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eigen/test/packetmath.cpp

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
//
// 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/.
#include "main.h"
// using namespace Eigen;
namespace Eigen {
namespace internal {
template<typename T> T negate(const T& x) { return -x; }
}
}
template<typename Scalar> bool isApproxAbs(const Scalar& a, const Scalar& b, const typename NumTraits<Scalar>::Real& refvalue)
{
return internal::isMuchSmallerThan(a-b, refvalue);
}
template<typename Scalar> bool areApproxAbs(const Scalar* a, const Scalar* b, int size, const typename NumTraits<Scalar>::Real& refvalue)
{
for (int i=0; i<size; ++i)
{
if (!isApproxAbs(a[i],b[i],refvalue))
{
std::cout << "[" << Map<const Matrix<Scalar,1,Dynamic> >(a,size) << "]" << " != " << Map<const Matrix<Scalar,1,Dynamic> >(b,size) << "\n";
return false;
}
}
return true;
}
template<typename Scalar> bool areApprox(const Scalar* a, const Scalar* b, int size)
{
for (int i=0; i<size; ++i)
{
if (a[i]!=b[i] && !internal::isApprox(a[i],b[i]))
{
std::cout << "[" << Map<const Matrix<Scalar,1,Dynamic> >(a,size) << "]" << " != " << Map<const Matrix<Scalar,1,Dynamic> >(b,size) << "\n";
return false;
}
}
return true;
}
#define CHECK_CWISE2(REFOP, POP) { \
for (int i=0; i<PacketSize; ++i) \
ref[i] = REFOP(data1[i], data1[i+PacketSize]); \
internal::pstore(data2, POP(internal::pload<Packet>(data1), internal::pload<Packet>(data1+PacketSize))); \
VERIFY(areApprox(ref, data2, PacketSize) && #POP); \
}
#define CHECK_CWISE1(REFOP, POP) { \
for (int i=0; i<PacketSize; ++i) \
ref[i] = REFOP(data1[i]); \
internal::pstore(data2, POP(internal::pload<Packet>(data1))); \
VERIFY(areApprox(ref, data2, PacketSize) && #POP); \
}
template<bool Cond,typename Packet>
struct packet_helper
{
template<typename T>
inline Packet load(const T* from) const { return internal::pload<Packet>(from); }
template<typename T>
inline void store(T* to, const Packet& x) const { internal::pstore(to,x); }
};
template<typename Packet>
struct packet_helper<false,Packet>
{
template<typename T>
inline T load(const T* from) const { return *from; }
template<typename T>
inline void store(T* to, const T& x) const { *to = x; }
};
#define CHECK_CWISE1_IF(COND, REFOP, POP) if(COND) { \
packet_helper<COND,Packet> h; \
for (int i=0; i<PacketSize; ++i) \
ref[i] = REFOP(data1[i]); \
h.store(data2, POP(h.load(data1))); \
VERIFY(areApprox(ref, data2, PacketSize) && #POP); \
}
#define REF_ADD(a,b) ((a)+(b))
#define REF_SUB(a,b) ((a)-(b))
#define REF_MUL(a,b) ((a)*(b))
#define REF_DIV(a,b) ((a)/(b))
template<typename Scalar> void packetmath()
{
using std::abs;
typedef typename internal::packet_traits<Scalar>::type Packet;
const int PacketSize = internal::packet_traits<Scalar>::size;
typedef typename NumTraits<Scalar>::Real RealScalar;
const int max_size = PacketSize > 4 ? PacketSize : 4;
const int size = PacketSize*max_size;
EIGEN_ALIGN_DEFAULT Scalar data1[size];
EIGEN_ALIGN_DEFAULT Scalar data2[size];
EIGEN_ALIGN_DEFAULT Packet packets[PacketSize*2];
EIGEN_ALIGN_DEFAULT Scalar ref[size];
RealScalar refvalue = 0;
for (int i=0; i<size; ++i)
{
data1[i] = internal::random<Scalar>()/RealScalar(PacketSize);
data2[i] = internal::random<Scalar>()/RealScalar(PacketSize);
refvalue = (std::max)(refvalue,abs(data1[i]));
}
internal::pstore(data2, internal::pload<Packet>(data1));
VERIFY(areApprox(data1, data2, PacketSize) && "aligned load/store");
for (int offset=0; offset<PacketSize; ++offset)
{
internal::pstore(data2, internal::ploadu<Packet>(data1+offset));
VERIFY(areApprox(data1+offset, data2, PacketSize) && "internal::ploadu");
}
for (int offset=0; offset<PacketSize; ++offset)
{
internal::pstoreu(data2+offset, internal::pload<Packet>(data1));
VERIFY(areApprox(data1, data2+offset, PacketSize) && "internal::pstoreu");
}
for (int offset=0; offset<PacketSize; ++offset)
{
packets[0] = internal::pload<Packet>(data1);
packets[1] = internal::pload<Packet>(data1+PacketSize);
if (offset==0) internal::palign<0>(packets[0], packets[1]);
else if (offset==1) internal::palign<1>(packets[0], packets[1]);
else if (offset==2) internal::palign<2>(packets[0], packets[1]);
else if (offset==3) internal::palign<3>(packets[0], packets[1]);
else if (offset==4) internal::palign<4>(packets[0], packets[1]);
else if (offset==5) internal::palign<5>(packets[0], packets[1]);
else if (offset==6) internal::palign<6>(packets[0], packets[1]);
else if (offset==7) internal::palign<7>(packets[0], packets[1]);
internal::pstore(data2, packets[0]);
for (int i=0; i<PacketSize; ++i)
ref[i] = data1[i+offset];
VERIFY(areApprox(ref, data2, PacketSize) && "internal::palign");
}
CHECK_CWISE2(REF_ADD, internal::padd);
CHECK_CWISE2(REF_SUB, internal::psub);
CHECK_CWISE2(REF_MUL, internal::pmul);
#ifndef EIGEN_VECTORIZE_ALTIVEC
if (!internal::is_same<Scalar,int>::value)
CHECK_CWISE2(REF_DIV, internal::pdiv);
#endif
CHECK_CWISE1(internal::negate, internal::pnegate);
CHECK_CWISE1(numext::conj, internal::pconj);
for(int offset=0;offset<3;++offset)
{
for (int i=0; i<PacketSize; ++i)
ref[i] = data1[offset];
internal::pstore(data2, internal::pset1<Packet>(data1[offset]));
VERIFY(areApprox(ref, data2, PacketSize) && "internal::pset1");
}
VERIFY(internal::isApprox(data1[0], internal::pfirst(internal::pload<Packet>(data1))) && "internal::pfirst");
if(PacketSize>1)
{
for(int offset=0;offset<4;++offset)
{
for(int i=0;i<PacketSize/2;++i)
ref[2*i+0] = ref[2*i+1] = data1[offset+i];
internal::pstore(data2,internal::ploaddup<Packet>(data1+offset));
VERIFY(areApprox(ref, data2, PacketSize) && "ploaddup");
}
}
ref[0] = 0;
for (int i=0; i<PacketSize; ++i)
ref[0] += data1[i];
VERIFY(isApproxAbs(ref[0], internal::predux(internal::pload<Packet>(data1)), refvalue) && "internal::predux");
ref[0] = 1;
for (int i=0; i<PacketSize; ++i)
ref[0] *= data1[i];
VERIFY(internal::isApprox(ref[0], internal::predux_mul(internal::pload<Packet>(data1))) && "internal::predux_mul");
for (int j=0; j<PacketSize; ++j)
{
ref[j] = 0;
for (int i=0; i<PacketSize; ++i)
ref[j] += data1[i+j*PacketSize];
packets[j] = internal::pload<Packet>(data1+j*PacketSize);
}
internal::pstore(data2, internal::preduxp(packets));
VERIFY(areApproxAbs(ref, data2, PacketSize, refvalue) && "internal::preduxp");
for (int i=0; i<PacketSize; ++i)
ref[i] = data1[PacketSize-i-1];
internal::pstore(data2, internal::preverse(internal::pload<Packet>(data1)));
VERIFY(areApprox(ref, data2, PacketSize) && "internal::preverse");
internal::Kernel<Packet> kernel;
for (int i=0; i<PacketSize; ++i) {
kernel.packet[i] = internal::pload<Packet>(data1+i*PacketSize);
}
ptranspose(kernel);
for (int i=0; i<PacketSize; ++i) {
internal::pstore(data2, kernel.packet[i]);
for (int j = 0; j < PacketSize; ++j) {
VERIFY(isApproxAbs(data2[j], data1[i+j*PacketSize], refvalue));
}
}
}
template<typename Scalar> void packetmath_real()
{
using std::abs;
typedef typename internal::packet_traits<Scalar>::type Packet;
const int PacketSize = internal::packet_traits<Scalar>::size;
const int size = PacketSize*4;
EIGEN_ALIGN_DEFAULT Scalar data1[internal::packet_traits<Scalar>::size*4];
EIGEN_ALIGN_DEFAULT Scalar data2[internal::packet_traits<Scalar>::size*4];
EIGEN_ALIGN_DEFAULT Scalar ref[internal::packet_traits<Scalar>::size*4];
for (int i=0; i<size; ++i)
{
data1[i] = internal::random<Scalar>(-1,1) * std::pow(Scalar(10), internal::random<Scalar>(-3,3));
data2[i] = internal::random<Scalar>(-1,1) * std::pow(Scalar(10), internal::random<Scalar>(-3,3));
}
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasSin, std::sin, internal::psin);
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasCos, std::cos, internal::pcos);
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasTan, std::tan, internal::ptan);
for (int i=0; i<size; ++i)
{
data1[i] = internal::random<Scalar>(-1,1);
data2[i] = internal::random<Scalar>(-1,1);
}
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasASin, std::asin, internal::pasin);
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasACos, std::acos, internal::pacos);
for (int i=0; i<size; ++i)
{
data1[i] = internal::random<Scalar>(-87,88);
data2[i] = internal::random<Scalar>(-87,88);
}
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasExp, std::exp, internal::pexp);
for (int i=0; i<size; ++i)
{
data1[i] = internal::random<Scalar>(0,1) * std::pow(Scalar(10), internal::random<Scalar>(-6,6));
data2[i] = internal::random<Scalar>(0,1) * std::pow(Scalar(10), internal::random<Scalar>(-6,6));
}
if(internal::random<float>(0,1)<0.1)
data1[internal::random<int>(0, PacketSize)] = 0;
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasLog, std::log, internal::plog);
CHECK_CWISE1_IF(internal::packet_traits<Scalar>::HasSqrt, std::sqrt, internal::psqrt);
}
template<typename Scalar> void packetmath_notcomplex()
{
using std::abs;
typedef typename internal::packet_traits<Scalar>::type Packet;
const int PacketSize = internal::packet_traits<Scalar>::size;
EIGEN_ALIGN_DEFAULT Scalar data1[internal::packet_traits<Scalar>::size*4];
EIGEN_ALIGN_DEFAULT Scalar data2[internal::packet_traits<Scalar>::size*4];
EIGEN_ALIGN_DEFAULT Scalar ref[internal::packet_traits<Scalar>::size*4];
Array<Scalar,Dynamic,1>::Map(data1, internal::packet_traits<Scalar>::size*4).setRandom();
ref[0] = data1[0];
for (int i=0; i<PacketSize; ++i)
ref[0] = (std::min)(ref[0],data1[i]);
VERIFY(internal::isApprox(ref[0], internal::predux_min(internal::pload<Packet>(data1))) && "internal::predux_min");
CHECK_CWISE2((std::min), internal::pmin);
CHECK_CWISE2((std::max), internal::pmax);
CHECK_CWISE1(abs, internal::pabs);
ref[0] = data1[0];
for (int i=0; i<PacketSize; ++i)
ref[0] = (std::max)(ref[0],data1[i]);
VERIFY(internal::isApprox(ref[0], internal::predux_max(internal::pload<Packet>(data1))) && "internal::predux_max");
for (int i=0; i<PacketSize; ++i)
ref[i] = data1[0]+Scalar(i);
internal::pstore(data2, internal::plset(data1[0]));
VERIFY(areApprox(ref, data2, PacketSize) && "internal::plset");
}
template<typename Scalar,bool ConjLhs,bool ConjRhs> void test_conj_helper(Scalar* data1, Scalar* data2, Scalar* ref, Scalar* pval)
{
typedef typename internal::packet_traits<Scalar>::type Packet;
const int PacketSize = internal::packet_traits<Scalar>::size;
internal::conj_if<ConjLhs> cj0;
internal::conj_if<ConjRhs> cj1;
internal::conj_helper<Scalar,Scalar,ConjLhs,ConjRhs> cj;
internal::conj_helper<Packet,Packet,ConjLhs,ConjRhs> pcj;
for(int i=0;i<PacketSize;++i)
{
ref[i] = cj0(data1[i]) * cj1(data2[i]);
VERIFY(internal::isApprox(ref[i], cj.pmul(data1[i],data2[i])) && "conj_helper pmul");
}
internal::pstore(pval,pcj.pmul(internal::pload<Packet>(data1),internal::pload<Packet>(data2)));
VERIFY(areApprox(ref, pval, PacketSize) && "conj_helper pmul");
for(int i=0;i<PacketSize;++i)
{
Scalar tmp = ref[i];
ref[i] += cj0(data1[i]) * cj1(data2[i]);
VERIFY(internal::isApprox(ref[i], cj.pmadd(data1[i],data2[i],tmp)) && "conj_helper pmadd");
}
internal::pstore(pval,pcj.pmadd(internal::pload<Packet>(data1),internal::pload<Packet>(data2),internal::pload<Packet>(pval)));
VERIFY(areApprox(ref, pval, PacketSize) && "conj_helper pmadd");
}
template<typename Scalar> void packetmath_complex()
{
typedef typename internal::packet_traits<Scalar>::type Packet;
const int PacketSize = internal::packet_traits<Scalar>::size;
const int size = PacketSize*4;
EIGEN_ALIGN_DEFAULT Scalar data1[PacketSize*4];
EIGEN_ALIGN_DEFAULT Scalar data2[PacketSize*4];
EIGEN_ALIGN_DEFAULT Scalar ref[PacketSize*4];
EIGEN_ALIGN_DEFAULT Scalar pval[PacketSize*4];
for (int i=0; i<size; ++i)
{
data1[i] = internal::random<Scalar>() * Scalar(1e2);
data2[i] = internal::random<Scalar>() * Scalar(1e2);
}
test_conj_helper<Scalar,false,false> (data1,data2,ref,pval);
test_conj_helper<Scalar,false,true> (data1,data2,ref,pval);
test_conj_helper<Scalar,true,false> (data1,data2,ref,pval);
test_conj_helper<Scalar,true,true> (data1,data2,ref,pval);
{
for(int i=0;i<PacketSize;++i)
ref[i] = Scalar(std::imag(data1[i]),std::real(data1[i]));
internal::pstore(pval,internal::pcplxflip(internal::pload<Packet>(data1)));
VERIFY(areApprox(ref, pval, PacketSize) && "pcplxflip");
}
}
void test_packetmath()
{
for(int i = 0; i < g_repeat; i++) {
CALL_SUBTEST_1( packetmath<float>() );
CALL_SUBTEST_2( packetmath<double>() );
CALL_SUBTEST_3( packetmath<int>() );
CALL_SUBTEST_1( packetmath<std::complex<float> >() );
CALL_SUBTEST_2( packetmath<std::complex<double> >() );
CALL_SUBTEST_1( packetmath_notcomplex<float>() );
CALL_SUBTEST_2( packetmath_notcomplex<double>() );
CALL_SUBTEST_3( packetmath_notcomplex<int>() );
CALL_SUBTEST_1( packetmath_real<float>() );
CALL_SUBTEST_2( packetmath_real<double>() );
CALL_SUBTEST_1( packetmath_complex<std::complex<float> >() );
CALL_SUBTEST_2( packetmath_complex<std::complex<double> >() );
}
}
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