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trank_test.go
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package calgo
import (
"github.com/henrylee2cn/algorithm/linalg"
"github.com/henrylee2cn/algorithm/linalg/blas"
"github.com/henrylee2cn/algorithm/matrix"
"testing"
)
func _TestRankSmall(t *testing.T) {
bM := 5
bN := 5
//bP := 5
Adata := [][]float64{
[]float64{1.0, 1.0, 1.0, 1.0, 1.0},
[]float64{2.0, 2.0, 2.0, 2.0, 2.0},
[]float64{3.0, 3.0, 3.0, 3.0, 3.0},
[]float64{4.0, 4.0, 4.0, 4.0, 4.0},
[]float64{5.0, 5.0, 5.0, 5.0, 5.0}}
A := matrix.FloatMatrixFromTable(Adata, matrix.RowOrder)
A0 := matrix.FloatMatrixFromTable(Adata, matrix.RowOrder)
X := matrix.FloatVector([]float64{1.0, 2.0, 3.0, 4.0, 5.0})
Y := matrix.FloatWithValue(bN, 1, 2.0)
Ar := A.FloatArray()
Xr := X.FloatArray()
Yr := Y.FloatArray()
blas.GerFloat(X, Y, A0, 1.0)
DRankMV(Ar, Xr, Yr, 1.0, A.LeadingIndex(), 1, 1, 0, bN, 0, bM, 4, 4)
ok := A0.AllClose(A)
t.Logf("A0 == A1: %v\n", ok)
if !ok {
t.Logf("blas ger:\n%v\n", A0)
t.Logf("A1: \n%v\n", A)
}
}
func _TestRank(t *testing.T) {
bM := M * 100
bN := N * 100
//bP := 5
A := matrix.FloatWithValue(bM, bN, 1.0)
A0 := matrix.FloatWithValue(bM, bN, 1.0)
X := matrix.FloatNormal(bM, 1)
Y := matrix.FloatNormal(bN, 1)
Ar := A.FloatArray()
Xr := X.FloatArray()
Yr := Y.FloatArray()
blas.GerFloat(X, Y, A0, 1.0)
DRankMV(Ar, Xr, Yr, 1.0, A.LeadingIndex(), 1, 1, 0, bN, 0, bM, 4, 4)
t.Logf("GER A0 == A1: %v\n", A0.AllClose(A))
}
func _TestMultSyrSmall(t *testing.T) {
bN := 7
//A := matrix.FloatNormal(bN, bN)
//B := matrix.FloatNormal(bN, bP)
//A := matrix.FloatWithValue(bM, bP, 1.0)
X := matrix.FloatWithValue(bN, 1, 1.0)
C0 := matrix.FloatZeros(bN, bN)
C1 := matrix.FloatZeros(bN, bN)
for i := 0; i < bN; i++ {
X.Add(1.0+float64(i), i)
}
t.Logf("X=\n%v\n", X)
Xr := X.FloatArray()
C1r := C1.FloatArray()
blas.SyrFloat(X, C0, 1.0, linalg.OptUpper)
DSymmRankMV(C1r, Xr, 1.0, UPPER, C1.LeadingIndex(), 1, 0, bN, 4)
ok := C0.AllClose(C1)
t.Logf("UPPER C0 == C1: %v\n", ok)
if !ok {
t.Logf("blas: C0\n%v\n", C0)
t.Logf("C1: C1 = A*X\n%v\n", C1)
}
blas.SyrFloat(X, C0, 1.0, linalg.OptLower)
DSymmRankMV(C1r, Xr, 1.0, LOWER, C1.LeadingIndex(), 1, 0, bN, 4)
ok = C0.AllClose(C1)
t.Logf("LOWER C0 == C1: %v\n", ok)
if !ok {
t.Logf("blas: C0\n%v\n", C0)
t.Logf("C1: C1 = A*X\n%v\n", C1)
}
}
func _TestMultSyr2Small(t *testing.T) {
bN := 7
//A := matrix.FloatNormal(bN, bN)
//B := matrix.FloatNormal(bN, bP)
//A := matrix.FloatWithValue(bM, bP, 1.0)
X := matrix.FloatWithValue(bN, 1, 1.0)
Y := matrix.FloatWithValue(bN, 1, 1.0)
C0 := matrix.FloatZeros(bN, bN)
C1 := matrix.FloatZeros(bN, bN)
for i := 0; i < bN; i++ {
X.Add(1.0+float64(i), i)
Y.Add(2.0+float64(i), i)
}
t.Logf("X=\n%v\nY=\n%v\n", X, Y)
Xr := X.FloatArray()
Yr := Y.FloatArray()
C1r := C1.FloatArray()
blas.Syr2Float(X, Y, C0, 1.0, linalg.OptUpper)
DSymmRank2MV(C1r, Xr, Yr, 1.0, UPPER, C1.LeadingIndex(), 1, 1, 0, bN, 4)
ok := C0.AllClose(C1)
t.Logf("UPPER C0 == C1: %v\n", ok)
if !ok {
t.Logf("C1: C1 = A*X\n%v\n", C1)
t.Logf("blas: C0\n%v\n", C0)
}
blas.Syr2Float(X, Y, C0, 1.0, linalg.OptLower)
DSymmRank2MV(C1r, Xr, Yr, 1.0, LOWER, C1.LeadingIndex(), 1, 1, 0, bN, 4)
ok = C0.AllClose(C1)
t.Logf("LOWER C0 == C1: %v\n", ok)
if !ok {
t.Logf("blas: C0\n%v\n", C0)
t.Logf("C1: C1 = A*X\n%v\n", C1)
}
}
func syrkTest(t *testing.T, C, A *matrix.FloatMatrix, flags Flags, vlen, nb int) bool {
//var B0 *matrix.FloatMatrix
P := A.Cols()
S := 0
E := C.Rows()
C0 := C.Copy()
trans := linalg.OptNoTrans
if flags&TRANSA != 0 {
trans = linalg.OptTrans
P = A.Rows()
}
uplo := linalg.OptUpper
if flags&LOWER != 0 {
uplo = linalg.OptLower
}
blas.SyrkFloat(A, C0, 1.0, 1.0, uplo, trans)
if A.Rows() < 8 {
//t.Logf("..A\n%v\n", A)
t.Logf(" BLAS C0:\n%v\n", C0)
}
Ar := A.FloatArray()
Cr := C.FloatArray()
DSymmRankBlk(Cr, Ar, 1.0, 1.0, flags, C.LeadingIndex(), A.LeadingIndex(),
P, S, E, vlen, nb)
result := C0.AllClose(C)
t.Logf(" C0 == C: %v\n", result)
if A.Rows() < 8 {
t.Logf(" DMRank C:\n%v\n", C)
}
return result
}
func _TestSyrkSmall(t *testing.T) {
//bN := 7
Udata3 := [][]float64{
[]float64{2.0, 2.0, 2.0},
[]float64{0.0, 3.0, 3.0},
[]float64{0.0, 0.0, 4.0}}
Udata := [][]float64{
[]float64{1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0},
[]float64{0.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0},
[]float64{0.0, 0.0, 3.0, 3.0, 3.0, 3.0, 3.0},
[]float64{0.0, 0.0, 0.0, 4.0, 4.0, 4.0, 4.0},
[]float64{0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 5.0},
[]float64{0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 6.0},
[]float64{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0}}
U := matrix.FloatMatrixFromTable(Udata, matrix.RowOrder)
U3 := matrix.FloatMatrixFromTable(Udata3, matrix.RowOrder)
_ = U
_ = U3
Ldata3 := [][]float64{
[]float64{1.0, 0.0, 0.0},
[]float64{1.0, 2.0, 0.0},
[]float64{1.0, 2.0, 3.0}}
Ldata := [][]float64{
[]float64{1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0}}
L := matrix.FloatMatrixFromTable(Ldata, matrix.RowOrder)
L3 := matrix.FloatMatrixFromTable(Ldata3, matrix.RowOrder)
_ = L
_ = L3
Adata := [][]float64{
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0}}
A := matrix.FloatMatrixFromTable(Adata)
t.Logf("-- SYRK UPPER --")
syrkTest(t, U.Copy(), A, UPPER, 4, 2)
t.Logf("-- SYRK LOWER --")
syrkTest(t, L.Copy(), A, LOWER, 4, 2)
t.Logf("-- SYRK UPPER, TRANSA --")
t.Logf("A: \n%v\n", A.Transpose())
syrkTest(t, U.Copy(), A.Transpose(), UPPER|TRANSA, 4, 2)
t.Logf("-- SYRK LOWER --")
syrkTest(t, L.Copy(), A.Transpose(), LOWER|TRANSA, 4, 2)
}
func syrk2Test(t *testing.T, C, A, B *matrix.FloatMatrix, flags Flags, vlen, nb int) bool {
//var B0 *matrix.FloatMatrix
P := A.Cols()
S := 0
E := C.Rows()
C0 := C.Copy()
trans := linalg.OptNoTrans
if flags&TRANSA != 0 {
trans = linalg.OptTrans
P = A.Rows()
}
uplo := linalg.OptUpper
if flags&LOWER != 0 {
uplo = linalg.OptLower
}
blas.Syr2kFloat(A, B, C0, 1.0, 1.0, uplo, trans)
if A.Rows() < 8 {
//t.Logf("..A\n%v\n", A)
t.Logf(" BLAS C0:\n%v\n", C0)
}
Ar := A.FloatArray()
Br := B.FloatArray()
Cr := C.FloatArray()
DSymmRank2Blk(Cr, Ar, Br, 1.0, 1.0, flags, C.LeadingIndex(), A.LeadingIndex(),
B.LeadingIndex(), P, S, E, vlen, nb)
result := C0.AllClose(C)
t.Logf(" C0 == C: %v\n", result)
if A.Rows() < 8 {
t.Logf(" DMRank2 C:\n%v\n", C)
}
return result
}
func _TestSyrk2Small(t *testing.T) {
//bN := 7
Udata3 := [][]float64{
[]float64{2.0, 2.0, 2.0},
[]float64{0.0, 3.0, 3.0},
[]float64{0.0, 0.0, 4.0}}
Udata := [][]float64{
[]float64{1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0},
[]float64{0.0, 2.0, 2.0, 2.0, 2.0, 2.0, 2.0},
[]float64{0.0, 0.0, 3.0, 3.0, 3.0, 3.0, 3.0},
[]float64{0.0, 0.0, 0.0, 4.0, 4.0, 4.0, 4.0},
[]float64{0.0, 0.0, 0.0, 0.0, 5.0, 5.0, 5.0},
[]float64{0.0, 0.0, 0.0, 0.0, 0.0, 6.0, 6.0},
[]float64{0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 7.0}}
U := matrix.FloatMatrixFromTable(Udata, matrix.RowOrder)
U3 := matrix.FloatMatrixFromTable(Udata3, matrix.RowOrder)
_ = U
_ = U3
Ldata3 := [][]float64{
[]float64{1.0, 0.0, 0.0},
[]float64{1.0, 2.0, 0.0},
[]float64{1.0, 2.0, 3.0}}
Ldata := [][]float64{
[]float64{1.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 0.0, 0.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 0.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 0.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 0.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 0.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0}}
L := matrix.FloatMatrixFromTable(Ldata, matrix.RowOrder)
L3 := matrix.FloatMatrixFromTable(Ldata3, matrix.RowOrder)
_ = L
_ = L3
Adata := [][]float64{
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0},
[]float64{1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0}}
Bdata := [][]float64{
[]float64{7.0, 6.0, 5.0, 4.0, 3.0, 2.0, 1.0},
[]float64{7.0, 6.0, 5.0, 4.0, 3.0, 2.0, 1.0}}
_ = Bdata
A := matrix.FloatMatrixFromTable(Adata)
//B := matrix.FloatMatrixFromTable(Bdata);
B := matrix.FloatNormal(7, 2)
t.Logf("-- SYR2K UPPER --")
syrk2Test(t, U.Copy(), A, B, UPPER, 4, 2)
t.Logf("-- SYR2K LOWER --")
syrk2Test(t, L.Copy(), A, B, LOWER, 4, 2)
t.Logf("-- SYR2K UPPER, TRANSA --")
//t.Logf("A: \n%v\n", A.Transpose())
syrk2Test(t, U.Copy(), A.Transpose(), B.Transpose(), UPPER|TRANSA, 4, 2)
t.Logf("-- SYR2K LOWER, TRANS --")
syrk2Test(t, L.Copy(), A.Transpose(), B.Transpose(), LOWER|TRANSA, 4, 2)
}
// Local Variables:
// tab-width: 4
// indent-tabs-mode: nil
// End: