//
// Arguments : const double A[476]
// double U[476]
// double S[17]
// double V[289]
// Return Type : void
//
static void eml_xgesvd(const double A[476], double U[476], double S[17], double
V[289])
{
double b_A[476];
double s[17];
double e[17];
int kase;
double work[28];
int q;
int iter;
boolean_T apply_transform;
double ztest0;
int qp1jj;
int qs;
int m;
double rt;
double ztest;
double snorm;
int32_T exitg3;
boolean_T exitg2;
double f;
double varargin_1[5];
double mtmp;
boolean_T exitg1;
double sqds;
memcpy(&b_A[0], &A[0], 476U * sizeof(double));
for (kase = 0; kase < 17; kase++) {
s[kase] = 0.0;
e[kase] = 0.0;
}
memset(&work[0], 0, 28U * sizeof(double));
memset(&U[0], 0, 476U * sizeof(double));
memset(&V[0], 0, 289U * sizeof(double));
for (q = 0; q < 17; q++) {
iter = q + 28 * q;
apply_transform = false;
ztest0 = c_eml_xnrm2(28 - q, b_A, iter + 1);
if (ztest0 > 0.0) {
apply_transform = true;
if (b_A[iter] < 0.0) {
s[q] = -ztest0;
} else {
s[q] = ztest0;
}
if (fabs(s[q]) >= 1.0020841800044864E-292) {
ztest0 = 1.0 / s[q];
kase = (iter - q) + 28;
for (qp1jj = iter; qp1jj + 1 <= kase; qp1jj++) {
b_A[qp1jj] *= ztest0;
}
} else {
kase = (iter - q) + 28;
for (qp1jj = iter; qp1jj + 1 <= kase; qp1jj++) {
b_A[qp1jj] /= s[q];
}
}
b_A[iter]++;
s[q] = -s[q];
} else {
s[q] = 0.0;
}
for (qs = q + 1; qs + 1 < 18; qs++) {
kase = q + 28 * qs;
if (apply_transform) {
eml_xaxpy(28 - q, -(eml_xdotc(28 - q, b_A, iter + 1, b_A, kase + 1) /
b_A[q + 28 * q]), iter + 1, b_A, kase + 1);
}
e[qs] = b_A[kase];
}
for (qp1jj = q; qp1jj + 1 < 29; qp1jj++) {
U[qp1jj + 28 * q] = b_A[qp1jj + 28 * q];
}
if (q + 1 <= 15) {
ztest0 = d_eml_xnrm2(16 - q, e, q + 2);
if (ztest0 == 0.0) {
e[q] = 0.0;
} else {
if (e[q + 1] < 0.0) {
e[q] = -ztest0;
} else {
e[q] = ztest0;
}
ztest0 = e[q];
if (fabs(e[q]) >= 1.0020841800044864E-292) {
ztest0 = 1.0 / e[q];
for (qp1jj = q + 1; qp1jj + 1 < 18; qp1jj++) {
e[qp1jj] *= ztest0;
}
} else {
for (qp1jj = q + 1; qp1jj + 1 < 18; qp1jj++) {
e[qp1jj] /= ztest0;
}
}
e[q + 1]++;
e[q] = -e[q];
for (qp1jj = q + 1; qp1jj + 1 < 29; qp1jj++) {
work[qp1jj] = 0.0;
}
for (qs = q + 1; qs + 1 < 18; qs++) {
b_eml_xaxpy(27 - q, e[qs], b_A, (q + 28 * qs) + 2, work, q + 2);
}
for (qs = q + 1; qs + 1 < 18; qs++) {
c_eml_xaxpy(27 - q, -e[qs] / e[q + 1], work, q + 2, b_A, (q + 28 * qs)
+ 2);
}
}
for (qp1jj = q + 1; qp1jj + 1 < 18; qp1jj++) {
V[qp1jj + 17 * q] = e[qp1jj];
}
}
}
m = 15;
e[15] = b_A[463];
e[16] = 0.0;
for (q = 16; q > -1; q += -1) {
iter = q + 28 * q;
if (s[q] != 0.0) {
for (qs = q + 1; qs + 1 < 18; qs++) {
kase = (q + 28 * qs) + 1;
eml_xaxpy(28 - q, -(eml_xdotc(28 - q, U, iter + 1, U, kase) / U[iter]),
iter + 1, U, kase);
}
for (qp1jj = q; qp1jj + 1 < 29; qp1jj++) {
U[qp1jj + 28 * q] = -U[qp1jj + 28 * q];
}
U[iter]++;
for (qp1jj = 1; qp1jj <= q; qp1jj++) {
U[(qp1jj + 28 * q) - 1] = 0.0;
}
} else {
memset(&U[28 * q], 0, 28U * sizeof(double));
U[iter] = 1.0;
}
}
for (q = 16; q > -1; q += -1) {
if ((q + 1 <= 15) && (e[q] != 0.0)) {
kase = (q + 17 * q) + 2;
for (qs = q + 1; qs + 1 < 18; qs++) {
qp1jj = (q + 17 * qs) + 2;
d_eml_xaxpy(16 - q, -(b_eml_xdotc(16 - q, V, kase, V, qp1jj) / V[kase -
1]), kase, V, qp1jj);
}
}
memset(&V[17 * q], 0, 17U * sizeof(double));
V[q + 17 * q] = 1.0;
}
for (q = 0; q < 17; q++) {
ztest0 = e[q];
if (s[q] != 0.0) {
rt = fabs(s[q]);
ztest = s[q] / rt;
s[q] = rt;
if (q + 1 < 17) {
ztest0 = e[q] / ztest;
}
b_eml_xscal(ztest, U, 1 + 28 * q);
}
if ((q + 1 < 17) && (ztest0 != 0.0)) {
rt = fabs(ztest0);
ztest = rt / ztest0;
ztest0 = rt;
s[q + 1] *= ztest;
c_eml_xscal(ztest, V, 1 + 17 * (q + 1));
}
e[q] = ztest0;
}
iter = 0;
snorm = 0.0;
for (qp1jj = 0; qp1jj < 17; qp1jj++) {
ztest0 = fabs(s[qp1jj]);
ztest = fabs(e[qp1jj]);
if ((ztest0 >= ztest) || rtIsNaN(ztest)) {
} else {
ztest0 = ztest;
}
if ((snorm >= ztest0) || rtIsNaN(ztest0)) {
} else {
snorm = ztest0;
}
}
while ((m + 2 > 0) && (!(iter >= 75))) {
qp1jj = m;
do {
exitg3 = 0;
q = qp1jj + 1;
if (qp1jj + 1 == 0) {
exitg3 = 1;
} else {
ztest0 = fabs(e[qp1jj]);
if ((ztest0 <= 2.2204460492503131E-16 * (fabs(s[qp1jj]) + fabs(s[qp1jj +
1]))) || (ztest0 <= 1.0020841800044864E-292) || ((iter > 20) &&
(ztest0 <= 2.2204460492503131E-16 * snorm))) {
e[qp1jj] = 0.0;
exitg3 = 1;
} else {
qp1jj--;
}
}
} while (exitg3 == 0);
if (qp1jj + 1 == m + 1) {
kase = 4;
} else {
qs = m + 2;
kase = m + 2;
exitg2 = false;
while ((!exitg2) && (kase >= qp1jj + 1)) {
qs = kase;
if (kase == qp1jj + 1) {
exitg2 = true;
} else {
ztest0 = 0.0;
if (kase < m + 2) {
ztest0 = fabs(e[kase - 1]);
}
if (kase > qp1jj + 2) {
ztest0 += fabs(e[kase - 2]);
}
ztest = fabs(s[kase - 1]);
if ((ztest <= 2.2204460492503131E-16 * ztest0) || (ztest <=
1.0020841800044864E-292)) {
s[kase - 1] = 0.0;
exitg2 = true;
} else {
kase--;
}
}
}
if (qs == qp1jj + 1) {
kase = 3;
} else if (qs == m + 2) {
kase = 1;
} else {
kase = 2;
q = qs;
}
}
switch (kase) {
case 1:
f = e[m];
e[m] = 0.0;
for (qp1jj = m; qp1jj + 1 >= q + 1; qp1jj--) {
ztest0 = s[qp1jj];
eml_xrotg(&ztest0, &f, &ztest, &rt);
s[qp1jj] = ztest0;
if (qp1jj + 1 > q + 1) {
f = -rt * e[qp1jj - 1];
e[qp1jj - 1] *= ztest;
}
eml_xrot(V, 1 + 17 * qp1jj, 1 + 17 * (m + 1), ztest, rt);
}
break;
case 2:
f = e[q - 1];
e[q - 1] = 0.0;
for (qp1jj = q; qp1jj + 1 <= m + 2; qp1jj++) {
eml_xrotg(&s[qp1jj], &f, &ztest, &rt);
f = -rt * e[qp1jj];
e[qp1jj] *= ztest;
b_eml_xrot(U, 1 + 28 * qp1jj, 1 + 28 * (q - 1), ztest, rt);
}
break;
case 3:
varargin_1[0] = fabs(s[m + 1]);
varargin_1[1] = fabs(s[m]);
varargin_1[2] = fabs(e[m]);
varargin_1[3] = fabs(s[q]);
varargin_1[4] = fabs(e[q]);
kase = 1;
mtmp = varargin_1[0];
if (rtIsNaN(varargin_1[0])) {
qp1jj = 2;
exitg1 = false;
while ((!exitg1) && (qp1jj < 6)) {
kase = qp1jj;
if (!rtIsNaN(varargin_1[qp1jj - 1])) {
mtmp = varargin_1[qp1jj - 1];
exitg1 = true;
} else {
qp1jj++;
}
}
}
if (kase < 5) {
while (kase + 1 < 6) {
if (varargin_1[kase] > mtmp) {
mtmp = varargin_1[kase];
}
kase++;
}
}
f = s[m + 1] / mtmp;
ztest0 = s[m] / mtmp;
ztest = e[m] / mtmp;
sqds = s[q] / mtmp;
rt = ((ztest0 + f) * (ztest0 - f) + ztest * ztest) / 2.0;
ztest0 = f * ztest;
ztest0 *= ztest0;
if ((rt != 0.0) || (ztest0 != 0.0)) {
ztest = sqrt(rt * rt + ztest0);
if (rt < 0.0) {
ztest = -ztest;
}
ztest = ztest0 / (rt + ztest);
} else {
ztest = 0.0;
}
f = (sqds + f) * (sqds - f) + ztest;
ztest0 = sqds * (e[q] / mtmp);
for (qp1jj = q + 1; qp1jj <= m + 1; qp1jj++) {
eml_xrotg(&f, &ztest0, &ztest, &rt);
if (qp1jj > q + 1) {
e[qp1jj - 2] = f;
}
f = ztest * s[qp1jj - 1] + rt * e[qp1jj - 1];
e[qp1jj - 1] = ztest * e[qp1jj - 1] - rt * s[qp1jj - 1];
ztest0 = rt * s[qp1jj];
s[qp1jj] *= ztest;
eml_xrot(V, 1 + 17 * (qp1jj - 1), 1 + 17 * qp1jj, ztest, rt);
s[qp1jj - 1] = f;
eml_xrotg(&s[qp1jj - 1], &ztest0, &ztest, &rt);
f = ztest * e[qp1jj - 1] + rt * s[qp1jj];
s[qp1jj] = -rt * e[qp1jj - 1] + ztest * s[qp1jj];
ztest0 = rt * e[qp1jj];
e[qp1jj] *= ztest;
b_eml_xrot(U, 1 + 28 * (qp1jj - 1), 1 + 28 * qp1jj, ztest, rt);
}
e[m] = f;
iter++;
break;
default:
if (s[q] < 0.0) {
s[q] = -s[q];
c_eml_xscal(-1.0, V, 1 + 17 * q);
}
kase = q + 1;
while ((q + 1 < 17) && (s[q] < s[kase])) {
rt = s[q];
s[q] = s[kase];
s[kase] = rt;
b_eml_xswap(V, 1 + 17 * q, 1 + 17 * (q + 1));
c_eml_xswap(U, 1 + 28 * q, 1 + 28 * (q + 1));
q = kase;
kase++;
}
iter = 0;
m--;
break;
}
}
memcpy(&S[0], &s[0], 17U * sizeof(double));
}
static void b_eml_xgesvd(const real32_T A[16], real32_T U[16], real32_T S[4],
real32_T V[16])
{
real32_T b_A[16];
real32_T s[4];
real32_T e[4];
real32_T work[4];
int32_T i;
real32_T Vf[16];
int32_T q;
int32_T qs;
real32_T ztest0;
int32_T ii;
int32_T m;
real32_T rt;
real32_T ztest;
int32_T iter;
real32_T tiny;
real32_T snorm;
int32_T exitg3;
boolean_T exitg2;
real32_T sn;
real32_T varargin_1[5];
boolean_T exitg1;
real32_T sqds;
real32_T b;
memcpy(&b_A[0], &A[0], sizeof(real32_T) << 4);
for (i = 0; i < 4; i++) {
s[i] = 0.0F;
e[i] = 0.0F;
work[i] = 0.0F;
}
for (i = 0; i < 16; i++) {
U[i] = 0.0F;
Vf[i] = 0.0F;
}
for (q = 0; q < 3; q++) {
qs = q + (q << 2);
ztest0 = c_eml_xnrm2(4 - q, b_A, qs + 1);
if (ztest0 > 0.0F) {
if (b_A[qs] < 0.0F) {
s[q] = -ztest0;
} else {
s[q] = ztest0;
}
c_eml_xscal(4 - q, b_eml_div(1.0, s[q]), b_A, qs + 1);
b_A[qs]++;
s[q] = -s[q];
} else {
s[q] = 0.0F;
}
for (ii = q + 1; ii + 1 < 5; ii++) {
i = q + (ii << 2);
if (s[q] != 0.0F) {
ztest0 = -eml_div(b_eml_xdotc(4 - q, b_A, qs + 1, b_A, i + 1), b_A[q +
(q << 2)]);
d_eml_xaxpy(4 - q, ztest0, qs + 1, b_A, i + 1);
}
e[ii] = b_A[i];
}
for (ii = q; ii + 1 < 5; ii++) {
U[ii + (q << 2)] = b_A[ii + (q << 2)];
}
if (q + 1 <= 2) {
ztest0 = d_eml_xnrm2(3 - q, e, q + 2);
if (ztest0 == 0.0F) {
e[q] = 0.0F;
} else {
if (e[q + 1] < 0.0F) {
e[q] = -ztest0;
} else {
e[q] = ztest0;
}
ztest0 = b_eml_div(1.0, e[q]);
d_eml_xscal(3 - q, ztest0, e, q + 2);
e[q + 1]++;
}
e[q] = -e[q];
if (e[q] != 0.0F) {
for (ii = q + 1; ii + 1 < 5; ii++) {
work[ii] = 0.0F;
}
for (ii = q + 1; ii + 1 < 5; ii++) {
e_eml_xaxpy(3 - q, e[ii], b_A, (q + (ii << 2)) + 2, work, q + 2);
}
for (ii = q + 1; ii + 1 < 5; ii++) {
f_eml_xaxpy(3 - q, eml_div(-e[ii], e[q + 1]), work, q + 2, b_A, (q +
(ii << 2)) + 2);
}
}
for (ii = q + 1; ii + 1 < 5; ii++) {
Vf[ii + (q << 2)] = e[ii];
}
}
}
m = 2;
s[3] = b_A[15];
e[2] = b_A[14];
e[3] = 0.0F;
for (ii = 0; ii < 4; ii++) {
U[12 + ii] = 0.0F;
}
U[15] = 1.0F;
for (q = 2; q > -1; q += -1) {
qs = q + (q << 2);
if (s[q] != 0.0F) {
for (ii = q + 1; ii + 1 < 5; ii++) {
i = (q + (ii << 2)) + 1;
ztest0 = -eml_div(b_eml_xdotc(4 - q, U, qs + 1, U, i), U[qs]);
d_eml_xaxpy(4 - q, ztest0, qs + 1, U, i);
}
for (ii = q; ii + 1 < 5; ii++) {
U[ii + (q << 2)] = -U[ii + (q << 2)];
}
U[qs]++;
for (ii = 1; ii <= q; ii++) {
U[(ii + (q << 2)) - 1] = 0.0F;
}
} else {
for (ii = 0; ii < 4; ii++) {
U[ii + (q << 2)] = 0.0F;
}
U[qs] = 1.0F;
}
}
for (q = 3; q > -1; q += -1) {
if ((q + 1 <= 2) && (e[q] != 0.0F)) {
i = (q + (q << 2)) + 2;
for (ii = q + 1; ii + 1 < 5; ii++) {
qs = (q + (ii << 2)) + 2;
ztest0 = -eml_div(b_eml_xdotc(3 - q, Vf, i, Vf, qs), Vf[i - 1]);
d_eml_xaxpy(3 - q, ztest0, i, Vf, qs);
}
}
for (ii = 0; ii < 4; ii++) {
Vf[ii + (q << 2)] = 0.0F;
}
Vf[q + (q << 2)] = 1.0F;
}
for (q = 0; q < 4; q++) {
ztest0 = e[q];
if (s[q] != 0.0F) {
rt = (real32_T)fabs(s[q]);
ztest = eml_div(s[q], rt);
s[q] = rt;
if (q + 1 < 4) {
ztest0 = eml_div(e[q], ztest);
}
c_eml_xscal(4, ztest, U, (q << 2) + 1);
}
if ((q + 1 < 4) && (ztest0 != 0.0F)) {
rt = (real32_T)fabs(ztest0);
ztest = eml_div(rt, ztest0);
ztest0 = rt;
s[q + 1] *= ztest;
c_eml_xscal(4, ztest, Vf, ((q + 1) << 2) + 1);
}
e[q] = ztest0;
}
iter = 0;
tiny = eml_div(1.17549435E-38F, 1.1920929E-7F);
snorm = 0.0F;
for (ii = 0; ii < 4; ii++) {
ztest0 = (real32_T)fabs(s[ii]);
ztest = (real32_T)fabs(e[ii]);
if ((ztest0 >= ztest) || rtIsNaNF(ztest)) {
} else {
ztest0 = ztest;
}
if ((snorm >= ztest0) || rtIsNaNF(ztest0)) {
} else {
snorm = ztest0;
}
}
while ((m + 2 > 0) && (!(iter >= 75))) {
ii = m;
do {
exitg3 = 0;
q = ii + 1;
if (ii + 1 == 0) {
exitg3 = 1;
} else {
ztest0 = (real32_T)fabs(e[ii]);
if ((ztest0 <= 1.1920929E-7F * ((real32_T)fabs(s[ii]) + (real32_T)fabs
(s[ii + 1]))) || (ztest0 <= tiny) || ((iter > 20) && (ztest0 <=
1.1920929E-7F * snorm))) {
e[ii] = 0.0F;
exitg3 = 1;
} else {
ii--;
}
}
} while (exitg3 == 0);
if (ii + 1 == m + 1) {
i = 4;
} else {
qs = m + 2;
i = m + 2;
exitg2 = FALSE;
while ((exitg2 == FALSE) && (i >= ii + 1)) {
qs = i;
if (i == ii + 1) {
exitg2 = TRUE;
} else {
ztest0 = 0.0F;
if (i < m + 2) {
ztest0 = (real32_T)fabs(e[i - 1]);
}
if (i > ii + 2) {
ztest0 += (real32_T)fabs(e[i - 2]);
}
ztest = (real32_T)fabs(s[i - 1]);
if ((ztest <= 1.1920929E-7F * ztest0) || (ztest <= tiny)) {
s[i - 1] = 0.0F;
exitg2 = TRUE;
} else {
i--;
}
}
}
if (qs == ii + 1) {
i = 3;
} else if (qs == m + 2) {
i = 1;
} else {
i = 2;
q = qs;
}
}
switch (i) {
case 1:
ztest = e[m];
e[m] = 0.0F;
for (qs = m; qs + 1 >= q + 1; qs--) {
ztest0 = s[qs];
eml_xrotg(&ztest0, &ztest, &rt, &sn);
s[qs] = ztest0;
if (qs + 1 > q + 1) {
ztest = -sn * e[qs - 1];
e[qs - 1] *= rt;
}
b_eml_xrot(Vf, (qs << 2) + 1, ((m + 1) << 2) + 1, rt, sn);
}
break;
case 2:
ztest = e[q - 1];
e[q - 1] = 0.0F;
for (qs = q; qs + 1 <= m + 2; qs++) {
eml_xrotg(&s[qs], &ztest, &rt, &sn);
ztest = -sn * e[qs];
e[qs] *= rt;
b_eml_xrot(U, (qs << 2) + 1, ((q - 1) << 2) + 1, rt, sn);
}
break;
case 3:
varargin_1[0] = (real32_T)fabs(s[m + 1]);
varargin_1[1] = (real32_T)fabs(s[m]);
varargin_1[2] = (real32_T)fabs(e[m]);
varargin_1[3] = (real32_T)fabs(s[q]);
varargin_1[4] = (real32_T)fabs(e[q]);
i = 1;
sn = varargin_1[0];
if (rtIsNaNF(varargin_1[0])) {
qs = 2;
exitg1 = FALSE;
while ((exitg1 == FALSE) && (qs < 6)) {
i = qs;
if (!rtIsNaNF(varargin_1[qs - 1])) {
sn = varargin_1[qs - 1];
exitg1 = TRUE;
} else {
qs++;
}
}
}
if (i < 5) {
while (i + 1 < 6) {
if (varargin_1[i] > sn) {
sn = varargin_1[i];
}
i++;
}
}
rt = eml_div(s[m + 1], sn);
ztest0 = eml_div(s[m], sn);
ztest = eml_div(e[m], sn);
sqds = eml_div(s[q], sn);
b = c_eml_div((ztest0 + rt) * (ztest0 - rt) + ztest * ztest, 2.0);
ztest0 = rt * ztest;
ztest0 *= ztest0;
ztest = 0.0F;
if ((b != 0.0F) || (ztest0 != 0.0F)) {
ztest = (real32_T)sqrt(b * b + ztest0);
if (b < 0.0F) {
ztest = -ztest;
}
ztest = eml_div(ztest0, b + ztest);
}
ztest += (sqds + rt) * (sqds - rt);
ztest0 = sqds * eml_div(e[q], sn);
for (qs = q + 1; qs <= m + 1; qs++) {
eml_xrotg(&ztest, &ztest0, &rt, &sn);
if (qs > q + 1) {
e[qs - 2] = ztest;
}
ztest0 = rt * s[qs - 1];
ztest = sn * e[qs - 1];
e[qs - 1] = rt * e[qs - 1] - sn * s[qs - 1];
b = s[qs];
s[qs] *= rt;
b_eml_xrot(Vf, ((qs - 1) << 2) + 1, (qs << 2) + 1, rt, sn);
s[qs - 1] = ztest0 + ztest;
ztest0 = sn * b;
eml_xrotg(&s[qs - 1], &ztest0, &rt, &sn);
ztest = rt * e[qs - 1] + sn * s[qs];
s[qs] = -sn * e[qs - 1] + rt * s[qs];
ztest0 = sn * e[qs];
e[qs] *= rt;
b_eml_xrot(U, ((qs - 1) << 2) + 1, (qs << 2) + 1, rt, sn);
}
e[m] = ztest;
iter++;
break;
default:
if (s[q] < 0.0F) {
s[q] = -s[q];
c_eml_xscal(4, -1.0F, Vf, (q << 2) + 1);
}
i = q + 1;
while ((q + 1 < 4) && (s[q] < s[i])) {
rt = s[q];
s[q] = s[i];
s[i] = rt;
b_eml_xswap(Vf, (q << 2) + 1, ((q + 1) << 2) + 1);
b_eml_xswap(U, (q << 2) + 1, ((q + 1) << 2) + 1);
q = i;
i++;
}
iter = 0;
m--;
break;
}
}
for (qs = 0; qs < 4; qs++) {
S[qs] = s[qs];
for (i = 0; i < 4; i++) {
V[i + (qs << 2)] = Vf[i + (qs << 2)];
}
}
}
static void eml_xgesvd(const emxArray_real_T *A, real_T S_data[10], int32_T
S_size[1])
{
emxArray_real_T *b_A;
int32_T mm;
int32_T kase;
int32_T n;
int32_T minnp;
real_T s_data[10];
real_T e[10];
emxArray_real_T *work;
int32_T nrt;
int32_T nct;
int32_T q;
int32_T qp1;
int32_T iter;
real_T ztest0;
int32_T qs;
int32_T mm1;
int32_T m;
real_T ztest;
real_T tiny;
real_T snorm;
boolean_T exitg3;
boolean_T exitg2;
real_T sn;
real_T sm;
real_T varargin_1[5];
boolean_T exitg1;
real_T sqds;
real_T b;
emxInit_real_T(&b_A, 2);
mm = b_A->size[0] * b_A->size[1];
b_A->size[0] = A->size[0];
b_A->size[1] = 10;
emxEnsureCapacity((emxArray__common *)b_A, mm, (int32_T)sizeof(real_T));
kase = A->size[0] * A->size[1] - 1;
for (mm = 0; mm <= kase; mm++) {
b_A->data[mm] = A->data[mm];
}
n = A->size[0];
if (n <= 10) {
minnp = n;
} else {
minnp = 10;
}
kase = n + 1;
if (kase <= 10) {
} else {
kase = 10;
}
kase--;
for (mm = 0; mm <= kase; mm++) {
s_data[mm] = 0.0;
}
memset(&e[0], 0, 10U * sizeof(real_T));
b_emxInit_real_T(&work, 1);
mm = work->size[0];
work->size[0] = n;
emxEnsureCapacity((emxArray__common *)work, mm, (int32_T)sizeof(real_T));
kase = n - 1;
for (mm = 0; mm <= kase; mm++) {
work->data[mm] = 0.0;
}
if (A->size[0] == 0) {
} else {
if (8 <= n) {
nrt = 8;
} else {
nrt = n;
}
if (n < 1) {
kase = 1;
} else {
kase = n;
}
nct = kase - 1;
if (nct <= 10) {
} else {
nct = 10;
}
if (nct >= nrt) {
mm = nct;
} else {
mm = nrt;
}
for (q = 0; q + 1 <= mm; q++) {
qp1 = q + 2;
kase = q + n * q;
iter = n - q;
if (q + 1 <= nct) {
ztest0 = c_eml_xnrm2(iter, b_A, kase + 1);
if (ztest0 > 0.0) {
if (b_A->data[kase] < 0.0) {
ztest0 = -ztest0;
}
s_data[q] = ztest0;
eml_xscal(iter, eml_div(1.0, s_data[q]), b_A, kase + 1);
b_A->data[kase]++;
s_data[q] = -s_data[q];
} else {
s_data[q] = 0.0;
}
}
for (qs = qp1; qs < 11; qs++) {
mm1 = q + n * (qs - 1);
if ((q + 1 <= nct) && (s_data[q] != 0.0)) {
ztest0 = eml_xdotc(iter, b_A, kase + 1, b_A, mm1 + 1);
ztest0 = -eml_div(ztest0, b_A->data[q + b_A->size[0] * q]);
eml_xaxpy(iter, ztest0, kase + 1, b_A, mm1 + 1);
}
e[qs - 1] = b_A->data[mm1];
}
if (q + 1 <= nrt) {
ztest0 = d_eml_xnrm2(9 - q, e, qp1);
if (ztest0 == 0.0) {
e[q] = 0.0;
} else {
if (e[qp1 - 1] < 0.0) {
ztest0 = -ztest0;
}
e[q] = ztest0;
b_eml_xscal(9 - q, eml_div(1.0, e[q]), e, qp1);
e[qp1 - 1]++;
}
e[q] = -e[q];
if ((qp1 <= n) && (e[q] != 0.0)) {
for (kase = qp1; kase <= n; kase++) {
work->data[kase - 1] = 0.0;
}
for (qs = qp1; qs < 11; qs++) {
b_eml_xaxpy(iter - 1, e[qs - 1], b_A, qp1 + n * (qs - 1), work, qp1);
}
for (qs = qp1; qs < 11; qs++) {
c_eml_xaxpy(iter - 1, eml_div(-e[qs - 1], e[qp1 - 1]), work, qp1,
b_A, qp1 + n * (qs - 1));
}
}
}
}
m = n + 1;
if (10 <= m) {
m = 10;
}
if (nct < 10) {
s_data[nct] = b_A->data[nct + b_A->size[0] * nct];
}
if (n < m) {
s_data[m - 1] = 0.0;
}
if (nrt + 1 < m) {
e[nrt] = b_A->data[nrt + b_A->size[0] * (m - 1)];
}
e[m - 1] = 0.0;
for (q = 0; q + 1 <= m; q++) {
if (s_data[q] != 0.0) {
ztest = fabs(s_data[q]);
ztest0 = eml_div(s_data[q], ztest);
s_data[q] = ztest;
if (q + 1 < m) {
e[q] = eml_div(e[q], ztest0);
}
}
if ((q + 1 < m) && (e[q] != 0.0)) {
ztest = fabs(e[q]);
ztest0 = eml_div(ztest, e[q]);
e[q] = ztest;
s_data[q + 1] *= ztest0;
}
}
mm = m;
iter = 0;
tiny = eml_div(2.2250738585072014E-308, 2.2204460492503131E-16);
snorm = 0.0;
for (kase = 0; kase + 1 <= m; kase++) {
ztest0 = fabs(s_data[kase]);
ztest = fabs(e[kase]);
if ((ztest0 >= ztest) || rtIsNaN(ztest)) {
ztest = ztest0;
}
if ((snorm >= ztest) || rtIsNaN(ztest)) {
} else {
snorm = ztest;
}
}
while ((m > 0) && (!(iter >= 75))) {
q = m - 1;
exitg3 = FALSE;
while (!((exitg3 == 1U) || (q == 0))) {
ztest0 = fabs(e[q - 1]);
if ((ztest0 <= 2.2204460492503131E-16 * (fabs(s_data[q - 1]) + fabs
(s_data[q]))) || (ztest0 <= tiny) || ((iter > 20) && (ztest0 <=
2.2204460492503131E-16 * snorm))) {
e[q - 1] = 0.0;
exitg3 = TRUE;
} else {
q--;
}
}
if (q == m - 1) {
kase = 4;
} else {
qs = m;
kase = m;
exitg2 = FALSE;
while ((exitg2 == 0U) && (kase >= q)) {
qs = kase;
if (kase == q) {
exitg2 = TRUE;
} else {
ztest0 = 0.0;
if (kase < m) {
ztest0 = fabs(e[kase - 1]);
}
if (kase > q + 1) {
ztest0 += fabs(e[kase - 2]);
}
ztest = fabs(s_data[kase - 1]);
if ((ztest <= 2.2204460492503131E-16 * ztest0) || (ztest <= tiny)) {
s_data[kase - 1] = 0.0;
exitg2 = TRUE;
} else {
kase--;
}
}
}
if (qs == q) {
kase = 3;
} else if (qs == m) {
kase = 1;
} else {
kase = 2;
q = qs;
}
}
switch (kase) {
case 1:
ztest = e[m - 2];
e[m - 2] = 0.0;
for (qs = m - 1; qs >= q + 1; qs--) {
ztest0 = s_data[qs - 1];
eml_xrotg(&ztest0, &ztest, &sm, &sn);
s_data[qs - 1] = ztest0;
if (qs > q + 1) {
kase = qs - 2;
ztest = -sn * e[kase];
e[kase] *= sm;
}
}
break;
case 2:
kase = q - 1;
ztest = e[kase];
e[kase] = 0.0;
while (q + 1 <= m) {
eml_xrotg(&s_data[q], &ztest, &sm, &sn);
ztest = -sn * e[q];
e[q] *= sm;
q++;
}
break;
case 3:
mm1 = m - 2;
varargin_1[0] = fabs(s_data[m - 1]);
varargin_1[1] = fabs(s_data[mm1]);
varargin_1[2] = fabs(e[mm1]);
varargin_1[3] = fabs(s_data[q]);
varargin_1[4] = fabs(e[q]);
kase = 1;
sn = varargin_1[0];
if (rtIsNaN(varargin_1[0])) {
qs = 2;
exitg1 = FALSE;
while ((exitg1 == 0U) && (qs < 6)) {
kase = qs;
if (!rtIsNaN(varargin_1[qs - 1])) {
sn = varargin_1[qs - 1];
exitg1 = TRUE;
} else {
qs++;
}
}
}
if (kase < 5) {
while (kase + 1 < 6) {
if (varargin_1[kase] > sn) {
sn = varargin_1[kase];
}
kase++;
}
}
sm = eml_div(s_data[m - 1], sn);
ztest0 = eml_div(s_data[mm1], sn);
ztest = eml_div(e[mm1], sn);
sqds = eml_div(s_data[q], sn);
b = eml_div((ztest0 + sm) * (ztest0 - sm) + ztest * ztest, 2.0);
ztest0 = sm * ztest;
ztest0 *= ztest0;
ztest = 0.0;
if ((b != 0.0) || (ztest0 != 0.0)) {
ztest = sqrt(b * b + ztest0);
if (b < 0.0) {
ztest = -ztest;
}
ztest = eml_div(ztest0, b + ztest);
}
ztest += (sqds + sm) * (sqds - sm);
ztest0 = sqds * eml_div(e[q], sn);
for (qs = q; qs + 1 <= mm1 + 1; qs++) {
kase = qs + 1;
eml_xrotg(&ztest, &ztest0, &sm, &sn);
if (qs + 1 > q + 1) {
e[qs - 1] = ztest;
}
ztest0 = sm * s_data[qs];
ztest = sn * e[qs];
e[qs] = sm * e[qs] - sn * s_data[qs];
b = s_data[kase];
s_data[kase] *= sm;
s_data[qs] = ztest0 + ztest;
ztest0 = sn * b;
eml_xrotg(&s_data[qs], &ztest0, &sm, &sn);
ztest = sm * e[qs] + sn * s_data[kase];
s_data[kase] = -sn * e[qs] + sm * s_data[kase];
ztest0 = sn * e[kase];
e[kase] *= sm;
}
e[m - 2] = ztest;
iter++;
break;
default:
if (s_data[q] < 0.0) {
s_data[q] = -s_data[q];
}
qp1 = q + 1;
while ((q + 1 < mm) && (s_data[q] < s_data[qp1])) {
ztest = s_data[q];
s_data[q] = s_data[qp1];
s_data[qp1] = ztest;
q = qp1;
qp1++;
}
iter = 0;
m--;
break;
}
}
}
emxFree_real_T(&work);
emxFree_real_T(&b_A);
S_size[0] = minnp;
for (qs = 0; qs + 1 <= minnp; qs++) {
S_data[qs] = s_data[qs];
}
}
/* Function Definitions */
static void b_eml_qrsolve(const emxArray_real_T *A, emxArray_real_T *B, double
Y[3], double *rankR)
{
emxArray_real_T *b_A;
int m;
int mn;
int i23;
int itemp;
int b_m;
int b_mn;
double tau_data[3];
signed char jpvt[3];
double work[3];
int i;
int k;
double vn1[3];
double vn2[3];
int iy;
double smax;
int i_i;
int mmi;
int ix;
double temp2;
int pvt;
double atmp;
int i_ip1;
int lastv;
int lastc;
boolean_T exitg2;
int32_T exitg1;
double t;
unsigned int b_i;
emxInit_real_T(&b_A, 2);
m = A->size[0] - 2;
mn = (int)fmin(A->size[0], 3.0) - 1;
i23 = b_A->size[0] * b_A->size[1];
b_A->size[0] = A->size[0];
b_A->size[1] = 3;
emxEnsureCapacity((emxArray__common *)b_A, i23, (int)sizeof(double));
itemp = A->size[0] * A->size[1];
for (i23 = 0; i23 < itemp; i23++) {
b_A->data[i23] = A->data[i23];
}
b_m = b_A->size[0];
if (b_A->size[0] <= 3) {
b_mn = b_A->size[0];
} else {
b_mn = 3;
}
for (i23 = 0; i23 < 3; i23++) {
jpvt[i23] = (signed char)(1 + i23);
}
if (b_A->size[0] == 0) {
} else {
for (i = 0; i < 3; i++) {
work[i] = 0.0;
}
k = 1;
for (iy = 0; iy < 3; iy++) {
smax = c_eml_xnrm2(b_m, b_A, k);
vn2[iy] = smax;
k += b_m;
vn1[iy] = smax;
}
for (i = 0; i + 1 <= b_mn; i++) {
i_i = i + i * b_m;
mmi = (b_m - i) - 1;
itemp = 1;
if (3 - i > 1) {
ix = i;
smax = fabs(vn1[i]);
for (k = 2; k <= 3 - i; k++) {
ix++;
temp2 = fabs(vn1[ix]);
if (temp2 > smax) {
itemp = k;
smax = temp2;
}
}
}
pvt = (i + itemp) - 1;
if (pvt + 1 != i + 1) {
ix = b_m * pvt;
iy = b_m * i;
for (k = 1; k <= b_m; k++) {
smax = b_A->data[ix];
b_A->data[ix] = b_A->data[iy];
b_A->data[iy] = smax;
ix++;
iy++;
}
itemp = jpvt[pvt];
jpvt[pvt] = jpvt[i];
jpvt[i] = (signed char)itemp;
vn1[pvt] = vn1[i];
vn2[pvt] = vn2[i];
}
if (i + 1 < b_m) {
atmp = b_A->data[i_i];
temp2 = 0.0;
if (1 + mmi <= 0) {
} else {
smax = d_eml_xnrm2(mmi, b_A, i_i + 2);
if (smax != 0.0) {
smax = hypot(b_A->data[i_i], smax);
if (b_A->data[i_i] >= 0.0) {
smax = -smax;
}
if (fabs(smax) < 1.0020841800044864E-292) {
itemp = 0;
do {
itemp++;
b_eml_xscal(mmi, 9.9792015476736E+291, b_A, i_i + 2);
smax *= 9.9792015476736E+291;
atmp *= 9.9792015476736E+291;
} while (!(fabs(smax) >= 1.0020841800044864E-292));
smax = d_eml_xnrm2(mmi, b_A, i_i + 2);
smax = hypot(atmp, smax);
if (atmp >= 0.0) {
smax = -smax;
}
temp2 = (smax - atmp) / smax;
b_eml_xscal(mmi, 1.0 / (atmp - smax), b_A, i_i + 2);
for (k = 1; k <= itemp; k++) {
smax *= 1.0020841800044864E-292;
}
atmp = smax;
} else {
temp2 = (smax - b_A->data[i_i]) / smax;
b_eml_xscal(mmi, 1.0 / (b_A->data[i_i] - smax), b_A, i_i + 2);
atmp = smax;
}
}
}
tau_data[i] = temp2;
} else {
atmp = b_A->data[i_i];
tau_data[i] = eml_matlab_zlarfg();
}
b_A->data[i_i] = atmp;
if (i + 1 < 3) {
atmp = b_A->data[i_i];
b_A->data[i_i] = 1.0;
i_ip1 = (i + (i + 1) * b_m) + 1;
if (tau_data[i] != 0.0) {
lastv = mmi;
itemp = i_i + mmi;
while ((lastv + 1 > 0) && (b_A->data[itemp] == 0.0)) {
lastv--;
itemp--;
}
lastc = 2 - i;
exitg2 = false;
while ((!exitg2) && (lastc > 0)) {
itemp = i_ip1 + (lastc - 1) * b_m;
k = itemp;
do {
exitg1 = 0;
if (k <= itemp + lastv) {
if (b_A->data[k - 1] != 0.0) {
exitg1 = 1;
} else {
k++;
}
} else {
lastc--;
exitg1 = 2;
}
} while (exitg1 == 0);
if (exitg1 == 1) {
exitg2 = true;
}
}
} else {
lastv = -1;
lastc = 0;
}
if (lastv + 1 > 0) {
if (lastc == 0) {
} else {
for (iy = 1; iy <= lastc; iy++) {
work[iy - 1] = 0.0;
}
iy = 0;
i23 = i_ip1 + b_m * (lastc - 1);
itemp = i_ip1;
while ((b_m > 0) && (itemp <= i23)) {
ix = i_i;
smax = 0.0;
pvt = itemp + lastv;
for (k = itemp; k <= pvt; k++) {
smax += b_A->data[k - 1] * b_A->data[ix];
ix++;
}
work[iy] += smax;
iy++;
itemp += b_m;
}
}
if (-tau_data[i] == 0.0) {
} else {
itemp = 0;
for (iy = 1; iy <= lastc; iy++) {
if (work[itemp] != 0.0) {
smax = work[itemp] * -tau_data[i];
ix = i_i;
i23 = lastv + i_ip1;
for (pvt = i_ip1; pvt <= i23; pvt++) {
b_A->data[pvt - 1] += b_A->data[ix] * smax;
ix++;
}
}
itemp++;
i_ip1 += b_m;
}
}
}
b_A->data[i_i] = atmp;
}
for (iy = i + 1; iy + 1 < 4; iy++) {
itemp = (i + b_m * iy) + 1;
if (vn1[iy] != 0.0) {
smax = fabs(b_A->data[i + b_A->size[0] * iy]) / vn1[iy];
smax = 1.0 - smax * smax;
if (smax < 0.0) {
smax = 0.0;
}
temp2 = vn1[iy] / vn2[iy];
temp2 = smax * (temp2 * temp2);
if (temp2 <= 1.4901161193847656E-8) {
if (i + 1 < b_m) {
smax = 0.0;
if (mmi < 1) {
} else if (mmi == 1) {
smax = fabs(b_A->data[itemp]);
} else {
temp2 = 2.2250738585072014E-308;
pvt = itemp + mmi;
while (itemp + 1 <= pvt) {
atmp = fabs(b_A->data[itemp]);
if (atmp > temp2) {
t = temp2 / atmp;
smax = 1.0 + smax * t * t;
temp2 = atmp;
} else {
t = atmp / temp2;
smax += t * t;
}
itemp++;
}
smax = temp2 * sqrt(smax);
}
vn1[iy] = smax;
vn2[iy] = vn1[iy];
} else {
vn1[iy] = 0.0;
vn2[iy] = 0.0;
}
} else {
vn1[iy] *= sqrt(smax);
}
}
}
}
}
*rankR = 0.0;
if (mn + 1 > 0) {
smax = fmax(A->size[0], 3.0) * fabs(b_A->data[0]) * 2.2204460492503131E-16;
k = 0;
while ((k <= mn) && (!(fabs(b_A->data[k + b_A->size[0] * k]) <= smax))) {
(*rankR)++;
k++;
}
}
for (i = 0; i < 3; i++) {
Y[i] = 0.0;
}
for (iy = 0; iy <= mn; iy++) {
if (tau_data[iy] != 0.0) {
smax = B->data[iy];
i23 = m - iy;
for (i = 0; i <= i23; i++) {
b_i = ((unsigned int)iy + i) + 2U;
smax += b_A->data[((int)b_i + b_A->size[0] * iy) - 1] * B->data[(int)b_i
- 1];
}
smax *= tau_data[iy];
if (smax != 0.0) {
B->data[iy] -= smax;
i23 = m - iy;
for (i = 0; i <= i23; i++) {
b_i = ((unsigned int)iy + i) + 2U;
B->data[(int)b_i - 1] -= b_A->data[((int)b_i + b_A->size[0] * iy) - 1]
* smax;
}
}
}
}
for (i = 0; i <= mn; i++) {
Y[jpvt[i] - 1] = B->data[i];
}
for (iy = 0; iy <= mn; iy++) {
itemp = mn - iy;
Y[jpvt[itemp] - 1] /= b_A->data[itemp + b_A->size[0] * itemp];
for (i = 0; i < itemp; i++) {
Y[jpvt[i] - 1] -= Y[jpvt[itemp] - 1] * b_A->data[i + b_A->size[0] * itemp];
}
}
emxFree_real_T(&b_A);
}
