bsdf_hair.h

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/*
 * Adapted from Open Shading Language with this license:
 *
 * Copyright (c) 2009-2010 Sony Pictures Imageworks Inc., et al.
 * All Rights Reserved.
 *
 * Modifications Copyright 2011, Blender Foundation.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions are
 * met:
 * * Redistributions of source code must retain the above copyright
 *   notice, this list of conditions and the following disclaimer.
 * * Redistributions in binary form must reproduce the above copyright
 *   notice, this list of conditions and the following disclaimer in the
 *   documentation and/or other materials provided with the distribution.
 * * Neither the name of Sony Pictures Imageworks nor the names of its
 *   contributors may be used to endorse or promote products derived from
 *   this software without specific prior written permission.
 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */
 
#ifndef __BSDF_HAIR_H__
#define __BSDF_HAIR_H__
 
CCL_NAMESPACE_BEGIN
 
typedef ccl_addr_space struct HairBsdf {
  SHADER_CLOSURE_BASE;
 
  float3 T;
  float roughness1;
  float roughness2;
  float offset;
} HairBsdf;
 
static_assert(sizeof(ShaderClosure) >= sizeof(HairBsdf), "HairBsdf is too large!");
 
ccl_device int bsdf_hair_reflection_setup(HairBsdf *bsdf)
{
  bsdf->type = CLOSURE_BSDF_HAIR_REFLECTION_ID;
  bsdf->roughness1 = clamp(bsdf->roughness1, 0.001f, 1.0f);
  bsdf->roughness2 = clamp(bsdf->roughness2, 0.001f, 1.0f);
  return SD_BSDF | SD_BSDF_HAS_EVAL;
}
 
ccl_device int bsdf_hair_transmission_setup(HairBsdf *bsdf)
{
  bsdf->type = CLOSURE_BSDF_HAIR_TRANSMISSION_ID;
  bsdf->roughness1 = clamp(bsdf->roughness1, 0.001f, 1.0f);
  bsdf->roughness2 = clamp(bsdf->roughness2, 0.001f, 1.0f);
  return SD_BSDF | SD_BSDF_HAS_EVAL;
}
 
ccl_device bool bsdf_hair_merge(const ShaderClosure *a, const ShaderClosure *b)
{
  const HairBsdf *bsdf_a = (const HairBsdf *)a;
  const HairBsdf *bsdf_b = (const HairBsdf *)b;
 
  return (isequal_float3(bsdf_a->T, bsdf_b->T)) && (bsdf_a->roughness1 == bsdf_b->roughness1) &&
         (bsdf_a->roughness2 == bsdf_b->roughness2) && (bsdf_a->offset == bsdf_b->offset);
}
 
ccl_device float3 bsdf_hair_reflection_eval_reflect(const ShaderClosure *sc,
                                                    const float3 I,
                                                    const float3 omega_in,
                                                    float *pdf)
{
  const HairBsdf *bsdf = (const HairBsdf *)sc;
  float offset = bsdf->offset;
  float3 Tg = bsdf->T;
  float roughness1 = bsdf->roughness1;
  float roughness2 = bsdf->roughness2;
 
  float Iz = dot(Tg, I);
  float3 locy = normalize(I - Tg * Iz);
 
  float theta_r = M_PI_2_F - fast_acosf(Iz);
 
  float omega_in_z = dot(Tg, omega_in);
  float3 omega_in_y = normalize(omega_in - Tg * omega_in_z);
 
  float theta_i = M_PI_2_F - fast_acosf(omega_in_z);
  float cosphi_i = dot(omega_in_y, locy);
 
  if (M_PI_2_F - fabsf(theta_i) < 0.001f || cosphi_i < 0.0f) {
    *pdf = 0.0f;
    return make_float3(*pdf, *pdf, *pdf);
  }
 
  float roughness1_inv = 1.0f / roughness1;
  float roughness2_inv = 1.0f / roughness2;
  float phi_i = fast_acosf(cosphi_i) * roughness2_inv;
  phi_i = fabsf(phi_i) < M_PI_F ? phi_i : M_PI_F;
  float costheta_i = fast_cosf(theta_i);
 
  float a_R = fast_atan2f(((M_PI_2_F + theta_r) * 0.5f - offset) * roughness1_inv, 1.0f);
  float b_R = fast_atan2f(((-M_PI_2_F + theta_r) * 0.5f - offset) * roughness1_inv, 1.0f);
 
  float theta_h = (theta_i + theta_r) * 0.5f;
  float t = theta_h - offset;
 
  float phi_pdf = fast_cosf(phi_i * 0.5f) * 0.25f * roughness2_inv;
  float theta_pdf = roughness1 /
                    (2 * (t * t + roughness1 * roughness1) * (a_R - b_R) * costheta_i);
  *pdf = phi_pdf * theta_pdf;
 
  return make_float3(*pdf, *pdf, *pdf);
}
 
ccl_device float3 bsdf_hair_transmission_eval_reflect(const ShaderClosure *sc,
                                                      const float3 I,
                                                      const float3 omega_in,
                                                      float *pdf)
{
  return make_float3(0.0f, 0.0f, 0.0f);
}
 
ccl_device float3 bsdf_hair_reflection_eval_transmit(const ShaderClosure *sc,
                                                     const float3 I,
                                                     const float3 omega_in,
                                                     float *pdf)
{
  return make_float3(0.0f, 0.0f, 0.0f);
}
 
ccl_device float3 bsdf_hair_transmission_eval_transmit(const ShaderClosure *sc,
                                                       const float3 I,
                                                       const float3 omega_in,
                                                       float *pdf)
{
  const HairBsdf *bsdf = (const HairBsdf *)sc;
  float offset = bsdf->offset;
  float3 Tg = bsdf->T;
  float roughness1 = bsdf->roughness1;
  float roughness2 = bsdf->roughness2;
  float Iz = dot(Tg, I);
  float3 locy = normalize(I - Tg * Iz);
 
  float theta_r = M_PI_2_F - fast_acosf(Iz);
 
  float omega_in_z = dot(Tg, omega_in);
  float3 omega_in_y = normalize(omega_in - Tg * omega_in_z);
 
  float theta_i = M_PI_2_F - fast_acosf(omega_in_z);
  float phi_i = fast_acosf(dot(omega_in_y, locy));
 
  if (M_PI_2_F - fabsf(theta_i) < 0.001f) {
    *pdf = 0.0f;
    return make_float3(*pdf, *pdf, *pdf);
  }
 
  float costheta_i = fast_cosf(theta_i);
 
  float roughness1_inv = 1.0f / roughness1;
  float a_TT = fast_atan2f(((M_PI_2_F + theta_r) / 2 - offset) * roughness1_inv, 1.0f);
  float b_TT = fast_atan2f(((-M_PI_2_F + theta_r) / 2 - offset) * roughness1_inv, 1.0f);
  float c_TT = 2 * fast_atan2f(M_PI_2_F / roughness2, 1.0f);
 
  float theta_h = (theta_i + theta_r) / 2;
  float t = theta_h - offset;
  float phi = fabsf(phi_i);
 
  float p = M_PI_F - phi;
  float theta_pdf = roughness1 /
                    (2 * (t * t + roughness1 * roughness1) * (a_TT - b_TT) * costheta_i);
  float phi_pdf = roughness2 / (c_TT * (p * p + roughness2 * roughness2));
 
  *pdf = phi_pdf * theta_pdf;
  return make_float3(*pdf, *pdf, *pdf);
}
 
ccl_device int bsdf_hair_reflection_sample(const ShaderClosure *sc,
                                           float3 Ng,
                                           float3 I,
                                           float3 dIdx,
                                           float3 dIdy,
                                           float randu,
                                           float randv,
                                           float3 *eval,
                                           float3 *omega_in,
                                           float3 *domega_in_dx,
                                           float3 *domega_in_dy,
                                           float *pdf)
{
  const HairBsdf *bsdf = (const HairBsdf *)sc;
  float offset = bsdf->offset;
  float3 Tg = bsdf->T;
  float roughness1 = bsdf->roughness1;
  float roughness2 = bsdf->roughness2;
  float Iz = dot(Tg, I);
  float3 locy = normalize(I - Tg * Iz);
  float3 locx = cross(locy, Tg);
  float theta_r = M_PI_2_F - fast_acosf(Iz);
 
  float roughness1_inv = 1.0f / roughness1;
  float a_R = fast_atan2f(((M_PI_2_F + theta_r) * 0.5f - offset) * roughness1_inv, 1.0f);
  float b_R = fast_atan2f(((-M_PI_2_F + theta_r) * 0.5f - offset) * roughness1_inv, 1.0f);
 
  float t = roughness1 * tanf(randu * (a_R - b_R) + b_R);
 
  float theta_h = t + offset;
  float theta_i = 2 * theta_h - theta_r;
 
  float costheta_i, sintheta_i;
  fast_sincosf(theta_i, &sintheta_i, &costheta_i);
 
  float phi = 2 * safe_asinf(1 - 2 * randv) * roughness2;
 
  float phi_pdf = fast_cosf(phi * 0.5f) * 0.25f / roughness2;
 
  float theta_pdf = roughness1 /
                    (2 * (t * t + roughness1 * roughness1) * (a_R - b_R) * costheta_i);
 
  float sinphi, cosphi;
  fast_sincosf(phi, &sinphi, &cosphi);
  *omega_in = (cosphi * costheta_i) * locy - (sinphi * costheta_i) * locx + (sintheta_i)*Tg;
 
  // differentials - TODO: find a better approximation for the reflective bounce
#ifdef __RAY_DIFFERENTIALS__
  *domega_in_dx = 2 * dot(locy, dIdx) * locy - dIdx;
  *domega_in_dy = 2 * dot(locy, dIdy) * locy - dIdy;
#endif
 
  *pdf = fabsf(phi_pdf * theta_pdf);
  if (M_PI_2_F - fabsf(theta_i) < 0.001f)
    *pdf = 0.0f;
 
  *eval = make_float3(*pdf, *pdf, *pdf);
 
  return LABEL_REFLECT | LABEL_GLOSSY;
}
 
ccl_device int bsdf_hair_transmission_sample(const ShaderClosure *sc,
                                             float3 Ng,
                                             float3 I,
                                             float3 dIdx,
                                             float3 dIdy,
                                             float randu,
                                             float randv,
                                             float3 *eval,
                                             float3 *omega_in,
                                             float3 *domega_in_dx,
                                             float3 *domega_in_dy,
                                             float *pdf)
{
  const HairBsdf *bsdf = (const HairBsdf *)sc;
  float offset = bsdf->offset;
  float3 Tg = bsdf->T;
  float roughness1 = bsdf->roughness1;
  float roughness2 = bsdf->roughness2;
  float Iz = dot(Tg, I);
  float3 locy = normalize(I - Tg * Iz);
  float3 locx = cross(locy, Tg);
  float theta_r = M_PI_2_F - fast_acosf(Iz);
 
  float roughness1_inv = 1.0f / roughness1;
  float a_TT = fast_atan2f(((M_PI_2_F + theta_r) / 2 - offset) * roughness1_inv, 1.0f);
  float b_TT = fast_atan2f(((-M_PI_2_F + theta_r) / 2 - offset) * roughness1_inv, 1.0f);
  float c_TT = 2 * fast_atan2f(M_PI_2_F / roughness2, 1.0f);
 
  float t = roughness1 * tanf(randu * (a_TT - b_TT) + b_TT);
 
  float theta_h = t + offset;
  float theta_i = 2 * theta_h - theta_r;
 
  float costheta_i, sintheta_i;
  fast_sincosf(theta_i, &sintheta_i, &costheta_i);
 
  float p = roughness2 * tanf(c_TT * (randv - 0.5f));
  float phi = p + M_PI_F;
  float theta_pdf = roughness1 /
                    (2 * (t * t + roughness1 * roughness1) * (a_TT - b_TT) * costheta_i);
  float phi_pdf = roughness2 / (c_TT * (p * p + roughness2 * roughness2));
 
  float sinphi, cosphi;
  fast_sincosf(phi, &sinphi, &cosphi);
  *omega_in = (cosphi * costheta_i) * locy - (sinphi * costheta_i) * locx + (sintheta_i)*Tg;
 
  // differentials - TODO: find a better approximation for the transmission bounce
#ifdef __RAY_DIFFERENTIALS__
  *domega_in_dx = 2 * dot(locy, dIdx) * locy - dIdx;
  *domega_in_dy = 2 * dot(locy, dIdy) * locy - dIdy;
#endif
 
  *pdf = fabsf(phi_pdf * theta_pdf);
  if (M_PI_2_F - fabsf(theta_i) < 0.001f) {
    *pdf = 0.0f;
  }
 
  *eval = make_float3(*pdf, *pdf, *pdf);
 
  /* TODO(sergey): Should always be negative, but seems some precision issue
   * is involved here.
   */
  kernel_assert(dot(locy, *omega_in) < 1e-4f);
 
  return LABEL_TRANSMIT | LABEL_GLOSSY;
}
 
CCL_NAMESPACE_END
 
#endif /* __BSDF_HAIR_H__ */