndef sign_extend64
static inline av_const int64_t sign_extend64(int64_t val, unsigned bits)
{
    unsigned shift = 8 * sizeof(int64_t) - bits;
    union { uint64_t u; int64_t s; } v = { (uint64_t) val << shift };
    return v.s >> shift;
}
#endif
 
#ifndef zero_extend
static inline av_const unsigned zero_extend(unsigned val, unsigned bits)
{
    return (val << ((8 * sizeof(int)) - bits)) >> ((8 * sizeof(int)) - bits);
}
#endif
 
#ifndef COPY3_IF_LT
#define COPY3_IF_LT(x, y, a, b, c, d)\
if ((y) < (x)) {\
    (x) = (y);\
    (a) = (b);\
    (c) = (d);\
}
#endif
 
#ifndef MASK_ABS
#define MASK_ABS(mask, level) do {              \
        mask  = level >> 31;                    \
        level = (level ^ mask) - mask;          \
    } while (0)
#endif
 
#ifndef NEG_SSR32
#   define NEG_SSR32(a,s) ((( int32_t)(a))>>(32-(s)))
#endif
 
#ifndef NEG_USR32
#   define NEG_USR32(a,s) (((uint32_t)(a))>>(32-(s)))
#endif
 
#if HAVE_BIGENDIAN
# ifndef PACK_2U8
#   define PACK_2U8(a,b)     (((a) <<  8) | (b))
# endif
# ifndef PACK_4U8
#   define PACK_4U8(a,b,c,d) (((a) << 24) | ((b) << 16) | ((c) << 8) | (d))
# endif
# ifndef PACK_2U16
#   define PACK_2U16(a,b)    (((a) << 16) | (b))
# endif
#else
# ifndef PACK_2U8
#   define PACK_2U8(a,b)     (((b) <<  8) | (a))
# endif
# ifndef PACK_4U2
#   define PACK_4U8(a,b,c,d) (((d) << 24) | ((c) << 16) | ((b) << 8) | (a))
# endif
# ifndef PACK_2U16
#   define PACK_2U16(a,b)    (((b) << 16) | (a))
# endif
#endif
 
#ifndef PACK_2S8
#   define PACK_2S8(a,b)     PACK_2U8((a)&255, (b)&255)
#endif
#ifndef PACK_4S8
#   define PACK_4S8(a,b,c,d) PACK_4U8((a)&255, (b)&255, (c)&255, (d)&255)
#endif
#ifndef PACK_2S16
#   define PACK_2S16(a,b)    PACK_2U16((a)&0xffff, (b)&0xffff)
#endif
 
#ifndef FASTDIV
#   define FASTDIV(a,b) ((uint32_t)((((uint64_t)a) * ff_inverse[b]) >> 32))
#endif /* FASTDIV */
 
#ifndef ff_sqrt
#define ff_sqrt ff_sqrt
static inline av_const unsigned int ff_sqrt(unsigned int a)
{
    unsigned int b;
 
    if (a < 255) return (ff_sqrt_tab[a + 1] - 1) >> 4;
    else if (a < (1 << 12)) b = ff_sqrt_tab[a >> 4] >> 2;
#if !CONFIG_SMALL
    else if (a < (1 << 14)) b = ff_sqrt_tab[a >> 6] >> 1;
    else if (a < (1 << 16)) b = ff_sqrt_tab[a >> 8]   ;
#endif
    else {
        int s = av_log2_16bit(a >> 16) >> 1;
        unsigned int c = a >> (s + 2);
        b = ff_sqrt_tab[c >> (s + 8)];
        b = FASTDIV(c,b) + (b << s);
    }
 
    return b - (a < b * b);
}
#endif
 
static inline av_const float ff_sqrf(float a)
{
    return a*a;
}
 
static inline int8_t ff_u8_to_s8(uint8_t a)
{
    union {
        uint8_t u8;
        int8_t  s8;
    } b;
    b.u8 = a;
    return b.s8;
}
 
#endif /* AVCODEC_MATHOPS_H */