Removed unused force arguments for angular bending springs and avoid
redundant calculation for counterforces.
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173bdfe05e
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@ -1672,18 +1672,16 @@ BLI_INLINE void spring_grad_dir(Implicit_Data *data, int i, int j, float edge[3]
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BLI_INLINE void spring_angbend_forces(Implicit_Data *data, int i, int j, int k,
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const float goal[3],
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float stiffness, float damping,
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int p, int q, const float dx[3], const float dv[3],
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int q, const float dx[3], const float dv[3],
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float r_f[3])
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{
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float edge_ij[3], dir_ij[3];
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float edge_jk[3], dir_jk[3];
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float vel_ij[3], vel_jk[3], vel_ortho[3];
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float f_bend[3], f_damp[3];
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float fi[3], fj[3], fk[3];
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float fk[3];
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float dist[3];
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zero_v3(fi);
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zero_v3(fj);
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zero_v3(fk);
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sub_v3_v3v3(edge_ij, data->X[j], data->X[i]);
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@ -1708,29 +1706,22 @@ BLI_INLINE void spring_angbend_forces(Implicit_Data *data, int i, int j, int k,
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sub_v3_v3v3(dist, goal, edge_jk);
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mul_v3_v3fl(f_bend, dist, stiffness);
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sub_v3_v3(fj, f_bend);
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add_v3_v3(fk, f_bend);
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/* damping force */
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madd_v3_v3v3fl(vel_ortho, vel_jk, dir_jk, -dot_v3v3(vel_jk, dir_jk));
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mul_v3_v3fl(f_damp, vel_ortho, damping);
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add_v3_v3(fj, f_damp);
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sub_v3_v3(fk, f_damp);
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if (p == i)
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copy_v3_v3(r_f, fi);
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else if (p == j)
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copy_v3_v3(r_f, fj);
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else if (p == k)
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copy_v3_v3(r_f, fk);
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copy_v3_v3(r_f, fk);
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}
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/* Finite Differences method for estimating the jacobian of the force */
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BLI_INLINE void spring_angbend_estimate_dfdx(Implicit_Data *data, int i, int j, int k,
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const float goal[3],
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float stiffness, float damping,
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int q, int p, float dfdx[3][3])
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int q, float dfdx[3][3])
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{
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const float delta = 0.00001f; // TODO find a good heuristic for this
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float dvec_null[3][3], dvec_pos[3][3], dvec_neg[3][3];
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@ -1747,11 +1738,11 @@ BLI_INLINE void spring_angbend_estimate_dfdx(Implicit_Data *data, int i, int j,
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for (a = 0; a < 3; ++a) {
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping,
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q, p, dvec_pos[a], dvec_null[a], f);
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q, dvec_pos[a], dvec_null[a], f);
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copy_v3_v3(dfdx[a], f);
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping,
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q, p, dvec_neg[a], dvec_null[a], f);
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q, dvec_neg[a], dvec_null[a], f);
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sub_v3_v3(dfdx[a], f);
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for (b = 0; b < 3; ++b) {
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@ -1764,7 +1755,7 @@ BLI_INLINE void spring_angbend_estimate_dfdx(Implicit_Data *data, int i, int j,
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BLI_INLINE void spring_angbend_estimate_dfdv(Implicit_Data *data, int i, int j, int k,
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const float goal[3],
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float stiffness, float damping,
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int q, int p, float dfdv[3][3])
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int q, float dfdv[3][3])
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{
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const float delta = 0.00001f; // TODO find a good heuristic for this
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float dvec_null[3][3], dvec_pos[3][3], dvec_neg[3][3];
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@ -1781,11 +1772,11 @@ BLI_INLINE void spring_angbend_estimate_dfdv(Implicit_Data *data, int i, int j,
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for (a = 0; a < 3; ++a) {
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping,
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q, p, dvec_null[a], dvec_pos[a], f);
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q, dvec_null[a], dvec_pos[a], f);
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copy_v3_v3(dfdv[a], f);
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping,
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q, p, dvec_null[a], dvec_neg[a], f);
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q, dvec_null[a], dvec_neg[a], f);
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sub_v3_v3(dfdv[a], f);
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for (b = 0; b < 3; ++b) {
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@ -1801,38 +1792,33 @@ bool BPH_mass_spring_force_spring_bending_angular(Implicit_Data *data, int i, in
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const float target[3], float stiffness, float damping)
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{
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float goal[3];
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float fi[3], fj[3], fk[3];
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float dfi_dxi[3][3], dfj_dxi[3][3], dfj_dxj[3][3], dfk_dxi[3][3], dfk_dxj[3][3], dfk_dxk[3][3];
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float dfi_dvi[3][3], dfj_dvi[3][3], dfj_dvj[3][3], dfk_dvi[3][3], dfk_dvj[3][3], dfk_dvk[3][3];
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float fj[3], fk[3];
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float dfj_dxi[3][3], dfj_dxj[3][3], dfk_dxi[3][3], dfk_dxj[3][3], dfk_dxk[3][3];
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float dfj_dvi[3][3], dfj_dvj[3][3], dfk_dvi[3][3], dfk_dvj[3][3], dfk_dvk[3][3];
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const float vecnull[3] = {0.0f, 0.0f, 0.0f};
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world_to_root_v3(data, j, goal, target);
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping, i, -1, vecnull, vecnull, fi);
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping, j, -1, vecnull, vecnull, fj);
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping, k, -1, vecnull, vecnull, fk);
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spring_angbend_forces(data, i, j, k, goal, stiffness, damping, k, vecnull, vecnull, fk);
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negate_v3_v3(fj, fk); /* counterforce */
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, i, i, dfi_dxi);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, j, i, dfj_dxi);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, j, j, dfj_dxj);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, k, i, dfk_dxi);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, k, j, dfk_dxj);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, k, k, dfk_dxk);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, i, dfk_dxi);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, j, dfk_dxj);
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spring_angbend_estimate_dfdx(data, i, j, k, goal, stiffness, damping, k, dfk_dxk);
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copy_m3_m3(dfj_dxi, dfk_dxi); negate_m3(dfj_dxi);
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copy_m3_m3(dfj_dxj, dfk_dxj); negate_m3(dfj_dxj);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, i, i, dfi_dvi);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, j, i, dfj_dvi);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, j, j, dfj_dvj);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, k, i, dfk_dvi);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, k, j, dfk_dvj);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, k, k, dfk_dvk);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, i, dfk_dvi);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, j, dfk_dvj);
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spring_angbend_estimate_dfdv(data, i, j, k, goal, stiffness, damping, k, dfk_dvk);
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copy_m3_m3(dfj_dvi, dfk_dvi); negate_m3(dfj_dvi);
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copy_m3_m3(dfj_dvj, dfk_dvj); negate_m3(dfj_dvj);
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/* add forces and jacobians to the solver data */
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add_v3_v3(data->F[i], fi);
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add_v3_v3(data->F[j], fj);
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add_v3_v3(data->F[k], fk);
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add_m3_m3m3(data->dFdX[i].m, data->dFdX[i].m, dfi_dxi);
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add_m3_m3m3(data->dFdX[j].m, data->dFdX[j].m, dfj_dxj);
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add_m3_m3m3(data->dFdX[k].m, data->dFdX[k].m, dfk_dxk);
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@ -1840,7 +1826,6 @@ bool BPH_mass_spring_force_spring_bending_angular(Implicit_Data *data, int i, in
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add_m3_m3m3(data->dFdX[block_jk].m, data->dFdX[block_jk].m, dfk_dxj);
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add_m3_m3m3(data->dFdX[block_ik].m, data->dFdX[block_ik].m, dfk_dxi);
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add_m3_m3m3(data->dFdV[i].m, data->dFdV[i].m, dfi_dvi);
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add_m3_m3m3(data->dFdV[j].m, data->dFdV[j].m, dfj_dvj);
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add_m3_m3m3(data->dFdV[k].m, data->dFdV[k].m, dfk_dvk);
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