Example #1
0
func TestBidiagReduceUnblocked(t *testing.T) {

	N := 217
	M := 269
	conf := gomas.NewConf()
	conf.LB = 0

	zeromean := cmat.NewFloatNormSource()
	A := cmat.NewMatrix(M, N)
	A.SetFrom(zeromean)
	tauq := cmat.NewMatrix(N, 1)
	taup := cmat.NewMatrix(N, 1)

	At := cmat.NewMatrix(N, M)
	blasd.Transpose(At, A)
	tauqt := cmat.NewMatrix(N, 1)
	taupt := cmat.NewMatrix(N, 1)

	W := lapackd.Workspace(M + N)

	lapackd.BDReduce(A, tauq, taup, W, conf)
	lapackd.BDReduce(At, tauqt, taupt, W, conf)

	// BiRed(A) == BiRed(A.T).T
	blasd.Plus(At, A, 1.0, -1.0, gomas.TRANSB)
	blasd.Axpy(tauqt, taup, -1.0)
	blasd.Axpy(taupt, tauq, -1.0)

	nrm := lapackd.NormP(At, lapackd.NORM_ONE)
	t.Logf("M=%d, N=%d || BiRed(A) - BiRed(A.T).T||_1 : %e\n", M, N, nrm)
	nrm = lapackd.NormP(taupt, lapackd.NORM_ONE)
	t.Logf("  || BiRed(A).tauq - BiRed(A.T).taup||_1 : %e\n", nrm)
	nrm = lapackd.NormP(tauqt, lapackd.NORM_ONE)
	t.Logf("  || BiRed(A).taup - BiRed(A.T).tauq||_1 : %e\n", nrm)
}
Example #2
0
func TestReduceBidiagBlkWide(t *testing.T) {

	N := 911
	M := 823
	nb := 48
	conf := gomas.NewConf()
	conf.LB = 0

	zeromean := cmat.NewFloatNormSource()
	A := cmat.NewMatrix(M, N)
	A.SetFrom(zeromean)
	tauq := cmat.NewMatrix(N, 1)
	taup := cmat.NewMatrix(N, 1)

	A1 := cmat.NewCopy(A)
	tauq1 := cmat.NewMatrix(N, 1)
	taup1 := cmat.NewMatrix(N, 1)

	W := lapackd.Workspace(M + N)

	lapackd.BDReduce(A, tauq, taup, W, conf)
	conf.LB = nb
	W1 := lapackd.Workspace(lapackd.BDReduceWork(A1, conf))
	lapackd.BDReduce(A1, tauq1, taup1, W1, conf)

	// BiRed(A) == BiRed(A.T).T
	blasd.Plus(A1, A, 1.0, -1.0, gomas.NONE)
	blasd.Axpy(tauq1, tauq, -1.0)
	blasd.Axpy(taup1, taup, -1.0)

	nrm := lapackd.NormP(A1, lapackd.NORM_ONE)
	t.Logf("M=%d, N=%d || BiRed(A) - blk.BiRed(A)||_1 : %e\n", M, N, nrm)
	nrm = lapackd.NormP(taup1, lapackd.NORM_ONE)
	t.Logf("  || BiRed(A).tauq - blk.BiRed(A).taup||_1 : %e\n", nrm)
	nrm = lapackd.NormP(tauq1, lapackd.NORM_ONE)
	t.Logf("  || BiRed(A).taup - blk.BiRed(A).tauq||_1 : %e\n", nrm)
}
Example #3
0
func TestBidiagReduceBlockedTall(t *testing.T) {

	N := 711
	M := 883
	nb := 64
	conf := gomas.NewConf()
	conf.LB = 0

	zeromean := cmat.NewFloatNormSource()
	A := cmat.NewMatrix(M, N)
	A.SetFrom(zeromean)
	tauq := cmat.NewMatrix(N, 1)
	taup := cmat.NewMatrix(N, 1)

	A1 := cmat.NewCopy(A)
	tauq1 := cmat.NewMatrix(N, 1)
	taup1 := cmat.NewMatrix(N, 1)

	W := lapackd.Workspace(M + N)
	W1 := lapackd.Workspace(nb * (M + N + 1))

	lapackd.BDReduce(A, tauq, taup, W, conf)
	conf.LB = nb
	lapackd.BDReduce(A1, tauq1, taup1, W1, conf)

	// unblk.BiRed(A) == blk.BiRed(A)
	blasd.Plus(A1, A, 1.0, -1.0, gomas.NONE)
	blasd.Axpy(tauq1, tauq, -1.0)
	blasd.Axpy(taup1, taup, -1.0)

	nrm := lapackd.NormP(A1, lapackd.NORM_ONE)
	t.Logf("M=%d, N=%d || unblk.BiRed(A) - blk.BiRed(A)||_1 : %e\n", M, N, nrm)
	nrm = lapackd.NormP(taup1, lapackd.NORM_ONE)
	t.Logf("  || unblk.BiRed(A).tauq - blk.BiRed(A).taup||_1 : %e\n", nrm)
	nrm = lapackd.NormP(tauq1, lapackd.NORM_ONE)
	t.Logf("  || unblk.BiRed(A).taup - blk.BiRed(A).tauq||_1 : %e\n", nrm)
}
Example #4
0
func TestBiredWide(t *testing.T) {
	N := 811
	M := 693
	nb := 32
	conf := gomas.NewConf()
	conf.LB = 0
	ediag := -1

	zeromean := cmat.NewFloatNormSource()
	A := cmat.NewMatrix(M, N)
	A.SetFrom(zeromean)
	A0 := cmat.NewCopy(A)

	tauq := cmat.NewMatrix(N, 1)
	taup := cmat.NewMatrix(N, 1)

	W := lapackd.Workspace(M + N)
	lapackd.BDReduce(A, tauq, taup, W, conf)

	var D, E, Bd, Be cmat.FloatMatrix
	D.Diag(A)
	E.Diag(A, ediag)

	B := cmat.NewMatrix(M, N)
	Bd.Diag(B)
	Be.Diag(B, ediag)
	blasd.Copy(&Bd, &D)
	blasd.Copy(&Be, &E)

	Bt := cmat.NewMatrix(N, M)
	blasd.Transpose(Bt, B)

	conf.LB = nb
	W0 := lapackd.Workspace(lapackd.BDMultWork(B, conf))
	lapackd.BDMult(B, A, tauq, W0, gomas.MULTQ|gomas.LEFT, conf)
	lapackd.BDMult(Bt, A, tauq, W0, gomas.MULTQ|gomas.RIGHT|gomas.TRANS, conf)

	lapackd.BDMult(B, A, taup, W0, gomas.MULTP|gomas.RIGHT|gomas.TRANS, conf)
	lapackd.BDMult(Bt, A, taup, W0, gomas.MULTP|gomas.LEFT, conf)

	blasd.Plus(B, A0, 1.0, -1.0, gomas.NONE)
	nrm := lapackd.NormP(B, lapackd.NORM_ONE)
	t.Logf("M=%d, N=%d ||A - Q*B*P.T||_1   : %e\n", M, N, nrm)
	blasd.Plus(Bt, A0, 1.0, -1.0, gomas.TRANSB)
	nrm = lapackd.NormP(Bt, lapackd.NORM_ONE)
	t.Logf("M=%d, N=%d ||A.T - P*B.T*Q.T||_1 : %e\n", M, N, nrm)
}