rndLCi ============================================== Purpose ---------------- Returns a matrix of random integers, :math:`0 ≤ y < 232`, and the state of the random number generator. .. NOTE:: This function is deprecated but remains for backward compatibility. Format ---------------- .. function:: { y, newstate } = rndLCi(r, c, state) :param r: row dimension. :type r: scalar :param c: column dimension. :type c: scalar :param state: **scalar case** *state* = starting seed value only. System default values are used for the additive and multiplicative constants. The defaults are 1013904223, and 1664525, respectively. These may be changed with `rndcon` and `rndmult`. If *state* = -1, GAUSS computes the starting seed based on the system clock. **3x1 vector case** .. csv-table:: :widths: auto "[1]", "the starting seed, uses the system clock if -1" "[2]", "the multiplicative constant" "[3]", "the additive constant" **4x1 vector case** *state* = the state vector returned from a previous call to one of the ``rndLC`` random number generators. :type state: scalar or vector :return y: of random integers between 0 and 232 - 1, inclusive. :rtype y: r x c matrix :return newstate: .. csv-table:: :widths: auto "[1]", "the updated seed" "[2]", "the multiplicative constant" "[3]", "the additive constant" "[4]", "the original initialization seed" :rtype newstate: 4x1 vector Examples ---------------- :: state = 13; n = 2000000000; k = 1000000; c = 0; min = 2^32+1; max = -1; do while c < n; { y, state } = rndLCi(k, 1, state); min = minc(min | minc(y)); max = maxc(max | maxc(y)); c = c + k; endo; print "min " min; print "max " max; Remarks ------- *r* and *c* will be truncated to integers if necessary. Each seed is generated from the preceding seed, using the formula .. math:: new\_seed = (((a * seed) \% 2^{32})+ c) \% 2^{32} where ``%`` is the mod operator and where *a* is the multiplicative constant and *c* is the additive constant. The new seeds are the values returned. .. seealso:: Functions :func:`rndLCn`, :func:`rndLCu`, :func:`rndcon`, :func:`rndmult`