static void eml_qrsolve(const emxArray_real_T *A, emxArray_real_T *B, emxArray_real_T *Y) { emxArray_real_T *b_A; real_T wj; real_T s; int32_T mn; int32_T nmip1; int32_T itemp; emxArray_real_T *tau; emxArray_int32_T *jpvt; emxArray_real_T *work; int32_T m; int32_T n; int32_T b_mn; emxArray_real_T *vn1; emxArray_real_T *vn2; int32_T k; int32_T ix; int32_T i; int32_T i_i; int32_T nmi; int32_T mmi; real_T rankR; real_T y; boolean_T exitg1; uint32_T unnamed_idx_0; b_emxInit_real_T(&b_A, 2); wj = (real_T)A->size[0]; s = (real_T)A->size[1]; if (wj <= s) { s = wj; } mn = (int32_T)s - 1; nmip1 = b_A->size[0] * b_A->size[1]; b_A->size[0] = A->size[0]; b_A->size[1] = A->size[1]; emxEnsureCapacity((emxArray__common *)b_A, nmip1, (int32_T)sizeof(real_T)); itemp = A->size[0] * A->size[1] - 1; for (nmip1 = 0; nmip1 <= itemp; nmip1++) { b_A->data[nmip1] = A->data[nmip1]; } emxInit_real_T(&tau, 1); emxInit_int32_T(&jpvt, 2); emxInit_real_T(&work, 1); m = A->size[0]; n = A->size[1]; if (m <= n) { b_mn = m; } else { b_mn = n; } nmip1 = tau->size[0]; tau->size[0] = b_mn; emxEnsureCapacity((emxArray__common *)tau, nmip1, (int32_T)sizeof(real_T)); eml_signed_integer_colon(n, jpvt); nmip1 = work->size[0]; work->size[0] = n; emxEnsureCapacity((emxArray__common *)work, nmip1, (int32_T)sizeof(real_T)); itemp = n - 1; for (nmip1 = 0; nmip1 <= itemp; nmip1++) { work->data[nmip1] = 0.0; } emxInit_real_T(&vn1, 1); emxInit_real_T(&vn2, 1); nmip1 = vn1->size[0]; vn1->size[0] = n; emxEnsureCapacity((emxArray__common *)vn1, nmip1, (int32_T)sizeof(real_T)); nmip1 = vn2->size[0]; vn2->size[0] = vn1->size[0]; emxEnsureCapacity((emxArray__common *)vn2, nmip1, (int32_T)sizeof(real_T)); k = 1; for (ix = 0; ix + 1 <= n; ix++) { vn1->data[ix] = eml_xnrm2(m, A, k); vn2->data[ix] = vn1->data[ix]; k += m; } for (i = 0; i + 1 <= b_mn; i++) { i_i = i + i * m; nmi = (n - i) - 1; mmi = (m - i) - 1; nmip1 = 1 + nmi; if (nmip1 < 1) { itemp = -1; } else { itemp = 0; if (nmip1 > 1) { ix = i; wj = fabs(vn1->data[i]); for (k = 2; k <= nmip1; k++) { ix++; s = fabs(vn1->data[ix]); if (s > wj) { itemp = k - 1; wj = s; } } } } nmip1 = i + itemp; if (nmip1 + 1 != i + 1) { eml_xswap(m, b_A, m * nmip1 + 1, 1, m * i + 1, 1); itemp = jpvt->data[nmip1]; jpvt->data[nmip1] = jpvt->data[i]; jpvt->data[i] = itemp; vn1->data[nmip1] = vn1->data[i]; vn2->data[nmip1] = vn2->data[i]; } if (i + 1 < m) { k = i_i + 2; rankR = b_A->data[i_i]; y = 0.0; if (mmi + 1 <= 0) { } else { wj = eml_xnrm2(mmi, b_A, k); if (wj != 0.0) { s = rt_hypotd_snf(fabs(b_A->data[i_i]), wj); if (b_A->data[i_i] >= 0.0) { s = -s; } if (fabs(s) < 1.0020841800044864E-292) { nmip1 = 0; do { nmip1++; eml_xscal(mmi, 9.9792015476736E+291, b_A, k); s *= 9.9792015476736E+291; rankR *= 9.9792015476736E+291; } while (!(fabs(s) >= 1.0020841800044864E-292)); wj = eml_xnrm2(mmi, b_A, k); s = rt_hypotd_snf(fabs(rankR), wj); if (rankR >= 0.0) { s = -s; } y = (s - rankR) / s; eml_xscal(mmi, 1.0 / (rankR - s), b_A, k); for (k = 1; k <= nmip1; k++) { s *= 1.0020841800044864E-292; } rankR = s; } else { y = (s - b_A->data[i_i]) / s; wj = 1.0 / (b_A->data[i_i] - s); eml_xscal(mmi, wj, b_A, k); rankR = s; } } } tau->data[i] = y; } else { wj = b_A->data[i_i]; rankR = b_A->data[i_i]; b_A->data[i_i] = wj; tau->data[i] = 0.0; } b_A->data[i_i] = rankR; if (i + 1 < n) { rankR = b_A->data[i_i]; b_A->data[i_i] = 1.0; eml_matlab_zlarf(mmi + 1, nmi, i_i + 1, tau->data[i], b_A, (i + (i + 1) * m) + 1, m, work); b_A->data[i_i] = rankR; } for (ix = i + 1; ix + 1 <= n; ix++) { if (vn1->data[ix] != 0.0) { s = fabs(b_A->data[i + b_A->size[0] * ix]) / vn1->data[ix]; y = s * s; s = 1.0 - s * s; if (1.0 - y < 0.0) { s = 0.0; } wj = vn1->data[ix] / vn2->data[ix]; if (s * (wj * wj) <= 1.4901161193847656E-8) { if (i + 1 < m) { k = (i + m * ix) + 1; y = 0.0; if (mmi < 1) { } else if (mmi == 1) { y = fabs(b_A->data[k]); } else { wj = 2.2250738585072014E-308; itemp = k + mmi; while (k + 1 <= itemp) { s = fabs(b_A->data[k]); if (s > wj) { rankR = wj / s; y = 1.0 + y * rankR * rankR; wj = s; } else { rankR = s / wj; y += rankR * rankR; } k++; } y = wj * sqrt(y); } vn1->data[ix] = y; vn2->data[ix] = vn1->data[ix]; } else { vn1->data[ix] = 0.0; vn2->data[ix] = 0.0; } } else { vn1->data[ix] *= sqrt(s); } } } } emxFree_real_T(&vn2); emxFree_real_T(&vn1); emxFree_real_T(&work); rankR = 0.0; k = 0; exitg1 = FALSE; while ((exitg1 == 0U) && (k <= mn)) { wj = (real_T)A->size[0]; s = (real_T)A->size[1]; if (wj >= s) { s = wj; } if (fabs(b_A->data[k + b_A->size[0] * k]) <= s * fabs(b_A->data[0]) * 2.2204460492503131E-16) { exitg1 = TRUE; } else { rankR++; k++; } } unnamed_idx_0 = (uint32_T)A->size[1]; nmip1 = Y->size[0]; Y->size[0] = (int32_T)unnamed_idx_0; emxEnsureCapacity((emxArray__common *)Y, nmip1, (int32_T)sizeof(real_T)); itemp = (int32_T)unnamed_idx_0 - 1; for (nmip1 = 0; nmip1 <= itemp; nmip1++) { Y->data[nmip1] = 0.0; } for (ix = 0; ix <= mn; ix++) { if (tau->data[ix] != 0.0) { wj = B->data[ix]; nmip1 = A->size[0] + (int32_T)(1.0 - ((1.0 + (real_T)ix) + 1.0)); for (i = 0; i <= nmip1 - 1; i++) { unnamed_idx_0 = ((uint32_T)ix + (uint32_T)i) + 2U; wj += b_A->data[((int32_T)unnamed_idx_0 + b_A->size[0] * ix) - 1] * B->data[(int32_T)unnamed_idx_0 - 1]; } wj *= tau->data[ix]; if (wj != 0.0) { B->data[ix] -= wj; nmip1 = A->size[0] + (int32_T)(1.0 - ((1.0 + (real_T)ix) + 1.0)); for (i = 0; i <= nmip1 - 1; i++) { unnamed_idx_0 = ((uint32_T)ix + (uint32_T)i) + 2U; B->data[(int32_T)unnamed_idx_0 - 1] -= b_A->data[((int32_T) unnamed_idx_0 + b_A->size[0] * ix) - 1] * wj; } } } } emxFree_real_T(&tau); for (i = 0; i <= (int32_T)rankR - 1; i++) { Y->data[jpvt->data[(int32_T)(1.0 + (real_T)i) - 1] - 1] = B->data[(int32_T) (1.0 + (real_T)i) - 1]; } for (ix = 0; ix <= (int32_T)-(1.0 + (-1.0 - rankR)) - 1; ix++) { wj = rankR + -(real_T)ix; Y->data[jpvt->data[(int32_T)wj - 1] - 1] = eml_div(Y->data[jpvt->data [(int32_T)wj - 1] - 1], b_A->data[((int32_T)wj + b_A->size[0] * ((int32_T) wj - 1)) - 1]); for (i = 0; i <= (int32_T)wj - 2; i++) { Y->data[jpvt->data[(int32_T)(1.0 + (real_T)i) - 1] - 1] -= Y->data [jpvt->data[(int32_T)wj - 1] - 1] * b_A->data[((int32_T)(1.0 + (real_T)i) + b_A->size[0] * ((int32_T)wj - 1)) - 1]; } } emxFree_int32_T(&jpvt); emxFree_real_T(&b_A); }
/* * Arguments : const double A[900] * double S[30] * Return Type : void */ static void eml_xgesvd(const double A[900], double S[30]) { double b_A[900]; double s[30]; double e[30]; double work[30]; int i; int q; double ztest0; int qs; int qjj; int m; double rt; double ztest; int iter; double tiny; 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], 900U * sizeof(double)); for (i = 0; i < 30; i++) { s[i] = 0.0; e[i] = 0.0; work[i] = 0.0; } for (q = 0; q < 29; q++) { i = q + 30 * q; ztest0 = eml_xnrm2(30 - q, b_A, i + 1); if (ztest0 > 0.0) { if (b_A[i] < 0.0) { s[q] = -ztest0; } else { s[q] = ztest0; } eml_xscal(30 - q, eml_div(1.0, s[q]), b_A, i + 1); b_A[i]++; s[q] = -s[q]; } else { s[q] = 0.0; } for (qs = q + 1; qs + 1 < 31; qs++) { qjj = q + 30 * qs; if (s[q] != 0.0) { eml_xaxpy(30 - q, -eml_div(eml_xdotc(30 - q, b_A, i + 1, b_A, qjj + 1), b_A[q + 30 * q]), i + 1, b_A, qjj + 1); } e[qs] = b_A[qjj]; } if (q + 1 <= 28) { ztest0 = b_eml_xnrm2(29 - 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; } b_eml_xscal(29 - q, eml_div(1.0, e[q]), e, q + 2); e[q + 1]++; } e[q] = -e[q]; if (e[q] != 0.0) { for (i = q + 1; i + 1 < 31; i++) { work[i] = 0.0; } for (qs = q + 1; qs + 1 < 31; qs++) { b_eml_xaxpy(29 - q, e[qs], b_A, (q + 30 * qs) + 2, work, q + 2); } for (qs = q + 1; qs + 1 < 31; qs++) { c_eml_xaxpy(29 - q, eml_div(-e[qs], e[q + 1]), work, q + 2, b_A, (q + 30 * qs) + 2); } } } } m = 28; s[29] = b_A[899]; e[28] = b_A[898]; e[29] = 0.0; for (q = 0; q < 30; q++) { ztest0 = e[q]; if (s[q] != 0.0) { rt = fabs(s[q]); ztest = eml_div(s[q], rt); s[q] = rt; if (q + 1 < 30) { ztest0 = eml_div(e[q], ztest); } } if ((q + 1 < 30) && (ztest0 != 0.0)) { rt = fabs(ztest0); ztest = eml_div(rt, ztest0); ztest0 = rt; s[q + 1] *= ztest; } e[q] = ztest0; } iter = 0; tiny = eml_div(2.2250738585072014E-308, 2.2204460492503131E-16); snorm = 0.0; for (i = 0; i < 30; i++) { ztest0 = fabs(s[i]); ztest = fabs(e[i]); if ((ztest0 >= ztest) || rtIsNaN(ztest)) { } else { ztest0 = ztest; } if ((snorm >= ztest0) || rtIsNaN(ztest0)) { } else { snorm = ztest0; } } while ((m + 2 > 0) && (!(iter >= 75))) { i = m; do { exitg3 = 0; q = i + 1; if (i + 1 == 0) { exitg3 = 1; } else { ztest0 = fabs(e[i]); if ((ztest0 <= 2.2204460492503131E-16 * (fabs(s[i]) + fabs(s[i + 1]))) || (ztest0 <= tiny) || ((iter > 20) && (ztest0 <= 2.2204460492503131E-16 * snorm))) { e[i] = 0.0; exitg3 = 1; } else { i--; } } } while (exitg3 == 0); if (i + 1 == m + 1) { i = 4; } else { qs = m + 2; qjj = m + 2; exitg2 = false; while ((!exitg2) && (qjj >= i + 1)) { qs = qjj; if (qjj == i + 1) { exitg2 = true; } else { ztest0 = 0.0; if (qjj < m + 2) { ztest0 = fabs(e[qjj - 1]); } if (qjj > i + 2) { ztest0 += fabs(e[qjj - 2]); } ztest = fabs(s[qjj - 1]); if ((ztest <= 2.2204460492503131E-16 * ztest0) || (ztest <= tiny)) { s[qjj - 1] = 0.0; exitg2 = true; } else { qjj--; } } } if (qs == i + 1) { i = 3; } else if (qs == m + 2) { i = 1; } else { i = 2; q = qs; } } switch (i) { case 1: f = e[m]; e[m] = 0.0; for (i = m; i + 1 >= q + 1; i--) { ztest0 = s[i]; eml_xrotg(&ztest0, &f, &ztest, &rt); s[i] = ztest0; if (i + 1 > q + 1) { f = -rt * e[i - 1]; e[i - 1] *= ztest; } } break; case 2: f = e[q - 1]; e[q - 1] = 0.0; while (q + 1 <= m + 2) { eml_xrotg(&s[q], &f, &ztest, &rt); f = -rt * e[q]; e[q] *= ztest; q++; } 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]); i = 1; mtmp = varargin_1[0]; if (rtIsNaN(varargin_1[0])) { qs = 2; exitg1 = false; while ((!exitg1) && (qs < 6)) { i = qs; if (!rtIsNaN(varargin_1[qs - 1])) { mtmp = varargin_1[qs - 1]; exitg1 = true; } else { qs++; } } } if (i < 5) { while (i + 1 < 6) { if (varargin_1[i] > mtmp) { mtmp = varargin_1[i]; } i++; } } f = eml_div(s[m + 1], mtmp); ztest0 = eml_div(s[m], mtmp); ztest = eml_div(e[m], mtmp); sqds = eml_div(s[q], mtmp); rt = eml_div((ztest0 + f) * (ztest0 - f) + ztest * ztest, 2.0); ztest0 = f * ztest; ztest0 *= ztest0; ztest = 0.0; if ((rt != 0.0) || (ztest0 != 0.0)) { ztest = sqrt(rt * rt + ztest0); if (rt < 0.0) { ztest = -ztest; } ztest = eml_div(ztest0, rt + ztest); } f = (sqds + f) * (sqds - f) + ztest; ztest0 = sqds * eml_div(e[q], mtmp); for (i = q + 1; i <= m + 1; i++) { eml_xrotg(&f, &ztest0, &ztest, &rt); if (i > q + 1) { e[i - 2] = f; } f = ztest * s[i - 1] + rt * e[i - 1]; e[i - 1] = ztest * e[i - 1] - rt * s[i - 1]; ztest0 = rt * s[i]; s[i] *= ztest; s[i - 1] = f; eml_xrotg(&s[i - 1], &ztest0, &ztest, &rt); f = ztest * e[i - 1] + rt * s[i]; s[i] = -rt * e[i - 1] + ztest * s[i]; ztest0 = rt * e[i]; e[i] *= ztest; } e[m] = f; iter++; break; default: if (s[q] < 0.0) { s[q] = -s[q]; } i = q + 1; while ((q + 1 < 30) && (s[q] < s[i])) { rt = s[q]; s[q] = s[i]; s[i] = rt; q = i; i++; } iter = 0; m--; break; } } memcpy(&S[0], &s[0], 30U * sizeof(double)); }
static void eml_xgesvd(const real32_T A[9], real32_T U[9], real32_T S[3], real32_T V[9]) { real32_T b_A[9]; int32_T i; real32_T s[3]; real32_T e[3]; real32_T work[3]; real32_T Vf[9]; int32_T q; int32_T qs; real32_T ztest0; int32_T ii; real32_T ztest; int32_T m; real32_T rt; 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; for (i = 0; i < 9; i++) { b_A[i] = A[i]; } for (i = 0; i < 3; i++) { s[i] = 0.0F; e[i] = 0.0F; work[i] = 0.0F; } for (i = 0; i < 9; i++) { U[i] = 0.0F; Vf[i] = 0.0F; } for (q = 0; q < 2; q++) { qs = q + 3 * q; ztest0 = eml_xnrm2(3 - q, b_A, qs + 1); if (ztest0 > 0.0F) { if (b_A[qs] < 0.0F) { s[q] = -ztest0; } else { s[q] = ztest0; } eml_xscal(3 - 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 < 4; ii++) { i = q + 3 * ii; if (s[q] != 0.0F) { ztest0 = -eml_div(eml_xdotc(3 - q, b_A, qs + 1, b_A, i + 1), b_A[q + 3 * q]); eml_xaxpy(3 - q, ztest0, qs + 1, b_A, i + 1); } e[ii] = b_A[i]; } for (ii = q; ii + 1 < 4; ii++) { U[ii + 3 * q] = b_A[ii + 3 * q]; } if (q + 1 <= 1) { ztest0 = b_eml_xnrm2(2, e, 2); if (ztest0 == 0.0F) { e[0] = 0.0F; } else { if (e[1] < 0.0F) { ztest = -ztest0; } else { ztest = ztest0; } if (e[1] < 0.0F) { e[0] = -ztest0; } else { e[0] = ztest0; } b_eml_xscal(2, b_eml_div(1.0, ztest), e, 2); e[1]++; } e[0] = -e[0]; if (e[0] != 0.0F) { for (ii = 2; ii < 4; ii++) { work[ii - 1] = 0.0F; } for (ii = 1; ii + 1 < 4; ii++) { b_eml_xaxpy(2, e[ii], b_A, 2 + 3 * ii, work, 2); } for (ii = 1; ii + 1 < 4; ii++) { c_eml_xaxpy(2, eml_div(-e[ii], e[1]), work, 2, b_A, 2 + 3 * ii); } } for (ii = 1; ii + 1 < 4; ii++) { Vf[ii] = e[ii]; } } } m = 1; s[2] = b_A[8]; e[1] = b_A[7]; e[2] = 0.0F; for (ii = 0; ii < 3; ii++) { U[6 + ii] = 0.0F; } U[8] = 1.0F; for (q = 1; q > -1; q += -1) { qs = q + 3 * q; if (s[q] != 0.0F) { for (ii = q + 1; ii + 1 < 4; ii++) { i = (q + 3 * ii) + 1; ztest0 = -eml_div(eml_xdotc(3 - q, U, qs + 1, U, i), U[qs]); eml_xaxpy(3 - q, ztest0, qs + 1, U, i); } for (ii = q; ii + 1 < 4; ii++) { U[ii + 3 * q] = -U[ii + 3 * q]; } U[qs]++; ii = 1; while (ii <= q) { U[3] = 0.0F; ii = 2; } } else { for (ii = 0; ii < 3; ii++) { U[ii + 3 * q] = 0.0F; } U[qs] = 1.0F; } } for (q = 2; q > -1; q += -1) { if ((q + 1 <= 1) && (e[0] != 0.0F)) { for (ii = 2; ii < 4; ii++) { i = 2 + 3 * (ii - 1); ztest0 = -eml_div(eml_xdotc(2, Vf, 2, Vf, i), Vf[1]); eml_xaxpy(2, ztest0, 2, Vf, i); } } for (ii = 0; ii < 3; ii++) { Vf[ii + 3 * q] = 0.0F; } Vf[q + 3 * q] = 1.0F; } for (q = 0; q < 3; 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 < 3) { ztest0 = eml_div(e[q], ztest); } eml_xscal(3, ztest, U, 3 * q + 1); } if ((q + 1 < 3) && (ztest0 != 0.0F)) { rt = (real32_T)fabs(ztest0); ztest = eml_div(rt, ztest0); ztest0 = rt; s[q + 1] *= ztest; eml_xscal(3, ztest, Vf, 3 * (q + 1) + 1); } e[q] = ztest0; } iter = 0; tiny = eml_div(1.17549435E-38F, 1.1920929E-7F); snorm = 0.0F; for (ii = 0; ii < 3; ii++) { ztest0 = (real32_T)fabs(s[ii]); ztest = (real32_T)fabs(e[ii]); if ((ztest0 >= ztest) || rtIsNaNF(ztest)) { ztest = ztest0; } if ((snorm >= ztest) || rtIsNaNF(ztest)) { } else { snorm = ztest; } } 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 (ii = m; ii + 1 >= q + 1; ii--) { ztest0 = s[ii]; eml_xrotg(&ztest0, &ztest, &rt, &sn); s[ii] = ztest0; if (ii + 1 > q + 1) { ztest = -sn * e[0]; e[0] *= rt; } eml_xrot(Vf, 3 * ii + 1, 3 * (m + 1) + 1, rt, sn); } break; case 2: ztest = e[q - 1]; e[q - 1] = 0.0F; for (ii = q; ii + 1 <= m + 2; ii++) { eml_xrotg(&s[ii], &ztest, &rt, &sn); ztest = -sn * e[ii]; e[ii] *= rt; eml_xrot(U, 3 * ii + 1, 3 * (q - 1) + 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])) { ii = 2; exitg1 = FALSE; while ((exitg1 == FALSE) && (ii < 6)) { i = ii; if (!rtIsNaNF(varargin_1[ii - 1])) { sn = varargin_1[ii - 1]; exitg1 = TRUE; } else { ii++; } } } 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 (ii = q + 1; ii <= m + 1; ii++) { eml_xrotg(&ztest, &ztest0, &rt, &sn); if (ii > q + 1) { e[0] = ztest; } ztest = rt * s[ii - 1]; ztest0 = sn * e[ii - 1]; e[ii - 1] = rt * e[ii - 1] - sn * s[ii - 1]; b = s[ii]; s[ii] *= rt; eml_xrot(Vf, 3 * (ii - 1) + 1, 3 * ii + 1, rt, sn); s[ii - 1] = ztest + ztest0; ztest0 = sn * b; eml_xrotg(&s[ii - 1], &ztest0, &rt, &sn); ztest = rt * e[ii - 1] + sn * s[ii]; s[ii] = -sn * e[ii - 1] + rt * s[ii]; ztest0 = sn * e[ii]; e[ii] *= rt; eml_xrot(U, 3 * (ii - 1) + 1, 3 * ii + 1, rt, sn); } e[m] = ztest; iter++; break; default: if (s[q] < 0.0F) { s[q] = -s[q]; eml_xscal(3, -1.0F, Vf, 3 * q + 1); } i = q + 1; while ((q + 1 < 3) && (s[q] < s[i])) { rt = s[q]; s[q] = s[i]; s[i] = rt; eml_xswap(Vf, 3 * q + 1, 3 * (q + 1) + 1); eml_xswap(U, 3 * q + 1, 3 * (q + 1) + 1); q = i; i++; } iter = 0; m--; break; } } for (ii = 0; ii < 3; ii++) { S[ii] = s[ii]; for (i = 0; i < 3; i++) { V[i + 3 * ii] = Vf[i + 3 * ii]; } } }
void eml_xgesvd(const float A[25], float U[25], float S[5], float V[25]) { float b_A[25]; float s[5]; float e[5]; float work[5]; int kase; int q; int iter; boolean_T apply_transform; float ztest0; int qp1jj; int qs; int m; float rt; float ztest; float snorm; int32_T exitg3; boolean_T exitg2; float f; float varargin_1[5]; float mtmp; boolean_T exitg1; float sqds; float mtmp_inv; for (int k=0;k<25;k++) b_A[k] = A[k]; //mem_fp_cpy(&b_A[0], &A[0], 25); //memcpy(&b_A[0], &A[0], 25U * sizeof(float)); for (kase = 0; kase < 5; kase++) { s[kase] = 0.0F; e[kase] = 0.0F; work[kase] = 0.0F; } for (kase = 0; kase < 25; kase++) { U[kase] = 0.0F; V[kase] = 0.0F; } for (q = 0; q < 4; q++) { iter = q + 5 * q; apply_transform = false; ztest0 = eml_xnrm2(5 - q, b_A, iter + 1); if (ztest0 > 0.0F) { apply_transform = true; if (b_A[iter] < 0.0F) { s[q] = -ztest0; } else { s[q] = ztest0; } if (fAbs(s[q]) >= 9.86076132E-32F) { ztest0 = fDiv(1.0F, s[q]); kase = (iter - q) + 5; for (qp1jj = iter; qp1jj + 1 <= kase; qp1jj++) { b_A[qp1jj] *= ztest0; } } else { kase = (iter - q) + 5; for (qp1jj = iter; qp1jj + 1 <= kase; qp1jj++) { b_A[qp1jj] = fDiv(b_A[qp1jj],s[q]); } } b_A[iter]++; s[q] = -s[q]; } else { s[q] = 0.0F; } for (qs = q + 1; qs + 1 < 6; qs++) { kase = q + 5 * qs; if (apply_transform) { eml_xaxpy(5 - q, -(fDiv(eml_xdotc(5 - q, b_A, iter + 1, b_A, kase + 1), b_A[q + 5 * q])), iter + 1, b_A, kase + 1); } e[qs] = b_A[kase]; } for (qp1jj = q; qp1jj + 1 < 6; qp1jj++) { U[qp1jj + 5 * q] = b_A[qp1jj + 5 * q]; } if (q + 1 <= 3) { ztest0 = b_eml_xnrm2(4 - 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 = e[q]; if (fAbs(e[q]) >= 9.86076132E-32F) { ztest0 = fDiv(1.0F, e[q]); for (qp1jj = q + 1; qp1jj + 1 < 6; qp1jj++) { e[qp1jj] *= ztest0; } } else { for (qp1jj = q + 1; qp1jj + 1 < 6; qp1jj++) { e[qp1jj] = fDiv(e[qp1jj],ztest0); } } e[q + 1]++; e[q] = -e[q]; for (qp1jj = q + 1; qp1jj + 1 < 6; qp1jj++) { work[qp1jj] = 0.0F; } for (qs = q + 1; qs + 1 < 6; qs++) { b_eml_xaxpy(4 - q, e[qs], b_A, (q + 5 * qs) + 2, work, q + 2); } for (qs = q + 1; qs + 1 < 6; qs++) { c_eml_xaxpy(4 - q, -fDiv(e[qs], e[q + 1]), work, q + 2, b_A, (q + 5 * qs) + 2); } } for (qp1jj = q + 1; qp1jj + 1 < 6; qp1jj++) { V[qp1jj + 5 * q] = e[qp1jj]; } } } m = 3; s[4] = b_A[24]; e[3] = b_A[23]; e[4] = 0.0F; for (qp1jj = 0; qp1jj < 5; qp1jj++) { U[20 + qp1jj] = 0.0F; } U[24] = 1.0F; for (q = 3; q > -1; q += -1) { iter = q + 5 * q; if (s[q] != 0.0F) { for (qs = q + 1; qs + 1 < 6; qs++) { kase = (q + 5 * qs) + 1; eml_xaxpy(5 - q, -(fDiv(eml_xdotc(5 - q, U, iter + 1, U, kase), U[iter])), iter + 1, U, kase); } for (qp1jj = q; qp1jj + 1 < 6; qp1jj++) { U[qp1jj + 5 * q] = -U[qp1jj + 5 * q]; } U[iter]++; for (qp1jj = 1; qp1jj <= q; qp1jj++) { U[(qp1jj + 5 * q) - 1] = 0.0F; } } else { for (qp1jj = 0; qp1jj < 5; qp1jj++) { U[qp1jj + 5 * q] = 0.0F; } U[iter] = 1.0F; } } for (q = 4; q > -1; q += -1) { if ((q + 1 <= 3) && (e[q] != 0.0F)) { kase = (q + 5 * q) + 2; for (qs = q + 1; qs + 1 < 6; qs++) { qp1jj = (q + 5 * qs) + 2; eml_xaxpy(4 - q, -(fDiv(eml_xdotc(4 - q, V, kase, V, qp1jj), V[kase - 1])), kase, V, qp1jj); } } for (qp1jj = 0; qp1jj < 5; qp1jj++) { V[qp1jj + 5 * q] = 0.0F; } V[q + 5 * q] = 1.0F; } for (q = 0; q < 5; q++) { ztest0 = e[q]; if (s[q] != 0.0F) { rt = fAbs(s[q]); ztest = fDiv(s[q], rt); s[q] = rt; if (q + 1 < 5) { ztest0 = fDiv(e[q], ztest); } eml_xscal(ztest, U, 1 + 5 * q); } if ((q + 1 < 5) && (ztest0 != 0.0F)) { rt = fAbs(ztest0); ztest = fDiv(rt, ztest0); ztest0 = rt; s[q + 1] *= ztest; eml_xscal(ztest, V, 1 + 5 * (q + 1)); } e[q] = ztest0; } iter = 0; snorm = 0.0F; for (qp1jj = 0; qp1jj < 5; qp1jj++) { ztest0 = fAbs(s[qp1jj]); ztest = fAbs(e[qp1jj]); if ((ztest0 >= ztest) || fIsNan(ztest)) { } else { ztest0 = ztest; } if ((snorm >= ztest0) || fIsNan(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 <= 1.1920929E-7F * (fAbs(s[qp1jj]) + fAbs(s[qp1jj + 1]))) || (ztest0 <= 9.86076132E-32F) || ((iter > 20) && (ztest0 <= 1.1920929E-7F * snorm))) { e[qp1jj] = 0.0F; 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 = 0.0F; 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 <= 1.1920929E-7F * ztest0) || (ztest <= 9.86076132E-32F)) { s[kase - 1] = 0.0F; 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] = 0.0F; 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 + 5 * qp1jj, 1 + 5 * (m + 1), ztest, rt); } break; case 2: f = e[q - 1]; e[q - 1] = 0.0F; for (qp1jj = q; qp1jj + 1 <= m + 2; qp1jj++) { eml_xrotg(&s[qp1jj], &f, &ztest, &rt); f = -rt * e[qp1jj]; e[qp1jj] *= ztest; eml_xrot(U, 1 + 5 * qp1jj, 1 + 5 * (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 (fIsNan(varargin_1[0])) { qp1jj = 2; exitg1 = false; while ((!exitg1) && (qp1jj < 6)) { kase = qp1jj; if (!fIsNan(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++; } } mtmp_inv = fDiv(1.0F,mtmp); f = s[m + 1] * mtmp_inv; ztest0 = s[m] * mtmp_inv; ztest = e[m] * mtmp_inv; sqds = s[q] * mtmp_inv; rt = ((ztest0 + f) * (ztest0 - f) + ztest * ztest) * 0.5F; ztest0 = f * ztest; ztest0 *= ztest0; if ((rt != 0.0F) || (ztest0 != 0.0F)) { ztest = fSqrt(rt * rt + ztest0); if (rt < 0.0F) { ztest = -ztest; } ztest = fDiv(ztest0, (rt + ztest)); } else { ztest = 0.0F; } f = (sqds + f) * (sqds - f) + ztest; ztest0 = sqds * fDiv(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 + 5 * (qp1jj - 1), 1 + 5 * 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; eml_xrot(U, 1 + 5 * (qp1jj - 1), 1 + 5 * qp1jj, ztest, rt); } e[m] = f; iter++; break; default: if (s[q] < 0.0F) { s[q] = -s[q]; eml_xscal(-1.0F, V, 1 + 5 * q); } kase = q + 1; while ((q + 1 < 5) && (s[q] < s[kase])) { rt = s[q]; s[q] = s[kase]; s[kase] = rt; eml_xswap(V, 1 + 5 * q, 1 + 5 * (q + 1)); eml_xswap(U, 1 + 5 * q, 1 + 5 * (q + 1)); q = kase; kase++; } iter = 0; m--; break; } } for (qp1jj = 0; qp1jj < 5; qp1jj++) { S[qp1jj] = s[qp1jj]; } }
static void eml_qrsolve(const emxArray_real_T *A, emxArray_real_T *B, double Y[2], double *rankR) { emxArray_real_T *b_A; int m; int mn; int i6; int itemp; int b_m; int b_mn; double tau_data[2]; signed char jpvt[2]; double work[2]; int i; int k; double vn1[2]; double vn2[2]; int pvt; double smax; int i_i; int mmi; double temp2; int ix; int iy; double atmp; 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], 2.0) - 1; i6 = b_A->size[0] * b_A->size[1]; b_A->size[0] = A->size[0]; b_A->size[1] = 2; emxEnsureCapacity((emxArray__common *)b_A, i6, (int)sizeof(double)); itemp = A->size[0] * A->size[1]; for (i6 = 0; i6 < itemp; i6++) { b_A->data[i6] = A->data[i6]; } b_m = b_A->size[0]; if (b_A->size[0] <= 2) { b_mn = b_A->size[0]; } else { b_mn = 2; } for (i6 = 0; i6 < 2; i6++) { jpvt[i6] = (signed char)(1 + i6); } if (b_A->size[0] == 0) { } else { for (i = 0; i < 2; i++) { work[i] = 0.0; } k = 1; for (pvt = 0; pvt < 2; pvt++) { smax = eml_xnrm2(b_m, b_A, k); vn2[pvt] = smax; k += b_m; vn1[pvt] = smax; } for (i = 0; i + 1 <= b_mn; i++) { i_i = i + i * b_m; mmi = (b_m - i) - 1; itemp = 0; if (2 - i > 1) { smax = fabs(vn1[i]); k = 2; while (k <= 2 - i) { temp2 = fabs(vn1[1]); if (temp2 > smax) { itemp = 1; smax = temp2; } k = 3; } } pvt = i + itemp; 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 = b_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) { pvt = 0; do { pvt++; 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 = b_eml_xnrm2(mmi, b_A, i_i + 2); smax = hypot(atmp, smax); if (atmp >= 0.0) { smax = -smax; } temp2 = (smax - atmp) / smax; eml_xscal(mmi, 1.0 / (atmp - smax), b_A, i_i + 2); for (k = 1; k <= pvt; k++) { smax *= 1.0020841800044864E-292; } atmp = smax; } else { temp2 = (smax - b_A->data[i_i]) / smax; 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 < 2) { atmp = b_A->data[i_i]; b_A->data[i_i] = 1.0; if (tau_data[0] != 0.0) { lastv = mmi + 1; itemp = i_i + mmi; while ((lastv > 0) && (b_A->data[itemp] == 0.0)) { lastv--; itemp--; } lastc = 1; exitg2 = false; while ((!exitg2) && (lastc > 0)) { itemp = b_m + 1; do { exitg1 = 0; if (itemp <= b_m + lastv) { if (b_A->data[itemp - 1] != 0.0) { exitg1 = 1; } else { itemp++; } } else { lastc = 0; exitg1 = 2; } } while (exitg1 == 0); if (exitg1 == 1) { exitg2 = true; } } } else { lastv = 0; lastc = 0; } if (lastv > 0) { if (lastc == 0) { } else { work[0] = 0.0; iy = 0; pvt = 1 + b_m; while ((b_m > 0) && (pvt <= b_m + 1)) { ix = i_i; smax = 0.0; i6 = (pvt + lastv) - 1; for (itemp = pvt; itemp <= i6; itemp++) { smax += b_A->data[itemp - 1] * b_A->data[ix]; ix++; } work[iy] += smax; iy++; pvt += b_m; } } if (-tau_data[0] == 0.0) { } else { k = b_m; iy = 0; pvt = 1; while (pvt <= lastc) { if (work[iy] != 0.0) { smax = work[iy] * -tau_data[0]; ix = i_i; i6 = lastv + k; for (itemp = k; itemp + 1 <= i6; itemp++) { b_A->data[itemp] += b_A->data[ix] * smax; ix++; } } iy++; k += b_m; pvt = 2; } } } b_A->data[i_i] = atmp; } pvt = i + 2; while (pvt < 3) { itemp = (i + b_m) + 1; if (vn1[1] != 0.0) { smax = fabs(b_A->data[i + b_A->size[0]]) / vn1[1]; smax = 1.0 - smax * smax; if (smax < 0.0) { smax = 0.0; } temp2 = vn1[1] / vn2[1]; 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[1] = smax; vn2[1] = smax; } else { vn1[1] = 0.0; vn2[1] = 0.0; } } else { vn1[1] *= sqrt(smax); } } pvt = 3; } } } *rankR = 0.0; if (mn + 1 > 0) { smax = fmax(A->size[0], 2.0) * 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 < 2; i++) { Y[i] = 0.0; } for (pvt = 0; pvt <= mn; pvt++) { if (tau_data[pvt] != 0.0) { smax = B->data[pvt]; i6 = m - pvt; for (i = 0; i <= i6; i++) { b_i = ((unsigned int)pvt + i) + 2U; smax += b_A->data[((int)b_i + b_A->size[0] * pvt) - 1] * B->data[(int) b_i - 1]; } smax *= tau_data[pvt]; if (smax != 0.0) { B->data[pvt] -= smax; i6 = m - pvt; for (i = 0; i <= i6; i++) { b_i = ((unsigned int)pvt + i) + 2U; B->data[(int)b_i - 1] -= b_A->data[((int)b_i + b_A->size[0] * pvt) - 1] * smax; } } } } for (i = 0; i <= mn; i++) { Y[jpvt[i] - 1] = B->data[i]; } for (pvt = 0; pvt <= mn; pvt++) { itemp = mn - pvt; Y[jpvt[itemp] - 1] /= b_A->data[itemp + b_A->size[0] * itemp]; i = 0; while (i <= itemp - 1) { Y[jpvt[0] - 1] -= Y[jpvt[itemp] - 1] * b_A->data[b_A->size[0] * itemp]; i = 1; } } emxFree_real_T(&b_A); }