Permissible Argument Ranges lists the permissible argument ranges for each of the specified mathematical functions. The word All signifies that all single-precision numbers—or double-precision numbers if the function is double-precision—are permitted. All is often modified in some obvious manner. If a function has more than one argument, the requirements for each are listed separated by commas (,). The notation (0,0) means that both the first and second arguments are 0 (zero).
Table 69. Permissible Argument Ranges
| 
                               Function Name  | 
                           
                               Permissible Argument Range  | 
                        
|---|---|
|                 
                               ARCCOS  | 
                                           
                               All >= -1 and <= 1  | 
                        
|                 
                               ARCSIN  | 
                                           
                               All >= -1 and <= 1  | 
                        
|                 
                               ARCTAN  | 
                                           
                               All  | 
                        
|                 
                               ARCTAN2  | 
                                           
                               All except (0,0)  | 
                        
|                 
                               COS  | 
                                           
                               ABS < 10**24  | 
                        
|                 
                               COSH  | 
                                           
                               All  | 
                        
|                 
                               COTAN  | 
                                           
                               All  | 
                        
|                 
                               ERF  | 
                                           
                               All  | 
                        
|                 
                               EXP  | 
                                           
                               All  | 
                        
|                 
                               EXPONENT(RTOR)  | 
                                           
                               All for exponent; all for base except negative numbers to nonintegral exponent  | 
                        
|                 
                               GAMMA  | 
                                           
                               All except negative integers and 0  | 
                        
|                 
                               LN  | 
                                           
                               All positive  | 
                        
|                 
                               LNGAMMA  | 
                                           
                               All positive  | 
                        
|                 
                               LOG  | 
                                           
                               All positive  | 
                        
|                 
                               RANDOM  | 
                                           
                               ABS < 2**39  | 
                        
|                 
                               SIN  | 
                                           
                               ABS < 10**24  | 
                        
|                 
                               SINH  | 
                                           
                               All  | 
                        
|                 
                               SQRT  | 
                                           
                               All nonnegative  | 
                        
|                 
                               TAN  | 
                                           
                               ABS < 10**22  | 
                        
|                 
                               TANH  | 
                                           
                               All  | 
                        
|                 
                               DARCTAN  | 
                                           
                               All  | 
                        
|                 
                               DARCTAN2  | 
                                           
                               All except (0,0)  | 
                        
|                 
                               DCOS  | 
                                           
                               ABS < 10**24  | 
                        
|                 
                               DEXP  | 
                                           
                               All  | 
                        
|                 
                               DLN  | 
                                           
                               All positive  | 
                        
|                 
                               DLOG  | 
                                           
                               All positive  | 
                        
|                 
                               DSIN  | 
                                           
                               ABS < 10**24  | 
                        
|                 
                               DSQRT  | 
                                           
                               All nonnegative  | 
                        
|                 
                               EXPONENT  | 
                                           
                               For both RTOD and DTOD:  | 
                        
|                 
                               (RTOD)  | 
                                           
                               All for exponent  | 
                        
|                 
                               (DTOD)  | 
                                           
                               All nonnegative for base  | 
                        
|                 
                               CABS  | 
                                           
                               All  | 
                        
|                 
                               CCOS  | 
                                           
                               All  | 
                        
|                 
                               CEXP  | 
                                           
                               All  | 
                        
|                 
                               CLN  | 
                                           
                               All  | 
                        
|                 
                               CSIN  | 
                                           
                               All, -107< y <159  | 
                        
|                 
                               CSQRT  | 
                                           
                               All  | 
                        
|                 
                               EXPONENT  | 
                                           
                               For both CTOR and CTOD:  | 
                        
|                 
                               (CTOR)  | 
                                           
                               All for base;  | 
                        
| 
                               (CTOD)  | 
                           
                               All real or double-precision for exponent  | 
                        
Function Names lists the function names in various languages. The names used in this section are the ALGOL names.
Table 70. Function Names
| 
                               ALGOL  | 
                           
                               FORTRAN77  | 
                           
                               COBOL 74 and COBOL 85  | 
                           
                               PASCAL  | 
                        
|---|---|---|---|
|                 
                               ARCCOS  | 
                                           
                               ACOS  | 
                                           
                               ARCCOS  | 
                        |
|                 
                               ARCSIN  | 
                                           
                               ASIN  | 
                                           
                               ARCSIN  | 
                        |
|                 
                               ARCTAN  | 
                                           
                               ATAN  | 
                                           
                               ARCTAN  | 
                                           
                               ARCTAN  | 
                        
|                 
                               ARCTAN2  | 
                                           
                               ATAN2  | 
                                           
                               
  | 
                        |
|                 
                               CABS  | 
                                           
                               CABS  | 
                                           
                               
  | 
                        |
|                 
                               CCOS  | 
                                           
                               CCOS  | 
                                           
                               
  | 
                        |
|                 
                               CEXP  | 
                                           
                               CEXP  | 
                                           
                               
  | 
                        |
|                 
                               CLN  | 
                                           
                               CLOG  | 
                                           
                               
  | 
                        |
|                 
                               COS  | 
                                           
                               COS  | 
                                           
                               COS  | 
                                           
                               COS  | 
                        
|                 
                               COSH  | 
                                           
                               COSH  | 
                                           
                               COSH  | 
                        |
|                 
                               COTAN  | 
                                           
                               
  | 
                                           
                               COTAN  | 
                        |
|                 
                               CSIN  | 
                                           
                               CSIN  | 
                                           
                               
  | 
                        |
|                 
                               CSQRT  | 
                                           
                               CSORT  | 
                                           
                               
  | 
                        |
|                 
                               DARCCOS  | 
                                           
                               DACOS  | 
                                           
                               
  | 
                        |
|                 
                               DARCSIN  | 
                                           
                               DASIN  | 
                                           
                               
  | 
                        |
|                 
                               DARCTAN  | 
                                           
                               DATAN  | 
                                           
                               
  | 
                        |
|                 
                               DARCTAN2  | 
                                           
                               DATAN2  | 
                                           
                               
  | 
                        |
|                 
                               DCOS  | 
                                           
                               DCOS  | 
                                           
                               
  | 
                        |
|                 
                               DCOSH  | 
                                           
                               DCOSH  | 
                                           
                               
  | 
                        |
|                 
                               DERF  | 
                                           
                               
  | 
                                           
                               
  | 
                        |
|                 
                               DERFC  | 
                                           
                               
  | 
                                           
                               
  | 
                        |
|                 
                               DEXP  | 
                                           
                               DEXP  | 
                                           
                               
  | 
                        |
|                 
                               DGAMMA  | 
                                           
                               
  | 
                                           
                               
  | 
                        |
|                 
                               DLGAMMA  | 
                                           
                               
  | 
                                           
                               
  | 
                        |
|                 
                               DLN  | 
                                           
                               DLOG  | 
                                           
                               
  | 
                        |
|                 
                               DLOG  | 
                                           
                               DLOG10  | 
                                           
                               
  | 
                        |
|                 
                               DSIN  | 
                                           
                               DSIN  | 
                                           
                               
  | 
                        |
|                 
                               DSINH  | 
                                           
                               DSINH  | 
                                           
                               
  | 
                        |
|                 
                               DSQRT  | 
                                           
                               DSORT  | 
                                           
                               
  | 
                        |
|                 
                               DTAN  | 
                                           
                               DTAN  | 
                                           
                               
  | 
                        |
|                 
                               DTANH  | 
                                           
                               DTANH  | 
                                           
                               
  | 
                        |
|                 
                               ERF  | 
                                           
                               
  | 
                                           
                               ERF  | 
                        |
|                 
                               ERFC  | 
                                           
                               
  | 
                                           
                               
  | 
                        |
|                 
                               EXP  | 
                                           
                               EXP  | 
                                           
                               EXP  | 
                                           
                               EXP  | 
                        
|                 
                               GAMMA  | 
                                           
                               
  | 
                                           
                               GAMMA  | 
                        |
|                 
                               LN  | 
                                           
                               ALOG  | 
                                           
                               LN  | 
                        |
|                 
                               LNGAMMA  | 
                                           
                               
  | 
                                           
                               LNGAMMA  | 
                        |
|                 
                               LOG  | 
                                           
                               ALOG10  | 
                                           
                               LOG  | 
                        |
|                 
                               RANDOM  | 
                                           
                               RANDOM  | 
                                           
                               RANDOM  | 
                        |
|                 
                               SIN  | 
                                           
                               SIN  | 
                                           
                               SIN  | 
                                           
                               SIN  | 
                        
|                 
                               SINH  | 
                                           
                               SINH  | 
                                           
                               SINH  | 
                        |
|                 
                               SQRT  | 
                                           
                               SQRT  | 
                                           
                               SQR  | 
                                           
                               SQRT  | 
                        
|                 
                               TAN  | 
                                           
                               TAN  | 
                                           
                               TAN  | 
                                           
                               TAN  | 
                        
|                 
                               TANH  | 
                                           
                               TANH  | 
                                           
                               TANH  | 
                        

