42#ifndef THYRA_VECTOR_STD_OPS_TESTER_HPP
43#define THYRA_VECTOR_STD_OPS_TESTER_HPP
45#include "Thyra_VectorStdOpsTester_decl.hpp"
46#include "Thyra_TestingTools.hpp"
47#include "RTOpPack_TOpSetAssendingValues.hpp"
49#include "Teuchos_Assert.hpp"
53#ifdef THYRA_VECTOR_STD_OPS_TESTER_DUMP
54# include "RTOpPack_SPMD_apply_op.hpp"
64template <
bool isComparable,
class Scalar>
65class VectorStdOpsTesterComparable {
67 static bool checkComparableStdOps(
68 const VectorSpaceBase<Scalar> &vecSpc,
69 const Ptr<VectorBase<Scalar> > &z,
72 const Ptr<std::ostream> &out,
76 return Teuchos::ScalarTraits<Scalar>::ThisShouldNotCompile();
81template <
class Scalar>
82class VectorStdOpsTesterComparable<false,Scalar> {
84 static bool checkComparableStdOps(
85 const VectorSpaceBase<Scalar> &vecSpc,
86 const Ptr<VectorBase<Scalar> > &z,
89 const Ptr<std::ostream> &out,
94 <<
"\nThis scalar type does not support comparable operations so"
95 <<
" we can not test min(), max() and other such functions.\n";
101template <
class Scalar>
102class VectorStdOpsTesterComparable<true,Scalar> {
104 static bool checkComparableStdOps(
105 const VectorSpaceBase<Scalar> &vecSpc,
106 const Ptr<VectorBase<Scalar> > &z,
109 const Ptr<std::ostream> &out,
113 typedef Teuchos::ScalarTraits<Scalar> ST;
114 using Teuchos::outArg;
116 bool success =
true, result;
118 if (
nonnull(out)) *out <<
"\nTesting comparable operations ...\n";
120 const Scalar scalarSmall(1e-5), scalarMedium(2.0), scalarLarge(100.0);
121 if (
nonnull(out)) *out <<
"\nassign(z.ptr(),"<<scalarMedium<<
");\n";
122 assign(z.ptr(),Scalar(scalarMedium));
123 if(
nonnull(out) && dumpAll) *out <<
"\nz =\n" << *z;
124 if (
nonnull(out)) *out <<
"\nset_ele(0,"<<scalarSmall<<
",z.ptr());\n";
125 set_ele(0,scalarSmall,z.ptr());
126 if(
nonnull(out) && dumpAll) *out <<
"\nz =\n" << *z;
127 if (
nonnull(out)) *out <<
"\nset_ele(1,"<<scalarLarge<<
",z.ptr());\n";
128 set_ele(1,scalarLarge,z.ptr());
129 if(
nonnull(out) && dumpAll) *out <<
"\nz =\n" << *z;
130 if (
nonnull(out)) *out <<
"\nset_ele(vecSpc.dim()-2,"<<scalarSmall<<
",z.ptr());\n";
131 set_ele(vecSpc.dim()-2,scalarSmall,z.ptr());
132 if(
nonnull(out) && dumpAll) *out <<
"\nz =\n" << *z;
133 if (
nonnull(out)) *out <<
"\nset_ele(vecSpc.dim()-1,"<<scalarLarge<<
",z.ptr());\n";
134 set_ele(vecSpc.dim()-1,scalarLarge,z.ptr());
135 if(
nonnull(out) && dumpAll) *out <<
"\nz =\n" << *z;
137 Scalar minEle;
Ordinal minIndex;
138 Scalar maxEle;
Ordinal maxIndex;
140 if(!Teuchos::testRelErr<Scalar>(
141 "min(*z)",
min(*z),
"scalarSmall",scalarSmall
142 ,
"error_tol",error_tol,
"warning_tol",warning_tol,out
146 if (
nonnull(out)) *out <<
"\nmin(*z,&minEle,&minIndex);\n";
147 minEle = ST::zero(); minIndex = 0;
148 min(*z, outArg(minEle), outArg(minIndex));
149 if(!Teuchos::testRelErr<Scalar>(
150 "minEle",minEle,
"scalarSmall",scalarSmall
151 ,
"error_tol",error_tol,
"warning_tol",warning_tol, out
154 result = minIndex == 0;
155 if (
nonnull(out)) *out <<
"\nminIndex = " << minIndex <<
" == 0 ? " <<
passfail(result) << std::endl;
156 if(!result) success =
false;
158 if (
nonnull(out)) *out <<
"\nminGreaterThanBound(*z,"<<scalarMedium<<
",&minEle,&minIndex);\n";
159 minEle = ST::zero(); minIndex = 0;
161 if(!Teuchos::testRelErr<Scalar>(
162 "minEle",minEle,
"scalarLarge",scalarLarge
163 ,
"error_tol",error_tol,
"warning_tol",warning_tol,out
166 result = minIndex == 1;
167 if (
nonnull(out)) *out <<
"\nminIndex = " << minIndex <<
" == 1 ? " <<
passfail(result) << std::endl;
168 if(!result) success =
false;
170 if (
nonnull(out)) *out <<
"\nminGreaterThanBound(*z,"<<scalarLarge<<
",&minEle,&minIndex);\n";
171 minEle = ST::zero(); minIndex = 0;
173 result = minIndex < 0;
174 if (
nonnull(out)) *out <<
"\nminIndex = " << minIndex <<
" < 0 ? " <<
passfail(result) << std::endl;
175 if(!result) success =
false;
177 if(!Teuchos::testRelErr<Scalar>(
178 "max(*z)",
max(*z),
"scalarLarge",scalarLarge
179 ,
"error_tol",error_tol,
"warning_tol",warning_tol,out)
182 if (
nonnull(out)) *out <<
"\nmax(*z,&maxEle,&maxIndex);\n";
183 maxEle = ST::zero(); maxIndex = 0;
184 max(*z, outArg(maxEle), outArg(maxIndex));
185 if(!Teuchos::testRelErr<Scalar>(
186 "maxEle",maxEle,
"scalarLarge",scalarLarge
187 ,
"error_tol",error_tol,
"warning_tol",warning_tol,out)
189 result = maxIndex == 1;
190 if (
nonnull(out)) *out <<
"\nmaxIndex = " << maxIndex <<
" == 1 ? " <<
passfail(result) << std::endl;
191 if(!result) success =
false;
193 if (
nonnull(out)) *out <<
"\nmaxLessThanBound(*z,"<<scalarMedium<<
",&maxEle,&maxIndex);\n";
194 maxEle = ST::zero(); maxIndex = 0;
196 if(!Teuchos::testRelErr<Scalar>(
197 "maxEle",maxEle,
"scalarSmall",scalarSmall
198 ,
"error_tol",error_tol,
"warning_tol",warning_tol,out)
200 result = maxIndex == 0;
201 if (
nonnull(out)) *out <<
"\nmaxIndex = " << maxIndex <<
" == 0 ? " <<
passfail(result) << std::endl;
202 if(!result) success =
false;
204 if (
nonnull(out)) *out <<
"\nmaxLessThanBound(*z,"<<scalarSmall<<
",&maxEle,&maxIndex);\n";
205 maxEle = ST::zero(); maxIndex = 0;
207 result = ( maxIndex < 0 );
208 if (
nonnull(out)) *out <<
"\nmaxIndex = " << maxIndex <<
" < 0 ? " <<
passfail(result) << std::endl;
209 if(!result) success =
false;
213 if (
nonnull(out)) *out <<
"\nTesting pair_wise_max(*v1, *v2, z0.ptr()) ...\n";
216 using Teuchos::tuple;
218 using Teuchos::outArg;
219 using Teuchos::inOutArg;
220 Teuchos::RCP<VectorBase<Scalar> > v1 =
createMember(vecSpc);
221 Teuchos::RCP<VectorBase<Scalar> > v2 =
createMember(vecSpc);
222 Teuchos::RCP<VectorBase<Scalar> > v3 =
createMember(vecSpc);
223 Teuchos::RCP<VectorBase<Scalar> > z0 =
createMember(vecSpc);
224 const Scalar alpha = as<Scalar>(2.0);
225 seed_randomize<Scalar>(12345);
233 Vp_V(v1.
ptr(), *v2, as<Scalar>(-ST::one()));
238 Vp_V(z0.
ptr(), *v3, as<Scalar>(-ST::one()));
241 ,
"error_tol",error_tol,
"warning_tol",warning_tol,out.get()
254template<
class Scalar>
256 std::ostream &out,
bool &success)
259 out <<
"\n"<<tc<<
") set_ele(z, "<<i<<
");\n";
263 const Scalar val_i = as<Scalar>(i+1);
275template <
class Scalar>
280 :warning_tol_(warning_tol_in),
281 error_tol_(error_tol_in)
285template <
class Scalar>
288 std::ostream *out_out,
293 using Teuchos::tuple;
295 using Teuchos::outArg;
296 using Teuchos::inOutArg;
300 std::ostream &out = *out_out;
302 out <<
"\n*** Entering VectorStdOpsTester<"<<ST::name()<<
">::checkStdOps(...) ...\n"
303 <<
"using a \'" << vecSpc.
description() <<
"\' object ...\n";
306 out <<
"\nvecSpc.dim() = " << vecSpc.
dim() << std::endl;
311 "Error: n = "<<n<<
" must be least 4 or greater to"
312 " run Thyra::VectorStdOpsTester::checkStdOps(...)!" );
315 two = as<Scalar>(2.0),
316 three = as<Scalar>(3.0),
317 four = as<Scalar>(4.0);
321 out <<
"\nCreating vectors v1, v2, v3, v4, x and z ...\n";
331 out <<
"\nassign(v1.ptr(), -2.0);\n";
333 out <<
"\nassign(v2.ptr(), -3.0);\n";
335 out <<
"\nassign(v3.ptr(), -4.0);\n";
337 out <<
"\ny[i] = i+1\n";
347 out <<
"\n"<<tc<<
") sum(*y);\n";
350 Teuchos::testRelErr<Scalar>(
352 "0.5*(n+1)*n", as<Scalar>(0.5*(n+1)*n),
353 "error_tol", error_tol(),
"warning_tol", warning_tol(), inOutArg(out)),
357 out <<
"\n"<<tc<<
") nom_inf(*v1);\n";
360 Teuchos::testRelErr<Scalar>(
363 "error_tol", error_tol(),
"warning_tol", warning_tol(), inOutArg(out)),
367 out <<
"\n"<<tc<<
") norm_2(*v1);\n";
370 Teuchos::testRelErr<Scalar>(
371 "norm_2(*v1)",
norm_2(*v1),
372 "2.0*sqrt(vecSpc.dim())", as<Scalar>(2.0)*ST::squareroot(vecSpc.
dim()),
373 "error_tol", error_tol(),
"warning_tol",warning_tol(), inOutArg(out)),
377 out <<
"\n"<<tc<<
") norm_1(*v1);\n";
380 Teuchos::testRelErr<Scalar>(
381 "norm_1(*v1)" ,
norm_1(*v1),
382 "2.0*vecSpc.dim()", as<Scalar>(2.0)*as<Scalar>(vecSpc.
dim()),
383 "error_tol", error_tol(),
"warning_tol", warning_tol(), inOutArg(out)),
387 out <<
"\n"<<tc<<
") abs(z.ptr(),*v1);\n";
391 if(!Teuchos::testRelErr<Scalar>(
392 "sum(*z)",
sum(*z),
"2.0*vecSpc.dim()", as<Scalar>(2.0)*as<Scalar>(vecSpc.
dim()),
393 "error_tol", error_tol(),
"warning_tol", warning_tol(), inOutArg(out))
399 out <<
"\n"<<tc<<
") val = get_ele(y, 0);\n";
406 out <<
"\n"<<tc<<
") val = get_ele<Scalar>(*y, 1);\n";
413 out <<
"\n"<<tc<<
") val = get_ele<Scalar>(*y, n-2);\n";
420 out <<
"\n"<<tc<<
") val = get_ele<Scalar>(*y, n-1);\n";
429 out <<
"\n"<<tc<<
") get_ele<Scalar>(*y, -1);\n";
435 out <<
"\n"<<tc<<
") get_ele<Scalar>(*y, n);\n";
445 setEleTestCase<Scalar>(z.ptr(), 0, tc, out, success);
447 setEleTestCase<Scalar>(z.ptr(), 1, tc, out, success);
449 setEleTestCase<Scalar>(z.ptr(), n-2, tc, out, success);
451 setEleTestCase<Scalar>(z.ptr(), n-1, tc, out, success);
456 std::out_of_range, out, success);
459 std::out_of_range, out, success);
464 out <<
"\n"<<tc<<
") reciprocal(z.ptr(),*v1);\n";
468 if(!Teuchos::testRelErr<Scalar>(
469 "sum(*z)",
sum(*z),
"-0.5*vecSpc.dim()",as<Scalar>(-0.5)*as<Scalar>(vecSpc.
dim())
470 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),inOutArg(out))
476 out <<
"\n"<<tc<<
") linear_combination(2,{0.5,0.25},{v1.ptr(),v2.ptr()},0.0,z.ptr());\n";
480 tuple<Scalar>(0.5, 0.25)(),
485 Teuchos::testRelErr<Scalar>(
487 "(-0.5*2.0-0.25*3.0)*vecSpc.dim()", as<Scalar>((-0.5 * 2.0 - 0.25 * 3.0) *vecSpc.
dim()),
488 "error_tol", error_tol(),
"warning_tol", warning_tol(), inOutArg(out)),
492 out <<
"\nassign(z.ptr(), 2.0);\n";
494 assign(z.ptr(), as<Scalar>(2.0));
496 out <<
"\n"<<tc<<
") linear_combination(3,{0.5,0.25,0.125},{v1.ptr(),v2.ptr(),v2.ptr()},0.5,z.ptr());\n";
500 tuple<Scalar>(0.5, 0.25, 0.125)(),
504 if(!Teuchos::testRelErr<Scalar>(
506 "(0.5*2.0-0.5*2.0-0.25*3.0-0.125*4.0)*vecSpc.dim()",
507 as<Scalar>(0.5*2.0-0.5*2.0-0.25*3.0-0.125*4.0)*as<Scalar>(vecSpc.
dim()),
508 "error_tol", error_tol(),
"warning_tol", warning_tol(), inOutArg(out)
514 out <<
"\n"<<tc<<
") assign(z.ptr(),2.0);\n";
517 assign(z.ptr(),as<Scalar>(2.0));
518 if(!Teuchos::testRelErr<Scalar>(
519 "norm_2(*z,*v2)",
norm_2(*z,*v2)
520 ,
"sqrt(2.0*3.0*3.0*vecSpc.dim())",ST::magnitude(ST::squareroot(as<Scalar>(2.0*3.0*3.0)*as<Scalar>(vecSpc.
dim())))
521 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),inOutArg(out)
525 if(!VectorStdOpsTesterComparable<ST::isComparable,Scalar>::checkComparableStdOps(
526 vecSpc,z.ptr(),error_tol(),warning_tol(),inOutArg(out),dumpAll)
531 out <<
"\n"<<tc<<
") Testing Vt_S(z.ptr(),alpha) ...\n";
534#ifdef THYRA_VECTOR_STD_OPS_TESTER_DUMP
535 RTOpPack::show_spmd_apply_op_dump =
true;
539 const Scalar alpha = as<Scalar>(1.2345);
544 const Scalar norm_alpha_v1 =
norm_2(*v1);
546 const Scalar mag_alpha = ST::magnitude(alpha);
548 const Scalar norm_2_v2 =
norm_2(*v2);
550 const Scalar alpha_norm_v1 = mag_alpha * norm_2_v2;
553 "norm_alpha_v1 - alpha_norm_v1",ST::magnitude(norm_alpha_v1-alpha_norm_v1)
554 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
557#ifdef THYRA_VECTOR_STD_OPS_TESTER_DUMP
558 RTOpPack::show_spmd_apply_op_dump =
false;
563 out <<
"\n"<<tc<<
") Testing V_StV(z.ptr(),alpha,*v) ...\n";
569 const Scalar alpha = as<Scalar>(-1.2345);
575 Vp_V(z.ptr(),*v2,as<Scalar>(-ST::one()));
578 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
584 out <<
"\n"<<tc<<
") Testing Vp_StV(z.ptr(),alpha,*v) ...\n";
591 const Scalar alpha = as<Scalar>(-1.2345);
597 V_StV(z.ptr(),alpha,*v2);
600 Vp_V(v3.
ptr(),*z,as<Scalar>(-ST::one()));
603 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
609 out <<
"\n"<<tc<<
") Testing ele_wise_prod(alpha,*v1, *v2, z.ptr()) ...\n";
616 const Scalar alpha = as<Scalar>(-1.2345);
627 Vp_V(v2.
ptr(), *z, as<Scalar>(-ST::one()));
630 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
637 out <<
"\n"<<tc<<
") Testing ele_wise_scale(*v1, z.ptr()) ...\n";
642 V_S(v1.
ptr(), as<Scalar>(2.0));
643 V_S(z.ptr(), as<Scalar>(3.0));
645 if (!Teuchos::testRelErr<Scalar>(
647 "ST::squareroot(n*sqr(3.0*2.0))", ST::squareroot(n*36.0),
648 "error_tol", error_tol(),
649 "warning_tol", warning_tol(),
656 out <<
"\n"<<tc<<
") Testing Vt_StV(z.ptr(), alpha, *v) ...\n";
663 const Scalar alpha = as<Scalar>(-1.2345);
669 V_S(z.ptr(),ST::zero());
672 Vp_V(v2.
ptr(),*z,as<Scalar>(-ST::one()));
675 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
681 out <<
"\n"<<tc<<
") Testing V_StVpV(z.ptr(),alpha,*v1,*v2) ...\n";
689 const Scalar alpha = as<Scalar>(1.2345);
691 randomize(as<Scalar>(as<Scalar>(-10)*ST::one()),as<Scalar>(as<Scalar>(10)*ST::one()),v1.
ptr());
692 randomize(as<Scalar>(as<Scalar>(-10)*ST::one()),as<Scalar>(as<Scalar>(10)*ST::one()),v2.
ptr());
695 Vp_V(z.ptr(),*v2,alpha);
697 Vp_V(x.ptr(),*z,as<Scalar>(-ST::one()));
700 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
706 out <<
"\n"<<tc<<
") Testing V_VpStV(z.ptr(),*v1,alpha,*v2) ...\n";
714 const Scalar alpha = as<Scalar>(1.2345);
717 as<Scalar>(as<Scalar>(10)*ST::one()), v1.
ptr());
719 as<Scalar>(as<Scalar>(10)*ST::one()), v2.
ptr());
720 V_VpStV(outArg(*v3), *v1, alpha, *v2);
722 Vp_StV(z.ptr(), alpha, *v2);
723 V_VmV(outArg(*x), *z, *v3);
726 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
732 out <<
"\n"<<tc<<
") Testing V_StVpStV(z.ptr(),alpha,*v1,beta,*v2) ...\n";
740 const Scalar alpha = as<Scalar>(1.2345);
741 const Scalar beta = as<Scalar>(5.4321);
743 randomize(as<Scalar>(as<Scalar>(-10)*ST::one()),as<Scalar>(as<Scalar>(10)*ST::one()),v1.
ptr());
744 randomize(as<Scalar>(as<Scalar>(-10)*ST::one()),as<Scalar>(as<Scalar>(10)*ST::one()),v2.
ptr());
746 V_StV(z.ptr(),alpha,*v1);
749 Vp_V(x.ptr(),*z,as<Scalar>(-ST::one()));
758 out <<
"\n"<<tc<<
") Testing Vp_V(v1.ptr(),*v2,beta) ...\n";
766 const Scalar alpha = as<Scalar>(-2.0);
767 const Scalar beta = as<Scalar>(10.0);
770 randomize(as<Scalar>(as<Scalar>(-10)*ST::one()),as<Scalar>(as<Scalar>(10)*ST::one()),v2.
ptr());
774 V_StVpV(x.ptr(),as<Scalar>(-ST::one()),*z,*v1);
777 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
783 out <<
"\n"<<tc<<
") Testing Vp_V(v1.ptr(),*v2) ...\n";
791 const Scalar alpha = as<Scalar>(-2.0);
794 randomize(as<Scalar>(as<Scalar>(-10)*ST::one()),as<Scalar>(as<Scalar>(10)*ST::one()),v2.
ptr());
797 V_StVpV(z.ptr(),ST::one(),*v3,*v2);
798 V_StVpV(x.ptr(),as<Scalar>(-ST::one()),*z,*v1);
801 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
807 out <<
"\n"<<tc<<
") Testing V_S(v1.ptr(),alpha) ...\n";
813 const Scalar alpha = as<Scalar>(1.2345);
816 V_StVpV(z.ptr(),as<Scalar>(-ST::one()),*v1,*v2);
819 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
825 out <<
"\n"<<tc<<
") Testing V_V(v1.ptr(),*v2) ...\n";
832 randomize(as<Scalar>(as<Scalar>(-10)*ST::one()),as<Scalar>(as<Scalar>(10)*ST::one()),v1.
ptr());
834 V_StVpV(z.ptr(),as<Scalar>(-ST::one()),*v1,*v2);
837 ,
"error_tol",error_tol(),
"warning_tol",warning_tol(),&out
844 out <<
"\n*** Leaving VectorStdOpsTester<"<<ST::name()<<
">::checkStdOps(...) ...\n";
virtual std::string description() const
void assign(const Ptr< MultiVectorBase< Scalar > > &V, Scalar alpha)
V = alpha.
void randomize(Scalar l, Scalar u, const Ptr< MultiVectorBase< Scalar > > &V)
Generate a random multi-vector with elements uniformly distributed elements.
void V_VpV(const Ptr< MultiVectorBase< Scalar > > &Z, const MultiVectorBase< Scalar > &X, const MultiVectorBase< Scalar > &Y)
Z(i,j) = X(i,j) + Y(i,j), i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1.
void applyOp(const RTOpPack::RTOpT< Scalar > &primary_op, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &multi_vecs, const ArrayView< const Ptr< MultiVectorBase< Scalar > > > &targ_multi_vecs, const ArrayView< const Ptr< RTOpPack::ReductTarget > > &reduct_objs, const Ordinal primary_global_offset=0)
Apply a reduction/transformation operator column by column and return an array of the reduction objec...
void Vt_S(const Ptr< MultiVectorBase< Scalar > > &Z, const Scalar &alpha)
Z(i,j) *= alpha, i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1.
ScalarTraits< Scalar >::magnitudeType norm_1(const MultiVectorBase< Scalar > &V)
Take the induced matrix one norm of a multi-vector.
void V_VmV(const Ptr< MultiVectorBase< Scalar > > &Z, const MultiVectorBase< Scalar > &X, const MultiVectorBase< Scalar > &Y)
Z(i,j) = X(i,j) - Y(i,j), i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1.
void linear_combination(const ArrayView< const Scalar > &alpha, const ArrayView< const Ptr< const MultiVectorBase< Scalar > > > &X, const Scalar &beta, const Ptr< MultiVectorBase< Scalar > > &Y)
Y.col(j)(i) = beta*Y.col(j)(i) + sum( alpha[k]*X[k].col(j)(i), k=0...m-1 ), for i = 0....
void V_StVpV(const Ptr< MultiVectorBase< Scalar > > &Z, const Scalar &alpha, const MultiVectorBase< Scalar > &X, const MultiVectorBase< Scalar > &Y)
Z(i,j) = alpha*X(i,j) + Y(i), i = 0...z->space()->dim()-1, , j = 0...Z->domain()->dim()-1.
void Vp_V(const Ptr< MultiVectorBase< Scalar > > &Z, const MultiVectorBase< Scalar > &X)
Z(i,j) += X(i,j), i = 0...Z->range()->dim()-1, j = 0...Z->domain()->dim()-1.
Abstract interface for finite-dimensional dense vectors.
void maxLessThanBound(const VectorBase< Scalar > &x, const Scalar &bound, const Ptr< Scalar > &maxEle, const Ptr< Ordinal > &maxIndex)
Max element less than bound and its index: Returns maxEle = x(k) and maxIndex = k such that x(k) >= x...
void abs(const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
Element-wise absolute value: y(i) = abs(x(i)), i = 0...y->space()->dim()-1.
void Vp_StV(const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x)
AXPY: y(i) = alpha * x(i) + y(i), i = 0...y->space()->dim()-1.
void V_VpStV(const Ptr< VectorBase< Scalar > > &z, const VectorBase< Scalar > &x, const Scalar &alpha, const VectorBase< Scalar > &y)
z(i) = x(i) + alpha*y(i), i = 0...z->space()->dim()-1.
void set_ele(Ordinal i, Scalar alpha, const Ptr< VectorBase< Scalar > > &v)
Set single element: v(i) = alpha.
Teuchos::ScalarTraits< Scalar >::magnitudeType norm_2(const VectorBase< Scalar > &v)
Euclidean (2) norm: result = ||v||2.
void ele_wise_scale(const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
Element-wise scaling: y(i) *= x(i), i = 0...y->space()->dim()-1.
void Vt_StV(const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x)
Element-wise product update: y(i) *= alpha * x(i), i = 0...y->space()->dim()-1.
Teuchos::ScalarTraits< Scalar >::magnitudeType norm_inf(const VectorBase< Scalar > &v_rhs)
Infinity norm: result = ||v||inf.
void V_StV(const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x)
Assign scaled vector: y(i) = alpha * x(i), i = 0...y->space()->dim()-1.
Scalar min(const VectorBase< Scalar > &x)
Min element: result = min{ x(i), i = 0...x.space()->dim()-1 } .
Scalar sum(const VectorBase< Scalar > &v)
Sum of vector elements: result = sum( v(i), i = 0...v.space()->dim()-1 ).
void ele_wise_prod_update(const Scalar &alpha, const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
Element-wise product update: y(i) *= alpha * x(i), i = 0...y->space()->dim()-1.
Scalar get_ele(const VectorBase< Scalar > &v, Ordinal i)
Get single element: result = v(i).
void seed_randomize(unsigned int s)
Seed the random number generator used in randomize().
void V_S(const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha)
y(i) = alpha, i = 0...y->space()->dim()-1.
void pair_wise_max(const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, const Ptr< VectorBase< Scalar > > &y)
Element-wise maximum: y(i) = alpha * max(x(i), v(i)), i = 0...y->space()->dim()-1.
void minGreaterThanBound(const VectorBase< Scalar > &x, const Scalar &bound, const Ptr< Scalar > &minEle, const Ptr< Ordinal > &minIndex)
Minimum element greater than some bound and its index: Returns minEle = x(k) and minIndex = k such th...
void V_V(const Ptr< VectorBase< Scalar > > &y, const VectorBase< Scalar > &x)
y(i) = x(i), i = 0...y->space()->dim()-1.
void reciprocal(const VectorBase< Scalar > &x, const Ptr< VectorBase< Scalar > > &y)
Element-wise reciprocal: y(i) = 1/x(i), i = 0...y->space()->dim()-1.
void ele_wise_prod(const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v, const Ptr< VectorBase< Scalar > > &y)
Element-wise product update: y(i) += alpha * x(i) * v(i), i = 0...y->space()->dim()-1.
void Vp_StVtV(const Ptr< VectorBase< Scalar > > &y, const Scalar &alpha, const VectorBase< Scalar > &x, const VectorBase< Scalar > &v)
Element-wise product update: y(i) += alpha * x(i) * v(i), i = 0...y->space()->dim()-1.
void V_StVpStV(const Ptr< VectorBase< Scalar > > &z, const Scalar &alpha, const VectorBase< Scalar > &x, const Scalar &beta, const VectorBase< Scalar > &y)
z(i) = alpha*x(i) + beta*y(i), i = 0...z->space()->dim()-1.
Scalar max(const VectorBase< Scalar > &x)
Max element: result = max{ x(i), i = 1...n } .
Abstract interface for objects that represent a space for vectors.
virtual Ordinal dim() const =0
Return the dimension of the vector space.
RCP< VectorBase< Scalar > > createMember(const RCP< const VectorSpaceBase< Scalar > > &vs, const std::string &label="")
Create a vector member from the vector space.
bool checkStdOps(const VectorSpaceBase< Scalar > &vecSpc, std::ostream *out=0, const bool &dumpAll=false)
Run the tests using a vector space.
VectorStdOpsTester(const ScalarMag &warning_tol=0, const ScalarMag &error_tol=0)
Teuchos::ScalarTraits< Scalar >::magnitudeType ScalarMag
#define TEUCHOS_ASSERT(assertion_test)
#define TEUCHOS_TEST_FOR_EXCEPTION(throw_exception_test, Exception, msg)
bool nonnull(const std::shared_ptr< T > &p)
const std::string passfail(const bool result)
bool testMaxErr(const std::string &error_name, const Scalar &error, const std::string &max_error_name, const typename Teuchos::ScalarTraits< Scalar >::magnitudeType &max_error, const std::string &max_warning_name, const typename Teuchos::ScalarTraits< Scalar >::magnitudeType &max_warning, std::ostream *out, const std::string &leadingIndent=std::string(""))
Check that an error is less than some error tolerence.
Teuchos::Ordinal Ordinal
Type for the dimension of a vector space. `*.
TypeTo as(const TypeFrom &t)
#define TEUCHOS_TEST_ASSERT(v1, out, success)
#define TEUCHOS_TEST_THROW(code, ExceptType, out, success)
#define TEUCHOS_TEST_EQUALITY_CONST(v1, v2, out, success)