liba 0.1.15

An algorithm library based on C/C++
Documentation
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
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
/***
 fuzzy proportional integral derivative controller
 @module liba.pid_fuzzy
*/

#include "pid_fuzzy.h"
#include "a/pid_fuzzy.h"

/***
 destructor for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @function die
*/
int liba_pid_fuzzy_die(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        lua_alloc(L, ctx->me, 0);
        lua_alloc(L, ctx->mec, 0);
        lua_alloc(L, ctx->mkp, 0);
        lua_alloc(L, ctx->mki, 0);
        lua_alloc(L, ctx->mkd, 0);
        lua_alloc(L, a_pid_fuzzy_bfuzz(ctx), 0);
        ctx->me = 0;
        ctx->mec = 0;
        ctx->mkp = 0;
        ctx->mki = 0;
        ctx->mkd = 0;
        ctx->idx = 0;
        ctx->val = 0;
    }
    return 0;
}

/***
 constructor for fuzzy PID controller
 @treturn a.pid_fuzzy fuzzy PID controller userdata
 @function new
*/
int liba_pid_fuzzy_new(lua_State *L)
{
    a_pid_fuzzy *const ctx = lua_newclass(L, a_pid_fuzzy);
    lua_registry_get(L, liba_pid_fuzzy_new);
    lua_setmetatable(L, -2);
    ctx->pid.kp = ctx->kp = 1;
    ctx->pid.ki = ctx->ki = 0;
    ctx->pid.kd = ctx->kd = 0;
    ctx->pid.summax = +A_FLOAT_INF;
    ctx->pid.summin = -A_FLOAT_INF;
    ctx->pid.outmax = +A_FLOAT_INF;
    ctx->pid.outmin = -A_FLOAT_INF;
    ctx->me = 0;
    ctx->mec = 0;
    ctx->mkp = 0;
    ctx->mki = 0;
    ctx->mkd = 0;
    ctx->idx = 0;
    ctx->val = 0;
    ctx->nrule = 0;
    ctx->nfuzz = 0;
    ctx->opr = a_fuzzy_equ;
    a_pid_fuzzy_init(ctx);
    return 1;
}

/***
 initialize for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @treturn a.pid_fuzzy fuzzy PID controller userdata
 @function init
*/
int liba_pid_fuzzy_init(lua_State *L)
{
    luaL_checktype(L, 1, LUA_TUSERDATA);
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    ctx->pid.kp = ctx->kp = 1;
    ctx->pid.ki = ctx->ki = 0;
    ctx->pid.kd = ctx->kd = 0;
    ctx->pid.summax = +A_FLOAT_INF;
    ctx->pid.summin = -A_FLOAT_INF;
    ctx->pid.outmax = +A_FLOAT_INF;
    ctx->pid.outmin = -A_FLOAT_INF;
    ctx->opr = a_fuzzy_equ;
    a_pid_fuzzy_init(ctx);
    return 1;
}

/***
 set fuzzy relational operator for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @tparam int opr enumeration for fuzzy PID controller operator
 @treturn a.pid_fuzzy fuzzy PID controller userdata
 @function set_opr
*/
int liba_pid_fuzzy_set_opr(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        a_pid_fuzzy_set_opr(ctx, (unsigned int)luaL_checkinteger(L, 2));
        lua_pushvalue(L, 1);
        return 1;
    }
    return 0;
}

/***
 set memory block for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @tparam int num maximum number triggered by the rule
 @treturn a.pid_fuzzy fuzzy PID controller userdata
 @function set_nfuzz
*/
int liba_pid_fuzzy_set_nfuzz(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        unsigned int const num = (unsigned int)luaL_checkinteger(L, 2);
        void *ptr = lua_alloc(L, a_pid_fuzzy_bfuzz(ctx), A_PID_FUZZY_BFUZZ(num));
        a_pid_fuzzy_set_bfuzz(ctx, ptr, num);
        lua_pushvalue(L, 1);
        return 1;
    }
    return 0;
}

/***
 set rule base for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @tparam table me points to membership function parameter table, terminated by 0
 @tparam table mec points to membership function parameter table, terminated by 0
 @tparam table mkp points to Kp's rule base table which must be a square matrix
 @tparam table mki points to Ki's rule base table which must be a square matrix
 @tparam table mkd points to Kd's rule base table which must be a square matrix
 @treturn a.pid_fuzzy fuzzy PID controller userdata
 @function set_rule
*/
int liba_pid_fuzzy_set_rule(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        unsigned int const num = (unsigned int)lua_rawlen(L, 2);
        a_float const *const me = lua_table_num_get(L, 2, ctx->me, 0);
        a_float const *const mec = lua_table_num_get(L, 3, ctx->mec, 0);
        a_float const *const mkp = lua_table_num_get(L, 4, ctx->mkp, 0);
        a_float const *const mki = lua_table_num_get(L, 5, ctx->mki, 0);
        a_float const *const mkd = lua_table_num_get(L, 6, ctx->mkd, 0);
        a_pid_fuzzy_set_rule(ctx, num, me, mec, mkp, mki, mkd);
        lua_pushvalue(L, 1);
        return 1;
    }
    return 0;
}

/***
 set proportional integral derivative constant for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @tparam number kp proportional constant
 @tparam number ki integral constant
 @tparam number kd derivative constant
 @treturn a.pid_fuzzy fuzzy PID controller userdata
 @function set_kpid
*/
int liba_pid_fuzzy_set_kpid(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        a_float const kp = (a_float)luaL_checknumber(L, 2);
        a_float const ki = (a_float)luaL_checknumber(L, 3);
        a_float const kd = (a_float)luaL_checknumber(L, 4);
        a_pid_fuzzy_set_kpid(ctx, kp, ki, kd);
        lua_pushvalue(L, 1);
        return 1;
    }
    return 0;
}

/***
 calculate for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @tparam number set setpoint value
 @tparam number fdb feedback value
 @treturn number setpoint value
 @function run
*/
int liba_pid_fuzzy_run(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        a_float const set = (a_float)luaL_checknumber(L, 2);
        a_float const fdb = (a_float)luaL_checknumber(L, 3);
        lua_pushnumber(L, (lua_Number)a_pid_fuzzy_run(ctx, set, fdb));
        return 1;
    }
    return 0;
}

/***
 calculate for positional fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @tparam number set setpoint value
 @tparam number fdb feedback value
 @treturn number output value
 @function pos
*/
int liba_pid_fuzzy_pos(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        a_float const set = (a_float)luaL_checknumber(L, 2);
        a_float const fdb = (a_float)luaL_checknumber(L, 3);
        lua_pushnumber(L, (lua_Number)a_pid_fuzzy_pos(ctx, set, fdb));
        return 1;
    }
    return 0;
}

/***
 calculate for incremental fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @tparam number set setpoint value
 @tparam number fdb feedback value
 @treturn number output value
 @function inc
*/
int liba_pid_fuzzy_inc(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        a_float const set = (a_float)luaL_checknumber(L, 2);
        a_float const fdb = (a_float)luaL_checknumber(L, 3);
        lua_pushnumber(L, (lua_Number)a_pid_fuzzy_inc(ctx, set, fdb));
        return 1;
    }
    return 0;
}

/***
 zeroing for fuzzy PID controller
 @tparam a.pid_fuzzy ctx fuzzy PID controller userdata
 @treturn a.pid_fuzzy fuzzy PID controller userdata
 @function zero
*/
int liba_pid_fuzzy_zero(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    if (ctx)
    {
        a_pid_fuzzy_zero(ctx);
        return 1;
    }
    return 0;
}

static int liba_pid_fuzzy_set(lua_State *L)
{
    a_pid_fuzzy *const ctx = (a_pid_fuzzy *)lua_touserdata(L, 1);
    switch (a_hash_bkdr(lua_tostring(L, 2), 0))
    {
    case 0x00003731: // kp
        ctx->pid.kp = ctx->kp = (a_float)luaL_checknumber(L, 3);
        break;
    case 0x0000372A: // ki
        ctx->pid.ki = ctx->ki = (a_float)luaL_checknumber(L, 3);
        break;
    case 0x00003725: // kd
        ctx->pid.kd = ctx->kd = (a_float)luaL_checknumber(L, 3);
        break;
    case 0x10E9FF9D: // summax
        ctx->pid.summax = (a_float)luaL_checknumber(L, 3);
        break;
    case 0x10EA03AB: // summin
        ctx->pid.summin = (a_float)luaL_checknumber(L, 3);
        break;
    case 0x23C8F10E: // outmax
        ctx->pid.outmax = (a_float)luaL_checknumber(L, 3);
        break;
    case 0x23C8F51C: // outmin
        ctx->pid.outmin = (a_float)luaL_checknumber(L, 3);
        break;
    case 0x98AE2495: // nfuzz
    {
        unsigned int const num = (unsigned int)luaL_checkinteger(L, 3);
        void *ptr = lua_alloc(L, a_pid_fuzzy_bfuzz(ctx), A_PID_FUZZY_BFUZZ(num));
        a_pid_fuzzy_set_bfuzz(ctx, ptr, num);
        break;
    }
    case 0xE8859EEB: // __name
    case 0xE70C48C6: // __call
    case 0xA65758B2: // __index
    case 0xAEB551C6: // __newindex
        break;
    default:
        lua_getmetatable(L, 1);
        lua_replace(L, 1);
        lua_rawset(L, 1);
    }
    return 0;
}

static int liba_pid_fuzzy_get(lua_State *L)
{
    a_pid_fuzzy const *const ctx = (a_pid_fuzzy const *)lua_touserdata(L, 1);
    switch (a_hash_bkdr(lua_tostring(L, 2), 0))
    {
    case 0x00003731: // kp
        lua_pushnumber(L, (lua_Number)ctx->kp);
        break;
    case 0x0000372A: // ki
        lua_pushnumber(L, (lua_Number)ctx->ki);
        break;
    case 0x00003725: // kd
        lua_pushnumber(L, (lua_Number)ctx->kd);
        break;
    case 0x10E9FF9D: // summax
        lua_pushnumber(L, (lua_Number)ctx->pid.summax);
        break;
    case 0x10EA03AB: // summin
        lua_pushnumber(L, (lua_Number)ctx->pid.summin);
        break;
    case 0x001E5957: // sum
        lua_pushnumber(L, (lua_Number)ctx->pid.sum);
        break;
    case 0x23C8F10E: // outmax
        lua_pushnumber(L, (lua_Number)ctx->pid.outmax);
        break;
    case 0x23C8F51C: // outmin
        lua_pushnumber(L, (lua_Number)ctx->pid.outmin);
        break;
    case 0x001D4D3A: // out
        lua_pushnumber(L, (lua_Number)ctx->pid.out);
        break;
    case 0x001AE924: // fdb
        lua_pushnumber(L, (lua_Number)ctx->pid.fdb);
        break;
    case 0x001AAD55: // err
        lua_pushnumber(L, (lua_Number)ctx->pid.err);
        break;
    case 0x9A49C09A: // nrule
        lua_pushinteger(L, (lua_Integer)ctx->nrule);
        break;
    case 0x98AE2495: // nfuzz
        lua_pushinteger(L, (lua_Integer)ctx->nfuzz);
        break;
    case 0xA65758B2: // __index
        lua_registry_get(L, liba_pid_fuzzy_new);
        lua_num_set(L, -1, "kp", ctx->kp);
        lua_num_set(L, -1, "ki", ctx->ki);
        lua_num_set(L, -1, "kd", ctx->kd);
        lua_num_set(L, -1, "summax", ctx->pid.summax);
        lua_num_set(L, -1, "summin", ctx->pid.summin);
        lua_num_set(L, -1, "sum", ctx->pid.sum);
        lua_num_set(L, -1, "outmax", ctx->pid.outmax);
        lua_num_set(L, -1, "outmin", ctx->pid.outmin);
        lua_num_set(L, -1, "out", ctx->pid.out);
        lua_num_set(L, -1, "fdb", ctx->pid.fdb);
        lua_num_set(L, -1, "err", ctx->pid.err);
        lua_int_set(L, -1, "nrule", (lua_Integer)ctx->nrule);
        lua_int_set(L, -1, "nfuzz", (lua_Integer)ctx->nfuzz);
        break;
    default:
        lua_getmetatable(L, 1);
        lua_replace(L, 1);
        lua_rawget(L, 1);
    }
    return 1;
}

static int liba_pid_fuzzy_(lua_State *L)
{
    lua_pushcfunction(L, liba_pid_fuzzy_new);
    lua_replace(L, 1);
    lua_call(L, lua_gettop(L) - 1, 1);
    return 1;
}

int luaopen_liba_pid_fuzzy(lua_State *L)
{
    /***
     enumeration for fuzzy relational operator
     @field CAP         min(a,b)
     @field CAP_ALGEBRA a*b
     @field CAP_BOUNDED max(a+b-1,0)
     @field CUP         max(a,b)
     @field CUP_ALGEBRA a+b-a*b
     @field CUP_BOUNDED min(a+b,1)
     @field EQU         sqrt(a,b)*sqrt(1-(1-a)*(1-b))
     @table op
    */
    static lua_int const enums[] = {
        {"CAP", A_PID_FUZZY_CAP},
        {"CAP_ALGEBRA", A_PID_FUZZY_CAP_ALGEBRA},
        {"CAP_BOUNDED", A_PID_FUZZY_CAP_BOUNDED},
        {"CUP", A_PID_FUZZY_CUP},
        {"CUP_ALGEBRA", A_PID_FUZZY_CUP_ALGEBRA},
        {"CUP_BOUNDED", A_PID_FUZZY_CUP_BOUNDED},
        {"EQU", A_PID_FUZZY_EQU},
    };
    static lua_fun const funcs[] = {
        {"new", liba_pid_fuzzy_new},
        {"init", liba_pid_fuzzy_init},
        {"set_opr", liba_pid_fuzzy_set_opr},
        {"set_nfuzz", liba_pid_fuzzy_set_nfuzz},
        {"set_rule", liba_pid_fuzzy_set_rule},
        {"set_kpid", liba_pid_fuzzy_set_kpid},
        {"run", liba_pid_fuzzy_run},
        {"pos", liba_pid_fuzzy_pos},
        {"inc", liba_pid_fuzzy_inc},
        {"zero", liba_pid_fuzzy_zero},
    };
    lua_createtable(L, 0, A_LEN(enums) + A_LEN(funcs));
    lua_int_reg(L, -1, enums, A_LEN(enums));
    lua_fun_reg(L, -1, funcs, A_LEN(funcs));
    lua_createtable(L, 0, 1);
    lua_fun_set(L, -1, "__call", liba_pid_fuzzy_);
    lua_setmetatable(L, -2);

    static lua_fun const metas[] = {
        {"__newindex", liba_pid_fuzzy_set},
        {"__index", liba_pid_fuzzy_get},
#if defined(LUA_VERSION_NUM) && (LUA_VERSION_NUM > 503)
        {"__close", liba_pid_fuzzy_die},
#endif /* LUA_VERSION_NUM */
        {"__gc", liba_pid_fuzzy_die},
    };
    lua_createtable(L, 0, A_LEN(metas) + A_LEN(funcs) + 1);
    lua_fun_reg(L, -1, metas, A_LEN(metas));
    lua_fun_reg(L, -1, funcs, A_LEN(funcs));
    lua_str_set(L, -1, "__name", "a.pid_fuzzy");
    lua_registry_set(L, liba_pid_fuzzy_new);

    return 1;
}