path: root/src/gallium/drivers/llvmpipe/lp_setup_tri.c

/**************************************************************************
 *
 * Copyright 2007 VMware, Inc.
 * All Rights Reserved.
 *
 * Permission is hereby granted, free of charge, to any person obtaining a
 * copy of this software and associated documentation files (the
 * "Software"), to deal in the Software without restriction, including
 * without limitation the rights to use, copy, modify, merge, publish,
 * distribute, sub license, and/or sell copies of the Software, and to
 * permit persons to whom the Software is furnished to do so, subject to
 * the following conditions:
 *
 * The above copyright notice and this permission notice (including the
 * next paragraph) shall be included in all copies or substantial portions
 * of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
 * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT.
 * IN NO EVENT SHALL VMWARE AND/OR ITS SUPPLIERS BE LIABLE FOR
 * ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,
 * TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
 * SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
 *
 **************************************************************************/

/*
 * Binning code for triangles
 */

#include "util/u_math.h"
#include "util/u_memory.h"
#include "util/u_rect.h"
#include "util/u_sse.h"
#include "lp_perf.h"
#include "lp_setup_context.h"
#include "lp_rast.h"
#include "lp_state_fs.h"
#include "lp_state_setup.h"
#include "lp_context.h"

#include <inttypes.h>

#define NUM_CHANNELS 4

#if defined(PIPE_ARCH_SSE)
#include <emmintrin.h>
#elif defined(_ARCH_PWR8) && defined(PIPE_ARCH_LITTLE_ENDIAN)
#include <altivec.h>
#include "util/u_pwr8.h"
#endif

static inline int
subpixel_snap(float a)
{
   return util_iround(FIXED_ONE * a);
}

static inline float
fixed_to_float(int a)
{
   return a * (1.0f / FIXED_ONE);
}


/* Position and area in fixed point coordinates */
struct fixed_position {
   int32_t x[4];
   int32_t y[4];
   int32_t dx01;
   int32_t dy01;
   int32_t dx20;
   int32_t dy20;
   int64_t area;
};


/**
 * Alloc space for a new triangle plus the input.a0/dadx/dady arrays
 * immediately after it.
 * The memory is allocated from the per-scene pool, not per-tile.
 * \param tri_size  returns number of bytes allocated
 * \param num_inputs  number of fragment shader inputs
 * \return pointer to triangle space
 */
struct lp_rast_triangle *
lp_setup_alloc_triangle(struct lp_scene *scene,
                        unsigned nr_inputs,
                        unsigned nr_planes,
                        unsigned *tri_size)
{
   unsigned input_array_sz = NUM_CHANNELS * (nr_inputs + 1) * sizeof(float);
   unsigned plane_sz = nr_planes * sizeof(struct lp_rast_plane);
   struct lp_rast_triangle *tri;

   *tri_size = (sizeof(struct lp_rast_triangle) +
                3 * input_array_sz +
                plane_sz);

   tri = lp_scene_alloc_aligned( scene, *tri_size, 16 );
   if (!tri)
      return NULL;

   tri->inputs.stride = input_array_sz;

   {
      char *a = (char *)tri;
      char *b = (char *)&GET_PLANES(tri)[nr_planes];
      assert(b - a == *tri_size);
   }

   return tri;
}

void
lp_setup_print_vertex(struct lp_setup_context *setup,
                      const char *name,
                      const float (*v)[4])
{
   const struct lp_setup_variant_key *key = &setup->setup.variant->key;
   int i, j;

   debug_printf("   wpos (%s[0]) xyzw %f %f %f %f\n",
                name,
                v[0][0], v[0][1], v[0][2], v[0][3]);

   for (i = 0; i < key->num_inputs; i++) {
      const float *in = v[key->inputs[i].src_index];

      debug_printf("  in[%d] (%s[%d]) %s%s%s%s ",
                   i, 
                   name, key->inputs[i].src_index,
                   (key->inputs[i].usage_mask & 0x1) ? "x" : " ",
                   (key->inputs[i].usage_mask & 0x2) ? "y" : " ",
                   (key->inputs[i].usage_mask & 0x4) ? "z" : " ",
                   (key->inputs[i].usage_mask & 0x8) ? "w" : " ");

      for (j = 0; j < 4; j++)
         if (key->inputs[i].usage_mask & (1<<j))
            debug_printf("%.5f ", in[j]);

      debug_printf("\n");
   }
}


/**
 * Print triangle vertex attribs (for debug).
 */
void
lp_setup_print_triangle(struct lp_setup_context *setup,
                        const float (*v0)[4],
                        const float (*v1)[4],
                        const float (*v2)[4])
{
   debug_printf("triangle\n");

   {
      const float ex = v0[0][0] - v2[0][0];
      const float ey = v0[0][1] - v2[0][1];
      const float fx = v1[0][0] - v2[0][0];
      const float fy = v1[0][1] - v2[0][1];

      /* det = cross(e,f).z */
      const float det = ex * fy - ey * fx;
      if (det < 0.0f) 
         debug_printf("   - ccw\n");
      else if (det > 0.0f)
         debug_printf("   - cw\n");
      else
         debug_printf("   - zero area\n");
   }

   lp_setup_print_vertex(setup, "v0", v0);
   lp_setup_print_vertex(setup, "v1", v1);
   lp_setup_print_vertex(setup, "v2", v2);
}


#define MAX_PLANES 8
static unsigned
lp_rast_tri_tab[MAX_PLANES+1] = {
   0,               /* should be impossible */
   LP_RAST_OP_TRIANGLE_1,
   LP_RAST_OP_TRIANGLE_2,
   LP_RAST_OP_TRIANGLE_3,
   LP_RAST_OP_TRIANGLE_4,
   LP_RAST_OP_TRIANGLE_5,
   LP_RAST_OP_TRIANGLE_6,
   LP_RAST_OP_TRIANGLE_7,
   LP_RAST_OP_TRIANGLE_8
};

static unsigned
lp_rast_32_tri_tab[MAX_PLANES+1] = {
   0,               /* should be impossible */
   LP_RAST_OP_TRIANGLE_32_1,
   LP_RAST_OP_TRIANGLE_32_2,
   LP_RAST_OP_TRIANGLE_32_3,
   LP_RAST_OP_TRIANGLE_32_4,
   LP_RAST_OP_TRIANGLE_32_5,
   LP_RAST_OP_TRIANGLE_32_6,
   LP_RAST_OP_TRIANGLE_32_7,
   LP_RAST_OP_TRIANGLE_32_8
};



/**
 * The primitive covers the whole tile- shade whole tile.
 *
 * \param tx, ty  the tile position in tiles, not pixels
 */
static boolean
lp_setup_whole_tile(struct lp_setup_context *setup,
                    const struct lp_rast_shader_inputs *inputs,
                    int tx, int ty)
{
   struct lp_scene *scene = setup->scene;

   LP_COUNT(nr_fully_covered_64);

   /* if variant is opaque and scissor doesn't effect the tile */
   if (inputs->opaque) {
      /* Several things prevent this optimization from working:
       * - For layered rendering we can't determine if this covers the same layer
       * as previous rendering (or in case of clears those actually always cover
       * all layers so optimization is impossible). Need to use fb_max_layer and
       * not setup->layer_slot to determine this since even if there's currently
       * no slot assigned previous rendering could have used one.
       * - If there were any Begin/End query commands in the scene then those
       * would get removed which would be very wrong. Furthermore, if queries
       * were just active we also can't do the optimization since to get
       * accurate query results we unfortunately need to execute the rendering
       * commands.
       */
      if (!scene->fb.zsbuf && scene->fb_max_layer == 0 && !scene->had_queries) {
         /*
          * All previous rendering will be overwritten so reset the bin.
          */
         lp_scene_bin_reset( scene, tx, ty );
      }

      LP_COUNT(nr_shade_opaque_64);
      return lp_scene_bin_cmd_with_state( scene, tx, ty,
                                          setup->fs.stored,
                                          LP_RAST_OP_SHADE_TILE_OPAQUE,
                                          lp_rast_arg_inputs(inputs) );
   } else {
      LP_COUNT(nr_shade_64);
      return lp_scene_bin_cmd_with_state( scene, tx, ty,
                                          setup->fs.stored, 
                                          LP_RAST_OP_SHADE_TILE,
                                          lp_rast_arg_inputs(inputs) );
   }
}


/**
 * Do basic setup for triangle rasterization and determine which
 * framebuffer tiles are touched.  Put the triangle in the scene's
 * bins for the tiles which we overlap.
 */
static boolean
do_triangle_ccw(struct lp_setup_context *setup,
                struct fixed_position* position,
                const float (*v0)[4],
                const float (*v1)[4],
                const float (*v2)[4],
                boolean frontfacing )
{
   struct lp_scene *scene = setup->scene;
   const struct lp_setup_variant_key *key = &setup->setup.variant->key;
   struct lp_rast_triangle *tri;
   struct lp_rast_plane *plane;
   struct u_rect bbox;
   unsigned tri_bytes;
   int nr_planes = 3;
   unsigned viewport_index = 0;
   unsigned layer = 0;
   const float (*pv)[4];

   /* Area should always be positive here */
   assert(position->area > 0);

   if (0)
      lp_setup_print_triangle(setup, v0, v1, v2);

   if (setup->flatshade_first) {
      pv = v0;
   }
   else {
      pv = v2;
   }
   if (setup->viewport_index_slot > 0) {
      unsigned *udata = (unsigned*)pv[setup->viewport_index_slot];
      viewport_index = lp_clamp_viewport_idx(*udata);
   }
   if (setup->layer_slot > 0) {
      layer = *(unsigned*)pv[setup->layer_slot];
      layer = MIN2(layer, scene->fb_max_layer);
   }

   if (setup->scissor_test) {
      nr_planes = 7;
   }
   else {
      nr_planes = 3;
   }

   /* Bounding rectangle (in pixels) */
   {
      /* Yes this is necessary to accurately calculate bounding boxes
       * with the two fill-conventions we support.  GL (normally) ends
       * up needing a bottom-left fill convention, which requires
       * slightly different rounding.
       */
      int adj = (setup->bottom_edge_rule != 0) ? 1 : 0;

      /* Inclusive x0, exclusive x1 */
      bbox.x0 =  MIN3(position->x[0], position->x[1], position->x[2]) >> FIXED_ORDER;
      bbox.x1 = (MAX3(position->x[0], position->x[1], position->x[2]) - 1) >> FIXED_ORDER;

      /* Inclusive / exclusive depending upon adj (bottom-left or top-right) */
      bbox.y0 = (MIN3(position->y[0], position->y[1], position->y[2]) + adj) >> FIXED_ORDER;
      bbox.y1 = (MAX3(position->y[0], position->y[1], position->y[2]) - 1 + adj) >> FIXED_ORDER;
   }

   if (bbox.x1 < bbox.x0 ||
       bbox.y1 < bbox.y0) {
      if (0) debug_printf("empty bounding box\n");
      LP_COUNT(nr_culled_tris);
      return TRUE;
   }

   if (!u_rect_test_intersection(&setup->draw_regions[viewport_index], &bbox)) {
      if (0) debug_printf("offscreen\n");
      LP_COUNT(nr_culled_tris);
      return TRUE;
   }

   /* Can safely discard negative regions, but need to keep hold of
    * information about when the triangle extends past screen
    * boundaries.  See trimmed_box in lp_setup_bin_triangle().
    */
   bbox.x0 = MAX2(bbox.x0, 0);
   bbox.y0 = MAX2(bbox.y0, 0);

   tri = lp_setup_alloc_triangle(scene,
                                 key->num_inputs,
                                 nr_planes,
                                 &tri_bytes);
   if (!tri)
      return FALSE;

#if 0
   tri->v[0][0] = v0[0][0];
   tri->v[1][0] = v1[0][0];
   tri->v[2][0] = v2[0][0];
   tri->v[0][1] = v0[0][1];
   tri->v[1][1] = v1[0][1];
   tri->v[2][1] = v2[0][1];
#endif

   LP_COUNT(nr_tris);

   /* Setup parameter interpolants:
    */
   setup->setup.variant->jit_function( v0,
				       v1,
				       v2,
				       frontfacing,
				       GET_A0(&tri->inputs),
				       GET_DADX(&tri->inputs),
				       GET_DADY(&tri->inputs) );

   tri->inputs.frontfacing = frontfacing;
   tri->inputs.disable = FALSE;
   tri->inputs.opaque = setup->fs.current.variant->opaque;
   tri->inputs.layer = layer;
   tri->inputs.viewport_index = viewport_index;

   if (0)
      lp_dump_setup_coef(&setup->setup.variant->key,
			 (const float (*)[4])GET_A0(&tri->inputs),
			 (const float (*)[4])GET_DADX(&tri->inputs),
			 (const float (*)[4])GET_DADY(&tri->inputs));

   plane = GET_PLANES(tri);

#if defined(PIPE_ARCH_SSE)
   if (1) {
      __m128i vertx, verty;
      __m128i shufx, shufy;
      __m128i dcdx, dcdy;
      __m128i cdx02, cdx13, cdy02, cdy13, c02, c13;
      __m128i c01, c23, unused;
      __m128i dcdx_neg_mask;
      __m128i dcdy_neg_mask;
      __m128i dcdx_zero_mask;
      __m128i top_left_flag, c_dec;
      __m128i eo, p0, p1, p2;
      __m128i zero = _mm_setzero_si128();

      vertx = _mm_load_si128((__m128i *)position->x); /* vertex x coords */
      verty = _mm_load_si128((__m128i *)position->y); /* vertex y coords */

      shufx = _mm_shuffle_epi32(vertx, _MM_SHUFFLE(3,0,2,1));
      shufy = _mm_shuffle_epi32(verty, _MM_SHUFFLE(3,0,2,1));

      dcdx = _mm_sub_epi32(verty, shufy);
      dcdy = _mm_sub_epi32(vertx, shufx);

      dcdx_neg_mask = _mm_srai_epi32(dcdx, 31);
      dcdx_zero_mask = _mm_cmpeq_epi32(dcdx, zero);
      dcdy_neg_mask = _mm_srai_epi32(dcdy, 31);

      top_left_flag = _mm_set1_epi32((setup->bottom_edge_rule == 0) ? ~0 : 0);

      c_dec = _mm_or_si128(dcdx_neg_mask,
                           _mm_and_si128(dcdx_zero_mask,
                                         _mm_xor_si128(dcdy_neg_mask,
                                                       top_left_flag)));

      /*
       * 64 bit arithmetic.
       * Note we need _signed_ mul (_mm_mul_epi32) which we emulate.
       */
      cdx02 = mm_mullohi_epi32(dcdx, vertx, &cdx13);
      cdy02 = mm_mullohi_epi32(dcdy, verty, &cdy13);
      c02 = _mm_sub_epi64(cdx02, cdy02);
      c13 = _mm_sub_epi64(cdx13, cdy13);
      c02 = _mm_sub_epi64(c02, _mm_shuffle_epi32(c_dec,
                                                 _MM_SHUFFLE(2,2,0,0)));
      c13 = _mm_sub_epi64(c13, _mm_shuffle_epi32(c_dec,
                                                 _MM_SHUFFLE(3,3,1,1)));

      /*
       * Useful for very small fbs/tris (or fewer subpixel bits) only:
       * c = _mm_sub_epi32(mm_mullo_epi32(dcdx, vertx),
       *                   mm_mullo_epi32(dcdy, verty));
       *
       * c = _mm_sub_epi32(c, c_dec);
       */

      /* Scale up to match c:
       */
      dcdx = _mm_slli_epi32(dcdx, FIXED_ORDER);
      dcdy = _mm_slli_epi32(dcdy, FIXED_ORDER);

      /*
       * Calculate trivial reject values:
       * Note eo cannot overflow even if dcdx/dcdy would already have
       * 31 bits (which they shouldn't have). This is because eo
       * is never negative (albeit if we rely on that need to be careful...)
       */
      eo = _mm_sub_epi32(_mm_andnot_si128(dcdy_neg_mask, dcdy),
                         _mm_and_si128(dcdx_neg_mask, dcdx));

      /* ei = _mm_sub_epi32(_mm_sub_epi32(dcdy, dcdx), eo); */

      /*
       * Pointless transpose which gets undone immediately in
       * rasterization.
       * It is actually difficult to do away with it - would essentially
       * need GET_PLANES_DX, GET_PLANES_DY etc., but the calculations
       * for this then would need to depend on the number of planes.
       * The transpose is quite special here due to c being 64bit...
       * The store has to be unaligned (unless we'd make the plane size
       * a multiple of 128), and of course storing eo separately...
       */
      c01 = _mm_unpacklo_epi64(c02, c13);
      c23 = _mm_unpackhi_epi64(c02, c13);
      transpose2_64_2_32(&c01, &c23, &dcdx, &dcdy,
                         &p0, &p1, &p2, &unused);
      _mm_storeu_si128((__m128i *)&plane[0], p0);
      plane[0].eo = (uint32_t)_mm_cvtsi128_si32(eo);
      _mm_storeu_si128((__m128i *)&plane[1], p1);
      eo = _mm_shuffle_epi32(eo, _MM_SHUFFLE(3,2,0,1));
      plane[1].eo = (uint32_t)_mm_cvtsi128_si32(eo);
      _mm_storeu_si128((__m128i *)&plane[2], p2);
      eo = _mm_shuffle_epi32(eo, _MM_SHUFFLE(0,0,0,2));
      plane[2].eo = (uint32_t)_mm_cvtsi128_si32(eo);
   } else
#elif defined(_ARCH_PWR8) && defined(PIPE_ARCH_LITTLE_ENDIAN)
   /*
    * XXX this code is effectively disabled for all practical purposes,
    * as the allowed fb size is tiny if FIXED_ORDER is 8.
    */
   if (setup->fb.width <= MAX_FIXED_LENGTH32 &&
       setup->fb.height <= MAX_FIXED_LENGTH32 &&
       (bbox.x1 - bbox.x0) <= MAX_FIXED_LENGTH32 &&
       (bbox.y1 - bbox.y0) <= MAX_FIXED_LENGTH32) {
      unsigned int bottom_edge;
      __m128i vertx, verty;
      __m128i shufx, shufy;
      __m128i dcdx, dcdy, c;
      __m128i unused;
      __m128i dcdx_neg_mask;
      __m128i dcdy_neg_mask;
      __m128i dcdx_zero_mask;
      __m128i top_left_flag;
      __m128i c_inc_mask, c_inc;
      __m128i eo, p0, p1, p2;
      __m128i_union vshuf_mask;
      __m128i zero = vec_splats((unsigned char) 0);
      PIPE_ALIGN_VAR(16) int32_t temp_vec[4];

#ifdef PIPE_ARCH_LITTLE_ENDIAN
      vshuf_mask.i[0] = 0x07060504;
      vshuf_mask.i[1] = 0x0B0A0908;
      vshuf_mask.i[2] = 0x03020100;
      vshuf_mask.i[3] = 0x0F0E0D0C;
#else
      vshuf_mask.i[0] = 0x00010203;
      vshuf_mask.i[1] = 0x0C0D0E0F;
      vshuf_mask.i[2] = 0x04050607;
      vshuf_mask.i[3] = 0x08090A0B;
#endif

      /* vertex x coords */
      vertx = vec_load_si128((const uint32_t *) position->x);
      /* vertex y coords */
      verty = vec_load_si128((const uint32_t *) position->y);

      shufx = vec_perm (vertx, vertx, vshuf_mask.m128i);
      shufy = vec_perm (verty, verty, vshuf_mask.m128i);

      dcdx = vec_sub_epi32(verty, shufy);
      dcdy = vec_sub_epi32(vertx, shufx);

      dcdx_neg_mask = vec_srai_epi32(dcdx, 31);
      dcdx_zero_mask = vec_cmpeq_epi32(dcdx, zero);
      dcdy_neg_mask = vec_srai_epi32(dcdy, 31);

      bottom_edge = (setup->bottom_edge_rule == 0) ? ~0 : 0;
      top_left_flag = (__m128i) vec_splats(bottom_edge);

      c_inc_mask = vec_or(dcdx_neg_mask,
                                vec_and(dcdx_zero_mask,
                                              vec_xor(dcdy_neg_mask,
                                                            top_left_flag)));

      c_inc = vec_srli_epi32(c_inc_mask, 31);

      c = vec_sub_epi32(vec_mullo_epi32(dcdx, vertx),
                        vec_mullo_epi32(dcdy, verty));

      c = vec_add_epi32(c, c_inc);

      /* Scale up to match c:
       */
      dcdx = vec_slli_epi32(dcdx, FIXED_ORDER);
      dcdy = vec_slli_epi32(dcdy, FIXED_ORDER);

      /* Calculate trivial reject values:
       */
      eo = vec_sub_epi32(vec_andnot_si128(dcdy_neg_mask, dcdy),
                         vec_and(dcdx_neg_mask, dcdx));

      /* ei = _mm_sub_epi32(_mm_sub_epi32(dcdy, dcdx), eo); */

      /* Pointless transpose which gets undone immediately in
       * rasterization:
       */
      transpose4_epi32(&c, &dcdx, &dcdy, &eo,
                       &p0, &p1, &p2, &unused);

#define STORE_PLANE(plane, vec) do {                  \
         vec_store_si128((uint32_t *)&temp_vec, vec); \
         plane.c    = (int64_t)temp_vec[0];           \
         plane.dcdx = temp_vec[1];                    \
         plane.dcdy = temp_vec[2];                    \
         plane.eo   = temp_vec[3];                    \
      } while(0)

      STORE_PLANE(plane[0], p0);
      STORE_PLANE(plane[1], p1);
      STORE_PLANE(plane[2], p2);
#undef STORE_PLANE
   } else
#endif
   {
      int i;
      plane[0].dcdy = position->dx01;
      plane[1].dcdy = position->x[1] - position->x[2];
      plane[2].dcdy = position->dx20;
      plane[0].dcdx = position->dy01;
      plane[1].dcdx = position->y[1] - position->y[2];
      plane[2].dcdx = position->dy20;
  
      for (i = 0; i < 3; i++) {
         /* half-edge constants, will be iterated over the whole render
          * target.
          */
         plane[i].c = IMUL64(plane[i].dcdx, position->x[i]) -
                      IMUL64(plane[i].dcdy, position->y[i]);

         /* correct for top-left vs. bottom-left fill convention.
          */
         if (plane[i].dcdx < 0) {
            /* both fill conventions want this - adjust for left edges */
            plane[i].c++;
         }
         else if (plane[i].dcdx == 0) {
            if (setup->bottom_edge_rule == 0){
               /* correct for top-left fill convention:
                */
               if (plane[i].dcdy > 0) plane[i].c++;
            }
            else {
               /* correct for bottom-left fill convention:
                */
               if (plane[i].dcdy < 0) plane[i].c++;
            }
         }

         /* Scale up to match c:
          */
         assert((plane[i].dcdx << FIXED_ORDER) >> FIXED_ORDER == plane[i].dcdx);
         assert((plane[i].dcdy << FIXED_ORDER) >> FIXED_ORDER == plane[i].dcdy);
         plane[i].dcdx <<= FIXED_ORDER;
         plane[i].dcdy <<= FIXED_ORDER;

         /* find trivial reject offsets for each edge for a single-pixel
          * sized block.  These will be scaled up at each recursive level to
          * match the active blocksize.  Scaling in this way works best if
          * the blocks are square.
          */
         plane[i].eo = 0;
         if (plane[i].dcdx < 0) plane[i].eo -= plane[i].dcdx;
         if (plane[i].dcdy > 0) plane[i].eo += plane[i].dcdy;
      }
   }

   if (0) {
      debug_printf("p0: %"PRIx64"/%08x/%08x/%08x\n",
                   plane[0].c,
                   plane[0].dcdx,
                   plane[0].dcdy,
                   plane[0].eo);

      debug_printf("p1: %"PRIx64"/%08x/%08x/%08x\n",
                   plane[1].c,
                   plane[1].dcdx,
                   plane[1].dcdy,
                   plane[1].eo);

      debug_printf("p2: %"PRIx64"/%08x/%08x/%08x\n",
                   plane[2].c,
                   plane[2].dcdx,
                   plane[2].dcdy,
                   plane[2].eo);
   }


   /* 
    * When rasterizing scissored tris, use the intersection of the
    * triangle bounding box and the scissor rect to generate the
    * scissor planes.
    *
    * This permits us to cut off the triangle "tails" that are present
    * in the intermediate recursive levels caused when two of the
    * triangles edges don't diverge quickly enough to trivially reject
    * exterior blocks from the triangle.
    *
    * It's not really clear if it's worth worrying about these tails,
    * but since we generate the planes for each scissored tri, it's
    * free to trim them in this case.
    * 
    * Note that otherwise, the scissor planes only vary in 'C' value,
    * and even then only on state-changes.  Could alternatively store
    * these planes elsewhere.
    */
   if (nr_planes == 7) {
      const struct u_rect *scissor = &setup->scissors[viewport_index];

      plane[3].dcdx = -1 << 8;
      plane[3].dcdy = 0;
      plane[3].c = (1-scissor->x0) << 8;
      plane[3].eo = 1 << 8;

      plane[4].dcdx = 1 << 8;
      plane[4].dcdy = 0;
      plane[4].c = (scissor->x1+1) << 8;
      plane[4].eo = 0;

      plane[5].dcdx = 0;
      plane[5].dcdy = 1 << 8;
      plane[5].c = (1-scissor->y0) << 8;
      plane[5].eo = 1 << 8;

      plane[6].dcdx = 0;
      plane[6].dcdy = -1 << 8;
      plane[6].c = (scissor->y1+1) << 8;
      plane[6].eo = 0;
   }

   return lp_setup_bin_triangle(setup, tri, &bbox, nr_planes, viewport_index);
}

/*
 * Round to nearest less or equal power of two of the input.
 *
 * Undefined if no bit set exists, so code should check against 0 first.
 */
static inline uint32_t 
floor_pot(uint32_t n)
{
#if defined(PIPE_CC_GCC) && (defined(PIPE_ARCH_X86) || defined(PIPE_ARCH_X86_64))
   if (n == 0)
      return 0;

   __asm__("bsr %1,%0"
          : "=r" (n)
          : "rm" (n));
   return 1 << n;
#else
   n |= (n >>  1);
   n |= (n >>  2);
   n |= (n >>  4);
   n |= (n >>  8);
   n |= (n >> 16);
   return n - (n >> 1);
#endif
}


boolean
lp_setup_bin_triangle( struct lp_setup_context *setup,
                       struct lp_rast_triangle *tri,
                       const struct u_rect *bbox,
                       int nr_planes,
                       unsigned viewport_index )
{
   struct lp_scene *scene = setup->scene;
   struct u_rect trimmed_box = *bbox;   
   int i;
   /* What is the largest power-of-two boundary this triangle crosses:
    */
   int dx = floor_pot((bbox->x0 ^ bbox->x1) |
		      (bbox->y0 ^ bbox->y1));

   /* The largest dimension of the rasterized area of the triangle
    * (aligned to a 4x4 grid), rounded down to the nearest power of two:
    */
   int max_sz = ((bbox->x1 - (bbox->x0 & ~3)) |
                 (bbox->y1 - (bbox->y0 & ~3)));
   int sz = floor_pot(max_sz);
   boolean use_32bits = max_sz <= MAX_FIXED_LENGTH32;

   /* Now apply scissor, etc to the bounding box.  Could do this
    * earlier, but it confuses the logic for tri-16 and would force
    * the rasterizer to also respect scissor, etc, just for the rare
    * cases where a small triangle extends beyond the scissor.
    */
   u_rect_find_intersection(&setup->draw_regions[viewport_index],
                            &trimmed_box);

   /* Determine which tile(s) intersect the triangle's bounding box
    */
   if (dx < TILE_SIZE)
   {
      int ix0 = bbox->x0 / TILE_SIZE;
      int iy0 = bbox->y0 / TILE_SIZE;
      unsigned px = bbox->x0 & 63 & ~3;
      unsigned py = bbox->y0 & 63 & ~3;

      assert(iy0 == bbox->y1 / TILE_SIZE &&
	     ix0 == bbox->x1 / TILE_SIZE);

      if (nr_planes == 3) {
         if (sz < 4)
         {
            /* Triangle is contained in a single 4x4 stamp:
             */
            assert(px + 4 <= TILE_SIZE);
            assert(py + 4 <= TILE_SIZE);
            return lp_scene_bin_cmd_with_state( scene, ix0, iy0,
                                                setup->fs.stored,
                                                use_32bits ?
                                                LP_RAST_OP_TRIANGLE_32_3_4 :
                                                LP_RAST_OP_TRIANGLE_3_4,
                                                lp_rast_arg_triangle_contained(tri, px, py) );
         }

         if (sz < 16)
         {
            /* Triangle is contained in a single 16x16 block:
             */

            /*
             * The 16x16 block is only 4x4 aligned, and can exceed the tile
             * dimensions if the triangle is 16 pixels in one dimension but 4
             * in the other. So budge the 16x16 back inside the tile.
             */
            px = MIN2(px, TILE_SIZE - 16);
            py = MIN2(py, TILE_SIZE - 16);

            assert(px + 16 <= TILE_SIZE);
            assert(py + 16 <= TILE_SIZE);

            return lp_scene_bin_cmd_with_state( scene, ix0, iy0,
                                                setup->fs.stored,
                                                use_32bits ?
                                                LP_RAST_OP_TRIANGLE_32_3_16 :
                                                LP_RAST_OP_TRIANGLE_3_16,
                                                lp_rast_arg_triangle_contained(tri, px, py) );
         }
      }
      else if (nr_planes == 4 && sz < 16) 
      {
         px = MIN2(px, TILE_SIZE - 16);
         py = MIN2(py, TILE_SIZE - 16);

         assert(px + 16 <= TILE_SIZE);
         assert(py + 16 <= TILE_SIZE);

         return lp_scene_bin_cmd_with_state(scene, ix0, iy0,
                                            setup->fs.stored,
                                            use_32bits ?
                                            LP_RAST_OP_TRIANGLE_32_4_16 :
                                            LP_RAST_OP_TRIANGLE_4_16,
                                            lp_rast_arg_triangle_contained(tri, px, py));
      }


      /* Triangle is contained in a single tile:
       */
      return lp_scene_bin_cmd_with_state(
         scene, ix0, iy0, setup->fs.stored,
         use_32bits ? lp_rast_32_tri_tab[nr_planes] : lp_rast_tri_tab[nr_planes],
         lp_rast_arg_triangle(tri, (1<<nr_planes)-1));
   }
   else
   {
      struct lp_rast_plane *plane = GET_PLANES(tri);
      int64_t c[MAX_PLANES];
      int64_t ei[MAX_PLANES];

      int64_t eo[MAX_PLANES];
      int64_t xstep[MAX_PLANES];
      int64_t ystep[MAX_PLANES];
      int x, y;

      int ix0 = trimmed_box.x0 / TILE_SIZE;
      int iy0 = trimmed_box.y0 / TILE_SIZE;
      int ix1 = trimmed_box.x1 / TILE_SIZE;
      int iy1 = trimmed_box.y1 / TILE_SIZE;
      
      for (i = 0; i < nr_planes; i++) {
         c[i] = (plane[i].c + 
                 IMUL64(plane[i].dcdy, iy0) * TILE_SIZE -
                 IMUL64(plane[i].dcdx, ix0) * TILE_SIZE);

         ei[i] = (plane[i].dcdy - 
                  plane[i].dcdx - 
                  (int64_t)plane[i].eo) << TILE_ORDER;

         eo[i] = (int64_t)plane[i].eo << TILE_ORDER;
         xstep[i] = -(((int64_t)plane[i].dcdx) << TILE_ORDER);
         ystep[i] = ((int64_t)plane[i].dcdy) << TILE_ORDER;
      }



      /* Test tile-sized blocks against the triangle.
       * Discard blocks fully outside the tri.  If the block is fully
       * contained inside the tri, bin an lp_rast_shade_tile command.
       * Else, bin a lp_rast_triangle command.
       */
      for (y = iy0; y <= iy1; y++)
      {
         boolean in = FALSE;  /* are we inside the triangle? */
         int64_t cx[MAX_PLANES];

         for (i = 0; i < nr_planes; i++)
            cx[i] = c[i];

         for (x = ix0; x <= ix1; x++)
         {
            int out = 0;
            int partial = 0;

            for (i = 0; i < nr_planes; i++) {
               int64_t planeout = cx[i] + eo[i];
               int64_t planepartial = cx[i] + ei[i] - 1;
               out |= (int) (planeout >> 63);
               partial |= ((int) (planepartial >> 63)) & (1<<i);
            }

            if (out) {
               /* do nothing */
               if (in)
                  break;  /* exiting triangle, all done with this row */
               LP_COUNT(nr_empty_64);
            }
            else if (partial) {
               /* Not trivially accepted by at least one plane -
                * rasterize/shade partial tile
                */
               int count = util_bitcount(partial);
               in = TRUE;
               
               if (!lp_scene_bin_cmd_with_state( scene, x, y,
                                                 setup->fs.stored,
                                                 use_32bits ?
                                                 lp_rast_32_tri_tab[count] :
                                                 lp_rast_tri_tab[count],
                                                 lp_rast_arg_triangle(tri, partial) ))
                  goto fail;

               LP_COUNT(nr_partially_covered_64);
            }
            else {
               /* triangle covers the whole tile- shade whole tile */
               LP_COUNT(nr_fully_covered_64);
               in = TRUE;
               if (!lp_setup_whole_tile(setup, &tri->inputs, x, y))
                  goto fail;
            }

            /* Iterate cx values across the region: */
            for (i = 0; i < nr_planes; i++)
               cx[i] += xstep[i];
         }

         /* Iterate c values down the region: */
         for (i = 0; i < nr_planes; i++)
            c[i] += ystep[i];
      }
   }

   return TRUE;

fail:
   /* Need to disable any partially binned triangle.  This is easier
    * than trying to locate all the triangle, shade-tile, etc,
    * commands which may have been binned.
    */
   tri->inputs.disable = TRUE;
   return FALSE;
}


/**
 * Try to draw the triangle, restart the scene on failure.
 */
static void retry_triangle_ccw( struct lp_setup_context *setup,
                                struct fixed_position* position,
                                const float (*v0)[4],
                                const float (*v1)[4],
                                const float (*v2)[4],
                                boolean front)
{
   if (!do_triangle_ccw( setup, position, v0, v1, v2, front ))
   {
      if (!lp_setup_flush_and_restart(setup))
         return;

      if (!do_triangle_ccw( setup, position, v0, v1, v2, front ))
         return;
   }
}

/**
 * Calculate fixed position data for a triangle
 * It is unfortunate we need to do that here (as we need area
 * calculated in fixed point), as there's quite some code duplication
 * to what is done in the jit setup prog.
 */
static inline void
calc_fixed_position(struct lp_setup_context *setup,
                    struct fixed_position* position,
                    const float (*v0)[4],
                    const float (*v1)[4],
                    const float (*v2)[4])
{
   /*
    * The rounding may not be quite the same with PIPE_ARCH_SSE
    * (util_iround right now only does nearest/even on x87,
    * otherwise nearest/away-from-zero).
    * Both should be acceptable, I think.
    */
#if defined(PIPE_ARCH_SSE)
   __m128d v0r, v1r, v2r;
   __m128 vxy0xy2, vxy1xy0;
   __m128i vxy0xy2i, vxy1xy0i;
   __m128i dxdy0120, x0x2y0y2, x1x0y1y0, x0120, y0120;
   __m128 pix_offset = _mm_set1_ps(setup->pixel_offset);
   __m128 fixed_one = _mm_set1_ps((float)FIXED_ONE);
   v0r = _mm_load_sd((const double *)v0[0]);
   v1r = _mm_load_sd((const double *)v1[0]);
   v2r = _mm_load_sd((const double *)v2[0]);
   vxy0xy2 = _mm_castpd_ps(_mm_unpacklo_pd(v0r, v2r));
   vxy1xy0 = _mm_castpd_ps(_mm_unpacklo_pd(v1r, v0r));
   vxy0xy2 = _mm_sub_ps(vxy0xy2, pix_offset);
   vxy1xy0 = _mm_sub_ps(vxy1xy0, pix_offset);
   vxy0xy2 = _mm_mul_ps(vxy0xy2, fixed_one);
   vxy1xy0 = _mm_mul_ps(vxy1xy0, fixed_one);
   vxy0xy2i = _mm_cvtps_epi32(vxy0xy2);
   vxy1xy0i = _mm_cvtps_epi32(vxy1xy0);
   dxdy0120 = _mm_sub_epi32(vxy0xy2i, vxy1xy0i);
   _mm_store_si128((__m128i *)&position->dx01, dxdy0120);
   /*
    * For the mul, would need some more shuffles, plus emulation
    * for the signed mul (without sse41), so don't bother.
    */
   x0x2y0y2 = _mm_shuffle_epi32(vxy0xy2i, _MM_SHUFFLE(3,1,2,0));
   x1x0y1y0 = _mm_shuffle_epi32(vxy1xy0i, _MM_SHUFFLE(3,1,2,0));
   x0120 = _mm_unpacklo_epi32(x0x2y0y2, x1x0y1y0);
   y0120 = _mm_unpackhi_epi32(x0x2y0y2, x1x0y1y0);
   _mm_store_si128((__m128i *)&position->x[0], x0120);
   _mm_store_si128((__m128i *)&position->y[0], y0120);

#else
   position->x[0] = subpixel_snap(v0[0][0] - setup->pixel_offset);
   position->x[1] = subpixel_snap(v1[0][0] - setup->pixel_offset);
   position->x[2] = subpixel_snap(v2[0][0] - setup->pixel_offset);
   position->x[3] = 0; // should be unused

   position->y[0] = subpixel_snap(v0[0][1] - setup->pixel_offset);
   position->y[1] = subpixel_snap(v1[0][1] - setup->pixel_offset);
   position->y[2] = subpixel_snap(v2[0][1] - setup->pixel_offset);
   position->y[3] = 0; // should be unused

   position->dx01 = position->x[0] - position->x[1];
   position->dy01 = position->y[0] - position->y[1];

   position->dx20 = position->x[2] - position->x[0];
   position->dy20 = position->y[2] - position->y[0];
#endif

   position->area = IMUL64(position->dx01, position->dy20) -
         IMUL64(position->dx20, position->dy01);
}


/**
 * Rotate a triangle, flipping its clockwise direction,
 * Swaps values for xy[0] and xy[1]
 */
static inline void
rotate_fixed_position_01( struct fixed_position* position )
{
   int x, y;

   x = position->x[1];
   y = position->y[1];
   position->x[1] = position->x[0];
   position->y[1] = position->y[0];
   position->x[0] = x;
   position->y[0] = y;

   position->dx01 = -position->dx01;
   position->dy01 = -position->dy01;
   position->dx20 = position->x[2] - position->x[0];
   position->dy20 = position->y[2] - position->y[0];

   position->area = -position->area;
}


/**
 * Rotate a triangle, flipping its clockwise direction,
 * Swaps values for xy[1] and xy[2]
 */
static inline void
rotate_fixed_position_12( struct fixed_position* position )
{
   int x, y;

   x = position->x[2];
   y = position->y[2];
   position->x[2] = position->x[1];
   position->y[2] = position->y[1];
   position->x[1] = x;
   position->y[1] = y;

   x = position->dx01;
   y = position->dy01;
   position->dx01 = -position->dx20;
   position->dy01 = -position->dy20;
   position->dx20 = -x;
   position->dy20 = -y;

   position->area = -position->area;
}


/**
 * Draw triangle if it's CW, cull otherwise.
 */
static void triangle_cw(struct lp_setup_context *setup,
                        const float (*v0)[4],
                        const float (*v1)[4],
                        const float (*v2)[4])
{
   PIPE_ALIGN_VAR(16) struct fixed_position position;

   calc_fixed_position(setup, &position, v0, v1, v2);

   if (position.area < 0) {
      if (setup->flatshade_first) {
         rotate_fixed_position_12(&position);
         retry_triangle_ccw(setup, &position, v0, v2, v1, !setup->ccw_is_frontface);
      } else {
         rotate_fixed_position_01(&position);
         retry_triangle_ccw(setup, &position, v1, v0, v2, !setup->ccw_is_frontface);
      }
   }
}


static void triangle_ccw(struct lp_setup_context *setup,
                         const float (*v0)[4],
                         const float (*v1)[4],
                         const float (*v2)[4])
{
   PIPE_ALIGN_VAR(16) struct fixed_position position;

   calc_fixed_position(setup, &position, v0, v1, v2);

   if (position.area > 0)
      retry_triangle_ccw(setup, &position, v0, v1, v2, setup->ccw_is_frontface);
}

/**
 * Draw triangle whether it's CW or CCW.
 */
static void triangle_both(struct lp_setup_context *setup,
                          const float (*v0)[4],
                          const float (*v1)[4],
                          const float (*v2)[4])
{
   PIPE_ALIGN_VAR(16) struct fixed_position position;
   struct llvmpipe_context *lp_context = (struct llvmpipe_context *)setup->pipe;

   if (lp_context->active_statistics_queries &&
       !llvmpipe_rasterization_disabled(lp_context)) {
      lp_context->pipeline_statistics.c_primitives++;
   }

   calc_fixed_position(setup, &position, v0, v1, v2);

   if (0) {
      assert(!util_is_inf_or_nan(v0[0][0]));
      assert(!util_is_inf_or_nan(v0[0][1]));
      assert(!util_is_inf_or_nan(v1[0][0]));
      assert(!util_is_inf_or_nan(v1[0][1]));
      assert(!util_is_inf_or_nan(v2[0][0]));
      assert(!util_is_inf_or_nan(v2[0][1]));
   }

   if (position.area > 0)
      retry_triangle_ccw( setup, &position, v0, v1, v2, setup->ccw_is_frontface );
   else if (position.area < 0) {
      if (setup->flatshade_first) {
         rotate_fixed_position_12( &position );
         retry_triangle_ccw( setup, &position, v0, v2, v1, !setup->ccw_is_frontface );
      } else {
         rotate_fixed_position_01( &position );
         retry_triangle_ccw( setup, &position, v1, v0, v2, !setup->ccw_is_frontface );
      }
   }
}


static void triangle_nop( struct lp_setup_context *setup,
			  const float (*v0)[4],
			  const float (*v1)[4],
			  const float (*v2)[4] )
{
}


void 
lp_setup_choose_triangle( struct lp_setup_context *setup )
{
   switch (setup->cullmode) {
   case PIPE_FACE_NONE:
      setup->triangle = triangle_both;
      break;
   case PIPE_FACE_BACK:
      setup->triangle = setup->ccw_is_frontface ? triangle_ccw : triangle_cw;
      break;
   case PIPE_FACE_FRONT:
      setup->triangle = setup->ccw_is_frontface ? triangle_cw : triangle_ccw;
      break;
   default:
      setup->triangle = triangle_nop;
      break;
   }
}