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hclust.c
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/* Philip T.L.C. Clausen Jan 2017 [email protected] */
/*
* Copyright (c) 2017, Philip Clausen, Technical University of Denmark
* All rights reserved.
*
* 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.
*/
#define _XOPEN_SOURCE 600
#include <float.h>
#include <limits.h>
#include <pthread.h>
#include <stdlib.h>
#include "dnjheaders/bytescale.h"
#include "dnjheaders/hclust.h"
#include "dnjheaders/matrix.h"
#include "dnjheaders/nj.h"
#include "dnjheaders/nwck.h"
#include "dnjheaders/qseqs.h"
#include "dnjheaders/pherror.h"
#include "dnjheaders/str.h"
#include "dnjheaders/vector.h"
int * (*initDsDQN)(Matrix *, Vector *, Vector *, int *) = &initHNJ;
long unsigned (*pairQ)(Vector *, int *) = &minQ;
int (*updateDsDQNPtr)(Matrix *, Vector *, Vector *, int *, int*, int, int, double, double) = &updateHNJ;
int (*popArrangePtr)(Matrix *, Vector *, Vector *, int*, int*, int) = &HNJ_popArrange;
int * initAlloc(Matrix *D, Vector *sD, Vector *Q, int *N) {
/* alloc */
sD->n = D->n;
Q->n = D->n;
if(sD->size < sD->n) {
vector_realloc(sD, sD->n);
vector_realloc(Q, Q->n);
if(!(N = realloc(N, 2 * D->n * sizeof(int)))) {
ERROR();
}
}
return N;
}
int * initHNJ(Matrix *D, Vector *sD, Vector *Q, int *N) {
int i, j, pos, N_i, *Ni, *Nj, *P, *Ptr;
double min, minD, d, q, sD_i, *sDi, *sDj, *Dptr, *Qptr;
float *Dfptr;
short unsigned *Dsptr;
unsigned char *Dbptr;
/* alloc */
N = initAlloc(D, sD, Q, N);
P = N + D->n;
/* init sD and N */
N = initSummaD(sD, D, N);
/*
Q(i,j) = (n(i) + n(j) - 4) / 2 * D(i,j) - summa(d(i,k)) - summa(d(k,j));
sD(i) = summa(d(i,k));
org:
Q(i,j) = (n - 2) * D(i,j) - summa(d(i,k)) - summa(d(k,j));
*/
/* init */
Dptr = 0;
Dfptr = 0;
Dsptr = 0;
Dbptr = 0;
if(D->mat) {
Dptr = *(D->mat) - 1;
} else if(D->fmat) {
Dfptr = *(D->fmat) - 1;
} else if(D->smat) {
Dsptr = *(D->smat) - 1;
} else {
Dbptr = *(D->bmat) - 1;
}
sDi = --sD->vec;
Qptr = Q->vec - 1;
Ni = --N;
Ptr = P - 1;
i = -1;
while(++i < D->n) {
sD_i = *++sDi;
sDj = sD->vec;
N_i = *++Ni;
Nj = N;
min = DBL_MAX;
minD = DBL_MAX;
pos = 0;
j = -1;
while(++j < i) {
d = Dptr ? *++Dptr : Dfptr ? *++Dfptr : Dsptr ? uctod(*++Dsptr) : uctod(*++Dbptr);
if(0 <= d) {
q = ((N_i + *++Nj - 4) >> 1) * d - sD_i - *++sDj;
if(q <= min) {
if(q < min || d <= minD) {
min = q;
minD = d;
pos = j;
}
}
} else {
++Nj;
++sDj;
}
}
/* store best match */
*++Qptr = min;
*++Ptr = pos;
}
++sD->vec;
++N;
return N;
}
int * initHMN(Matrix *D, Vector *sD, Vector *Q, int *N) {
int i, j, pos, N_i, *Ni, *Nj, *P, *Ptr;
double max, q, sD_i, *sDi, *sDj, *Dptr, *Qptr;
float *Dfptr;
short unsigned *Dsptr;
unsigned char *Dbptr;
/* alloc */
N = initAlloc(D, sD, Q, N);
P = N + D->n;
/* init sD and N */
N = initSummaD(sD, D, N);
/*
Q(i,j) = (n(i) + n(j) - 4) / 2 * D(i,j) - summa(d(i,k)) - summa(d(k,j));
sD(i) = summa(d(i,k));
org:
Q(i,j) = (n - 2) * D(i,j) - summa(d(i,k)) - summa(d(k,j));
*/
/* init */
Dptr = 0;
Dfptr = 0;
Dsptr = 0;
Dbptr = 0;
if(D->mat) {
Dptr = *(D->mat) - 1;
} else if(D->fmat) {
Dfptr = *(D->fmat) - 1;
} else if(D->smat) {
Dsptr = *(D->smat) - 1;
} else {
Dbptr = *(D->bmat) - 1;
}
sDi = --sD->vec;
Qptr = Q->vec - 1;
Ni = --N;
Ptr = P - 1;
i = -1;
while(++i < D->n) {
N_i = *++Ni;
Nj = N;
sD_i = *++sDi;
sDj = sD->vec;
max = -DBL_MAX;
pos = 0;
j = -1;
while(++j < i) {
q = Dptr ? *++Dptr : Dfptr ? *++Dfptr : Dsptr ? uctod(*++Dsptr) : uctod(*++Dbptr);
if(0 <= q) {
q = q * ((N_i + *++Nj - 4) >> 1) - sD_i - *++sDj;
if(max <= q) {
max = q;
pos = j;
}
} else {
++Nj;
++sDj;
}
}
/* store best match */
*++Qptr = max;
*++Ptr = pos;
}
++sD->vec;
++N;
return N;
}
int * initDmin(Matrix *D, Vector *sD, Vector *Q, int *N) {
int i, j, pos, *Nptr, *Nvec, *P, *Ptr;
double min, dist, *sDptr, *sDvec, *Dptr, *Qptr;
float *Dfptr;
short unsigned *Dsptr;
unsigned char *Dbptr;
/* alloc */
N = initAlloc(D, sD, Q, N);
P = N + D->n;
/* init to zero */
i = sD->n + 1;
sDptr = sD->vec - 1;
Nptr = N - 1;
while(--i) {
*++sDptr = 0;
*++Nptr = 1;
}
/* compute sum's */
Dptr = 0;
Dfptr = 0;
Dsptr = 0;
Dbptr = 0;
if(D->mat) {
Dptr = *(D->mat) - 1;
} else if(D->fmat) {
Dfptr = *(D->fmat) - 1;
} else if(D->smat) {
Dsptr = *(D->smat) - 1;
} else {
Dbptr = *(D->bmat) - 1;
}
sDptr = --sD->vec;
Qptr = Q->vec - 1;
Nptr = --N;
Ptr = P - 1;
i = -1;
while(++i < D->n) {
++sDptr;
sDvec = sD->vec;
++Nptr;
Nvec = N;
min = DBL_MAX;
pos = 0;
j = -1;
while(++j < i) {
dist = Dptr ? *++Dptr : Dfptr ? *++Dfptr : Dsptr ? uctod(*++Dsptr) : uctod(*++Dbptr);
if(0 <= dist) {
if(dist <= min) {
min = dist;
pos = j;
}
*sDptr += dist;
*++sDvec += dist;
++*Nptr;
++*++Nvec;
} else {
++sDvec;
++Nvec;
}
}
/* store best match */
*++Qptr = min;
*++Ptr = pos;
}
++sD->vec;
++N;
return N;
}
int * initDmax(Matrix *D, Vector *sD, Vector *Q, int *N) {
int i, j, pos, *Nptr, *Nvec, *P, *Ptr;
double max, dist, *sDptr, *sDvec, *Dptr, *Qptr;
float *Dfptr;
short unsigned *Dsptr;
unsigned char *Dbptr;
/* alloc */
N = initAlloc(D, sD, Q, N);
P = N + D->n;
/* init to zero */
i = sD->n + 1;
sDptr = sD->vec - 1;
Nptr = N - 1;
while(--i) {
*++sDptr = 0;
*++Nptr = 1;
}
/* compute sum's */
Dptr = 0;
Dfptr = 0;
Dsptr = 0;
Dbptr = 0;
if(D->mat) {
Dptr = *(D->mat) - 1;
} else if(D->fmat) {
Dfptr = *(D->fmat) - 1;
} else if(D->smat) {
Dsptr = *(D->smat) - 1;
} else {
Dbptr = *(D->bmat) - 1;
}
sDptr = --sD->vec;
Qptr = Q->vec - 1;
Nptr = --N;
Ptr = P - 1;
i = -1;
while(++i < D->n) {
++sDptr;
sDvec = sD->vec;
++Nptr;
Nvec = N;
pos = 0;
max = -DBL_MAX;
j = -1;
while(++j < i) {
dist = Dptr ? *++Dptr : Dfptr ? *++Dfptr : Dsptr ? uctod(*++Dsptr) : uctod(*++Dbptr);
if(0 <= dist) {
if(max <= dist) {
max = dist;
pos = j;
}
*sDptr += dist;
*++sDvec += dist;
++*Nptr;
++*++Nvec;
} else {
++sDvec;
++Nvec;
}
}
/* store best match */
*++Qptr = max;
*++Ptr = pos;
}
++sD->vec;
++N;
return N;
}
long unsigned minQ(Vector *Q, int *P) {
int i, mi, mj;
long unsigned pos;
double min, *Qptr;
mi = 0;
mj = 0;
min = DBL_MAX;
Qptr = Q->vec;
i = 0;
while(++i < Q->n) {
if(*++Qptr <= min) {
min = *Qptr;
mi = i;
mj = *++P;
} else {
++P;
}
}
/* save pos */
pos = 0;
pos |= mi;
pos <<= sizeof(unsigned) * 8;
pos |= mj;
return pos;
}
long unsigned maxQ(Vector *Q, int *P) {
int i, mi, mj;
long unsigned pos;
double max, *Qptr;
mi = 0;
mj = 0;
max = -DBL_MAX;
Qptr = Q->vec;
i = 0;
while(++i < Q->n) {
if(max <= *++Qptr) {
max = *Qptr;
mi = i;
mj = *++P;
} else {
++P;
}
}
/* save pos */
pos = 0;
pos |= mi;
pos <<= sizeof(unsigned) * 8;
pos |= mj;
return pos;
}
void updatePrevQ(Matrix *D, Vector *sD, Vector *Q, int *N, int *P) {
int i, *Nptr;
double **Dmat, *sDvec, *Qvec, dist;
float **Dfmat;
short unsigned **Dsmat;
unsigned char **Dbmat;
/* update previous Q */
Dmat = 0;
Dfmat = 0;
Dsmat = 0;
Dbmat = 0;
if(D->mat) {
Dmat = D->mat - 1;
} else if(D->fmat) {
Dfmat = D->fmat - 1;
} else if(D->smat) {
Dsmat = D->smat - 1;
} else {
Dbmat = D->bmat - 1;
}
sDvec = sD->vec - 1;
Qvec = Q->vec - 1;
Nptr = N - 1;
--P;
i = D->n;
while(--i) {
dist = Dmat ? (*++Dmat)[*++P] : Dfmat ? (*++Dfmat)[*++P] : Dsmat ? uctod((*++Dsmat)[*++P]) : uctod((*++Dbmat)[*++P]);
if(0 <= dist) {
*++Qvec = ((*++Nptr + N[*P] - 4) >> 1) * dist - *++sDvec - sD->vec[*P];
} else {
++Qvec;
++sDvec;
++Nptr;
}
}
}
int updateHNJ(Matrix *D, Vector *sD, Vector *Q, int *N, int *P, int i, int j, double Li, double Lj) {
int k, p, Dn, N_j;
double q, min, sD_j, *D_j, **Dmat, *sDvec, *Qvec;
float *Df_j, **Dfmat;
short unsigned *Ds_j, **Dsmat;
unsigned char *Db_j, **Dbmat;
/* update D, sD and N */
updateD(D, sD, N, i, j, Li, Lj);
/* update previous Q */
updatePrevQ(D, sD, Q, N, P);
/* update on (first) row */
Qvec = Q->vec + j;
*Qvec = DBL_MAX;
P += j;
*P = 0;
Dmat = 0;
D_j = 0;
Dfmat = 0;
Df_j = 0;
Dsmat = 0;
Ds_j = 0;
Dbmat = 0;
Db_j = 0;
if(D->mat) {
Dmat = D->mat;
D_j = Dmat[j] - 1;
} else if(D->fmat) {
Dfmat = D->fmat;
Df_j = Dfmat[j] - 1;
} else if(D->smat) {
Dsmat = D->smat;
Ds_j = Dsmat[j] - 1;
} else {
Dbmat = D->bmat;
Db_j = Dbmat[j] - 1;
}
sDvec = sD->vec - 1;
sD_j = sD->vec[j];
N_j = N[j];
--N;
for(k = 0; k < j; ++k) {
q = D_j ? *++D_j : Df_j ? *++Df_j : Ds_j ? uctod(*++Ds_j) : uctod(*++Db_j);
if(0 <= q) {
q = ((N_j + *++N - 4) >> 1) * q - sD_j - *++sDvec;
if(q <= *Qvec) {
*Qvec = q;
*P = k;
}
} else {
++sDvec;
++N;
}
}
/* save min */
min = *Qvec;
p = j;
/* update on jth column */
++sDvec;
++N;
Dn = i;
while(Dn != D->n) {
if(k == Dn) {
/* skip ith row */
Dn = D->n;
++Qvec;
++P;
++sDvec;
++N;
}
while(++k < Dn) {
q = Dmat ? Dmat[k][j] : Dfmat ? Dfmat[k][j] : Dsmat ? uctod(Dsmat[k][j]) : uctod(Dbmat[k][j]);
if(0 <= q) {
q = ((N_j + *++N - 4) >> 1) * q - sD_j - *++sDvec;
/* check if best join was i or j, or new node is better */
++P;
++Qvec;
if(*P == i || *P == j) {
*Qvec = q;
*P = j;
if(q <= min) {
q = min;
p = k;
}
} else if(q <= *Qvec) {
*Qvec = q;
if(*P < j) {
*P = j;
}
if(q <= min) {
q = min;
p = k;
}
}
} else {
++sDvec;
++Qvec;
++N;
++P;
}
}
}
return p;
}
int updateHMN(Matrix *D, Vector *sD, Vector *Q, int *N, int *P, int i, int j, double Li, double Lj) {
int k, p, Dn, N_j;
double q, max, sD_j, *D_j, **Dmat, *sDvec, *Qvec;
float *Df_j, **Dfmat;
short unsigned *Ds_j, **Dsmat;
unsigned char *Db_j, **Dbmat;
/* update D, sD and N */
updateD(D, sD, N, i, j, Li, Lj);
/* update previous Q */
updatePrevQ(D, sD, Q, N, P);
/* update on (first) row */
Qvec = Q->vec + j;
P += j;
*Qvec = -DBL_MAX;
Dmat = 0;
D_j = 0;
Dfmat = 0;
Df_j = 0;
Dsmat = 0;
Ds_j = 0;
Dbmat = 0;
Db_j = 0;
if(D->mat) {
Dmat = D->mat;
D_j = Dmat[j] - 1;
} else if(D->fmat) {
Dfmat = D->fmat;
Df_j = Dfmat[j] - 1;
} else if(D->smat) {
Dsmat = D->smat;
Ds_j = Dsmat[j] - 1;
} else {
Dbmat = D->bmat;
Db_j = Dbmat[j] - 1;
}
sDvec = sD->vec - 1;
sD_j = sD->vec[j];
N_j = N[j];
--N;
for(k = 0; k < j; ++k) {
q = D_j ? *++D_j : Df_j ? *++Df_j : Ds_j ? uctod(*++Ds_j) : uctod(*++Db_j);
if(0 <= q) {
q = ((N_j + *++N - 4) >> 1) * q - sD_j - *++sDvec;
if(*Qvec < q) {
*Qvec = q;
*P = k;
}
} else {
++sDvec;
++N;
}
}
/* save max */
max = *Qvec;
p = j;
/* update on jth column */
++sDvec;
++N;
Dn = i;
while(Dn != D->n) {
if(k == Dn) {
/* skip ith row */
Dn = D->n;
++Qvec;
++P;
++sDvec;
++N;
}
while(++k < Dn) {
q = Dmat ? Dmat[k][j] : Dfmat ? Dfmat[k][j] : Dsmat ? uctod(Dsmat[k][j]) : uctod(Dbmat[k][j]);
if(0 <= q) {
q = ((N_j + *++N - 4) >> 1) * q - sD_j - *++sDvec;
/* check if best join was i or j, or new node is better */
++P;
if(*++Qvec <= q || *P == i || *P == j) {
if(*Qvec < q || *P == i || *P < j) {
*P = j;
}
*Qvec = q;
if(max <= q) {
q = max;
p = k;
}
}
} else {
++sDvec;
++Qvec;
++N;
++P;
}
}
}
return p;
}
int updateUPGMA(Matrix *D, Vector *sD, Vector *Q, int *N, int *P, int i, int j, double Li, double Lj) {
int k, n, p, Dn, *Nptr;
double min, dist, sd, D_ik, D_kj, *D_i, *D_j, **Dmat, *sDvec, *Qvec;
float *Df_i, *Df_j, **Dfmat;
short unsigned *Ds_i, *Ds_j, **Dsmat;
unsigned char *Db_i, *Db_j, **Dbmat;
/*
UPGMA
*/
/* init */
Qvec = Q->vec + j;
*Qvec = DBL_MAX;
P += j;
*P = 0;
Dmat = 0;
D_i = 0;
D_j = 0;
Dfmat = 0;
Df_i = 0;
Df_j = 0;
Dsmat = 0;
Ds_i = 0;
Ds_j = 0;
Dbmat = 0;
Db_i = 0;
Db_j = 0;
if(D->mat) {
Dmat = D->mat;
D_i = Dmat[i] - 1;
D_j = Dmat[j] - 1;
} else if(D->fmat) {
Dfmat = D->fmat;
Df_i = Dfmat[i] - 1;
Df_j = Dfmat[j] - 1;
} else if(D->smat) {
Dsmat = D->smat;
Ds_i = Dsmat[i] - 1;
Ds_j = Dsmat[j] - 1;
} else {
Dbmat = D->bmat;
Db_i = Dbmat[i] - 1;
Db_j = Dbmat[j] - 1;
}
sDvec = sD->vec - 1;
Nptr = N - 1;
/* prepare upadate on N and sD */
n = 1;
sd = 0;
/* update (first) row */
for(k = 0; k < j; ++k) {
D_ik = D_i ? *++D_i : Df_i ? *++Df_i : Ds_i ? uctod(*++Ds_i) : uctod(*++Db_i);
D_kj = D_j ? *++D_j : Df_j ? *++Df_j : Ds_j ? uctod(*++Ds_j) : uctod(*++Db_j);
if(0 <= D_ik && 0 <= D_kj) {
dist = (D_ik + D_kj) / 2;
if(D_j) {
*D_j = dist;
} else if(Df_j) {
*Df_j = dist;
} else if(Ds_j) {
*Ds_j = dtouc(dist, 0);
} else {
*Db_j = dtouc(dist, 0);
}
/* update N and sD */
*++sDvec -= (D_ik + D_kj - dist);
sd += dist;
--*++Nptr;
++n;
} else if(0 <= D_ik) {
dist = D_ik;
if(D_j) {
*D_j = dist;
} else if(Df_j) {
*Df_j = dist;
} else if(Ds_j) {
*Ds_j = dtouc(dist, 0);
} else {
*Db_j = dtouc(dist, 0);
}
/* update N and sD, sD(k) is new */
++sDvec;
++Nptr;
sd += D_ik;
++n;
} else if(0 <= D_kj) {
dist = D_kj;
/* update N and sD */
++sDvec;
--*++Nptr;
sd += D_kj;
++n;
} else {
dist = -1;
}
/* update Q and P */
if(0 <= dist && dist <= *Qvec) {
*Qvec = dist;
*P = k;
}
}
/* save min */
min = *Qvec;
p = j;
/* update jth column */
++sDvec;
++Nptr;
Dn = i;
while(Dn != D->n) {
if(k == Dn) {
/* skip ith row */
Dn = D->n;
++sDvec;
++Qvec;
++Nptr;
++P;
}
while(++k < Dn) {
if(Dmat) {
D_ik = k < i ? Dmat[i][k] : Dmat[k][i];
D_kj = Dmat[k][j];
} else if(Dfmat) {
D_ik = k < i ? Dfmat[i][k] : Dfmat[k][i];
D_kj = Dfmat[k][j];
} else if(Dsmat) {
D_ik = k < i ? Dsmat[i][k] : Dsmat[k][i];
D_ik = uctod(D_ik);
D_kj = uctod(Dsmat[k][j]);
} else {
D_ik = k < i ? Dbmat[i][k] : Dbmat[k][i];
D_ik = uctod(D_ik);
D_kj = uctod(Dbmat[k][j]);
}
if(0 <= D_ik && 0 <= D_kj) {
dist = (D_kj + D_ik) / 2;
if(Dmat) {
Dmat[k][j] = dist;
} else if(Dfmat) {
Dfmat[k][j] = dist;
} else if(Dsmat) {
Dsmat[k][j] = dtouc(dist, 0);
} else {
Dbmat[k][j] = dtouc(dist, 0);
}
/* update N and sD */
*++sDvec -= (D_ik + D_kj - dist);
--*++Nptr;
sd += dist;
++n;
} else if(0 <= D_ik) {
dist = D_ik;
if(Dmat) {
Dmat[k][j] = dist;
} else if(Dfmat) {
Dfmat[k][j] = dist;
} else if(Dsmat) {
Dsmat[k][j] = dtouc(dist, 0);
} else {
Dbmat[k][j] = dtouc(dist, 0);
}
/* update N and sD, sD(k) is new */
++sDvec;
++Nptr;
sd += D_ik;
++n;
} else if(0 <= D_kj) {
dist = D_kj;
/* update N and sD */
++sDvec;
--*++Nptr;
sd += D_kj;
++n;
} else {
dist = -1;
}
/* update Q and P */
++Qvec;
++P;
if(0 <= dist) {
if(dist < *Qvec) {
/* dist < *Qvec -> k < i */
*Qvec = dist;
*P = j;
if(min <= dist) {
min = dist;
p = k;
}
} else if(*P == i || *P == j) {
/* old dist will be <= new dist */
/* new dist will be >= old if *P == i v j */
if(dist == *Qvec) {
*P = j; /* d(i,k) == d(j,k) */
if(min <= dist) {
min = dist;
p = k;
}
} else {
*P = -1; /* mark as bounded row */
}
}
}
}
}
/* update N and sD for row j*/
N[j] = n;
sD->vec[j] = sd;
return p;
}
int updateFF(Matrix *D, Vector *sD, Vector *Q, int *N, int *P, int i, int j, double Li, double Lj) {
int k, n, p, Dn, *Nptr;
double min, dist, sd, D_ik, D_kj, *D_i, *D_j, **Dmat, *sDvec, *Qvec;
float *Df_i, *Df_j, **Dfmat;
short unsigned *Ds_i, *Ds_j, **Dsmat;
unsigned char *Db_i, *Db_j, **Dbmat;
/*
Furthest First
*/
/* init */
Qvec = Q->vec + j;
P += j;
*Qvec = DBL_MAX;
Dmat = 0;
D_i = 0;
D_j = 0;
Dfmat = 0;
Df_i = 0;
Df_j = 0;
Dsmat = 0;
Ds_i = 0;
Ds_j = 0;
Dbmat = 0;
Db_i = 0;
Db_j = 0;
if(D->mat) {
Dmat = D->mat;
D_i = Dmat[i] - 1;
D_j = Dmat[j] - 1;
} else if(D->fmat) {
Dfmat = D->fmat;
Df_i = Dfmat[i] - 1;
Df_j = Dfmat[j] - 1;
} else if(D->smat) {
Dsmat = D->smat;
Ds_i = Dsmat[i] - 1;
Ds_j = Dsmat[j] - 1;
} else {
Dbmat = D->bmat;
Db_i = Dbmat[i] - 1;
Db_j = Dbmat[j] - 1;
}
sDvec = sD->vec - 1;
Nptr = N - 1;
/* prepare upadate on N and sD */
n = 1;
sd = 0;
/* update (first) row */
for(k = 0; k < j; ++k) {
D_ik = D_i ? *++D_i : Df_i ? *++Df_i : Ds_i ? uctod(*++Ds_i) : uctod(*++Db_i);
D_kj = D_j ? *++D_j : Df_j ? *++Df_j : Ds_j ? uctod(*++Ds_j) : uctod(*++Db_j);
if(0 <= D_ik && 0 <= D_kj) {
dist = D_ik < D_kj ? D_kj : D_ik;
if(D_j) {
*D_j = dist;
} else if(Df_j) {
*Df_j = dist;
} else if(Ds_j) {
*Ds_j = dtouc(dist, 0);
} else {
*Db_j = dtouc(dist, 0);
}
/* update N and sD */
*++sDvec -= (D_ik + D_kj - dist);
sd += dist;
--*++Nptr;
++n;
} else if(0 <= D_ik) {
dist = D_ik;
if(D_j) {
*D_j = dist;
} else if(Df_j) {
*Df_j = dist;
} else if(Ds_j) {
*Ds_j = dtouc(dist, 0);
} else {
*Db_j = dtouc(dist, 0);
}
/* update N and sD, sD(k) is new */
++sDvec;
++Nptr;
sd += D_ik;
++n;
} else if(0 <= D_kj) {
dist = D_kj;
/* update N and sD */
++sDvec;
--*++Nptr;
sd += D_kj;
++n;
} else {
dist = -1;
}
/* update Q and P */
if(dist < *Qvec) {
*Qvec = dist;
*P = k;
}
}
/* save min */
min = *Qvec;
p = j;
/* update jth column */
++sDvec;
++Nptr;
Dn = i;
while(Dn != D->n) {
if(k == Dn) {
/* skip ith row */