Beispiel #1
0
// dgemmSerial where both are transposed
func dgemmSerialTransTrans(a, b, c general64, alpha float64) {
	if debug {
		if a.rows != b.cols {
			panic("inner dimension mismatch")
		}
		if a.cols != c.rows {
			panic("outer dimension mismatch")
		}
		if b.rows != c.cols {
			panic("outer dimension mismatch")
		}
	}

	// This style is used instead of the literal [i*stride +j]) is used because
	// approximately 5 times faster as of go 1.3.
	for l := 0; l < a.rows; l++ {
		for i, v := range a.data[l*a.stride : l*a.stride+a.cols] {
			ctmp := c.data[i*c.stride : i*c.stride+c.cols]
			if v != 0 {
				tmp := alpha * v
				if tmp != 0 {
					asm.DaxpyInc(tmp, b.data[l:], ctmp, uintptr(b.rows), uintptr(b.stride), 1, 0, 0)
				}
			}
		}
	}
}
// Dger performs the rank-one operation
//  A += alpha * x * y^T
// where A is an m×n dense matrix, x and y are vectors, and alpha is a scalar.
func (Implementation) Dger(m, n int, alpha float64, x []float64, incX int, y []float64, incY int, a []float64, lda int) {
	// Check inputs
	if m < 0 {
		panic("m < 0")
	}
	if n < 0 {
		panic(negativeN)
	}
	if incX == 0 {
		panic(zeroIncX)
	}
	if incY == 0 {
		panic(zeroIncY)
	}
	if lda < max(1, n) {
		panic(badLdA)
	}

	// Quick return if possible
	if m == 0 || n == 0 || alpha == 0 {
		return
	}

	var ky, kx int
	if incY > 0 {
		ky = 0
	} else {
		ky = -(n - 1) * incY
	}

	if incX > 0 {
		kx = 0
	} else {
		kx = -(m - 1) * incX
	}

	if incX == 1 && incY == 1 {
		x = x[:m]
		y = y[:n]
		for i, xv := range x {
			tmp := alpha * xv
			if tmp != 0 {
				atmp := a[i*lda : i*lda+n]
				asm.DaxpyUnitary(tmp, y, atmp, atmp)
			}
		}
		return
	}

	ix := kx
	for i := 0; i < m; i++ {
		tmp := alpha * x[ix]
		if tmp != 0 {
			asm.DaxpyInc(tmp, y, a[i*lda:i*lda+n], uintptr(n), uintptr(incY), 1, uintptr(ky), 0)
		}
		ix += incX
	}
}
Beispiel #3
0
// dgemmSerial where both are transposed
func dgemmSerialTransTrans(m, n, k int, a []float64, lda int, b []float64, ldb int, c []float64, ldc int, alpha float64) {
	// This style is used instead of the literal [i*stride +j]) is used because
	// approximately 5 times faster as of go 1.3.
	for l := 0; l < k; l++ {
		for i, v := range a[l*lda : l*lda+m] {
			tmp := alpha * v
			if tmp != 0 {
				ctmp := c[i*ldc : i*ldc+n]
				asm.DaxpyInc(tmp, b[l:], ctmp, uintptr(n), uintptr(ldb), 1, 0, 0)
			}
		}
	}
}
Beispiel #4
0
// Daxpy adds alpha times x to y
//  y[i] += alpha * x[i] for all i
func (Implementation) Daxpy(n int, alpha float64, x []float64, incX int, y []float64, incY int) {
	if n < 1 {
		if n == 0 {
			return
		}
		panic(negativeN)
	}
	if incX == 0 {
		panic(zeroIncX)
	}
	if incY == 0 {
		panic(zeroIncY)
	}
	if (incX > 0 && (n-1)*incX >= len(x)) || (incX < 0 && (1-n)*incX >= len(x)) {
		panic(badX)
	}
	if (incY > 0 && (n-1)*incY >= len(y)) || (incY < 0 && (1-n)*incY >= len(y)) {
		panic(badY)
	}
	if alpha == 0 {
		return
	}
	if incX == 1 && incY == 1 {
		if len(x) < n {
			panic(badLenX)
		}
		if len(y) < n {
			panic(badLenY)
		}
		asm.DaxpyUnitary(alpha, x[:n], y, y)
		return
	}
	var ix, iy int
	if incX < 0 {
		ix = (-n + 1) * incX
	}
	if incY < 0 {
		iy = (-n + 1) * incY
	}
	if ix >= len(x) || ix+(n-1)*incX >= len(x) {
		panic(badLenX)
	}
	if iy >= len(y) || iy+(n-1)*incY >= len(y) {
		panic(badLenY)
	}
	asm.DaxpyInc(alpha, x, y, uintptr(n), uintptr(incX), uintptr(incY), uintptr(ix), uintptr(iy))
}
Beispiel #5
0
// AddScaledVec adds the vectors a and alpha*b, placing the result in the receiver.
func (v *Vector) AddScaledVec(a *Vector, alpha float64, b *Vector) {
	if alpha == 1 {
		v.AddVec(a, b)
		return
	}
	if alpha == -1 {
		v.SubVec(a, b)
		return
	}

	ar := a.Len()
	br := b.Len()

	if ar != br {
		panic(matrix.ErrShape)
	}

	v.reuseAs(ar)

	switch {
	case alpha == 0: // v <- a
		v.CopyVec(a)
	case v == a && v == b: // v <- v + alpha * v = (alpha + 1) * v
		blas64.Scal(ar, alpha+1, v.mat)
	case v == a && v != b: // v <- v + alpha * b
		if v.mat.Inc == 1 && b.mat.Inc == 1 {
			// Fast path for a common case.
			asm.DaxpyUnitaryTo(v.mat.Data, alpha, b.mat.Data, a.mat.Data)
		} else {
			asm.DaxpyInc(alpha, b.mat.Data, v.mat.Data,
				uintptr(ar), uintptr(b.mat.Inc), uintptr(v.mat.Inc), 0, 0)
		}
	default: // v <- a + alpha * b or v <- a + alpha * v
		if v.mat.Inc == 1 && a.mat.Inc == 1 && b.mat.Inc == 1 {
			// Fast path for a common case.
			asm.DaxpyUnitaryTo(v.mat.Data, alpha, b.mat.Data, a.mat.Data)
		} else {
			asm.DaxpyIncTo(v.mat.Data, uintptr(v.mat.Inc), 0,
				alpha, b.mat.Data, a.mat.Data,
				uintptr(ar), uintptr(b.mat.Inc), uintptr(a.mat.Inc), 0, 0)
		}
	}
}
// Dgemv computes
//  y = alpha * a * x + beta * y if tA = blas.NoTrans
//  y = alpha * A^T * x + beta * y if tA = blas.Trans or blas.ConjTrans
// where A is an m×n dense matrix, x and y are vectors, and alpha is a scalar.
func (Implementation) Dgemv(tA blas.Transpose, m, n int, alpha float64, a []float64, lda int, x []float64, incX int, beta float64, y []float64, incY int) {
	if tA != blas.NoTrans && tA != blas.Trans && tA != blas.ConjTrans {
		panic(badTranspose)
	}
	if m < 0 {
		panic(mLT0)
	}
	if n < 0 {
		panic(nLT0)
	}
	if lda < max(1, n) {
		panic(badLdA)
	}

	if incX == 0 {
		panic(zeroIncX)
	}
	if incY == 0 {
		panic(zeroIncY)
	}

	// Quick return if possible
	if m == 0 || n == 0 || (alpha == 0 && beta == 1) {
		return
	}

	// Set up indexes
	lenX := m
	lenY := n
	if tA == blas.NoTrans {
		lenX = n
		lenY = m
	}
	var kx, ky int
	if incX > 0 {
		kx = 0
	} else {
		kx = -(lenX - 1) * incX
	}
	if incY > 0 {
		ky = 0
	} else {
		ky = -(lenY - 1) * incY
	}

	// First form y := beta * y
	if incY > 0 {
		Implementation{}.Dscal(lenY, beta, y, incY)
	} else {
		Implementation{}.Dscal(lenY, beta, y, -incY)
	}

	if alpha == 0 {
		return
	}

	// Form y := alpha * A * x + y
	if tA == blas.NoTrans {
		if incX == 1 {
			for i := 0; i < m; i++ {
				y[i] += alpha * asm.DdotUnitary(a[lda*i:lda*i+n], x)
			}
			return
		}
		iy := ky
		for i := 0; i < m; i++ {
			y[iy] += alpha * asm.DdotInc(x, a[lda*i:lda*i+n], uintptr(n), uintptr(incX), 1, uintptr(kx), 0)
			iy += incY
		}
		return
	}
	// Cases where a is not transposed.
	if incX == 1 {
		for i := 0; i < m; i++ {
			tmp := alpha * x[i]
			if tmp != 0 {
				asm.DaxpyUnitary(tmp, a[lda*i:lda*i+n], y, y)
			}
		}
		return
	}
	ix := kx
	for i := 0; i < m; i++ {
		tmp := alpha * x[ix]
		if tmp != 0 {
			asm.DaxpyInc(tmp, a[lda*i:lda*i+n], y, uintptr(n), 1, uintptr(incY), 0, uintptr(ky))
		}
		ix += incX
	}
}