A linear_congruential_engine random number engine produces unsigned integer random numbers. The state xi of a linear_congruential_engine object x is of size 1 and consists of a single integer. The transition algorithm is a modular linear function of the form TA(xi)=(a⋅xi+c)modm; the generation algorithm is GA(xi)=xi+1.
template<class UIntType, UIntType a, UIntType c, UIntType m>
class linear_congruential_engine {
public:
using result_type = UIntType;
static constexpr result_type multiplier = a;
static constexpr result_type increment = c;
static constexpr result_type modulus = m;
static constexpr result_type min() { return c == 0u ? 1u: 0u; }
static constexpr result_type max() { return m - 1u; }
static constexpr result_type default_seed = 1u;
explicit linear_congruential_engine(result_type s = default_seed);
template<class Sseq> explicit linear_congruential_engine(Sseq& q);
void seed(result_type s = default_seed);
template<class Sseq> void seed(Sseq& q);
result_type operator()();
void discard(unsigned long long z);
};
If the template parameter m is 0, the modulus m used throughout this section [rand.eng.lcong] is numeric_limits<result_type>::max() plus 1. [ Note: m need not be representable as a value of type result_type. — end note ]
If the template parameter m is not 0, the following relations shall hold: a < m and c < m.
The textual representation consists of the value of xi.
explicit linear_congruential_engine(result_type s = default_seed);
Effects: Constructs a linear_congruential_engine object. If cmodm is 0 and smodm is 0, sets the engine's state to 1, otherwise sets the engine's state to smodm.
template<class Sseq> explicit linear_congruential_engine(Sseq& q);
Effects: Constructs a linear_congruential_engine object. With k=⌈log2m32⌉ and a an array (or equivalent) of length k+3, invokes q.generate(a+0, a+k+3) and then computes S=(∑k−1j=0aj+3⋅232j)modm. If cmodm is 0 and S is 0, sets the engine's state to 1, else sets the engine's state to S.
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