static void c_eml_qrsolve(const emlrtStack *sp, const emxArray_real_T *A, emxArray_real_T *B, emxArray_real_T *Y) { emxArray_real_T *b_A; emxArray_real_T *work; int32_T mn; int32_T i51; int32_T ix; emxArray_real_T *tau; emxArray_int32_T *jpvt; int32_T m; int32_T n; int32_T b_mn; emxArray_real_T *vn1; emxArray_real_T *vn2; int32_T k; boolean_T overflow; boolean_T b12; int32_T i; int32_T i_i; int32_T nmi; int32_T mmi; int32_T pvt; int32_T iy; boolean_T b13; real_T xnorm; int32_T i52; real_T atmp; real_T d16; boolean_T b14; boolean_T b_i; ptrdiff_t n_t; ptrdiff_t incx_t; double * xix0_t; boolean_T exitg1; const mxArray *y; static const int32_T iv78[2] = { 1, 8 }; const mxArray *m14; char_T cv76[8]; static const char_T cv77[8] = { '%', '%', '%', 'd', '.', '%', 'd', 'e' }; char_T cv78[14]; uint32_T unnamed_idx_0; emlrtStack st; emlrtStack b_st; emlrtStack c_st; emlrtStack d_st; emlrtStack e_st; emlrtStack f_st; emlrtStack g_st; emlrtStack h_st; st.prev = sp; st.tls = sp->tls; b_st.prev = &st; b_st.tls = st.tls; c_st.prev = &b_st; c_st.tls = b_st.tls; d_st.prev = &c_st; d_st.tls = c_st.tls; e_st.prev = &d_st; e_st.tls = d_st.tls; f_st.prev = &e_st; f_st.tls = e_st.tls; g_st.prev = &f_st; g_st.tls = f_st.tls; h_st.prev = &g_st; h_st.tls = g_st.tls; emlrtHeapReferenceStackEnterFcnR2012b(sp); emxInit_real_T(sp, &b_A, 2, &m_emlrtRTEI, true); b_emxInit_real_T(sp, &work, 1, &rb_emlrtRTEI, true); mn = (int32_T)muDoubleScalarMin(A->size[0], A->size[1]); st.site = &mc_emlrtRSI; b_st.site = &nc_emlrtRSI; c_st.site = &oc_emlrtRSI; i51 = b_A->size[0] * b_A->size[1]; b_A->size[0] = A->size[0]; b_A->size[1] = A->size[1]; emxEnsureCapacity(&c_st, (emxArray__common *)b_A, i51, (int32_T)sizeof(real_T), &m_emlrtRTEI); ix = A->size[0] * A->size[1]; for (i51 = 0; i51 < ix; i51++) { b_A->data[i51] = A->data[i51]; } b_emxInit_real_T(&c_st, &tau, 1, &m_emlrtRTEI, true); b_emxInit_int32_T(&c_st, &jpvt, 2, &m_emlrtRTEI, true); m = b_A->size[0]; n = b_A->size[1]; b_mn = muIntScalarMin_sint32(b_A->size[0], b_A->size[1]); i51 = tau->size[0]; tau->size[0] = b_mn; emxEnsureCapacity(&c_st, (emxArray__common *)tau, i51, (int32_T)sizeof(real_T), &n_emlrtRTEI); d_st.site = &mf_emlrtRSI; e_st.site = &rb_emlrtRSI; f_st.site = &sb_emlrtRSI; g_st.site = &tb_emlrtRSI; eml_signed_integer_colon(&g_st, b_A->size[1], jpvt); if ((b_A->size[0] == 0) || (b_A->size[1] == 0)) { } else { ix = b_A->size[1]; i51 = work->size[0]; work->size[0] = ix; emxEnsureCapacity(&c_st, (emxArray__common *)work, i51, (int32_T)sizeof (real_T), &m_emlrtRTEI); for (i51 = 0; i51 < ix; i51++) { work->data[i51] = 0.0; } b_emxInit_real_T(&c_st, &vn1, 1, &pb_emlrtRTEI, true); b_emxInit_real_T(&c_st, &vn2, 1, &qb_emlrtRTEI, true); d_st.site = &tc_emlrtRSI; ix = b_A->size[1]; i51 = vn1->size[0]; vn1->size[0] = ix; emxEnsureCapacity(&c_st, (emxArray__common *)vn1, i51, (int32_T)sizeof (real_T), &pb_emlrtRTEI); i51 = vn2->size[0]; vn2->size[0] = ix; emxEnsureCapacity(&c_st, (emxArray__common *)vn2, i51, (int32_T)sizeof (real_T), &qb_emlrtRTEI); k = 1; d_st.site = &nf_emlrtRSI; overflow = (b_A->size[1] > 2147483646); if (overflow) { e_st.site = &db_emlrtRSI; check_forloop_overflow_error(&e_st); } for (ix = 0; ix + 1 <= b_A->size[1]; ix++) { d_st.site = &sc_emlrtRSI; vn1->data[ix] = b_eml_xnrm2(&d_st, b_A->size[0], b_A, k); vn2->data[ix] = vn1->data[ix]; k += b_A->size[0]; } d_st.site = &rc_emlrtRSI; if (1 > b_mn) { b12 = false; } else { b12 = (b_mn > 2147483646); } if (b12) { e_st.site = &db_emlrtRSI; check_forloop_overflow_error(&e_st); } for (i = 1; i <= b_mn; i++) { i_i = (i + (i - 1) * m) - 1; nmi = n - i; mmi = m - i; d_st.site = &of_emlrtRSI; ix = eml_ixamax(&d_st, 1 + nmi, vn1, i); pvt = (i + ix) - 2; if (pvt + 1 != i) { d_st.site = &pf_emlrtRSI; e_st.site = &bc_emlrtRSI; f_st.site = &cc_emlrtRSI; ix = 1 + m * pvt; iy = 1 + m * (i - 1); g_st.site = &dc_emlrtRSI; if (1 > m) { b13 = false; } else { b13 = (m > 2147483646); } if (b13) { h_st.site = &db_emlrtRSI; check_forloop_overflow_error(&h_st); } for (k = 1; k <= m; k++) { i51 = b_A->size[0] * b_A->size[1]; xnorm = b_A->data[emlrtDynamicBoundsCheckFastR2012b(ix, 1, i51, &le_emlrtBCI, &f_st) - 1]; i51 = b_A->size[0] * b_A->size[1]; i52 = b_A->size[0] * b_A->size[1]; b_A->data[emlrtDynamicBoundsCheckFastR2012b(ix, 1, i51, &le_emlrtBCI, &f_st) - 1] = b_A->data[emlrtDynamicBoundsCheckFastR2012b(iy, 1, i52, &le_emlrtBCI, &f_st) - 1]; i51 = b_A->size[0] * b_A->size[1]; b_A->data[emlrtDynamicBoundsCheckFastR2012b(iy, 1, i51, &le_emlrtBCI, &f_st) - 1] = xnorm; ix++; iy++; } ix = jpvt->data[pvt]; jpvt->data[pvt] = jpvt->data[i - 1]; jpvt->data[i - 1] = ix; vn1->data[pvt] = vn1->data[i - 1]; vn2->data[pvt] = vn2->data[i - 1]; } if (i < m) { d_st.site = &qc_emlrtRSI; atmp = b_A->data[i_i]; d16 = 0.0; if (1 + mmi <= 0) { } else { e_st.site = &wc_emlrtRSI; xnorm = b_eml_xnrm2(&e_st, mmi, b_A, i_i + 2); if (xnorm != 0.0) { xnorm = muDoubleScalarHypot(b_A->data[i_i], xnorm); if (b_A->data[i_i] >= 0.0) { xnorm = -xnorm; } if (muDoubleScalarAbs(xnorm) < 1.0020841800044864E-292) { ix = 0; do { ix++; e_st.site = &xc_emlrtRSI; b_eml_xscal(&e_st, mmi, 9.9792015476736E+291, b_A, i_i + 2); xnorm *= 9.9792015476736E+291; atmp *= 9.9792015476736E+291; } while (!(muDoubleScalarAbs(xnorm) >= 1.0020841800044864E-292)); e_st.site = &yc_emlrtRSI; xnorm = b_eml_xnrm2(&e_st, mmi, b_A, i_i + 2); xnorm = muDoubleScalarHypot(atmp, xnorm); if (atmp >= 0.0) { xnorm = -xnorm; } d16 = (xnorm - atmp) / xnorm; e_st.site = &ad_emlrtRSI; b_eml_xscal(&e_st, mmi, 1.0 / (atmp - xnorm), b_A, i_i + 2); e_st.site = &bd_emlrtRSI; if (1 > ix) { b14 = false; } else { b14 = (ix > 2147483646); } if (b14) { f_st.site = &db_emlrtRSI; check_forloop_overflow_error(&f_st); } for (k = 1; k <= ix; k++) { xnorm *= 1.0020841800044864E-292; } atmp = xnorm; } else { d16 = (xnorm - b_A->data[i_i]) / xnorm; atmp = 1.0 / (b_A->data[i_i] - xnorm); e_st.site = &cd_emlrtRSI; b_eml_xscal(&e_st, mmi, atmp, b_A, i_i + 2); atmp = xnorm; } } } tau->data[i - 1] = d16; } else { atmp = b_A->data[i_i]; d_st.site = &pc_emlrtRSI; tau->data[i - 1] = eml_matlab_zlarfg(); } b_A->data[i_i] = atmp; if (i < n) { atmp = b_A->data[i_i]; b_A->data[i_i] = 1.0; d_st.site = &qf_emlrtRSI; eml_matlab_zlarf(&d_st, mmi + 1, nmi, i_i + 1, tau->data[i - 1], b_A, i + i * m, m, work); b_A->data[i_i] = atmp; } d_st.site = &rf_emlrtRSI; if (i + 1 > n) { b_i = false; } else { b_i = (n > 2147483646); } if (b_i) { e_st.site = &db_emlrtRSI; check_forloop_overflow_error(&e_st); } for (ix = i; ix + 1 <= n; ix++) { if (vn1->data[ix] != 0.0) { xnorm = muDoubleScalarAbs(b_A->data[(i + b_A->size[0] * ix) - 1]) / vn1->data[ix]; xnorm = 1.0 - xnorm * xnorm; if (xnorm < 0.0) { xnorm = 0.0; } atmp = vn1->data[ix] / vn2->data[ix]; atmp = xnorm * (atmp * atmp); if (atmp <= 1.4901161193847656E-8) { if (i < m) { d_st.site = &sf_emlrtRSI; e_st.site = &uc_emlrtRSI; if (mmi < 1) { xnorm = 0.0; } else { f_st.site = &vc_emlrtRSI; g_st.site = &vc_emlrtRSI; n_t = (ptrdiff_t)(mmi); g_st.site = &vc_emlrtRSI; incx_t = (ptrdiff_t)(1); i51 = b_A->size[0] * b_A->size[1]; i52 = (i + m * ix) + 1; xix0_t = (double *)(&b_A->data[emlrtDynamicBoundsCheckFastR2012b (i52, 1, i51, &vb_emlrtBCI, &f_st) - 1]); xnorm = dnrm2(&n_t, xix0_t, &incx_t); } vn1->data[ix] = xnorm; vn2->data[ix] = vn1->data[ix]; } else { vn1->data[ix] = 0.0; vn2->data[ix] = 0.0; } } else { d_st.site = &tf_emlrtRSI; vn1->data[ix] *= muDoubleScalarSqrt(xnorm); } } } } emxFree_real_T(&vn2); emxFree_real_T(&vn1); } atmp = 0.0; if (mn > 0) { xnorm = muDoubleScalarMax(A->size[0], A->size[1]) * muDoubleScalarAbs (b_A->data[0]) * 2.2204460492503131E-16; k = 0; exitg1 = false; while ((!exitg1) && (k <= mn - 1)) { if (muDoubleScalarAbs(b_A->data[k + b_A->size[0] * k]) <= xnorm) { st.site = &lc_emlrtRSI; y = NULL; m14 = emlrtCreateCharArray(2, iv78); for (i = 0; i < 8; i++) { cv76[i] = cv77[i]; } emlrtInitCharArrayR2013a(&st, 8, m14, cv76); emlrtAssign(&y, m14); b_st.site = &tg_emlrtRSI; emlrt_marshallIn(&b_st, c_sprintf(&b_st, b_sprintf(&b_st, y, emlrt_marshallOut(14.0), emlrt_marshallOut(6.0), &o_emlrtMCI), emlrt_marshallOut(xnorm), &p_emlrtMCI), "sprintf", cv78); st.site = &kc_emlrtRSI; b_eml_warning(&st, atmp, cv78); exitg1 = true; } else { atmp++; k++; } } } unnamed_idx_0 = (uint32_T)A->size[1]; i51 = Y->size[0]; Y->size[0] = (int32_T)unnamed_idx_0; emxEnsureCapacity(sp, (emxArray__common *)Y, i51, (int32_T)sizeof(real_T), &m_emlrtRTEI); ix = (int32_T)unnamed_idx_0; for (i51 = 0; i51 < ix; i51++) { Y->data[i51] = 0.0; } for (ix = 0; ix < mn; ix++) { if (tau->data[ix] != 0.0) { xnorm = B->data[ix]; i51 = A->size[0] + (int32_T)(1.0 - ((1.0 + (real_T)ix) + 1.0)); emlrtForLoopVectorCheckR2012b((1.0 + (real_T)ix) + 1.0, 1.0, A->size[0], mxDOUBLE_CLASS, i51, &ac_emlrtRTEI, sp); for (i = 0; i < i51; i++) { unnamed_idx_0 = ((uint32_T)ix + i) + 2U; xnorm += b_A->data[((int32_T)unnamed_idx_0 + b_A->size[0] * ix) - 1] * B->data[(int32_T)unnamed_idx_0 - 1]; } xnorm *= tau->data[ix]; if (xnorm != 0.0) { B->data[ix] -= xnorm; i51 = A->size[0] + (int32_T)(1.0 - ((1.0 + (real_T)ix) + 1.0)); emlrtForLoopVectorCheckR2012b((1.0 + (real_T)ix) + 1.0, 1.0, A->size[0], mxDOUBLE_CLASS, i51, &yb_emlrtRTEI, sp); for (i = 0; i < i51; i++) { unnamed_idx_0 = ((uint32_T)ix + i) + 2U; B->data[(int32_T)unnamed_idx_0 - 1] -= b_A->data[((int32_T) unnamed_idx_0 + b_A->size[0] * ix) - 1] * xnorm; } } } } emxFree_real_T(&tau); emlrtForLoopVectorCheckR2012b(1.0, 1.0, atmp, mxDOUBLE_CLASS, (int32_T)atmp, &xb_emlrtRTEI, sp); for (i = 0; i < (int32_T)atmp; i++) { Y->data[jpvt->data[i] - 1] = B->data[i]; } emlrtForLoopVectorCheckR2012b(atmp, -1.0, 1.0, mxDOUBLE_CLASS, (int32_T)-(1.0 + (-1.0 - atmp)), &wb_emlrtRTEI, sp); for (ix = 0; ix < (int32_T)-(1.0 + (-1.0 - atmp)); ix++) { xnorm = atmp + -(real_T)ix; Y->data[jpvt->data[(int32_T)xnorm - 1] - 1] = eml_div(Y->data[jpvt->data [(int32_T)xnorm - 1] - 1], b_A->data[((int32_T)xnorm + b_A->size[0] * ((int32_T)xnorm - 1)) - 1]); for (i = 0; i < (int32_T)(xnorm - 1.0); i++) { Y->data[jpvt->data[i] - 1] -= Y->data[jpvt->data[(int32_T)xnorm - 1] - 1] * b_A->data[i + b_A->size[0] * ((int32_T)xnorm - 1)]; } } emxFree_int32_T(&jpvt); emxFree_real_T(&work); emxFree_real_T(&b_A); emlrtHeapReferenceStackLeaveFcnR2012b(sp); }
void b_mpower(const emlrtStack *sp, const real_T a[36], real_T c[36]) { real_T x[36]; int32_T jBcol; int32_T ipiv[6]; int8_T p[6]; int32_T k; int32_T j; int32_T i; int32_T kAcol; real_T n1x; real_T n1xinv; real_T rc; static const char_T rfmt[6] = { '%', '1', '4', '.', '6', 'e' }; char_T u[6]; const mxArray *y; static const int32_T iv4[2] = { 1, 6 }; const mxArray *m0; const mxArray *b_y; char_T cv0[14]; emlrtStack st; emlrtStack b_st; emlrtStack c_st; emlrtStack d_st; emlrtStack e_st; emlrtStack f_st; st.prev = sp; st.tls = sp->tls; st.site = &l_emlrtRSI; b_st.prev = &st; b_st.tls = st.tls; c_st.prev = &b_st; c_st.tls = b_st.tls; d_st.prev = &c_st; d_st.tls = c_st.tls; e_st.prev = &d_st; e_st.tls = d_st.tls; f_st.prev = &e_st; f_st.tls = e_st.tls; b_st.site = &m_emlrtRSI; c_st.site = &n_emlrtRSI; c_st.site = &o_emlrtRSI; d_st.site = &p_emlrtRSI; for (jBcol = 0; jBcol < 36; jBcol++) { c[jBcol] = 0.0; x[jBcol] = a[jBcol]; } e_st.site = &r_emlrtRSI; xgetrf(&e_st, x, ipiv); for (jBcol = 0; jBcol < 6; jBcol++) { p[jBcol] = (int8_T)(1 + jBcol); } for (k = 0; k < 5; k++) { if (ipiv[k] > 1 + k) { jBcol = p[ipiv[k] - 1]; p[ipiv[k] - 1] = p[k]; p[k] = (int8_T)jBcol; } } for (k = 0; k < 6; k++) { jBcol = p[k] - 1; c[k + 6 * (p[k] - 1)] = 1.0; e_st.site = &s_emlrtRSI; for (j = k; j + 1 < 7; j++) { if (c[j + 6 * jBcol] != 0.0) { e_st.site = &t_emlrtRSI; for (i = j + 1; i + 1 < 7; i++) { c[i + 6 * jBcol] -= c[j + 6 * jBcol] * x[i + 6 * j]; } } } } e_st.site = &u_emlrtRSI; f_st.site = &ib_emlrtRSI; for (j = 0; j < 6; j++) { jBcol = 6 * j; for (k = 5; k >= 0; k += -1) { kAcol = 6 * k; if (c[k + jBcol] != 0.0) { c[k + jBcol] /= x[k + kAcol]; for (i = 0; i + 1 <= k; i++) { c[i + jBcol] -= c[k + jBcol] * x[i + kAcol]; } } } } d_st.site = &q_emlrtRSI; n1x = norm(a); n1xinv = norm(c); rc = 1.0 / (n1x * n1xinv); if ((n1x == 0.0) || (n1xinv == 0.0) || (rc == 0.0)) { e_st.site = &kb_emlrtRSI; warning(&e_st); } else { if (muDoubleScalarIsNaN(rc) || (rc < 2.2204460492503131E-16)) { e_st.site = &lb_emlrtRSI; for (jBcol = 0; jBcol < 6; jBcol++) { u[jBcol] = rfmt[jBcol]; } y = NULL; m0 = emlrtCreateCharArray(2, iv4); emlrtInitCharArrayR2013a(&e_st, 6, m0, &u[0]); emlrtAssign(&y, m0); b_y = NULL; m0 = emlrtCreateDoubleScalar(rc); emlrtAssign(&b_y, m0); f_st.site = &pb_emlrtRSI; emlrt_marshallIn(&f_st, b_sprintf(&f_st, y, b_y, &c_emlrtMCI), "sprintf", cv0); e_st.site = &lb_emlrtRSI; b_warning(&e_st, cv0); } } }