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eigen/test/indexed_view.cpp

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2017 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
#ifdef EIGEN_TEST_PART_2
// Make sure we also check c++11 max implementation
#define EIGEN_MAX_CPP_VER 11
#endif
#ifdef EIGEN_TEST_PART_3
// Make sure we also check c++98 max implementation
#define EIGEN_MAX_CPP_VER 03
#endif
#include <valarray>
#include <vector>
#include "main.h"
#if EIGEN_HAS_CXX11
#include <array>
#endif
typedef std::pair<Index,Index> IndexPair;
int encode(Index i, Index j) {
return int(i*100 + j);
}
IndexPair decode(Index ij) {
return IndexPair(ij / 100, ij % 100);
}
template<typename T>
bool match(const T& xpr, std::string ref, std::string str_xpr = "") {
EIGEN_UNUSED_VARIABLE(str_xpr);
std::stringstream str;
str << xpr;
if(!(str.str() == ref))
std::cout << str_xpr << "\n" << xpr << "\n\n";
return str.str() == ref;
}
#define MATCH(X,R) match(X, R, #X)
template<typename T1,typename T2>
typename internal::enable_if<internal::is_same<T1,T2>::value,bool>::type
is_same_eq(const T1& a, const T2& b)
{
return (a == b).all();
}
template<typename T1,typename T2>
bool is_same_seq(const T1& a, const T2& b)
{
bool ok = a.first()==b.first() && a.size() == b.size() && Index(a.incrObject())==Index(b.incrObject());;
if(!ok)
{
std::cerr << "seqN(" << a.first() << ", " << a.size() << ", " << Index(a.incrObject()) << ") != ";
std::cerr << "seqN(" << b.first() << ", " << b.size() << ", " << Index(b.incrObject()) << ")\n";
}
return ok;
}
template<typename T1,typename T2>
typename internal::enable_if<internal::is_same<T1,T2>::value,bool>::type
is_same_seq_type(const T1& a, const T2& b)
{
return is_same_seq(a,b);
}
#define VERIFY_EQ_INT(A,B) VERIFY_IS_APPROX(int(A),int(B))
void check_indexed_view()
{
using Eigen::placeholders::all;
using Eigen::placeholders::last;
using Eigen::placeholders::end;
Index n = 10;
ArrayXd a = ArrayXd::LinSpaced(n,0,n-1);
Array<double,1,Dynamic> b = a.transpose();
ArrayXXi A = ArrayXXi::NullaryExpr(n,n, std::ptr_fun(encode));
for(Index i=0; i<n; ++i)
for(Index j=0; j<n; ++j)
VERIFY( decode(A(i,j)) == IndexPair(i,j) );
Array4i eii(4); eii << 3, 1, 6, 5;
std::valarray<int> vali(4); Map<ArrayXi>(&vali[0],4) = eii;
std::vector<int> veci(4); Map<ArrayXi>(veci.data(),4) = eii;
VERIFY( MATCH( A(3, seq(9,3,-1)),
"309 308 307 306 305 304 303")
);
VERIFY( MATCH( A(seqN(2,5), seq(9,3,-1)),
"209 208 207 206 205 204 203\n"
"309 308 307 306 305 304 303\n"
"409 408 407 406 405 404 403\n"
"509 508 507 506 505 504 503\n"
"609 608 607 606 605 604 603")
);
VERIFY( MATCH( A(seqN(2,5), 5),
"205\n"
"305\n"
"405\n"
"505\n"
"605")
);
VERIFY( MATCH( A(seqN(last,5,-1), seq(2,last)),
"902 903 904 905 906 907 908 909\n"
"802 803 804 805 806 807 808 809\n"
"702 703 704 705 706 707 708 709\n"
"602 603 604 605 606 607 608 609\n"
"502 503 504 505 506 507 508 509")
);
VERIFY( MATCH( A(eii, veci),
"303 301 306 305\n"
"103 101 106 105\n"
"603 601 606 605\n"
"503 501 506 505")
);
VERIFY( MATCH( A(eii, all),
"300 301 302 303 304 305 306 307 308 309\n"
"100 101 102 103 104 105 106 107 108 109\n"
"600 601 602 603 604 605 606 607 608 609\n"
"500 501 502 503 504 505 506 507 508 509")
);
// takes the row numer 3, and repeat it 5 times
VERIFY( MATCH( A(seqN(3,5,0), all),
"300 301 302 303 304 305 306 307 308 309\n"
"300 301 302 303 304 305 306 307 308 309\n"
"300 301 302 303 304 305 306 307 308 309\n"
"300 301 302 303 304 305 306 307 308 309\n"
"300 301 302 303 304 305 306 307 308 309")
);
VERIFY( MATCH( a(seqN(3,3),0), "3\n4\n5" ) );
VERIFY( MATCH( a(seq(3,5)), "3\n4\n5" ) );
VERIFY( MATCH( a(seqN(3,3,1)), "3\n4\n5" ) );
VERIFY( MATCH( a(seqN(5,3,-1)), "5\n4\n3" ) );
VERIFY( MATCH( b(0,seqN(3,3)), "3 4 5" ) );
VERIFY( MATCH( b(seq(3,5)), "3 4 5" ) );
VERIFY( MATCH( b(seqN(3,3,1)), "3 4 5" ) );
VERIFY( MATCH( b(seqN(5,3,-1)), "5 4 3" ) );
VERIFY( MATCH( b(all), "0 1 2 3 4 5 6 7 8 9" ) );
VERIFY( MATCH( b(eii), "3 1 6 5" ) );
Array44i B;
B.setRandom();
VERIFY( (A(seqN(2,5), 5)).ColsAtCompileTime == 1);
VERIFY( (A(seqN(2,5), 5)).RowsAtCompileTime == Dynamic);
VERIFY_EQ_INT( (A(seqN(2,5), 5)).InnerStrideAtCompileTime , A.InnerStrideAtCompileTime);
VERIFY_EQ_INT( (A(seqN(2,5), 5)).OuterStrideAtCompileTime , A.col(5).OuterStrideAtCompileTime);
VERIFY_EQ_INT( (A(5,seqN(2,5))).InnerStrideAtCompileTime , A.row(5).InnerStrideAtCompileTime);
VERIFY_EQ_INT( (A(5,seqN(2,5))).OuterStrideAtCompileTime , A.row(5).OuterStrideAtCompileTime);
VERIFY_EQ_INT( (B(1,seqN(1,2))).InnerStrideAtCompileTime , B.row(1).InnerStrideAtCompileTime);
VERIFY_EQ_INT( (B(1,seqN(1,2))).OuterStrideAtCompileTime , B.row(1).OuterStrideAtCompileTime);
VERIFY_EQ_INT( (A(seqN(2,5), seq(1,3))).InnerStrideAtCompileTime , A.InnerStrideAtCompileTime);
VERIFY_EQ_INT( (A(seqN(2,5), seq(1,3))).OuterStrideAtCompileTime , A.OuterStrideAtCompileTime);
VERIFY_EQ_INT( (B(seqN(1,2), seq(1,3))).InnerStrideAtCompileTime , B.InnerStrideAtCompileTime);
VERIFY_EQ_INT( (B(seqN(1,2), seq(1,3))).OuterStrideAtCompileTime , B.OuterStrideAtCompileTime);
VERIFY_EQ_INT( (A(seqN(2,5,2), seq(1,3,2))).InnerStrideAtCompileTime , Dynamic);
VERIFY_EQ_INT( (A(seqN(2,5,2), seq(1,3,2))).OuterStrideAtCompileTime , Dynamic);
VERIFY_EQ_INT( (A(seqN(2,5,fix<2>), seq(1,3,fix<3>))).InnerStrideAtCompileTime , 2);
VERIFY_EQ_INT( (A(seqN(2,5,fix<2>), seq(1,3,fix<3>))).OuterStrideAtCompileTime , Dynamic);
VERIFY_EQ_INT( (B(seqN(1,2,fix<2>), seq(1,3,fix<3>))).InnerStrideAtCompileTime , 2);
VERIFY_EQ_INT( (B(seqN(1,2,fix<2>), seq(1,3,fix<3>))).OuterStrideAtCompileTime , 3*4);
VERIFY_EQ_INT( (A(seqN(2,fix<5>), seqN(1,fix<3>))).RowsAtCompileTime, 5);
VERIFY_EQ_INT( (A(seqN(2,fix<5>), seqN(1,fix<3>))).ColsAtCompileTime, 3);
VERIFY_EQ_INT( (A(seqN(2,fix<5>(5)), seqN(1,fix<3>(3)))).RowsAtCompileTime, 5);
VERIFY_EQ_INT( (A(seqN(2,fix<5>(5)), seqN(1,fix<3>(3)))).ColsAtCompileTime, 3);
VERIFY_EQ_INT( (A(seqN(2,fix<Dynamic>(5)), seqN(1,fix<Dynamic>(3)))).RowsAtCompileTime, Dynamic);
VERIFY_EQ_INT( (A(seqN(2,fix<Dynamic>(5)), seqN(1,fix<Dynamic>(3)))).ColsAtCompileTime, Dynamic);
VERIFY_EQ_INT( (A(seqN(2,fix<Dynamic>(5)), seqN(1,fix<Dynamic>(3)))).rows(), 5);
VERIFY_EQ_INT( (A(seqN(2,fix<Dynamic>(5)), seqN(1,fix<Dynamic>(3)))).cols(), 3);
VERIFY( is_same_seq_type( seqN(2,5,fix<-1>), seqN(2,5,fix<-1>(-1)) ) );
VERIFY( is_same_seq_type( seqN(2,5), seqN(2,5,fix<1>(1)) ) );
VERIFY( is_same_seq_type( seqN(2,5,3), seqN(2,5,fix<DynamicIndex>(3)) ) );
VERIFY( is_same_seq_type( seq(2,7,fix<3>), seqN(2,2,fix<3>) ) );
VERIFY( is_same_seq_type( seqN(2,fix<Dynamic>(5),3), seqN(2,5,fix<DynamicIndex>(3)) ) );
VERIFY( is_same_seq_type( seqN(2,fix<5>(5),fix<-2>), seqN(2,fix<5>,fix<-2>()) ) );
VERIFY( is_same_seq_type( seq(2,fix<5>), seqN(2,4) ) );
#if EIGEN_HAS_CXX11
VERIFY( is_same_seq_type( seq(fix<2>,fix<5>), seqN(fix<2>,fix<4>) ) );
VERIFY( is_same_seq( seqN(2,std::integral_constant<int,5>(),std::integral_constant<int,-2>()), seqN(2,fix<5>,fix<-2>()) ) );
VERIFY( is_same_seq( seq(std::integral_constant<int,1>(),std::integral_constant<int,5>(),std::integral_constant<int,2>()),
seq(fix<1>,fix<5>,fix<2>()) ) );
VERIFY( is_same_seq_type( seqN(2,std::integral_constant<int,5>(),std::integral_constant<int,-2>()), seqN(2,fix<5>,fix<-2>()) ) );
VERIFY( is_same_seq_type( seq(std::integral_constant<int,1>(),std::integral_constant<int,5>(),std::integral_constant<int,2>()),
seq(fix<1>,fix<5>,fix<2>()) ) );
VERIFY( is_same_seq_type( seqN(2,std::integral_constant<int,5>()), seqN(2,fix<5>) ) );
VERIFY( is_same_seq_type( seq(std::integral_constant<int,1>(),std::integral_constant<int,5>()), seq(fix<1>,fix<5>) ) );
#else
// sorry, no compile-time size recovery in c++98/03
VERIFY( is_same_seq( seq(fix<2>,fix<5>), seqN(fix<2>,fix<4>) ) );
#endif
VERIFY( (A(seqN(2,fix<5>), 5)).RowsAtCompileTime == 5);
VERIFY( (A(4, all)).ColsAtCompileTime == Dynamic);
VERIFY( (A(4, all)).RowsAtCompileTime == 1);
VERIFY( (B(1, all)).ColsAtCompileTime == 4);
VERIFY( (B(1, all)).RowsAtCompileTime == 1);
VERIFY( (B(all,1)).ColsAtCompileTime == 1);
VERIFY( (B(all,1)).RowsAtCompileTime == 4);
VERIFY(int( (A(all, eii)).ColsAtCompileTime) == int(eii.SizeAtCompileTime));
VERIFY_EQ_INT( (A(eii, eii)).Flags&DirectAccessBit, (unsigned int)(0));
VERIFY_EQ_INT( (A(eii, eii)).InnerStrideAtCompileTime, 0);
VERIFY_EQ_INT( (A(eii, eii)).OuterStrideAtCompileTime, 0);
VERIFY_IS_APPROX( A(seq(n-1,2,-2), seqN(n-1-6,3,-1)), A(seq(last,2,fix<-2>), seqN(last-6,3,fix<-1>)) );
VERIFY_IS_APPROX( A(seq(n-1,2,-2), seqN(n-1-6,4)), A(seq(last,2,-2), seqN(last-6,4)) );
VERIFY_IS_APPROX( A(seq(n-1-6,n-1-2), seqN(n-1-6,4)), A(seq(last-6,last-2), seqN(6+last-6-6,4)) );
VERIFY_IS_APPROX( A(seq((n-1)/2,(n)/2+3), seqN(2,4)), A(seq(last/2,(last+1)/2+3), seqN(last+2-last,4)) );
VERIFY_IS_APPROX( A(seq(n-2,2,-2), seqN(n-8,4)), A(seq(end-2,2,-2), seqN(end-8,4)) );
// Check all combinations of seq:
VERIFY_IS_APPROX( A(seq(1,n-1-2,2), seq(1,n-1-2,2)), A(seq(1,last-2,2), seq(1,last-2,fix<2>)) );
VERIFY_IS_APPROX( A(seq(n-1-5,n-1-2,2), seq(n-1-5,n-1-2,2)), A(seq(last-5,last-2,2), seq(last-5,last-2,fix<2>)) );
VERIFY_IS_APPROX( A(seq(n-1-5,7,2), seq(n-1-5,7,2)), A(seq(last-5,7,2), seq(last-5,7,fix<2>)) );
VERIFY_IS_APPROX( A(seq(1,n-1-2), seq(n-1-5,7)), A(seq(1,last-2), seq(last-5,7)) );
VERIFY_IS_APPROX( A(seq(n-1-5,n-1-2), seq(n-1-5,n-1-2)), A(seq(last-5,last-2), seq(last-5,last-2)) );
VERIFY_IS_APPROX( A.col(A.cols()-1), A(all,last) );
VERIFY_IS_APPROX( A(A.rows()-2, A.cols()/2), A(last-1, end/2) );
VERIFY_IS_APPROX( a(a.size()-2), a(last-1) );
VERIFY_IS_APPROX( a(a.size()/2), a((last+1)/2) );
// Check fall-back to Block
{
VERIFY( is_same_eq(A.col(0), A(all,0)) );
VERIFY( is_same_eq(A.row(0), A(0,all)) );
VERIFY( is_same_eq(A.block(0,0,2,2), A(seqN(0,2),seq(0,1))) );
VERIFY( is_same_eq(A.middleRows(2,4), A(seqN(2,4),all)) );
VERIFY( is_same_eq(A.middleCols(2,4), A(all,seqN(2,4))) );
VERIFY( is_same_eq(A.col(A.cols()-1), A(all,last)) );
const ArrayXXi& cA(A);
VERIFY( is_same_eq(cA.col(0), cA(all,0)) );
VERIFY( is_same_eq(cA.row(0), cA(0,all)) );
VERIFY( is_same_eq(cA.block(0,0,2,2), cA(seqN(0,2),seq(0,1))) );
VERIFY( is_same_eq(cA.middleRows(2,4), cA(seqN(2,4),all)) );
VERIFY( is_same_eq(cA.middleCols(2,4), cA(all,seqN(2,4))) );
VERIFY( is_same_eq(a.head(4), a(seq(0,3))) );
VERIFY( is_same_eq(a.tail(4), a(seqN(last-3,4))) );
VERIFY( is_same_eq(a.tail(4), a(seq(end-4,last))) );
VERIFY( is_same_eq(a.segment<4>(3), a(seqN(3,fix<4>))) );
}
ArrayXXi A1=A, A2 = ArrayXXi::Random(4,4);
ArrayXi range25(4); range25 << 3,2,4,5;
A1(seqN(3,4),seq(2,5)) = A2;
VERIFY_IS_APPROX( A1.block(3,2,4,4), A2 );
A1 = A;
A2.setOnes();
A1(seq(6,3,-1),range25) = A2;
VERIFY_IS_APPROX( A1.block(3,2,4,4), A2 );
// check reverse
{
VERIFY( is_same_seq_type( seq(3,7).reverse(), seqN(7,5,fix<-1>) ) );
VERIFY( is_same_seq_type( seq(7,3,fix<-2>).reverse(), seqN(3,3,fix<2>) ) );
VERIFY_IS_APPROX( a(seqN(2,last/2).reverse()), a(seqN(2+(last/2-1)*1,last/2,fix<-1>)) );
VERIFY_IS_APPROX( a(seqN(last/2,fix<4>).reverse()),a(seqN(last/2,fix<4>)).reverse() );
VERIFY_IS_APPROX( A(seq(last-5,last-1,2).reverse(), seqN(last-3,3,fix<-2>).reverse()),
A(seq(last-5,last-1,2), seqN(last-3,3,fix<-2>)).reverse() );
}
#if EIGEN_HAS_CXX11
VERIFY( (A(all, std::array<int,4>{{1,3,2,4}})).ColsAtCompileTime == 4);
VERIFY_IS_APPROX( (A(std::array<int,3>{{1,3,5}}, std::array<int,4>{{9,6,3,0}})), A(seqN(1,3,2), seqN(9,4,-3)) );
#if (!EIGEN_COMP_CLANG) || (EIGEN_COMP_CLANG>=308 && !defined(__apple_build_version__))
VERIFY_IS_APPROX( A({3, 1, 6, 5}, all), A(std::array<int,4>{{3, 1, 6, 5}}, all) );
VERIFY_IS_APPROX( A(all,{3, 1, 6, 5}), A(all,std::array<int,4>{{3, 1, 6, 5}}) );
VERIFY_IS_APPROX( A({1,3,5},{3, 1, 6, 5}), A(std::array<int,3>{{1,3,5}},std::array<int,4>{{3, 1, 6, 5}}) );
VERIFY_IS_EQUAL( A({1,3,5},{3, 1, 6, 5}).RowsAtCompileTime, 3 );
VERIFY_IS_EQUAL( A({1,3,5},{3, 1, 6, 5}).ColsAtCompileTime, 4 );
VERIFY_IS_APPROX( a({3, 1, 6, 5}), a(std::array<int,4>{{3, 1, 6, 5}}) );
VERIFY_IS_EQUAL( a({1,3,5}).SizeAtCompileTime, 3 );
VERIFY_IS_APPROX( b({3, 1, 6, 5}), b(std::array<int,4>{{3, 1, 6, 5}}) );
VERIFY_IS_EQUAL( b({1,3,5}).SizeAtCompileTime, 3 );
#endif
#endif
// check mat(i,j) with weird types for i and j
{
VERIFY_IS_APPROX( A(B.RowsAtCompileTime-1, 1), A(3,1) );
VERIFY_IS_APPROX( A(B.RowsAtCompileTime, 1), A(4,1) );
VERIFY_IS_APPROX( A(B.RowsAtCompileTime-1, B.ColsAtCompileTime-1), A(3,3) );
VERIFY_IS_APPROX( A(B.RowsAtCompileTime, B.ColsAtCompileTime), A(4,4) );
const Index I = 3, J = 4;
VERIFY_IS_APPROX( A(I,J), A(3,4) );
}
// check extended block API
{
VERIFY( is_same_eq( A.block<3,4>(1,1), A.block(1,1,fix<3>,fix<4>)) );
VERIFY( is_same_eq( A.block<3,4>(1,1,3,4), A.block(1,1,fix<3>(),fix<4>(4))) );
VERIFY( is_same_eq( A.block<3,Dynamic>(1,1,3,4), A.block(1,1,fix<3>,4)) );
VERIFY( is_same_eq( A.block<Dynamic,4>(1,1,3,4), A.block(1,1,fix<Dynamic>(3),fix<4>)) );
VERIFY( is_same_eq( A.block(1,1,3,4), A.block(1,1,fix<Dynamic>(3),fix<Dynamic>(4))) );
VERIFY( is_same_eq( A.topLeftCorner<3,4>(), A.topLeftCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( A.bottomLeftCorner<3,4>(), A.bottomLeftCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( A.bottomRightCorner<3,4>(), A.bottomRightCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( A.topRightCorner<3,4>(), A.topRightCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( A.leftCols<3>(), A.leftCols(fix<3>)) );
VERIFY( is_same_eq( A.rightCols<3>(), A.rightCols(fix<3>)) );
VERIFY( is_same_eq( A.middleCols<3>(1), A.middleCols(1,fix<3>)) );
VERIFY( is_same_eq( A.topRows<3>(), A.topRows(fix<3>)) );
VERIFY( is_same_eq( A.bottomRows<3>(), A.bottomRows(fix<3>)) );
VERIFY( is_same_eq( A.middleRows<3>(1), A.middleRows(1,fix<3>)) );
VERIFY( is_same_eq( a.segment<3>(1), a.segment(1,fix<3>)) );
VERIFY( is_same_eq( a.head<3>(), a.head(fix<3>)) );
VERIFY( is_same_eq( a.tail<3>(), a.tail(fix<3>)) );
const ArrayXXi& cA(A);
VERIFY( is_same_eq( cA.block<Dynamic,4>(1,1,3,4), cA.block(1,1,fix<Dynamic>(3),fix<4>)) );
VERIFY( is_same_eq( cA.topLeftCorner<3,4>(), cA.topLeftCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( cA.bottomLeftCorner<3,4>(), cA.bottomLeftCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( cA.bottomRightCorner<3,4>(), cA.bottomRightCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( cA.topRightCorner<3,4>(), cA.topRightCorner(fix<3>,fix<4>)) );
VERIFY( is_same_eq( cA.leftCols<3>(), cA.leftCols(fix<3>)) );
VERIFY( is_same_eq( cA.rightCols<3>(), cA.rightCols(fix<3>)) );
VERIFY( is_same_eq( cA.middleCols<3>(1), cA.middleCols(1,fix<3>)) );
VERIFY( is_same_eq( cA.topRows<3>(), cA.topRows(fix<3>)) );
VERIFY( is_same_eq( cA.bottomRows<3>(), cA.bottomRows(fix<3>)) );
VERIFY( is_same_eq( cA.middleRows<3>(1), cA.middleRows(1,fix<3>)) );
}
}
void test_indexed_view()
{
// for(int i = 0; i < g_repeat; i++) {
CALL_SUBTEST_1( check_indexed_view() );
CALL_SUBTEST_2( check_indexed_view() );
CALL_SUBTEST_3( check_indexed_view() );
// }
}
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