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329ed193acb7e22ec51a4883ef87b03d484292ad
Mujoco_WASM/src/engine/engine_support.c
T
Saran Tunyasuvunakool 329ed193ac Disallow variable-length arrays and turn on -Wpedantic in Clang and GCC. 
PiperOrigin-RevId: 562832747
Change-Id: I0532624cee31e089a47426305d885687eb0fc5c5
2023-09-05 11:05:04 -07:00

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// Copyright 2021 DeepMind Technologies Limited
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
#include "engine/engine_support.h"
#include <stddef.h>
#include <stdint.h>
#include <string.h>
#include <mujoco/mjdata.h>
#include <mujoco/mjmacro.h>
#include <mujoco/mjmodel.h>
#include "engine/engine_core_constraint.h"
#include "engine/engine_crossplatform.h"
#include "engine/engine_io.h"
#include "engine/engine_util_blas.h"
#include "engine/engine_util_errmem.h"
#include "engine/engine_util_misc.h"
#include "engine/engine_util_sparse.h"
#include "engine/engine_util_spatial.h"
#ifdef mjUSEPLATFORMSIMD
#if defined(__AVX__) && defined(mjUSEDOUBLE)
#define mjUSEAVX
#include "immintrin.h"
#endif
#endif
//-------------------------- Constants -------------------------------------------------------------
#define mjVERSION 238
#define mjVERSIONSTRING "2.3.8"
// names of disable flags
const char* mjDISABLESTRING[mjNDISABLE] = {
"Constraint",
"Equality",
"Frictionloss",
"Limit",
"Contact",
"Passive",
"Gravity",
"Clampctrl",
"Warmstart",
"Filterparent",
"Actuation",
"Refsafe",
"Sensor",
"Midphase",
"Eulerdamp"
};
// names of enable flags
const char* mjENABLESTRING[mjNENABLE] = {
"Override",
"Energy",
"Fwdinv",
"Sensornoise",
"InvDiscrete",
"MultiCCD",
"Island"
};
// names of timers
const char* mjTIMERSTRING[mjNTIMER]= {
"step",
"forward",
"inverse",
"position",
"velocity",
"actuation",
"acceleration",
"constraint",
"pos_kinematics",
"pos_inertia",
"pos_collision",
"pos_make",
"pos_project"
};
//-------------------------- get/set state ---------------------------------------------------------
// return size of a single state element
static inline int mj_stateElemSize(const mjModel* m, mjtState spec) {
switch (spec) {
case mjSTATE_TIME: return 1;
case mjSTATE_QPOS: return m->nq;
case mjSTATE_QVEL: return m->nv;
case mjSTATE_ACT: return m->na;
case mjSTATE_WARMSTART: return m->nv;
case mjSTATE_CTRL: return m->nu;
case mjSTATE_QFRC_APPLIED: return m->nv;
case mjSTATE_XFRC_APPLIED: return 6*m->nbody;
case mjSTATE_MOCAP_POS: return 3*m->nmocap;
case mjSTATE_MOCAP_QUAT: return 4*m->nmocap;
case mjSTATE_USERDATA: return m->nuserdata;
case mjSTATE_PLUGIN: return m->npluginstate;
default:
mjERROR("invalid state element %u", spec);
return 0;
}
}
// return pointer to a single state element
static inline mjtNum* mj_stateElemPtr(const mjModel* m, mjData* d, mjtState spec) {
switch (spec) {
case mjSTATE_TIME: return &d->time;
case mjSTATE_QPOS: return d->qpos;
case mjSTATE_QVEL: return d->qvel;
case mjSTATE_ACT: return d->act;
case mjSTATE_WARMSTART: return d->qacc_warmstart;
case mjSTATE_CTRL: return d->ctrl;
case mjSTATE_QFRC_APPLIED: return d->qfrc_applied;
case mjSTATE_XFRC_APPLIED: return d->xfrc_applied;
case mjSTATE_MOCAP_POS: return d->mocap_pos;
case mjSTATE_MOCAP_QUAT: return d->mocap_quat;
case mjSTATE_USERDATA: return d->userdata;
case mjSTATE_PLUGIN: return d->plugin_state;
default:
mjERROR("invalid state element %u", spec);
return NULL;
}
}
static inline const mjtNum* mj_stateElemConstPtr(const mjModel* m, const mjData* d, mjtState spec) {
return mj_stateElemPtr(m, (mjData*) d, spec); // discard const qualifier from d
}
// get size of state specification
int mj_stateSize(const mjModel* m, unsigned int spec) {
if (spec >= (1<<mjNSTATE)) {
mjERROR("invalid state spec %u >= 2^mjNSTATE", spec);
}
int size = 0;
for (int i=0; i < mjNSTATE; i++) {
mjtState element = 1<<i;
if (element & spec) {
size += mj_stateElemSize(m, element);
}
}
return size;
}
// get state
void mj_getState(const mjModel* m, const mjData* d, mjtNum* state, unsigned int spec) {
if (spec >= (1<<mjNSTATE)) {
mjERROR("invalid state spec %u >= 2^mjNSTATE", spec);
}
int adr = 0;
for (int i=0; i < mjNSTATE; i++) {
mjtState element = 1<<i;
if (element & spec) {
int size = mj_stateElemSize(m, element);
const mjtNum* ptr = mj_stateElemConstPtr(m, d, element);
mju_copy(state + adr, ptr, size);
adr += size;
}
}
}
// set state
void mj_setState(const mjModel* m, mjData* d, const mjtNum* state, unsigned int spec) {
if (spec >= (1<<mjNSTATE)) {
mjERROR("invalid state spec %u >= 2^mjNSTATE", spec);
}
int adr = 0;
for (int i=0; i < mjNSTATE; i++) {
mjtState element = 1<<i;
if (element & spec) {
int size = mj_stateElemSize(m, element);
mjtNum* ptr = mj_stateElemPtr(m, d, element);
mju_copy(ptr, state + adr, size);
adr += size;
}
}
}
//-------------------------- Jacobians -------------------------------------------------------------
// compute 3/6-by-nv Jacobian of global point attached to given body
void mj_jac(const mjModel* m, const mjData* d,
mjtNum* jacp, mjtNum* jacr, const mjtNum point[3], int body) {
int da, nv = m->nv;
mjtNum offset[3], tmp[3], *cdof = d->cdof;
// clear jacobians
if (jacp) {
mju_zero(jacp, 3*nv);
}
if (jacr) {
mju_zero(jacr, 3*nv);
}
// compute point-com offset
mju_sub3(offset, point, d->subtree_com+3*m->body_rootid[body]);
// skip fixed bodies
while (body && !m->body_dofnum[body]) {
body = m->body_parentid[body];
}
// no movable body found: nothing to do
if (!body) {
return;
}
// get last dof that affects this (as well as the original) body
da = m->body_dofadr[body] + m->body_dofnum[body] - 1;
// backward pass over dof ancestor chain
while (da >= 0) {
// construct rotation jacobian
if (jacr) {
jacr[da] = cdof[6*da];
jacr[da+nv] = cdof[6*da+1];
jacr[da+2*nv] = cdof[6*da+2];
}
// construct translation jacobian (correct for rotation)
if (jacp) {
mju_cross(tmp, cdof+6*da, offset);
jacp[da] = cdof[6*da+3] + tmp[0];
jacp[da+nv] = cdof[6*da+4] + tmp[1];
jacp[da+2*nv] = cdof[6*da+5] + tmp[2];
}
// advance to parent dof
da = m->dof_parentid[da];
}
}
// compute body Jacobian
void mj_jacBody(const mjModel* m, const mjData* d, mjtNum* jacp, mjtNum* jacr, int body) {
mj_jac(m, d, jacp, jacr, d->xpos+3*body, body);
}
// compute body-com Jacobian
void mj_jacBodyCom(const mjModel* m, const mjData* d, mjtNum* jacp, mjtNum* jacr, int body) {
mj_jac(m, d, jacp, jacr, d->xipos+3*body, body);
}
// compute subtree-com Jacobian
void mj_jacSubtreeCom(const mjModel* m, mjData* d, mjtNum* jacp, int body) {
int nv = m->nv;
mjMARKSTACK;
mjtNum* jacp_b = mj_stackAllocNum(d, 3*nv);
// clear output
mju_zero(jacp, 3*nv);
// forward pass starting from body
for (int b=body; b < m->nbody; b++) {
// end of body subtree, break from the loop
if (b > body && m->body_parentid[b] < body) {
break;
}
// b is in the body subtree, add mass-weighted Jacobian into jacp
mj_jac(m, d, jacp_b, NULL, d->xipos+3*b, b);
mju_addToScl(jacp, jacp_b, m->body_mass[b], 3*nv);
}
// normalize by subtree mass
mju_scl(jacp, jacp, 1/m->body_subtreemass[body], 3*nv);
mjFREESTACK;
}
// compute geom Jacobian
void mj_jacGeom(const mjModel* m, const mjData* d, mjtNum* jacp, mjtNum* jacr, int geom) {
mj_jac(m, d, jacp, jacr, d->geom_xpos + 3*geom, m->geom_bodyid[geom]);
}
// compute site Jacobian
void mj_jacSite(const mjModel* m, const mjData* d, mjtNum* jacp, mjtNum* jacr, int site) {
mj_jac(m, d, jacp, jacr, d->site_xpos + 3*site, m->site_bodyid[site]);
}
// compute translation Jacobian of point, and rotation Jacobian of axis
void mj_jacPointAxis(const mjModel* m, mjData* d, mjtNum* jacPoint, mjtNum* jacAxis,
const mjtNum point[3], const mjtNum axis[3], int body) {
int nv = m->nv;
// get full Jacobian of point
mjMARKSTACK;
mjtNum* jacp = (jacPoint ? jacPoint : mj_stackAllocNum(d, 3*nv));
mjtNum* jacr = mj_stackAllocNum(d, 3*nv);
mj_jac(m, d, jacp, jacr, point, body);
// jacAxis_col = cross(jacr_col, axis)
if (jacAxis) {
for (int i=0; i < nv; i++) {
jacAxis[ i] = jacr[ nv+i]*axis[2] - jacr[2*nv+i]*axis[1];
jacAxis[ nv+i] = jacr[2*nv+i]*axis[0] - jacr[ i]*axis[2];
jacAxis[2*nv+i] = jacr[ i]*axis[1] - jacr[ nv+i]*axis[0];
}
}
mjFREESTACK;
}
// compute 3/6-by-nv sparse Jacobian of global point attached to given body
void mj_jacSparse(const mjModel* m, const mjData* d,
mjtNum* jacp, mjtNum* jacr, const mjtNum* point, int body,
int NV, int* chain) {
int da, ci;
mjtNum offset[3], tmp[3], *cdof = d->cdof;
// clear jacobians
if (jacp) {
mju_zero(jacp, 3*NV);
}
if (jacr) {
mju_zero(jacr, 3*NV);
}
// compute point-com offset
mju_sub3(offset, point, d->subtree_com+3*m->body_rootid[body]);
// skip fixed bodies
while (body && !m->body_dofnum[body]) {
body = m->body_parentid[body];
}
// no movable body found: nothing to do
if (!body) {
return;
}
// get last dof that affects this (as well as the original) body
da = m->body_dofadr[body] + m->body_dofnum[body] - 1;
// start and the end of the chain (chain is in increasing order)
ci = NV-1;
// backward pass over dof ancestor chain
while (da >= 0) {
// find chain index for this dof
while (ci >= 0 && chain[ci] > da) {
ci--;
}
// make sure we found it; SHOULD NOT OCCUR
if (chain[ci] != da) {
mjERROR("dof index %d not found in chain", da);
}
// construct rotation jacobian
if (jacr) {
jacr[ci] = cdof[6*da];
jacr[ci+NV] = cdof[6*da+1];
jacr[ci+2*NV] = cdof[6*da+2];
}
// construct translation jacobian (correct for rotation)
if (jacp) {
mju_cross(tmp, cdof+6*da, offset);
jacp[ci] = cdof[6*da+3] + tmp[0];
jacp[ci+NV] = cdof[6*da+4] + tmp[1];
jacp[ci+2*NV] = cdof[6*da+5] + tmp[2];
}
// advance to parent dof
da = m->dof_parentid[da];
}
}
// sparse Jacobian difference for simple body contacts
void mj_jacSparseSimple(const mjModel* m, const mjData* d,
mjtNum* jacdifp, mjtNum* jacdifr, const mjtNum* point,
int body, int flg_second, int NV, int start) {
mjtNum offset[3], tmp[3], *cdof = d->cdof;
// compute point-com offset
mju_sub3(offset, point, d->subtree_com+3*m->body_rootid[body]);
// skip fixed body
if (!m->body_dofnum[body]) {
return;
}
// process dofs
int ci = start;
int end = m->body_dofadr[body] + m->body_dofnum[body];
for (int da=m->body_dofadr[body]; da < end; da++) {
// construct rotation jacobian
if (jacdifr) {
// plus sign
if (flg_second) {
jacdifr[ci] = cdof[6*da];
jacdifr[ci+NV] = cdof[6*da+1];
jacdifr[ci+2*NV] = cdof[6*da+2];
}
// minus sign
else {
jacdifr[ci] = -cdof[6*da];
jacdifr[ci+NV] = -cdof[6*da+1];
jacdifr[ci+2*NV] = -cdof[6*da+2];
}
}
// construct translation jacobian (correct for rotation)
if (jacdifp) {
mju_cross(tmp, cdof+6*da, offset);
// plus sign
if (flg_second) {
jacdifp[ci] = (cdof[6*da+3] + tmp[0]);
jacdifp[ci+NV] = (cdof[6*da+4] + tmp[1]);
jacdifp[ci+2*NV] = (cdof[6*da+5] + tmp[2]);
}
// plus sign
else {
jacdifp[ci] = -(cdof[6*da+3] + tmp[0]);
jacdifp[ci+NV] = -(cdof[6*da+4] + tmp[1]);
jacdifp[ci+2*NV] = -(cdof[6*da+5] + tmp[2]);
}
}
// advance jacdif counter
ci++;
}
}
// dense or sparse Jacobian difference for two body points: pos2 - pos1, global
int mj_jacDifPair(const mjModel* m, const mjData* d, int* chain,
int b1, int b2, const mjtNum pos1[3], const mjtNum pos2[3],
mjtNum* jac1p, mjtNum* jac2p, mjtNum* jacdifp,
mjtNum* jac1r, mjtNum* jac2r, mjtNum* jacdifr) {
int issimple = (m->body_simple[b1] && m->body_simple[b2]);
int issparse = mj_isSparse(m);
int NV = m->nv;
// skip if no DOFs
if (!NV) {
return 0;
}
// construct merged chain of body dofs
if (issparse) {
if (issimple) {
NV = mj_mergeChainSimple(m, chain, b1, b2);
} else {
NV = mj_mergeChain(m, chain, b1, b2);
}
}
// skip if empty chain
if (!NV) {
return 0;
}
// sparse case
if (issparse) {
// simple: fast processing
if (issimple) {
// first body
mj_jacSparseSimple(m, d, jacdifp, jacdifr, pos1, b1, 0, NV,
b1 < b2 ? 0 : m->body_dofnum[b2]);
// second body
mj_jacSparseSimple(m, d, jacdifp, jacdifr, pos2, b2, 1, NV,
b2 < b1 ? 0 : m->body_dofnum[b1]);
}
// regular processing
else {
// Jacobians
mj_jacSparse(m, d, jac1p, jac1r, pos1, b1, NV, chain);
mj_jacSparse(m, d, jac2p, jac2r, pos2, b2, NV, chain);
// differences
if (jacdifp) {
mju_sub(jacdifp, jac2p, jac1p, 3*NV);
}
if (jacdifr) {
mju_sub(jacdifr, jac2r, jac1r, 3*NV);
}
}
}
// dense case
else {
// Jacobians
mj_jac(m, d, jac1p, jac1r, pos1, b1);
mj_jac(m, d, jac2p, jac2r, pos2, b2);
// differences
if (jacdifp) {
mju_sub(jacdifp, jac2p, jac1p, 3*NV);
}
if (jacdifr) {
mju_sub(jacdifr, jac2r, jac1r, 3*NV);
}
}
return NV;
}
//-------------------------- name functions --------------------------------------------------------
// get number of objects and name addresses for given object type
static int _getnumadr(const mjModel* m, mjtObj type, int** padr, int* mapadr) {
int num = -1;
// map address starts at the end, subtract with explicit switch fallthrough below
*mapadr = m->nnames_map;
// get address list and size for object type
switch (type) {
case mjOBJ_BODY:
case mjOBJ_XBODY:
*mapadr -= mjLOAD_MULTIPLE*m->nbody;
*padr = m->name_bodyadr;
num = m->nbody;
mjFALLTHROUGH;
case mjOBJ_JOINT:
*mapadr -= mjLOAD_MULTIPLE*m->njnt;
if (num < 0) {
*padr = m->name_jntadr;
num = m->njnt;
}
mjFALLTHROUGH;
case mjOBJ_GEOM:
*mapadr -= mjLOAD_MULTIPLE*m->ngeom;
if (num < 0) {
*padr = m->name_geomadr;
num = m->ngeom;
}
mjFALLTHROUGH;
case mjOBJ_SITE:
*mapadr -= mjLOAD_MULTIPLE*m->nsite;
if (num < 0) {
*padr = m->name_siteadr;
num = m->nsite;
}
mjFALLTHROUGH;
case mjOBJ_CAMERA:
*mapadr -= mjLOAD_MULTIPLE*m->ncam;
if (num < 0) {
*padr = m->name_camadr;
num = m->ncam;
}
mjFALLTHROUGH;
case mjOBJ_LIGHT:
*mapadr -= mjLOAD_MULTIPLE*m->nlight;
if (num < 0) {
*padr = m->name_lightadr;
num = m->nlight;
}
mjFALLTHROUGH;
case mjOBJ_MESH:
*mapadr -= mjLOAD_MULTIPLE*m->nmesh;
if (num < 0) {
*padr = m->name_meshadr;
num = m->nmesh;
}
mjFALLTHROUGH;
case mjOBJ_SKIN:
*mapadr -= mjLOAD_MULTIPLE*m->nskin;
if (num < 0) {
*padr = m->name_skinadr;
num = m->nskin;
}
mjFALLTHROUGH;
case mjOBJ_HFIELD:
*mapadr -= mjLOAD_MULTIPLE*m->nhfield;
if (num < 0) {
*padr = m->name_hfieldadr;
num = m->nhfield;
}
mjFALLTHROUGH;
case mjOBJ_TEXTURE:
*mapadr -= mjLOAD_MULTIPLE*m->ntex;
if (num < 0) {
*padr = m->name_texadr;
num = m->ntex;
}
mjFALLTHROUGH;
case mjOBJ_MATERIAL:
*mapadr -= mjLOAD_MULTIPLE*m->nmat;
if (num < 0) {
*padr = m->name_matadr;
num = m->nmat;
}
mjFALLTHROUGH;
case mjOBJ_PAIR:
*mapadr -= mjLOAD_MULTIPLE*m->npair;
if (num < 0) {
*padr = m->name_pairadr;
num = m->npair;
}
mjFALLTHROUGH;
case mjOBJ_EXCLUDE:
*mapadr -= mjLOAD_MULTIPLE*m->nexclude;
if (num < 0) {
*padr = m->name_excludeadr;
num = m->nexclude;
}
mjFALLTHROUGH;
case mjOBJ_EQUALITY:
*mapadr -= mjLOAD_MULTIPLE*m->neq;
if (num < 0) {
*padr = m->name_eqadr;
num = m->neq;
}
mjFALLTHROUGH;
case mjOBJ_TENDON:
*mapadr -= mjLOAD_MULTIPLE*m->ntendon;
if (num < 0) {
*padr = m->name_tendonadr;
num = m->ntendon;
}
mjFALLTHROUGH;
case mjOBJ_ACTUATOR:
*mapadr -= mjLOAD_MULTIPLE*m->nu;
if (num < 0) {
*padr = m->name_actuatoradr;
num = m->nu;
}
mjFALLTHROUGH;
case mjOBJ_SENSOR:
*mapadr -= mjLOAD_MULTIPLE*m->nsensor;
if (num < 0) {
*padr = m->name_sensoradr;
num = m->nsensor;
}
mjFALLTHROUGH;
case mjOBJ_NUMERIC:
*mapadr -= mjLOAD_MULTIPLE*m->nnumeric;
if (num < 0) {
*padr = m->name_numericadr;
num = m->nnumeric;
}
mjFALLTHROUGH;
case mjOBJ_TEXT:
*mapadr -= mjLOAD_MULTIPLE*m->ntext;
if (num < 0) {
*padr = m->name_textadr;
num = m->ntext;
}
mjFALLTHROUGH;
case mjOBJ_TUPLE:
*mapadr -= mjLOAD_MULTIPLE*m->ntuple;
if (num < 0) {
*padr = m->name_tupleadr;
num = m->ntuple;
}
mjFALLTHROUGH;
case mjOBJ_KEY:
*mapadr -= mjLOAD_MULTIPLE*m->nkey;
if (num < 0) {
*padr = m->name_keyadr;
num = m->nkey;
}
mjFALLTHROUGH;
case mjOBJ_PLUGIN:
*mapadr -= mjLOAD_MULTIPLE*m->nplugin;
if (num < 0) {
*padr = m->name_pluginadr;
num = m->nplugin;
}
mjFALLTHROUGH;
default:
if (num < 0) {
*padr = 0;
num = 0;
}
}
return num;
}
// get string hash, see http://www.cse.yorku.ca/~oz/hash.html
uint64_t mj_hashdjb2(const char* s, uint64_t n) {
uint64_t h = 5381;
int c;
while ((c = *s++)) {
h = ((h << 5) + h) + c;
}
return h % n;
}
// get id of object with the specified mjtObj type and name,
// returns -1 if id not found
int mj_name2id(const mjModel* m, int type, const char* name) {
int mapadr;
int* adr = 0;
// get number of objects and name addresses
int num = mjLOAD_MULTIPLE*_getnumadr(m, type, &adr, &mapadr);
// search
if (num) { // look up at hash address
uint64_t hash = mj_hashdjb2(name, num);
uint64_t i = hash;
do {
int j = m->names_map[mapadr + i];
if (j < 0) {
return -1;
}
if (!strncmp(name, m->names+adr[j], m->nnames-adr[j])) {
return j;
}
if ((++i) == num)i = 0;
} while (i != hash);
}
return -1;
}
// get name of object with the specified mjtObj type and id,
// returns NULL if name not found
const char* mj_id2name(const mjModel* m, int type, int id) {
int mapadr;
int* adr = 0;
// get number of objects and name addresses
int num = _getnumadr(m, type, &adr, &mapadr);
// id is in [0, num) and the found name is not the empty string "\0"
if (id >= 0 && id < num && m->names[adr[id]]) {
return m->names+adr[id];
}
return NULL;
}
//-------------------------- inertia functions -----------------------------------------------------
// convert sparse inertia matrix M into full matrix
void mj_fullM(const mjModel* m, mjtNum* dst, const mjtNum* M) {
int adr = 0, nv = m->nv;
mju_zero(dst, nv*nv);
for (int i=0; i < nv; i++) {
int j = i;
while (j >= 0) {
dst[i*nv+j] = M[adr];
dst[j*nv+i] = M[adr];
j = m->dof_parentid[j];
adr++;
}
}
}
// multiply vector by inertia matrix
void mj_mulM(const mjModel* m, const mjData* d, mjtNum* res, const mjtNum* vec) {
int nv = m->nv;
const mjtNum* M = d->qM;
const int* Madr = m->dof_Madr;
const int* parentid = m->dof_parentid;
const int* simplenum = m->dof_simplenum;
mju_zero(res, nv);
for (int i=0; i < nv; i++) {
#ifdef mjUSEAVX
// simple: diagonal multiplication, AVX
if (simplenum[i] >= 4) {
// init
__m256d result, val1, val2;
// parallel computation
val1 = _mm256_loadu_pd(vec+i);
val2 = _mm256_set_pd(M[Madr[i+3]],
M[Madr[i+2]],
M[Madr[i+1]],
M[Madr[i+0]]);
result = _mm256_mul_pd(val1, val2);
// store result
_mm256_storeu_pd(res+i, result);
// skip rest of block
i += 3;
continue;
}
#endif
// address in M
int adr = Madr[i];
// compute diagonal
res[i] = M[adr]*vec[i];
// simple dof: continue
if (simplenum[i]) {
continue;
}
// compute off-diagonals
int j = parentid[i];
while (j >= 0) {
adr++;
res[i] += M[adr]*vec[j];
res[j] += M[adr]*vec[i];
// advance to parent
j = parentid[j];
}
}
}
// multiply vector by inertia matrix for one dof island
void mj_mulM_island(const mjModel* m, const mjData* d, mjtNum* res, const mjtNum* vec,
int island, int flg_vecunc) {
// if no island, call regular function
if (island < 0) {
mj_mulM(m, d, res, vec);
return;
}
// local constants: general
const mjtNum* M = d->qM;
const int* Madr = m->dof_Madr;
const int* parentid = m->dof_parentid;
const int* simplenum = m->dof_simplenum;
// local constants: island specific
int ndof = d->island_dofnum[island];
const int* dofind = d->island_dofind + d->island_dofadr[island];
const int* islandind = d->dof_islandind;
mju_zero(res, ndof);
for (int k=0; k < ndof; k++) {
// address in full dof vector
int i = dofind[k];
// address in M
int adr = Madr[i];
// diagonal
if (flg_vecunc) {
res[k] = M[adr]*vec[i];
} else {
res[k] = M[adr]*vec[k];
}
// simple dof: continue
if (simplenum[i]) {
continue;
}
// off-diagonal
int j = parentid[i];
while (j >= 0) {
adr++;
int l = islandind[j];
if (flg_vecunc) {
res[k] += M[adr]*vec[j];
res[l] += M[adr]*vec[i];
} else {
res[k] += M[adr]*vec[l];
res[l] += M[adr]*vec[k];
}
// advance to parent
j = parentid[j];
}
}
}
// multiply vector by M^(1/2)
void mj_mulM2(const mjModel* m, const mjData* d, mjtNum* res, const mjtNum* vec) {
int adr, nv = m->nv;
const mjtNum* qLD = d->qLD;
const mjtNum* qLDiagSqrtInv = d->qLDiagSqrtInv;
const int* dofMadr = m->dof_Madr;
mju_zero(res, nv);
for (int i=0; i < nv; i++) {
#ifdef mjUSEAVX
// simple: diagonal division, AVX
if (m->dof_simplenum[i] >= 4) {
// init
__m256d result, val1, val2;
// parallel computation
val1 = _mm256_loadu_pd(vec+i);
val2 = _mm256_set_pd(qLDiagSqrtInv[dofMadr[i+3]],
qLDiagSqrtInv[dofMadr[i+2]],
qLDiagSqrtInv[dofMadr[i+1]],
qLDiagSqrtInv[dofMadr[i+0]]);
result = _mm256_div_pd(val1, val2);
// store result
_mm256_storeu_pd(res+i, result);
// skip rest of block
i += 3;
continue;
}
#endif
// simple: diagonal division
if (m->dof_simplenum[i]) {
res[i] = vec[i]/qLDiagSqrtInv[i];
}
// regular: full multiplication
else {
// diagonal
adr = dofMadr[i];
res[i] += vec[i]/qLDiagSqrtInv[i];
// off-diagonal
int j = m->dof_parentid[i];
adr++;
while (j >= 0) {
res[i] += qLD[adr]*vec[j];
// advance to next element
j = m->dof_parentid[j];
adr++;
}
}
}
}
// add inertia matrix to destination matrix
// destination can be sparse uncompressed, or dense when all int* are NULL
void mj_addM(const mjModel* m, mjData* d, mjtNum* dst,
int* rownnz, int* rowadr, int* colind) {
// sparse
if (rownnz && rowadr && colind) {
int nv = m->nv;
mjMARKSTACK;
// create sparse inertia matrix M
int nnz = m->nD; // use sparse dof-dof matrix
int* M_rownnz = mj_stackAllocInt(d, nv); // actual nnz count
int* M_colind = mj_stackAllocInt(d, nnz);
mjtNum* M = mj_stackAllocNum(d, nnz);
mj_makeMSparse(m, d, M, M_rownnz, NULL, M_colind);
mj_addMSparse(m, d, dst, rownnz, rowadr, colind, M,
M_rownnz, NULL, M_colind);
mjFREESTACK;
}
// dense
else {
mj_addMDense(m, d, dst);
}
}
// make inertia matrix M
void mj_makeMSparse(const mjModel* m, mjData* d, mjtNum* M,
int* M_rownnz, int* M_rowadr, int* M_colind) {
int nv = m->nv;
// currently the sparse dof-dof matrix D row addresses are used, since D has
// the same predetermined sparsity structure as M, however with simple bodies
// M has less non-zeros and can be precounted for further memory reduction
if (M_rowadr == NULL) {
M_rowadr = d->D_rowadr;
}
// build M into sparse format, lower triangle
for (int i = 0; i < nv; i++) {
int Madr = m->dof_Madr[i];
// simple, fill diagonal only
if (m->dof_simplenum[i]) {
M_rownnz[i] = 1;
M[M_rowadr[i]] = d->qM[Madr];
M_colind[M_rowadr[i]] = i;
continue;
}
// backward pass over dofs: construct M_row(i) in reverse order
int col = M_rowadr[i]; // current column in row i
for (int j = i; j >= 0; j = m->dof_parentid[j]) {
M[col] = d->qM[Madr++];
M_colind[col++] = j;
}
// track nnz of lower triangle for row i
int nnz = M_rownnz[i] = col - M_rowadr[i];
// reverse order
int end = nnz >> 1;
for (int j = 0; j < end; j++) {
int a1 = M_rowadr[i] + j; // address 1
int a2 = (M_rowadr[i] + nnz - 1) - j; // address 2
// swap M data on row i
mjtNum val = M[a1];
M[a1] = M[a2];
M[a2] = val;
// swap M column indices on row i
int ind = M_colind[a1];
M_colind[a1] = M_colind[a2];
M_colind[a2] = ind;
}
}
// fill upper triangle
for (int i = 1; i < nv; i++) {
int end = M_rowadr[i] + M_rownnz[i] - 1;
for (int j = M_rowadr[i]; j < end; j++) {
int a = M_rowadr[M_colind[j]] + M_rownnz[M_colind[j]]++;
M[a] = M[j];
M_colind[a] = i;
}
}
}
// add inertia matrix to sparse destination matrix
void mj_addMSparse(const mjModel* m, mjData* d, mjtNum* dst,
int* rownnz, int* rowadr, int* colind, mjtNum* M,
int* M_rownnz, int* M_rowadr, int* M_colind) {
int nv = m->nv;
// currently the sparse dof-dof matrix D row addresses are used, since D has
// the same predetermined sparsity structure as M, however with simple bodies
// M has less non-zeros and can be precounted for further memory reduction
if (M_rowadr == NULL) {
M_rowadr = d->D_rowadr;
}
mjMARKSTACK;
int* buf_ind = mj_stackAllocInt(d, nv);
mjtNum* sparse_buf = mj_stackAllocNum(d, nv);
// add to destination
for (int i=0; i < nv; i++) {
rownnz[i] = mju_combineSparse(dst + rowadr[i], M + M_rowadr[i], 1, 1,
rownnz[i], M_rownnz[i], colind + rowadr[i],
M_colind + M_rowadr[i], sparse_buf, buf_ind);
}
mjFREESTACK;
}
// add inertia matrix to dense destination matrix
void mj_addMDense(const mjModel* m, mjData* d, mjtNum* dst) {
int nv = m->nv;
for (int i = 0; i < nv; i++) {
int adr = m->dof_Madr[i];
int j = i;
while (j >= 0) {
// add
dst[i*nv+j] += d->qM[adr];
if (j < i) {
dst[j*nv+i] += d->qM[adr];
}
// only diagonal if simplenum
if (m->dof_simplenum[i]) {
break;
}
// advance
j = m->dof_parentid[j];
adr++;
}
}
}
//-------------------------- sparse system matrix conversion ---------------------------------------
// dst[D] = src[M], handle different sparsity representations
void mj_copyM2DSparse(const mjModel* m, mjData* d, mjtNum* dst, const mjtNum* src) {
int nv = m->nv;
mjMARKSTACK;
// init remaining
int* remaining = mj_stackAllocInt(d, nv);
mju_copyInt(remaining, d->D_rownnz, nv);
// copy data
for (int i = nv - 1; i >= 0; i--) {
// init at diagonal
int adr = m->dof_Madr[i];
remaining[i]--;
dst[d->D_rowadr[i] + remaining[i]] = src[adr];
adr++;
// process below diagonal
int j = i;
while ((j = m->dof_parentid[j]) >= 0) {
remaining[i]--;
dst[d->D_rowadr[i] + remaining[i]] = src[adr];
remaining[j]--;
dst[d->D_rowadr[j] + remaining[j]] = src[adr];
adr++;
}
}
mjFREESTACK;
}
// dst[M] = src[D lower], handle different sparsity representations
void mj_copyD2MSparse(const mjModel* m, mjData* d, mjtNum* dst, const mjtNum* src) {
int nv = m->nv;
// copy data
for (int i = nv - 1; i >= 0; i--) {
// find diagonal in qDeriv
int j = 0;
while (d->D_colind[d->D_rowadr[i] + j] < i) {
j++;
}
// copy
int adr = m->dof_Madr[i];
while (j >= 0) {
dst[adr] = src[d->D_rowadr[i] + j];
adr++;
j--;
}
}
}
//-------------------------- perturbations ---------------------------------------------------------
// add Cartesian force and torque to qfrc_target
void mj_applyFT(const mjModel* m, mjData* d,
const mjtNum force[3], const mjtNum torque[3],
const mjtNum point[3], int body, mjtNum* qfrc_target) {
int nv = m->nv;
// allocate local variables
mjMARKSTACK;
mjtNum* jacp = mj_stackAllocNum(d, 3*nv);
mjtNum* jacr = mj_stackAllocNum(d, 3*nv);
mjtNum* qforce = mj_stackAllocNum(d, nv);
// make sure body is in range
if (body < 0 || body >= m->nbody) {
mjERROR("invalid body %d", body);
}
// compute Jacobians
mj_jac(m, d, jacp, jacr, point, body);
// compute J'*f and accumulate
if (force) {
mju_mulMatTVec(qforce, jacp, force, 3, nv);
mju_addTo(qfrc_target, qforce, nv);
}
if (torque) {
mju_mulMatTVec(qforce, jacr, torque, 3, nv);
mju_addTo(qfrc_target, qforce, nv);
}
mjFREESTACK;
}
// accumulate xfrc_applied in qfrc
void mj_xfrcAccumulate(const mjModel* m, mjData* d, mjtNum* qfrc) {
for (int i=1; i < m->nbody; i++) {
if (!mju_isZero(d->xfrc_applied+6*i, 6)) {
mj_applyFT(m, d, d->xfrc_applied+6*i, d->xfrc_applied+6*i+3, d->xipos+3*i, i, qfrc);
}
}
}
// compute object 6D velocity in object-centered frame, world/local orientation
void mj_objectVelocity(const mjModel* m, const mjData* d,
int objtype, int objid, mjtNum res[6], int flg_local) {
int bodyid = 0;
const mjtNum *pos = 0, *rot = 0;
// body-inertial
if (objtype == mjOBJ_BODY) {
bodyid = objid;
pos = d->xipos+3*objid;
rot = (flg_local ? d->ximat+9*objid : 0);
}
// body-regular
else if (objtype == mjOBJ_XBODY) {
bodyid = objid;
pos = d->xpos+3*objid;
rot = (flg_local ? d->xmat+9*objid : 0);
}
// geom
else if (objtype == mjOBJ_GEOM) {
bodyid = m->geom_bodyid[objid];
pos = d->geom_xpos+3*objid;
rot = (flg_local ? d->geom_xmat+9*objid : 0);
}
// site
else if (objtype == mjOBJ_SITE) {
bodyid = m->site_bodyid[objid];
pos = d->site_xpos+3*objid;
rot = (flg_local ? d->site_xmat+9*objid : 0);
}
// camera
else if (objtype == mjOBJ_CAMERA) {
bodyid = m->cam_bodyid[objid];
pos = d->cam_xpos+3*objid;
rot = (flg_local ? d->cam_xmat+9*objid : 0);
}
// object without spatial frame
else {
mjERROR("invalid object type %d", objtype);
}
// transform velocity
mju_transformSpatial(res, d->cvel+6*bodyid, 0, pos, d->subtree_com+3*m->body_rootid[bodyid], rot);
}
// compute object 6D acceleration in object-centered frame, world/local orientation
void mj_objectAcceleration(const mjModel* m, const mjData* d,
int objtype, int objid, mjtNum res[6], int flg_local) {
int bodyid = 0;
const mjtNum *pos = 0, *rot = 0;
mjtNum correction[3], vel[6];
// body-inertial
if (objtype == mjOBJ_BODY) {
bodyid = objid;
pos = d->xipos+3*objid;
rot = (flg_local ? d->ximat+9*objid : 0);
}
// body-regular
else if (objtype == mjOBJ_XBODY) {
bodyid = objid;
pos = d->xpos+3*objid;
rot = (flg_local ? d->xmat+9*objid : 0);
}
// geom
else if (objtype == mjOBJ_GEOM) {
bodyid = m->geom_bodyid[objid];
pos = d->geom_xpos+3*objid;
rot = (flg_local ? d->geom_xmat+9*objid : 0);
}
// site
else if (objtype == mjOBJ_SITE) {
bodyid = m->site_bodyid[objid];
pos = d->site_xpos+3*objid;
rot = (flg_local ? d->site_xmat+9*objid : 0);
}
// camera
else if (objtype == mjOBJ_CAMERA) {
bodyid = m->cam_bodyid[objid];
pos = d->cam_xpos+3*objid;
rot = (flg_local ? d->cam_xmat+9*objid : 0);
}
// object without spatial frame
else {
mjERROR("invalid object type %d", objtype);
}
// transform com-based velocity to local frame
mju_transformSpatial(vel, d->cvel+6*bodyid, 0, pos, d->subtree_com+3*m->body_rootid[bodyid], rot);
// transform com-based acceleration to local frame
mju_transformSpatial(res, d->cacc+6*bodyid, 0, pos, d->subtree_com+3*m->body_rootid[bodyid], rot);
// acc_tran += vel_rot x vel_tran
mju_cross(correction, vel, vel+3);
mju_addTo3(res+3, correction);
}
//-------------------------- miscellaneous ---------------------------------------------------------
// extract 6D force:torque for one contact, in contact frame
void mj_contactForce(const mjModel* m, const mjData* d, int id, mjtNum result[6]) {
mjContact* con;
// clear result
mju_zero(result, 6);
// make sure contact is valid
if (id >= 0 && id < d->ncon && d->contact[id].efc_address >= 0) {
// get contact pointer
con = d->contact + id;
if (mj_isPyramidal(m)) {
mju_decodePyramid(result, d->efc_force + con->efc_address, con->friction, con->dim);
} else {
mju_copy(result, d->efc_force + con->efc_address, con->dim);
}
}
}
// compute velocity by finite-differencing two positions
void mj_differentiatePos(const mjModel* m, mjtNum* qvel, mjtNum dt,
const mjtNum* qpos1, const mjtNum* qpos2) {
// loop over joints
for (int j=0; j < m->njnt; j++) {
// get addresses in qpos and qvel
int padr = m->jnt_qposadr[j];
int vadr = m->jnt_dofadr[j];
switch ((mjtJoint) m->jnt_type[j]) {
case mjJNT_FREE:
for (int i=0; i < 3; i++) {
qvel[vadr+i] = (qpos2[padr+i] - qpos1[padr+i]) / dt;
}
vadr += 3;
padr += 3;
// continute with rotations
mjFALLTHROUGH;
case mjJNT_BALL:
// solve: qpos1 * quat(qvel * dt) = qpos2
mju_subQuat(qvel+vadr, qpos2+padr, qpos1+padr);
mju_scl3(qvel+vadr, qvel+vadr, 1/dt);
break;
case mjJNT_HINGE:
case mjJNT_SLIDE:
qvel[vadr] = (qpos2[padr] - qpos1[padr]) / dt;
}
}
}
// integrate qpos with given qvel
void mj_integratePos(const mjModel* m, mjtNum* qpos, const mjtNum* qvel, mjtNum dt) {
// loop over joints
for (int j=0; j < m->njnt; j++) {
// get addresses in qpos and qvel
int padr = m->jnt_qposadr[j];
int vadr = m->jnt_dofadr[j];
switch ((mjtJoint) m->jnt_type[j]) {
case mjJNT_FREE:
// position update
for (int i=0; i < 3; i++) {
qpos[padr+i] += dt * qvel[vadr+i];
}
padr += 3;
vadr += 3;
// continue with rotation update
mjFALLTHROUGH;
case mjJNT_BALL:
// quaternion update
mju_quatIntegrate(qpos+padr, qvel+vadr, dt);
break;
case mjJNT_HINGE:
case mjJNT_SLIDE:
// scalar update: same for rotation and translation
qpos[padr] += dt * qvel[vadr];
}
}
}
// normalize all quaternions in qpos-type vector
void mj_normalizeQuat(const mjModel* m, mjtNum* qpos) {
// find quaternion fields and normalize
for (int i=0; i < m->njnt; i++) {
if (m->jnt_type[i] == mjJNT_BALL || m->jnt_type[i] == mjJNT_FREE) {
mju_normalize4(qpos+m->jnt_qposadr[i]+3*(m->jnt_type[i] == mjJNT_FREE));
}
}
}
// map from body local to global Cartesian coordinates
void mj_local2Global(mjData* d, mjtNum xpos[3], mjtNum xmat[9],
const mjtNum pos[3], const mjtNum quat[4],
int body, mjtByte sameframe) {
mjtNum tmp[4];
// position
if (xpos && pos) {
// compute
if (sameframe == 0) {
mju_rotVecMat(xpos, pos, d->xmat+9*body);
mju_addTo3(xpos, d->xpos+3*body);
}
// copy body position
else if (sameframe == 1) {
mju_copy3(xpos, d->xpos+3*body);
}
// copy inertial body position
else {
mju_copy3(xpos, d->xipos+3*body);
}
}
// orientation
if (xmat && quat) {
// compute
if (sameframe == 0) {
mju_mulQuat(tmp, d->xquat+4*body, quat);
mju_quat2Mat(xmat, tmp);
}
// copy body orientation
else if (sameframe == 1) {
mju_copy(xmat, d->xmat+9*body, 9);
}
// copy inertial body orientation
else {
mju_copy(xmat, d->ximat+9*body, 9);
}
}
}
// sum all body masses
mjtNum mj_getTotalmass(const mjModel* m) {
mjtNum res = 0;
for (int i=1; i < m->nbody; i++) {
res += m->body_mass[i];
}
return res;
}
// scale all body masses and inertias to achieve specified total mass
void mj_setTotalmass(mjModel* m, mjtNum newmass) {
// compute scale factor, avoid zeros
mjtNum scale = mjMAX(mjMINVAL, newmass / mjMAX(mjMINVAL, mj_getTotalmass(m)));
// scale all masses and inertias
for (int i=1; i < m->nbody; i++) {
m->body_mass[i] *= scale;
m->body_inertia[3*i] *= scale;
m->body_inertia[3*i+1] *= scale;
m->body_inertia[3*i+2] *= scale;
}
// don't forget to call mj_set0 after changing masses
}
// count warnings, print only the first time
void mj_warning(mjData* d, int warning, int info) {
// check type
if (warning < 0 || warning >= mjNWARNING) {
mjERROR("invalid warning type %d", warning);
}
// save info (override previous)
d->warning[warning].lastinfo = info;
// print message only the first time this warning is encountered
if (!d->warning[warning].number) {
mju_warning("%s Time = %.4f.", mju_warningText(warning, info), d->time);
}
// increase counter
d->warning[warning].number++;
}
// version number
int mj_version(void) {
return mjVERSION;
}
// current version of MuJoCo as a null-terminated string
const char* mj_versionString(void) {
static const char versionstring[] = mjVERSIONSTRING;
return versionstring;
}
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