aboutsummaryrefslogtreecommitdiff
path: root/src/interp/nag-c02.boot
blob: 2eade7bae6e4b8817c71356af59d159ce5f42dc9 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
-- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd.
-- All rights reserved.
-- Copyright (C) 2007, Gabriel Dos Reis.
-- All rights reserved.
--
-- Redistribution and use in source and binary forms, with or without
-- modification, are permitted provided that the following conditions are
-- met:
--
--     - Redistributions of source code must retain the above copyright
--       notice, this list of conditions and the following disclaimer.
--
--     - Redistributions in binary form must reproduce the above copyright
--       notice, this list of conditions and the following disclaimer in
--       the documentation and/or other materials provided with the
--       distribution.
--
--     - Neither the name of The Numerical ALgorithms Group Ltd. nor the
--       names of its contributors may be used to endorse or promote products
--       derived from this software without specific prior written permission.
--
-- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
-- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
-- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
-- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER
-- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
-- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
-- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
-- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
-- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.


)package "BOOT"

c02aff() ==
  htInitPage('"C02AFF - All Zeros of a Complex Polynomial",nil)
  htMakePage '(
    (domainConditions 
       (isDomain PI (PositiveInteger)))
    (text . "\windowlink{Manual Page}{manpageXXc02aff} for this routine ")
    (text . "\newline ")
    (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c02aff| '|NagPolynomialRootsPackage|)} for this routine")
    (text . "\newline \horizontalline ")
    (text . "Finds all the roots of the complex polynomial equation ")
    (text . "\htbitmap{c02aff}, using a variant of Laguerre's method. ")
    (text . "\blankline ")
    (text . "\newline \menuitemstyle{} ")
    (text . "\tab{2} Enter the degree {\em n} of the polynomial:")
    (text . "\newline\tab{2} ")
    (bcStrings (5 5 n PI))
    (text . "\blankline")
    (text . "\newline")
    (text . "\newline \menuitemstyle{} \tab{2} Scale value:")
    (radioButtons scale
        ("" "  True" true)
        ("" "  False" false))
    (text . "\blankline ")
    (text . "\newline \menuitemstyle{} \tab{2} Ifail value:")
    (radioButtons ifail
        ("" " -1, Print error messages" minusOne)
        ("" "  1, Suppress error messages" one)))
  htMakeDoneButton('"Continue", 'c02affSolve)
  htShowPage()

c02affSolve htPage ==
  n :=
    $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n)
    objValUnwrap htpLabelSpadValue(htPage, 'n)
  logical := htpButtonValue(htPage,'scale)
  scale := 
    logical = 'true => '"true"
    '"false"
  error := htpButtonValue(htPage,'ifail)
  ifail :=
    error = 'one => '1
    '-1
  n = '5 => c02affDefaultSolve(htPage,scale,ifail)
  labelList :=
    "append"/[f(i,n) for i in 1..(n+1)] where f(i,n) ==
      prefix := ('"\newline z**")
      prefix := STRCONC(prefix,STRINGIMAGE (n-i+1),'"\space{1}") 
      post   := ('"\tab{30} ")
      post   := STRCONC(post,'"\space{1}")
      rnam := INTERN STRCONC ('"r",STRINGIMAGE i)
      inam := INTERN STRCONC ('"i",STRINGIMAGE i)
      [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'P]], 
       ['text,:post],['bcStrings,[10, 0.0, inam, 'P]]]
  equationPart := [
     '(domainConditions 
        (isDomain P (Polynomial $EmptyMode))
         (isDomain S (String))
          (isDomain PI (PositiveInteger))),
            :labelList]
  page := htInitPage("C02AFF - All Zeros of a Complex Polynomial", htpPropertyList htPage)
  htSay '"\menuitemstyle{} \tab{2} Enter the coefficients of the polynomial: "
  htSay '"\blankline "
  htSay '"Real parts \tab{30} Imaginary parts "
  htSay '"\newline "
  htMakePage equationPart
  htMakeDoneButton('"Continue",'c02affGen)
  htpSetProperty(page,'n,n)
  htpSetProperty(page,'scale,scale)
  htpSetProperty(page,'ifail,ifail)
  htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
  htShowPage()

c02affDefaultSolve (htPage, scale, ifail) ==
  n := '5
  page := htInitPage('"C02AFF - All Zeros of a Complex Polynomial",nil)
  htMakePage '(
    (domainConditions 
       (isDomain F (Float)))
    (text . "\newline \menuitemstyle{} \tab{2} ")
    (text . "Enter the coefficients of the polynomial: ")
    (text . "\blankline ")
    (text . "Real parts \tab{30} Imaginary parts ")
    (text . "\newline z**5 \space{1} ")
    (bcStrings (10 "5.0" r1 F))
    (text . "\tab{30} ")
    (text . "\space{1} ")
    (bcStrings (10 "6.0" i1 F))
    (text . "\newline ")
    (text . "z**4 \space{1} ")
    (bcStrings (10 "30.0" r2 F))
    (text . "\tab{30} ")
    (text . "\space{1} ")
    (bcStrings (10 "20.0" i2 F))
    (text . "\newline ")
    (text . "z**3 \space{1} ")
    (bcStrings (10 "-0.2" r3 F))
    (text . "\tab{30} ")
    (text . "\space{1} ")
    (bcStrings (10 "-6.0" i3 F))
    (text . "\newline ")
    (text . "z**2 \space{1} ")
    (bcStrings (10 "50.0" r4 F))
    (text . "\tab{30} ")
    (text . "\space{1} ")
    (bcStrings (10 "100000.0" i4 F))
    (text . "\newline ")
    (text . "z**1 \space{1} ")
    (bcStrings (10 "-2.0" r5 F))
    (text . "\tab{30} ")
    (text . "\space{1} ")
    (bcStrings (10 "40.0" i5 F))
    (text . "\newline ")
    (text . "z**0 \space{1} ")
    (bcStrings (10 "10.0" r6 F))
    (text . "\tab{30} ")
    (text . "\space{1} ")
    (bcStrings (10 "1.0" i6 F))
    (text . "\newline ")
    (text . "\blankline"))
  htMakeDoneButton('"Continue",'c02affGen)      
  htpSetProperty(page,'n,n)
  htpSetProperty(page,'scale,scale)
  htpSetProperty(page,'ifail,ifail)
  htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
  htShowPage()


c02affGen htPage ==
  n := htpProperty(htPage,'n)
  scale := htpProperty(htPage,'scale)
  ifail := htpProperty(htPage,'ifail)
  alist := htpInputAreaAlist htPage
  y := alist
  while y repeat
    right := STRCONC((first y).1," ")
    y := rest y
    left := STRCONC((first y).1," ")
    y := rest y
    reallist := [left,:reallist]
    imaglist := [right,:imaglist]
  realstring := bcwords2liststring reallist
  imagstring := bcwords2liststring imaglist
  linkGen STRCONC ('"c02aff([",realstring,",",imagstring,"],",STRINGIMAGE n,",",scale,",",STRINGIMAGE ifail,")")

c02agf() ==
  htInitPage('"C02AGF - All Zeros of a Real Polynomial",nil)
  htMakePage '(
    (domainConditions 
       (isDomain PI (PositiveInteger)))
    (text . "\windowlink{Manual Page}{manpageXXc02agf} for this routine ")
    (text . "\newline ")
    (text . "\lispwindowlink{Browser operation page}{(|oPageFrom| '|c02agf| '|NagPolynomialRootsPackage|)} for this routine")
    (text . "\newline \horizontalline ")
    (text . "Finds all the roots of the real polynomial equation ")
    (text . "\htbitmap{c02aff}, using a variant of Laguerre's method. ")
    (text . "\blankline ")
    (text . "\newline \menuitemstyle{} ")
    (text . "\tab{2} Enter the degree {\em n} of the polynomial:")
    (text . "\newline\tab{2} ")
    (bcStrings (5 5 n PI))
    (text . "\blankline")
    (text . "\newline")
    (text . "\newline \menuitemstyle{} \tab{2} Scale value:")
    (radioButtons scale
        ("" "  True" true)
        ("" "  False" false))
    (text . "\blankline ")
    (text . "\newline \menuitemstyle{} \tab{2} Ifail value:")
    (radioButtons ifail
        ("" " -1, Print error messages" minusOne)
        ("" "  1, Suppress error messages" one)))
  htMakeDoneButton('"Continue", 'c02agfSolve)
  htShowPage()

c02agfSolve htPage ==
  n :=
    $bcParseOnly => PARSE_-INTEGER htpLabelInputString(htPage, 'n)
    objValUnwrap htpLabelSpadValue(htPage, 'n)
  logical := htpButtonValue(htPage,'scale)
  scale := 
    logical = 'true => '"true"
    '"false"
  error := htpButtonValue(htPage,'ifail)
  ifail :=
    error = 'one => '1
    '-1
  n = '5 => c02agfDefaultSolve(htPage,scale,ifail)
  labelList :=
    "append"/[f(i,n) for i in 1..(n+1)] where f(i,n) ==
      prefix := ('"\newline z**")
      prefix := STRCONC(prefix,STRINGIMAGE (n-i+1),'"\space{1}") 
      rnam := INTERN STRCONC ('"r",STRINGIMAGE i)
      [['text,:prefix],['bcStrings,[10, 0.0, rnam, 'P]]]
  equationPart := [ 
     '(domainConditions 
        (isDomain P (Polynomial $EmptyMode))
         (isDomain S (String))
          (isDomain PI (PositiveInteger))),
            :labelList]
  page := htInitPage("C02AGF - All Zeros of a Real Polynomial", htpPropertyList htPage)
  htSay '"\menuitemstyle{} \tab{2} "
  htSay '"Enter the coefficients of the polynomial: "
  htSay '"\newline "
  htMakePage equationPart
  htMakeDoneButton('"Continue",'c02agfGen)
  htpSetProperty(page,'n,n)
  htpSetProperty(page,'scale,scale)
  htpSetProperty(page,'ifail,ifail)
  htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
  htShowPage()  


c02agfDefaultSolve (htPage, scale, ifail) ==
  n := '5
  page := htInitPage('"C02AGF - All Zeros of a Real Polynomial",nil)
  htMakePage '(
    (domainConditions 
       (isDomain F (Float)))
    (text . "\newline \menuitemstyle{} \tab{2} ")
    (text . "Enter the coefficients of the polynomial: ")
    (text . "\newline ")
    (text . "z**5 \space{1} ")
    (bcStrings (10 "1.0" r1 F))
    (text . "\newline ")
    (text . "z**4 \space{1} ")
    (bcStrings (10 "2.0" r2 F))
    (text . "\newline ")
    (text . "z**3 \space{1} ")
    (bcStrings (10 "3.0" r3 F))
    (text . "\newline ")
    (text . "z**2 \space{1} ")
    (bcStrings (10 "4.0" r4 F))
    (text . "\newline ")
    (text . "z**1 \space{1} ")
    (bcStrings (10 "5.0" r5 F))
    (text . "\newline ")
    (text . "z**0 \space{1} ")
    (bcStrings (10 "6.0" r6 F))
    (text . "\newline ")
    (text . "\blankline"))
  htMakeDoneButton('"Continue",'c02agfGen)      
  htpSetProperty(page,'n,n)
  htpSetProperty(page,'scale,scale)
  htpSetProperty(page,'ifail,ifail)
  htpSetProperty(page,'inputArea, htpInputAreaAlist htPage)
  htShowPage()


c02agfGen htPage ==
  n := htpProperty(htPage,'n)
  scale := htpProperty(htPage,'scale)
  ifail := htpProperty(htPage,'ifail)
  alist := htpInputAreaAlist htPage
  y := alist
  while y repeat
    left := STRCONC((first y).1," ")
    y := rest y
    reallist := [left,:reallist]
  realstring := bcwords2liststring reallist
  linkGen STRCONC ('"c02agf([",realstring,"],",STRINGIMAGE n,",",scale,",",STRINGIMAGE ifail,")")