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/*=================================================================*/
/* Copyright (C) 2024 Greg Landrum and other RDKit contributors */
/* Contributed by NextMove Software, Cambridge, UK. */
/* */
/* */
/* @@ All Rights Reserved @@ */
/* The contents are covered by the terms of the */
/* BSD license, which is included in the file */
/* license.txt. */
/*=================================================================*/
#define _USE_MATH_DEFINES
#include <iostream>
#include <limits>
#include <string>
#include <list>
#include <cmath>
#include <GraphMol/GraphMol.h>
#include <GraphMol/MolOps.h>
#include <GraphMol/MonomerInfo.h>
#include <Geometry/point.h>
#include <GraphMol/RDKitBase.h>
#include <GraphMol/FileParsers/FileParsers.h>
#include "DCLV.h"
using RDGeom::Point3D;
namespace RDKit {
namespace Descriptors {
constexpr int VOXORDER = 16;
constexpr int CHECKMAX = 20;
constexpr int ATOMPOOL = 16;
constexpr int maxDepth = 8;
constexpr int maxDensity = 1000;
constexpr unsigned int HetAtmFlag = 0x01;
constexpr unsigned int WaterFlag = 0x10;
struct CheckType {
const char *name;
const unsigned int count;
};
static const CheckType residueCheck[CHECKMAX] = {
{"ALA", 5}, /* 0 */
{"GLY", 4}, /* 1 */
{"LEU", 8}, /* 2 */
{"SER", 6}, /* 3 */
{"VAL", 7}, /* 4 */
{"THR", 7}, /* 5 */
{"LYS", 9}, /* 6 */
{"ASP", 8}, /* 7 */
{"ILE", 8}, /* 8 */
{"ASN", 8}, /* 9 */
{"GLU", 9}, /* 10 */
{"PRO", 7}, /* 11 */
{"ARG", 11}, /* 12 */
{"PHE", 11}, /* 13 */
{"GLN", 9}, /* 14 */
{"TYR", 12}, /* 15 */
{"HIS", 10}, /* 16 */
{"CYS", 6}, /* 17 */
{"MET", 8}, /* 18 */
{"TRP", 14} /* 19 */
};
struct DotStruct {
Point3D v;
double area;
};
struct ElemStruct {
std::vector<DotStruct> dots;
double radius2;
double radius;
long count;
};
class AtomRecord {
public:
float radius; /* VdW */
unsigned short atmSerNo;
unsigned short resSerNo;
float bFactor;
Point3D pos;
std::string atmName;
std::string resName;
std::string insert;
std::string chain;
int hetAtmFlag;
bool solventFlag;
char flag;
ElemStruct *elem;
bool isSolvent() {
switch (resName[0]) {
case 'D':
return resName == "DOD" || resName == "D20";
case 'H':
return resName == "HOH" || resName == "H20";
case 'S':
return resName == "SOL" || resName == "SO4" || resName == "SUL";
case 'W':
return resName == "WAT";
case 'T':
return resName == "TIP";
case 'P':
return resName == "P04";
default:
return false;
}
}
void initFlag() {
flag = 0; // initialise flag
if (isSolvent()) {
flag |= HetAtmFlag | WaterFlag;
} else if (hetAtmFlag) {
flag |= HetAtmFlag;
}
};
// constructor to populate record
AtomRecord(const Atom &atm, const Conformer cnf) {
const AtomMonomerInfo *info = atm.getMonomerInfo();
unsigned int i;
solventFlag = false;
if (info) {
atmName = info->getName();
resName = ((AtomPDBResidueInfo *)info)->getResidueName();
if (isSolvent()) {
solventFlag = true;
return;
}
atmSerNo = ((AtomPDBResidueInfo *)info)->getSerialNumber();
resSerNo = ((AtomPDBResidueInfo *)info)->getResidueNumber();
pos = cnf.getAtomPos(atm.getIdx());
insert = ((AtomPDBResidueInfo *)info)->getInsertionCode();
chain = ((AtomPDBResidueInfo *)info)->getChainId();
hetAtmFlag = 1;
for (i = 0; i < CHECKMAX; i++) {
if (residueCheck[i].name == resName) {
hetAtmFlag = 0;
}
}
} else { // Molecule not from PDB (Ligand only)
atmName = " " + atm.getSymbol();
resName = "UNK";
if (isSolvent()) {
solventFlag = true;
return;
}
atmSerNo = 1 + atm.getIdx();
resSerNo = 0;
pos = cnf.getAtomPos(atm.getIdx());
hetAtmFlag = 1;
}
}
};
struct AtomList {
const AtomRecord *ptr[ATOMPOOL];
AtomList *next;
unsigned int count;
AtomList() : next(nullptr) {}
};
static void normalise(double *v) {
double len = sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]);
v[0] /= len;
v[1] /= len;
v[2] /= len;
}
static double triangleArea(const Point3D &p, const Point3D &q,
const Point3D &r) {
auto a = q - p;
auto b = r - p;
auto c = a.crossProduct(b);
return (0.5 * c.length());
}
static int within(const AtomRecord &src, const AtomRecord *dst, double dist) {
return (src.pos - dst->pos).lengthSq() < dist * dist;
}
static void checkResidue(const AtomRecord *ptr, unsigned int count) {
for (unsigned int i = 0; i < CHECKMAX; i++) {
if (ptr->resName.compare(0, 3, residueCheck[i].name, 0, 3) == 0) {
if (residueCheck[i].count != count) {
std::cout << "Warning: Atom Count for residue " + ptr->resName +
std::to_string(ptr->resSerNo) + ptr->chain +
" does not match expected count"
<< std::endl;
}
return;
}
}
}
static bool sameResidue(const AtomRecord *ptr1, const AtomRecord *ptr2) {
if ((ptr1->flag | ptr2->flag) & HetAtmFlag) return (false);
return ((ptr1->resSerNo == ptr2->resSerNo) &&
(ptr1->resName.compare(0, 3, ptr2->resName, 0, 3) == 0) &&
(ptr1->insert == ptr2->insert) && (ptr1->chain == ptr2->chain));
}
static double calculateCompactness(double d_surfaceArea, double d_totalVolume) {
return d_surfaceArea / cbrt(36.0 * M_PI * d_totalVolume * d_totalVolume);
};
struct State {
ElemStruct elemA; // Alpha Carbon //
ElemStruct elemC; // Peptide Carbon Carbon //
ElemStruct elemN; // Peptide Nitrogen Nitrogen //
ElemStruct elemO; // Peptide Oxygen Oxygen //
ElemStruct elemS; // Sulphur //
ElemStruct elemX; // Sidechain Atom Unknown //
AtomList *grid[VOXORDER][VOXORDER][VOXORDER];
AtomList *freeList;
AtomList *neighbours;
const AtomRecord *recordCache;
unsigned long totalDots;
ElemStruct standardDots;
double standardArea;
double voxX;
double voxY;
double voxZ;
double voxU;
double voxV;
double voxW;
double cenX;
double cenY;
double cenZ;
void tesselate(const Point3D &p, const Point3D &q, const Point3D &r,
unsigned int d) {
Point3D u, v, w;
if (d--) {
u = p + q;
v = q + r;
w = r + p;
u.normalize();
v.normalize();
w.normalize();
tesselate(u, v, w, d);
tesselate(p, u, w, d);
tesselate(u, q, v, d);
tesselate(w, v, r, d);
} else {
double area = triangleArea(p, q, r);
standardDots.dots[standardDots.count].area = area;
standardArea += area;
auto &n = standardDots.dots[standardDots.count++].v;
n = p + q + r;
n.normalize();
}
}
void generateElemPoints(ElemStruct *elem, double rad, double probeRadius,
int dotDensity) {
double x, y, z, p, q, xy;
unsigned int vert;
elem->radius = rad;
rad = rad + probeRadius;
elem->radius2 = rad * rad;
if (dotDensity) {
long count = ((4.0 * M_PI) * rad * rad * dotDensity);
std::vector<DotStruct> dots(count);
unsigned int equat = sqrt(M_PI * count);
if (!(vert = equat >> 1)) vert = 1;
unsigned int i = 0;
for (unsigned int j = 0; (i < count) && (j < vert); j++) {
p = (M_PI * j) / (double)vert;
z = cos(p);
xy = sin(p);
unsigned int horz = (equat * xy);
if (!horz) {
horz = 1;
}
for (unsigned int k = 0; (i < count) && (k < horz); k++) {
q = (2.0 * M_PI * k) / (double)horz;
x = xy * sin(q);
y = xy * cos(q);
dots[i].v.x = rad * x;
dots[i].v.y = rad * y;
dots[i].v.z = rad * z;
i++;
}
}
count = i;
double area = ((4.0 * M_PI) * elem->radius2) / count;
for (DotStruct &dot : dots) {
dot.area = area;
}
elem->count = count;
} else {
elem->count = standardDots.count;
elem->dots = standardDots.dots;
}
}
void insertAtomList(AtomList **list, const AtomRecord *ptr) {
while (*list && ((*list)->count == ATOMPOOL)) {
list = &(*list)->next;
}
if (!(*list)) {
if (freeList) {
*list = freeList;
freeList = (*list)->next;
(*list)->next = nullptr;
(*list)->count = 0;
} else {
(*list) = (AtomList *)malloc(sizeof(AtomList));
(*list)->next = nullptr;
(*list)->count = 0;
}
}
(*list)->ptr[(*list)->count++] = ptr;
}
void freeAtomList(AtomList *ptr) {
while (ptr) {
AtomList *next = ptr->next;
free(ptr);
ptr = next;
}
}
void freeGrid() {
for (unsigned int x = 0; x < VOXORDER; x++) {
for (unsigned int y = 0; y < VOXORDER; y++) {
for (unsigned int z = 0; z < VOXORDER; z++) {
freeAtomList(grid[x][y][z]);
grid[x][y][z] = nullptr;
}
}
}
}
ElemStruct *getAtomElem(std::string atmName, bool typeFlag) {
const char *name = atmName.c_str();
if (typeFlag) { /* Only Recognise Backbone Atoms! */
if ((name[1] == 'C') && (name[2] == 'A')) {
return &elemA;
} else if (name[2] == ' ')
switch (name[1]) {
case 'C':
return &elemC;
case 'N':
return &elemN;
case 'O':
return &elemO;
}
} else { /* RasMol */
switch (name[1]) {
case 'C':
return &elemC;
case 'N':
return &elemN;
case 'O':
return &elemO;
case 'S':
return &elemS;
}
}
return (&elemX);
}
AtomList *findNeighbours(const AtomRecord &atom, double range) {
double maxRadius = 1.87;
double maxDist = range + maxRadius;
int lx = voxX * (atom.pos.x - maxDist - voxU);
if (lx < 0) {
lx = 0;
}
int ly = voxY * (atom.pos.y - maxDist - voxV);
if (ly < 0) {
ly = 0;
}
int lz = voxZ * (atom.pos.z - maxDist - voxW);
if (lz < 0) {
lz = 0;
}
int ux = voxX * (atom.pos.x + maxDist - voxU);
if (ux >= VOXORDER) {
ux = VOXORDER - 1;
}
int uy = voxY * (atom.pos.y + maxDist - voxV);
if (uy >= VOXORDER) {
uy = VOXORDER - 1;
}
int uz = voxZ * (atom.pos.z + maxDist - voxW);
if (uz >= VOXORDER) {
uz = VOXORDER - 1;
}
AtomList *neighbourList = nullptr;
for (int x = lx; x <= ux; x++) {
for (int y = ly; y <= uy; y++) {
for (int z = lz; z <= uz; z++) {
for (AtomList *list = grid[x][y][z]; list; list = list->next) {
for (unsigned int i = 0; i < list->count; i++) {
const AtomRecord *temp = list->ptr[i];
if (temp != &atom) {
maxDist = range + temp->radius;
if (within(atom, temp, maxDist)) {
insertAtomList(&neighbourList, temp);
}
}
}
}
}
}
}
return neighbourList;
}
bool testPoint(double *vect, double solvrad) {
if (recordCache) {
double dist = recordCache->radius + solvrad;
double dx = recordCache->pos.x - vect[0];
double dy = recordCache->pos.y - vect[1];
double dz = recordCache->pos.z - vect[2];
if ((dx * dx + dy * dy + dz * dz) < (dist * dist)) {
return false;
}
recordCache = nullptr;
}
for (const AtomList *list = neighbours; list; list = list->next) {
for (unsigned int i = 0; i < list->count; i++) {
const AtomRecord *ptr = list->ptr[i];
double dist = ptr->radius + solvrad;
double dx = ptr->pos.x - vect[0];
double dy = ptr->pos.y - vect[1];
double dz = ptr->pos.z - vect[2];
if ((dx * dx + dy * dy + dz * dz) < (dist * dist)) {
recordCache = ptr;
return false;
}
}
}
totalDots++;
return true;
}
void determineCentreOfGravity(std::vector<AtomRecord> &memberAtoms) {
double cx, cy, cz;
cx = cy = cz = 0.0;
for (const AtomRecord &atom : memberAtoms) {
cx += atom.pos.x;
cy += atom.pos.y;
cz += atom.pos.z;
}
unsigned int atomCount = memberAtoms.size();
cenX = cx / atomCount;
cenY = cy / atomCount;
cenZ = cz / atomCount;
}
void generateStandardDots(int depth) {
// Vertex co-ordinates of a unit icosahedron
static const Point3D Vertices[12] = {{0.00000000, -0.85065081, -0.52573111},
{-0.52573111, 0.00000000, -0.85065081},
{-0.85065081, -0.52573111, 0.00000000},
{0.00000000, -0.85065081, 0.52573111},
{0.52573111, 0.00000000, -0.85065081},
{-0.85065081, 0.52573111, 0.00000000},
{0.00000000, 0.85065081, -0.52573111},
{-0.52573111, 0.00000000, 0.85065081},
{0.85065081, -0.52573111, 0.00000000},
{0.00000000, 0.85065081, 0.52573111},
{0.52573111, 0.00000000, 0.85065081},
{0.85065081, 0.52573111, 0.00000000}};
// Face list of a unit icosahedron
static const int Faces[20][4] = {
{0, 1, 2}, {0, 1, 4}, {0, 2, 3}, {0, 3, 8}, {0, 4, 8},
{1, 2, 5}, {1, 4, 6}, {1, 5, 6}, {2, 3, 7}, {2, 5, 7},
{4, 8, 11}, {4, 6, 11}, {3, 8, 10}, {3, 7, 10}, {8, 10, 11},
{5, 7, 9}, {5, 6, 9}, {6, 9, 11}, {7, 9, 10}, {9, 10, 11}};
/* Count = 20*(4^Depth); */
const unsigned long count = (20) * pow(4, depth);
std::vector<DotStruct> dots(count);
standardDots.radius = 1.0;
standardDots.dots = dots;
standardDots.count = 0;
standardArea = 0.0;
for (unsigned int i = 0; i < 20; i++)
tesselate(Vertices[Faces[i][0]], Vertices[Faces[i][1]],
Vertices[Faces[i][2]], depth);
}
void generateSurfacePoints(int depth, bool typeFlag, double probeRadius,
int dotDensity) {
if (!dotDensity) {
generateStandardDots(depth);
}
if (typeFlag) {
generateElemPoints(&elemA, 1.87, probeRadius, dotDensity);
generateElemPoints(&elemC, 1.76, probeRadius, dotDensity);
generateElemPoints(&elemN, 1.65, probeRadius, dotDensity);
generateElemPoints(&elemO, 1.4, probeRadius, dotDensity);
generateElemPoints(&elemX, 1.8, probeRadius, dotDensity);
} else {
generateElemPoints(&elemC, 1.87, probeRadius, dotDensity);
generateElemPoints(&elemN, 1.5, probeRadius, dotDensity);
generateElemPoints(&elemO, 1.4, probeRadius, dotDensity);
generateElemPoints(&elemS, 1.84, probeRadius, dotDensity);
generateElemPoints(&elemX, 1.44, probeRadius, dotDensity);
}
}
void createVoxelGrid(int mask, std::vector<AtomRecord> &memberAtoms) {
double minx, miny, minz;
double maxx, maxy, maxz;
minx = miny = minz = std::numeric_limits<double>::infinity();
maxx = maxy = maxz = -std::numeric_limits<double>::infinity();
freeList = nullptr;
for (unsigned int x = 0; x < VOXORDER; x++) {
for (unsigned int y = 0; y < VOXORDER; y++) {
for (unsigned int z = 0; z < VOXORDER; z++) {
grid[x][y][z] = nullptr;
}
}
}
// loop over atoms to find min + max x, y + z
bool init = false;
for (const AtomRecord &atom : memberAtoms) {
if (!(atom.flag & mask)) {
if (init) {
if (atom.pos.x > maxx) {
maxx = atom.pos.x;
} else if (atom.pos.x < minx) {
minx = atom.pos.x;
}
if (atom.pos.y > maxy) {
maxy = atom.pos.y;
} else if (atom.pos.y < miny) {
miny = atom.pos.y;
}
if (atom.pos.z > maxz) {
maxz = atom.pos.z;
} else if (atom.pos.z < minz) {
minz = atom.pos.z;
}
} else {
maxx = minx = atom.pos.x;
maxy = miny = atom.pos.y;
maxz = minz = atom.pos.z;
init = true;
}
}
}
if (!init) return;
voxX = VOXORDER / ((maxx - minx) + 0.1);
voxU = minx;
voxY = VOXORDER / ((maxy - miny) + 0.1);
voxV = miny;
voxZ = VOXORDER / ((maxz - minz) + 0.1);
voxW = minz;
for (AtomRecord &atom : memberAtoms) {
if (atom.flag & mask) {
continue;
}
// get grid positions and add to list
unsigned int x = voxX * (atom.pos.x - voxU);
unsigned int y = voxY * (atom.pos.y - voxV);
unsigned int z = voxZ * (atom.pos.z - voxW);
insertAtomList(&grid[x][y][z], &atom);
}
}
double surfaceArea(const AtomRecord &atom, const double solvrad,
const int dotDensity) {
neighbours = findNeighbours(atom, atom.elem->radius + solvrad + solvrad);
recordCache = nullptr;
double surfacearea = 0.0;
double vect[3];
if (dotDensity) {
for (const DotStruct &dot : atom.elem->dots) {
vect[0] = atom.pos.x + dot.v.x;
vect[1] = atom.pos.y + dot.v.y;
vect[2] = atom.pos.z + dot.v.z;
if (testPoint(vect, solvrad)) {
surfacearea += dot.area;
}
}
} else {
double factor = atom.elem->radius + solvrad;
for (const DotStruct &dot : atom.elem->dots) {
vect[0] = atom.pos.x + factor * dot.v.x;
vect[1] = atom.pos.y + factor * dot.v.y;
vect[2] = atom.pos.z + factor * dot.v.z;
if (testPoint(vect, solvrad)) {
surfacearea += dot.area;
}
}
surfacearea *= ((4.0 * M_PI) * atom.elem->radius2) / standardArea;
}
freeAtomList(neighbours);
return surfacearea;
}
double calculateAccessibility(bool isProtein, double probeRadius,
int dotDensity,
std::vector<AtomRecord> &memberAtoms) {
AtomRecord *ptr = nullptr;
AtomRecord *prev = nullptr;
unsigned int count = 0;
double area = 0;
totalDots = 0;
double totalArea = 0.0;
unsigned int atomCount = memberAtoms.size();
bool init = false;
if (isProtein) {
for (unsigned int i = 0; i < atomCount; i++) {
ptr = &memberAtoms[i];
if (ptr->flag & (WaterFlag)) {
ptr->bFactor = 0.0;
} else if (!init) {
if (!(ptr->flag & HetAtmFlag)) {
init = true;
prev = ptr;
area = surfaceArea(*ptr, probeRadius, dotDensity);
if (ptr->atmName != " OXT") {
count = 1;
} else {
count = 0;
}
ptr->bFactor = (float)area;
} else {
ptr->bFactor = (float)0.0;
}
} else if (!sameResidue(ptr, prev)) {
totalArea += area;
checkResidue(prev, count);
while (prev != ptr) {
if (!(prev->flag & (HetAtmFlag))) {
prev->bFactor = (float)area;
}
prev++;
}
if (!(ptr->flag & HetAtmFlag)) {
area = surfaceArea(*ptr, probeRadius, dotDensity);
if (ptr->atmName != " OXT") {
count = 1;
} else {
count = 0;
}
ptr->bFactor = (float)area;
prev = ptr;
} else {
ptr->bFactor = (float)0.0;
init = false;
}
} else if (!(ptr->flag & HetAtmFlag)) {
ptr->bFactor = (float)surfaceArea(*ptr, probeRadius, dotDensity);
area += ptr->bFactor;
if (ptr->atmName.compare(0, 4, " OXT") != 0) {
count++;
}
}
}
if (init) {
totalArea += area;
checkResidue(prev, count);
while (prev != ptr) {
if (!(prev->flag & (HetAtmFlag))) {
prev->bFactor = (float)area;
}
prev++;
}
}
} else {
for (const AtomRecord &atom : memberAtoms) {
area = surfaceArea(atom, probeRadius, dotDensity);
totalArea += area;
}
}
return totalArea;
};
double partialVolume(const AtomRecord &atom, const double solvrad) {
double rad = atom.elem->radius + solvrad;
neighbours = findNeighbours(atom, rad + solvrad);
recordCache = nullptr;
unsigned int count = 0;
double px, py, pz;
px = py = pz = 0.0;
double vect[3];
for (const DotStruct &dot : atom.elem->dots) {
vect[0] = atom.pos.x + rad * dot.v.x;
vect[1] = atom.pos.y + rad * dot.v.y;
vect[2] = atom.pos.z + rad * dot.v.z;
if (testPoint(vect, solvrad)) {
px += dot.v.x;
py += dot.v.y;
pz += dot.v.z;
count++;
}
}
freeAtomList(neighbours);
/* Calculate Volume with Gauss-Ostrogradskii Theorem */
double partialvol = (atom.pos.x - cenX) * px + (atom.pos.y - cenY) * py +
(atom.pos.z - cenZ) * pz;
partialvol = rad * rad * (partialvol + rad * count);
return partialvol;
}
double calculateVolume(const double probeRadius,
const std::vector<AtomRecord> &memberAtoms) {
double totalvol = 0.0;
for (const AtomRecord &atom : memberAtoms) {
totalvol += partialVolume(atom, probeRadius);
}
totalvol *= ((4.0 / 3) * M_PI) / standardDots.count;
return totalvol;
};
};
// constructor definition
DoubleCubicLatticeVolume::DoubleCubicLatticeVolume(const ROMol &mol,
bool isProtein,
bool includeLigand,
double probeRadius,
int depth, int dotDensity) {
//! Class for calculation of the Shrake and Rupley surface area and volume
//! using the Double Cubic Lattice Method.
//!
//! Frank Eisenhaber, Philip Lijnzaad, Patrick Argos, Chris Sander and
//! Michael Scharf, "The Double Cubic Lattice Method: Efficient Approaches
//! to Numerical Integration of Surface Area and Volume and to Dot Surface
//! Contouring of Molecular Assemblies", Journal of Computational Chemistry,
//! Vol. 16, No. 3, pp. 273-284, 1995.
/*!
\param mol: input molecule or protein
\param isProtein: flag to calculate burried surface area of a protein ligand
complex [default=false, free ligand]
\param includeLigand: flag to trigger
inclusion of bound ligand in surface area and volume calculations where
molecule is a protein [default=true]
\param probeRadius: radius of the
sphere representing the probe solvent atom
\param depth: controls the number
of dots per atom
\param dotDensity: controls density of dots per atom
\return class
object
*/
if (depth > maxDepth) {
throw std::range_error("Error: supplied depth exceeds maximum");
}
if (dotDensity > maxDensity) {
throw std::range_error("Error: supplied density exceeds maximum");
}
if (depth < 0) {
depth = 0;
}
if (probeRadius < 0.0) {
probeRadius = (isProtein) ? 1.4 : 1.2;
}
// if not protein, includeLigand should always be true
if (!isProtein) {
includeLigand = true;
}
// default 5120 faces, ligand
if (isProtein && probeRadius == 1.2 && depth == 4) {
probeRadius = 1.4;
depth = 2; // 320 faces, protein
}
std::unique_ptr<ROMol> nmol{MolOps::removeAllHs(mol, false)};
State s;
s.generateSurfacePoints(depth, isProtein, probeRadius, dotDensity);
const Conformer &conf = nmol->getConformer();
std::vector<AtomRecord> memberAtoms;
for (const auto atom : nmol->atoms()) {
AtomRecord curr_atom(*atom, conf);
curr_atom.initFlag();
if (!curr_atom.solventFlag) {
curr_atom.elem = s.getAtomElem(curr_atom.atmName, isProtein);
curr_atom.radius = curr_atom.elem->radius;
memberAtoms.push_back(curr_atom);
}
}
int mask = includeLigand ? WaterFlag : HetAtmFlag;
s.determineCentreOfGravity(memberAtoms);
s.createVoxelGrid(mask, memberAtoms);
surfaceArea =
s.calculateAccessibility(isProtein, probeRadius, dotDensity, memberAtoms);
totalVolume = s.calculateVolume(probeRadius, memberAtoms);
vdwVolume = s.calculateVolume(0.0, memberAtoms);
compactness = calculateCompactness(surfaceArea, totalVolume);
packingDensity = (vdwVolume / totalVolume);
s.freeGrid();
}
} // namespace Descriptors
} // namespace RDKit
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