xref: /petsc/src/mat/interface/matnull.c (revision 549d3d68a6ae470532d58d544870024f02ff2d7c)
1 #ifdef PETSC_RCS_HEADER
2 static char vcid[] = "$Id: pcnull.c,v 1.23 1999/04/16 16:08:03 bsmith Exp balay $";
3 #endif
4 /*
5     Routines to project vectors out of null spaces.
6 */
7 
8 #include "petsc.h"
9 #include "src/sles/pc/pcimpl.h"      /*I "pc.h" I*/
10 #include "sys.h"
11 
12 
13 #undef __FUNC__
14 #define __FUNC__ "PCNullSpaceCreate"
15 /*@C
16    PCNullSpaceCreate - Creates a data-structure used to project vectors
17    out of null spaces.
18 
19    Collective on MPI_Comm
20 
21    Input Parameters:
22 +  comm - the MPI communicator associated with the object
23 .  has_cnst - PETSC_TRUE if the null space contains the constant vector; otherwise PETSC_FALSE
24 .  n - number of vectors (excluding constant vector) in null space
25 -  vecs - the vectors that span the null space (excluding the constant vector);
26           these vectors must be orthonormal
27 
28    Output Parameter:
29 .  SP - the null space context
30 
31    Level: advanced
32 
33 .keywords: PC, null space, create
34 
35 .seealso: PCNullSpaceDestroy(), PCNullSpaceRemove()
36 @*/
37 int PCNullSpaceCreate(MPI_Comm comm, int has_cnst, int n, Vec *vecs,PCNullSpace *SP)
38 {
39   PCNullSpace sp;
40 
41   PetscFunctionBegin;
42   PetscHeaderCreate(sp,_p_PCNullSpace,int,PCNULLSPACE_COOKIE,0,"PCNullSpace",comm,PCNullSpaceDestroy,0);
43   PLogObjectCreate(sp);
44   PLogObjectMemory(sp,sizeof(struct _p_PCNullSpace));
45 
46   sp->has_cnst = has_cnst;
47   sp->n        = n;
48   sp->vecs     = vecs;
49 
50   *SP          = sp;
51   PetscFunctionReturn(0);
52 }
53 
54 #undef __FUNC__
55 #define __FUNC__ "PCNullSpaceDestroy"
56 /*@
57    PCNullSpaceDestroy - Destroys a data-structure used to project vectors
58    out of null spaces.
59 
60    Collective on PCNullSpace
61 
62    Input Parameter:
63 .  sp - the null space context to be destroyed
64 
65    Level: advanced
66 
67 .keywords: PC, null space, destroy
68 
69 .seealso: PCNullSpaceDestroy(), PCNullSpaceRemove()
70 @*/
71 int PCNullSpaceDestroy(PCNullSpace sp)
72 {
73   PetscFunctionBegin;
74   PLogObjectDestroy(sp);
75   PetscHeaderDestroy(sp);
76   PetscFunctionReturn(0);
77 }
78 
79 #undef __FUNC__
80 #define __FUNC__ "PCNullSpaceRemove"
81 /*@
82    PCNullSpaceRemove - Removes all the components of a null space from a vector.
83 
84    Collective on PCNullSpace
85 
86    Input Parameters:
87 +  sp - the null space context
88 -  vec - the vector from which the null space is to be removed
89 
90    Level: advanced
91 
92 .keywords: PC, null space, remove
93 
94 .seealso: PCNullSpaceCreate(), PCNullSpaceDestroy()
95 @*/
96 int PCNullSpaceRemove(PCNullSpace sp,Vec vec)
97 {
98   Scalar sum;
99   int    j, n = sp->n, N,ierr;
100 
101   PetscFunctionBegin;
102   if (sp->has_cnst) {
103     ierr = VecSum(vec,&sum);CHKERRQ(ierr);
104     ierr = VecGetSize(vec,&N);CHKERRQ(ierr);
105     sum  = sum/(-1.0*N);
106     ierr = VecShift(&sum,vec);CHKERRQ(ierr);
107   }
108 
109   for ( j=0; j<n; j++ ) {
110     ierr = VecDot(vec,sp->vecs[j],&sum);CHKERRQ(ierr);
111     sum  = -sum;
112     ierr = VecAYPX(&sum,sp->vecs[j],vec);CHKERRQ(ierr);
113   }
114 
115   PetscFunctionReturn(0);
116 }
117