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tamguimatrix.h
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/*
* Tamgu (탐구)
*
* Copyright 2019-present NAVER Corp.
* under BSD 3-clause
*/
/* --- CONTENTS ---
Project : Tamgu (탐구)
Version : See tamgu.cxx for the version number
filename : tamguimatrix.h
Date : 2017/09/01
Purpose :
Programmer : Claude ROUX (claude.roux@naverlabs.com)
Reviewer :
*/
#ifndef tamguimatrix_h
#define tamguimatrix_h
#include "tamgu.h"
#include "vecte.h"
#include "tamgustring.h"
#include "matrix.h"
#ifdef WIN32
#include <math.h>
#endif
#define NMAX 100
#define TINY 1.5e-16
#define REAL double
#define ZERO (double)0.0
#define ONE (double)1.0
#define TWO (double)2.0
#ifdef UNIX
#include <math.h>
#include <float.h>
#define ABS(x) fabs((double)x)
#define TRUE true
#define FALSE false
#else
#define ABS(x) abs((double)x)
#endif
//We create a map between our methods, which have been declared in our class below. See MethodInitialization for an example
//of how to declare a new method.
class Tamguimatrix;
//This typedef defines a type "imatrixMethod", which expose the typical parameters of a new Tamgu method implementation
typedef Tamgu* (Tamguimatrix::*imatrixMethod)(Tamgu* contextualpattern, short idthread, TamguCall* callfunc);
//---------------------------------------------------------------------------------------------------------------------
//---------------------------------------------------------------------------------------------------------------------
class Tamguimatrix : public TamguObject {
public:
//We export the methods that will be exposed for our new object
//this is a static object, which is common to everyone
//We associate the method pointers with their names in the linkedmethods map
static Exchanging basebin_hash<imatrixMethod> methods;
static Exchanging short idtype;
//---------------------------------------------------------------------------------------------------------------------
//This SECTION is for your specific implementation...
//Your personal variables here...
TAMGUIMATRIX<TAMGUILINEINTEGER> values;
long rowsize;
long columnsize;
//---------------------------------------------------------------------------------------------------------------------
Tamguimatrix(TamguGlobal* g, Tamgu* parent = NULL) : TamguObject(g, parent) {
investigate |= is_number;
//Do not forget your variable initialisation
}
Tamguimatrix() {
investigate |= is_number;
//Do not forget your variable initialisation
}
void Methods(Tamgu* v) {
for (const auto& it : globalTamgu->infomethods[idtype])
v->storevalue(it.first);
}
string Info(string n) {
if (globalTamgu->infomethods[idtype].find(n) != globalTamgu->infomethods[idtype].end())
return globalTamgu->infomethods[idtype][n];
return "Unknown method";
}
//----------------------------------------------------------------------------------------------------------------------
Tamgu* Put(Tamgu* v, Tamgu* i, short idthread);
Tamgu* Eval(Tamgu* context, Tamgu* v, short idthread);
short Type() {
return Tamguimatrix::idtype;
}
void Setidtype(TamguGlobal* global);
string Typename() {
return "imatrix";
}
bool isBoolean() {
return false;
}
bool isFrame() {
return false;
}
Tamgu* Atom(bool forced = false) {
return this;
}
//If it is too complex to duplicate an element (for instance when passed to a function)
//then you can use return false... Usually in that case, Atom should always be just: return this;
bool duplicateForCall() {
return false;
}
//---------------------------------------------------------------------------------------------------------------------
//Declaration
//All our methods must have been declared in tamguexportedmethods... See MethodInitialization below
bool isDeclared(short n) {
return methods.check(n);
}
Tamgu* Newinstance(short, Tamgu* f = NULL) {
return new Tamguimatrix;
}
TamguIteration* Newiteration(bool direction) {
return aITERNULL;
}
static void AddMethod(TamguGlobal* g, string name, imatrixMethod func, unsigned long arity, string infos);
static bool InitialisationModule(TamguGlobal* g, string version);
//---------------------------------------------------------------------------------------------------------------------
//This SECTION is for your specific implementation...
//This is an example of a function that could be implemented for your needs.
Tamgu* MethodInitial(Tamgu* context, short idthread, TamguCall* callfunc) {
rowsize = callfunc->Evaluate(0, context, idthread)->Integer(); //would match i as in the example above: mynewtype toto(i,j);
columnsize = 1;
if (callfunc->Size() == 2)
columnsize = callfunc->Evaluate(1, context, idthread)->Integer(); //would match j as in the example above: mynewtype toto(i,j);
values.init(rowsize);
return aTRUE;
}
Tamgu* MethodTransposed(Tamgu* contextualpattern, short idthread, TamguCall* callfunc);
Tamgu* MethodMatrixSize(Tamgu* contextualpattern, short idthread, TamguCall* callfunc);
Tamgu* MethodDeterminant(Tamgu* contextualpattern, short idthread, TamguCall* callfunc);
Tamgu* MethodSum(Tamgu* contextualpattern, short idthread, TamguCall* callfunc);
Tamgu* MethodProduct(Tamgu* contextualpattern, short idthread, TamguCall* callfunc);
Tamgu* MethodInversion(Tamgu* contextualpattern, short idthread, TamguCall* callfunc);
Tamgu* MethodClear(Tamgu* contextualpattern, short idthread, TamguCall* callfunc) {
Clear();
return aTRUE;
}
Tamgu* MethodFormat(Tamgu* contextualpattern, short idthread, TamguCall* callfunc) {
locking();
string sep=callfunc->Evaluate(0,contextualpattern,idthread)->String();
string nxt=callfunc->Evaluate(1,contextualpattern,idthread)->String();
string zro=callfunc->Evaluate(2,contextualpattern,idthread)->String();
stringstream buff;
for (long r = 0; r < rowsize; r++) {
for (long c = 0; c < columnsize; c++) {
if (c)
buff << sep;
if (values.check(r) && values[r].check(c))
buff << values[r][c];
else
buff << zro;
}
buff << nxt;
}
unlocking();
return globalTamgu->Providestring(buff.str());
}
//---------------------------------------------------------------------------------------------------------------------
//ExecuteMethod must be implemented in order to execute our new Tamgu methods. This method is called when a TamguCallMethodMethod object
//is returned by the Declaration method.
Tamgu* CallMethod(short idname, Tamgu* contextualpattern, short idthread, TamguCall* callfunc) {
//This call is a bit cryptic. It takes the method (function) pointer that has been associated in our map with "name"
//and run it with the proper parameters. This is the right call which should be invoked from within a class definition
locking();
contextualpattern = (this->*Tamguimatrix::methods.get(idname))(contextualpattern, idthread, callfunc);
unlocking();
return contextualpattern;
}
void cleaning() {
values.clear();
rowsize = 0;
columnsize = 0;
}
void Clear() {
values.clear();
}
void init(long rs, long cs) {
rowsize = rs;
columnsize = cs;
values.init(rs);
}
void populate(long r, long c, long val) {
if (r >= 0 && c >= 0)
values[r][c] = val;
else
globalTamgu->Returnerror(e_wrong_indexes_in02);
}
void populate(Tamgu* krow, Tamgu* kcol, Tamgu* value) {
long r = krow->Integer();
long c = kcol->Integer();
long val = value->Integer();
if (r >= 0 && c >= 0)
values[r][c] = val;
else
globalTamgu->Returnerror(e_wrong_indexes_in02);
}
void populate(Tamguimatrix* ke) {
ke->cleaning();
ke->init(rowsize, columnsize);
for (long r = 0; r < rowsize; r++) {
if (values.check(r)) {
for (long c = 0; c < columnsize; c++) {
if (values[r].check(c))
ke->values[r][c] = values[r][c];
}
}
}
}
long val(long r, long c) {
if (values.check(r) && values[r].check(c))
return values[r][c];
return 0;
}
long LUDCMP(long n, VECTE<long>& INDX, long& d, Tamguimatrix& m) {
d = 1;
double AMAX, DUM, SUM;
long I, IMAX = 0, J, K;
vector<double> VV;
for (I = 0; I < n; I++) {
AMAX = 0.0;
for (J = 0; J<n; J++) {
SUM = m.val(I, J);
if (ABS(SUM) > AMAX)
AMAX = ABS(SUM);
}
if (AMAX < TINY)
return 1;
VV.push_back(1.0 / AMAX);
} // i loop
for (J = 0; J < n; J++) {
for (I = 0; I < J; I++) {
SUM = m.val(I, J);
for (K = 0; K < I; K++)
SUM = SUM - m.val(I, K)*m.val(K, J);
m.values[I][J] = SUM;
} // i loop
AMAX = 0.0;
for (I = J; I < n; I++) {
SUM = m.val(I, J);
for (K = 0; K < J; K++)
SUM = SUM - m.val(I, K)*m.val(K, J);
m.values[I][J] = SUM;
DUM = VV[I] * ABS(SUM);
if (DUM >= AMAX) {
IMAX = I;
AMAX = DUM;
}
} // i loop
if (J != IMAX) {
for (K = 0; K < n; K++) {
DUM = m.val(IMAX, K);
m.values[IMAX][K] = m.val(J, K);
m.values[J][K] = DUM;
} // k loop
d = -d;
VV[IMAX] = VV[J];
}
INDX.at(J, IMAX);
if (ABS(m.val(J, J)) < TINY)
m.values[J][J] = TINY;
if (J != n - 1) {
DUM = 1.0 / m.val(J, J);
for (I = J + 1; I < n; I++)
m.values[I][J] *= DUM;
}
} // j loop
return 0;
} // subroutine LUDCMP
void LUBKSB(long n, VECTE<long>& INDX, VECTE<double>& B, Tamguimatrix& m) {
double SUM;
long I, II, J, LL;
II = -1;
for (I = 0; I < n; I++) {
LL = INDX[I];
SUM = B[LL];
B.at(LL, B[I]);
if (II != -1)
for (J = II; J < I; J++)
SUM = SUM - m.val(I, J)*B[J];
else
if (SUM != 0.0)
II = I;
B.at(I, SUM);
} // i loop
for (I = n - 1; I >= 0; I--) {
SUM = B[I];
if (I < n - 1) {
for (J = I + 1; J < n; J++)
SUM = SUM - m.val(I, J)*B[J];
}
B.at(I, SUM / m.val(I, I));
} // i loop
} // LUBKSB
long determinant(long rsize, long csize, TAMGUIMATRIX<TAMGUILINEINTEGER>& m) {
if (rsize == 2 && csize == 2) {
//then in that case
if (m.check(0) && m.check(1))
return (m[0][0] * m[1][1] - m[1][0] * m[0][1]);
return 0;
}
long i;
for (i = 0; i < rsize; i++) {
if (m.check(i) == false)
return 0;
}
i = 0;
long det = 0;
for (long j = 0; j < rsize; j++) {
if (!m[i].check(j) || m[i][j] == 0)
continue;
TAMGUIMATRIX<TAMGUILINEINTEGER> sub(rsize - 1);
long pc = 0;
long pr = 0;
for (long r = 0; r < rsize; r++) {
if (r == i)
continue;
pc = 0;
for (long c = 0; c < csize; c++) {
if (c == j)
continue;
sub[pr][pc] = m[r][c];
pc++;
}
pr++;
}
long sg = (long)pow(-1, (i + j + 2));
det += m[i][j] * sg*determinant(rsize - 1, csize - 1, sub);
}
return det;
}
bool inversion(Tamguimatrix& Y) {
//else Local decomposition
Y.init(rowsize, columnsize);
Tamguimatrix m(NULL, NULL);
populate(&m);
VECTE<long> INDX(rowsize);
long id;
//call LU decomposition, on the matrixbyrow values
long rc = LUDCMP(rowsize, INDX, id, m);
if (rc == 1)
return false;
VECTE<double> temp(rowsize);
long i;
//We create an identity matrix, which will contain the final result...
for (i = 0; i < rowsize; i++)
Y.values[i][i] = 1;
for (long j = 0; j < rowsize; j++) {
for (i = 0; i < rowsize; i++)
temp.at(i, Y.val(i, j));
LUBKSB(rowsize, INDX, temp, m);
for (i = 0; i < rowsize; i++) {
Y.values[i][j] = temp[i];
}
}
return true;
}
Tamguimatrix* duplicate() {
Tamguimatrix* ke = new Tamguimatrix;
for (long r = 0; r < rowsize; r++) {
if (values.check(r)) {
for (long c = 0; c < columnsize; c++) {
if (values[r].check(c))
ke->values[r][c] = values[r][c];
}
}
}
ke->rowsize = rowsize;
ke->columnsize = columnsize;
return ke;
}
string String() {
locking();
stringstream buff;
for (long r = 0; r < rowsize; r++) {
for (long c = 0; c < columnsize; c++) {
if (c)
buff << ",";
if (values.check(r) && values[r].check(c))
buff << values[r][c];
else
buff << "0";
}
buff << endl;
}
unlocking();
return buff.str();
}
void Setstring(string& v, short idthread) {
locking();
stringstream buff;
for (long r = 0; r < rowsize; r++) {
for (long c = 0; c < columnsize; c++) {
if (c)
buff << ",";
if (values.check(r) && values[r].check(c))
buff << values[r][c];
else
buff << "0";
}
buff << endl;
}
unlocking();
v = buff.str();
}
void Setstring(wstring& v, short idthread) {
locking();
std::wstringstream buff;
for (long r = 0; r < rowsize; r++) {
for (long c = 0; c < columnsize; c++) {
if (c)
buff << L",";
if (values.check(r) && values[r].check(c))
buff << values[r][c];
else
buff << L"0";
}
buff << endl;
}
unlocking();
v = buff.str();
}
long Size() {
return (rowsize*columnsize);
}
long Integer() { return Size(); }
double Float() { return Size(); }
bool Boolean() { return true; }
Tamgu* same(Tamgu* a) {
if (a->Type() != idtype)
return aFALSE;
Locking _lock(this);
Tamguimatrix* ma = this;
if (ma->rowsize != rowsize && ma->columnsize != columnsize)
return aFALSE;
for (long r = 0; r < rowsize; r++) {
if (ma->values.check(r)) {
if (!values.check(r))
return aFALSE;
for (long c = 0; c < columnsize; c++) {
if (ma->values[r].check(c)) {
if (!values[r].check(c))
return aFALSE;
if (ma->values[r][c] != values[r][c])
return aFALSE;
}
else {
if (values[r].check(c))
return aFALSE;
}
}
}
else
if (values.check(r))
return aFALSE;
}
return aTRUE;
}
Tamgu* orset(Tamgu* b, bool autoself) {
if (b->Type() != idtype)
return this;
locking();
Tamguimatrix* ma = this;
Tamguimatrix* mb = (Tamguimatrix*)b;
Tamguimatrix* res = new Tamguimatrix;
long v;
for (long r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r) && mb->values.check(r)) {
for (long c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c) && mb->values[r].check(c)) {
v = (long)ma->values[r][c] | (long)mb->values[r][c];
res->populate(r, c, (long)v);
}
}
}
}
unlocking();
return res;
}
//intersection of two sets
Tamgu* andset(Tamgu* b, bool autoself) {
if (b->Type() != idtype)
return this;
locking();
Tamguimatrix* ma = this;
Tamguimatrix* mb = (Tamguimatrix*)b;
Tamguimatrix* res = new Tamguimatrix;
long v;
for (long r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r) && mb->values.check(r)) {
for (long c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c) && mb->values[r].check(c)) {
v = (long)ma->values[r][c] & (long)mb->values[r][c];
res->populate(r, c, (long)v);
}
}
}
}
unlocking();
return res;
}
Tamgu* xorset(Tamgu* b, bool autoself) {
if (b->Type() != idtype)
return this;
locking();
Tamguimatrix* ma = this;
Tamguimatrix* mb = (Tamguimatrix*)b;
Tamguimatrix* res = new Tamguimatrix;
long v;
for (long r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r) && mb->values.check(r)) {
for (long c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c) && mb->values[r].check(c)) {
v = (long)ma->values[r][c] ^ (long)mb->values[r][c];
res->populate(r, c, (long)v);
}
}
}
}
unlocking();
return res;
}
//Beware that a might be the current element
//plus: a+b
Tamgu* plus(Tamgu* b, bool autoself) {
if (b->Type() != idtype)
return this;
locking();
Tamguimatrix* ma = this;
Tamguimatrix* mb = (Tamguimatrix*)b;
Tamguimatrix* res = new Tamguimatrix;
long v;
if (b->Type() != idtype) {
long vb = b->Integer();
for (long r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r)) {
for (long c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c)) {
v = ma->values[r][c] + vb;
res->populate(r, c, v);
}
}
}
}
unlocking();
return res;
}
for (long r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r) && mb->values.check(r)) {
for (long c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c) && mb->values[r].check(c)) {
v = ma->values[r][c] + mb->values[r][c];
res->populate(r, c, v);
}
}
}
}
unlocking();
return res;
}
//minus: a-b
Tamgu* minus(Tamgu* b, bool autoself) {
if (b->Type() != idtype)
return this;
locking();
Tamguimatrix* ma = this;
Tamguimatrix* mb = (Tamguimatrix*)b;
Tamguimatrix* res = new Tamguimatrix;
long v;
if (b->Type() != idtype) {
long vb = b->Integer();
for (long r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r)) {
for (long c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c)) {
v = ma->values[r][c] - vb;
res->populate(r, c, v);
}
}
}
}
unlocking();
return res;
}
for (long r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r) && mb->values.check(r)) {
for (long c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c) && mb->values[r].check(c)) {
v = ma->values[r][c] - mb->values[r][c];
res->populate(r, c, v);
}
}
}
}
unlocking();
return res;
}
Tamgu* multiply(Tamgu* b, bool autoself) {
if (b->Type() != idtype)
return this;
locking();
Tamguimatrix* ma = this;
Tamguimatrix* res = new Tamguimatrix;
long v;
long r, c, k;
if (b->Type() != idtype) {
long vb = b->Integer();
for (r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r)) {
for (c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c)) {
v = ma->values[r][c] * vb;
res->populate(r, c, v);
}
}
}
}
unlocking();
return res;
}
Tamguimatrix* mb = (Tamguimatrix*)b;
if (ma->columnsize != mb->rowsize) {
unlocking();
return globalTamgu->Returnerror("MAT(209): Matrix size mismatch");
}
res->init(ma->rowsize, mb->columnsize);
for (r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r)) {
for (c = 0; c < mb->columnsize; c++) {
v = 0;
for (k = 0; k < ma->columnsize; k++) {
if (ma->values[r].check(k) && mb->values.check(k) && mb->values[k].check(c))
v += ma->values[r][k] * mb->values[k][c];
}
res->populate(r, c, v);
}
}
}
unlocking();
return res;
}
//Division: a/b
Tamgu* divide(Tamgu* b, bool autoself) {
if (b->Type() != idtype)
return this;
locking();
Tamguimatrix* ma = this;
Tamguimatrix* res = new Tamguimatrix;
long v;
long r;
long c;
if (b->Type() != idtype) {
long vb = b->Integer();
if (vb == 0) {
unlocking();
return globalTamgu->Returnerror("MAT(203): Cannot divide by 0", globalTamgu->GetThreadid());
}
for (r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r)) {
for (c = 0; c < ma->columnsize; c++) {
if (ma->values[r].check(c)) {
v = ma->values[r][c] / vb;
res->populate(r, c, v);
}
}
}
}
unlocking();
return res;
}
Tamguimatrix* mb = (Tamguimatrix*)b;
Tamguimatrix inverted(NULL, NULL);
if (!mb->inversion(inverted)) {
unlocking();
return globalTamgu->Returnerror("MAT(202): Cannot divide with this matrix", globalTamgu->GetThreadid());
}
if (ma->columnsize != inverted.rowsize) {
unlocking();
return globalTamgu->Returnerror("MAT(202): Cannot divide with this matrix", globalTamgu->GetThreadid());
}
long k;
for (r = 0; r < ma->rowsize; r++) {
if (ma->values.check(r)) {
for (c = 0; c < inverted.columnsize; c++) {
v = 0;
for (k = 0; k < ma->columnsize; k++) {
if (ma->values[r].check(k) && inverted.values.check(k) && inverted.values[k].check(c))
v += ma->values[r][k] * inverted.values[k][c];
}
res->populate(r, c, v);
}
}
}
res->rowsize = ma->rowsize;
res->columnsize = inverted.columnsize;
unlocking();
return res;
}
Tamgu* divideinteger(Tamgu* b, bool autoself) {
return divide(b, autoself);
}
};
class TamguIterationimatrix : public TamguIteration {
public:
Tamguimatrix* value;
long r;
long c;
long mr, mc;
TamguIterationimatrix(Tamguimatrix* v, bool d, TamguGlobal* g = NULL) : TamguIteration(d, g) {
value = v;
}
Tamgu* Key() {
char buff[100];
sprintf_s(buff, 100, "%ld:%ld", r, c);
return new Tamgustring(buff);
}
Tamgu* Value() {
long v = 0;
if (value->values.check(r) && value->values[r].check(c))
v = value->values[r][c];
return globalTamgu->ProvideConstint(v);
}
string Valuestring() {
long v = 0;
if (value->values.check(r) && value->values[r].check(c))
v = value->values[r][c];
return convertfromnumber(v);
}
long Valueinteger() {
long v = 0;
if (value->values.check(r) && value->values[r].check(c))
v = value->values[r][c];
return v;
}
double Valuefloat() {
double v = 0;
if (value->values.check(r) && value->values[r].check(c))
v = (double)value->values[r][c];
return v;
}
void Next() {
r++;
if (r == mr) {
mc++;
r = 0;
}
}
Tamgu* End() {
if (r == mr && c == mc)
return aTRUE;
return aFALSE;
}
Tamgu* Begin() {
r = 0;
c = 0;
mr = value->rowsize;
mc = value->columnsize;
if (!mr && !mc)
return aFALSE;
return aTRUE;
}
};
#endif