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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
+// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
+//
+// Eigen is free software; you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public
+// License as published by the Free Software Foundation; either
+// version 3 of the License, or (at your option) any later version.
+//
+// Alternatively, 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 2 of
+// the License, or (at your option) any later version.
+//
+// Eigen 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 Lesser General Public License or the
+// GNU General Public License for more details.
+//
+// You should have received a copy of the GNU Lesser General Public
+// License and a copy of the GNU General Public License along with
+// Eigen. If not, see <http://www.gnu.org/licenses/>.
+
+#ifndef EIGEN_CONSTANTS_H
+#define EIGEN_CONSTANTS_H
+
+/** This value means that a quantity is not known at compile-time, and that instead the value is
+ * stored in some runtime variable.
+ *
+ * Explanation for the choice of this value:
+ * - It should be positive and larger than any reasonable compile-time-fixed number of rows or columns.
+ * This allows to simplify many compile-time conditions throughout Eigen.
+ * - It should be smaller than the sqrt of INT_MAX. Indeed, we often multiply a number of rows with a number
+ * of columns in order to compute a number of coefficients. Even if we guard that with an "if" checking whether
+ * the values are Dynamic, we still get a compiler warning "integer overflow". So the only way to get around
+ * it would be a meta-selector. Doing this everywhere would reduce code readability and lenghten compilation times.
+ * Also, disabling compiler warnings for integer overflow, sounds like a bad idea.
+ *
+ * If you wish to port Eigen to a platform where sizeof(int)==2, it is perfectly possible to set Dynamic to, say, 100.
+ */
+const int Dynamic = 10000;
+
+/** This value means +Infinity; it is currently used only as the p parameter to MatrixBase::lpNorm<int>().
+ * The value Infinity there means the L-infinity norm.
+ */
+const int Infinity = -1;
+
+/** \defgroup flags flags
+ * \ingroup Core_Module
+ *
+ * These are the possible bits which can be OR'ed to constitute the flags of a matrix or
+ * expression.
+ *
+ * It is important to note that these flags are a purely compile-time notion. They are a compile-time property of
+ * an expression type, implemented as enum's. They are not stored in memory at runtime, and they do not incur any
+ * runtime overhead.
+ *
+ * \sa MatrixBase::Flags
+ */
+
+/** \ingroup flags
+ *
+ * for a matrix, this means that the storage order is row-major.
+ * If this bit is not set, the storage order is column-major.
+ * For an expression, this determines the storage order of
+ * the matrix created by evaluation of that expression. */
+const unsigned int RowMajorBit = 0x1;
+
+/** \ingroup flags
+ *
+ * means the expression should be evaluated by the calling expression */
+const unsigned int EvalBeforeNestingBit = 0x2;
+
+/** \ingroup flags
+ *
+ * means the expression should be evaluated before any assignement */
+const unsigned int EvalBeforeAssigningBit = 0x4;
+
+/** \ingroup flags
+ *
+ * Short version: means the expression might be vectorized
+ *
+ * Long version: means that the coefficients can be handled by packets
+ * and start at a memory location whose alignment meets the requirements
+ * of the present CPU architecture for optimized packet access. In the fixed-size
+ * case, there is the additional condition that the total size of the coefficients
+ * array is a multiple of the packet size, so that it is possible to access all the
+ * coefficients by packets. In the dynamic-size case, there is no such condition
+ * on the total size, so it might not be possible to access the few last coeffs
+ * by packets.
+ *
+ * \note This bit can be set regardless of whether vectorization is actually enabled.
+ * To check for actual vectorizability, see \a ActualPacketAccessBit.
+ */
+const unsigned int PacketAccessBit = 0x8;
+
+#ifdef EIGEN_VECTORIZE
+/** \ingroup flags
+ *
+ * If vectorization is enabled (EIGEN_VECTORIZE is defined) this constant
+ * is set to the value \a PacketAccessBit.
+ *
+ * If vectorization is not enabled (EIGEN_VECTORIZE is not defined) this constant
+ * is set to the value 0.
+ */
+const unsigned int ActualPacketAccessBit = PacketAccessBit;
+#else
+const unsigned int ActualPacketAccessBit = 0x0;
+#endif
+
+/** \ingroup flags
+ *
+ * Short version: means the expression can be seen as 1D vector.
+ *
+ * Long version: means that one can access the coefficients
+ * of this expression by coeff(int), and coeffRef(int) in the case of a lvalue expression. These
+ * index-based access methods are guaranteed
+ * to not have to do any runtime computation of a (row, col)-pair from the index, so that it
+ * is guaranteed that whenever it is available, index-based access is at least as fast as
+ * (row,col)-based access. Expressions for which that isn't possible don't have the LinearAccessBit.
+ *
+ * If both PacketAccessBit and LinearAccessBit are set, then the
+ * packets of this expression can be accessed by packet(int), and writePacket(int) in the case of a
+ * lvalue expression.
+ *
+ * Typically, all vector expressions have the LinearAccessBit, but there is one exception:
+ * Product expressions don't have it, because it would be troublesome for vectorization, even when the
+ * Product is a vector expression. Thus, vector Product expressions allow index-based coefficient access but
+ * not index-based packet access, so they don't have the LinearAccessBit.
+ */
+const unsigned int LinearAccessBit = 0x10;
+
+/** \ingroup flags
+ *
+ * Means that the underlying array of coefficients can be directly accessed. This means two things.
+ * First, references to the coefficients must be available through coeffRef(int, int). This rules out read-only
+ * expressions whose coefficients are computed on demand by coeff(int, int). Second, the memory layout of the
+ * array of coefficients must be exactly the natural one suggested by rows(), cols(), stride(), and the RowMajorBit.
+ * This rules out expressions such as DiagonalCoeffs, whose coefficients, though referencable, do not have
+ * such a regular memory layout.
+ */
+const unsigned int DirectAccessBit = 0x20;
+
+/** \ingroup flags
+ *
+ * means the first coefficient packet is guaranteed to be aligned */
+const unsigned int AlignedBit = 0x40;
+
+/** \ingroup flags
+ *
+ * means all diagonal coefficients are equal to 0 */
+const unsigned int ZeroDiagBit = 0x80;
+
+/** \ingroup flags
+ *
+ * means all diagonal coefficients are equal to 1 */
+const unsigned int UnitDiagBit = 0x100;
+
+/** \ingroup flags
+ *
+ * means the matrix is selfadjoint (M=M*). */
+const unsigned int SelfAdjointBit = 0x200;
+
+/** \ingroup flags
+ *
+ * means the strictly lower triangular part is 0 */
+const unsigned int UpperTriangularBit = 0x400;
+
+/** \ingroup flags
+ *
+ * means the strictly upper triangular part is 0 */
+const unsigned int LowerTriangularBit = 0x800;
+
+/** \ingroup flags
+ *
+ * means the expression includes sparse matrices and the sparse path has to be taken. */
+const unsigned int SparseBit = 0x1000;
+
+// list of flags that are inherited by default
+const unsigned int HereditaryBits = RowMajorBit
+ | EvalBeforeNestingBit
+ | EvalBeforeAssigningBit
+ | SparseBit;
+
+// Possible values for the Mode parameter of part() and of extract()
+const unsigned int UpperTriangular = UpperTriangularBit;
+const unsigned int StrictlyUpperTriangular = UpperTriangularBit | ZeroDiagBit;
+const unsigned int LowerTriangular = LowerTriangularBit;
+const unsigned int StrictlyLowerTriangular = LowerTriangularBit | ZeroDiagBit;
+const unsigned int SelfAdjoint = SelfAdjointBit;
+
+// additional possible values for the Mode parameter of extract()
+const unsigned int UnitUpperTriangular = UpperTriangularBit | UnitDiagBit;
+const unsigned int UnitLowerTriangular = LowerTriangularBit | UnitDiagBit;
+const unsigned int Diagonal = UpperTriangular | LowerTriangular;
+
+enum { Aligned, Unaligned };
+enum { ForceAligned, AsRequested };
+enum { ConditionalJumpCost = 5 };
+enum CornerType { TopLeft, TopRight, BottomLeft, BottomRight };
+enum DirectionType { Vertical, Horizontal };
+enum ProductEvaluationMode { NormalProduct, CacheFriendlyProduct, DiagonalProduct, SparseTimeSparseProduct, SparseTimeDenseProduct, DenseTimeSparseProduct };
+
+enum {
+ /** \internal Equivalent to a slice vectorization for fixed-size matrices having good alignment
+ * and good size */
+ InnerVectorization,
+ /** \internal Vectorization path using a single loop plus scalar loops for the
+ * unaligned boundaries */
+ LinearVectorization,
+ /** \internal Generic vectorization path using one vectorized loop per row/column with some
+ * scalar loops to handle the unaligned boundaries */
+ SliceVectorization,
+ NoVectorization
+};
+
+enum {
+ NoUnrolling,
+ InnerUnrolling,
+ CompleteUnrolling
+};
+
+enum {
+ ColMajor = 0,
+ RowMajor = 0x1, // it is only a coincidence that this is equal to RowMajorBit -- don't rely on that
+ /** \internal Don't require alignment for the matrix itself (the array of coefficients, if dynamically allocated, may still be
+ requested to be aligned) */
+ DontAlign = 0,
+ /** \internal Align the matrix itself if it is vectorizable fixed-size */
+ AutoAlign = 0x2
+};
+
+enum {
+ IsDense = 0,
+ IsSparse = SparseBit,
+ NoDirectAccess = 0,
+ HasDirectAccess = DirectAccessBit
+};
+
+const int EiArch_Generic = 0x0;
+const int EiArch_SSE = 0x1;
+const int EiArch_AltiVec = 0x2;
+
+#if defined EIGEN_VECTORIZE_SSE
+ const int EiArch = EiArch_SSE;
+#elif defined EIGEN_VECTORIZE_ALTIVEC
+ const int EiArch = EiArch_AltiVec;
+#else
+ const int EiArch = EiArch_Generic;
+#endif
+
+#endif // EIGEN_CONSTANTS_H