Esempio n. 1
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        public static void zgemvAX(out System.Numerics.Complex[] Y,
                                   System.Numerics.Complex[] A, int aRow, int aCol, TransposeType aTransposeType,
                                   System.Numerics.Complex[] X)
        {
            if (aCol != X.Length)
            {
                throw new ArgumentException("Mismatched size: aCol != X.Length(" + aCol + " != " + X.Length + ")");
            }

            Y = new System.Numerics.Complex[X.Length];

            byte trans = Trans.FromTransposeType(aTransposeType);
            int  m     = aRow;
            int  n     = aCol;

            System.Numerics.Complex alpha = 1.0;
            int lda  = aRow;
            int incX = 1;

            System.Numerics.Complex beta = 0.0;
            int incY = 1;

            unsafe
            {
                fixed(System.Numerics.Complex *AP = &A[0])
                fixed(System.Numerics.Complex * XP = &X[0])
                fixed(System.Numerics.Complex * YP = &Y[0])
                {
                    IvyFEM.Lapack.ImportedFunctions.zgemv_(&trans, &m, &n, &alpha, AP, &lda,
                                                           XP, &incX, &beta, YP, &incY);
                }
            }
        }
Esempio n. 2
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        public static void dgemvAX(out double[] Y,
                                   double[] A, int aRow, int aCol, TransposeType aTransposeType,
                                   double[] X)
        {
            if (aCol != X.Length)
            {
                throw new ArgumentException("Mismatched size: aCol != X.Length(" + aCol + " != " + X.Length + ")");
            }

            Y = new double[X.Length];

            byte   trans = Trans.FromTransposeType(aTransposeType);
            int    m     = aRow;
            int    n     = aCol;
            double alpha = 1.0;
            int    lda   = aRow;
            int    incX  = 1;
            double beta  = 0.0;
            int    incY  = 1;

            unsafe
            {
                IvyFEM.Lapack.ImportedFunctions.dgemv_(&trans, &m, &n, &alpha, A, &lda,
                                                       X, &incX, &beta, Y, &incY);
            }
        }
Esempio n. 3
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        public static byte FromTransposeType(TransposeType transposeType)
        {
            switch (transposeType)
            {
            case TransposeType.Nop:
                return(Trans.Nop);

            case TransposeType.Transpose:
                return(Trans.Transpose);

            case TransposeType.ComplexTranspose:
                return(Trans.ComplexTranspose);
            }
            return(Trans.Nop);
        }
Esempio n. 4
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        public static void zgbmvAX(out System.Numerics.Complex[] Y,
                                   System.Numerics.Complex[] AB, int aRow, int aCol,
                                   int subdia, int superdia, TransposeType aTransposeType,
                                   System.Numerics.Complex[] X)
        {
            if (aCol != X.Length)
            {
                throw new ArgumentException("Mismatched size: aCol != X.Length(" + aCol + " != " + X.Length + ")");
            }

            Y = new System.Numerics.Complex[X.Length];

            byte trans = Trans.FromTransposeType(aTransposeType);
            int  m     = aRow;
            int  n     = aCol;
            int  kl    = subdia;
            int  ku    = superdia;

            System.Numerics.Complex alpha = 1.0;
            //int lda = kl + ku + 1;
            // LDA must be at least (kl + ku + 1).
            int lda;
            int incX = 1;

            System.Numerics.Complex beta = 0.0;
            int incY = 1;

            // BlasのバンドマトリックスとLapackのバンドマトリックスは違う
            System.Numerics.Complex[] blasAB;
            ComplexBandMatrixLapack2Blas(out blasAB, out lda, AB, m, n, kl, ku);

            unsafe
            {
                fixed(System.Numerics.Complex *blasABP = &blasAB[0])
                fixed(System.Numerics.Complex * XP = &X[0])
                fixed(System.Numerics.Complex * YP = &Y[0])
                {
                    IvyFEM.Lapack.ImportedFunctions.zgbmv_(
                        &trans, &m, &n, &kl, &ku,
                        &alpha, blasABP, &lda,
                        XP, &incX, &beta,
                        YP, &incY);
                }
            }
        }
Esempio n. 5
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        public static int zgemmAB(out System.Numerics.Complex[] C, out int cRow, out int cCol,
                                  System.Numerics.Complex[] A, int aRow, int aCol, TransposeType aTransposeType,
                                  System.Numerics.Complex[] B, int bRow, int bCol, TransposeType bTransposeType)
        {
            if (aCol != bRow)
            {
                throw new ArgumentException("Mismatched size: aCol != bRow(" + aCol + " != " + bRow + ")");
            }

            cRow = aRow;
            cCol = bCol;

            C = new System.Numerics.Complex[cRow * cCol];

            byte transa = Trans.FromTransposeType(aTransposeType);
            byte transb = Trans.FromTransposeType(bTransposeType);
            int  m      = aRow;
            int  n      = bCol;
            int  k      = aCol;

            System.Numerics.Complex alpha = 1.0;

            int lda = aRow;
            int ldb = bRow;

            System.Numerics.Complex beta = 0.0;
            int ldc = aRow;

            unsafe
            {
                fixed(System.Numerics.Complex *AP = &A[0])
                fixed(System.Numerics.Complex * BP = &B[0])
                fixed(System.Numerics.Complex * CP = &C[0])
                {
                    IvyFEM.Lapack.ImportedFunctions.zgemm_(
                        &transa, &transb,
                        &m, &n, &k,
                        &alpha, AP, &lda,
                        BP, &ldb,
                        &beta, CP, &ldc);
                }
            }
            return(0);
        }
Esempio n. 6
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        public static void dgemmAB(out double[] C, out int cRow, out int cCol,
                                   double[]  A, int aRow, int aCol, TransposeType aTransposeType,
                                   double[]  B, int bRow, int bCol, TransposeType bTransposeType)
        {
            if (aCol != bRow)
            {
                throw new ArgumentException("Mismatched size: aCol != bRow(" + aCol + " != " + bRow + ")");
            }

            cRow = aRow;
            cCol = bCol;

            C = new double[cRow * cCol];

            byte transa = Trans.FromTransposeType(aTransposeType);
            byte transb = Trans.FromTransposeType(bTransposeType);

            int m = aRow;
            int n = bCol;
            int k = aCol;

            double alpha = 1.0;

            int lda = aRow;
            int ldb = bRow;

            double beta = 0.0;
            int    ldc  = aRow;

            unsafe
            {
                IvyFEM.Lapack.ImportedFunctions.dgemm_(
                    &transa, &transb,
                    &m, &n, &k,
                    &alpha, A, &lda,
                    B, &ldb,
                    &beta, C, &ldc);
            }
        }
Esempio n. 7
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        public static void dgbmvAX(out double[] Y,
                                   double[] AB, int aRow, int aCol,
                                   int subdia, int superdia, TransposeType aTransposeType,
                                   double[] X)
        {
            if (aCol != X.Length)
            {
                throw new ArgumentException("Mismatched size: aCol != X.Length(" + aCol + " != " + X.Length + ")");
            }

            Y = new double[X.Length];

            byte   trans = Trans.FromTransposeType(aTransposeType);
            int    m     = aRow;
            int    n     = aCol;
            int    kl    = subdia;
            int    ku    = superdia;
            double alpha = 1.0;
            //int lda = kl + ku + 1;
            // LDA must be at least (kl + ku + 1).
            int    lda;
            int    incX = 1;
            double beta = 0.0;
            int    incY = 1;

            // BlasのバンドマトリックスとLapackのバンドマトリックスは違う
            double[] blasAB;
            DoubleBandMatrixLapack2Blas(out blasAB, out lda, AB, m, n, kl, ku);

            unsafe
            {
                IvyFEM.Lapack.ImportedFunctions.dgbmv_(
                    &trans, &m, &n, &kl, &ku,
                    &alpha, blasAB, &lda,
                    X, &incX,
                    &beta, Y, &incY);
            }
        }
Esempio n. 8
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 public void Transpose(TransposeType type)
 {
     PianoLibrary.PianoKey.KeyTypes keyType;
     if(Enum.TryParse<PianoLibrary.PianoKey.KeyTypes>(Chord,out keyType))
     {
         if (type == TransposeType.Up)
         {
             keyType = PianoKey.NextKey(keyType);
         }
         else
         {
             keyType = PianoKey.PrevKey(keyType);
         }
     }
 }