GOOD uses the BOX filter, and uses BILINEAR for all scales > 1/1.35.

BEST uses CATMULL_ROM and fiddles with the filter scale so that it
produces square pixels at large zoom in, but normal filtering between
1 and 2.
---
 pixman/pixman-image.c |  267 +++++++++++++++++++++++++++++++++++--------------
 1 file changed, 191 insertions(+), 76 deletions(-)

diff --git a/pixman/pixman-image.c b/pixman/pixman-image.c
index 1ff1a49..2a312b1 100644
--- a/pixman/pixman-image.c
+++ b/pixman/pixman-image.c
@@ -28,6 +28,7 @@
 #include <stdio.h>
 #include <string.h>
 #include <assert.h>
+#include <math.h>
 
 #include "pixman-private.h"
 
@@ -261,6 +262,48 @@ pixman_disable_out_of_bounds_workaround (void)
 {
 }
 
+static int
+nearest_works (pixman_fixed_t (*m)[3], uint32_t flags)
+{
+    /* Here we have a chance to optimize BILINEAR filter to NEAREST if
+     * they are equivalent for the currently used transformation matrix.
+     */
+    if (
+       /* affine and integer translation components in matrix ... */
+       ((flags & FAST_PATH_AFFINE_TRANSFORM) &&
+        !pixman_fixed_frac (m[0][2] |
+                            m[1][2])) &&
+       (
+        /* ... combined with a simple rotation */
+        (flags & (FAST_PATH_ROTATE_90_TRANSFORM |
+                  FAST_PATH_ROTATE_180_TRANSFORM |
+                  FAST_PATH_ROTATE_270_TRANSFORM)) ||
+        /* ... or combined with a simple non-rotated translation */
+        (m[0][0] == pixman_fixed_1 &&
+         m[1][1] == pixman_fixed_1 &&
+         m[0][1] == 0 &&
+         m[1][0] == 0)
+        )
+       )
+    {
+       /* FIXME: there are some affine-test failures, showing that
+        * handling of BILINEAR and NEAREST filter is not quite
+        * equivalent when getting close to 32K for the translation
+        * components of the matrix. That's likely some bug, but for
+        * now just skip BILINEAR->NEAREST optimization in this case.
+        */
+       pixman_fixed_t magic_limit = pixman_int_to_fixed (30000);
+       if (m[0][2] <= magic_limit  &&
+           m[1][2] <= magic_limit  &&
+           m[0][2] >= -magic_limit &&
+           m[1][2] >= -magic_limit)
+           {
+               return 1;
+           }
+    }
+    return 0;
+}
+
 static void
 compute_image_info (pixman_image_t *image)
 {
@@ -274,112 +317,184 @@ compute_image_info (pixman_image_t *image)
                  FAST_PATH_X_UNIT_POSITIVE     |
                  FAST_PATH_Y_UNIT_ZERO         |
                  FAST_PATH_AFFINE_TRANSFORM);
+       switch (image->common.filter)
+       {
+       case PIXMAN_FILTER_CONVOLUTION:
+           break;
+       case PIXMAN_FILTER_SEPARABLE_CONVOLUTION:
+           flags |= FAST_PATH_SEPARABLE_CONVOLUTION_FILTER;
+           break;
+       default:
+           flags |= (FAST_PATH_NEAREST_FILTER |
+                     FAST_PATH_NO_CONVOLUTION_FILTER);
+           break;
+       }
     }
     else
     {
+       pixman_fixed_t (*m)[3] = image->common.transform->matrix;
+       double dx, dy;
+       int xsubsample, ysubsample;
+
        flags |= FAST_PATH_HAS_TRANSFORM;
 
-       if (image->common.transform->matrix[2][0] == 0                  &&
-           image->common.transform->matrix[2][1] == 0                  &&
-           image->common.transform->matrix[2][2] == pixman_fixed_1)
+       if (m[2][0] == 0                        &&
+           m[2][1] == 0                        &&
+           m[2][2] == pixman_fixed_1)
        {
            flags |= FAST_PATH_AFFINE_TRANSFORM;
 
-           if (image->common.transform->matrix[0][1] == 0 &&
-               image->common.transform->matrix[1][0] == 0)
+           if (m[0][1] == 0 &&
+               m[1][0] == 0)
            {
-               if (image->common.transform->matrix[0][0] == -pixman_fixed_1 &&
-                   image->common.transform->matrix[1][1] == -pixman_fixed_1)
+               if (m[0][0] == -pixman_fixed_1 &&
+                   m[1][1] == -pixman_fixed_1)
                {
                    flags |= FAST_PATH_ROTATE_180_TRANSFORM;
                }
                flags |= FAST_PATH_SCALE_TRANSFORM;
            }
-           else if (image->common.transform->matrix[0][0] == 0 &&
-                    image->common.transform->matrix[1][1] == 0)
+           else if (m[0][0] == 0 &&
+                    m[1][1] == 0)
            {
-               pixman_fixed_t m01 = image->common.transform->matrix[0][1];
-               pixman_fixed_t m10 = image->common.transform->matrix[1][0];
-
-               if (m01 == -pixman_fixed_1 && m10 == pixman_fixed_1)
+               if (m[0][1] == -pixman_fixed_1 &&
+                   m[1][0] == pixman_fixed_1)
                    flags |= FAST_PATH_ROTATE_90_TRANSFORM;
-               else if (m01 == pixman_fixed_1 && m10 == -pixman_fixed_1)
+               else if (m[0][1] == pixman_fixed_1 &&
+                        m[1][0] == -pixman_fixed_1)
                    flags |= FAST_PATH_ROTATE_270_TRANSFORM;
            }
        }
 
-       if (image->common.transform->matrix[0][0] > 0)
+       if (m[0][0] > 0)
            flags |= FAST_PATH_X_UNIT_POSITIVE;
 
-       if (image->common.transform->matrix[1][0] == 0)
+       if (m[1][0] == 0)
            flags |= FAST_PATH_Y_UNIT_ZERO;
-    }
 
-    /* Filter */
-    switch (image->common.filter)
-    {
-    case PIXMAN_FILTER_NEAREST:
-    case PIXMAN_FILTER_FAST:
-       flags |= (FAST_PATH_NEAREST_FILTER | FAST_PATH_NO_CONVOLUTION_FILTER);
-       break;
+       switch (image->common.filter)
+       {
+       case PIXMAN_FILTER_NEAREST:
+       case PIXMAN_FILTER_FAST:
+           flags |= (FAST_PATH_NEAREST_FILTER |
+                     FAST_PATH_NO_CONVOLUTION_FILTER);
+           break;
 
-    case PIXMAN_FILTER_BILINEAR:
-    case PIXMAN_FILTER_GOOD:
-    case PIXMAN_FILTER_BEST:
-       flags |= (FAST_PATH_BILINEAR_FILTER | FAST_PATH_NO_CONVOLUTION_FILTER);
+       case PIXMAN_FILTER_BILINEAR:
+           if (nearest_works(m, flags))
+               flags |= (FAST_PATH_NEAREST_FILTER |
+                         FAST_PATH_NO_CONVOLUTION_FILTER);
+           else
+               flags |= (FAST_PATH_BILINEAR_FILTER |
+                         FAST_PATH_NO_CONVOLUTION_FILTER);
+           break;
 
-       /* Here we have a chance to optimize BILINEAR filter to NEAREST if
-        * they are equivalent for the currently used transformation matrix.
-        */
-       if (flags & FAST_PATH_ID_TRANSFORM)
-       {
-           flags |= FAST_PATH_NEAREST_FILTER;
-       }
-       else if (
-           /* affine and integer translation components in matrix ... */
-           ((flags & FAST_PATH_AFFINE_TRANSFORM) &&
-            !pixman_fixed_frac (image->common.transform->matrix[0][2] |
-                                image->common.transform->matrix[1][2])) &&
-           (
-               /* ... combined with a simple rotation */
-               (flags & (FAST_PATH_ROTATE_90_TRANSFORM |
-                         FAST_PATH_ROTATE_180_TRANSFORM |
-                         FAST_PATH_ROTATE_270_TRANSFORM)) ||
-               /* ... or combined with a simple non-rotated translation */
-               (image->common.transform->matrix[0][0] == pixman_fixed_1 &&
-                image->common.transform->matrix[1][1] == pixman_fixed_1 &&
-                image->common.transform->matrix[0][1] == 0 &&
-                image->common.transform->matrix[1][0] == 0)
-               )
-           )
-       {
-           /* FIXME: there are some affine-test failures, showing that
-            * handling of BILINEAR and NEAREST filter is not quite
-            * equivalent when getting close to 32K for the translation
-            * components of the matrix. That's likely some bug, but for
-            * now just skip BILINEAR->NEAREST optimization in this case.
-            */
-           pixman_fixed_t magic_limit = pixman_int_to_fixed (30000);
-           if (image->common.transform->matrix[0][2] <= magic_limit  &&
-               image->common.transform->matrix[1][2] <= magic_limit  &&
-               image->common.transform->matrix[0][2] >= -magic_limit &&
-               image->common.transform->matrix[1][2] >= -magic_limit)
-           {
-               flags |= FAST_PATH_NEAREST_FILTER;
+       case PIXMAN_FILTER_GOOD:
+           if (nearest_works(m, flags)) {
+               flags |= (FAST_PATH_NEAREST_FILTER |
+                         FAST_PATH_NO_CONVOLUTION_FILTER);
+               break;
            }
-       }
-       break;
+           /* Compute derivative at 1,1. Note that division by last row
+              both contributes the w component and converts from fixed. */
+           dy = 1.0 / (m[2][0] + m[2][1] + m[2][2]);
+           dx = hypot (m[0][0] * dy, m[0][1] * dy);
+           dy = hypot (m[1][0] * dy, m[1][1] * dy);
+           /* clamp at 1, and use bilinear for scales near 1 that don't
+              look any better with the box filter. Also clamp off large
+              filters to prevent extreme slowness. */
+           if (dx <= 1.35) {
+               if (dy <= 1.35) {
+                   flags |= (FAST_PATH_BILINEAR_FILTER |
+                             FAST_PATH_NO_CONVOLUTION_FILTER);
+                   break;
+               }
+               dx = 1.0;
+           } else if (dx > 16.0)
+               dx = 16.0;
+           if (dy <= 1.35)
+               dy = 1.0;
+           else if (dy > 16.0)
+               dy = 16.0;
+
+           xsubsample = 0;
+           while (dx * (1 << xsubsample) <= 128.0) xsubsample++;
+           ysubsample = 0;
+           while (dy * (1 << ysubsample) <= 128.0) ysubsample++;
+
+           if (image->common.filter_params)
+               free (image->common.filter_params);
+
+           image->common.filter_params =
+               pixman_filter_create_separable_convolution
+               ( & image->common.n_filter_params,
+                 pixman_double_to_fixed(dx),
+                 pixman_double_to_fixed(dy),
+                 0, 0,
+                 PIXMAN_KERNEL_BOX, PIXMAN_KERNEL_BOX,
+                 xsubsample, ysubsample);
+
+           flags |= FAST_PATH_SEPARABLE_CONVOLUTION_FILTER;
+           break;
 
-    case PIXMAN_FILTER_CONVOLUTION:
-       break;
+       case PIXMAN_FILTER_BEST:
+           if (nearest_works(m, flags)) {
+               flags |= (FAST_PATH_NEAREST_FILTER |
+                         FAST_PATH_NO_CONVOLUTION_FILTER);
+               break;
+           }
+           /* Compute derivative at 1,1. Note that division by last row
+              both contributes the w component and converts from fixed. */
+           dy = 1.0 / (m[2][0] + m[2][1] + m[2][2]);
+           dx = hypot (m[0][0] * dy, m[0][1] * dy);
+           dy = hypot (m[1][0] * dy, m[1][1] * dy);
+
+           /* Clamp to prevent extreme slowness (it also switches to box).
+              When zooming in, blur until pixels are 2x, then use square
+              pixels for further zoom. Add more blur at extreme zoom-in
+              to avoid lots of subsamples */
+           if (dx > 24.0) dx = 24.0;
+           else if (dx < 1.0) {
+               if (dx >= 0.5) dx = 1.0;
+               else if (dx > 1.0/128) dx = 1.0 / (1.0 / dx - 1.0);
+               else dx = 1.0/127;
+           }
+           if (dy > 24.0) dy = 24.0;
+           else if (dy < 1.0) {
+               if (dy >= 0.5) dy = 1.0;
+               else if (dy > 1.0/128) dy = 1.0 / (1.0 / dy - 1.0);
+               else dy = 1.0/127;
+           }
 
-    case PIXMAN_FILTER_SEPARABLE_CONVOLUTION:
-       flags |= FAST_PATH_SEPARABLE_CONVOLUTION_FILTER;
-       break;
+           xsubsample = 0;
+           while (dx * (1 << xsubsample) <= 128.0) xsubsample++;
+           ysubsample = 0;
+           while (dy * (1 << ysubsample) <= 128.0) ysubsample++;
+
+           image->common.filter_params =
+               pixman_filter_create_separable_convolution
+               ( & image->common.n_filter_params,
+                 pixman_double_to_fixed(dx),
+                 pixman_double_to_fixed(dy),
+                 0, 0,
+                 dx < 16.0 ? PIXMAN_KERNEL_CATMULL_ROM : PIXMAN_KERNEL_BOX,
+                 dy < 16.0 ? PIXMAN_KERNEL_CATMULL_ROM : PIXMAN_KERNEL_BOX,
+                 xsubsample, ysubsample);
+
+           flags |= FAST_PATH_SEPARABLE_CONVOLUTION_FILTER;
+           break;
 
-    default:
-       flags |= FAST_PATH_NO_CONVOLUTION_FILTER;
-       break;
+       case PIXMAN_FILTER_CONVOLUTION:
+           break;
+
+       case PIXMAN_FILTER_SEPARABLE_CONVOLUTION:
+           flags |= FAST_PATH_SEPARABLE_CONVOLUTION_FILTER;
+           break;
+
+       default:
+           flags |= FAST_PATH_NO_CONVOLUTION_FILTER;
+           break;
+       }
     }
 
     /* Repeat mode */
-- 
1.7.9.5

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