You are an expert in writing code in many different languages. Your goal is to perform code completion for the following code, keeping in mind the rest of the code and the file meta data.
    Metadata details:
    filename: dlaqp2.go
    path of file: ./repos/gonum/lapack/testlapack
    
    the code of the file until where you have to start completion: // Copyright Â©2017 The Gonum Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.

package testlapack

import (
	"fmt"
	"testing"

	"golang.org/x/exp/rand"

	"gonum.org/v1/gonum/blas"
	"gonum.org/v1/gonum/blas/blas64"
	"gonum.org/v1/gonum/lapack"
)

type Dlaqp2er interface {
	Dlapmter
	Dlaqp2(m, n, offset int, a []float64, lda int, jpvt []int, tau, vn1, vn2, work []float64)
}

func Dlaqp2Test(t *testing.T, impl Dlaqp2er) {
	const tol = 1e-14

	rnd := rand.New(rand.NewSource(1))
	for ti, test := range []struct {
		m, n, offset int
	}{
		{m: 4, n: 3, offset: 0},
		{m: 4, n: 3, offset: 2},
		{m: 4, n: 3, offset: 4},
		{m: 3, n: 4, offset: 0},
		{m: 3, n: 4, offset: 1},
		{m: 3, n: 4, offset: 2},
		{m: 8, n: 3, offset: 0},
		{m: 8, n: 3, offset: 4},
		{m: 8, n: 3, offset: 8},
		{m: 3, n: 8, offset: 0},
		{m: 3, n: 8, of
    
func Dlaqp2Test(t *testing.T, impl Dlaqp2er) {
	const tol = 1e-14

	rnd := rand.New(rand.NewSource(1))
	for ti, test := range []struct {
		m, n, offset int
	}{
		{m: 4, n: 3, offset: 0},
		{m: 4, n: 3, offset: 2},
		{m: 4, n: 3, offset: 4},
		{m: 3, n: 4, offset: 0},
		{m: 3, n: 4, offset: 1},
		{m: 3, n: 4, offset: 2},
		{m: 8, n: 3, offset: 0},
		{m: 8, n: 3, offset: 4},
		{m: 8, n: 3, offset: 8},
		{m: 3, n: 8, offset: 0},
		{m: 3, n: 8, offset: 1},
		{m: 3, n: 8, offset: 2},
		{m: 10, n: 10, offset: 0},
		{m: 10, n: 10, offset: 5},
		{m: 10, n: 10, offset: 10},
	} {
		m := test.m
		n := test.n
		jpiv := make([]int, n)

		for _, extra := range []int{0, 11} {
			a := randomGeneral(m, n, n+extra, rnd)
			aCopy := cloneGeneral(a)

			for j := range jpiv {
				jpiv[j] = j
			}

			tau := make([]float64, n)
			vn1 := columnNorms(m, n, a.Data, a.Stride)
			vn2 := columnNorms(m, n, a.Data, a.Stride)
			work := make([]float64, n)

			impl.Dlaqp2(m, n, test.offset, a.Data, a.Stride, jpiv, tau, vn1, vn2, work)

			prefix := fmt.Sprintf("Case %v (offset=%d,m=%v,n=%v,extra=%v)", ti, test.offset, m, n, extra)
			if !generalOutsideAllNaN(a) {
				t.Errorf("%v: out-of-range write to A", prefix)
			}

			mo := m - test.offset
			if mo == 0 {
				continue
			}
			q := constructQ("QR", mo, n, a.Data[test.offset*a.Stride:], a.Stride, tau)

			// Check that Q is orthogonal.
			if resid := residualOrthogonal(q, false); resid > tol {
				t.Errorf("%v: Q is not orthogonal; resid=%v, want<=%v", prefix, resid, tol)
			}

			// Check that |A*P - Q*R| is small.
			impl.Dlapmt(true, aCopy.Rows, aCopy.Cols, aCopy.Data, aCopy.Stride, jpiv)
			qrap := blas64.General{
				Rows:   mo,
				Cols:   aCopy.Cols,
				Stride: aCopy.Stride,
				Data:   aCopy.Data[test.offset*aCopy.Stride:],
			}
			r := zeros(mo, n, n)
			for i := 0; i < mo; i++ {
				for j := i; j < n; j++ {
					r.Data[i*r.Stride+j] = a.Data[(test.offset+i)*a.Stride+j]
				}
			}
			blas64.Gemm(blas.NoTrans, blas.NoTrans, 1, q, r, -1, qrap)
			resid := dlange(lapack.MaxColumnSum, qrap.Rows, qrap.Cols, qrap.Data, qrap.Stride)
			if resid > tol {
				t.Errorf("%v: |Q*R - A*P|=%v, want<=%v", prefix, resid, tol)
			}
		}
	}
}