+++ /dev/null
-// Copyright ©2015 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 gonum
-
-import "math"
-
-// Dlasq6 computes one dqd transform in ping-pong form with protection against
-// overflow and underflow. z has length at least 4*(n0+1) and holds the qd array.
-// i0 is the zero-based first index.
-// n0 is the zero-based last index.
-//
-// Dlasq6 is an internal routine. It is exported for testing purposes.
-func (impl Implementation) Dlasq6(i0, n0 int, z []float64, pp int) (dmin, dmin1, dmin2, dn, dnm1, dnm2 float64) {
- if len(z) < 4*(n0+1) {
- panic(badZ)
- }
- if n0-i0-1 <= 0 {
- return dmin, dmin1, dmin2, dn, dnm1, dnm2
- }
- safmin := dlamchS
- j4 := 4*(i0+1) + pp - 4 // -4 rather than -3 for zero indexing
- emin := z[j4+4]
- d := z[j4]
- dmin = d
- if pp == 0 {
- for j4loop := 4 * (i0 + 1); j4loop <= 4*((n0+1)-3); j4loop += 4 {
- j4 := j4loop - 1 // Translate back to zero-indexed.
- z[j4-2] = d + z[j4-1]
- if z[j4-2] == 0 {
- z[j4] = 0
- d = z[j4+1]
- dmin = d
- emin = 0
- } else if safmin*z[j4+1] < z[j4-2] && safmin*z[j4-2] < z[j4+1] {
- tmp := z[j4+1] / z[j4-2]
- z[j4] = z[j4-1] * tmp
- d *= tmp
- } else {
- z[j4] = z[j4+1] * (z[j4-1] / z[j4-2])
- d = z[j4+1] * (d / z[j4-2])
- }
- dmin = math.Min(dmin, d)
- emin = math.Min(emin, z[j4])
- }
- } else {
- for j4loop := 4 * (i0 + 1); j4loop <= 4*((n0+1)-3); j4loop += 4 {
- j4 := j4loop - 1
- z[j4-3] = d + z[j4]
- if z[j4-3] == 0 {
- z[j4-1] = 0
- d = z[j4+2]
- dmin = d
- emin = 0
- } else if safmin*z[j4+2] < z[j4-3] && safmin*z[j4-3] < z[j4+2] {
- tmp := z[j4+2] / z[j4-3]
- z[j4-1] = z[j4] * tmp
- d *= tmp
- } else {
- z[j4-1] = z[j4+2] * (z[j4] / z[j4-3])
- d = z[j4+2] * (d / z[j4-3])
- }
- dmin = math.Min(dmin, d)
- emin = math.Min(emin, z[j4-1])
- }
- }
- // Unroll last two steps.
- dnm2 = d
- dmin2 = dmin
- j4 = 4*(n0-1) - pp - 1
- j4p2 := j4 + 2*pp - 1
- z[j4-2] = dnm2 + z[j4p2]
- if z[j4-2] == 0 {
- z[j4] = 0
- dnm1 = z[j4p2+2]
- dmin = dnm1
- emin = 0
- } else if safmin*z[j4p2+2] < z[j4-2] && safmin*z[j4-2] < z[j4p2+2] {
- tmp := z[j4p2+2] / z[j4-2]
- z[j4] = z[j4p2] * tmp
- dnm1 = dnm2 * tmp
- } else {
- z[j4] = z[j4p2+2] * (z[j4p2] / z[j4-2])
- dnm1 = z[j4p2+2] * (dnm2 / z[j4-2])
- }
- dmin = math.Min(dmin, dnm1)
- dmin1 = dmin
- j4 += 4
- j4p2 = j4 + 2*pp - 1
- z[j4-2] = dnm1 + z[j4p2]
- if z[j4-2] == 0 {
- z[j4] = 0
- dn = z[j4p2+2]
- dmin = dn
- emin = 0
- } else if safmin*z[j4p2+2] < z[j4-2] && safmin*z[j4-2] < z[j4p2+2] {
- tmp := z[j4p2+2] / z[j4-2]
- z[j4] = z[j4p2] * tmp
- dn = dnm1 * tmp
- } else {
- z[j4] = z[j4p2+2] * (z[j4p2] / z[j4-2])
- dn = z[j4p2+2] * (dnm1 / z[j4-2])
- }
- dmin = math.Min(dmin, dn)
- z[j4+2] = dn
- z[4*(n0+1)-pp-1] = emin
- return dmin, dmin1, dmin2, dn, dnm1, dnm2
-}