File: div.ml

package info (click to toggle)
orpie 1.5.2-2
  • links: PTS
  • area: main
  • in suites: bullseye, buster, sid
  • size: 1,924 kB
  • ctags: 2,720
  • sloc: ml: 13,872; ansic: 3,754; makefile: 310; sh: 11; python: 11
file content (237 lines) | stat: -rw-r--r-- 10,182 bytes parent folder | download | duplicates (2)
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
(*  Orpie -- a fullscreen RPN calculator for the console
 *  Copyright (C) 2003-2004, 2005, 2006-2007, 2010 Paul Pelzl
 *
 *  This program is free software; you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License, Version 2,
 *  as published by the Free Software Foundation.
 *
 *  This program is distributed in the hope that it will be useful,
 *  but WITHOUT ANY WARRANTY; without even the implied warranty of
 *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 *  GNU General Public License for more details.
 *
 *  You should have received a copy of the GNU General Public License
 *  along with this program; if not, write to the Free Software
 *  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 *  Please send bug reports, patches, etc. to Paul Pelzl at 
 *  <pelzlpj@gmail.com>.
 *)

open Rpc_stack
open Gsl_error
open Gsl_assist
open Big_int

let div (stack : rpc_stack) (evaln : int -> unit) =
   evaln 2;
   let gen_el2 = stack#pop () in
   let gen_el1 = stack#pop () in
   match gen_el1 with
   |RpcInt el1 -> (
      match gen_el2 with
      |RpcInt el2 ->
         stack#push (RpcInt (div_big_int el1 el2))
      |RpcFloatUnit (el2, uu2) ->
         let f_el1 = float_of_big_int el1 in
         stack#push (RpcFloatUnit (f_el1 /. el2, Units.div Units.empty_unit uu2))
      |RpcComplexUnit (el2, uu2) ->
         let c_el1 = cmpx_of_int el1 in
         stack#push (RpcComplexUnit 
            (Complex.div c_el1 el2, Units.div Units.empty_unit uu2))
      |_ ->
         (stack#push gen_el1;
         stack#push gen_el2;
         raise (Invalid_argument "incompatible types for division"))
      )
   |RpcFloatUnit (el1, uu1) -> (
      match gen_el2 with
      |RpcInt el2 ->
         let f_el2 = float_of_big_int el2 in
         stack#push (RpcFloatUnit (el1 /. f_el2, uu1))
      |RpcFloatUnit (el2, uu2) ->
         stack#push (RpcFloatUnit (el1 /. el2, Units.div uu1 uu2))
      |RpcComplexUnit (el2, uu2) ->
         let c_el1 = c_of_f el1 in
         stack#push (RpcComplexUnit (Complex.div c_el1 el2, Units.div uu1 uu2))
      |_ ->
         (stack#push gen_el1;
         stack#push gen_el2;
         raise (Invalid_argument "incompatible types for division"))
      )
   |RpcComplexUnit (el1, uu1) -> (
      match gen_el2 with
      |RpcInt el2 ->
         let c_el2 = cmpx_of_int el2 in
         stack#push (RpcComplexUnit (Complex.div el1 c_el2, uu1))
      |RpcFloatUnit (el2, uu2) ->
         let c_el2 = c_of_f el2 in
         stack#push (RpcComplexUnit (Complex.div el1 c_el2, Units.div uu1 uu2))
      |RpcComplexUnit (el2, uu2) ->
         stack#push (RpcComplexUnit (Complex.div el1 el2, Units.div uu1 uu2))
      |_ ->
         (stack#push gen_el1;
         stack#push gen_el2;
         raise (Invalid_argument "incompatible types for division"))
      )
   |RpcFloatMatrixUnit (el1, uu1) -> (
      match gen_el2 with
      |RpcInt el2 ->
         let f_el2 = float_of_big_int el2 in
         let result = Gsl_matrix.copy el1 in
         (Gsl_matrix.scale result (1.0 /. f_el2));
         stack#push (RpcFloatMatrixUnit (result, uu1))
      |RpcFloatUnit (el2, uu2) ->
         let result = Gsl_matrix.copy el1 in
         (Gsl_matrix.scale result (1.0 /. el2));
         stack#push (RpcFloatMatrixUnit (result, Units.div uu1 uu2))
      |RpcComplexUnit (el2, uu2) ->
         let c_el1 = cmat_of_fmat el1 in
         Gsl_matrix_complex.scale c_el1 (Complex.inv el2);
         stack#push (RpcComplexMatrixUnit (c_el1, Units.div uu1 uu2))
      |RpcFloatMatrixUnit (el2, uu2) ->
         let n1, m1 = (Gsl_matrix.dims el1)
         and n2, m2 = (Gsl_matrix.dims el2) in
         if n2 = m2 then
            if m1 = n2 then
               let copy_el2 = Gsl_vectmat.mat_convert ~protect:true (`M el2)
               and perm = Gsl_permut.create m1
               and inv = Gsl_matrix.create m1 m1 in
               try
                  let _ = Gsl_linalg._LU_decomp copy_el2 perm in
                  Gsl_linalg._LU_invert copy_el2 perm (`M inv);
                  let result = Gsl_matrix.create n1 m2 in
                  Gsl_blas.gemm Gsl_blas.NoTrans Gsl_blas.NoTrans
                  1.0 el1 inv 0.0 result;
                  stack#push (RpcFloatMatrixUnit (result, Units.div uu1 uu2))
               with Gsl_exn _ -> 
                  (stack#push gen_el1;
                  stack#push gen_el2;
                  raise (Invalid_argument "divisor matrix is singular"))
            else
               (stack#push gen_el1;
               stack#push gen_el2;
               raise (Invalid_argument "incompatible dimensions for division"))
         else
            (stack#push gen_el1;
            stack#push gen_el2;
            raise (Invalid_argument "divisor matrix is non-square"))
      |RpcComplexMatrixUnit (el2, uu2) ->
         let n1, m1 = (Gsl_matrix.dims el1)
         and n2, m2 = (Gsl_matrix_complex.dims el2) in
         if n2 = m2 then
            if m1 = n2 then
               let copy_el2 = Gsl_matrix_complex.copy el2
               and perm = Gsl_permut.create m1
               and inv = Gsl_matrix_complex.create m1 m1 in
               try
                  let _ = Gsl_linalg.complex_LU_decomp (`CM copy_el2) perm in
                  Gsl_linalg.complex_LU_invert (`CM copy_el2) perm
                  (`CM inv);
                  let result = Gsl_matrix_complex.create n1 m2 in
                  Gsl_blas.Complex.gemm Gsl_blas.NoTrans
                  Gsl_blas.NoTrans Complex.one (cmat_of_fmat el1) inv
                  Complex.zero result;
                  stack#push (RpcComplexMatrixUnit (result, Units.div uu1 uu2))
               with Gsl_exn _ -> 
                  (stack#push gen_el1;
                  stack#push gen_el2;
                  raise (Invalid_argument "divisor matrix is singular"))
            else
               (stack#push gen_el1;
               stack#push gen_el2;
               raise (Invalid_argument "incompatible matrix dimensions for division"))
         else
            (stack#push gen_el1;
            stack#push gen_el2;
            raise (Invalid_argument "divisor matrix is non-square"))
      |_ ->
         (stack#push gen_el1;
         stack#push gen_el2;
         raise (Invalid_argument "incompatible types for division"))
      )
   |RpcComplexMatrixUnit (el1, uu1) -> (
      match gen_el2 with
      |RpcInt el2 ->
         let c_el2 = cmpx_of_int el2 in
         let result = Gsl_matrix_complex.copy el1 in
         Gsl_matrix_complex.scale result (Complex.inv c_el2);
         stack#push (RpcComplexMatrixUnit (result, uu1))
      |RpcFloatUnit (el2, uu2) ->
         let result = Gsl_matrix_complex.copy el1 in
         Gsl_matrix_complex.scale result (Complex.inv (c_of_f el2));
         stack#push (RpcComplexMatrixUnit (result, Units.div uu1 uu2))
      |RpcComplexUnit (el2, uu2) ->
         let result = Gsl_matrix_complex.copy el1 in
         Gsl_matrix_complex.scale result (Complex.inv el2);
         stack#push (RpcComplexMatrixUnit (result, Units.div uu1 uu2))
      |RpcFloatMatrixUnit (el2, uu2) ->
         let n1, m1 = (Gsl_matrix_complex.dims el1)
         and n2, m2 = (Gsl_matrix.dims el2) in
         if n2 = m2 then
            if m1 = n2 then
               let copy_el2 = Gsl_matrix.copy el2
               and perm = Gsl_permut.create m1
               and inv = Gsl_matrix.create m1 m1 in
               try
                  let _ = Gsl_linalg._LU_decomp (`M copy_el2) perm in
                  Gsl_linalg._LU_invert (`M copy_el2) perm (`M inv);
                  let result = Gsl_matrix_complex.create n1 m2 in
                  Gsl_blas.Complex.gemm Gsl_blas.NoTrans
                  Gsl_blas.NoTrans Complex.one el1 (cmat_of_fmat inv)
                  Complex.zero result;
                  stack#push (RpcComplexMatrixUnit (result, Units.div uu1 uu2))
               with Gsl_exn _ -> 
                  (stack#push gen_el1;
                  stack#push gen_el2;
                  raise (Invalid_argument "divisor matrix is singular"))
            else
               (stack#push gen_el1;
               stack#push gen_el2;
               raise (Invalid_argument "incompatible matrix dimensions for division"))
         else
            (stack#push gen_el1;
            stack#push gen_el2;
            raise (Invalid_argument "divisor matrix is non-square"))
      |RpcComplexMatrixUnit (el2, uu2) ->
         let n1, m1 = (Gsl_matrix_complex.dims el1)
         and n2, m2 = (Gsl_matrix_complex.dims el2) in
         if n2 = m2 then
            if m1 = n2 then
               (* FIXME: do we need to use Gsl_vectmat.cmat_convert here? *)
               let copy_el2 = Gsl_matrix_complex.copy el2
               and perm = Gsl_permut.create m1
               and inv = Gsl_matrix_complex.create m1 m1 in
               try
                  let _ = Gsl_linalg.complex_LU_decomp (`CM
                  copy_el2) perm in
                  Gsl_linalg.complex_LU_invert (`CM copy_el2) perm
                  (`CM inv);
                  let result = Gsl_matrix_complex.create n1 m2 in
                  Gsl_blas.Complex.gemm Gsl_blas.NoTrans Gsl_blas.NoTrans 
                  Complex.one el1 inv Complex.zero result;
                  stack#push (RpcComplexMatrixUnit (result, Units.div uu1 uu2))
               with Gsl_exn _ -> 
                  (stack#push gen_el1;
                  stack#push gen_el2;
                  raise (Invalid_argument "divisor matrix is singular"))
            else
               (stack#push gen_el1;
               stack#push gen_el2;
               raise (Invalid_argument "incompatible matrix dimensions for division"))
         else
            (stack#push gen_el1;
            stack#push gen_el2;
            raise (Invalid_argument "divisor matrix is non-square"))
      |_ ->
         (stack#push gen_el1;
         stack#push gen_el2;
         raise (Invalid_argument "incompatible types for division"))
         )
   |_ ->
      (stack#push gen_el1;
      stack#push gen_el2;
      raise (Invalid_argument "incompatible types for division"))


(* arch-tag: DO_NOT_CHANGE_c2535853-756a-4574-8f36-1103a81d053b *)