Jaesung Oh / Eigen

Eigne Matrix Class Library

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src/Core/Redux.h@0:13a5d365ba16, 2016-10-13 (annotated)

Committer:
ykuroda
Date:
Thu Oct 13 04:07:23 2016 +0000
Revision:
0:13a5d365ba16
First commint, Eigne Matrix Class Library

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ykuroda 0:13a5d365ba16 1 // This file is part of Eigen, a lightweight C++ template library
ykuroda 0:13a5d365ba16 2 // for linear algebra.
ykuroda 0:13a5d365ba16 3 //
ykuroda 0:13a5d365ba16 4 // Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
ykuroda 0:13a5d365ba16 5 // Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
ykuroda 0:13a5d365ba16 6 //
ykuroda 0:13a5d365ba16 7 // This Source Code Form is subject to the terms of the Mozilla
ykuroda 0:13a5d365ba16 8 // Public License v. 2.0. If a copy of the MPL was not distributed
ykuroda 0:13a5d365ba16 9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
ykuroda 0:13a5d365ba16 10
ykuroda 0:13a5d365ba16 11 #ifndef EIGEN_REDUX_H
ykuroda 0:13a5d365ba16 12 #define EIGEN_REDUX_H
ykuroda 0:13a5d365ba16 13
ykuroda 0:13a5d365ba16 14 namespace Eigen {
ykuroda 0:13a5d365ba16 15
ykuroda 0:13a5d365ba16 16 namespace internal {
ykuroda 0:13a5d365ba16 17
ykuroda 0:13a5d365ba16 18 // TODO
ykuroda 0:13a5d365ba16 19 // * implement other kind of vectorization
ykuroda 0:13a5d365ba16 20 // * factorize code
ykuroda 0:13a5d365ba16 21
ykuroda 0:13a5d365ba16 22 /***************************************************************************
ykuroda 0:13a5d365ba16 23 * Part 1 : the logic deciding a strategy for vectorization and unrolling
ykuroda 0:13a5d365ba16 24 ***************************************************************************/
ykuroda 0:13a5d365ba16 25
ykuroda 0:13a5d365ba16 26 template<typename Func, typename Derived>
ykuroda 0:13a5d365ba16 27 struct redux_traits
ykuroda 0:13a5d365ba16 28 {
ykuroda 0:13a5d365ba16 29 public:
ykuroda 0:13a5d365ba16 30 enum {
ykuroda 0:13a5d365ba16 31 PacketSize = packet_traits<typename Derived::Scalar>::size,
ykuroda 0:13a5d365ba16 32 InnerMaxSize = int(Derived::IsRowMajor)
ykuroda 0:13a5d365ba16 33 ? Derived::MaxColsAtCompileTime
ykuroda 0:13a5d365ba16 34 : Derived::MaxRowsAtCompileTime
ykuroda 0:13a5d365ba16 35 };
ykuroda 0:13a5d365ba16 36
ykuroda 0:13a5d365ba16 37 enum {
ykuroda 0:13a5d365ba16 38 MightVectorize = (int(Derived::Flags)&ActualPacketAccessBit)
ykuroda 0:13a5d365ba16 39 && (functor_traits<Func>::PacketAccess),
ykuroda 0:13a5d365ba16 40 MayLinearVectorize = MightVectorize && (int(Derived::Flags)&LinearAccessBit),
ykuroda 0:13a5d365ba16 41 MaySliceVectorize = MightVectorize && int(InnerMaxSize)>=3*PacketSize
ykuroda 0:13a5d365ba16 42 };
ykuroda 0:13a5d365ba16 43
ykuroda 0:13a5d365ba16 44 public:
ykuroda 0:13a5d365ba16 45 enum {
ykuroda 0:13a5d365ba16 46 Traversal = int(MayLinearVectorize) ? int(LinearVectorizedTraversal)
ykuroda 0:13a5d365ba16 47 : int(MaySliceVectorize) ? int(SliceVectorizedTraversal)
ykuroda 0:13a5d365ba16 48 : int(DefaultTraversal)
ykuroda 0:13a5d365ba16 49 };
ykuroda 0:13a5d365ba16 50
ykuroda 0:13a5d365ba16 51 public:
ykuroda 0:13a5d365ba16 52 enum {
ykuroda 0:13a5d365ba16 53 Cost = ( Derived::SizeAtCompileTime == Dynamic
ykuroda 0:13a5d365ba16 54 || Derived::CoeffReadCost == Dynamic
ykuroda 0:13a5d365ba16 55 || (Derived::SizeAtCompileTime!=1 && functor_traits<Func>::Cost == Dynamic)
ykuroda 0:13a5d365ba16 56 ) ? Dynamic
ykuroda 0:13a5d365ba16 57 : Derived::SizeAtCompileTime * Derived::CoeffReadCost
ykuroda 0:13a5d365ba16 58 + (Derived::SizeAtCompileTime-1) * functor_traits<Func>::Cost,
ykuroda 0:13a5d365ba16 59 UnrollingLimit = EIGEN_UNROLLING_LIMIT * (int(Traversal) == int(DefaultTraversal) ? 1 : int(PacketSize))
ykuroda 0:13a5d365ba16 60 };
ykuroda 0:13a5d365ba16 61
ykuroda 0:13a5d365ba16 62 public:
ykuroda 0:13a5d365ba16 63 enum {
ykuroda 0:13a5d365ba16 64 Unrolling = Cost != Dynamic && Cost <= UnrollingLimit
ykuroda 0:13a5d365ba16 65 ? CompleteUnrolling
ykuroda 0:13a5d365ba16 66 : NoUnrolling
ykuroda 0:13a5d365ba16 67 };
ykuroda 0:13a5d365ba16 68 };
ykuroda 0:13a5d365ba16 69
ykuroda 0:13a5d365ba16 70 /***************************************************************************
ykuroda 0:13a5d365ba16 71 * Part 2 : unrollers
ykuroda 0:13a5d365ba16 72 ***************************************************************************/
ykuroda 0:13a5d365ba16 73
ykuroda 0:13a5d365ba16 74 /*** no vectorization ***/
ykuroda 0:13a5d365ba16 75
ykuroda 0:13a5d365ba16 76 template<typename Func, typename Derived, int Start, int Length>
ykuroda 0:13a5d365ba16 77 struct redux_novec_unroller
ykuroda 0:13a5d365ba16 78 {
ykuroda 0:13a5d365ba16 79 enum {
ykuroda 0:13a5d365ba16 80 HalfLength = Length/2
ykuroda 0:13a5d365ba16 81 };
ykuroda 0:13a5d365ba16 82
ykuroda 0:13a5d365ba16 83 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 84
ykuroda 0:13a5d365ba16 85 static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func& func)
ykuroda 0:13a5d365ba16 86 {
ykuroda 0:13a5d365ba16 87 return func(redux_novec_unroller<Func, Derived, Start, HalfLength>::run(mat,func),
ykuroda 0:13a5d365ba16 88 redux_novec_unroller<Func, Derived, Start+HalfLength, Length-HalfLength>::run(mat,func));
ykuroda 0:13a5d365ba16 89 }
ykuroda 0:13a5d365ba16 90 };
ykuroda 0:13a5d365ba16 91
ykuroda 0:13a5d365ba16 92 template<typename Func, typename Derived, int Start>
ykuroda 0:13a5d365ba16 93 struct redux_novec_unroller<Func, Derived, Start, 1>
ykuroda 0:13a5d365ba16 94 {
ykuroda 0:13a5d365ba16 95 enum {
ykuroda 0:13a5d365ba16 96 outer = Start / Derived::InnerSizeAtCompileTime,
ykuroda 0:13a5d365ba16 97 inner = Start % Derived::InnerSizeAtCompileTime
ykuroda 0:13a5d365ba16 98 };
ykuroda 0:13a5d365ba16 99
ykuroda 0:13a5d365ba16 100 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 101
ykuroda 0:13a5d365ba16 102 static EIGEN_STRONG_INLINE Scalar run(const Derived &mat, const Func&)
ykuroda 0:13a5d365ba16 103 {
ykuroda 0:13a5d365ba16 104 return mat.coeffByOuterInner(outer, inner);
ykuroda 0:13a5d365ba16 105 }
ykuroda 0:13a5d365ba16 106 };
ykuroda 0:13a5d365ba16 107
ykuroda 0:13a5d365ba16 108 // This is actually dead code and will never be called. It is required
ykuroda 0:13a5d365ba16 109 // to prevent false warnings regarding failed inlining though
ykuroda 0:13a5d365ba16 110 // for 0 length run() will never be called at all.
ykuroda 0:13a5d365ba16 111 template<typename Func, typename Derived, int Start>
ykuroda 0:13a5d365ba16 112 struct redux_novec_unroller<Func, Derived, Start, 0>
ykuroda 0:13a5d365ba16 113 {
ykuroda 0:13a5d365ba16 114 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 115 static EIGEN_STRONG_INLINE Scalar run(const Derived&, const Func&) { return Scalar(); }
ykuroda 0:13a5d365ba16 116 };
ykuroda 0:13a5d365ba16 117
ykuroda 0:13a5d365ba16 118 /*** vectorization ***/
ykuroda 0:13a5d365ba16 119
ykuroda 0:13a5d365ba16 120 template<typename Func, typename Derived, int Start, int Length>
ykuroda 0:13a5d365ba16 121 struct redux_vec_unroller
ykuroda 0:13a5d365ba16 122 {
ykuroda 0:13a5d365ba16 123 enum {
ykuroda 0:13a5d365ba16 124 PacketSize = packet_traits<typename Derived::Scalar>::size,
ykuroda 0:13a5d365ba16 125 HalfLength = Length/2
ykuroda 0:13a5d365ba16 126 };
ykuroda 0:13a5d365ba16 127
ykuroda 0:13a5d365ba16 128 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 129 typedef typename packet_traits<Scalar>::type PacketScalar;
ykuroda 0:13a5d365ba16 130
ykuroda 0:13a5d365ba16 131 static EIGEN_STRONG_INLINE PacketScalar run(const Derived &mat, const Func& func)
ykuroda 0:13a5d365ba16 132 {
ykuroda 0:13a5d365ba16 133 return func.packetOp(
ykuroda 0:13a5d365ba16 134 redux_vec_unroller<Func, Derived, Start, HalfLength>::run(mat,func),
ykuroda 0:13a5d365ba16 135 redux_vec_unroller<Func, Derived, Start+HalfLength, Length-HalfLength>::run(mat,func) );
ykuroda 0:13a5d365ba16 136 }
ykuroda 0:13a5d365ba16 137 };
ykuroda 0:13a5d365ba16 138
ykuroda 0:13a5d365ba16 139 template<typename Func, typename Derived, int Start>
ykuroda 0:13a5d365ba16 140 struct redux_vec_unroller<Func, Derived, Start, 1>
ykuroda 0:13a5d365ba16 141 {
ykuroda 0:13a5d365ba16 142 enum {
ykuroda 0:13a5d365ba16 143 index = Start * packet_traits<typename Derived::Scalar>::size,
ykuroda 0:13a5d365ba16 144 outer = index / int(Derived::InnerSizeAtCompileTime),
ykuroda 0:13a5d365ba16 145 inner = index % int(Derived::InnerSizeAtCompileTime),
ykuroda 0:13a5d365ba16 146 alignment = (Derived::Flags & AlignedBit) ? Aligned : Unaligned
ykuroda 0:13a5d365ba16 147 };
ykuroda 0:13a5d365ba16 148
ykuroda 0:13a5d365ba16 149 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 150 typedef typename packet_traits<Scalar>::type PacketScalar;
ykuroda 0:13a5d365ba16 151
ykuroda 0:13a5d365ba16 152 static EIGEN_STRONG_INLINE PacketScalar run(const Derived &mat, const Func&)
ykuroda 0:13a5d365ba16 153 {
ykuroda 0:13a5d365ba16 154 return mat.template packetByOuterInner<alignment>(outer, inner);
ykuroda 0:13a5d365ba16 155 }
ykuroda 0:13a5d365ba16 156 };
ykuroda 0:13a5d365ba16 157
ykuroda 0:13a5d365ba16 158 /***************************************************************************
ykuroda 0:13a5d365ba16 159 * Part 3 : implementation of all cases
ykuroda 0:13a5d365ba16 160 ***************************************************************************/
ykuroda 0:13a5d365ba16 161
ykuroda 0:13a5d365ba16 162 template<typename Func, typename Derived,
ykuroda 0:13a5d365ba16 163 int Traversal = redux_traits<Func, Derived>::Traversal,
ykuroda 0:13a5d365ba16 164 int Unrolling = redux_traits<Func, Derived>::Unrolling
ykuroda 0:13a5d365ba16 165 >
ykuroda 0:13a5d365ba16 166 struct redux_impl;
ykuroda 0:13a5d365ba16 167
ykuroda 0:13a5d365ba16 168 template<typename Func, typename Derived>
ykuroda 0:13a5d365ba16 169 struct redux_impl<Func, Derived, DefaultTraversal, NoUnrolling>
ykuroda 0:13a5d365ba16 170 {
ykuroda 0:13a5d365ba16 171 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 172 typedef typename Derived::Index Index;
ykuroda 0:13a5d365ba16 173 static EIGEN_STRONG_INLINE Scalar run(const Derived& mat, const Func& func)
ykuroda 0:13a5d365ba16 174 {
ykuroda 0:13a5d365ba16 175 eigen_assert(mat.rows()>0 && mat.cols()>0 && "you are using an empty matrix");
ykuroda 0:13a5d365ba16 176 Scalar res;
ykuroda 0:13a5d365ba16 177 res = mat.coeffByOuterInner(0, 0);
ykuroda 0:13a5d365ba16 178 for(Index i = 1; i < mat.innerSize(); ++i)
ykuroda 0:13a5d365ba16 179 res = func(res, mat.coeffByOuterInner(0, i));
ykuroda 0:13a5d365ba16 180 for(Index i = 1; i < mat.outerSize(); ++i)
ykuroda 0:13a5d365ba16 181 for(Index j = 0; j < mat.innerSize(); ++j)
ykuroda 0:13a5d365ba16 182 res = func(res, mat.coeffByOuterInner(i, j));
ykuroda 0:13a5d365ba16 183 return res;
ykuroda 0:13a5d365ba16 184 }
ykuroda 0:13a5d365ba16 185 };
ykuroda 0:13a5d365ba16 186
ykuroda 0:13a5d365ba16 187 template<typename Func, typename Derived>
ykuroda 0:13a5d365ba16 188 struct redux_impl<Func,Derived, DefaultTraversal, CompleteUnrolling>
ykuroda 0:13a5d365ba16 189 : public redux_novec_unroller<Func,Derived, 0, Derived::SizeAtCompileTime>
ykuroda 0:13a5d365ba16 190 {};
ykuroda 0:13a5d365ba16 191
ykuroda 0:13a5d365ba16 192 template<typename Func, typename Derived>
ykuroda 0:13a5d365ba16 193 struct redux_impl<Func, Derived, LinearVectorizedTraversal, NoUnrolling>
ykuroda 0:13a5d365ba16 194 {
ykuroda 0:13a5d365ba16 195 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 196 typedef typename packet_traits<Scalar>::type PacketScalar;
ykuroda 0:13a5d365ba16 197 typedef typename Derived::Index Index;
ykuroda 0:13a5d365ba16 198
ykuroda 0:13a5d365ba16 199 static Scalar run(const Derived& mat, const Func& func)
ykuroda 0:13a5d365ba16 200 {
ykuroda 0:13a5d365ba16 201 const Index size = mat.size();
ykuroda 0:13a5d365ba16 202 eigen_assert(size && "you are using an empty matrix");
ykuroda 0:13a5d365ba16 203 const Index packetSize = packet_traits<Scalar>::size;
ykuroda 0:13a5d365ba16 204 const Index alignedStart = internal::first_aligned(mat);
ykuroda 0:13a5d365ba16 205 enum {
ykuroda 0:13a5d365ba16 206 alignment = bool(Derived::Flags & DirectAccessBit) || bool(Derived::Flags & AlignedBit)
ykuroda 0:13a5d365ba16 207 ? Aligned : Unaligned
ykuroda 0:13a5d365ba16 208 };
ykuroda 0:13a5d365ba16 209 const Index alignedSize2 = ((size-alignedStart)/(2*packetSize))*(2*packetSize);
ykuroda 0:13a5d365ba16 210 const Index alignedSize = ((size-alignedStart)/(packetSize))*(packetSize);
ykuroda 0:13a5d365ba16 211 const Index alignedEnd2 = alignedStart + alignedSize2;
ykuroda 0:13a5d365ba16 212 const Index alignedEnd = alignedStart + alignedSize;
ykuroda 0:13a5d365ba16 213 Scalar res;
ykuroda 0:13a5d365ba16 214 if(alignedSize)
ykuroda 0:13a5d365ba16 215 {
ykuroda 0:13a5d365ba16 216 PacketScalar packet_res0 = mat.template packet<alignment>(alignedStart);
ykuroda 0:13a5d365ba16 217 if(alignedSize>packetSize) // we have at least two packets to partly unroll the loop
ykuroda 0:13a5d365ba16 218 {
ykuroda 0:13a5d365ba16 219 PacketScalar packet_res1 = mat.template packet<alignment>(alignedStart+packetSize);
ykuroda 0:13a5d365ba16 220 for(Index index = alignedStart + 2*packetSize; index < alignedEnd2; index += 2*packetSize)
ykuroda 0:13a5d365ba16 221 {
ykuroda 0:13a5d365ba16 222 packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment>(index));
ykuroda 0:13a5d365ba16 223 packet_res1 = func.packetOp(packet_res1, mat.template packet<alignment>(index+packetSize));
ykuroda 0:13a5d365ba16 224 }
ykuroda 0:13a5d365ba16 225
ykuroda 0:13a5d365ba16 226 packet_res0 = func.packetOp(packet_res0,packet_res1);
ykuroda 0:13a5d365ba16 227 if(alignedEnd>alignedEnd2)
ykuroda 0:13a5d365ba16 228 packet_res0 = func.packetOp(packet_res0, mat.template packet<alignment>(alignedEnd2));
ykuroda 0:13a5d365ba16 229 }
ykuroda 0:13a5d365ba16 230 res = func.predux(packet_res0);
ykuroda 0:13a5d365ba16 231
ykuroda 0:13a5d365ba16 232 for(Index index = 0; index < alignedStart; ++index)
ykuroda 0:13a5d365ba16 233 res = func(res,mat.coeff(index));
ykuroda 0:13a5d365ba16 234
ykuroda 0:13a5d365ba16 235 for(Index index = alignedEnd; index < size; ++index)
ykuroda 0:13a5d365ba16 236 res = func(res,mat.coeff(index));
ykuroda 0:13a5d365ba16 237 }
ykuroda 0:13a5d365ba16 238 else // too small to vectorize anything.
ykuroda 0:13a5d365ba16 239 // since this is dynamic-size hence inefficient anyway for such small sizes, don't try to optimize.
ykuroda 0:13a5d365ba16 240 {
ykuroda 0:13a5d365ba16 241 res = mat.coeff(0);
ykuroda 0:13a5d365ba16 242 for(Index index = 1; index < size; ++index)
ykuroda 0:13a5d365ba16 243 res = func(res,mat.coeff(index));
ykuroda 0:13a5d365ba16 244 }
ykuroda 0:13a5d365ba16 245
ykuroda 0:13a5d365ba16 246 return res;
ykuroda 0:13a5d365ba16 247 }
ykuroda 0:13a5d365ba16 248 };
ykuroda 0:13a5d365ba16 249
ykuroda 0:13a5d365ba16 250 // NOTE: for SliceVectorizedTraversal we simply bypass unrolling
ykuroda 0:13a5d365ba16 251 template<typename Func, typename Derived, int Unrolling>
ykuroda 0:13a5d365ba16 252 struct redux_impl<Func, Derived, SliceVectorizedTraversal, Unrolling>
ykuroda 0:13a5d365ba16 253 {
ykuroda 0:13a5d365ba16 254 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 255 typedef typename packet_traits<Scalar>::type PacketScalar;
ykuroda 0:13a5d365ba16 256 typedef typename Derived::Index Index;
ykuroda 0:13a5d365ba16 257
ykuroda 0:13a5d365ba16 258 static Scalar run(const Derived& mat, const Func& func)
ykuroda 0:13a5d365ba16 259 {
ykuroda 0:13a5d365ba16 260 eigen_assert(mat.rows()>0 && mat.cols()>0 && "you are using an empty matrix");
ykuroda 0:13a5d365ba16 261 const Index innerSize = mat.innerSize();
ykuroda 0:13a5d365ba16 262 const Index outerSize = mat.outerSize();
ykuroda 0:13a5d365ba16 263 enum {
ykuroda 0:13a5d365ba16 264 packetSize = packet_traits<Scalar>::size
ykuroda 0:13a5d365ba16 265 };
ykuroda 0:13a5d365ba16 266 const Index packetedInnerSize = ((innerSize)/packetSize)*packetSize;
ykuroda 0:13a5d365ba16 267 Scalar res;
ykuroda 0:13a5d365ba16 268 if(packetedInnerSize)
ykuroda 0:13a5d365ba16 269 {
ykuroda 0:13a5d365ba16 270 PacketScalar packet_res = mat.template packet<Unaligned>(0,0);
ykuroda 0:13a5d365ba16 271 for(Index j=0; j<outerSize; ++j)
ykuroda 0:13a5d365ba16 272 for(Index i=(j==0?packetSize:0); i<packetedInnerSize; i+=Index(packetSize))
ykuroda 0:13a5d365ba16 273 packet_res = func.packetOp(packet_res, mat.template packetByOuterInner<Unaligned>(j,i));
ykuroda 0:13a5d365ba16 274
ykuroda 0:13a5d365ba16 275 res = func.predux(packet_res);
ykuroda 0:13a5d365ba16 276 for(Index j=0; j<outerSize; ++j)
ykuroda 0:13a5d365ba16 277 for(Index i=packetedInnerSize; i<innerSize; ++i)
ykuroda 0:13a5d365ba16 278 res = func(res, mat.coeffByOuterInner(j,i));
ykuroda 0:13a5d365ba16 279 }
ykuroda 0:13a5d365ba16 280 else // too small to vectorize anything.
ykuroda 0:13a5d365ba16 281 // since this is dynamic-size hence inefficient anyway for such small sizes, don't try to optimize.
ykuroda 0:13a5d365ba16 282 {
ykuroda 0:13a5d365ba16 283 res = redux_impl<Func, Derived, DefaultTraversal, NoUnrolling>::run(mat, func);
ykuroda 0:13a5d365ba16 284 }
ykuroda 0:13a5d365ba16 285
ykuroda 0:13a5d365ba16 286 return res;
ykuroda 0:13a5d365ba16 287 }
ykuroda 0:13a5d365ba16 288 };
ykuroda 0:13a5d365ba16 289
ykuroda 0:13a5d365ba16 290 template<typename Func, typename Derived>
ykuroda 0:13a5d365ba16 291 struct redux_impl<Func, Derived, LinearVectorizedTraversal, CompleteUnrolling>
ykuroda 0:13a5d365ba16 292 {
ykuroda 0:13a5d365ba16 293 typedef typename Derived::Scalar Scalar;
ykuroda 0:13a5d365ba16 294 typedef typename packet_traits<Scalar>::type PacketScalar;
ykuroda 0:13a5d365ba16 295 enum {
ykuroda 0:13a5d365ba16 296 PacketSize = packet_traits<Scalar>::size,
ykuroda 0:13a5d365ba16 297 Size = Derived::SizeAtCompileTime,
ykuroda 0:13a5d365ba16 298 VectorizedSize = (Size / PacketSize) * PacketSize
ykuroda 0:13a5d365ba16 299 };
ykuroda 0:13a5d365ba16 300 static EIGEN_STRONG_INLINE Scalar run(const Derived& mat, const Func& func)
ykuroda 0:13a5d365ba16 301 {
ykuroda 0:13a5d365ba16 302 eigen_assert(mat.rows()>0 && mat.cols()>0 && "you are using an empty matrix");
ykuroda 0:13a5d365ba16 303 Scalar res = func.predux(redux_vec_unroller<Func, Derived, 0, Size / PacketSize>::run(mat,func));
ykuroda 0:13a5d365ba16 304 if (VectorizedSize != Size)
ykuroda 0:13a5d365ba16 305 res = func(res,redux_novec_unroller<Func, Derived, VectorizedSize, Size-VectorizedSize>::run(mat,func));
ykuroda 0:13a5d365ba16 306 return res;
ykuroda 0:13a5d365ba16 307 }
ykuroda 0:13a5d365ba16 308 };
ykuroda 0:13a5d365ba16 309
ykuroda 0:13a5d365ba16 310 } // end namespace internal
ykuroda 0:13a5d365ba16 311
ykuroda 0:13a5d365ba16 312 /***************************************************************************
ykuroda 0:13a5d365ba16 313 * Part 4 : public API
ykuroda 0:13a5d365ba16 314 ***************************************************************************/
ykuroda 0:13a5d365ba16 315
ykuroda 0:13a5d365ba16 316
ykuroda 0:13a5d365ba16 317 /** \returns the result of a full redux operation on the whole matrix or vector using \a func
ykuroda 0:13a5d365ba16 318 *
ykuroda 0:13a5d365ba16 319 * The template parameter \a BinaryOp is the type of the functor \a func which must be
ykuroda 0:13a5d365ba16 320 * an associative operator. Both current STL and TR1 functor styles are handled.
ykuroda 0:13a5d365ba16 321 *
ykuroda 0:13a5d365ba16 322 * \sa DenseBase::sum(), DenseBase::minCoeff(), DenseBase::maxCoeff(), MatrixBase::colwise(), MatrixBase::rowwise()
ykuroda 0:13a5d365ba16 323 */
ykuroda 0:13a5d365ba16 324 template<typename Derived>
ykuroda 0:13a5d365ba16 325 template<typename Func>
ykuroda 0:13a5d365ba16 326 EIGEN_STRONG_INLINE typename internal::result_of<Func(typename internal::traits<Derived>::Scalar)>::type
ykuroda 0:13a5d365ba16 327 DenseBase<Derived>::redux(const Func& func) const
ykuroda 0:13a5d365ba16 328 {
ykuroda 0:13a5d365ba16 329 typedef typename internal::remove_all<typename Derived::Nested>::type ThisNested;
ykuroda 0:13a5d365ba16 330 return internal::redux_impl<Func, ThisNested>
ykuroda 0:13a5d365ba16 331 ::run(derived(), func);
ykuroda 0:13a5d365ba16 332 }
ykuroda 0:13a5d365ba16 333
ykuroda 0:13a5d365ba16 334 /** \returns the minimum of all coefficients of \c *this.
ykuroda 0:13a5d365ba16 335 * \warning the result is undefined if \c *this contains NaN.
ykuroda 0:13a5d365ba16 336 */
ykuroda 0:13a5d365ba16 337 template<typename Derived>
ykuroda 0:13a5d365ba16 338 EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
ykuroda 0:13a5d365ba16 339 DenseBase<Derived>::minCoeff() const
ykuroda 0:13a5d365ba16 340 {
ykuroda 0:13a5d365ba16 341 return this->redux(Eigen::internal::scalar_min_op<Scalar>());
ykuroda 0:13a5d365ba16 342 }
ykuroda 0:13a5d365ba16 343
ykuroda 0:13a5d365ba16 344 /** \returns the maximum of all coefficients of \c *this.
ykuroda 0:13a5d365ba16 345 * \warning the result is undefined if \c *this contains NaN.
ykuroda 0:13a5d365ba16 346 */
ykuroda 0:13a5d365ba16 347 template<typename Derived>
ykuroda 0:13a5d365ba16 348 EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
ykuroda 0:13a5d365ba16 349 DenseBase<Derived>::maxCoeff() const
ykuroda 0:13a5d365ba16 350 {
ykuroda 0:13a5d365ba16 351 return this->redux(Eigen::internal::scalar_max_op<Scalar>());
ykuroda 0:13a5d365ba16 352 }
ykuroda 0:13a5d365ba16 353
ykuroda 0:13a5d365ba16 354 /** \returns the sum of all coefficients of *this
ykuroda 0:13a5d365ba16 355 *
ykuroda 0:13a5d365ba16 356 * \sa trace(), prod(), mean()
ykuroda 0:13a5d365ba16 357 */
ykuroda 0:13a5d365ba16 358 template<typename Derived>
ykuroda 0:13a5d365ba16 359 EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
ykuroda 0:13a5d365ba16 360 DenseBase<Derived>::sum() const
ykuroda 0:13a5d365ba16 361 {
ykuroda 0:13a5d365ba16 362 if(SizeAtCompileTime==0 || (SizeAtCompileTime==Dynamic && size()==0))
ykuroda 0:13a5d365ba16 363 return Scalar(0);
ykuroda 0:13a5d365ba16 364 return this->redux(Eigen::internal::scalar_sum_op<Scalar>());
ykuroda 0:13a5d365ba16 365 }
ykuroda 0:13a5d365ba16 366
ykuroda 0:13a5d365ba16 367 /** \returns the mean of all coefficients of *this
ykuroda 0:13a5d365ba16 368 *
ykuroda 0:13a5d365ba16 369 * \sa trace(), prod(), sum()
ykuroda 0:13a5d365ba16 370 */
ykuroda 0:13a5d365ba16 371 template<typename Derived>
ykuroda 0:13a5d365ba16 372 EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
ykuroda 0:13a5d365ba16 373 DenseBase<Derived>::mean() const
ykuroda 0:13a5d365ba16 374 {
ykuroda 0:13a5d365ba16 375 return Scalar(this->redux(Eigen::internal::scalar_sum_op<Scalar>())) / Scalar(this->size());
ykuroda 0:13a5d365ba16 376 }
ykuroda 0:13a5d365ba16 377
ykuroda 0:13a5d365ba16 378 /** \returns the product of all coefficients of *this
ykuroda 0:13a5d365ba16 379 *
ykuroda 0:13a5d365ba16 380 * Example: \include MatrixBase_prod.cpp
ykuroda 0:13a5d365ba16 381 * Output: \verbinclude MatrixBase_prod.out
ykuroda 0:13a5d365ba16 382 *
ykuroda 0:13a5d365ba16 383 * \sa sum(), mean(), trace()
ykuroda 0:13a5d365ba16 384 */
ykuroda 0:13a5d365ba16 385 template<typename Derived>
ykuroda 0:13a5d365ba16 386 EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
ykuroda 0:13a5d365ba16 387 DenseBase<Derived>::prod() const
ykuroda 0:13a5d365ba16 388 {
ykuroda 0:13a5d365ba16 389 if(SizeAtCompileTime==0 || (SizeAtCompileTime==Dynamic && size()==0))
ykuroda 0:13a5d365ba16 390 return Scalar(1);
ykuroda 0:13a5d365ba16 391 return this->redux(Eigen::internal::scalar_product_op<Scalar>());
ykuroda 0:13a5d365ba16 392 }
ykuroda 0:13a5d365ba16 393
ykuroda 0:13a5d365ba16 394 /** \returns the trace of \c *this, i.e. the sum of the coefficients on the main diagonal.
ykuroda 0:13a5d365ba16 395 *
ykuroda 0:13a5d365ba16 396 * \c *this can be any matrix, not necessarily square.
ykuroda 0:13a5d365ba16 397 *
ykuroda 0:13a5d365ba16 398 * \sa diagonal(), sum()
ykuroda 0:13a5d365ba16 399 */
ykuroda 0:13a5d365ba16 400 template<typename Derived>
ykuroda 0:13a5d365ba16 401 EIGEN_STRONG_INLINE typename internal::traits<Derived>::Scalar
ykuroda 0:13a5d365ba16 402 MatrixBase<Derived>::trace() const
ykuroda 0:13a5d365ba16 403 {
ykuroda 0:13a5d365ba16 404 return derived().diagonal().sum();
ykuroda 0:13a5d365ba16 405 }
ykuroda 0:13a5d365ba16 406
ykuroda 0:13a5d365ba16 407 } // end namespace Eigen
ykuroda 0:13a5d365ba16 408
ykuroda 0:13a5d365ba16 409 #endif // EIGEN_REDUX_H