geom_patch.h

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/*
 * Based on code from OpenSubdiv released under this license:
 *
 * Copyright 2013 Pixar
 *
 * Licensed under the Apache License, Version 2.0 (the "Apache License")
 * with the following modification; you may not use this file except in
 * compliance with the Apache License and the following modification to it:
 * Section 6. Trademarks. is deleted and replaced with:
 *
 * 6. Trademarks. This License does not grant permission to use the trade
 *   names, trademarks, service marks, or product names of the Licensor
 *   and its affiliates, except as required to comply with Section 4(c) of
 *   the License and to reproduce the content of the NOTICE file.
 *
 * You may obtain a copy of the Apache License at
 *
 *    http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the Apache License with the above modification is
 * distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
 * KIND, either express or implied. See the Apache License for the specific
 * language governing permissions and limitations under the Apache License.
 */
 
CCL_NAMESPACE_BEGIN
 
typedef struct PatchHandle {
  int array_index, patch_index, vert_index;
} PatchHandle;
 
ccl_device_inline int patch_map_resolve_quadrant(float median, float *u, float *v)
{
  int quadrant = -1;
 
  if (*u < median) {
    if (*v < median) {
      quadrant = 0;
    }
    else {
      quadrant = 1;
      *v -= median;
    }
  }
  else {
    if (*v < median) {
      quadrant = 3;
    }
    else {
      quadrant = 2;
      *v -= median;
    }
    *u -= median;
  }
 
  return quadrant;
}
 
/* retrieve PatchHandle from patch coords */
 
ccl_device_inline PatchHandle
patch_map_find_patch(KernelGlobals *kg, int object, int patch, float u, float v)
{
  PatchHandle handle;
 
  kernel_assert((u >= 0.0f) && (u <= 1.0f) && (v >= 0.0f) && (v <= 1.0f));
 
  int node = (object_patch_map_offset(kg, object) + patch) / 2;
  float median = 0.5f;
 
  for (int depth = 0; depth < 0xff; depth++) {
    float delta = median * 0.5f;
 
    int quadrant = patch_map_resolve_quadrant(median, &u, &v);
    kernel_assert(quadrant >= 0);
 
    uint child = kernel_tex_fetch(__patches, node + quadrant);
 
    /* is the quadrant a hole? */
    if (!(child & PATCH_MAP_NODE_IS_SET)) {
      handle.array_index = -1;
      return handle;
    }
 
    uint index = child & PATCH_MAP_NODE_INDEX_MASK;
 
    if (child & PATCH_MAP_NODE_IS_LEAF) {
      handle.array_index = kernel_tex_fetch(__patches, index + 0);
      handle.patch_index = kernel_tex_fetch(__patches, index + 1);
      handle.vert_index = kernel_tex_fetch(__patches, index + 2);
 
      return handle;
    }
    else {
      node = index;
    }
 
    median = delta;
  }
 
  /* no leaf found */
  kernel_assert(0);
 
  handle.array_index = -1;
  return handle;
}
 
ccl_device_inline void patch_eval_bspline_weights(float t, float *point, float *deriv)
{
  /* The four uniform cubic B-Spline basis functions evaluated at t */
  float inv_6 = 1.0f / 6.0f;
 
  float t2 = t * t;
  float t3 = t * t2;
 
  point[0] = inv_6 * (1.0f - 3.0f * (t - t2) - t3);
  point[1] = inv_6 * (4.0f - 6.0f * t2 + 3.0f * t3);
  point[2] = inv_6 * (1.0f + 3.0f * (t + t2 - t3));
  point[3] = inv_6 * t3;
 
  /* Derivatives of the above four basis functions at t */
  deriv[0] = -0.5f * t2 + t - 0.5f;
  deriv[1] = 1.5f * t2 - 2.0f * t;
  deriv[2] = -1.5f * t2 + t + 0.5f;
  deriv[3] = 0.5f * t2;
}
 
ccl_device_inline void patch_eval_adjust_boundary_weights(uint bits, float *s, float *t)
{
  int boundary = ((bits >> 8) & 0xf);
 
  if (boundary & 1) {
    t[2] -= t[0];
    t[1] += 2 * t[0];
    t[0] = 0;
  }
 
  if (boundary & 2) {
    s[1] -= s[3];
    s[2] += 2 * s[3];
    s[3] = 0;
  }
 
  if (boundary & 4) {
    t[1] -= t[3];
    t[2] += 2 * t[3];
    t[3] = 0;
  }
 
  if (boundary & 8) {
    s[2] -= s[0];
    s[1] += 2 * s[0];
    s[0] = 0;
  }
}
 
ccl_device_inline int patch_eval_depth(uint patch_bits)
{
  return (patch_bits & 0xf);
}
 
ccl_device_inline float patch_eval_param_fraction(uint patch_bits)
{
  bool non_quad_root = (patch_bits >> 4) & 0x1;
  int depth = patch_eval_depth(patch_bits);
 
  if (non_quad_root) {
    return 1.0f / (float)(1 << (depth - 1));
  }
  else {
    return 1.0f / (float)(1 << depth);
  }
}
 
ccl_device_inline void patch_eval_normalize_coords(uint patch_bits, float *u, float *v)
{
  float frac = patch_eval_param_fraction(patch_bits);
 
  int iu = (patch_bits >> 22) & 0x3ff;
  int iv = (patch_bits >> 12) & 0x3ff;
 
  /* top left corner */
  float pu = (float)iu * frac;
  float pv = (float)iv * frac;
 
  /* normalize uv coordinates */
  *u = (*u - pu) / frac;
  *v = (*v - pv) / frac;
}
 
/* retrieve patch control indices */
 
ccl_device_inline int patch_eval_indices(KernelGlobals *kg,
                                         const PatchHandle *handle,
                                         int channel,
                                         int indices[PATCH_MAX_CONTROL_VERTS])
{
  int index_base = kernel_tex_fetch(__patches, handle->array_index + 2) + handle->vert_index;
 
  /* XXX: regular patches only */
  for (int i = 0; i < 16; i++) {
    indices[i] = kernel_tex_fetch(__patches, index_base + i);
  }
 
  return 16;
}
 
/* evaluate patch basis functions */
 
ccl_device_inline void patch_eval_basis(KernelGlobals *kg,
                                        const PatchHandle *handle,
                                        float u,
                                        float v,
                                        float weights[PATCH_MAX_CONTROL_VERTS],
                                        float weights_du[PATCH_MAX_CONTROL_VERTS],
                                        float weights_dv[PATCH_MAX_CONTROL_VERTS])
{
  uint patch_bits = kernel_tex_fetch(__patches, handle->patch_index + 1); /* read patch param */
  float d_scale = 1 << patch_eval_depth(patch_bits);
 
  bool non_quad_root = (patch_bits >> 4) & 0x1;
  if (non_quad_root) {
    d_scale *= 0.5f;
  }
 
  patch_eval_normalize_coords(patch_bits, &u, &v);
 
  /* XXX: regular patches only for now. */
 
  float s[4], t[4], ds[4], dt[4];
 
  patch_eval_bspline_weights(u, s, ds);
  patch_eval_bspline_weights(v, t, dt);
 
  patch_eval_adjust_boundary_weights(patch_bits, s, t);
  patch_eval_adjust_boundary_weights(patch_bits, ds, dt);
 
  for (int k = 0; k < 4; k++) {
    for (int l = 0; l < 4; l++) {
      weights[4 * k + l] = s[l] * t[k];
      weights_du[4 * k + l] = ds[l] * t[k] * d_scale;
      weights_dv[4 * k + l] = s[l] * dt[k] * d_scale;
    }
  }
}
 
/* generic function for evaluating indices and weights from patch coords */
 
ccl_device_inline int patch_eval_control_verts(KernelGlobals *kg,
                                               int object,
                                               int patch,
                                               float u,
                                               float v,
                                               int channel,
                                               int indices[PATCH_MAX_CONTROL_VERTS],
                                               float weights[PATCH_MAX_CONTROL_VERTS],
                                               float weights_du[PATCH_MAX_CONTROL_VERTS],
                                               float weights_dv[PATCH_MAX_CONTROL_VERTS])
{
  PatchHandle handle = patch_map_find_patch(kg, object, patch, u, v);
  kernel_assert(handle.array_index >= 0);
 
  int num_control = patch_eval_indices(kg, &handle, channel, indices);
  patch_eval_basis(kg, &handle, u, v, weights, weights_du, weights_dv);
 
  return num_control;
}
 
/* functions for evaluating attributes on patches */
 
ccl_device float patch_eval_float(KernelGlobals *kg,
                                  const ShaderData *sd,
                                  int offset,
                                  int patch,
                                  float u,
                                  float v,
                                  int channel,
                                  float *du,
                                  float *dv)
{
  int indices[PATCH_MAX_CONTROL_VERTS];
  float weights[PATCH_MAX_CONTROL_VERTS];
  float weights_du[PATCH_MAX_CONTROL_VERTS];
  float weights_dv[PATCH_MAX_CONTROL_VERTS];
 
  int num_control = patch_eval_control_verts(
      kg, sd->object, patch, u, v, channel, indices, weights, weights_du, weights_dv);
 
  float val = 0.0f;
  if (du)
    *du = 0.0f;
  if (dv)
    *dv = 0.0f;
 
  for (int i = 0; i < num_control; i++) {
    float v = kernel_tex_fetch(__attributes_float, offset + indices[i]);
 
    val += v * weights[i];
    if (du)
      *du += v * weights_du[i];
    if (dv)
      *dv += v * weights_dv[i];
  }
 
  return val;
}
 
ccl_device float2 patch_eval_float2(KernelGlobals *kg,
                                    const ShaderData *sd,
                                    int offset,
                                    int patch,
                                    float u,
                                    float v,
                                    int channel,
                                    float2 *du,
                                    float2 *dv)
{
  int indices[PATCH_MAX_CONTROL_VERTS];
  float weights[PATCH_MAX_CONTROL_VERTS];
  float weights_du[PATCH_MAX_CONTROL_VERTS];
  float weights_dv[PATCH_MAX_CONTROL_VERTS];
 
  int num_control = patch_eval_control_verts(
      kg, sd->object, patch, u, v, channel, indices, weights, weights_du, weights_dv);
 
  float2 val = make_float2(0.0f, 0.0f);
  if (du)
    *du = make_float2(0.0f, 0.0f);
  if (dv)
    *dv = make_float2(0.0f, 0.0f);
 
  for (int i = 0; i < num_control; i++) {
    float2 v = kernel_tex_fetch(__attributes_float2, offset + indices[i]);
 
    val += v * weights[i];
    if (du)
      *du += v * weights_du[i];
    if (dv)
      *dv += v * weights_dv[i];
  }
 
  return val;
}
 
ccl_device float3 patch_eval_float3(KernelGlobals *kg,
                                    const ShaderData *sd,
                                    int offset,
                                    int patch,
                                    float u,
                                    float v,
                                    int channel,
                                    float3 *du,
                                    float3 *dv)
{
  int indices[PATCH_MAX_CONTROL_VERTS];
  float weights[PATCH_MAX_CONTROL_VERTS];
  float weights_du[PATCH_MAX_CONTROL_VERTS];
  float weights_dv[PATCH_MAX_CONTROL_VERTS];
 
  int num_control = patch_eval_control_verts(
      kg, sd->object, patch, u, v, channel, indices, weights, weights_du, weights_dv);
 
  float3 val = make_float3(0.0f, 0.0f, 0.0f);
  if (du)
    *du = make_float3(0.0f, 0.0f, 0.0f);
  if (dv)
    *dv = make_float3(0.0f, 0.0f, 0.0f);
 
  for (int i = 0; i < num_control; i++) {
    float3 v = float4_to_float3(kernel_tex_fetch(__attributes_float3, offset + indices[i]));
 
    val += v * weights[i];
    if (du)
      *du += v * weights_du[i];
    if (dv)
      *dv += v * weights_dv[i];
  }
 
  return val;
}
 
ccl_device float4 patch_eval_float4(KernelGlobals *kg,
                                    const ShaderData *sd,
                                    int offset,
                                    int patch,
                                    float u,
                                    float v,
                                    int channel,
                                    float4 *du,
                                    float4 *dv)
{
  int indices[PATCH_MAX_CONTROL_VERTS];
  float weights[PATCH_MAX_CONTROL_VERTS];
  float weights_du[PATCH_MAX_CONTROL_VERTS];
  float weights_dv[PATCH_MAX_CONTROL_VERTS];
 
  int num_control = patch_eval_control_verts(
      kg, sd->object, patch, u, v, channel, indices, weights, weights_du, weights_dv);
 
  float4 val = make_float4(0.0f, 0.0f, 0.0f, 0.0f);
  if (du)
    *du = make_float4(0.0f, 0.0f, 0.0f, 0.0f);
  if (dv)
    *dv = make_float4(0.0f, 0.0f, 0.0f, 0.0f);
 
  for (int i = 0; i < num_control; i++) {
    float4 v = kernel_tex_fetch(__attributes_float3, offset + indices[i]);
 
    val += v * weights[i];
    if (du)
      *du += v * weights_du[i];
    if (dv)
      *dv += v * weights_dv[i];
  }
 
  return val;
}
 
ccl_device float4 patch_eval_uchar4(KernelGlobals *kg,
                                    const ShaderData *sd,
                                    int offset,
                                    int patch,
                                    float u,
                                    float v,
                                    int channel,
                                    float4 *du,
                                    float4 *dv)
{
  int indices[PATCH_MAX_CONTROL_VERTS];
  float weights[PATCH_MAX_CONTROL_VERTS];
  float weights_du[PATCH_MAX_CONTROL_VERTS];
  float weights_dv[PATCH_MAX_CONTROL_VERTS];
 
  int num_control = patch_eval_control_verts(
      kg, sd->object, patch, u, v, channel, indices, weights, weights_du, weights_dv);
 
  float4 val = make_float4(0.0f, 0.0f, 0.0f, 0.0f);
  if (du)
    *du = make_float4(0.0f, 0.0f, 0.0f, 0.0f);
  if (dv)
    *dv = make_float4(0.0f, 0.0f, 0.0f, 0.0f);
 
  for (int i = 0; i < num_control; i++) {
    float4 v = color_srgb_to_linear_v4(
        color_uchar4_to_float4(kernel_tex_fetch(__attributes_uchar4, offset + indices[i])));
 
    val += v * weights[i];
    if (du)
      *du += v * weights_du[i];
    if (dv)
      *dv += v * weights_dv[i];
  }
 
  return val;
}
 
CCL_NAMESPACE_END