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<center><a href="https://gitlab.com/slepc/slepc/-/blob/bbccb785e5ebe6829936989c71776839602f087b/include/slepcsc.h">Actual source code: slepcsc.h</a></center><br>
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<a name="line1"> 1: </a><font color="#B22222">/*</font>
<a name="line2"> 2: </a><font color="#B22222"> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</font>
<a name="line3"> 3: </a><font color="#B22222"> SLEPc - Scalable Library for Eigenvalue Problem Computations</font>
<a name="line4"> 4: </a><font color="#B22222"> Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain</font>
<a name="line6"> 6: </a><font color="#B22222"> This file is part of SLEPc.</font>
<a name="line7"> 7: </a><font color="#B22222"> SLEPc is distributed under a 2-clause BSD license (see LICENSE).</font>
<a name="line8"> 8: </a><font color="#B22222"> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -</font>
<a name="line9"> 9: </a><font color="#B22222">*/</font>
<a name="line10"> 10: </a><font color="#B22222">/*</font>
<a name="line11"> 11: </a><font color="#B22222"> Sorting criterion for various solvers</font>
<a name="line12"> 12: </a><font color="#B22222">*/</font>
<a name="line14"> 14: </a><font color="#A020F0">#pragma once</font>
<a name="line16"> 16: </a>#include <A href="../include/slepcsys.h.html"><slepcsys.h></A>
<a name="line17"> 17: </a>#include <A href="../include/slepcrgtypes.h.html"><slepcrgtypes.h></A>
<a name="line19"> 19: </a><font color="#B22222">/* SUBMANSEC = Sys */</font>
<a name="line21"> 21: </a><font color="#B22222">/*S</font>
<a name="line22"> 22: </a><font color="#B22222"> <a href="../manualpages/Sys/SlepcEigenvalueComparisonFn.html">SlepcEigenvalueComparisonFn</a> - A prototype of an eigenvalue comparison function that would</font>
<a name="line23"> 23: </a><font color="#B22222"> be passed to `<a href="../manualpages/EPS/EPSSetEigenvalueComparison.html">EPSSetEigenvalueComparison</a>()` and analogue functions in other solver types.</font>
<a name="line25"> 25: </a><font color="#B22222"> Calling Sequence:</font>
<a name="line26"> 26: </a><font color="#B22222">+ ar - real part of the 1st eigenvalue</font>
<a name="line27"> 27: </a><font color="#B22222">. ai - imaginary part of the 1st eigenvalue</font>
<a name="line28"> 28: </a><font color="#B22222">. br - real part of the 2nd eigenvalue</font>
<a name="line29"> 29: </a><font color="#B22222">. bi - imaginary part of the 2nd eigenvalue</font>
<a name="line30"> 30: </a><font color="#B22222">. res - [output] result of comparison</font>
<a name="line31"> 31: </a><font color="#B22222">- ctx - [optional] user-defined context for private data for the</font>
<a name="line32"> 32: </a><font color="#B22222"> eigenvalue comparison routine (may be `NULL`)</font>
<a name="line34"> 34: </a><font color="#B22222"> Note:</font>
<a name="line35"> 35: </a><font color="#B22222"> The return value `res` can be</font>
<a name="line36"> 36: </a><font color="#B22222">+ negative - if the 1st value is preferred to the 2st one</font>
<a name="line37"> 37: </a><font color="#B22222">. zero - if both values are equally preferred</font>
<a name="line38"> 38: </a><font color="#B22222">- positive - if the 2st value is preferred to the 1st one</font>
<a name="line40"> 40: </a><font color="#B22222"> Level: advanced</font>
<a name="line42"> 42: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a>`, `<a href="../manualpages/EPS/EPSSetEigenvalueComparison.html">EPSSetEigenvalueComparison</a>()`</font>
<a name="line43"> 43: </a><font color="#B22222">S*/</font>
<a name="line44"> 44: </a><strong><font color="#4169E1">PETSC_EXTERN_TYPEDEF typedef <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> <a href="../manualpages/Sys/SlepcEigenvalueComparisonFn.html">SlepcEigenvalueComparisonFn</a>(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> ar,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> ai,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> br,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> bi,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a> *res,void *ctx)</font></strong>;
<a name="line46"> 46: </a><font color="#B22222">/*S</font>
<a name="line47"> 47: </a><font color="#B22222"> <a href="../manualpages/Sys/SlepcArbitrarySelectionFn.html">SlepcArbitrarySelectionFn</a> - A prototype of an arbitrary selection function that would be</font>
<a name="line48"> 48: </a><font color="#B22222"> passed to `<a href="../manualpages/EPS/EPSSetArbitrarySelection.html">EPSSetArbitrarySelection</a>()` and analogue functions in other solver types.</font>
<a name="line50"> 50: </a><font color="#B22222"> Calling Sequence:</font>
<a name="line51"> 51: </a><font color="#B22222">+ er - real part of the current eigenvalue approximation</font>
<a name="line52"> 52: </a><font color="#B22222">. ei - imaginary part of the current eigenvalue approximation</font>
<a name="line53"> 53: </a><font color="#B22222">. xr - real part of the current eigenvector approximation</font>
<a name="line54"> 54: </a><font color="#B22222">. xi - imaginary part of the current eigenvector approximation</font>
<a name="line55"> 55: </a><font color="#B22222">. rr - result of evaluation (real part)</font>
<a name="line56"> 56: </a><font color="#B22222">. ri - result of evaluation (imaginary part)</font>
<a name="line57"> 57: </a><font color="#B22222">- ctx - [optional] user-defined context for private data for the</font>
<a name="line58"> 58: </a><font color="#B22222"> arbitrary selection routine (may be `NULL`)</font>
<a name="line60"> 60: </a><font color="#B22222"> Notes:</font>
<a name="line61"> 61: </a><font color="#B22222"> Given a scalar and a vector (usually an approximate eigenvalue and the corresponding</font>
<a name="line62"> 62: </a><font color="#B22222"> eigenvector) this function evaluates the result `rr`, `ri` which is the value that</font>
<a name="line63"> 63: </a><font color="#B22222"> will be used in a subsequent sorting.</font>
<a name="line65"> 65: </a><font color="#B22222"> This evaluation function is collective, that is, all processes call it and</font>
<a name="line66"> 66: </a><font color="#B22222"> it can use collective operations; furthermore, the computed result must</font>
<a name="line67"> 67: </a><font color="#B22222"> be the same in all processes.</font>
<a name="line69"> 69: </a><font color="#B22222"> The result is expressed as a complex number so that it is possible to</font>
<a name="line70"> 70: </a><font color="#B22222"> use the standard eigenvalue sorting functions, but normally only `rr` is used.</font>
<a name="line71"> 71: </a><font color="#B22222"> Set `ri` to zero unless it is meaningful in your application.</font>
<a name="line73"> 73: </a><font color="#B22222"> Level: advanced</font>
<a name="line75"> 75: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a>`, `<a href="../manualpages/Sys/SlepcEigenvalueComparisonFn.html">SlepcEigenvalueComparisonFn</a>`, `<a href="../manualpages/EPS/EPSSetArbitrarySelection.html">EPSSetArbitrarySelection</a>()`</font>
<a name="line76"> 76: </a><font color="#B22222">S*/</font>
<a name="line77"> 77: </a><strong><font color="#4169E1">PETSC_EXTERN_TYPEDEF typedef <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> <a href="../manualpages/Sys/SlepcArbitrarySelectionFn.html">SlepcArbitrarySelectionFn</a>(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> er,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> ei,<a href="https://petsc.org/release/manualpages/Vec/Vec/">Vec</a> xr,<a href="https://petsc.org/release/manualpages/Vec/Vec/">Vec</a> xi,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> *rr,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a> *ri,void *ctx)</font></strong>;
<a name="line79"> 79: </a><font color="#B22222">/*S</font>
<a name="line80"> 80: </a><font color="#B22222"> <a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a> - Data structure (a C `struct`) for storing information about the sorting</font>
<a name="line81"> 81: </a><font color="#B22222"> criterion used by different eigensolver objects.</font>
<a name="line83"> 83: </a><font color="#B22222"> Notes:</font>
<a name="line84"> 84: </a><font color="#B22222"> The `<a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a>` structure contains a mapping function and a comparison</font>
<a name="line85"> 85: </a><font color="#B22222"> function (with associated contexts).</font>
<a name="line86"> 86: </a><font color="#B22222"> The mapping function usually calls the backtransform operation of an `<a href="../manualpages/ST/ST.html">ST</a>` object.</font>
<a name="line87"> 87: </a><font color="#B22222"> An optional region can also be used to give higher priority to values inside it.</font>
<a name="line89"> 89: </a><font color="#B22222"> The member `comparison` typically points to a predefined comparison function</font>
<a name="line90"> 90: </a><font color="#B22222"> such as `SlepcCompareLargestMagnitude`, though it can also be user-defined.</font>
<a name="line92"> 92: </a><font color="#B22222"> Fortran Note:</font>
<a name="line93"> 93: </a><font color="#B22222"> Fortran usage is not supported.</font>
<a name="line95"> 95: </a><font color="#B22222"> Developer Notes:</font>
<a name="line96"> 96: </a><font color="#B22222"> This is a low-level data structure common to all solver classes for the task of</font>
<a name="line97"> 97: </a><font color="#B22222"> sorting a list of scalars, typically computed eigenvalues.</font>
<a name="line99"> 99: </a><font color="#B22222"> The main operation associated to this data structure is `<a href="../manualpages/Sys/SlepcSCCompare.html">SlepcSCCompare</a>()` to</font>
<a name="line100">100: </a><font color="#B22222"> compare two scalar values, which in turn is called from `<a href="../manualpages/Sys/SlepcSortEigenvalues.html">SlepcSortEigenvalues</a>()`.</font>
<a name="line102">102: </a><font color="#B22222"> Level: developer</font>
<a name="line104">104: </a><font color="#B22222">.seealso: `<a href="../manualpages/Sys/SlepcEigenvalueComparisonFn.html">SlepcEigenvalueComparisonFn</a>`, `<a href="../manualpages/Sys/SlepcSortEigenvalues.html">SlepcSortEigenvalues</a>()`, `<a href="../manualpages/Sys/SlepcSCCompare.html">SlepcSCCompare</a>()`</font>
<a name="line105">105: </a><font color="#B22222">S*/</font>
<a name="line106">106: </a><font color="#4169E1"><a name="_n_SlepcSC"></a>struct _n_SlepcSC </font>{
<a name="line107">107: </a> <font color="#B22222">/* map values before sorting, typically a call to <a href="../manualpages/ST/STBackTransform.html">STBackTransform</a> (mapctx=<a href="../manualpages/ST/ST.html">ST</a>) */</font>
<a name="line108">108: </a> <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> (*map)(<a href="https://petsc.org/release/manualpages/Sys/PetscObject/">PetscObject</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>*,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>*);
<a name="line109">109: </a> <a href="https://petsc.org/release/manualpages/Sys/PetscObject/">PetscObject</a> mapobj;
<a name="line110">110: </a> <font color="#B22222">/* comparison function such as SlepcCompareLargestMagnitude */</font>
<a name="line111">111: </a> <a href="../manualpages/Sys/SlepcEigenvalueComparisonFn.html">SlepcEigenvalueComparisonFn</a> *comparison;
<a name="line112">112: </a> void *comparisonctx;
<a name="line113">113: </a> <font color="#B22222">/* optional region for filtering */</font>
<a name="line114">114: </a> <a href="../manualpages/RG/RG.html">RG</a> rg;
<a name="line115">115: </a>};
<a name="line116">116: </a><font color="#4169E1">typedef struct _n_SlepcSC* <a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a>;</font>
<a name="line118">118: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> <a href="../manualpages/Sys/SlepcSCCompare.html">SlepcSCCompare</a>(<a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*)</font></strong>;
<a name="line119">119: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> <a href="../manualpages/Sys/SlepcSortEigenvalues.html">SlepcSortEigenvalues</a>(<a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>[],<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>[],<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>[])</font></strong>;
<a name="line120">120: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> <a href="../manualpages/Sys/SlepcSortEigenvaluesSpecial.html">SlepcSortEigenvaluesSpecial</a>(<a href="../manualpages/Sys/SlepcSC.html">SlepcSC</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>[],<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>[],<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>[])</font></strong>;
<a name="line122">122: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcMap_ST(<a href="https://petsc.org/release/manualpages/Sys/PetscObject/">PetscObject</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>*,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>*)</font></strong>;
<a name="line124">124: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareLargestMagnitude(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line125">125: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareSmallestMagnitude(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line126">126: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareLargestReal(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line127">127: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareSmallestReal(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line128">128: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareLargestImaginary(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line129">129: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareSmallestImaginary(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line130">130: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareTargetMagnitude(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line131">131: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareTargetReal(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line132">132: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareTargetImaginary(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
<a name="line133">133: </a><strong><font color="#4169E1">SLEPC_EXTERN <a href="https://petsc.org/release/manualpages/Sys/PetscErrorCode/">PetscErrorCode</a> SlepcCompareSmallestPosReal(<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscScalar/">PetscScalar</a>,<a href="https://petsc.org/release/manualpages/Sys/PetscInt/">PetscInt</a>*,void*)</font></strong>;
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