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#include "Mutils.h"
#include "triplet_to_col.h"
#include <R_ext/Lapack.h>

char norm_type(char *typstr)
{
    char typup;

    if (strlen(typstr) != 1)
    error(
        _("argument type[1]='%s' must be a character string of string length 1"),
        typstr);
    typup = toupper(*typstr);
    if (typup == '1') typup = 'O'; /* aliases */
    if (typup == 'E') typup = 'F';
    if (typup != 'M' && typup != 'O' && typup != 'I' && typup != 'F')
    error(_("argument type[1]='%s' must be one of 'M','1','O','I','F' or 'E'"),
          typstr);
    return typup;
}

char rcond_type(char *typstr)
{
    char typup;

    if (strlen(typstr) != 1)
    error(_("argument type[1]='%s' must be a character string of string length 1"),
          typstr);
    typup = toupper(*typstr);
    if (typup == '1') typup = 'O'; /* alias */
    if (typup != 'O' && typup != 'I')
    error(_("argument type[1]='%s' must be one of '1','O', or 'I'"),
          typstr);
    return typup;
}

double get_double_by_name(SEXP obj, char *nm)
{
    SEXP nms = getAttrib(obj, R_NamesSymbol);
    int i, len = length(obj);

    if ((!isReal(obj)) || (length(obj) > 0 && nms == R_NilValue))
    error(_("object must be a named, numeric vector"));
    for (i = 0; i < len; i++) {
    if (!strcmp(nm, CHAR(STRING_ELT(nms, i)))) {
        return REAL(obj)[i];
    }
    }
    return R_NaReal;
}

SEXP
set_double_by_name(SEXP obj, double val, char *nm)
{
    SEXP nms = getAttrib(obj, R_NamesSymbol);
    int i, len = length(obj);

    if ((!isReal(obj)) || (length(obj) > 0 && nms == R_NilValue))
    error("object must be a named, numeric vector");
    for (i = 0; i < len; i++) {
    if (!strcmp(nm, CHAR(STRING_ELT(nms, i)))) {
        REAL(obj)[i] = val;
        return obj;
    }
    }
    {
    SEXP nx = PROTECT(allocVector(REALSXP, len + 1)),
        nnms = allocVector(STRSXP, len + 1);

    setAttrib(nx, R_NamesSymbol, nnms);
    for (i = 0; i < len; i++) {
        REAL(nx)[i] = REAL(obj)[i];
        SET_STRING_ELT(nnms, i, duplicate(STRING_ELT(nms, i)));
    }
    REAL(nx)[len] = val;
    SET_STRING_ELT(nnms, len, mkChar(nm));
    UNPROTECT(1);
    return nx;
    }
}

SEXP as_det_obj(double val, int log, int sign)
{
    SEXP det = PROTECT(allocVector(VECSXP, 2)),
    nms = allocVector(STRSXP, 2),
    vv = ScalarReal(val);

    setAttrib(det, R_NamesSymbol, nms);
    SET_STRING_ELT(nms, 0, mkChar("modulus"));
    SET_STRING_ELT(nms, 1, mkChar("sign"));
    setAttrib(vv, install("logarithm"), ScalarLogical(log));
    SET_VECTOR_ELT(det, 0, vv);
    SET_VECTOR_ELT(det, 1, ScalarInteger(sign));
    setAttrib(det, R_ClassSymbol, mkString("det"));
    UNPROTECT(1);
    return det;
}

SEXP get_factors(SEXP obj, char *nm)
{
    SEXP fac = GET_SLOT(obj, Matrix_factorSym),
    nms = getAttrib(fac, R_NamesSymbol);
    int i, len = length(fac);

    if ((!isNewList(fac)) || (length(fac) > 0 && nms == R_NilValue))
    error("factors slot must be a named list");
    for (i = 0; i < len; i++) {
    if (!strcmp(nm, CHAR(STRING_ELT(nms, i)))) {
        return VECTOR_ELT(fac, i);
    }
    }
    return R_NilValue;
}

SEXP set_factors(SEXP obj, SEXP val, char *nm)
{
    SEXP fac = GET_SLOT(obj, Matrix_factorSym),
    nms = getAttrib(fac, R_NamesSymbol), nfac, nnms;
    int i, len = length(fac);

    if ((!isNewList(fac)) || (length(fac) > 0 && nms == R_NilValue))
    error("factors slot must be a named list");
    for (i = 0; i < len; i++) {
    if (!strcmp(nm, CHAR(STRING_ELT(nms, i)))) {
        SET_VECTOR_ELT(fac, i, duplicate(val));
        return val;
    }
    }
    nfac = PROTECT(allocVector(VECSXP, len + 1));
    nnms = PROTECT(allocVector(STRSXP, len + 1));
    setAttrib(nfac, R_NamesSymbol, nnms);
    for (i = 0; i < len; i++) {
    SET_VECTOR_ELT(nfac, i, VECTOR_ELT(fac, i));
    SET_STRING_ELT(nnms, i, duplicate(STRING_ELT(nms, i)));
    }
    SET_VECTOR_ELT(nfac, len, duplicate(val));
    SET_STRING_ELT(nnms, len, mkChar(nm));
    SET_SLOT(obj, Matrix_factorSym, nfac);
    UNPROTECT(2);
    return val;
}

/*MM: this is useful for all the ..CMatrix classes
  (and ..R by [0] <-> [1]): */
SEXP dgCMatrix_set_Dim(SEXP x, int nrow)
{
    int *dims = INTEGER(GET_SLOT(x, Matrix_DimSym));

    dims[0] = nrow;
    dims[1] = length(GET_SLOT(x, Matrix_pSym)) - 1;
    return x;
}



/**  The following two csc_ functions are identically usable for rcs__
 *
 * Check for unsorted columns in the row indices
 *
 * @param ncol number of columns
 * @param p column pointers
 * @param i row indices
 *
 * @return 0 if all columns are sorted, otherwise 1
 */
int csc_unsorted_columns(int ncol, const int p[], const int i[])
{
    int j;
    for (j = 0; j < ncol; j++) {
    int ind, lst = p[j+1] - 1;
    for (ind = p[j]; ind < lst; ind++) {
        if (i[ind] > i[ind+1]) return 1;
    }
    }
    return 0;
}

/**
 * Sort the columns in a sparse column-oriented matrix so that each
 * column is in increasing order of row index.
 *
 * @param ncol number of columns
 * @param p column pointers
 * @param i row indices
 * @param x values of nonzero elements
 */
void csc_sort_columns(int ncol, const int p[], int i[], double x[])
{
    int j, maxdiff, *ord;
    double *dd = (double *) NULL;

    maxdiff = -1;
    for (j = 0; j < ncol; j++) {
    int diff = p[j+1] - p[j];
    if (diff > maxdiff) maxdiff = diff;
    }
    ord = Calloc(maxdiff, int);
    if (x) dd = Calloc(maxdiff, double);
    for (j = 0; j < ncol; j++) {
    int cLen = p[j+1] - p[j];
    if (cLen > 1) {
        int k, offset = p[j];
        for (k = 0; k < cLen; k++) ord[k] = k;
        R_qsort_int_I(i + offset, ord, 1, cLen);
        if (x) {
        for (k = 0; k < cLen; k++) dd[k] = x[ord[k] + offset];
        Memcpy(x + offset, dd, cLen);
        }
    }
    }
    Free(ord);
    if (x) Free(dd);
}

/**
 * Check for sorted columns in an object that inherits from the
 * dgCMatrix class.  Resort the columns if necessary.
 *
 * @param m pointer to an object that inherits from the dgCMatrix class
 *
 * @return m with the columns sorted by increasing row index
 */
SEXP csc_check_column_sorting(SEXP m)
{
    int *mp = INTEGER(GET_SLOT(m, Matrix_pSym)),
    *mi = INTEGER(GET_SLOT(m, Matrix_iSym)),
    ncol = INTEGER(GET_SLOT(m, Matrix_DimSym))[1];

    if (csc_unsorted_columns(ncol, mp, mi))
    csc_sort_columns(ncol, mp, mi, REAL(GET_SLOT(m, Matrix_xSym)));
    return m;
}

SEXP triple_as_SEXP(int nrow, int ncol, int nz,
            const int Ti [], const int Tj [], const double Tx [],
            char *Rclass)
{
    SEXP val = PROTECT(NEW_OBJECT(MAKE_CLASS(Rclass)));
    int *Ai, *Ap;
    double *Ax;

    SET_SLOT(val, Matrix_pSym, allocVector(INTSXP, ncol + 1));
    Ap = INTEGER(GET_SLOT(val, Matrix_pSym));
    Ai = Calloc(nz, int); Ax = Calloc(nz, double);
    triplet_to_col(nrow, ncol, nz, Ti, Tj, Tx, Ap, Ai, Ax);
    nz = Ap[ncol];
    SET_SLOT(val, Matrix_iSym, allocVector(INTSXP, nz));
    Memcpy(INTEGER(GET_SLOT(val, Matrix_iSym)), Ai, nz); Free(Ai);
    SET_SLOT(val, Matrix_xSym, allocVector(REALSXP, nz));
    Memcpy(REAL(GET_SLOT(val, Matrix_xSym)), Ax, nz); Free(Ax);
    SET_SLOT(val, Matrix_factorSym, allocVector(VECSXP, 0));
    UNPROTECT(1);
    return dgCMatrix_set_Dim(val, nrow);
}

/* Create the components of the transpose of a csc matrix from its components */

void csc_compTr(int m, int n, int nnz,
        const int xp[], const int xi[],
        const double xx[],
        int ap[], int ai[], double ax[])
{
    int k, kk,
    *ind = (int *) R_alloc(nnz, sizeof(int)),
    *aj = (int *) R_alloc(nnz, sizeof(int));

    Memcpy(aj, xi, nnz);    /* copy xi into aj and sort */
    for (k = 0; k < nnz; k++) ind[k] = k;
    R_qsort_int_I(aj, ind, 1, nnz);

    ap[0] = 0; kk = 0;      /* generate ap from aj */
    for (k = 1; k < m; k++) {
    while (aj[kk] < k) kk++;
    ap[k] = kk;
    }
    ap[m] = nnz;

    for (k = 0; k < n; k++) { /* overwrite aj with (implicit) xj */
    for (kk = xp[k]; kk < xp[k+1]; kk++) aj[kk] = k;
    }
    for (k = 0; k < nnz; k++) { /* write ax and ai from xx and xj */
    kk = ind[k];
    ax[k] = xx[kk];
    ai[k] = aj[kk];
    }
    if (csc_unsorted_columns(m, ap, ai)) csc_sort_columns(m, ap, ai, ax);
}

void ssc_symbolic_permute(int n, int upper, const int perm[],
              int Ap[], int Ai[])
{
    int
    j, k,
    nnz = Ap[n],
    *Aj = Calloc(nnz, int),
    *ord = Calloc(nnz, int),
    *ii = Calloc(nnz, int);

    for (j = 0; j < n; j++) {
    int pj = perm[j];
    for (k = Ap[j]; k < Ap[j+1]; k++) {
        Aj[k] = pj;
    }
    }
    for (k = 0; k < nnz; k++) {
    Ai[k] = perm[Ai[k]];
    ord[k] = k;
    if ((upper && Ai[k] > Aj[k]) || (!upper && Ai[k] < Aj[k])) {
        int tmp = Ai[k]; Ai[k] = Aj[k]; Aj[k] = tmp;
    }
    }
    R_qsort_int_I(Aj, ord, 1, nnz); /* sort Aj carrying along ind */

    k = nnz - 1;
    for (j = n - 1; j >= 0; j--) {  /* generate new Ap */
    for(; k >= 0 && Aj[k] >= j; k--) Ap[j] = k;
    }
    for (k = 0; k < nnz; k++) ii[k] = Ai[ord[k]];
    Memcpy(Ai, ii, nnz);
    for (j = 0; j < n; j++) R_isort(Ai + Ap[j], Ap[j+1] - Ap[j]);
    Free(Aj); Free(ord); Free(ii);
}

/* FIXME: make this work for double/logical/int/complex
 *        maybe checking CHAR(asChar(getAttrib(x, R_ClassSymbol)))[0]
 *        for 'd', 'l', 'i', or 'z' */
void make_array_triangular(double *to, SEXP from)
{
/* fill in the "trivial remainder" in  n*m  array ;
 *  typically the 'x' slot of a "dtrMatrix" : */

    int i, j, *dims = INTEGER(GET_SLOT(from, Matrix_DimSym));
    int n = dims[0], m = dims[1];

    if (*uplo_P(from) == 'U') {
    for (j = 0; j < n; j++) {
        for (i = j+1; i < m; i++) {
        to[i + j*m] = 0.;
        }
    }
    } else {
    for (j = 1; j < n; j++) {
        for (i = 0; i < j && i < m; i++) {
        to[i + j*m] = 0.;
        }
    }
    }
    if (*diag_P(from) == 'U') {
    j = (n < m) ? n : m;
    for (i = 0; i < j; i++) {
        to[i * (m + 1)] = 1.;
    }
    }
}

/**
 * Create a named vector of type TYP
 *
 * @param TYP a vector SEXP type (e.g. REALSXP)
 * @param names names of list elements with null string appended
 *
 * @return pointer to a named vector of type TYP
 */
SEXP
Matrix_make_named(int TYP, char **names)
{
    SEXP ans, nms;
    int i, n;

    for (n = 0; strlen(names[n]) > 0; n++) {}
    ans = PROTECT(allocVector(TYP, n));
    nms = PROTECT(allocVector(STRSXP, n));
    for (i = 0; i < n; i++) SET_STRING_ELT(nms, i, mkChar(names[i]));
    setAttrib(ans, R_NamesSymbol, nms);
    UNPROTECT(2);
    return ans;
}

/**
 * Allocate a 3-dimensional array
 *
 * @param mode The R mode (e.g. INTSXP)
 * @param nrow number of rows
 * @param ncol number of columns
 * @param nface number of faces
 *
 * @return A 3-dimensional array of the indicated dimensions and mode
 */
SEXP alloc3Darray(SEXPTYPE mode, int nrow, int ncol, int nface)
{
    SEXP s, t;
    int n;

    if (nrow < 0 || ncol < 0 || nface < 0)
    error(_("negative extents to 3D array"));
    if ((double)nrow * (double)ncol * (double)nface > INT_MAX)
    error(_("alloc3Darray: too many elements specified"));
    n = nrow * ncol * nface;
    PROTECT(s = allocVector(mode, n));
    PROTECT(t = allocVector(INTSXP, 3));
    INTEGER(t)[0] = nrow;
    INTEGER(t)[1] = ncol;
    INTEGER(t)[2] = nface;
    setAttrib(s, R_DimSymbol, t);
    UNPROTECT(2);
    return s;
}

/**
 * Expand a column of a compressed, sparse, column-oriented matrix.
 *
 * @param dest array to hold the result
 * @param m number of rows in the matrix
 * @param j index (0-based) of column to expand
 * @param Ap array of column pointers
 * @param Ai array of row indices
 * @param Ax array of non-zero values
 *
 * @return dest
 */
double *expand_csc_column(double *dest, int m, int j,
              const int Ap[], const int Ai[], const double Ax[])
{
    int k, k2 = Ap[j + 1];

    for (k = 0; k < m; k++) dest[k] = 0.;
    for (k = Ap[j]; k < k2; k++) dest[Ai[k]] = Ax[k];
    return dest;
}

#define Matrix_Error_Bufsiz    4096

SEXP check_scalar_string(SEXP sP, char *vals, char *nm)
{
    SEXP val = ScalarLogical(1);
    char *buf, *str;
    /* only allocate when needed: in good case, none is needed */
#define SPRINTF buf = Calloc(Matrix_Error_Bufsiz, char); sprintf

    if (length(sP) != 1) {
    SPRINTF(buf, _("'%s' slot must have length 1"), nm);
    } else {
    str = CHAR(STRING_ELT(sP, 0));
    if (strlen(str) != 1) {
        SPRINTF(buf, _("'%s' must have string length 1"), nm);
    } else {
        int i, len, match;
        for (i = 0, len = strlen(vals), match = 0; i < len; i++) {
        if (str[0] == vals[i])
            return R_NilValue;
        }
        SPRINTF(buf, _("'%s' must be in '%s'"), nm, vals);
    }
    }
    /* 'error' returns : */
    val = mkString(buf);
    Free(buf);
    return val;
#undef SPRINTF
}


#define PACKED_TO_FULL(TYPE)                        \
TYPE *packed_to_full_ ## TYPE(TYPE *dest, const TYPE *src,      \
                int n, enum CBLAS_UPLO uplo)            \
{                                   \
    int i, j, pos = 0;                          \
                                    \
    AZERO(dest, n*n);                           \
    for (j = 0; j < n; j++) {                       \
    switch(uplo) {                          \
    case UPP:                           \
        for (i = 0; i <= j; i++) dest[i + j * n] = src[pos++];  \
        break;                          \
    case LOW:                           \
        for (i = j; i < n; i++) dest[i + j * n] = src[pos++];   \
        break;                          \
    default:                            \
        error(_("'uplo' must be UPP or LOW"));          \
    }                               \
    }                                   \
    return dest;                            \
}

PACKED_TO_FULL(double)
PACKED_TO_FULL(int)

#define FULL_TO_PACKED(TYPE)                        \
TYPE *full_to_packed_ ## TYPE(TYPE *dest, const TYPE *src, int n,   \
              enum CBLAS_UPLO uplo, enum CBLAS_DIAG diag)   \
{                                   \
    int i, j, pos = 0;                          \
                                    \
    for (j = 0; j < n; j++) {                       \
    switch(uplo) {                          \
    case UPP:                           \
        for (i = 0; i <= j; i++)                    \
        dest[pos++] = (i == j && diag== UNT) ? 1 : src[i + j*n]; \
        break;                          \
    case LOW:                           \
        for (i = j; i < n; i++)                 \
        dest[pos++] = (i == j && diag== UNT) ? 1 : src[i + j*n]; \
        break;                          \
    default:                            \
        error(_("'uplo' must be UPP or LOW"));          \
    }                               \
    }                                   \
    return dest;                            \
}

FULL_TO_PACKED(double)
FULL_TO_PACKED(int)



/**
 * Copy the diagonal elements of the packed array x to dest
 *
 * @param dest vector of length ncol(x)
 * @param x pointer to an object representing a packed array
 *
 * @return dest
 */
double *packed_getDiag(double *dest, SEXP x)
{
    int j, n = *INTEGER(GET_SLOT(x, Matrix_DimSym)), pos;
    double *xx = REAL(GET_SLOT(x, Matrix_xSym));

    if (*uplo_P(x) == 'U') {
    for (pos = 0, j = 0; j < n; pos += ++j) dest[j] = xx[pos];
    } else {
    for (pos = 0, j = 0; j < n; pos += (n - j), j++) dest[j] = xx[pos];
    }
    return dest;
}

SEXP Matrix_expand_pointers(SEXP pP)
{
    int n = length(pP) - 1;
    int *p = INTEGER(pP);
    SEXP ans = PROTECT(allocVector(INTSXP, p[n]));

    expand_cmprPt(n, p, INTEGER(ans));
    UNPROTECT(1);
    return ans;
}


/**
 * Return the element of a given name from a named list
 *
 * @param list
 * @param nm name of desired element
 *
 * @return element of list with name nm
 */
SEXP
Matrix_getElement(SEXP list, char *nm) {
    SEXP names = getAttrib(list, R_NamesSymbol);
    int i;

    for (i = 0; i < LENGTH(list); i++)
    if (!strcmp(CHAR(STRING_ELT(names, i)), nm))
        return(VECTOR_ELT(list, i));
    return R_NilValue;
}

/** 
 * Allocate a real classed matrix
 * 
 * @param class character string of the type of Matrix to allocate
 * @param nrow number of rows
 * @param ncol number of columns
 * 
 * @return pointer to a classed real matrix
 */
SEXP alloc_real_classed_matrix(char *class, int nrow, int ncol)
{
    SEXP val = NEW_OBJECT(MAKE_CLASS(class));
    int *dims = INTEGER(ALLOC_SLOT(val, Matrix_DimSym, INTSXP, 2));
    
    dims[0] = nrow; dims[1] = ncol;
    ALLOC_SLOT(val, Matrix_xSym, REALSXP, nrow * ncol);
    return val;
}