Mercurial > octave
view liboctave/operators/Sparse-op-defs.h @ 33586:3216c01fd6a7 stable tip
fix dragging editor from main window into floating state (bug #65725)
* file-editor.cc (toplevel_changes): added missing call to original
slot octave_doc_widget::toplevel_changed
| author | Torsten Lilge <ttl-octave@mailbox.org> |
|---|---|
| date | Tue, 14 May 2024 22:03:47 +0200 |
| parents | 2e484f9f1f18 |
| children |
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//////////////////////////////////////////////////////////////////////// // // Copyright (C) 1998-2024 The Octave Project Developers // // See the file COPYRIGHT.md in the top-level directory of this // distribution or <https://octave.org/copyright/>. // // This file is part of Octave. // // Octave is free software: you can redistribute it and/or modify it // under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // // Octave is distributed in the hope that it will be useful, but // WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with Octave; see the file COPYING. If not, see // <https://www.gnu.org/licenses/>. // //////////////////////////////////////////////////////////////////////// #if ! defined (octave_Sparse_op_defs_h) #define octave_Sparse_op_defs_h 1 #include "octave-config.h" #include "Array-util.h" #include "lo-array-errwarn.h" #include "mx-inlines.cc" #include "oct-locbuf.h" // sparse matrix by scalar operations. #define SPARSE_SMS_BIN_OP_1(R, F, OP, M, S) \ R \ F (const M& m, const S& s) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ \ R r (nr, nc, (0.0 OP s)); \ \ for (octave_idx_type j = 0; j < nc; j++) \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ r.xelem (m.ridx (i), j) = m.data (i) OP s; \ return r; \ } #define SPARSE_SMS_BIN_OP_2(R, F, OP, M, S) \ R \ F (const M& m, const S& s) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ octave_idx_type nz = m.nnz (); \ \ R r (nr, nc, nz); \ \ for (octave_idx_type i = 0; i < nz; i++) \ { \ r.xdata (i) = m.data (i) OP s; \ r.xridx (i) = m.ridx (i); \ } \ for (octave_idx_type i = 0; i < nc + 1; i++) \ r.xcidx (i) = m.cidx (i); \ \ r.maybe_compress (true); \ return r; \ } #define SPARSE_SMS_BIN_OPS(R1, R2, M, S) \ SPARSE_SMS_BIN_OP_1 (R1, operator +, +, M, S) \ SPARSE_SMS_BIN_OP_1 (R1, operator -, -, M, S) \ SPARSE_SMS_BIN_OP_2 (R2, operator *, *, M, S) \ SPARSE_SMS_BIN_OP_2 (R2, operator /, /, M, S) #define SPARSE_SMS_CMP_OP(F, OP, M, S) \ SparseBoolMatrix \ F (const M& m, const S& s) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ SparseBoolMatrix r; \ \ M::element_type m_zero = M::element_type (); \ \ if (m_zero OP s) \ { \ r = SparseBoolMatrix (nr, nc, true); \ for (octave_idx_type j = 0; j < nc; j++) \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (! (m.data (i) OP s)) \ r.data (m.ridx (i) + j * nr) = false; \ r.maybe_compress (true); \ } \ else \ { \ r = SparseBoolMatrix (nr, nc, m.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < nc; j++) \ { \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (m.data (i) OP s) \ { \ r.ridx (nel) = m.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ return r; \ } #define SPARSE_SMS_CMP_OPS(M, S) \ SPARSE_SMS_CMP_OP (mx_el_lt, <, M, S) \ SPARSE_SMS_CMP_OP (mx_el_le, <=, M, S) \ SPARSE_SMS_CMP_OP (mx_el_ge, >=, M, S) \ SPARSE_SMS_CMP_OP (mx_el_gt, >, M, S) \ SPARSE_SMS_CMP_OP (mx_el_eq, ==, M, S) \ SPARSE_SMS_CMP_OP (mx_el_ne, !=, M, S) #define SPARSE_SMS_EQNE_OPS(M, S) \ SPARSE_SMS_CMP_OP (mx_el_eq, ==, M, S) \ SPARSE_SMS_CMP_OP (mx_el_ne, !=, M, S) #define SPARSE_SMS_BOOL_OR_OP(M, S) \ SparseBoolMatrix \ mx_el_or (const M& m, const S& s) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ SparseBoolMatrix r; \ \ M::element_type lhs_zero = M::element_type (); \ S rhs_zero = S (); \ \ if (nr > 0 && nc > 0) \ { \ if (s != rhs_zero) \ r = SparseBoolMatrix (nr, nc, true); \ else \ { \ r = SparseBoolMatrix (nr, nc, m.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < nc; j++) \ { \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (m.data (i) != lhs_zero) \ { \ r.ridx (nel) = m.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ } \ return r; \ } #define SPARSE_SMS_BOOL_AND_OP(M, S) \ SparseBoolMatrix \ mx_el_and (const M& m, const S& s) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ SparseBoolMatrix r; \ \ M::element_type lhs_zero = M::element_type (); \ S rhs_zero = S (); \ \ if (nr > 0 && nc > 0) \ { \ if (s != rhs_zero) \ { \ r = SparseBoolMatrix (nr, nc, m.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < nc; j++) \ { \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (m.data (i) != lhs_zero) \ { \ r.ridx (nel) = m.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ else \ r = SparseBoolMatrix (nr, nc); \ } \ return r; \ } #define SPARSE_SMS_BOOL_OPS(M, S) \ SPARSE_SMS_BOOL_AND_OP (M, S) \ SPARSE_SMS_BOOL_OR_OP (M, S) // scalar by sparse matrix operations. #define SPARSE_SSM_BIN_OP_1(R, F, OP, S, M) \ R \ F (const S& s, const M& m) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ \ R r (nr, nc, (s OP 0.0)); \ \ for (octave_idx_type j = 0; j < nc; j++) \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ r.xelem (m.ridx (i), j) = s OP m.data (i); \ \ return r; \ } #define SPARSE_SSM_BIN_OP_2(R, F, OP, S, M) \ R \ F (const S& s, const M& m) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ octave_idx_type nz = m.nnz (); \ \ R r (nr, nc, nz); \ \ for (octave_idx_type i = 0; i < nz; i++) \ { \ r.xdata (i) = s OP m.data (i); \ r.xridx (i) = m.ridx (i); \ } \ for (octave_idx_type i = 0; i < nc + 1; i++) \ r.xcidx (i) = m.cidx (i); \ \ r.maybe_compress(true); \ return r; \ } #define SPARSE_SSM_BIN_OPS(R1, R2, S, M) \ SPARSE_SSM_BIN_OP_1 (R1, operator +, +, S, M) \ SPARSE_SSM_BIN_OP_1 (R1, operator -, -, S, M) \ SPARSE_SSM_BIN_OP_2 (R2, operator *, *, S, M) \ SPARSE_SSM_BIN_OP_2 (R2, operator /, /, S, M) #define SPARSE_SSM_CMP_OP(F, OP, S, M) \ SparseBoolMatrix \ F (const S& s, const M& m) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ SparseBoolMatrix r; \ \ M::element_type m_zero = M::element_type (); \ \ if (s OP m_zero) \ { \ r = SparseBoolMatrix (nr, nc, true); \ for (octave_idx_type j = 0; j < nc; j++) \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (! (s OP m.data (i))) \ r.data (m.ridx (i) + j * nr) = false; \ r.maybe_compress (true); \ } \ else \ { \ r = SparseBoolMatrix (nr, nc, m.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < nc; j++) \ { \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (s OP m.data (i)) \ { \ r.ridx (nel) = m.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ return r; \ } #define SPARSE_SSM_CMP_OPS(S, M) \ SPARSE_SSM_CMP_OP (mx_el_lt, <, S, M) \ SPARSE_SSM_CMP_OP (mx_el_le, <=, S, M) \ SPARSE_SSM_CMP_OP (mx_el_ge, >=, S, M) \ SPARSE_SSM_CMP_OP (mx_el_gt, >, S, M) \ SPARSE_SSM_CMP_OP (mx_el_eq, ==, S, M) \ SPARSE_SSM_CMP_OP (mx_el_ne, !=, S, M) #define SPARSE_SSM_EQNE_OPS(S, M) \ SPARSE_SSM_CMP_OP (mx_el_eq, ==, S, M) \ SPARSE_SSM_CMP_OP (mx_el_ne, !=, S, M) #define SPARSE_SSM_BOOL_OR_OP(S, M) \ SparseBoolMatrix \ mx_el_or (const S& s, const M& m) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ SparseBoolMatrix r; \ \ S lhs_zero = S (); \ M::element_type rhs_zero = M::element_type (); \ \ if (nr > 0 && nc > 0) \ { \ if (s != lhs_zero) \ r = SparseBoolMatrix (nr, nc, true); \ else \ { \ r = SparseBoolMatrix (nr, nc, m.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < nc; j++) \ { \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (m.data (i) != rhs_zero) \ { \ r.ridx (nel) = m.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ } \ return r; \ } #define SPARSE_SSM_BOOL_AND_OP(S, M) \ SparseBoolMatrix \ mx_el_and (const S& s, const M& m) \ { \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ SparseBoolMatrix r; \ \ S lhs_zero = S (); \ M::element_type rhs_zero = M::element_type (); \ \ if (nr > 0 && nc > 0) \ { \ if (s != lhs_zero) \ { \ r = SparseBoolMatrix (nr, nc, m.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < nc; j++) \ { \ for (octave_idx_type i = m.cidx (j); i < m.cidx (j+1); i++) \ if (m.data (i) != rhs_zero) \ { \ r.ridx (nel) = m.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ else \ r = SparseBoolMatrix (nr, nc); \ } \ return r; \ } #define SPARSE_SSM_BOOL_OPS(S, M) \ SPARSE_SSM_BOOL_AND_OP (S, M) \ SPARSE_SSM_BOOL_OR_OP (S, M) // sparse matrix by sparse matrix operations. #define SPARSE_SMSM_BIN_OP_1(R, F, OP, M1, M2) \ R \ F (const M1& m1, const M2& m2) \ { \ R r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m1_nr == 1 && m1_nc == 1) \ { \ if (m1.elem (0,0) == 0.) \ r = OP R (m2); \ else \ { \ r = R (m2_nr, m2_nc, m1.data (0) OP 0.); \ \ for (octave_idx_type j = 0 ; j < m2_nc ; j++) \ { \ octave_quit (); \ octave_idx_type idxj = j * m2_nr; \ for (octave_idx_type i = m2.cidx (j) ; i < m2.cidx (j+1) ; i++) \ { \ octave_quit (); \ r.data (idxj + m2.ridx (i)) = m1.data (0) OP m2.data (i); \ } \ } \ r.maybe_compress (); \ } \ } \ else if (m2_nr == 1 && m2_nc == 1) \ { \ if (m2.elem (0,0) == 0.) \ r = R (m1); \ else \ { \ r = R (m1_nr, m1_nc, 0. OP m2.data (0)); \ \ for (octave_idx_type j = 0 ; j < m1_nc ; j++) \ { \ octave_quit (); \ octave_idx_type idxj = j * m1_nr; \ for (octave_idx_type i = m1.cidx (j) ; i < m1.cidx (j+1) ; i++) \ { \ octave_quit (); \ r.data (idxj + m1.ridx (i)) = m1.data (i) OP m2.data (0); \ } \ } \ r.maybe_compress (); \ } \ } \ else if (m1_nr != m2_nr || m1_nc != m2_nc) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ else \ { \ r = R (m1_nr, m1_nc, (m1.nnz () + m2.nnz ())); \ \ octave_idx_type jx = 0; \ r.cidx (0) = 0; \ for (octave_idx_type i = 0 ; i < m1_nc ; i++) \ { \ octave_idx_type ja = m1.cidx (i); \ octave_idx_type ja_max = m1.cidx (i+1); \ bool ja_lt_max = ja < ja_max; \ \ octave_idx_type jb = m2.cidx (i); \ octave_idx_type jb_max = m2.cidx (i+1); \ bool jb_lt_max = jb < jb_max; \ \ while (ja_lt_max || jb_lt_max) \ { \ octave_quit (); \ if ((! jb_lt_max) || \ (ja_lt_max && (m1.ridx (ja) < m2.ridx (jb)))) \ { \ r.ridx (jx) = m1.ridx (ja); \ r.data (jx) = m1.data (ja) OP 0.; \ jx++; \ ja++; \ ja_lt_max= ja < ja_max; \ } \ else if ((! ja_lt_max) || \ (jb_lt_max && (m2.ridx (jb) < m1.ridx (ja)))) \ { \ r.ridx (jx) = m2.ridx (jb); \ r.data (jx) = 0. OP m2.data (jb); \ jx++; \ jb++; \ jb_lt_max= jb < jb_max; \ } \ else \ { \ if ((m1.data (ja) OP m2.data (jb)) != 0.) \ { \ r.data (jx) = m1.data (ja) OP m2.data (jb); \ r.ridx (jx) = m1.ridx (ja); \ jx++; \ } \ ja++; \ ja_lt_max= ja < ja_max; \ jb++; \ jb_lt_max= jb < jb_max; \ } \ } \ r.cidx (i+1) = jx; \ } \ \ r.maybe_compress (); \ } \ \ return r; \ } #define SPARSE_SMSM_BIN_OP_2(R, F, OP, M1, M2) \ R \ F (const M1& m1, const M2& m2) \ { \ R r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m1_nr == 1 && m1_nc == 1) \ { \ if (m1.elem (0,0) == 0.) \ r = R (m2_nr, m2_nc); \ else \ { \ r = R (m2); \ octave_idx_type m2_nnz = m2.nnz (); \ \ for (octave_idx_type i = 0 ; i < m2_nnz ; i++) \ { \ octave_quit (); \ r.data (i) = m1.data (0) OP r.data (i); \ } \ r.maybe_compress (); \ } \ } \ else if (m2_nr == 1 && m2_nc == 1) \ { \ if (m2.elem (0,0) == 0.) \ r = R (m1_nr, m1_nc); \ else \ { \ r = R (m1); \ octave_idx_type m1_nnz = m1.nnz (); \ \ for (octave_idx_type i = 0 ; i < m1_nnz ; i++) \ { \ octave_quit (); \ r.data (i) = r.data (i) OP m2.data (0); \ } \ r.maybe_compress (); \ } \ } \ else if (m1_nr != m2_nr || m1_nc != m2_nc) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ else \ { \ r = R (m1_nr, m1_nc, (m1.nnz () > m2.nnz () ? m1.nnz () : m2.nnz ())); \ \ octave_idx_type jx = 0; \ r.cidx (0) = 0; \ for (octave_idx_type i = 0 ; i < m1_nc ; i++) \ { \ octave_idx_type ja = m1.cidx (i); \ octave_idx_type ja_max = m1.cidx (i+1); \ bool ja_lt_max = ja < ja_max; \ \ octave_idx_type jb = m2.cidx (i); \ octave_idx_type jb_max = m2.cidx (i+1); \ bool jb_lt_max = jb < jb_max; \ \ while (ja_lt_max || jb_lt_max) \ { \ octave_quit (); \ if ((! jb_lt_max) || \ (ja_lt_max && (m1.ridx (ja) < m2.ridx (jb)))) \ { \ ja++; ja_lt_max= ja < ja_max; \ } \ else if ((! ja_lt_max) || \ (jb_lt_max && (m2.ridx (jb) < m1.ridx (ja)))) \ { \ jb++; jb_lt_max= jb < jb_max; \ } \ else \ { \ if ((m1.data (ja) OP m2.data (jb)) != 0.) \ { \ r.data (jx) = m1.data (ja) OP m2.data (jb); \ r.ridx (jx) = m1.ridx (ja); \ jx++; \ } \ ja++; ja_lt_max= ja < ja_max; \ jb++; jb_lt_max= jb < jb_max; \ } \ } \ r.cidx (i+1) = jx; \ } \ \ r.maybe_compress (); \ } \ \ return r; \ } #define SPARSE_SMSM_BIN_OP_3(R, F, OP, M1, M2) \ R \ F (const M1& m1, const M2& m2) \ { \ R r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m1_nr == 1 && m1_nc == 1) \ { \ if ((m1.elem (0,0) OP Complex ()) == Complex ()) \ { \ octave_idx_type m2_nnz = m2.nnz (); \ r = R (m2); \ for (octave_idx_type i = 0 ; i < m2_nnz ; i++) \ r.data (i) = m1.elem (0,0) OP r.data (i); \ r.maybe_compress (); \ } \ else \ { \ r = R (m2_nr, m2_nc, m1.elem (0,0) OP Complex ()); \ for (octave_idx_type j = 0 ; j < m2_nc ; j++) \ { \ octave_quit (); \ octave_idx_type idxj = j * m2_nr; \ for (octave_idx_type i = m2.cidx (j) ; i < m2.cidx (j+1) ; i++) \ { \ octave_quit (); \ r.data (idxj + m2.ridx (i)) = m1.elem (0,0) OP m2.data (i); \ } \ } \ r.maybe_compress (); \ } \ } \ else if (m2_nr == 1 && m2_nc == 1) \ { \ if ((Complex () OP m1.elem (0,0)) == Complex ()) \ { \ octave_idx_type m1_nnz = m1.nnz (); \ r = R (m1); \ for (octave_idx_type i = 0 ; i < m1_nnz ; i++) \ r.data (i) = r.data (i) OP m2.elem (0,0); \ r.maybe_compress (); \ } \ else \ { \ r = R (m1_nr, m1_nc, Complex () OP m2.elem (0,0)); \ for (octave_idx_type j = 0 ; j < m1_nc ; j++) \ { \ octave_quit (); \ octave_idx_type idxj = j * m1_nr; \ for (octave_idx_type i = m1.cidx (j) ; i < m1.cidx (j+1) ; i++) \ { \ octave_quit (); \ r.data (idxj + m1.ridx (i)) = m1.data (i) OP m2.elem (0,0); \ } \ } \ r.maybe_compress (); \ } \ } \ else if (m1_nr != m2_nr || m1_nc != m2_nc) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ else \ { \ \ /* FIXME: Kludge... Always double/Complex, so Complex () */ \ r = R (m1_nr, m1_nc, (Complex () OP Complex ())); \ \ for (octave_idx_type i = 0 ; i < m1_nc ; i++) \ { \ octave_idx_type ja = m1.cidx (i); \ octave_idx_type ja_max = m1.cidx (i+1); \ bool ja_lt_max = ja < ja_max; \ \ octave_idx_type jb = m2.cidx (i); \ octave_idx_type jb_max = m2.cidx (i+1); \ bool jb_lt_max = jb < jb_max; \ \ while (ja_lt_max || jb_lt_max) \ { \ octave_quit (); \ if ((! jb_lt_max) || \ (ja_lt_max && (m1.ridx (ja) < m2.ridx (jb)))) \ { \ /* keep those kludges coming */ \ r.elem (m1.ridx (ja),i) = m1.data (ja) OP Complex (); \ ja++; \ ja_lt_max= ja < ja_max; \ } \ else if ((! ja_lt_max) || \ (jb_lt_max && (m2.ridx (jb) < m1.ridx (ja)))) \ { \ /* keep those kludges coming */ \ r.elem (m2.ridx (jb),i) = Complex () OP m2.data (jb); \ jb++; \ jb_lt_max= jb < jb_max; \ } \ else \ { \ r.elem (m1.ridx (ja),i) = m1.data (ja) OP m2.data (jb); \ ja++; \ ja_lt_max= ja < ja_max; \ jb++; \ jb_lt_max= jb < jb_max; \ } \ } \ } \ r.maybe_compress (true); \ } \ \ return r; \ } // Note that SM ./ SM needs to take into account the NaN and Inf values // implied by the division by zero. // FIXME: Are the NaNs double(NaN) or Complex(NaN,Nan) in the complex case? #define SPARSE_SMSM_BIN_OPS(R1, R2, M1, M2) \ SPARSE_SMSM_BIN_OP_1 (R1, operator +, +, M1, M2) \ SPARSE_SMSM_BIN_OP_1 (R1, operator -, -, M1, M2) \ SPARSE_SMSM_BIN_OP_2 (R2, product, *, M1, M2) \ SPARSE_SMSM_BIN_OP_3 (R2, quotient, /, M1, M2) // FIXME: this macro duplicates the bodies of the template functions // defined in the SPARSE_SSM_CMP_OP and SPARSE_SMS_CMP_OP macros. #define SPARSE_SMSM_CMP_OP(F, OP, M1, M2) \ SparseBoolMatrix \ F (const M1& m1, const M2& m2) \ { \ SparseBoolMatrix r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ M1::element_type Z1 = M1::element_type (); \ M2::element_type Z2 = M2::element_type (); \ \ if (m1_nr == 1 && m1_nc == 1) \ { \ if (m1.elem (0,0) OP Z2) \ { \ r = SparseBoolMatrix (m2_nr, m2_nc, true); \ for (octave_idx_type j = 0; j < m2_nc; j++) \ for (octave_idx_type i = m2.cidx (j); i < m2.cidx (j+1); i++) \ if (! (m1.elem (0,0) OP m2.data (i))) \ r.data (m2.ridx (i) + j * m2_nr) = false; \ r.maybe_compress (true); \ } \ else \ { \ r = SparseBoolMatrix (m2_nr, m2_nc, m2.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m2_nc; j++) \ { \ for (octave_idx_type i = m2.cidx (j); i < m2.cidx (j+1); i++) \ if (m1.elem (0,0) OP m2.data (i)) \ { \ r.ridx (nel) = m2.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ } \ else if (m2_nr == 1 && m2_nc == 1) \ { \ if (Z1 OP m2.elem (0,0)) \ { \ r = SparseBoolMatrix (m1_nr, m1_nc, true); \ for (octave_idx_type j = 0; j < m1_nc; j++) \ for (octave_idx_type i = m1.cidx (j); i < m1.cidx (j+1); i++) \ if (! (m1.data (i) OP m2.elem (0,0))) \ r.data (m1.ridx (i) + j * m1_nr) = false; \ r.maybe_compress (true); \ } \ else \ { \ r = SparseBoolMatrix (m1_nr, m1_nc, m1.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ for (octave_idx_type i = m1.cidx (j); i < m1.cidx (j+1); i++) \ if (m1.data (i) OP m2.elem (0,0)) \ { \ r.ridx (nel) = m1.ridx (i); \ r.data (nel++) = true; \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ } \ else if (m1_nr == m2_nr && m1_nc == m2_nc) \ { \ if (m1_nr != 0 || m1_nc != 0) \ { \ if (Z1 OP Z2) \ { \ r = SparseBoolMatrix (m1_nr, m1_nc, true); \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ octave_idx_type i1 = m1.cidx (j); \ octave_idx_type e1 = m1.cidx (j+1); \ octave_idx_type i2 = m2.cidx (j); \ octave_idx_type e2 = m2.cidx (j+1); \ while (i1 < e1 || i2 < e2) \ { \ if (i1 == e1 || (i2 < e2 && m1.ridx (i1) > m2.ridx (i2))) \ { \ if (! (Z1 OP m2.data (i2))) \ r.data (m2.ridx (i2) + j * m1_nr) = false; \ i2++; \ } \ else if (i2 == e2 || m1.ridx (i1) < m2.ridx (i2)) \ { \ if (! (m1.data (i1) OP Z2)) \ r.data (m1.ridx (i1) + j * m1_nr) = false; \ i1++; \ } \ else \ { \ if (! (m1.data (i1) OP m2.data (i2))) \ r.data (m1.ridx (i1) + j * m1_nr) = false; \ i1++; \ i2++; \ } \ } \ } \ r.maybe_compress (true); \ } \ else \ { \ r = SparseBoolMatrix (m1_nr, m1_nc, m1.nnz () + m2.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ octave_idx_type i1 = m1.cidx (j); \ octave_idx_type e1 = m1.cidx (j+1); \ octave_idx_type i2 = m2.cidx (j); \ octave_idx_type e2 = m2.cidx (j+1); \ while (i1 < e1 || i2 < e2) \ { \ if (i1 == e1 || (i2 < e2 && m1.ridx (i1) > m2.ridx (i2))) \ { \ if (Z1 OP m2.data (i2)) \ { \ r.ridx (nel) = m2.ridx (i2); \ r.data (nel++) = true; \ } \ i2++; \ } \ else if (i2 == e2 || m1.ridx (i1) < m2.ridx (i2)) \ { \ if (m1.data (i1) OP Z2) \ { \ r.ridx (nel) = m1.ridx (i1); \ r.data (nel++) = true; \ } \ i1++; \ } \ else \ { \ if (m1.data (i1) OP m2.data (i2)) \ { \ r.ridx (nel) = m1.ridx (i1); \ r.data (nel++) = true; \ } \ i1++; \ i2++; \ } \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ } \ } \ else \ { \ if ((m1_nr != 0 || m1_nc != 0) && (m2_nr != 0 || m2_nc != 0)) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ } \ return r; \ } #define SPARSE_SMSM_CMP_OPS(M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_lt, <, M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_le, <=, M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_ge, >=, M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_gt, >, M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_eq, ==, M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_ne, !=, M1, M2) #define SPARSE_SMSM_EQNE_OPS(M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_eq, ==, M1, M2) \ SPARSE_SMSM_CMP_OP (mx_el_ne, !=, M1, M2) #define SPARSE_SMSM_BOOL_AND_OP(M1, M2) \ extern SparseBoolMatrix mx_el_and (const M1&, const M2::element_type&); \ extern SparseBoolMatrix mx_el_and (const M1::element_type&, const M2&); \ SparseBoolMatrix \ mx_el_and (const M1& m1, const M2& m2) \ { \ SparseBoolMatrix r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ M1::element_type lhs_zero = M1::element_type (); \ M2::element_type rhs_zero = M2::element_type (); \ \ if (m1_nr == 1 && m1_nc == 1) \ return mx_el_and (m1.elem (0,0), m2); \ else if (m2_nr == 1 && m2_nc == 1) \ return mx_el_and (m1, m2.elem (0,0)); \ else if (m1_nr == m2_nr && m1_nc == m2_nc) \ { \ if (m1_nr != 0 || m1_nc != 0) \ { \ r = SparseBoolMatrix (m1_nr, m1_nc, m1.nnz () + m2.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ octave_idx_type i1 = m1.cidx (j); \ octave_idx_type e1 = m1.cidx (j+1); \ octave_idx_type i2 = m2.cidx (j); \ octave_idx_type e2 = m2.cidx (j+1); \ while (i1 < e1 || i2 < e2) \ { \ if (i1 == e1 || (i2 < e2 && m1.ridx (i1) > m2.ridx (i2))) \ i2++; \ else if (i2 == e2 || m1.ridx (i1) < m2.ridx (i2)) \ i1++; \ else \ { \ if (m1.data (i1) != lhs_zero && m2.data (i2) != rhs_zero) \ { \ r.ridx (nel) = m1.ridx (i1); \ r.data (nel++) = true; \ } \ i1++; \ i2++; \ } \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ } \ else \ { \ if ((m1_nr != 0 || m1_nc != 0) && (m2_nr != 0 || m2_nc != 0)) \ octave::err_nonconformant ("mx_el_and_", m1_nr, m1_nc, m2_nr, m2_nc); \ } \ return r; \ } #define SPARSE_SMSM_BOOL_OR_OP(M1, M2) \ extern SparseBoolMatrix mx_el_or (const M1&, const M2::element_type&); \ extern SparseBoolMatrix mx_el_or (const M1::element_type&, const M2&); \ SparseBoolMatrix \ mx_el_or (const M1& m1, const M2& m2) \ { \ SparseBoolMatrix r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ M1::element_type lhs_zero = M1::element_type (); \ M2::element_type rhs_zero = M2::element_type (); \ \ if (m1_nr == 1 && m1_nc == 1) \ return mx_el_or (m1.elem (0,0), m2); \ else if (m2_nr == 1 && m2_nc == 1) \ return mx_el_or (m1, m2.elem (0,0)); \ else if (m1_nr == m2_nr && m1_nc == m2_nc) \ { \ if (m1_nr != 0 || m1_nc != 0) \ { \ r = SparseBoolMatrix (m1_nr, m1_nc, m1.nnz () + m2.nnz ()); \ r.cidx (0) = static_cast<octave_idx_type> (0); \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ octave_idx_type i1 = m1.cidx (j); \ octave_idx_type e1 = m1.cidx (j+1); \ octave_idx_type i2 = m2.cidx (j); \ octave_idx_type e2 = m2.cidx (j+1); \ while (i1 < e1 || i2 < e2) \ { \ if (i1 == e1 || (i2 < e2 && m1.ridx (i1) > m2.ridx (i2))) \ { \ if (m2.data (i2) != rhs_zero) \ { \ r.ridx (nel) = m2.ridx (i2); \ r.data (nel++) = true; \ } \ i2++; \ } \ else if (i2 == e2 || m1.ridx (i1) < m2.ridx (i2)) \ { \ if (m1.data (i1) != lhs_zero) \ { \ r.ridx (nel) = m1.ridx (i1); \ r.data (nel++) = true; \ } \ i1++; \ } \ else \ { \ if (m1.data (i1) != lhs_zero || m2.data (i2) != rhs_zero) \ { \ r.ridx (nel) = m1.ridx (i1); \ r.data (nel++) = true; \ } \ i1++; \ i2++; \ } \ } \ r.cidx (j + 1) = nel; \ } \ r.maybe_compress (false); \ } \ } \ else \ { \ if ((m1_nr != 0 || m1_nc != 0) && (m2_nr != 0 || m2_nc != 0)) \ octave::err_nonconformant ("mx_el_or", m1_nr, m1_nc, m2_nr, m2_nc); \ } \ return r; \ } #define SPARSE_SMSM_BOOL_OPS(M1, M2) \ SPARSE_SMSM_BOOL_AND_OP (M1, M2) \ SPARSE_SMSM_BOOL_OR_OP (M1, M2) // matrix by sparse matrix operations. #define SPARSE_MSM_BIN_OP_1(R, F, OP, M1, M2) \ R \ F (const M1& m1, const M2& m2) \ { \ R r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m2_nr == 1 && m2_nc == 1) \ r = R (m1 OP m2.elem (0,0)); \ else if (m1_nr != m2_nr || m1_nc != m2_nc) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ else \ { \ r = R (F (m1, m2.matrix_value ())); \ } \ return r; \ } #define SPARSE_MSM_BIN_OP_2(R, F, OP, M1, M2) \ R \ F (const M1& m1, const M2& m2) \ { \ R r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m2_nr == 1 && m2_nc == 1) \ r = R (m1 OP m2.elem (0,0)); \ else if (m1_nr != m2_nr || m1_nc != m2_nc) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ else \ { \ if (do_mx_check (m1, mx_inline_all_finite<M1::element_type>)) \ { \ /* Sparsity pattern is preserved. */ \ octave_idx_type m2_nz = m2.nnz (); \ r = R (m2_nr, m2_nc, m2_nz); \ for (octave_idx_type j = 0, k = 0; j < m2_nc; j++) \ { \ octave_quit (); \ for (octave_idx_type i = m2.cidx (j); i < m2.cidx (j+1); i++) \ { \ octave_idx_type mri = m2.ridx (i); \ R::element_type x = m1(mri, j) OP m2.data (i); \ if (x != 0.0) \ { \ r.xdata (k) = x; \ r.xridx (k) = m2.ridx (i); \ k++; \ } \ } \ r.xcidx (j+1) = k; \ } \ r.maybe_compress (false); \ return r; \ } \ else \ r = R (F (m1, m2.matrix_value ())); \ } \ \ return r; \ } #define SPARSE_MSM_BIN_OPS(R1, R2, M1, M2) \ SPARSE_MSM_BIN_OP_1 (R1, operator +, +, M1, M2) \ SPARSE_MSM_BIN_OP_1 (R1, operator -, -, M1, M2) \ SPARSE_MSM_BIN_OP_2 (R2, product, *, M1, M2) \ SPARSE_MSM_BIN_OP_1 (R2, quotient, /, M1, M2) #define SPARSE_MSM_CMP_OP(F, OP, M1, M2) \ SparseBoolMatrix \ F (const M1& m1, const M2& m2) \ { \ SparseBoolMatrix r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m2_nr == 1 && m2_nc == 1) \ r = SparseBoolMatrix (F (m1, m2.elem (0,0))); \ else if (m1_nr == m2_nr && m1_nc == m2_nc) \ { \ if (m1_nr != 0 || m1_nc != 0) \ { \ /* Count num of nonzero elements */ \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ for (octave_idx_type i = 0; i < m1_nr; i++) \ if (m1.elem (i, j) OP m2.elem (i, j)) \ nel++; \ \ r = SparseBoolMatrix (m1_nr, m1_nc, nel); \ \ octave_idx_type ii = 0; \ r.cidx (0) = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ for (octave_idx_type i = 0; i < m1_nr; i++) \ { \ bool el = m1.elem (i, j) OP m2.elem (i, j); \ if (el) \ { \ r.data (ii) = el; \ r.ridx (ii++) = i; \ } \ } \ r.cidx (j+1) = ii; \ } \ } \ } \ else \ { \ if ((m1_nr != 0 || m1_nc != 0) && (m2_nr != 0 || m2_nc != 0)) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ } \ return r; \ } #define SPARSE_MSM_CMP_OPS(M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_lt, <, M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_le, <=, M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_ge, >=, M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_gt, >, M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_eq, ==, M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_ne, !=, M1, M2) #define SPARSE_MSM_EQNE_OPS(M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_eq, ==, M1, M2) \ SPARSE_MSM_CMP_OP (mx_el_ne, !=, M1, M2) #define SPARSE_MSM_BOOL_OP(F, OP, M1, M2) \ SparseBoolMatrix \ F (const M1& m1, const M2& m2) \ { \ SparseBoolMatrix r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ M1::element_type lhs_zero = M1::element_type (); \ M2::element_type rhs_zero = M2::element_type (); \ \ if (m2_nr == 1 && m2_nc == 1) \ r = SparseBoolMatrix (F (m1, m2.elem (0,0))); \ else if (m1_nr == m2_nr && m1_nc == m2_nc) \ { \ if (m1_nr != 0 || m1_nc != 0) \ { \ /* Count num of nonzero elements */ \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ for (octave_idx_type i = 0; i < m1_nr; i++) \ if ((m1.elem (i, j) != lhs_zero) \ OP (m2.elem (i, j) != rhs_zero)) \ nel++; \ \ r = SparseBoolMatrix (m1_nr, m1_nc, nel); \ \ octave_idx_type ii = 0; \ r.cidx (0) = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ for (octave_idx_type i = 0; i < m1_nr; i++) \ { \ bool el = (m1.elem (i, j) != lhs_zero) \ OP (m2.elem (i, j) != rhs_zero); \ if (el) \ { \ r.data (ii) = el; \ r.ridx (ii++) = i; \ } \ } \ r.cidx (j+1) = ii; \ } \ } \ } \ else \ { \ if ((m1_nr != 0 || m1_nc != 0) && (m2_nr != 0 || m2_nc != 0)) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ } \ return r; \ } #define SPARSE_MSM_BOOL_OPS(M1, M2) \ SPARSE_MSM_BOOL_OP (mx_el_and, &&, M1, M2) \ SPARSE_MSM_BOOL_OP (mx_el_or, ||, M1, M2) // sparse matrix by matrix operations. #define SPARSE_SMM_BIN_OP_1(R, F, OP, M1, M2) \ R \ F (const M1& m1, const M2& m2) \ { \ R r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m1_nr == 1 && m1_nc == 1) \ r = R (m1.elem (0,0) OP m2); \ else if (m1_nr != m2_nr || m1_nc != m2_nc) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ else \ { \ r = R (m1.matrix_value () OP m2); \ } \ return r; \ } // sm .* m preserves sparsity if m contains no Infs nor Nans. #define SPARSE_SMM_BIN_OP_2_CHECK_product(ET) \ do_mx_check (m2, mx_inline_all_finite<ET>) // sm ./ m preserves sparsity if m contains no NaNs or zeros. #define SPARSE_SMM_BIN_OP_2_CHECK_quotient(ET) \ ! do_mx_check (m2, mx_inline_any_nan<ET>) && m2.nnz () == m2.numel () #define SPARSE_SMM_BIN_OP_2(R, F, OP, M1, M2) \ R \ F (const M1& m1, const M2& m2) \ { \ R r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m1_nr == 1 && m1_nc == 1) \ r = R (m1.elem (0,0) OP m2); \ else if (m1_nr != m2_nr || m1_nc != m2_nc) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ else \ { \ if (SPARSE_SMM_BIN_OP_2_CHECK_ ## F(M2::element_type)) \ { \ /* Sparsity pattern is preserved. */ \ octave_idx_type m1_nz = m1.nnz (); \ r = R (m1_nr, m1_nc, m1_nz); \ for (octave_idx_type j = 0, k = 0; j < m1_nc; j++) \ { \ octave_quit (); \ for (octave_idx_type i = m1.cidx (j); i < m1.cidx (j+1); i++) \ { \ octave_idx_type mri = m1.ridx (i); \ R::element_type x = m1.data (i) OP m2 (mri, j); \ if (x != 0.0) \ { \ r.xdata (k) = x; \ r.xridx (k) = m1.ridx (i); \ k++; \ } \ } \ r.xcidx (j+1) = k; \ } \ r.maybe_compress (false); \ return r; \ } \ else \ r = R (F (m1.matrix_value (), m2)); \ } \ \ return r; \ } #define SPARSE_SMM_BIN_OPS(R1, R2, M1, M2) \ SPARSE_SMM_BIN_OP_1 (R1, operator +, +, M1, M2) \ SPARSE_SMM_BIN_OP_1 (R1, operator -, -, M1, M2) \ SPARSE_SMM_BIN_OP_2 (R2, product, *, M1, M2) \ SPARSE_SMM_BIN_OP_2 (R2, quotient, /, M1, M2) #define SPARSE_SMM_CMP_OP(F, OP, M1, M2) \ SparseBoolMatrix \ F (const M1& m1, const M2& m2) \ { \ SparseBoolMatrix r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ if (m1_nr == 1 && m1_nc == 1) \ r = SparseBoolMatrix (F (m1.elem (0,0), m2)); \ else if (m1_nr == m2_nr && m1_nc == m2_nc) \ { \ if (m1_nr != 0 || m1_nc != 0) \ { \ /* Count num of nonzero elements */ \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ for (octave_idx_type i = 0; i < m1_nr; i++) \ if (m1.elem (i, j) OP m2.elem (i, j)) \ nel++; \ \ r = SparseBoolMatrix (m1_nr, m1_nc, nel); \ \ octave_idx_type ii = 0; \ r.cidx (0) = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ for (octave_idx_type i = 0; i < m1_nr; i++) \ { \ bool el = m1.elem (i, j) OP m2.elem (i, j); \ if (el) \ { \ r.data (ii) = el; \ r.ridx (ii++) = i; \ } \ } \ r.cidx (j+1) = ii; \ } \ } \ } \ else \ { \ if ((m1_nr != 0 || m1_nc != 0) && (m2_nr != 0 || m2_nc != 0)) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ } \ return r; \ } #define SPARSE_SMM_CMP_OPS(M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_lt, <, M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_le, <=, M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_ge, >=, M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_gt, >, M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_eq, ==, M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_ne, !=, M1, M2) #define SPARSE_SMM_EQNE_OPS(M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_eq, ==, M1, M2) \ SPARSE_SMM_CMP_OP (mx_el_ne, !=, M1, M2) #define SPARSE_SMM_BOOL_OP(F, OP, M1, M2) \ SparseBoolMatrix \ F (const M1& m1, const M2& m2) \ { \ SparseBoolMatrix r; \ \ octave_idx_type m1_nr = m1.rows (); \ octave_idx_type m1_nc = m1.cols (); \ \ octave_idx_type m2_nr = m2.rows (); \ octave_idx_type m2_nc = m2.cols (); \ \ M1::element_type lhs_zero = M1::element_type (); \ M2::element_type rhs_zero = M2::element_type (); \ \ if (m1_nr == 1 && m1_nc == 1) \ r = SparseBoolMatrix (F (m1.elem (0,0), m2)); \ else if (m1_nr == m2_nr && m1_nc == m2_nc) \ { \ if (m1_nr != 0 || m1_nc != 0) \ { \ /* Count num of nonzero elements */ \ octave_idx_type nel = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ for (octave_idx_type i = 0; i < m1_nr; i++) \ if ((m1.elem (i, j) != lhs_zero) \ OP (m2.elem (i, j) != rhs_zero)) \ nel++; \ \ r = SparseBoolMatrix (m1_nr, m1_nc, nel); \ \ octave_idx_type ii = 0; \ r.cidx (0) = 0; \ for (octave_idx_type j = 0; j < m1_nc; j++) \ { \ for (octave_idx_type i = 0; i < m1_nr; i++) \ { \ bool el = (m1.elem (i, j) != lhs_zero) \ OP (m2.elem (i, j) != rhs_zero); \ if (el) \ { \ r.data (ii) = el; \ r.ridx (ii++) = i; \ } \ } \ r.cidx (j+1) = ii; \ } \ } \ } \ else \ { \ if ((m1_nr != 0 || m1_nc != 0) && (m2_nr != 0 || m2_nc != 0)) \ octave::err_nonconformant (#F, m1_nr, m1_nc, m2_nr, m2_nc); \ } \ return r; \ } #define SPARSE_SMM_BOOL_OPS(M1, M2) \ SPARSE_SMM_BOOL_OP (mx_el_and, &&, M1, M2) \ SPARSE_SMM_BOOL_OP (mx_el_or, ||, M1, M2) // Avoid some code duplication. Maybe we should use templates. #define SPARSE_CUMSUM(RET_TYPE, ELT_TYPE, FCN) \ \ octave_idx_type nr = rows (); \ octave_idx_type nc = cols (); \ \ RET_TYPE retval; \ \ if (nr > 0 && nc > 0) \ { \ if ((nr == 1 && dim == -1) || dim == 1) \ /* Ugly!! Is there a better way? */ \ retval = transpose (). FCN (0) .transpose (); \ else \ { \ octave_idx_type nel = 0; \ for (octave_idx_type i = 0; i < nc; i++) \ { \ ELT_TYPE t = ELT_TYPE (); \ for (octave_idx_type j = cidx (i); j < cidx (i+1); j++) \ { \ t += data (j); \ if (t != ELT_TYPE ()) \ { \ if (j == cidx (i+1) - 1) \ nel += nr - ridx (j); \ else \ nel += ridx (j+1) - ridx (j); \ } \ } \ } \ retval = RET_TYPE (nr, nc, nel); \ retval.cidx (0) = 0; \ octave_idx_type ii = 0; \ for (octave_idx_type i = 0; i < nc; i++) \ { \ ELT_TYPE t = ELT_TYPE (); \ for (octave_idx_type j = cidx (i); j < cidx (i+1); j++) \ { \ t += data (j); \ if (t != ELT_TYPE ()) \ { \ if (j == cidx (i+1) - 1) \ { \ for (octave_idx_type k = ridx (j); k < nr; k++) \ { \ retval.data (ii) = t; \ retval.ridx (ii++) = k; \ } \ } \ else \ { \ for (octave_idx_type k = ridx (j); k < ridx (j+1); k++) \ { \ retval.data (ii) = t; \ retval.ridx (ii++) = k; \ } \ } \ } \ } \ retval.cidx (i+1) = ii; \ } \ } \ } \ else \ retval = RET_TYPE (nr,nc); \ \ return retval #define SPARSE_CUMPROD(RET_TYPE, ELT_TYPE, FCN) \ \ octave_idx_type nr = rows (); \ octave_idx_type nc = cols (); \ \ RET_TYPE retval; \ \ if (nr > 0 && nc > 0) \ { \ if ((nr == 1 && dim == -1) || dim == 1) \ /* Ugly!! Is there a better way? */ \ retval = transpose (). FCN (0) .transpose (); \ else \ { \ octave_idx_type nel = 0; \ for (octave_idx_type i = 0; i < nc; i++) \ { \ octave_idx_type jj = 0; \ for (octave_idx_type j = cidx (i); j < cidx (i+1); j++) \ { \ if (jj == ridx (j)) \ { \ nel++; \ jj++; \ } \ else \ break; \ } \ } \ retval = RET_TYPE (nr, nc, nel); \ retval.cidx (0) = 0; \ octave_idx_type ii = 0; \ for (octave_idx_type i = 0; i < nc; i++) \ { \ ELT_TYPE t = ELT_TYPE (1.); \ octave_idx_type jj = 0; \ for (octave_idx_type j = cidx (i); j < cidx (i+1); j++) \ { \ if (jj == ridx (j)) \ { \ t *= data (j); \ retval.data (ii) = t; \ retval.ridx (ii++) = jj++; \ } \ else \ break; \ } \ retval.cidx (i+1) = ii; \ } \ } \ } \ else \ retval = RET_TYPE (nr,nc); \ \ return retval #define SPARSE_BASE_REDUCTION_OP(RET_TYPE, EL_TYPE, ROW_EXPR, COL_EXPR, \ INIT_VAL, MT_RESULT) \ \ octave_idx_type nr = rows (); \ octave_idx_type nc = cols (); \ \ RET_TYPE retval; \ \ if (nr > 0 && nc > 0) \ { \ if ((nr == 1 && dim == -1) || dim == 1) \ { \ /* Define j here to allow fancy definition for prod method */ \ octave_idx_type j = 0; \ OCTAVE_LOCAL_BUFFER (EL_TYPE, tmp, nr); \ \ for (octave_idx_type i = 0; i < nr; i++) \ tmp[i] = INIT_VAL; \ for (j = 0; j < nc; j++) \ { \ for (octave_idx_type i = cidx (j); i < cidx (j + 1); i++) \ { \ ROW_EXPR; \ } \ } \ octave_idx_type nel = 0; \ for (octave_idx_type i = 0; i < nr; i++) \ if (tmp[i] != EL_TYPE ()) \ nel++; \ retval = RET_TYPE (nr, static_cast<octave_idx_type> (1), nel); \ retval.cidx (0) = 0; \ retval.cidx (1) = nel; \ nel = 0; \ for (octave_idx_type i = 0; i < nr; i++) \ if (tmp[i] != EL_TYPE ()) \ { \ retval.data (nel) = tmp[i]; \ retval.ridx (nel++) = i; \ } \ } \ else \ { \ OCTAVE_LOCAL_BUFFER (EL_TYPE, tmp, nc); \ \ for (octave_idx_type j = 0; j < nc; j++) \ { \ tmp[j] = INIT_VAL; \ for (octave_idx_type i = cidx (j); i < cidx (j + 1); i++) \ { \ COL_EXPR; \ } \ } \ octave_idx_type nel = 0; \ for (octave_idx_type i = 0; i < nc; i++) \ if (tmp[i] != EL_TYPE ()) \ nel++; \ retval = RET_TYPE (static_cast<octave_idx_type> (1), nc, nel); \ retval.cidx (0) = 0; \ nel = 0; \ for (octave_idx_type i = 0; i < nc; i++) \ if (tmp[i] != EL_TYPE ()) \ { \ retval.data (nel) = tmp[i]; \ retval.ridx (nel++) = 0; \ retval.cidx (i+1) = retval.cidx (i) + 1; \ } \ else \ retval.cidx (i+1) = retval.cidx (i); \ } \ } \ else if (nc == 0 && (nr == 0 || (nr == 1 && dim == -1))) \ { \ if (MT_RESULT) \ { \ retval = RET_TYPE (static_cast<octave_idx_type> (1), \ static_cast<octave_idx_type> (1), \ static_cast<octave_idx_type> (1)); \ retval.cidx (0) = 0; \ retval.cidx (1) = 1; \ retval.ridx (0) = 0; \ retval.data (0) = MT_RESULT; \ } \ else \ retval = RET_TYPE (static_cast<octave_idx_type> (1), \ static_cast<octave_idx_type> (1), \ static_cast<octave_idx_type> (0)); \ } \ else if (nr == 0 && (dim == 0 || dim == -1)) \ { \ if (MT_RESULT) \ { \ retval = RET_TYPE (static_cast<octave_idx_type> (1), nc, nc); \ retval.cidx (0) = 0; \ for (octave_idx_type i = 0; i < nc ; i++) \ { \ retval.ridx (i) = 0; \ retval.cidx (i+1) = i+1; \ retval.data (i) = MT_RESULT; \ } \ } \ else \ retval = RET_TYPE (static_cast<octave_idx_type> (1), nc, \ static_cast<octave_idx_type> (0)); \ } \ else if (nc == 0 && dim == 1) \ { \ if (MT_RESULT) \ { \ retval = RET_TYPE (nr, static_cast<octave_idx_type> (1), nr); \ retval.cidx (0) = 0; \ retval.cidx (1) = nr; \ for (octave_idx_type i = 0; i < nr; i++) \ { \ retval.ridx (i) = i; \ retval.data (i) = MT_RESULT; \ } \ } \ else \ retval = RET_TYPE (nr, static_cast<octave_idx_type> (1), \ static_cast<octave_idx_type> (0)); \ } \ else \ retval.resize (nr > 0, nc > 0); \ \ return retval #define SPARSE_REDUCTION_OP_ROW_EXPR(OP) \ tmp[ridx (i)] OP data (i) #define SPARSE_REDUCTION_OP_COL_EXPR(OP) \ tmp[j] OP data (i) #define SPARSE_REDUCTION_OP(RET_TYPE, EL_TYPE, OP, INIT_VAL, MT_RESULT) \ SPARSE_BASE_REDUCTION_OP (RET_TYPE, EL_TYPE, \ SPARSE_REDUCTION_OP_ROW_EXPR (OP), \ SPARSE_REDUCTION_OP_COL_EXPR (OP), \ INIT_VAL, MT_RESULT) // Don't break from this loop if the test succeeds because // we are looping over the rows and not the columns in the inner loop. #define SPARSE_ANY_ALL_OP_ROW_CODE(TEST_OP, TEST_TRUE_VAL) \ if (data (i) TEST_OP 0.0) \ tmp[ridx (i)] = TEST_TRUE_VAL; #define SPARSE_ANY_ALL_OP_COL_CODE(TEST_OP, TEST_TRUE_VAL) \ if (data (i) TEST_OP 0.0) \ { \ tmp[j] = TEST_TRUE_VAL; \ break; \ } #define SPARSE_ANY_ALL_OP(DIM, INIT_VAL, MT_RESULT, TEST_OP, TEST_TRUE_VAL) \ SPARSE_BASE_REDUCTION_OP (SparseBoolMatrix, char, \ SPARSE_ANY_ALL_OP_ROW_CODE (TEST_OP, TEST_TRUE_VAL), \ SPARSE_ANY_ALL_OP_COL_CODE (TEST_OP, TEST_TRUE_VAL), \ INIT_VAL, MT_RESULT) #define SPARSE_ALL_OP(DIM) \ if ((rows () == 1 && dim == -1) || dim == 1) \ return transpose (). all (0). transpose (); \ else \ { \ SPARSE_ANY_ALL_OP (DIM, (cidx (j+1) - cidx (j) < nr ? false : true), \ true, ==, false); \ } #define SPARSE_ANY_OP(DIM) SPARSE_ANY_ALL_OP (DIM, false, false, !=, true) #define SPARSE_SPARSE_MUL(RET_TYPE, RET_EL_TYPE, EL_TYPE) \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ \ octave_idx_type a_nr = a.rows (); \ octave_idx_type a_nc = a.cols (); \ \ if (nr == 1 && nc == 1) \ { \ RET_EL_TYPE s = m.elem (0,0); \ octave_idx_type nz = a.nnz (); \ RET_TYPE r (a_nr, a_nc, nz); \ \ for (octave_idx_type i = 0; i < nz; i++) \ { \ octave_quit (); \ r.data (i) = s * a.data (i); \ r.ridx (i) = a.ridx (i); \ } \ for (octave_idx_type i = 0; i < a_nc + 1; i++) \ { \ octave_quit (); \ r.cidx (i) = a.cidx (i); \ } \ \ r.maybe_compress (true); \ return r; \ } \ else if (a_nr == 1 && a_nc == 1) \ { \ RET_EL_TYPE s = a.elem (0,0); \ octave_idx_type nz = m.nnz (); \ RET_TYPE r (nr, nc, nz); \ \ for (octave_idx_type i = 0; i < nz; i++) \ { \ octave_quit (); \ r.data (i) = m.data (i) * s; \ r.ridx (i) = m.ridx (i); \ } \ for (octave_idx_type i = 0; i < nc + 1; i++) \ { \ octave_quit (); \ r.cidx (i) = m.cidx (i); \ } \ \ r.maybe_compress (true); \ return r; \ } \ else if (nc != a_nr) \ octave::err_nonconformant ("operator *", nr, nc, a_nr, a_nc); \ else \ { \ OCTAVE_LOCAL_BUFFER (octave_idx_type, w, nr); \ RET_TYPE retval (nr, a_nc, static_cast<octave_idx_type> (0)); \ for (octave_idx_type i = 0; i < nr; i++) \ w[i] = 0; \ retval.xcidx (0) = 0; \ \ octave_idx_type nel = 0; \ \ for (octave_idx_type i = 0; i < a_nc; i++) \ { \ for (octave_idx_type j = a.cidx (i); j < a.cidx (i+1); j++) \ { \ octave_idx_type col = a.ridx (j); \ for (octave_idx_type k = m.cidx (col) ; k < m.cidx (col+1); k++) \ { \ if (w[m.ridx (k)] < i + 1) \ { \ w[m.ridx (k)] = i + 1; \ nel++; \ } \ octave_quit (); \ } \ } \ retval.xcidx (i+1) = nel; \ } \ \ if (nel == 0) \ return RET_TYPE (nr, a_nc); \ else \ { \ for (octave_idx_type i = 0; i < nr; i++) \ w[i] = 0; \ \ OCTAVE_LOCAL_BUFFER (RET_EL_TYPE, Xcol, nr); \ \ retval.change_capacity (nel); \ /* The optimal break-point as estimated from simulations */ \ /* Note that Mergesort is O(nz log(nz)) while searching all */ \ /* values is O(nr), where nz here is nonzero per row of */ \ /* length nr. The test itself was then derived from the */ \ /* simulation with random square matrices and the observation */ \ /* of the number of nonzero elements in the output matrix */ \ /* it was found that the breakpoints were */ \ /* nr: 500 1000 2000 5000 10000 */ \ /* nz: 6 25 97 585 2202 */ \ /* The below is a simplication of the 'polyfit'-ed parameters */ \ /* to these breakpoints */ \ octave_idx_type n_per_col = (a_nc > 43000 ? 43000 : \ (a_nc * a_nc) / 43000); \ octave_idx_type ii = 0; \ octave_idx_type *ri = retval.xridx (); \ octave_sort<octave_idx_type> sort; \ \ for (octave_idx_type i = 0; i < a_nc ; i++) \ { \ if (retval.xcidx (i+1) - retval.xcidx (i) > n_per_col) \ { \ for (octave_idx_type j = a.cidx (i); j < a.cidx (i+1); j++) \ { \ octave_idx_type col = a.ridx (j); \ EL_TYPE tmpval = a.data (j); \ for (octave_idx_type k = m.cidx (col) ; \ k < m.cidx (col+1); k++) \ { \ octave_quit (); \ octave_idx_type row = m.ridx (k); \ if (w[row] < i + 1) \ { \ w[row] = i + 1; \ Xcol[row] = tmpval * m.data (k); \ } \ else \ Xcol[row] += tmpval * m.data (k); \ } \ } \ for (octave_idx_type k = 0; k < nr; k++) \ if (w[k] == i + 1) \ { \ retval.xdata (ii) = Xcol[k]; \ retval.xridx (ii++) = k; \ } \ } \ else \ { \ for (octave_idx_type j = a.cidx (i); j < a.cidx (i+1); j++) \ { \ octave_idx_type col = a.ridx (j); \ EL_TYPE tmpval = a.data (j); \ for (octave_idx_type k = m.cidx (col) ; \ k < m.cidx (col+1); k++) \ { \ octave_quit (); \ octave_idx_type row = m.ridx (k); \ if (w[row] < i + 1) \ { \ w[row] = i + 1; \ retval.xridx (ii++) = row; \ Xcol[row] = tmpval * m.data (k); \ } \ else \ Xcol[row] += tmpval * m.data (k); \ } \ } \ sort.sort (ri + retval.xcidx (i), ii - retval.xcidx (i)); \ for (octave_idx_type k = retval.xcidx (i); k < ii; k++) \ retval.xdata (k) = Xcol[retval.xridx (k)]; \ } \ } \ retval.maybe_compress (true); \ return retval; \ } \ } #define SPARSE_FULL_MUL(RET_TYPE, EL_TYPE) \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ \ octave_idx_type a_nr = a.rows (); \ octave_idx_type a_nc = a.cols (); \ \ if (nr == 1 && nc == 1) \ { \ RET_TYPE retval = m.elem (0,0) * a; \ return retval; \ } \ else if (nc != a_nr) \ octave::err_nonconformant ("operator *", nr, nc, a_nr, a_nc); \ else \ { \ RET_TYPE::element_type zero = RET_TYPE::element_type (); \ \ RET_TYPE retval (nr, a_nc, zero); \ \ for (octave_idx_type i = 0; i < a_nc ; i++) \ { \ for (octave_idx_type j = 0; j < a_nr; j++) \ { \ octave_quit (); \ \ EL_TYPE tmpval = a.elem (j,i); \ for (octave_idx_type k = m.cidx (j) ; k < m.cidx (j+1); k++) \ retval.elem (m.ridx (k),i) += tmpval * m.data (k); \ } \ } \ return retval; \ } #define SPARSE_FULL_TRANS_MUL(RET_TYPE, EL_TYPE, CONJ_OP) \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ \ octave_idx_type a_nr = a.rows (); \ octave_idx_type a_nc = a.cols (); \ \ if (nr == 1 && nc == 1) \ { \ RET_TYPE retval = CONJ_OP (m.elem (0,0)) * a; \ return retval; \ } \ else if (nr != a_nr) \ octave::err_nonconformant ("operator *", nc, nr, a_nr, a_nc); \ else \ { \ RET_TYPE retval (nc, a_nc); \ \ for (octave_idx_type i = 0; i < a_nc ; i++) \ { \ for (octave_idx_type j = 0; j < nc; j++) \ { \ octave_quit (); \ \ EL_TYPE acc = EL_TYPE (); \ for (octave_idx_type k = m.cidx (j) ; k < m.cidx (j+1); k++) \ acc += a.elem (m.ridx (k),i) * CONJ_OP (m.data (k)); \ retval.xelem (j,i) = acc; \ } \ } \ return retval; \ } #define FULL_SPARSE_MUL(RET_TYPE, EL_TYPE) \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ \ octave_idx_type a_nr = a.rows (); \ octave_idx_type a_nc = a.cols (); \ \ if (a_nr == 1 && a_nc == 1) \ { \ RET_TYPE retval = m * a.elem (0,0); \ return retval; \ } \ else if (nc != a_nr) \ octave::err_nonconformant ("operator *", nr, nc, a_nr, a_nc); \ else \ { \ RET_TYPE::element_type zero = RET_TYPE::element_type (); \ \ RET_TYPE retval (nr, a_nc, zero); \ \ for (octave_idx_type i = 0; i < a_nc ; i++) \ { \ octave_quit (); \ for (octave_idx_type j = a.cidx (i); j < a.cidx (i+1); j++) \ { \ octave_idx_type col = a.ridx (j); \ EL_TYPE tmpval = a.data (j); \ \ for (octave_idx_type k = 0 ; k < nr; k++) \ retval.xelem (k,i) += tmpval * m.elem (k,col); \ } \ } \ return retval; \ } #define FULL_SPARSE_MUL_TRANS(RET_TYPE, EL_TYPE, CONJ_OP) \ octave_idx_type nr = m.rows (); \ octave_idx_type nc = m.cols (); \ \ octave_idx_type a_nr = a.rows (); \ octave_idx_type a_nc = a.cols (); \ \ if (a_nr == 1 && a_nc == 1) \ { \ RET_TYPE retval = m * CONJ_OP (a.elem (0,0)); \ return retval; \ } \ else if (nc != a_nc) \ octave::err_nonconformant ("operator *", nr, nc, a_nc, a_nr); \ else \ { \ RET_TYPE::element_type zero = RET_TYPE::element_type (); \ \ RET_TYPE retval (nr, a_nr, zero); \ \ for (octave_idx_type i = 0; i < a_nc ; i++) \ { \ octave_quit (); \ for (octave_idx_type j = a.cidx (i); j < a.cidx (i+1); j++) \ { \ octave_idx_type col = a.ridx (j); \ EL_TYPE tmpval = CONJ_OP (a.data (j)); \ for (octave_idx_type k = 0 ; k < nr; k++) \ retval.xelem (k,col) += tmpval * m.elem (k,i); \ } \ } \ return retval; \ } #endif