diff --git a/python/core/geometry/qgslinestringv2.sip b/python/core/geometry/qgslinestringv2.sip
index 876b43d641d..26f4406aedd 100644
--- a/python/core/geometry/qgslinestringv2.sip
+++ b/python/core/geometry/qgslinestringv2.sip
@@ -14,6 +14,9 @@ class QgsLineStringV2: public QgsCurveV2
     QgsLineStringV2();
     ~QgsLineStringV2();
 
+    bool operator==( const QgsLineStringV2& other ) const;
+    bool operator!=( const QgsLineStringV2& other ) const;
+
     /** Returns the specified point from inside the line string.
      * @param i index of point, starting at 0 for the first point
      */
diff --git a/src/core/geometry/qgslinestringv2.cpp b/src/core/geometry/qgslinestringv2.cpp
index 75478324a0c..52db8f6031d 100644
--- a/src/core/geometry/qgslinestringv2.cpp
+++ b/src/core/geometry/qgslinestringv2.cpp
@@ -41,6 +41,35 @@ QgsLineStringV2::QgsLineStringV2(): QgsCurveV2()
 QgsLineStringV2::~QgsLineStringV2()
 {}
 
+bool QgsLineStringV2::operator==( const QgsLineStringV2& other ) const
+{
+  if ( mWkbType != other.mWkbType )
+    return false;
+
+  if ( mX.count() != other.mX.count() )
+    return false;
+
+  for ( int i = 0; i < mX.count(); ++i )
+  {
+    if ( !qgsDoubleNear( mX.at( i ), other.mX.at( i ) )
+         || !qgsDoubleNear( mY.at( i ), other.mY.at( i ) ) )
+      return false;
+
+    if ( is3D() && !qgsDoubleNear( mZ.at( i ), other.mZ.at( i ) ) )
+      return false;
+
+    if ( isMeasure() && !qgsDoubleNear( mM.at( i ), other.mM.at( i ) ) )
+      return false;
+  }
+
+  return true;
+}
+
+bool QgsLineStringV2::operator!=( const QgsLineStringV2& other ) const
+{
+  return !operator==( other );
+}
+
 QgsLineStringV2 *QgsLineStringV2::clone() const
 {
   return new QgsLineStringV2( *this );
diff --git a/src/core/geometry/qgslinestringv2.h b/src/core/geometry/qgslinestringv2.h
index e3ac066bd4c..c000c2d9fd2 100644
--- a/src/core/geometry/qgslinestringv2.h
+++ b/src/core/geometry/qgslinestringv2.h
@@ -39,6 +39,9 @@ class CORE_EXPORT QgsLineStringV2: public QgsCurveV2
     QgsLineStringV2();
     ~QgsLineStringV2();
 
+    bool operator==( const QgsLineStringV2& other ) const;
+    bool operator!=( const QgsLineStringV2& other ) const;
+
     /** Returns the specified point from inside the line string.
      * @param i index of point, starting at 0 for the first point
      */
diff --git a/tests/src/core/testqgsgeometry.cpp b/tests/src/core/testqgsgeometry.cpp
index 32fdd7bc1c2..e1b73cafd43 100644
--- a/tests/src/core/testqgsgeometry.cpp
+++ b/tests/src/core/testqgsgeometry.cpp
@@ -1075,6 +1075,47 @@ void TestQgsGeometry::lineStringV2()
   QCOMPARE( l10.pointN( 1 ), QgsPointV2( QgsWKBTypes::Point25D, 31, 32, 33 ) );
   QCOMPARE( l10.pointN( 2 ), QgsPointV2( QgsWKBTypes::Point25D, 41, 42, 43 ) );
 
+  //equality
+  QgsLineStringV2 e1;
+  QgsLineStringV2 e2;
+  QVERIFY( e1 == e2 );
+  QVERIFY( !( e1 != e2 ) );
+  e1.addVertex( QgsPointV2( 1, 2 ) );
+  QVERIFY( !( e1 == e2 ) ); //different number of vertices
+  QVERIFY( e1 != e2 );
+  e2.addVertex( QgsPointV2( 1, 2 ) );
+  QVERIFY( e1 == e2 );
+  QVERIFY( !( e1 != e2 ) );
+  e1.addVertex( QgsPointV2( 1 / 3.0, 4 / 3.0 ) );
+  e2.addVertex( QgsPointV2( 2 / 6.0, 8 / 6.0 ) );
+  QVERIFY( e1 == e2 ); //check non-integer equality
+  QVERIFY( !( e1 != e2 ) );
+  e1.addVertex( QgsPointV2( 7, 8 ) );
+  e2.addVertex( QgsPointV2( 6, 9 ) );
+  QVERIFY( !( e1 == e2 ) ); //different coordinates
+  QVERIFY( e1 != e2 );
+  QgsLineStringV2 e3;
+  e3.setPoints( QList< QgsPointV2 >() << QgsPointV2( QgsWKBTypes::PointZ, 1, 2, 0 )
+                << QgsPointV2( QgsWKBTypes::PointZ, 1 / 3.0, 4 / 3.0, 0 )
+                << QgsPointV2( QgsWKBTypes::PointZ, 7, 8, 0 ) );
+  QVERIFY( !( e1 == e3 ) ); //different dimension
+  QVERIFY( e1 != e3 );
+  QgsLineStringV2 e4;
+  e4.setPoints( QList< QgsPointV2 >() << QgsPointV2( QgsWKBTypes::PointZ, 1, 2, 2 )
+                << QgsPointV2( QgsWKBTypes::PointZ, 1 / 3.0, 4 / 3.0, 3 )
+                << QgsPointV2( QgsWKBTypes::PointZ, 7, 8, 4 ) );
+  QVERIFY( !( e3 == e4 ) ); //different z coordinates
+  QVERIFY( e3 != e4 );
+  QgsLineStringV2 e5;
+  e5.setPoints( QList< QgsPointV2 >() << QgsPointV2( QgsWKBTypes::PointM, 1, 2, 0, 1 )
+                << QgsPointV2( QgsWKBTypes::PointM, 1 / 3.0, 4 / 3.0, 0, 2 )
+                << QgsPointV2( QgsWKBTypes::PointM, 7, 8, 0, 3 ) );
+  QgsLineStringV2 e6;
+  e6.setPoints( QList< QgsPointV2 >() << QgsPointV2( QgsWKBTypes::PointM, 1, 2, 0, 11 )
+                << QgsPointV2( QgsWKBTypes::PointM, 1 / 3.0, 4 / 3.0, 0, 12 )
+                << QgsPointV2( QgsWKBTypes::PointM, 7, 8, 0, 13 ) );
+  QVERIFY( !( e5 == e6 ) ); //different m values
+  QVERIFY( e5 != e6 );
 
   //close/isClosed
   QgsLineStringV2 l11;