emathfun.c

clips源代码

/**************************************/
/* CschFunction: H/L access routine   */
/*   for the csch function.           */
/**************************************/
globle double CschFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"csch",&num) == FALSE) return(0.0);
   if (num == 0.0)
     {
      SingularityErrorMessage(theEnv,"csch");
      return(0.0);
     }
   else if (TestProximity(num,1e-25) == TRUE)
     {
      ArgumentOverflowErrorMessage(theEnv,"csch");
      return(0.0);
     }
   return(1.0 / sinh(num));
  }

/**************************************/
/* CothFunction: H/L access routine   */
/*   for the coth function.           */
/**************************************/
globle double CothFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"coth",&num) == FALSE) return(0.0);
   if (num == 0.0)
     {
      SingularityErrorMessage(theEnv,"coth");
      return(0.0);
     }
   else if (TestProximity(num,1e-25) == TRUE)
     {
      ArgumentOverflowErrorMessage(theEnv,"coth");
      return(0.0);
     }
   return(1.0 / tanh(num));
  }

/***************************************/
/* AcoshFunction: H/L access routine   */
/*   for the acosh function.           */
/***************************************/
globle double AcoshFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"acosh",&num) == FALSE) return(0.0);
   if (num < 1.0)
     {
      DomainErrorMessage(theEnv,"acosh");
      return(0.0);
     }
   return(genacosh(num));
  }

/***************************************/
/* AsinhFunction: H/L access routine   */
/*   for the asinh function.           */
/***************************************/
globle double AsinhFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"asinh",&num) == FALSE) return(0.0);
   return(genasinh(num));
  }

/***************************************/
/* AtanhFunction: H/L access routine   */
/*   for the atanh function.           */
/***************************************/
globle double AtanhFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"atanh",&num) == FALSE) return(0.0);
   if ((num >= 1.0) || (num <= -1.0))
     {
      DomainErrorMessage(theEnv,"atanh");
      return(0.0);
     }
   return(genatanh(num));
  }

/***************************************/
/* AsechFunction: H/L access routine   */
/*   for the asech function.           */
/***************************************/
globle double AsechFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"asech",&num) == FALSE) return(0.0);
   if ((num > 1.0) || (num <= 0.0))
     {
      DomainErrorMessage(theEnv,"asech");
      return(0.0);
     }
   return(genasech(num));
  }

/***************************************/
/* AcschFunction: H/L access routine   */
/*   for the acsch function.           */
/***************************************/
globle double AcschFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"acsch",&num) == FALSE) return(0.0);
   if (num == 0.0)
     {
      DomainErrorMessage(theEnv,"acsch");
      return(0.0);
     }
   return(genacsch(num));
  }

/***************************************/
/* AcothFunction: H/L access routine   */
/*   for the acoth function.           */
/***************************************/
globle double AcothFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"acoth",&num) == FALSE) return(0.0);
   if ((num <= 1.0) && (num >= -1.0))
     {
      DomainErrorMessage(theEnv,"acoth");
      return(0.0);
     }
   return(genacoth(num));
  }

/*************************************/
/* ExpFunction: H/L access routine   */
/*   for the exp function.           */
/*************************************/
globle double ExpFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"exp",&num) == FALSE) return(0.0);
   return(exp(num));
  }

/*************************************/
/* LogFunction: H/L access routine   */
/*   for the log function.           */
/*************************************/
globle double LogFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"log",&num) == FALSE) return(0.0);
   if (num < 0.0)
     {
      DomainErrorMessage(theEnv,"log");
      return(0.0);
     }
   else if (num == 0.0)
     {
      ArgumentOverflowErrorMessage(theEnv,"log");
      return(0.0);
     }

   return(log(num));
  }

/***************************************/
/* Log10Function: H/L access routine   */
/*   for the log10 function.           */
/***************************************/
globle double Log10Function(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"log10",&num) == FALSE) return(0.0);
   if (num < 0.0)
     {
      DomainErrorMessage(theEnv,"log10");
      return(0.0);
     }
   else if (num == 0.0)
     {
      ArgumentOverflowErrorMessage(theEnv,"log10");
      return(0.0);
     }

    return(log10(num));
   }

/**************************************/
/* SqrtFunction: H/L access routine   */
/*   for the sqrt function.           */
/**************************************/
globle double SqrtFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"sqrt",&num) == FALSE) return(0.0);
   if (num < 0.00000)
     {
      DomainErrorMessage(theEnv,"sqrt");
      return(0.0);
     }
   return(sqrt(num));
  }

/*************************************/
/* PowFunction: H/L access routine   */
/*   for the pow function.           */
/*************************************/
globle double PowFunction(
  void *theEnv)
  {
   DATA_OBJECT value1, value2;

   if (EnvArgCountCheck(theEnv,"**",EXACTLY,2) == -1) return(0.0);

   if (EnvArgTypeCheck(theEnv,"**",1,FLOAT,&value1) == FALSE) return(0.0);
   if (EnvArgTypeCheck(theEnv,"**",2,FLOAT,&value2) == FALSE) return(0.0);

    if (((DOToDouble(value1) == 0.0) &&
        (DOToDouble(value2) <= 0.0)) ||
       ((DOToDouble(value1) < 0.0) &&
        (dtrunc((double) DOToDouble(value2)) != DOToDouble(value2))))
     {
      DomainErrorMessage(theEnv,"**");
      SetHaltExecution(theEnv,TRUE);
      SetEvaluationError(theEnv,TRUE);
      return(0.0);
     }

   return (pow(DOToDouble(value1),DOToDouble(value2)));
  }

/*************************************/
/* ModFunction: H/L access routine   */
/*   for the mod function.           */
/*************************************/
globle void ModFunction(
  void *theEnv,
  DATA_OBJECT_PTR result)
  {
   DATA_OBJECT item1, item2;
   double fnum1, fnum2;
   long long lnum1, lnum2;

   if (EnvArgCountCheck(theEnv,"mod",EXACTLY,2) == -1)
     {
      result->type = INTEGER;
      result->value = (void *) EnvAddLong(theEnv,0L);
      return;
     }

   if (EnvArgTypeCheck(theEnv,"mod",1,INTEGER_OR_FLOAT,&item1) == FALSE)
     {
      result->type = INTEGER;
      result->value = (void *) EnvAddLong(theEnv,0L);
      return;
     }

   if (EnvArgTypeCheck(theEnv,"mod",2,INTEGER_OR_FLOAT,&item2) == FALSE)
     {
      result->type = INTEGER;
      result->value = (void *) EnvAddLong(theEnv,0L);
      return;
     }

   if (((item2.type == INTEGER) ? (ValueToLong(item2.value) == 0L) : FALSE) ||
       ((item2.type == FLOAT) ? ValueToDouble(item2.value) == 0.0 : FALSE))
     {
      DivideByZeroErrorMessage(theEnv,"mod");
      SetEvaluationError(theEnv,TRUE);
      result->type = INTEGER;
      result->value = (void *) EnvAddLong(theEnv,0L);
      return;
     }

   if ((item1.type == FLOAT) || (item2.type == FLOAT))
     {
      fnum1 = CoerceToDouble(item1.type,item1.value);
      fnum2 = CoerceToDouble(item2.type,item2.value);
      result->type = FLOAT;
      result->value = (void *) EnvAddDouble(theEnv,fnum1 - (dtrunc(fnum1 / fnum2) * fnum2));
     }
   else
     {
      lnum1 = DOToLong(item1);
      lnum2 = DOToLong(item2);
      result->type = INTEGER;
      result->value = (void *) EnvAddLong(theEnv,lnum1 - (lnum1 / lnum2) * lnum2);
     }
  }

/************************************/
/* PiFunction: H/L access routine   */
/*   for the pi function.           */
/************************************/
globle double PiFunction(
  void *theEnv)
  {

   if (EnvArgCountCheck(theEnv,"pi",EXACTLY,0) == -1) return(acos(-1.0));
   return(acos(-1.0));
  }

/****************************************/
/* DegRadFunction: H/L access routine   */
/*   for the deg-rad function.          */
/****************************************/
globle double DegRadFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"deg-rad",&num) == FALSE) return(0.0);
   return(num * PI / 180.0);
  }

/****************************************/
/* RadDegFunction: H/L access routine   */
/*   for the rad-deg function.          */
/****************************************/
globle double RadDegFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"rad-deg",&num) == FALSE) return(0.0);
   return(num * 180.0 / PI);
  }

/*****************************************/
/* DegGradFunction: H/L access routine   */
/*   for the deg-grad function.          */
/*****************************************/
globle double DegGradFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"deg-grad",&num) == FALSE) return(0.0);
   return(num / 0.9);
  }

/*****************************************/
/* GradDegFunction: H/L access routine   */
/*   for the grad-deg function.          */
/*****************************************/
globle double GradDegFunction(
  void *theEnv)
  {
   double num;

   if (SingleNumberCheck(theEnv,"grad-deg",&num) == FALSE) return(0.0);
   return(num * 0.9);
  }

/***************************************/
/* RoundFunction: H/L access routine   */
/*   for the round function.           */
/***************************************/
globle long long RoundFunction(
  void *theEnv)
  {
   DATA_OBJECT result;

   if (EnvArgCountCheck(theEnv,"round",EXACTLY,1) == -1)
     { return(0LL); }

   if (EnvArgTypeCheck(theEnv,"round",1,INTEGER_OR_FLOAT,&result) == FALSE)
     { return(0LL); }

   if (result.type == INTEGER)
     { return(ValueToLong(result.value)); }
   else
     { return((long long) ceil(ValueToDouble(result.value) - 0.5)); }
  }

/*******************************************/
/* genacosh: Generic routine for computing */
/*   the hyperbolic arccosine.             */
/*******************************************/
static double genacosh(
  double num)
  {
   return(log(num + sqrt(num * num - 1.0)));
  }

/*******************************************/
/* genasinh: Generic routine for computing */
/*   the hyperbolic arcsine.               */
/*******************************************/
static double genasinh(
  double num)
  {
   return(log(num + sqrt(num * num + 1.0)));
  }

/*******************************************/
/* genatanh: Generic routine for computing */
/*   the hyperbolic arctangent.            */
/*******************************************/
static double genatanh(
  double num)
  {
   return((0.5) * log((1.0 + num) / (1.0 - num)));
  }

/*******************************************/
/* genasech: Generic routine for computing */
/*   the hyperbolic arcsecant.             */
/*******************************************/
static double genasech(
  double num)
  {
   return(log(1.0 / num + sqrt(1.0 / (num * num) - 1.0)));
  }

/*******************************************/
/* genacsch: Generic routine for computing */
/*   the hyperbolic arccosecant.           */
/*******************************************/
static double genacsch(
  double num)
  {
   return(log(1.0 / num + sqrt(1.0 / (num * num) + 1.0)));
  }

/*******************************************/
/* genacoth: Generic routine for computing */
/*   the hyperbolic arccotangent.          */
/*******************************************/
static double genacoth(
  double num)
  {
   return((0.5) * log((num + 1.0) / (num - 1.0)));
  }

#endif