lst_to_clifford() and clifford_to_lst() can handle pseudo-vector representation

[ginac.git] / ginac / ex.cpp

diff --git a/ginac/ex.cpp b/ginac/ex.cpp
index 3d4d5122a4471247ae58aae8348cad6d1a1e499e..2f541467e78c63875394a5dc8c6c48e5277572c6 100644 (file)
--- a/ginac/ex.cpp
+++ b/ginac/ex.cpp
@@ -3,7 +3,7 @@
  *  Implementation of GiNaC's light-weight expression handles. */
 
 /*
- *  GiNaC Copyright (C) 1999-2003 Johannes Gutenberg University Mainz, Germany
+ *  GiNaC Copyright (C) 1999-2007 Johannes Gutenberg University Mainz, Germany
  *
  *  This program is free software; you can redistribute it and/or modify
  *  it under the terms of the GNU General Public License as published by
@@ -17,7 +17,7 @@
  *
  *  You should have received a copy of the GNU General Public License
  *  along with this program; if not, write to the Free Software
- *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
+ *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
  */
 
 #include <iostream>
@@ -28,6 +28,7 @@
 #include "mul.h"
 #include "ncmul.h"
 #include "numeric.h"
+#include "matrix.h"
 #include "power.h"
 #include "lst.h"
 #include "relational.h"
@@ -240,6 +241,31 @@ ex ex::rhs() const
        return bp->op(1);
 }
 
+/** Check whether expression is a polynomial. */
+bool ex::is_polynomial(const ex & vars) const
+{
+       if (is_a<lst>(vars)) {
+               const lst & varlst = ex_to<lst>(vars);
+               for (lst::const_iterator i=varlst.begin(); i!=varlst.end(); ++i)
+                       if (!bp->is_polynomial(*i))
+                               return false;
+               return true;
+       }
+       else
+               return bp->is_polynomial(vars);
+}
+
+/** Check whether expression is zero or zero matrix. */
+bool ex::is_zero_matrix() const
+{
+       if (is_zero())
+               return  true;
+       else {
+               ex e = evalm();
+               return is_a<matrix>(e) && ex_to<matrix>(e).is_zero_matrix();
+       }
+}
+
 // private
 
 /** Make this ex writable (if more than one ex handle the same basic) by 
@@ -329,55 +355,55 @@ basic & ex::construct_from_int(int i)
 {
        switch (i) {  // prefer flyweights over new objects
        case -12:
-               return const_cast<numeric &>(_num_12);
+               return *const_cast<numeric *>(_num_12_p);
        case -11:
-               return const_cast<numeric &>(_num_11);
+               return *const_cast<numeric *>(_num_11_p);
        case -10:
-               return const_cast<numeric &>(_num_10);
+               return *const_cast<numeric *>(_num_10_p);
        case -9:
-               return const_cast<numeric &>(_num_9);
+               return *const_cast<numeric *>(_num_9_p);
        case -8:
-               return const_cast<numeric &>(_num_8);
+               return *const_cast<numeric *>(_num_8_p);
        case -7:
-               return const_cast<numeric &>(_num_7);
+               return *const_cast<numeric *>(_num_7_p);
        case -6:
-               return const_cast<numeric &>(_num_6);
+               return *const_cast<numeric *>(_num_6_p);
        case -5:
-               return const_cast<numeric &>(_num_5);
+               return *const_cast<numeric *>(_num_5_p);
        case -4:
-               return const_cast<numeric &>(_num_4);
+               return *const_cast<numeric *>(_num_4_p);
        case -3:
-               return const_cast<numeric &>(_num_3);
+               return *const_cast<numeric *>(_num_3_p);
        case -2:
-               return const_cast<numeric &>(_num_2);
+               return *const_cast<numeric *>(_num_2_p);
        case -1:
-               return const_cast<numeric &>(_num_1);
+               return *const_cast<numeric *>(_num_1_p);
        case 0:
-               return const_cast<numeric &>(_num0);
+               return *const_cast<numeric *>(_num0_p);
        case 1:
-               return const_cast<numeric &>(_num1);
+               return *const_cast<numeric *>(_num1_p);
        case 2:
-               return const_cast<numeric &>(_num2);
+               return *const_cast<numeric *>(_num2_p);
        case 3:
-               return const_cast<numeric &>(_num3);
+               return *const_cast<numeric *>(_num3_p);
        case 4:
-               return const_cast<numeric &>(_num4);
+               return *const_cast<numeric *>(_num4_p);
        case 5:
-               return const_cast<numeric &>(_num5);
+               return *const_cast<numeric *>(_num5_p);
        case 6:
-               return const_cast<numeric &>(_num6);
+               return *const_cast<numeric *>(_num6_p);
        case 7:
-               return const_cast<numeric &>(_num7);
+               return *const_cast<numeric *>(_num7_p);
        case 8:
-               return const_cast<numeric &>(_num8);
+               return *const_cast<numeric *>(_num8_p);
        case 9:
-               return const_cast<numeric &>(_num9);
+               return *const_cast<numeric *>(_num9_p);
        case 10:
-               return const_cast<numeric &>(_num10);
+               return *const_cast<numeric *>(_num10_p);
        case 11:
-               return const_cast<numeric &>(_num11);
+               return *const_cast<numeric *>(_num11_p);
        case 12:
-               return const_cast<numeric &>(_num12);
+               return *const_cast<numeric *>(_num12_p);
        default:
                basic *bp = new numeric(i);
                bp->setflag(status_flags::dynallocated);
@@ -390,31 +416,31 @@ basic & ex::construct_from_uint(unsigned int i)
 {
        switch (i) {  // prefer flyweights over new objects
        case 0:
-               return const_cast<numeric &>(_num0);
+               return *const_cast<numeric *>(_num0_p);
        case 1:
-               return const_cast<numeric &>(_num1);
+               return *const_cast<numeric *>(_num1_p);
        case 2:
-               return const_cast<numeric &>(_num2);
+               return *const_cast<numeric *>(_num2_p);
        case 3:
-               return const_cast<numeric &>(_num3);
+               return *const_cast<numeric *>(_num3_p);
        case 4:
-               return const_cast<numeric &>(_num4);
+               return *const_cast<numeric *>(_num4_p);
        case 5:
-               return const_cast<numeric &>(_num5);
+               return *const_cast<numeric *>(_num5_p);
        case 6:
-               return const_cast<numeric &>(_num6);
+               return *const_cast<numeric *>(_num6_p);
        case 7:
-               return const_cast<numeric &>(_num7);
+               return *const_cast<numeric *>(_num7_p);
        case 8:
-               return const_cast<numeric &>(_num8);
+               return *const_cast<numeric *>(_num8_p);
        case 9:
-               return const_cast<numeric &>(_num9);
+               return *const_cast<numeric *>(_num9_p);
        case 10:
-               return const_cast<numeric &>(_num10);
+               return *const_cast<numeric *>(_num10_p);
        case 11:
-               return const_cast<numeric &>(_num11);
+               return *const_cast<numeric *>(_num11_p);
        case 12:
-               return const_cast<numeric &>(_num12);
+               return *const_cast<numeric *>(_num12_p);
        default:
                basic *bp = new numeric(i);
                bp->setflag(status_flags::dynallocated);
@@ -427,55 +453,55 @@ basic & ex::construct_from_long(long i)
 {
        switch (i) {  // prefer flyweights over new objects
        case -12:
-               return const_cast<numeric &>(_num_12);
+               return *const_cast<numeric *>(_num_12_p);
        case -11:
-               return const_cast<numeric &>(_num_11);
+               return *const_cast<numeric *>(_num_11_p);
        case -10:
-               return const_cast<numeric &>(_num_10);
+               return *const_cast<numeric *>(_num_10_p);
        case -9:
-               return const_cast<numeric &>(_num_9);
+               return *const_cast<numeric *>(_num_9_p);
        case -8:
-               return const_cast<numeric &>(_num_8);
+               return *const_cast<numeric *>(_num_8_p);
        case -7:
-               return const_cast<numeric &>(_num_7);
+               return *const_cast<numeric *>(_num_7_p);
        case -6:
-               return const_cast<numeric &>(_num_6);
+               return *const_cast<numeric *>(_num_6_p);
        case -5:
-               return const_cast<numeric &>(_num_5);
+               return *const_cast<numeric *>(_num_5_p);
        case -4:
-               return const_cast<numeric &>(_num_4);
+               return *const_cast<numeric *>(_num_4_p);
        case -3:
-               return const_cast<numeric &>(_num_3);
+               return *const_cast<numeric *>(_num_3_p);
        case -2:
-               return const_cast<numeric &>(_num_2);
+               return *const_cast<numeric *>(_num_2_p);
        case -1:
-               return const_cast<numeric &>(_num_1);
+               return *const_cast<numeric *>(_num_1_p);
        case 0:
-               return const_cast<numeric &>(_num0);
+               return *const_cast<numeric *>(_num0_p);
        case 1:
-               return const_cast<numeric &>(_num1);
+               return *const_cast<numeric *>(_num1_p);
        case 2:
-               return const_cast<numeric &>(_num2);
+               return *const_cast<numeric *>(_num2_p);
        case 3:
-               return const_cast<numeric &>(_num3);
+               return *const_cast<numeric *>(_num3_p);
        case 4:
-               return const_cast<numeric &>(_num4);
+               return *const_cast<numeric *>(_num4_p);
        case 5:
-               return const_cast<numeric &>(_num5);
+               return *const_cast<numeric *>(_num5_p);
        case 6:
-               return const_cast<numeric &>(_num6);
+               return *const_cast<numeric *>(_num6_p);
        case 7:
-               return const_cast<numeric &>(_num7);
+               return *const_cast<numeric *>(_num7_p);
        case 8:
-               return const_cast<numeric &>(_num8);
+               return *const_cast<numeric *>(_num8_p);
        case 9:
-               return const_cast<numeric &>(_num9);
+               return *const_cast<numeric *>(_num9_p);
        case 10:
-               return const_cast<numeric &>(_num10);
+               return *const_cast<numeric *>(_num10_p);
        case 11:
-               return const_cast<numeric &>(_num11);
+               return *const_cast<numeric *>(_num11_p);
        case 12:
-               return const_cast<numeric &>(_num12);
+               return *const_cast<numeric *>(_num12_p);
        default:
                basic *bp = new numeric(i);
                bp->setflag(status_flags::dynallocated);
@@ -488,31 +514,31 @@ basic & ex::construct_from_ulong(unsigned long i)
 {
        switch (i) {  // prefer flyweights over new objects
        case 0:
-               return const_cast<numeric &>(_num0);
+               return *const_cast<numeric *>(_num0_p);
        case 1:
-               return const_cast<numeric &>(_num1);
+               return *const_cast<numeric *>(_num1_p);
        case 2:
-               return const_cast<numeric &>(_num2);
+               return *const_cast<numeric *>(_num2_p);
        case 3:
-               return const_cast<numeric &>(_num3);
+               return *const_cast<numeric *>(_num3_p);
        case 4:
-               return const_cast<numeric &>(_num4);
+               return *const_cast<numeric *>(_num4_p);
        case 5:
-               return const_cast<numeric &>(_num5);
+               return *const_cast<numeric *>(_num5_p);
        case 6:
-               return const_cast<numeric &>(_num6);
+               return *const_cast<numeric *>(_num6_p);
        case 7:
-               return const_cast<numeric &>(_num7);
+               return *const_cast<numeric *>(_num7_p);
        case 8:
-               return const_cast<numeric &>(_num8);
+               return *const_cast<numeric *>(_num8_p);
        case 9:
-               return const_cast<numeric &>(_num9);
+               return *const_cast<numeric *>(_num9_p);
        case 10:
-               return const_cast<numeric &>(_num10);
+               return *const_cast<numeric *>(_num10_p);
        case 11:
-               return const_cast<numeric &>(_num11);
+               return *const_cast<numeric *>(_num11_p);
        case 12:
-               return const_cast<numeric &>(_num12);
+               return *const_cast<numeric *>(_num12_p);
        default:
                basic *bp = new numeric(i);
                bp->setflag(status_flags::dynallocated);