/* $Id: addRows.cpp 1941 2013-04-10 16:52:27Z stefan $ */
// Copyright (C) 2004, International Business Machines
// Corporation and others.  All Rights Reserved.
// This code is licensed under the terms of the Eclipse Public License (EPL).


// This is a simple example to create a model by row
#include "ClpSimplex.hpp"
#include "CoinHelperFunctions.hpp"
#include "CoinTime.hpp"
#include "CoinBuild.hpp"
#include "CoinModel.hpp"
#include <iomanip>
#include <cassert>

int main(int argc, const char *argv[])
{
     try {
          // Empty model
          ClpSimplex  model;

          // Objective - just nonzeros
          int objIndex[] = {0, 2};
          double objValue[] = {1.0, 4.0};
          // Upper bounds - as dense vector
          double upper[] = {2.0, COIN_DBL_MAX, 4.0};

          // Create space for 3 columns
          model.resize(0, 3);
          // Fill in
          int i;
          // Virtuous way
          // First objective
          for (i = 0; i < 2; i++)
               model.setObjectiveCoefficient(objIndex[i], objValue[i]);
          // Now bounds (lower will be zero by default but do again)
          for (i = 0; i < 3; i++) {
               model.setColumnLower(i, 0.0);
               model.setColumnUpper(i, upper[i]);
          }
          /*
            We could also have done in non-virtuous way e.g.
            double * objective = model.objective();
            and then set directly
          */
          // Faster to add rows all at once - but this is easier to show
          // Now add row 1 as >= 2.0
          int row1Index[] = {0, 2};
          double row1Value[] = {1.0, 1.0};
          model.addRow(2, row1Index, row1Value,
                       2.0, COIN_DBL_MAX);
          // Now add row 2 as == 1.0
          int row2Index[] = {0, 1, 2};
          double row2Value[] = {1.0, -5.0, 1.0};
          model.addRow(3, row2Index, row2Value,
                       1.0, 1.0);
          // solve
          model.dual();

          /*
            Adding one row at a time has a significant overhead so let's
            try a more complicated but faster way

            First time adding in 10000 rows one by one
          */
          model.allSlackBasis();
          ClpSimplex modelSave = model;
          double time1 = CoinCpuTime();
          int k;
          for (k = 0; k < 10000; k++) {
               int row2Index[] = {0, 1, 2};
               double row2Value[] = {1.0, -5.0, 1.0};
               model.addRow(3, row2Index, row2Value,
                            1.0, 1.0);
          }
          printf("Time for 10000 addRow is %g\n", CoinCpuTime() - time1);
          model.dual();
          model = modelSave;
          // Now use build
          CoinBuild buildObject;
          time1 = CoinCpuTime();
          for (k = 0; k < 10000; k++) {
               int row2Index[] = {0, 1, 2};
               double row2Value[] = {1.0, -5.0, 1.0};
               buildObject.addRow(3, row2Index, row2Value,
                                  1.0, 1.0);
          }
          model.addRows(buildObject);
          printf("Time for 10000 addRow using CoinBuild is %g\n", CoinCpuTime() - time1);
          model.dual();
          model = modelSave;
          int del[] = {0, 1, 2};
          model.deleteRows(2, del);
          // Now use build +-1
          CoinBuild buildObject2;
          time1 = CoinCpuTime();
          for (k = 0; k < 10000; k++) {
               int row2Index[] = {0, 1, 2};
               double row2Value[] = {1.0, -1.0, 1.0};
               buildObject2.addRow(3, row2Index, row2Value,
                                   1.0, 1.0);
          }
          model.addRows(buildObject2, true);
          printf("Time for 10000 addRow using CoinBuild+-1 is %g\n", CoinCpuTime() - time1);
          model.dual();
          model = modelSave;
          model.deleteRows(2, del);
          // Now use build +-1
          CoinModel modelObject2;
          time1 = CoinCpuTime();
          for (k = 0; k < 10000; k++) {
               int row2Index[] = {0, 1, 2};
               double row2Value[] = {1.0, -1.0, 1.0};
               modelObject2.addRow(3, row2Index, row2Value,
                                   1.0, 1.0);
          }
          model.addRows(modelObject2, true);
          printf("Time for 10000 addRow using CoinModel+-1 is %g\n", CoinCpuTime() - time1);
          model.dual();
          model = ClpSimplex();
          // Now use build +-1
          CoinModel modelObject3;
          time1 = CoinCpuTime();
          for (k = 0; k < 10000; k++) {
               int row2Index[] = {0, 1, 2};
               double row2Value[] = {1.0, -1.0, 1.0};
               modelObject3.addRow(3, row2Index, row2Value,
                                   1.0, 1.0);
          }
          model.loadProblem(modelObject3, true);
          printf("Time for 10000 addRow using CoinModel load +-1 is %g\n", CoinCpuTime() - time1);
          model.writeMps("xx.mps");
          model.dual();
          model = modelSave;
          // Now use model
          CoinModel modelObject;
          time1 = CoinCpuTime();
          for (k = 0; k < 10000; k++) {
               int row2Index[] = {0, 1, 2};
               double row2Value[] = {1.0, -5.0, 1.0};
               modelObject.addRow(3, row2Index, row2Value,
                                  1.0, 1.0);
          }
          model.addRows(modelObject);
          printf("Time for 10000 addRow using CoinModel is %g\n", CoinCpuTime() - time1);
          model.dual();
          model.writeMps("b.mps");
          // Method using least memory - but most complicated
          time1 = CoinCpuTime();
          // Assumes we know exact size of model and matrix
          // Empty model
          ClpSimplex  model2;
          {
               // Create space for 3 columns and 10000 rows
               int numberRows = 10000;
               int numberColumns = 3;
               // This is fully dense - but would not normally be so
               int numberElements = numberRows * numberColumns;
               // Arrays will be set to default values
               model2.resize(numberRows, numberColumns);
               double * elements = new double [numberElements];
               CoinBigIndex * starts = new CoinBigIndex [numberColumns+1];
               int * rows = new int [numberElements];;
               int * lengths = new int[numberColumns];
               // Now fill in - totally unsafe but ....
               // no need as defaults to 0.0 double * columnLower = model2.columnLower();
               double * columnUpper = model2.columnUpper();
               double * objective = model2.objective();
               double * rowLower = model2.rowLower();
               double * rowUpper = model2.rowUpper();
               // Columns - objective was packed
               for (k = 0; k < 2; k++) {
                    int iColumn = objIndex[k];
                    objective[iColumn] = objValue[k];
               }
               for (k = 0; k < numberColumns; k++)
                    columnUpper[k] = upper[k];
               // Rows
               for (k = 0; k < numberRows; k++) {
                    rowLower[k] = 1.0;
                    rowUpper[k] = 1.0;
               }
               // Now elements
               double row2Value[] = {1.0, -5.0, 1.0};
               CoinBigIndex put = 0;
               for (k = 0; k < numberColumns; k++) {
                    starts[k] = put;
                    lengths[k] = numberRows;
                    double value = row2Value[k];
                    for (int i = 0; i < numberRows; i++) {
                         rows[put] = i;
                         elements[put] = value;
                         put++;
                    }
               }
               starts[numberColumns] = put;
               // assign to matrix
               CoinPackedMatrix * matrix = new CoinPackedMatrix(true, 0.0, 0.0);
               matrix->assignMatrix(true, numberRows, numberColumns, numberElements,
                                    elements, rows, starts, lengths);
               ClpPackedMatrix * clpMatrix = new ClpPackedMatrix(matrix);
               model2.replaceMatrix(clpMatrix, true);
               printf("Time for 10000 addRow using hand written code is %g\n", CoinCpuTime() - time1);
               // If matrix is really big could switch off creation of row copy
               // model2.setSpecialOptions(256);
          }
          model2.dual();
          model2.writeMps("a.mps");
          // Print column solution
          int numberColumns = model.numberColumns();

          // Alternatively getColSolution()
          double * columnPrimal = model.primalColumnSolution();
          // Alternatively getReducedCost()
          double * columnDual = model.dualColumnSolution();
          // Alternatively getColLower()
          double * columnLower = model.columnLower();
          // Alternatively getColUpper()
          double * columnUpper = model.columnUpper();
          // Alternatively getObjCoefficients()
          double * columnObjective = model.objective();

          int iColumn;

          std::cout << "               Primal          Dual         Lower         Upper          Cost"
                    << std::endl;

          for (iColumn = 0; iColumn < numberColumns; iColumn++) {
               double value;
               std::cout << std::setw(6) << iColumn << " ";
               value = columnPrimal[iColumn];
               if (fabs(value) < 1.0e5)
                    std::cout << setiosflags(std::ios::fixed | std::ios::showpoint) << std::setw(14) << value;
               else
                    std::cout << setiosflags(std::ios::scientific) << std::setw(14) << value;
               value = columnDual[iColumn];
               if (fabs(value) < 1.0e5)
                    std::cout << setiosflags(std::ios::fixed | std::ios::showpoint) << std::setw(14) << value;
               else
                    std::cout << setiosflags(std::ios::scientific) << std::setw(14) << value;
               value = columnLower[iColumn];
               if (fabs(value) < 1.0e5)
                    std::cout << setiosflags(std::ios::fixed | std::ios::showpoint) << std::setw(14) << value;
               else
                    std::cout << setiosflags(std::ios::scientific) << std::setw(14) << value;
               value = columnUpper[iColumn];
               if (fabs(value) < 1.0e5)
                    std::cout << setiosflags(std::ios::fixed | std::ios::showpoint) << std::setw(14) << value;
               else
                    std::cout << setiosflags(std::ios::scientific) << std::setw(14) << value;
               value = columnObjective[iColumn];
               if (fabs(value) < 1.0e5)
                    std::cout << setiosflags(std::ios::fixed | std::ios::showpoint) << std::setw(14) << value;
               else
                    std::cout << setiosflags(std::ios::scientific) << std::setw(14) << value;

               std::cout << std::endl;
          }
          std::cout << "--------------------------------------" << std::endl;
          // Test CoinAssert
          std::cout << "If Clp compiled without NDEBUG below should give assert, if with NDEBUG or COIN_ASSERT CoinError" << std::endl;
          model = modelSave;
          model.deleteRows(2, del);
          // Deliberate error
          model.deleteColumns(1, del + 2);
          // Now use build +-1
          CoinBuild buildObject3;
          time1 = CoinCpuTime();
          for (k = 0; k < 10000; k++) {
               int row2Index[] = {0, 1, 2};
               double row2Value[] = {1.0, -1.0, 1.0};
               buildObject3.addRow(3, row2Index, row2Value,
                                   1.0, 1.0);
          }
          model.addRows(buildObject3, true);
     } catch (CoinError e) {
          e.print();
          if (e.lineNumber() >= 0)
               std::cout << "This was from a CoinAssert" << std::endl;
     }
     return 0;
}
