vpx_dsp/variance.c

/*
 *  Copyright (c) 2010 The WebM project authors. All Rights Reserved.
 *
 *  Use of this source code is governed by a BSD-style license
 *  that can be found in the LICENSE file in the root of the source
 *  tree. An additional intellectual property rights grant can be found
 *  in the file PATENTS.  All contributing project authors may
 *  be found in the AUTHORS file in the root of the source tree.
 */

#include "./vpx_config.h"
#include "./vpx_dsp_rtcd.h"

#include "vpx_ports/mem.h"
#include "vpx/vpx_integer.h"

#include "vpx_dsp/variance.h"

static const uint8_t bilinear_filters[8][2] = {
  { 128,   0  },
  { 112,  16  },
  {  96,  32  },
  {  80,  48  },
  {  64,  64  },
  {  48,  80  },
  {  32,  96  },
  {  16, 112  },
};

uint32_t vpx_get4x4sse_cs_c(const uint8_t *a, int  a_stride,
                            const uint8_t *b, int  b_stride) {
  int distortion = 0;
  int r, c;

  for (r = 0; r < 4; ++r) {
    for (c = 0; c < 4; ++c) {
      int diff = a[c] - b[c];
      distortion += diff * diff;
    }

    a += a_stride;
    b += b_stride;
  }

  return distortion;
}

uint32_t vpx_get_mb_ss_c(const int16_t *a) {
  unsigned int i, sum = 0;

  for (i = 0; i < 256; ++i) {
    sum += a[i] * a[i];
  }

  return sum;
}

uint32_t vpx_variance_halfpixvar16x16_h_c(const uint8_t *a, int a_stride,
                                          const uint8_t *b, int b_stride,
                                          uint32_t *sse) {
  return vpx_sub_pixel_variance16x16_c(a, a_stride, 4, 0,
                                       b, b_stride, sse);
}


uint32_t vpx_variance_halfpixvar16x16_v_c(const uint8_t *a, int a_stride,
                                          const uint8_t *b, int b_stride,
                                          uint32_t *sse) {
  return vpx_sub_pixel_variance16x16_c(a, a_stride, 0, 4,
                                       b, b_stride, sse);
}

uint32_t vpx_variance_halfpixvar16x16_hv_c(const uint8_t *a, int a_stride,
                                           const uint8_t *b, int b_stride,
                                           uint32_t *sse) {
  return vpx_sub_pixel_variance16x16_c(a, a_stride, 4, 4,
                                       b, b_stride, sse);
}

static void variance(const uint8_t *a, int  a_stride,
                     const uint8_t *b, int  b_stride,
                     int  w, int  h, uint32_t *sse, int *sum) {
  int i, j;

  *sum = 0;
  *sse = 0;

  for (i = 0; i < h; ++i) {
    for (j = 0; j < w; ++j) {
      const int diff = a[j] - b[j];
      *sum += diff;
      *sse += diff * diff;
    }

    a += a_stride;
    b += b_stride;
  }
}

// Applies a 1-D 2-tap bilinear filter to the source block in either horizontal
// or vertical direction to produce the filtered output block. Used to implement
// the first-pass of 2-D separable filter.
//
// Produces int16_t output to retain precision for the next pass. Two filter
// taps should sum to FILTER_WEIGHT. pixel_step defines whether the filter is
// applied horizontally (pixel_step = 1) or vertically (pixel_step = stride).
// It defines the offset required to move from one input to the next.
static void var_filter_block2d_bil_first_pass(const uint8_t *a, uint16_t *b,
                                              unsigned int src_pixels_per_line,
                                              int pixel_step,
                                              unsigned int output_height,
                                              unsigned int output_width,
                                              const uint8_t *filter) {
  unsigned int i, j;

  for (i = 0; i < output_height; ++i) {
    for (j = 0; j < output_width; ++j) {
      b[j] = ROUND_POWER_OF_TWO((int)a[0] * filter[0] +
                          (int)a[pixel_step] * filter[1],
                          FILTER_BITS);

      ++a;
    }

    a += src_pixels_per_line - output_width;
    b += output_width;
  }
}

// Applies a 1-D 2-tap bilinear filter to the source block in either horizontal
// or vertical direction to produce the filtered output block. Used to implement
// the second-pass of 2-D separable filter.
//
// Requires 16-bit input as produced by filter_block2d_bil_first_pass. Two
// filter taps should sum to FILTER_WEIGHT. pixel_step defines whether the
// filter is applied horizontally (pixel_step = 1) or vertically
// (pixel_step = stride). It defines the offset required to move from one input
// to the next. Output is 8-bit.
static void var_filter_block2d_bil_second_pass(const uint16_t *a, uint8_t *b,
                                               unsigned int src_pixels_per_line,
                                               unsigned int pixel_step,
                                               unsigned int output_height,
                                               unsigned int output_width,
                                               const uint8_t *filter) {
  unsigned int  i, j;

  for (i = 0; i < output_height; ++i) {
    for (j = 0; j < output_width; ++j) {
      b[j] = ROUND_POWER_OF_TWO((int)a[0] * filter[0] +
                          (int)a[pixel_step] * filter[1],
                          FILTER_BITS);
      ++a;
    }

    a += src_pixels_per_line - output_width;
    b += output_width;
  }
}

#define VAR(W, H) \
uint32_t vpx_variance##W##x##H##_c(const uint8_t *a, int a_stride, \
                                   const uint8_t *b, int b_stride, \
                                   uint32_t *sse) { \
  int sum; \
  variance(a, a_stride, b, b_stride, W, H, sse, &sum); \
  return *sse - (((int64_t)sum * sum) / (W * H)); \
}

#define SUBPIX_VAR(W, H) \
uint32_t vpx_sub_pixel_variance##W##x##H##_c(const uint8_t *a, int a_stride, \
                                             int xoffset, int  yoffset, \
                                             const uint8_t *b, int b_stride, \
                                             uint32_t *sse) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint8_t temp2[H * W]; \
\
  var_filter_block2d_bil_first_pass(a, fdata3, a_stride, 1, H + 1, W, \
                                    bilinear_filters[xoffset]); \
  var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                     bilinear_filters[yoffset]); \
\
  return vpx_variance##W##x##H##_c(temp2, W, b, b_stride, sse); \
}

#define SUBPIX_AVG_VAR(W, H) \
uint32_t vpx_sub_pixel_avg_variance##W##x##H##_c(const uint8_t *a, \
                                                 int  a_stride, \
                                                 int xoffset, int  yoffset, \
                                                 const uint8_t *b, \
                                                 int b_stride, \
                                                 uint32_t *sse, \
                                                 const uint8_t *second_pred) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint8_t temp2[H * W]; \
  DECLARE_ALIGNED(16, uint8_t, temp3[H * W]); \
\
  var_filter_block2d_bil_first_pass(a, fdata3, a_stride, 1, H + 1, W, \
                                    bilinear_filters[xoffset]); \
  var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                     bilinear_filters[yoffset]); \
\
  vpx_comp_avg_pred(temp3, second_pred, W, H, temp2, W); \
\
  return vpx_variance##W##x##H##_c(temp3, W, b, b_stride, sse); \
}

/* Identical to the variance call except it takes an additional parameter, sum,
 * and returns that value using pass-by-reference instead of returning
 * sse - sum^2 / w*h
 */
#define GET_VAR(W, H) \
void vpx_get##W##x##H##var_c(const uint8_t *a, int a_stride, \
                             const uint8_t *b, int b_stride, \
                             uint32_t *sse, int *sum) { \
  variance(a, a_stride, b, b_stride, W, H, sse, sum); \
}

/* Identical to the variance call except it does not calculate the
 * sse - sum^2 / w*h and returns sse in addtion to modifying the passed in
 * variable.
 */
#define MSE(W, H) \
uint32_t vpx_mse##W##x##H##_c(const uint8_t *a, int a_stride, \
                              const uint8_t *b, int b_stride, \
                              uint32_t *sse) { \
  int sum; \
  variance(a, a_stride, b, b_stride, W, H, sse, &sum); \
  return *sse; \
}

/* All three forms of the variance are available in the same sizes. */
#define VARIANCES(W, H) \
    VAR(W, H) \
    SUBPIX_VAR(W, H) \
    SUBPIX_AVG_VAR(W, H)

VARIANCES(64, 64)
VARIANCES(64, 32)
VARIANCES(32, 64)
VARIANCES(32, 32)
VARIANCES(32, 16)
VARIANCES(16, 32)
VARIANCES(16, 16)
VARIANCES(16, 8)
VARIANCES(8, 16)
VARIANCES(8, 8)
VARIANCES(8, 4)
VARIANCES(4, 8)
VARIANCES(4, 4)

GET_VAR(16, 16)
GET_VAR(8, 8)

MSE(16, 16)
MSE(16, 8)
MSE(8, 16)
MSE(8, 8)

void vpx_comp_avg_pred_c(uint8_t *comp_pred, const uint8_t *pred,
                         int width, int height,
                         const uint8_t *ref, int ref_stride) {
  int i, j;

  for (i = 0; i < height; ++i) {
    for (j = 0; j < width; ++j) {
      const int tmp = pred[j] + ref[j];
      comp_pred[j] = ROUND_POWER_OF_TWO(tmp, 1);
    }
    comp_pred += width;
    pred += width;
    ref += ref_stride;
  }
}

#if CONFIG_VP9_HIGHBITDEPTH
static void highbd_variance64(const uint8_t *a8, int  a_stride,
                              const uint8_t *b8, int  b_stride,
                              int w, int h, uint64_t *sse, uint64_t *sum) {
  int i, j;

  uint16_t *a = CONVERT_TO_SHORTPTR(a8);
  uint16_t *b = CONVERT_TO_SHORTPTR(b8);
  *sum = 0;
  *sse = 0;

  for (i = 0; i < h; ++i) {
    for (j = 0; j < w; ++j) {
      const int diff = a[j] - b[j];
      *sum += diff;
      *sse += diff * diff;
    }
    a += a_stride;
    b += b_stride;
  }
}

static void highbd_8_variance(const uint8_t *a8, int  a_stride,
                              const uint8_t *b8, int  b_stride,
                              int w, int h, uint32_t *sse, int *sum) {
  uint64_t sse_long = 0;
  uint64_t sum_long = 0;
  highbd_variance64(a8, a_stride, b8, b_stride, w, h, &sse_long, &sum_long);
  *sse = (uint32_t)sse_long;
  *sum = (int)sum_long;
}

static void highbd_10_variance(const uint8_t *a8, int  a_stride,
                               const uint8_t *b8, int  b_stride,
                               int w, int h, uint32_t *sse, int *sum) {
  uint64_t sse_long = 0;
  uint64_t sum_long = 0;
  highbd_variance64(a8, a_stride, b8, b_stride, w, h, &sse_long, &sum_long);
  *sse = (uint32_t)ROUND_POWER_OF_TWO(sse_long, 4);
  *sum = (int)ROUND_POWER_OF_TWO(sum_long, 2);
}

static void highbd_12_variance(const uint8_t *a8, int  a_stride,
                               const uint8_t *b8, int  b_stride,
                               int w, int h, uint32_t *sse, int *sum) {
  uint64_t sse_long = 0;
  uint64_t sum_long = 0;
  highbd_variance64(a8, a_stride, b8, b_stride, w, h, &sse_long, &sum_long);
  *sse = (uint32_t)ROUND_POWER_OF_TWO(sse_long, 8);
  *sum = (int)ROUND_POWER_OF_TWO(sum_long, 4);
}

#define HIGHBD_VAR(W, H) \
uint32_t vpx_highbd_8_variance##W##x##H##_c(const uint8_t *a, \
                                            int a_stride, \
                                            const uint8_t *b, \
                                            int b_stride, \
                                            uint32_t *sse) { \
  int sum; \
  highbd_8_variance(a, a_stride, b, b_stride, W, H, sse, &sum); \
  return *sse - (((int64_t)sum * sum) / (W * H)); \
} \
\
uint32_t vpx_highbd_10_variance##W##x##H##_c(const uint8_t *a, \
                                             int a_stride, \
                                             const uint8_t *b, \
                                             int b_stride, \
                                             uint32_t *sse) { \
  int sum; \
  highbd_10_variance(a, a_stride, b, b_stride, W, H, sse, &sum); \
  return *sse - (((int64_t)sum * sum) / (W * H)); \
} \
\
uint32_t vpx_highbd_12_variance##W##x##H##_c(const uint8_t *a, \
                                             int a_stride, \
                                             const uint8_t *b, \
                                             int b_stride, \
                                             uint32_t *sse) { \
  int sum; \
  highbd_12_variance(a, a_stride, b, b_stride, W, H, sse, &sum); \
  return *sse - (((int64_t)sum * sum) / (W * H)); \
}

#define HIGHBD_GET_VAR(S) \
void vpx_highbd_8_get##S##x##S##var_c(const uint8_t *src, int src_stride, \
                                      const uint8_t *ref, int ref_stride, \
                                      uint32_t *sse, int *sum) { \
  highbd_8_variance(src, src_stride, ref, ref_stride, S, S, sse, sum); \
} \
\
void vpx_highbd_10_get##S##x##S##var_c(const uint8_t *src, int src_stride, \
                                       const uint8_t *ref, int ref_stride, \
                                       uint32_t *sse, int *sum) { \
  highbd_10_variance(src, src_stride, ref, ref_stride, S, S, sse, sum); \
} \
\
void vpx_highbd_12_get##S##x##S##var_c(const uint8_t *src, int src_stride, \
                                       const uint8_t *ref, int ref_stride, \
                                       uint32_t *sse, int *sum) { \
  highbd_12_variance(src, src_stride, ref, ref_stride, S, S, sse, sum); \
}

#define HIGHBD_MSE(W, H) \
uint32_t vpx_highbd_8_mse##W##x##H##_c(const uint8_t *src, \
                                       int src_stride, \
                                       const uint8_t *ref, \
                                       int ref_stride, \
                                       uint32_t *sse) { \
  int sum; \
  highbd_8_variance(src, src_stride, ref, ref_stride, W, H, sse, &sum); \
  return *sse; \
} \
\
uint32_t vpx_highbd_10_mse##W##x##H##_c(const uint8_t *src, \
                                        int src_stride, \
                                        const uint8_t *ref, \
                                        int ref_stride, \
                                        uint32_t *sse) { \
  int sum; \
  highbd_10_variance(src, src_stride, ref, ref_stride, W, H, sse, &sum); \
  return *sse; \
} \
\
uint32_t vpx_highbd_12_mse##W##x##H##_c(const uint8_t *src, \
                                        int src_stride, \
                                        const uint8_t *ref, \
                                        int ref_stride, \
                                        uint32_t *sse) { \
  int sum; \
  highbd_12_variance(src, src_stride, ref, ref_stride, W, H, sse, &sum); \
  return *sse; \
}

static void highbd_var_filter_block2d_bil_first_pass(
    const uint8_t *src_ptr8,
    uint16_t *output_ptr,
    unsigned int src_pixels_per_line,
    int pixel_step,
    unsigned int output_height,
    unsigned int output_width,
    const uint8_t *filter) {
  unsigned int i, j;
  uint16_t *src_ptr = CONVERT_TO_SHORTPTR(src_ptr8);
  for (i = 0; i < output_height; ++i) {
    for (j = 0; j < output_width; ++j) {
      output_ptr[j] =
          ROUND_POWER_OF_TWO((int)src_ptr[0] * filter[0] +
                             (int)src_ptr[pixel_step] * filter[1],
                             FILTER_BITS);

      ++src_ptr;
    }

    // Next row...
    src_ptr += src_pixels_per_line - output_width;
    output_ptr += output_width;
  }
}

static void highbd_var_filter_block2d_bil_second_pass(
    const uint16_t *src_ptr,
    uint16_t *output_ptr,
    unsigned int src_pixels_per_line,
    unsigned int pixel_step,
    unsigned int output_height,
    unsigned int output_width,
    const uint8_t *filter) {
  unsigned int  i, j;

  for (i = 0; i < output_height; ++i) {
    for (j = 0; j < output_width; ++j) {
      output_ptr[j] =
          ROUND_POWER_OF_TWO((int)src_ptr[0] * filter[0] +
                             (int)src_ptr[pixel_step] * filter[1],
                             FILTER_BITS);
      ++src_ptr;
    }

    src_ptr += src_pixels_per_line - output_width;
    output_ptr += output_width;
  }
}

#define HIGHBD_SUBPIX_VAR(W, H) \
uint32_t vpx_highbd_8_sub_pixel_variance##W##x##H##_c( \
  const uint8_t *src, int  src_stride, \
  int xoffset, int  yoffset, \
  const uint8_t *dst, int dst_stride, \
  uint32_t *sse) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint16_t temp2[H * W]; \
\
  highbd_var_filter_block2d_bil_first_pass(src, fdata3, src_stride, 1, H + 1, \
                                           W, bilinear_filters[xoffset]); \
  highbd_var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                            bilinear_filters[yoffset]); \
\
  return vpx_highbd_8_variance##W##x##H##_c(CONVERT_TO_BYTEPTR(temp2), W, dst, \
                                          dst_stride, sse); \
} \
\
uint32_t vpx_highbd_10_sub_pixel_variance##W##x##H##_c( \
  const uint8_t *src, int  src_stride, \
  int xoffset, int  yoffset, \
  const uint8_t *dst, int dst_stride, \
  uint32_t *sse) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint16_t temp2[H * W]; \
\
  highbd_var_filter_block2d_bil_first_pass(src, fdata3, src_stride, 1, H + 1, \
                                           W, bilinear_filters[xoffset]); \
  highbd_var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                            bilinear_filters[yoffset]); \
\
  return vpx_highbd_10_variance##W##x##H##_c(CONVERT_TO_BYTEPTR(temp2), \
                                             W, dst, dst_stride, sse); \
} \
\
uint32_t vpx_highbd_12_sub_pixel_variance##W##x##H##_c( \
  const uint8_t *src, int  src_stride, \
  int xoffset, int  yoffset, \
  const uint8_t *dst, int dst_stride, \
  uint32_t *sse) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint16_t temp2[H * W]; \
\
  highbd_var_filter_block2d_bil_first_pass(src, fdata3, src_stride, 1, H + 1, \
                                           W, bilinear_filters[xoffset]); \
  highbd_var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                            bilinear_filters[yoffset]); \
\
  return vpx_highbd_12_variance##W##x##H##_c(CONVERT_TO_BYTEPTR(temp2), \
                                             W, dst, dst_stride, sse); \
}

#define HIGHBD_SUBPIX_AVG_VAR(W, H) \
uint32_t vpx_highbd_8_sub_pixel_avg_variance##W##x##H##_c( \
  const uint8_t *src, int  src_stride, \
  int xoffset, int  yoffset, \
  const uint8_t *dst, int dst_stride, \
  uint32_t *sse, \
  const uint8_t *second_pred) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint16_t temp2[H * W]; \
  DECLARE_ALIGNED(16, uint16_t, temp3[H * W]); \
\
  highbd_var_filter_block2d_bil_first_pass(src, fdata3, src_stride, 1, H + 1, \
                                           W, bilinear_filters[xoffset]); \
  highbd_var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                            bilinear_filters[yoffset]); \
\
  vpx_highbd_comp_avg_pred(temp3, second_pred, W, H, \
                           CONVERT_TO_BYTEPTR(temp2), W); \
\
  return vpx_highbd_8_variance##W##x##H##_c(CONVERT_TO_BYTEPTR(temp3), W, dst, \
                                          dst_stride, sse); \
} \
\
uint32_t vpx_highbd_10_sub_pixel_avg_variance##W##x##H##_c( \
  const uint8_t *src, int  src_stride, \
  int xoffset, int  yoffset, \
  const uint8_t *dst, int dst_stride, \
  uint32_t *sse, \
  const uint8_t *second_pred) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint16_t temp2[H * W]; \
  DECLARE_ALIGNED(16, uint16_t, temp3[H * W]); \
\
  highbd_var_filter_block2d_bil_first_pass(src, fdata3, src_stride, 1, H + 1, \
                                           W, bilinear_filters[xoffset]); \
  highbd_var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                            bilinear_filters[yoffset]); \
\
  vpx_highbd_comp_avg_pred(temp3, second_pred, W, H, \
                           CONVERT_TO_BYTEPTR(temp2), W); \
\
  return vpx_highbd_10_variance##W##x##H##_c(CONVERT_TO_BYTEPTR(temp3), \
                                             W, dst, dst_stride, sse); \
} \
\
uint32_t vpx_highbd_12_sub_pixel_avg_variance##W##x##H##_c( \
  const uint8_t *src, int  src_stride, \
  int xoffset, int  yoffset, \
  const uint8_t *dst, int dst_stride, \
  uint32_t *sse, \
  const uint8_t *second_pred) { \
  uint16_t fdata3[(H + 1) * W]; \
  uint16_t temp2[H * W]; \
  DECLARE_ALIGNED(16, uint16_t, temp3[H * W]); \
\
  highbd_var_filter_block2d_bil_first_pass(src, fdata3, src_stride, 1, H + 1, \
                                           W, bilinear_filters[xoffset]); \
  highbd_var_filter_block2d_bil_second_pass(fdata3, temp2, W, W, H, W, \
                                            bilinear_filters[yoffset]); \
\
  vpx_highbd_comp_avg_pred(temp3, second_pred, W, H, \
                           CONVERT_TO_BYTEPTR(temp2), W); \
\
  return vpx_highbd_12_variance##W##x##H##_c(CONVERT_TO_BYTEPTR(temp3), \
                                             W, dst, dst_stride, sse); \
}

/* All three forms of the variance are available in the same sizes. */
#define HIGHBD_VARIANCES(W, H) \
    HIGHBD_VAR(W, H) \
    HIGHBD_SUBPIX_VAR(W, H) \
    HIGHBD_SUBPIX_AVG_VAR(W, H)

HIGHBD_VARIANCES(64, 64)
HIGHBD_VARIANCES(64, 32)
HIGHBD_VARIANCES(32, 64)
HIGHBD_VARIANCES(32, 32)
HIGHBD_VARIANCES(32, 16)
HIGHBD_VARIANCES(16, 32)
HIGHBD_VARIANCES(16, 16)
HIGHBD_VARIANCES(16, 8)
HIGHBD_VARIANCES(8, 16)
HIGHBD_VARIANCES(8, 8)
HIGHBD_VARIANCES(8, 4)
HIGHBD_VARIANCES(4, 8)
HIGHBD_VARIANCES(4, 4)

HIGHBD_GET_VAR(8)
HIGHBD_GET_VAR(16)

HIGHBD_MSE(16, 16)
HIGHBD_MSE(16, 8)
HIGHBD_MSE(8, 16)
HIGHBD_MSE(8, 8)

void vpx_highbd_comp_avg_pred(uint16_t *comp_pred, const uint8_t *pred8,
                              int width, int height, const uint8_t *ref8,
                              int ref_stride) {
  int i, j;
  uint16_t *pred = CONVERT_TO_SHORTPTR(pred8);
  uint16_t *ref = CONVERT_TO_SHORTPTR(ref8);
  for (i = 0; i < height; ++i) {
    for (j = 0; j < width; ++j) {
      const int tmp = pred[j] + ref[j];
      comp_pred[j] = ROUND_POWER_OF_TWO(tmp, 1);
    }
    comp_pred += width;
    pred += width;
    ref += ref_stride;
  }
}
#endif  // CONFIG_VP9_HIGHBITDEPTH