double *bpath ( int &seed, int n );
void bpath_gnuplot ( int n, double w[] );
void bpath_average ( int &seed, int m, int n, double u[], double umean[], 
  double &error );
void bpath_average_gnuplot ( int m, int n, double u[], double umean[] );
void chain ( int &seed, int n, double xem[], double vem[], double &diff );
void chain_gnuplot ( int n, double x[], double v[] );
void em ( int &seed, int n, double t[], double xtrue[], double t2[], 
  double xem[], double &error );
void em_gnuplot ( int n, double t[], double xtrue[], double t2[], double xem[] );
void emstrong ( int &seed, int m, int n, int p_max, double dtvals[], 
  double xerr[] );
void emstrong_gnuplot ( int p_max, double dtvals[], double xerr[] );
void emweak ( int &seed, int method, int m, int p_max, double dtvals[], 
  double xerr[] );
void emweak_gnuplot ( int p_max, double dtvals[], double xerr[], int method );
void filename_inc ( string *filename );
int i4_power ( int i, int j );
void milstrong ( int &seed, int p_max, double dtvals[], double xerr[] );
void milstrong_gnuplot ( int p_max, double dtvals[], double xerr[] );
double r8_max ( double x, double y );
double r8_normal_01 ( int &seed );
double r8_sign ( double x );
double r8_uniform_01 ( int &seed );
double *r8mat_normal_01_new ( int m, int n, int &seed );
double r8vec_dot_product ( int n, double a1[], double a2[] );
double r8vec_mean ( int n, double x[] );
void r8vec_normal_01 ( int n, int &seed, double x[] );
double *r8vec_normal_01_new ( int n, int &seed );
void r8vec_uniform_01 ( int n, int &seed, double r[] );
double *r8vec_uniform_01_new ( int n, int &seed );
int s_len_trim ( string s );
void stab_asymptotic ( int &seed, int n, int p_max );
void stab_meansquare ( int &seed );
void stochastic_integral_ito ( int n, int &seed, double &estimate, 
  double &exact, double &error );
void stochastic_integral_strat ( int n, int &seed, double &estimate, 
  double &exact, double &error );
void timestamp ( void );