c1bc70b711
A lot of files were missing copyright field in the header and
the Blender Foundation contributed to them in a sense of bug
fixing and general maintenance.
This change makes it explicit that those files are at least
partially copyrighted by the Blender Foundation.
Note that this does not make it so the Blender Foundation is
the only holder of the copyright in those files, and developers
who do not have a signed contract with the foundation still
hold the copyright as well.
Another aspect of this change is using SPDX format for the
header. We already used it for the license specification,
and now we state it for the copyright as well, following the
FAQ:
https://reuse.software/faq/
201 lines
7.6 KiB
C
201 lines
7.6 KiB
C
/* SPDX-FileCopyrightText: Blender Foundation
|
|
*
|
|
* SPDX-License-Identifier: GPL-2.0-or-later */
|
|
|
|
/** \file
|
|
* \ingroup bke
|
|
*/
|
|
|
|
#include "BKE_kelvinlet.h"
|
|
|
|
/* Regularized Kelvinlets: Sculpting Brushes based on Fundamental Solutions of Elasticity
|
|
* Pixar Technical Memo #17-03 */
|
|
|
|
void BKE_kelvinlet_init_params(
|
|
KelvinletParams *params, float radius, float force, float shear_modulus, float poisson_ratio)
|
|
{
|
|
params->a = 1.0f / (4.0f * (float)M_PI * shear_modulus);
|
|
params->b = params->a / (4.0f * (1.0f - poisson_ratio));
|
|
params->c = 2 * (3.0f * params->a - 2.0f * params->b);
|
|
|
|
/* Used in scale and twist. */
|
|
params->f = force;
|
|
|
|
/* This can be exposed if needed */
|
|
const float radius_e[KELVINLET_MAX_ITERATIONS] = {1.0f, 2.0f, 2.0f};
|
|
params->radius_scaled[0] = radius * radius_e[0];
|
|
params->radius_scaled[1] = params->radius_scaled[0] * radius_e[1];
|
|
params->radius_scaled[2] = params->radius_scaled[1] * radius_e[2];
|
|
}
|
|
|
|
static void init_kelvinlet_grab(float radius_e[3],
|
|
float kelvinlet[3],
|
|
const float radius,
|
|
const KelvinletParams *params,
|
|
const int num_iterations)
|
|
{
|
|
const float a = params->a;
|
|
const float b = params->b;
|
|
const float *radius_scaled = params->radius_scaled;
|
|
|
|
for (int i = 0; i < num_iterations; i++) {
|
|
radius_e[i] = sqrtf(pow2f(radius) + pow2f(params->radius_scaled[i]));
|
|
}
|
|
|
|
/* Regularized Kelvinlets: Formula (6) */
|
|
for (int i = 0; i < num_iterations; i++) {
|
|
kelvinlet[i] = ((a - b) / radius_e[i]) + ((b * pow2f(radius)) / pow3f(radius_e[i])) +
|
|
((a * pow2f(radius_scaled[i])) / (2.0f * pow3f(radius_e[i])));
|
|
}
|
|
}
|
|
|
|
void BKE_kelvinlet_grab(float radius_elem_disp[3],
|
|
const KelvinletParams *params,
|
|
const float elem_orig_co[3],
|
|
const float brush_location[3],
|
|
const float brush_delta[3])
|
|
{
|
|
float radius_e[3], kelvinlet[3];
|
|
const float c = params->c;
|
|
const float radius = len_v3v3(brush_location, elem_orig_co);
|
|
|
|
init_kelvinlet_grab(radius_e, kelvinlet, radius, params, 1);
|
|
|
|
const float fade = kelvinlet[0] * c;
|
|
|
|
mul_v3_v3fl(radius_elem_disp, brush_delta, fade);
|
|
}
|
|
|
|
void BKE_kelvinlet_grab_biscale(float radius_elem_disp[3],
|
|
const KelvinletParams *params,
|
|
const float elem_orig_co[3],
|
|
const float brush_location[3],
|
|
const float brush_delta[3])
|
|
{
|
|
float radius_e[3], kelvinlet[3];
|
|
const float c = params->c;
|
|
const float *radius_scaled = params->radius_scaled;
|
|
float radius = len_v3v3(brush_location, elem_orig_co);
|
|
|
|
init_kelvinlet_grab(radius_e, kelvinlet, radius, params, 2);
|
|
|
|
const float u = kelvinlet[0] - kelvinlet[1];
|
|
const float fade = u * c / ((1.0f / radius_scaled[0]) - (1.0f / radius_scaled[1]));
|
|
|
|
mul_v3_v3fl(radius_elem_disp, brush_delta, fade);
|
|
}
|
|
|
|
void BKE_kelvinlet_grab_triscale(float radius_elem_disp[3],
|
|
const KelvinletParams *params,
|
|
const float elem_orig_co[3],
|
|
const float brush_location[3],
|
|
const float brush_delta[3])
|
|
{
|
|
float radius_e[3], kelvinlet[3], weights[3];
|
|
const float c = params->c;
|
|
const float *radius_scaled = params->radius_scaled;
|
|
const float radius = len_v3v3(brush_location, elem_orig_co);
|
|
|
|
init_kelvinlet_grab(radius_e, kelvinlet, radius, params, 3);
|
|
|
|
weights[0] = 1.0f;
|
|
weights[1] = -((pow2f(radius_scaled[2]) - pow2f(radius_scaled[0])) /
|
|
(pow2f(radius_scaled[2]) - pow2f(radius_scaled[1])));
|
|
weights[2] = ((pow2f(radius_scaled[1]) - pow2f(radius_scaled[0])) /
|
|
(pow2f(radius_scaled[2]) - pow2f(radius_scaled[1])));
|
|
|
|
const float u = weights[0] * kelvinlet[0] + weights[1] * kelvinlet[1] +
|
|
weights[2] * kelvinlet[2];
|
|
const float fade = u * c /
|
|
(weights[0] / radius_scaled[0] + weights[1] / radius_scaled[1] +
|
|
weights[2] / radius_scaled[2]);
|
|
|
|
mul_v3_v3fl(radius_elem_disp, brush_delta, fade);
|
|
}
|
|
|
|
typedef void (*kelvinlet_fn)(
|
|
float[3], const float *, const float *, const float *, const KelvinletParams *);
|
|
|
|
static void sculpt_kelvinet_integrate(kelvinlet_fn kelvinlet,
|
|
float r_disp[3],
|
|
const float vertex_co[3],
|
|
const float location[3],
|
|
const float normal[3],
|
|
const KelvinletParams *p)
|
|
{
|
|
float k[4][3], k_it[4][3];
|
|
kelvinlet(k[0], vertex_co, location, normal, p);
|
|
copy_v3_v3(k_it[0], k[0]);
|
|
mul_v3_fl(k_it[0], 0.5f);
|
|
add_v3_v3v3(k_it[0], vertex_co, k_it[0]);
|
|
kelvinlet(k[1], k_it[0], location, normal, p);
|
|
copy_v3_v3(k_it[1], k[1]);
|
|
mul_v3_fl(k_it[1], 0.5f);
|
|
add_v3_v3v3(k_it[1], vertex_co, k_it[1]);
|
|
kelvinlet(k[2], k_it[1], location, normal, p);
|
|
copy_v3_v3(k_it[2], k[2]);
|
|
add_v3_v3v3(k_it[2], vertex_co, k_it[2]);
|
|
sub_v3_v3v3(k_it[2], k_it[2], location);
|
|
kelvinlet(k[3], k_it[2], location, normal, p);
|
|
copy_v3_v3(r_disp, k[0]);
|
|
madd_v3_v3fl(r_disp, k[1], 2.0f);
|
|
madd_v3_v3fl(r_disp, k[2], 2.0f);
|
|
add_v3_v3(r_disp, k[3]);
|
|
mul_v3_fl(r_disp, 1.0f / 6.0f);
|
|
}
|
|
|
|
/* Regularized Kelvinlets: Formula (16) */
|
|
static void kelvinlet_scale(float disp[3],
|
|
const float vertex_co[3],
|
|
const float location[3],
|
|
const float UNUSED(normal[3]),
|
|
const KelvinletParams *p)
|
|
{
|
|
float radius_vertex[3];
|
|
sub_v3_v3v3(radius_vertex, vertex_co, location);
|
|
const float radius = len_v3(radius_vertex);
|
|
const float radius_e = sqrtf(pow2f(radius) + pow2f(p->radius_scaled[0]));
|
|
const float u = (2.0f * p->b - p->a) * (1.0f / pow3f(radius_e)) +
|
|
((3.0f * pow2f(p->radius_scaled[0])) / (2.0f * pow5f(radius_e)));
|
|
const float fade = u * p->c;
|
|
mul_v3_v3fl(disp, radius_vertex, fade * p->f);
|
|
}
|
|
|
|
void BKE_kelvinlet_scale(float radius_elem_disp[3],
|
|
const KelvinletParams *params,
|
|
const float elem_orig_co[3],
|
|
const float brush_location[3],
|
|
const float surface_normal[3])
|
|
{
|
|
sculpt_kelvinet_integrate(
|
|
kelvinlet_scale, radius_elem_disp, elem_orig_co, brush_location, surface_normal, params);
|
|
}
|
|
|
|
/* Regularized Kelvinlets: Formula (15) */
|
|
static void kelvinlet_twist(float disp[3],
|
|
const float vertex_co[3],
|
|
const float location[3],
|
|
const float normal[3],
|
|
const KelvinletParams *p)
|
|
{
|
|
float radius_vertex[3], q_r[3];
|
|
sub_v3_v3v3(radius_vertex, vertex_co, location);
|
|
const float radius = len_v3(radius_vertex);
|
|
const float radius_e = sqrtf(pow2f(radius) + pow2f(p->radius_scaled[0]));
|
|
const float u = -p->a * (1.0f / pow3f(radius_e)) +
|
|
((3.0f * pow2f(p->radius_scaled[0])) / (2.0f * pow5f(radius_e)));
|
|
const float fade = u * p->c;
|
|
cross_v3_v3v3(q_r, normal, radius_vertex);
|
|
mul_v3_v3fl(disp, q_r, fade * p->f);
|
|
}
|
|
|
|
void BKE_kelvinlet_twist(float radius_elem_disp[3],
|
|
const KelvinletParams *params,
|
|
const float elem_orig_co[3],
|
|
const float brush_location[3],
|
|
const float surface_normal[3])
|
|
{
|
|
sculpt_kelvinet_integrate(
|
|
kelvinlet_twist, radius_elem_disp, elem_orig_co, brush_location, surface_normal, params);
|
|
}
|