Tree Data Interface KIND:LT
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KIND (A)

      MDS/VMS Inquiry. 
      
      Data type of data storage descriptor. 
 
      Argument. A may be any descriptor. 
 
      Result..  Byte unsigned of the descriptor data type. 
                Descriptor data types (DSC$K_DTYPE_DSC) are removed. 
                Use KIND for data type without NID, PATH, or variable. 
                Use KIND_OF for data type including them. 
 
      Examples. KIND(3) is 8 (DSC$K_DTYPE_L) on the VAX. 
                KIND(1.2) is 10 (DSC$K_DTYPE_F) on the VAX. 
                KIND(_X) is the kind of the value in variable _X. 
 
KIND_OF (A)

      MDS/VMS Inquiry. 
      
      Data type of data storage descriptor. 
 
      Argument. A may be any descriptor. 
 
      Result..  Byte unsigned of the descriptor data type. 
                Descriptor data types (DSC$K_DTYPE_DSC) are removed. 
                Use KIND for data type without NID, PATH, or variable. 
                Use KIND_OF for data type including them. 
 
      Examples. KIND_OF(3) is 8 (DSC$K_DTYPE_L) on the VAX. 
                KIND_OF(1.2) is 10 (DSC$K_DTYPE_F) on the VAX. 
                KIND_OF(_X) is 191 (DSC$K_DTYPE_IDENT) on the VAX. 
 
LABEL (NAME,STMT,...)

      Modified CC Statement. 
      
      Label holder for statements. 
      
      Required Usual Form. LABEL NAME : STMT. 
      Functiom Form     LABEL(NAME,STMT,...). May be syntatically invalid. 
 
      Arguments 
        NAME    character scalar. Should begin with underscore (_). 
        STMT    statement, simple or compound (like {S1 S2} or 
                multiple (like S1 S2). 
 
      Result..  STMT ignored except in a GOTO that does not match 
                the LABEL. 
      Example.  IF (_A > 0) GOTO _XX 
                ... 
                LABEL _XX : ... 
 
LANGUAGE_OF (A)

      MDS Operation. 
      
      Get the language field. 
 
      Argument. Descriptor as below. 
 
      Result..  A is searched for this: 
                DSC$K_DTYPE_PROCEDURE, the language field. 
                Otherwise, an error. 
 
LASTLOC (MASK,[DIM])

      Transformation. 
      
      Locate the trailing edges of a set of 
                true elements of a logical mask. 
 
      Arguments Optional: DIM. 
        MASK    logical array. 
        DIM     integer scalar from 0 to n-1, where n is rank of MASK. 
 
      Signals.  Same as MASK. 
      Units...  None. 
      Form....  Logical of same shape. 
 
      Result. 
        (i)     LASTLOC(MASK) has at most one true element. If there is 
                a true value, it is the first in array element order. 
        (ii)    LASLOC(MASK,DIM) is found by applying LASTLOC to each of 
                the one-dimensional array sections of MASK that lie 
                parallel to dimension DIM. 
 
      Examples. 
        (i)     The last array-ordered element 
                LASTLOC(_M=[0 0 1 0]) is [0 0 0 0]. 
                           [0 1 1 0]     [0 0 0 0] 
                           [0 1 0 1]     [0 0 0 1] 
                           [0 0 0 0]     [0 0 0 0] 
        (ii)    The right edge 
                LASTLOC(_M,1) is [0 0 1 0]. 
                                 [0 0 1 0] 
                                 [0 0 0 1] 
                                 [0 0 0 0] 
 
LBOUND (ARRAY,[DIM])

      F90 Inquiry. 
      
      All the declared lower bounds of an array or a specified 
                lower bound. 
 
      Arguments Optional: DIM. 
        ARRAY   any type array. 
        DIM     integer scalar from 0 to n-1, where n is rank of ARRAY. 
 
      Signals.  None. 
      Units...  None. 
      Form....  Integer scalar if DIM is present, otherwise, a vector of 
                size n. 
 
      Result. 
        (i)     LBOUND(ARRAY,DIM) is equal to the lower bound 
                for subscript DIM of ARRAY. If no bounds is declared, 
                the result is 0. 
        (ii)    LBOUND(ARRAY) has the j-th component equal to 
                LBOUND(ARRAY,j) for each j, 0 to n-1. 
 
      Examples. LBOUND(_A=SET_RANGE(2:3,7:10,0)) is [2,7] and 
                LBOUND(_A,1) is 7. 
 
      See also  UBOUND for upper bound, SHAPE for number of elements, 
                SIZE for total elements, and E... for signals. 
 
LE (X,Y)

      Logical Elemental. 
      
      Tests for first less than or equal to second. 
      
      Usual Forms       X <= Y, X LE Y. 
      Function Form     LE(X,Y). 
 
      Arguments X and Y must both be numeric or character. 
                Complex numbers are an error. 
 
      Signals.  Single signal or smaller data. 
      Units...  None unless both have units and they don't match. 
      Form....  Logical of compatible shape. 
 
      Result..  True if X is less than or equal to Y; otherwise, false. 
                A reserved operand is always false. Character are 
                compared in the processor collating sequence. 
      >>>>>>>>>WARNING, floating point operations may not match an exact 
                calculation for nonterminating binary fractions. You 
                cannot predict that .1+.1<=.2 is true. Integer values 
                may be truncated when matched to floating numbers. 
 
      Example.  2<=2.0 is $TRUE. 
 
LEN (STRING)

      F90 Inquiry. 
      
      The length of a character entity or the number of bytes in 
                numeric data (extension). 
 
      Argument. STRING is any type, scalar or array. 
 
      Signals.  None. 
      Units...  None. 
      Form....  Integer scalar. 
 
      Result..  The number of characters in STRING if it is scalar or in 
                an element of STRING if it is an array. 
 
      Example.  LEN('abcdefghijk') is 11. 
 
LEN_TRIM (STRING)

      F90 Character Elemental. 
      
      Length of the character argument without 
                trailing blank or tab characters. 
 
      Argument. STRING must be character. 
 
      Signals.  Same as STRING. 
      Units...  None. 
      Form....  Integer of same shape. 
 
      Result..  The number of characters after any trailing blanks or 
                tabs are removed. If STRING has no nonblanks other than 
                tabs the result is 0. 
 
      Examples. LEN_TRIM(' A B  ') is 4 and LEN_TRIM('   ') is 0. 
 
LGE (STRING_A,STRING_B)

      F90 Character Elemental. 
      
      Test whether a string is lexically greater 
                than or equal to another string based on the ASCII 
                collating sequence. 
 
      Arguments STRING_A and STRING_B must be character. 
 
      Signals.  Single signal or smaller data. 
      Units...  None, bad if different. 
      Form....  Logical of compatible shape. 
 
      Result..  If the strings are of unequal length, the comparison is 
                made as if the shorter string were extended on the right 
                with blanks to the length of the longer string. If 
                either string has a character not in the ASCII character 
                set, the result is processor dependent. The result is 
                true if the strings are equal or if STRING_A follows 
                STRING_B in the collating sequence; otherwise, false. 
 
      Example.  LGE('ONE','TWO') is $FALSE. 
 
LGT (STRING_A,STRING_B)

      F90 Character Elemental. 
      
      Test whether a string is lexically greater than 
                another string based on the ASCII collating sequence. 
 
      Arguments STRING_A and STRING_B must be character. 
 
      Signals.  Single signal or smaller data. 
      Units...  None, bad if different. 
      Form....  Logical of compatible shape. 
 
      Result..  If the strings are of unequal length, the comparison is 
                made as if the shorter string were extended on the right 
                with blanks to the length of the longer string. If 
                either string has a character not in the ASCII character 
                set, the result is processor dependent. The result is 
                true if STRING_A follows STRING_B in the collating 
                sequence; otherwise, false. 
 
      Example.  LGT('ONE','TWO') is $FALSE. 
 
LLE (STRING_A,STRING_B)

      F90 Character Elemental. 
      
      Test whether a string is lexically less 
                than or equal to another string based on the ASCII 
                collating sequence. 
 
      Arguments STRING_A and STRING_B must be character. 
 
      Signals.  Single signal or smaller data. 
      Units...  None, bad if different. 
      Form....  Logical of compatible shape. 
 
      Result..  If the strings are of unequal length, the comparison is 
                made as if the shorter string were extended on the right 
                with blanks to the length of the longer string. If 
                either string has a character not in the ASCII character 
                set, the result is processor dependent. The result is 
                true if the strings are equal or if STRING_A follows 
                STRING_B in the collating sequence; otherwise, false. 
 
      Example.  LLE('ONE','TWO') is $TRUE. 
 
LLT (STRING_A,STRING_B)

      F90x Character Elemental. 
      
      Test whether a string is lexically less 
      	than another string based on the ASCII collating sequence. 
 
      Arguments STRING_A and STRING_B must be character. 
 
      Signals.  Single signal or smaller data. 
      Units...  None, bad if different. 
      Form....  Logical of compatible shape. 
 
      Result..  If the strings are of unequal length, the comparison is 
                made as if the shorter string were extended on the right 
                with blanks to the length of the longer string. If 
                either string has a character not in the ASCII character 
                set, the result is processor dependent. The result is 
                true if STRING_A follows STRING_B in the collating 
                sequence; otherwise, false. 
 
      Example.  LLT('ONE','TWO') is $TRUE. 
 
LOG (X)

      F90 Mathematical Elemental. 
      
      Natural logarithm. 
 
      Argument. X must be real or complex, HC is converted to GC. 
 
      Signals.  Same as X. 
      Units...  None, bad if X has units. 
      Form....  Same as X. 
 
      Result..  Processor approximation to log X (base e). A complex 
                result is the principal value with imaginary part in the 
                range -pi to pi. The imaginary part of the result is pi 
                only when the real part of X is less than zero and the 
                imaginary part of X is zero. 
 
      Example.  LOG(10.0) is 2.302581, approximately. 
 
LOG10 (X)

      F90 Mathematical Elemental. 
      
      Common logarithm. 
 
      Argument. X must be real. Complex numbers are an error. 
 
      Signals.  Same as X. 
      Units...  None, bad if X has units. 
      Form....  Same as X. 
 
      Result..  Processor approximation to log X (base 10). 
 
      Example.  LOG10(10.0) is 1.0 approximately. 
 
LOG2 (X)

      Mathematical Elemental. 
      
      Logarithm, base 2. 
 
      Argument. X must be real. Complex numbers are an error. 
 
      Signals.  Same as X. 
      Units...  None, bad if X has units. 
      Form....  Same as X. 
 
      Result..  Processor approximation to log X (base 2). 
 
      Example.  LOG2(8.0) is 3.0 approximately. 
 
LOGICAL (A,[KIND])

      Conversion Elemental. 
      
      Convert to a logical. True is 1BU, False is 0BU. 
 
      Argument. Optional: KIND. 
        A       integer. 
        KIND    scalar integer type number, for example, KIND($TRUE). 
                (Today, there is only one logical type.) 
 
      Signals.  Same as A. 
      Units...  Same as A. 
      Form....  Logical (byte_unsigned) of same shape. 
 
      Result..  True if lowest bit of converted integer is on. 
      >>>>>>>>>WARNING, truncation does not cause an error. 
 
      Example.  LOGICAL(_L OR NOT _L) is $TRUE. 
 
LONG (A)

      Conversion Elemental. Convert to long (four-byte) integer. 
 
      Argument. A must be numeric. 
 
      Signals.  Same as A. 
      Units...  Same as A. 
      Form....  Long-length integer of same shape. 
 
      Result..  The truncated whole part of A. 
                Immediate at compilation. 
      >>>>>>>>>WARNING, truncation does not cause an error. 
 
      Examples. LONG(123.4) is 123. 
 
LONG_UNSIGNED (A)

      Conversion Elemental. 
      
      Convert to long (four-byte) unsigned integer. 
 
      Argument. A must be numeric. 
 
      Signals.  Same as A. 
      Units...  Same as A. 
      Form....  Long-length unsigned integer of same shape. 
 
      Result..  The truncated whole part of A. 
                Immediate at compilation. 
      >>>>>>>>>WARNING, truncation does not cause an error. 
 
      Examples. LONG_UNSIGNED(123) is 123LU. 
                LONG_UNSIGNED(-1) is 4294967295LU. 
 
LT (X,Y)

      Logical Elemental. 
      
      Tests for first less or equal to second. 
      
      Usual Forms       X < Y, X LT Y. 
      Function Form     LT(X,Y). 
 
      Arguments X and Y must both be numeric or character. 
                Complex numbers are an error. 
 
      Signals.  Single signal or smaller data. 
      Units...  None unless both have units and they don't match. 
      Form....  Logical of compatible shape. 
 
      Result..  True if X is less than Y; otherwise, false. A reserved 
                operand is always false. Character are compared in the 
                processor collating sequence. 
      >>>>>>>>>WARNING, floating point operations may not match an exact 
                calculation for nonterminating binary fractions. You 
                cannot predict that .1+.1<=.2 is true. Integer values 
                may be truncated when matched to floating numbers. 
 
      Example.  2<2.0 is $FALSE.