h.ifunc

强大的数学工具包

                                * * * * * * *
                                *   ifunc   *
                                * * * * * * *

        The following functions are available for integers:

        +        ==        aval         ispprime  min          putb
        -        !=        binom        isprime   mod          putbits 
        *        <         ceil         isqrt     mval         puthex 
        :        <=        chinrem      jacsym    ord          puto
        ^        >         classnum     lcm       pconstr      putoct
        /        >=        egcd         ln        pfact        root
        !        &&        exp          log2      pgen         sfp
        [ ]      ||        fact         log10     phi          sgn 
                           floor        max       ppconstr     sqrt
                           fltoi        mex       proot        tofl
                           gcd
    
                            
        '+'             means   addition;

        '-'                     subtraction;

        '*'                     multiplication;

        ':'                     (integer part of) quotient;

        '^'                     exponentiation;

        '/'                     division;

        '!'                     factorial;

        '[ ]'                   absolute value;

        '=='                    equal;

        '!='                    not equal;

        '<'                     less;

        '<='                    less or equal;

        '>'                     greater;

        '>='                    greater or equal;

        '&&'                    and;

        '||'                    or;

        'aval'                  additive m-adic value;

        'binom'                 binomial coefficient;

        'ceil'                  smallest integer greater or equal;

        'chinrem'               chinese remainder algorithm;

        'classnum'              class number;

        'egcd'                  extended greatest common divisor;

        'exp'                   exponential function;

        'fact'                  factorization;

        'floor'                 greatest integer less or equal;

        'fltoi'                 floating points to integers;

        'gcd'                   greatest common divisor;
 
        'ispprime'              is pseudoprime ? ;
 
        'isprime'               is prime ? ;
 
        'isqrt'                 integral part of square root;

        'jacsym'                Jacobi symbol;

        'lcm'                   least common multiple;

        'ln'                    natural logarithm;

        'log2'                  integer part of the logarithm, base 2;

        'log10'                 1 + integer part of the logarithm,
                                base 10;

        'max'                   maximum;

        'mex'                   exponentiation in Z/mZ;

        'min'                   minimum;

        'mod'                   module homomorphism;

        'mval'                  multiplicative m-adic value;

        'ord'                   order;

        'pconstr'               prime construction;

        'pfact'                 factorization modulo prime;

        'pgen'                  prime generator;

        'phi'                   Eulerian phi-function;

        'ppconstr'              pseudo prime construction;

        'proot'                 primitive root;

        'putb'                  put bit representation;

        'putbits'               display bit representation;
        
        'puthex'                put hexadecimal representation;

        'puto'                  display internal representation;

        'putoct'                put octal representation;

        'root'                  root;

        'sfp'                   squarefree part;

        'sgn'                   sign;

        'sqrt'                  square root;

        'tofl'                  to floating points.