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udf_confidence_higher.cc
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udf_confidence_higher.cc
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/*
returns the upper bound of the confidence interval for a given
standard deviation, sample size, mean and confidence probability
input parameters:
confidence probability (int or real)
sample size (int)
arithmetic mean (int or real)
standard deviation (int or real)
number of decimals in result (int, optional)
output:
upper bound of the confidence interval (real)
registering the function:
CREATE FUNCTION confidence_upper RETURNS REAL SONAME 'udf_confidence_upper.so';
getting rid of the function:
DROP FUNCTION confidence_upper;
*/
#ifdef STANDARD
#include <stdio.h>
#include <string.h>
#ifdef __WIN__
typedef unsigned __int64 ulonglong;
typedef __int64 longlong;
#else
typedef unsigned long long ulonglong;
typedef long long longlong;
#endif /*__WIN__*/
#else
#include <my_global.h>
#include <my_sys.h>
#endif
#include <mysql.h>
#include <m_ctype.h>
#include <m_string.h>
#ifdef HAVE_DLOPEN
extern "C"
{
my_bool confidence_higher_init(UDF_INIT *, UDF_ARGS *args, char *message);
double confidence_higher(UDF_INIT *initid, UDF_ARGS *args, char *is_null,char *error);
}
my_bool confidence_higher_init(UDF_INIT *initid, UDF_ARGS *args, char *message)
{
if (args->arg_count != 4 && args->arg_count != 5)
{
strcpy(message,"confidence_higher() must have four or five arguments");
return 1;
}
if (args->arg_type[0] != INT_RESULT && args->arg_type[0]!=REAL_RESULT)
{
strcpy(message,"confidence_higher() must have an integer or a real as parameter 1");
return 1;
}
if (args->arg_type[1] != INT_RESULT)
{
strcpy(message,"confidence_higher() must have an integer as parameter 1");
return 1;
}
if (*((ulong*)args->args[1])<1)
{
strcpy(message,"confidence_higher() must have a positive value as parameter 1");
return 1;
}
if (args->arg_type[2] != INT_RESULT && args->arg_type[2]!=REAL_RESULT)
{
strcpy(message,"confidence_higher() must have an integer or a real as parameter 3");
return 1;
}
if (args->arg_type[3] != INT_RESULT && args->arg_type[3]!=REAL_RESULT)
{
strcpy(message,"confidence_higher() must have an integer or a real as parameter 4");
return 1;
}
initid->decimals = 2;
if (args->arg_count==5 && args->arg_type[4]!=INT_RESULT)
{
strcpy(message,"confidence_higher() must have an integer as parameter 5");
return 1;
}
if (args->arg_count==5 && (*((ulong*)args->args[4])<=16))
{
initid->decimals=*((ulong*)args->args[4]);
}
initid->maybe_null = 0;
initid->max_length = 20;
return 0;
}
static double invnormalp(double p)
{
const double p0 = -0.322232431088;
const double p1 = -1.0;
const double p2 = -0.342242088547;
const double p3 = -0.0204231210245;
const double p4 = -0.453642210148E-4;
const double q0 = 0.0993484626060;
const double q1 = 0.588581570495;
const double q2 = 0.531103462366;
const double q3 = 0.103537752850;
const double q4 = 0.38560700634E-2;
double pp, y, xp;
if (p < 0.5)
{
pp = p;
} else
{
pp = 1 - p;
}
if (pp < 1E-12)
{
xp = 99;
} else
{
y = sqrt(log(1/(pp*pp)));
xp = y + ((((y * p4 + p3) * y + p2) * y + p1) * y + p0) /
((((y * q4 + q3) * y + q2) * y + q1) * y + q0);
}
if (p < 0.5)
{
return -xp;
} else
{
return xp;
}
}
double confidence_higher(UDF_INIT *initid, UDF_ARGS *args, char *is_null, char *error)
{
double pz;
double su;
double m;
double stddev;
double t;
if (args->arg_type[0]==INT_RESULT)
{
pz=(double) *((longlong*)args->args[0]);
} else if (args->arg_type[0]==REAL_RESULT)
{
pz=(double) *((double*) args->args[0]);
}
if (args->arg_type[1]==INT_RESULT)
{
su=(double) *((longlong*)args->args[1]);
} else if (args->arg_type[1]==REAL_RESULT)
{
su=(double) *((double*) args->args[1]);
}
if (args->arg_type[2]==INT_RESULT)
{
m=(double) *((longlong*)args->args[2]);
} else if (args->arg_type[2]==REAL_RESULT)
{
m=(double) *((double*) args->args[2]);
}
if (args->arg_type[3]==INT_RESULT)
{
stddev=(double) *((longlong*)args->args[3]);
} else if (args->arg_type[3]==REAL_RESULT)
{
stddev=(double) *((double*) args->args[3]);
}
t=invnormalp(pz*0.5+0.5);
if (t<0.0)
{
t=-t;
}
return 1.0*m+(stddev*t/sqrt(su));
}
#endif /* HAVE_DLOPEN */