Exemple #1
0
// Copies a vector X to a vector Y (Y := X).
//
// ARGUMENTS
//  X         float or complex matrix
//  Y         float or complex matrix.  Must have the same type as X.
//
// OPTIONS
//  n         integer.  If n<0, the default value of n is used.
//            The default value is given by 1+(len(x)-offsetx-1)/incx or 0
//            if len(x) > offsetx+1
//  incx      nonzero integer
//  incy      nonzero integer
//  offsetx   nonnegative integer
//  offsety   nonnegative integer;
//
func Copy(X, Y matrix.Matrix, opts ...linalg.Option) (err error) {
	ind := linalg.GetIndexOpts(opts...)
	err = check_level1_func(ind, fcopy, X, Y)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return
	}
	sameType := matrix.EqualTypes(X, Y)
	if !sameType {
		err = onError("arrays not same type")
		return
	}
	switch X.(type) {
	case *matrix.ComplexMatrix:
		Xa := X.(*matrix.ComplexMatrix).ComplexArray()
		Ya := Y.(*matrix.ComplexMatrix).ComplexArray()
		zcopy(ind.Nx, Xa[ind.OffsetX:], ind.IncX, Ya[ind.OffsetY:], ind.IncY)
	case *matrix.FloatMatrix:
		Xa := X.(*matrix.FloatMatrix).FloatArray()
		Ya := Y.(*matrix.FloatMatrix).FloatArray()
		dcopy(ind.Nx, Xa[ind.OffsetX:], ind.IncX, Ya[ind.OffsetY:], ind.IncY)
	default:
		err = onError("not implemented for parameter types")
	}
	return
}
Exemple #2
0
// Scales a vector by a constant (X := alpha*X).
//
// ARGUMENTS
//  X         float or complex matrix
//  alpha     number (float or complex singleton matrix).  Complex alpha is only
//            allowed if X is complex.
//
// OPTIONS
//  n         integer.  If n<0, the default value of n is used.
//            The default value is equal to 1+(len(x)-offset-1)/inc or 0
//            if len(x) > offset+1.
//  inc       positive integer, default = 1
//  offset    nonnegative integer, default = 0
//
func Scal(X matrix.Matrix, alpha matrix.Scalar, opts ...linalg.Option) (err error) {
	ind := linalg.GetIndexOpts(opts...)
	err = check_level1_func(ind, fscal, X, nil)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return
	}
	switch X.(type) {
	case *matrix.ComplexMatrix:
		Xa := X.(*matrix.ComplexMatrix).ComplexArray()
		cval := alpha.Complex()
		zscal(ind.Nx, cval, Xa[ind.OffsetX:], ind.IncX)
	case *matrix.FloatMatrix:
		Xa := X.(*matrix.FloatMatrix).FloatArray()
		rval := alpha.Float()
		if math.IsNaN(rval) {
			return onError("alpha not float value")
		}
		dscal(ind.Nx, rval, Xa[ind.OffsetX:], ind.IncX)
	default:
		err = onError("not implemented for parameter types")
	}
	return
}
Exemple #3
0
// Returns Y = X^H*Y for real or complex X, Y.
//
// ARGUMENTS
//  X         float or complex matrix
//  Y         float or complex matrix.  Must have the same type as X.
//
// OPTIONS
//  n         integer.  If n<0, the default value of n is used.
//            The default value is equal to nx = 1+(len(x)-offsetx-1)/incx or 0 if
//            len(x) > offsetx+1.  If the default value is used, it must be equal to
//            ny = 1+(len(y)-offsetx-1)/|incy| or 0 if len(y) > offsety+1
//  incx      nonzero integer [default=1]
//  incy      nonzero integer [default=1]
//  offsetx   nonnegative integer [default=0]
//  offsety   nonnegative integer [default=0]
//
func Dot(X, Y matrix.Matrix, opts ...linalg.Option) (v matrix.Scalar) {
	v = matrix.FScalar(math.NaN())
	//cv = cmplx.NaN()
	ind := linalg.GetIndexOpts(opts...)
	err := check_level1_func(ind, fdot, X, Y)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return matrix.FScalar(0.0)
	}
	sameType := matrix.EqualTypes(X, Y)
	if !sameType {
		err = onError("arrays not of same type")
		return
	}
	switch X.(type) {
	case *matrix.ComplexMatrix:
		Xa := X.(*matrix.ComplexMatrix).ComplexArray()
		Ya := Y.(*matrix.ComplexMatrix).ComplexArray()
		v = matrix.CScalar(zdotc(ind.Nx, Xa[ind.OffsetX:], ind.IncX, Ya[ind.OffsetY:], ind.IncY))
	case *matrix.FloatMatrix:
		Xa := X.(*matrix.FloatMatrix).FloatArray()
		Ya := Y.(*matrix.FloatMatrix).FloatArray()
		v = matrix.FScalar(ddot(ind.Nx, Xa[ind.OffsetX:], ind.IncX, Ya[ind.OffsetY:], ind.IncY))
		//default:
		//	err = onError("not implemented for parameter types", )
	}
	return
}
Exemple #4
0
func GesvdFloat(A, S, U, Vt *matrix.FloatMatrix, opts ...linalg.Option) error {
	pars, err := linalg.GetParameters(opts...)
	if err != nil {
		return err
	}
	ind := linalg.GetIndexOpts(opts...)
	err = checkGesvd(ind, pars, A, S, U, Vt)
	if err != nil {
		return err
	}
	if ind.M == 0 || ind.N == 0 {
		return nil
	}
	Aa := A.FloatArray()
	Sa := S.FloatArray()
	var Ua, Va []float64
	Ua = nil
	Va = nil
	if U != nil {
		Ua = U.FloatArray()[ind.OffsetU:]
	}
	if Vt != nil {
		Va = Vt.FloatArray()[ind.OffsetVt:]
	}
	info := dgesvd(linalg.ParamString(pars.Jobu), linalg.ParamString(pars.Jobvt),
		ind.M, ind.N, Aa[ind.OffsetA:], ind.LDa, Sa[ind.OffsetS:], Ua, ind.LDu, Va, ind.LDvt)
	if info != 0 {
		return onError(fmt.Sprintf("GesvdFloat lapack error: %d", info))
	}
	return nil
}
Exemple #5
0
func GbtrsFloat(A, B *matrix.FloatMatrix, ipiv []int32, KL int, opts ...linalg.Option) error {
	pars, err := linalg.GetParameters(opts...)
	if err != nil {
		return err
	}
	ind := linalg.GetIndexOpts(opts...)

	ind.Kl = KL
	err = checkGbtrs(ind, A, B, ipiv)
	if err != nil {
		return err
	}
	if ind.N == 0 || ind.Nrhs == 0 {
		return nil
	}
	Aa := A.FloatArray()
	Ba := B.FloatArray()
	trans := linalg.ParamString(pars.Trans)
	info := dgbtrs(trans, ind.N, ind.Kl, ind.Ku, ind.Nrhs,
		Aa[ind.OffsetA:], ind.LDa, ipiv, Ba[ind.OffsetB:], ind.LDb)
	if info != 0 {
		return onError(fmt.Sprintf("Gbtrs: lapack error: %d", info))
	}
	return nil
}
Exemple #6
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// See function Trsm.
func TrsmFloat(A, B *matrix.FloatMatrix, alpha float64, opts ...linalg.Option) (err error) {

	params, e := linalg.GetParameters(opts...)
	if e != nil {
		err = e
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level3_func(ind, ftrsm, A, B, nil, params)
	if err != nil {
		return
	}
	if ind.N == 0 || ind.M == 0 {
		return
	}
	Aa := A.FloatArray()
	Ba := B.FloatArray()
	uplo := linalg.ParamString(params.Uplo)
	transA := linalg.ParamString(params.TransA)
	side := linalg.ParamString(params.Side)
	diag := linalg.ParamString(params.Diag)
	dtrsm(side, uplo, transA, diag, ind.M, ind.N, alpha,
		Aa[ind.OffsetA:], ind.LDa, Ba[ind.OffsetB:], ind.LDb)
	return
}
Exemple #7
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// See function Gemm.
func GemmFloat(A, B, C *matrix.FloatMatrix, alpha, beta float64, opts ...linalg.Option) (err error) {

	params, e := linalg.GetParameters(opts...)
	if e != nil {
		err = e
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level3_func(ind, fgemm, A, B, C, params)
	if err != nil {
		return
	}
	if ind.M == 0 || ind.N == 0 {
		return
	}
	Aa := A.FloatArray()
	Ba := B.FloatArray()
	Ca := C.FloatArray()
	transB := linalg.ParamString(params.TransB)
	transA := linalg.ParamString(params.TransA)
	//diag := linalg.ParamString(params.Diag)
	dgemm(transA, transB, ind.M, ind.N, ind.K, alpha,
		Aa[ind.OffsetA:], ind.LDa, Ba[ind.OffsetB:], ind.LDb, beta,
		Ca[ind.OffsetC:], ind.LDc)
	return
}
Exemple #8
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// See function Symm.
func SymmFloat(A, B, C *matrix.FloatMatrix, alpha, beta float64, opts ...linalg.Option) (err error) {

	params, e := linalg.GetParameters(opts...)
	if e != nil {
		err = e
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level3_func(ind, fsymm, A, B, C, params)
	if err != nil {
		return
	}
	if ind.M == 0 || ind.N == 0 {
		return
	}
	Aa := A.FloatArray()
	Ba := B.FloatArray()
	Ca := C.FloatArray()
	uplo := linalg.ParamString(params.Uplo)
	side := linalg.ParamString(params.Side)
	dsymm(side, uplo, ind.M, ind.N, alpha, Aa[ind.OffsetA:], ind.LDa,
		Ba[ind.OffsetB:], ind.LDb, beta, Ca[ind.OffsetC:], ind.LDc)

	return
}
Exemple #9
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// See function Gbmv.
func GbmvFloat(A, X, Y *matrix.FloatMatrix, alpha, beta float64, opts ...linalg.Option) (err error) {

	var params *linalg.Parameters
	params, err = linalg.GetParameters(opts...)
	if err != nil {
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level2_func(ind, fgbmv, X, Y, A, params)
	if err != nil {
		return
	}
	if ind.M == 0 && ind.N == 0 {
		return
	}

	Xa := X.FloatArray()
	Ya := Y.FloatArray()
	Aa := A.FloatArray()
	if params.Trans == linalg.PNoTrans && ind.N == 0 {
		dscal(ind.M, beta, Ya[ind.OffsetY:], ind.IncY)
	} else if params.Trans == linalg.PTrans && ind.M == 0 {
		dscal(ind.N, beta, Ya[ind.OffsetY:], ind.IncY)
	} else {
		trans := linalg.ParamString(params.Trans)
		dgbmv(trans, ind.M, ind.N, ind.Kl, ind.Ku,
			alpha, Aa[ind.OffsetA:], ind.LDa, Xa[ind.OffsetX:], ind.IncX,
			beta, Ya[ind.OffsetY:], ind.IncY)
	}
	return
}
Exemple #10
0
// See function Syrk2.
func Syr2kFloat(A, B, C *matrix.FloatMatrix, alpha, beta float64, opts ...linalg.Option) (err error) {

	params, e := linalg.GetParameters(opts...)
	if e != nil {
		err = e
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level3_func(ind, fsyr2k, A, B, C, params)
	if err != nil {
		return
	}
	if ind.N == 0 {
		return
	}
	Aa := A.FloatArray()
	Ba := B.FloatArray()
	Ca := C.FloatArray()
	uplo := linalg.ParamString(params.Uplo)
	trans := linalg.ParamString(params.Trans)
	//diag := linalg.ParamString(params.Diag)
	dsyr2k(uplo, trans, ind.N, ind.K, alpha, Aa[ind.OffsetA:], ind.LDa,
		Ba[ind.OffsetB:], ind.LDb, beta, Ca[ind.OffsetC:], ind.LDc)
	return
}
Exemple #11
0
/*
 General matrix-matrix product. (L3)

 PURPOSE
 Computes
  C := alpha*A*B + beta*C     if transA = PNoTrans   and transB = PNoTrans.
  C := alpha*A^T*B + beta*C   if transA = PTrans     and transB = PNoTrans.
  C := alpha*A^H*B + beta*C   if transA = PConjTrans and transB = PNoTrans.
  C := alpha*A*B^T + beta*C   if transA = PNoTrans   and transB = PTrans.
  C := alpha*A^T*B^T + beta*C if transA = PTrans     and transB = PTrans.
  C := alpha*A^H*B^T + beta*C if transA = PConjTrans and transB = PTrans.
  C := alpha*A*B^H + beta*C   if transA = PNoTrans   and transB = PConjTrans.
  C := alpha*A^T*B^H + beta*C if transA = PTrans     and transB = PConjTrans.
  C := alpha*A^H*B^H + beta*C if transA = PConjTrans and transB = PConjTrans.

 The number of rows of the matrix product is m.  The number of  columns is n.
 The inner dimension is k.  If k=0, this reduces  to C := beta*C.

 ARGUMENTS
  A         float or complex matrix, m*k
  B         float or complex matrix, k*n
  C         float or complex matrix, m*n
  alpha     number (float or complex singleton matrix)
  beta      number (float or complex singleton matrix)

 OPTIONS
  transA    PNoTrans, PTrans or PConjTrans
  transB    PNoTrans, PTrans or PConjTrans
  m         integer.  If negative, the default value is used. The default value is
            m = A.Rows of if transA != PNoTrans m = A.Cols.
  n         integer.  If negative, the default value is used. The default value is
            n = (transB == PNoTrans) ? B.Cols : B.Rows.
  k         integer.  If negative, the default value is used. The default value is
            k=A.Cols or if transA != PNoTrans) k = A.Rows, transA=PNoTrans.
            If the default value is used it should also be equal to
            (transB == PNoTrans) ? B.Rows : B.Cols.
  ldA       nonnegative integer.  ldA >= max(1,m) of if transA != NoTrans max(1,k).
            If zero, the default value is used.
  ldB       nonnegative integer.  ldB >= max(1,k) or if transB != NoTrans max(1,n).
            If zero, the default value is used.
  ldC       nonnegative integer.  ldC >= max(1,m).
            If zero, the default value is used.
  offsetA   nonnegative integer
  offsetB   nonnegative integer
  offsetC   nonnegative integer;
*/
func Gemm(A, B, C matrix.Matrix, alpha, beta matrix.Scalar, opts ...linalg.Option) (err error) {

	params, e := linalg.GetParameters(opts...)
	if e != nil {
		err = e
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level3_func(ind, fgemm, A, B, C, params)
	if err != nil {
		return
	}
	if ind.M == 0 || ind.N == 0 {
		return
	}
	if !matrix.EqualTypes(A, B, C) {
		return onError("Parameters not of same type")
	}
	switch A.(type) {
	case *matrix.FloatMatrix:
		Aa := A.(*matrix.FloatMatrix).FloatArray()
		Ba := B.(*matrix.FloatMatrix).FloatArray()
		Ca := C.(*matrix.FloatMatrix).FloatArray()
		aval := alpha.Float()
		bval := beta.Float()
		if math.IsNaN(aval) || math.IsNaN(bval) {
			return onError("alpha or beta not a number")
		}
		transB := linalg.ParamString(params.TransB)
		transA := linalg.ParamString(params.TransA)
		dgemm(transA, transB, ind.M, ind.N, ind.K, aval,
			Aa[ind.OffsetA:], ind.LDa, Ba[ind.OffsetB:], ind.LDb, bval,
			Ca[ind.OffsetC:], ind.LDc)

	case *matrix.ComplexMatrix:
		Aa := A.(*matrix.ComplexMatrix).ComplexArray()
		Ba := B.(*matrix.ComplexMatrix).ComplexArray()
		Ca := C.(*matrix.ComplexMatrix).ComplexArray()
		aval := alpha.Complex()
		if cmplx.IsNaN(aval) {
			return onError("alpha not a number")
		}
		bval := beta.Complex()
		if cmplx.IsNaN(bval) {
			return onError("beta not a number")
		}
		transB := linalg.ParamString(params.TransB)
		transA := linalg.ParamString(params.TransA)
		zgemm(transA, transB, ind.M, ind.N, ind.K, aval,
			Aa[ind.OffsetA:], ind.LDa, Ba[ind.OffsetB:], ind.LDb, bval,
			Ca[ind.OffsetC:], ind.LDc)
	default:
		return onError("Unknown type, not implemented")
	}
	return
}
Exemple #12
0
/*
 LU factorization of a real or complex tridiagonal matrix.

 PURPOSE

 Factors an n by n real or complex tridiagonal matrix A as A = P*L*U.

 A is specified by its lower diagonal dl, diagonal d, and upper
 diagonal du.  On exit dl, d, du, du2 and ipiv contain the details
 of the factorization.

 ARGUMENTS.
  DL        float or complex matrix
  D         float or complex matrix.  Must have the same type as DL.
  DU        float or complex matrix.  Must have the same type as DL.
  DU2       float or complex matrix of length at least n-2.  Must have the
            same type as DL.
  ipiv      int vector of length at least n

 OPTIONS
  n         nonnegative integer.  If negative, the default value is used.
  offsetdl  nonnegative integer
  offsetd   nonnegative integer
  offsetdu  nonnegative integer
*/
func Gtrrf(DL, D, DU, DU2 matrix.Matrix, ipiv []int32, opts ...linalg.Option) error {
	ind := linalg.GetIndexOpts(opts...)
	if ind.OffsetD < 0 {
		return onError("Gttrf: offset D")
	}
	if ind.N < 0 {
		ind.N = D.NumElements() - ind.OffsetD
	}
	if ind.N < 0 {
		return onError("Gttrf: size D")
	}
	if ind.N == 0 {
		return nil
	}
	if ind.OffsetDL < 0 {
		return onError("Gttrf: offset DL")
	}
	sizeDL := DL.NumElements()
	if sizeDL < ind.OffsetDL+ind.N-1 {
		return onError("Gttrf: sizeDL")
	}
	if ind.OffsetDU < 0 {
		return onError("Gttrf: offset DU")
	}
	sizeDU := DU.NumElements()
	if sizeDU < ind.OffsetDU+ind.N-1 {
		return onError("Gttrf: sizeDU")
	}
	sizeDU2 := DU2.NumElements()
	if sizeDU2 < ind.N-2 {
		return onError("Gttrf: sizeDU2")
	}
	if len(ipiv) < ind.N {
		return onError("Gttrf: size ipiv")
	}
	info := -1
	if !matrix.EqualTypes(DL, D, DU, DU2) {
		return onError("Gttrf: arguments not same type")
	}
	switch DL.(type) {
	case *matrix.FloatMatrix:
		DLa := DL.(*matrix.FloatMatrix).FloatArray()
		Da := D.(*matrix.FloatMatrix).FloatArray()
		DUa := DU.(*matrix.FloatMatrix).FloatArray()
		DU2a := DU2.(*matrix.FloatMatrix).FloatArray()
		info = dgttrf(ind.N, DLa[ind.OffsetDL:], Da[ind.OffsetD:], DUa[ind.OffsetDU:],
			DU2a, ipiv)
	case *matrix.ComplexMatrix:
		return onError("Gttrf: complex not yet implemented")
	}
	if info != 0 {
		return onError(fmt.Sprintf("Gttrf lapack error: %d", info))
	}
	return nil
}
Exemple #13
0
/*
 Solves a general real or complex set of linear equations.

 PURPOSE

 Solves A*X=B with A m by n real or complex.

 ARGUMENTS.
  A         float or complex matrix
  B         float or complex matrix.  Must have the same type as A.

 OPTIONS:
  trans
  m         nonnegative integer.  If negative, the default value is used.
  n         nonnegative integer.  If negative, the default value is used.
  nrhs      nonnegative integer.  If negative, the default value is used.
  ldA       positive integer.  ldA >= max(1,n).  If zero, the default value is used.
  ldB       positive integer.  ldB >= max(1,n).  If zero, the default value is used.
*/
func Gels(A, B matrix.Matrix, opts ...linalg.Option) error {
	pars, _ := linalg.GetParameters(opts...)
	ind := linalg.GetIndexOpts(opts...)
	arows := ind.LDa
	brows := ind.LDb
	if ind.M < 0 {
		ind.M = A.Rows()
	}
	if ind.N < 0 {
		ind.N = A.Cols()
	}
	if ind.Nrhs < 0 {
		ind.Nrhs = B.Cols()
	}
	if ind.M == 0 || ind.N == 0 || ind.Nrhs == 0 {
		return nil
	}
	if ind.LDa == 0 {
		ind.LDa = max(1, A.LeadingIndex())
		arows = max(1, A.Rows())
	}
	if ind.LDa < max(1, ind.M) {
		return onError("Gesv: ldA")
	}
	if ind.LDb == 0 {
		ind.LDb = max(1, B.LeadingIndex())
		brows = max(1, B.Rows())
	}
	if ind.LDb < max(ind.M, ind.N) {
		return onError("Gesv: ldB")
	}
	if !matrix.EqualTypes(A, B) {
		return onError("Gesv: arguments not of same type")
	}
	_, _ = arows, brows // todo!! something
	info := -1
	trans := linalg.ParamString(pars.Trans)
	switch A.(type) {
	case *matrix.FloatMatrix:
		Aa := A.(*matrix.FloatMatrix).FloatArray()
		Ba := B.(*matrix.FloatMatrix).FloatArray()
		info = dgels(trans, ind.M, ind.N, ind.Nrhs, Aa[ind.OffsetA:], ind.LDa,
			Ba[ind.OffsetB:], ind.LDb)
	case *matrix.ComplexMatrix:
		Aa := A.(*matrix.ComplexMatrix).ComplexArray()
		Ba := B.(*matrix.ComplexMatrix).ComplexArray()
		info = zgels(trans, ind.M, ind.N, ind.Nrhs, Aa[ind.OffsetA:], ind.LDa,
			Ba[ind.OffsetB:], ind.LDb)
	}
	if info != 0 {
		return onError(fmt.Sprintf("Gels: lapack error: %d", info))
	}
	return nil
}
Exemple #14
0
func GbsvComplex(A, B *matrix.ComplexMatrix, ipiv []int32, kl int, opts ...linalg.Option) error {
	ind := linalg.GetIndexOpts(opts...)
	ind.Kl = kl
	err := checkGbsv(ind, A, B, ipiv)
	if err != nil {
		return err
	}
	if ind.N == 0 || ind.Nrhs == 0 {
		return nil
	}
	return onError("Gbsv: complex not implemented yet")
}
Exemple #15
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// See function Scal.
func ScalFloat(X *matrix.FloatMatrix, alpha float64, opts ...linalg.Option) (err error) {
	ind := linalg.GetIndexOpts(opts...)
	err = check_level1_func(ind, fscal, X, nil)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return
	}
	Xa := X.FloatArray()
	dscal(ind.Nx, alpha, Xa[ind.OffsetX:], ind.IncX)
	return
}
Exemple #16
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// See function Copy.
func CopyFloat(X, Y *matrix.FloatMatrix, opts ...linalg.Option) (err error) {
	ind := linalg.GetIndexOpts(opts...)
	err = check_level1_func(ind, fcopy, X, Y)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return
	}
	Xa := X.FloatArray()
	Ya := Y.FloatArray()
	dcopy(ind.Nx, Xa[ind.OffsetX:], ind.IncX, Ya[ind.OffsetY:], ind.IncY)
	return
}
Exemple #17
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// See function Asum.
func AsumComplex(X *matrix.ComplexMatrix, opts ...linalg.Option) (v float64, err error) {
	v = 0.0
	ind := linalg.GetIndexOpts(opts...)
	err = check_level1_func(ind, fasum, X, nil)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return
	}
	Xa := X.ComplexArray()
	v = dzasum(ind.Nx, Xa[ind.OffsetX:], ind.IncX)
	return
}
Exemple #18
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/*
 Rank-k update of symmetric matrix. (L3)

 Herk(A, C, alpha, beta, uplo=PLower, trans=PNoTrans,  n=-1,
 k=-1, ldA=max(1,A.Rows), ldC=max(1,C.Rows), offsetA=0, offsetB=0)

 Computes
  C := alpha*A*A^T + beta*C, if trans is PNoTrans
  C := alpha*A^T*A + beta*C, if trans is PTrans

 C is symmetric (real or complex) of order n. The inner dimension of the matrix
 product is k.  If k=0 this is interpreted as C := beta*C.

 ARGUMENTS
  A         float or complex matrix.
  C         float or complex matrix.  Must have the same type as A.
  alpha     number (float or complex singleton matrix).  Complex alpha is only
            allowed if A is complex.
  beta      number (float or complex singleton matrix).  Complex beta is only
            allowed if A is complex.

 OPTIONS
  uplo      PLower or PUpper
  trans     PNoTrans or PTrans
  n         integer.  If negative, the default value is used.
            The default value is n = A.Rows or if trans == PNoTrans n = A.Cols.
  k         integer.  If negative, the default value is used.
            The default value is k =  A.Cols, or if trans == PNoTrans k = A.Rows.
  ldA       nonnegative integer.
            ldA >= max(1,n) or if trans != PNoTrans ldA >= max(1,k).
            If zero, the default value is used.
  ldC       nonnegative integer.  ldC >= max(1,n).
            If zero, the default value is used.
  offsetA   nonnegative integer
  offsetC   nonnegative integer;
*/
func Herk(A, C matrix.Matrix, alpha, beta matrix.Scalar, opts ...linalg.Option) (err error) {

	params, e := linalg.GetParameters(opts...)
	if e != nil {
		err = e
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level3_func(ind, fsyrk, A, nil, C, params)
	if e != nil || err != nil {
		return
	}
	if !matrix.EqualTypes(A, C) {
		return onError("Parameters not of same type")
	}
	switch A.(type) {
	case *matrix.FloatMatrix:
		Aa := A.(*matrix.FloatMatrix).FloatArray()
		Ca := C.(*matrix.FloatMatrix).FloatArray()
		aval := alpha.Float()
		bval := beta.Float()
		if math.IsNaN(aval) || math.IsNaN(bval) {
			return onError("alpha or beta not a number")
		}
		uplo := linalg.ParamString(params.Uplo)
		trans := linalg.ParamString(params.Trans)
		dsyrk(uplo, trans, ind.N, ind.K, aval, Aa[ind.OffsetA:], ind.LDa, bval,
			Ca[ind.OffsetC:], ind.LDc)
	case *matrix.ComplexMatrix:
		Aa := A.(*matrix.ComplexMatrix).ComplexArray()
		Ca := C.(*matrix.ComplexMatrix).ComplexArray()
		aval := alpha.Complex()
		if cmplx.IsNaN(aval) {
			return onError("alpha not a real or complex number")
		}
		bval := beta.Float()
		if math.IsNaN(bval) {
			return onError("beta not a real number")
		}
		uplo := linalg.ParamString(params.Uplo)
		trans := linalg.ParamString(params.Trans)
		zherk(uplo, trans, ind.N, ind.K, aval, Aa[ind.OffsetA:], ind.LDa, bval,
			Ca[ind.OffsetC:], ind.LDc)
	default:
		return onError("Unknown type, not implemented")
	}

	return
}
Exemple #19
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// See function Asum.
func AsumFloat(X *matrix.FloatMatrix, opts ...linalg.Option) (v float64) {
	v = math.NaN()
	ind := linalg.GetIndexOpts(opts...)
	err := check_level1_func(ind, fasum, X, nil)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		v = 0.0
		return
	}
	Xa := X.FloatArray()
	v = dasum(ind.Nx, Xa[ind.OffsetX:], ind.IncX)
	return
}
Exemple #20
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// See function Dotc.
func DotcComplex(X, Y *matrix.ComplexMatrix, opts ...linalg.Option) (v complex128, err error) {
	v = 0.0
	ind := linalg.GetIndexOpts(opts...)
	err = check_level1_func(ind, fdot, X, Y)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return
	}
	Xa := X.ComplexArray()
	Ya := Y.ComplexArray()
	v = zdotc(ind.Nx, Xa[ind.OffsetX:], ind.IncX, Ya[ind.OffsetY:], ind.IncY)
	return
}
Exemple #21
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func GesvdComplex(A, S, U, Vt *matrix.ComplexMatrix, opts ...linalg.Option) error {
	pars, err := linalg.GetParameters(opts...)
	if err != nil {
		return err
	}
	ind := linalg.GetIndexOpts(opts...)
	err = checkGesvd(ind, pars, A, S, U, Vt)
	if err != nil {
		return err
	}
	if ind.M == 0 || ind.N == 0 {
		return nil
	}
	return onError("GesvdComplex not implemented yet")
}
Exemple #22
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// See functin Dot.
func DotFloat(X, Y *matrix.FloatMatrix, opts ...linalg.Option) (v float64) {
	v = math.NaN()
	ind := linalg.GetIndexOpts(opts...)
	err := check_level1_func(ind, fdot, X, Y)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		v = 0.0
		return
	}
	Xa := X.FloatArray()
	Ya := Y.FloatArray()
	v = ddot(ind.Nx, Xa[ind.OffsetX:], ind.IncX, Ya[ind.OffsetY:], ind.IncY)
	return
}
Exemple #23
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/*
 Solution of a triangular system of equations with multiple righthand sides. (L3)

 Trsm(A, B, alpha, side=PLeft, uplo=PLower, transA=PNoTrans, diag=PNonUnit,
 m=-1, n=-1, ldA=max(1,A.Rows), ldB=max(1,B.Rows), offsetA=0, offsetB=0)

 Computes
  B := alpha*A^{-1}*B if transA is PNoTrans   and side = PLeft
  B := alpha*B*A^{-1} if transA is PNoTrans   and side = PRight
  B := alpha*A^{-T}*B if transA is PTrans     and side = PLeft
  B := alpha*B*A^{-T} if transA is PTrans     and side = PRight
  B := alpha*A^{-H}*B if transA is PConjTrans and side = PLeft
  B := alpha*B*A^{-H} if transA is PConjTrans and side = PRight

 B is m by n and A is triangular.  The code does not verify whether A is nonsingular.

 ARGUMENTS
  A         float or complex matrix.
  B         float or complex matrix.  Must have the same type as A.
  alpha     number (float or complex).  Complex alpha is only
            allowed if A is complex.

 OPTIONS
  side      PLeft or PRight
  uplo      PLower or PUpper
  transA    PNoTrans or PTrans
  diag      PNonUnit or PUnit
  m         integer.  If negative, the default value is used.
            The default value is m = A.Rows or if side == PRight m = B.Rows
            If the default value is used and side is PLeft, m must be equal to A.Cols.
  n         integer.  If negative, the default value is used.
            The default value is n = B.Cols or if side )= PRight n = A.Rows.
            If the default value is used and side is PRight, n must be equal to A.Cols.
  ldA       nonnegative integer.
            ldA >= max(1,m) of if  side == PRight lda >= max(1,n).
            If zero, the default value is used.
  ldB       nonnegative integer.  ldB >= max(1,m).
            If zero, the default value is used.
  offsetA   nonnegative integer
  offsetB   nonnegative integer
*/
func Trsm(A, B matrix.Matrix, alpha matrix.Scalar, opts ...linalg.Option) (err error) {

	params, e := linalg.GetParameters(opts...)
	if e != nil {
		err = e
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level3_func(ind, ftrsm, A, B, nil, params)
	if err != nil {
		return
	}
	if !matrix.EqualTypes(A, B) {
		return onError("Parameters not of same type")
	}
	switch A.(type) {
	case *matrix.FloatMatrix:
		Aa := A.(*matrix.FloatMatrix).FloatArray()
		Ba := B.(*matrix.FloatMatrix).FloatArray()
		aval := alpha.Float()
		if math.IsNaN(aval) {
			return onError("alpha or beta not a number")
		}
		uplo := linalg.ParamString(params.Uplo)
		transA := linalg.ParamString(params.TransA)
		side := linalg.ParamString(params.Side)
		diag := linalg.ParamString(params.Diag)
		dtrsm(side, uplo, transA, diag, ind.M, ind.N, aval,
			Aa[ind.OffsetA:], ind.LDa, Ba[ind.OffsetB:], ind.LDb)
	case *matrix.ComplexMatrix:
		Aa := A.(*matrix.ComplexMatrix).ComplexArray()
		Ba := B.(*matrix.ComplexMatrix).ComplexArray()
		aval := alpha.Complex()
		if cmplx.IsNaN(aval) {
			return onError("alpha  not a number")
		}
		uplo := linalg.ParamString(params.Uplo)
		transA := linalg.ParamString(params.TransA)
		side := linalg.ParamString(params.Side)
		diag := linalg.ParamString(params.Diag)
		ztrsm(side, uplo, transA, diag, ind.M, ind.N, aval,
			Aa[ind.OffsetA:], ind.LDa, Ba[ind.OffsetB:], ind.LDb)
	default:
		return onError("Unknown type, not implemented")
	}
	return
}
Exemple #24
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/*
 QR factorization.

 PURPOSE

 QR factorization of an m by n real or complex matrix A:

  A = Q*R = [Q1 Q2] * [R1; 0] if m >= n
  A = Q*R = Q * [R1 R2]       if m <= n,

 where Q is m by m and orthogonal/unitary and R is m by n with R1
 upper triangular.  On exit, R is stored in the upper triangular
 part of A.  Q is stored as a product of k=min(m,n) elementary
 reflectors.  The parameters of the reflectors are stored in the
 first k entries of tau and in the lower triangular part of the
 first k columns of A.

 ARGUMENTS
  A         float or complex matrix
  tau       float or complex  matrix of length at least min(m,n).  Must
            have the same type as A.
  m         integer.  If negative, the default value is used.
  n         integer.  If negative, the default value is used.
  ldA       nonnegative integer.  ldA >= max(1,m).  If zero, the
            default value is used.
  offsetA   nonnegative integer

*/
func Geqrf(A, tau matrix.Matrix, opts ...linalg.Option) error {
	ind := linalg.GetIndexOpts(opts...)
	arows := ind.LDa
	if ind.N < 0 {
		ind.N = A.Cols()
	}
	if ind.M < 0 {
		ind.M = A.Rows()
	}
	if ind.N == 0 || ind.M == 0 {
		return nil
	}
	if ind.LDa == 0 {
		ind.LDa = max(1, A.LeadingIndex())
		arows = max(1, A.Rows())
	}
	if ind.LDa < max(1, ind.M) {
		return onError("Geqrf: ldA")
	}
	if ind.OffsetA < 0 {
		return onError("Geqrf: offsetA")
	}
	if A.NumElements() < ind.OffsetA+ind.K*arows {
		return onError("Geqrf: sizeA")
	}
	if tau.NumElements() < min(ind.M, ind.N) {
		return onError("Geqrf: sizeTau")
	}
	if !matrix.EqualTypes(A, tau) {
		return onError("Geqrf: arguments not of same type")
	}
	info := -1
	switch A.(type) {
	case *matrix.FloatMatrix:
		Aa := A.(*matrix.FloatMatrix).FloatArray()
		taua := tau.(*matrix.FloatMatrix).FloatArray()
		info = dgeqrf(ind.M, ind.N, Aa[ind.OffsetA:], ind.LDa, taua)
	case *matrix.ComplexMatrix:
		return onError("Geqrf: complex not yet implemented")
	}
	if info != 0 {
		return onError(fmt.Sprintf("Geqrf lapack error: %d", info))
	}
	return nil
}
Exemple #25
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func PotrfFloat(A *matrix.FloatMatrix, opts ...linalg.Option) error {
	pars, err := linalg.GetParameters(opts...)
	if err != nil {
		return err
	}
	ind := linalg.GetIndexOpts(opts...)
	err = checkPotrf(ind, A)
	if ind.N == 0 {
		return nil
	}
	Aa := A.FloatArray()
	uplo := linalg.ParamString(pars.Uplo)
	info := dpotrf(uplo, ind.N, Aa[ind.OffsetA:], ind.LDa)
	if info != 0 {
		return onError(fmt.Sprintf("Potrf: lapack error %d", info))
	}
	return nil
}
Exemple #26
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func GbtrfFloat(A *matrix.FloatMatrix, ipiv []int32, M, KL int, opts ...linalg.Option) error {
	ind := linalg.GetIndexOpts(opts...)
	ind.M = M
	ind.Kl = KL
	err := checkGbtrf(ind, A, ipiv)
	if err != nil {
		return err
	}
	if ind.M == 0 || ind.N == 0 {
		return nil
	}
	Aa := A.FloatArray()
	info := dgbtrf(ind.M, ind.N, ind.Kl, ind.Ku, Aa[ind.OffsetA:], ind.LDa, ipiv)
	if info != 0 {
		return onError(fmt.Sprintf("Gbtrf lapack error: %d", info))
	}
	return nil
}
Exemple #27
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/*
 LU factorization of a general real or complex m by n matrix.

 PURPOSE

 On exit, A is replaced with L, U in the factorization P*A = L*U
 and ipiv contains the permutation:
 P = P_min{m,n} * ... * P2 * P1 where Pi interchanges rows i and
 ipiv[i] of A (using the Fortran convention, i.e., the first row
 is numbered 1).

 ARGUMENTS
  A         float or complex matrix
  ipiv      int vector of length at least min(m,n)

 OPTIONS
  m         nonnegative integer.  If negative, the default value is used.
  n         nonnegative integer.  If negative, the default value is used.
  ldA       positive integer.  ldA >= max(1,m).  If zero, the default
            value is used.
  offsetA   nonnegative integer

*/
func Getrf(A matrix.Matrix, ipiv []int32, opts ...linalg.Option) error {
	ind := linalg.GetIndexOpts(opts...)
	arows := ind.LDa
	if ind.M < 0 {
		ind.M = A.Rows()
	}
	if ind.N < 0 {
		ind.N = A.Cols()
	}
	if ind.N == 0 || ind.M == 0 {
		return nil
	}
	if ind.LDa == 0 {
		ind.LDa = max(1, A.LeadingIndex())
		arows = max(1, A.Rows())
	}
	if ind.LDa < max(1, ind.M) {
		return onError("lda")
	}
	if ind.OffsetA < 0 {
		return onError("offsetA")
	}
	sizeA := A.NumElements()
	if sizeA < ind.OffsetA+(ind.N-1)*arows+ind.M {
		return onError("sizeA")
	}
	if ipiv != nil && len(ipiv) < min(ind.N, ind.M) {
		return onError("size ipiv")
	}
	info := -1
	switch A.(type) {
	case *matrix.FloatMatrix:
		Aa := A.(*matrix.FloatMatrix).FloatArray()
		info = dgetrf(ind.M, ind.N, Aa[ind.OffsetA:], ind.LDa, ipiv)
	case *matrix.ComplexMatrix:
	}
	if info != 0 {
		return onError("Getrf call error")
	}
	return nil
}
Exemple #28
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func GbsvFloat(A, B *matrix.FloatMatrix, ipiv []int32, kl int, opts ...linalg.Option) error {

	ind := linalg.GetIndexOpts(opts...)
	ind.Kl = kl
	err := checkGbsv(ind, A, B, ipiv)
	if err != nil {
		return err
	}
	if ind.N == 0 || ind.Nrhs == 0 {
		return nil
	}

	Aa := A.FloatArray()
	Ba := B.FloatArray()
	info := dgbsv(ind.N, ind.Kl, ind.Ku, ind.Nrhs, Aa[ind.OffsetA:], ind.LDa,
		ipiv, Ba[ind.OffsetB:], ind.LDb)
	if info != 0 {
		return onError(fmt.Sprintf("Gbsv lapack error: %d", info))
	}
	return nil
}
Exemple #29
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// See function Syr.
func SyrFloat(X, A *matrix.FloatMatrix, alpha float64, opts ...linalg.Option) (err error) {

	var params *linalg.Parameters
	params, err = linalg.GetParameters(opts...)
	if err != nil {
		return
	}
	ind := linalg.GetIndexOpts(opts...)
	err = check_level2_func(ind, fsyr, X, nil, A, params)
	if err != nil {
		return
	}
	if ind.N == 0 {
		return
	}
	Xa := X.FloatArray()
	Aa := A.FloatArray()
	uplo := linalg.ParamString(params.Uplo)
	dsyr(uplo, ind.N, alpha, Xa[ind.OffsetX:], ind.IncX, Aa[ind.OffsetA:], ind.LDa)
	return
}
Exemple #30
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// Returns ||Re x||_1 + ||Im x||_1.
//
// ARGUMENTS
//  X       float or complex matrix
//
// OPTIONS
//  n       integer.  If n<0, the default value of n is used.
//          The default value is equal to n = 1+(len(x)-offset-1)/inc or 0 if
//          len(x) > offset+1
//  inc     positive integer
//  offset  nonnegative integer
//
func Asum(X matrix.Matrix, opts ...linalg.Option) (v matrix.Scalar) {
	v = matrix.FScalar(math.NaN())
	ind := linalg.GetIndexOpts(opts...)
	err := check_level1_func(ind, fasum, X, nil)
	if err != nil {
		return
	}
	if ind.Nx == 0 {
		return
	}
	switch X.(type) {
	case *matrix.ComplexMatrix:
		Xa := X.(*matrix.ComplexMatrix).ComplexArray()
		v = matrix.FScalar(dzasum(ind.Nx, Xa[ind.OffsetX:], ind.IncX))
	case *matrix.FloatMatrix:
		Xa := X.(*matrix.FloatMatrix).FloatArray()
		v = matrix.FScalar(dasum(ind.Nx, Xa[ind.OffsetX:], ind.IncX))
		//default:
		//	err = onError("not implemented for parameter types", )
	}
	return
}