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<HTML>
<BODY>
<PRE>
<!-- Manpage converted by man2html 3.0.1 -->

</PRE>
<H2>SYNOPSIS</H2><PRE>
       <B>blt::vector</B> <B>create</B> <I>vecName</I> ?<I>vecName</I>...? ?<I>switches</I>?

       <B>blt::vector</B> <B>destroy</B> <I>vecName</I> ?<I>vecName</I>...?

       <B>blt::vector</B> <B>expr</B> <I>expression</I>

       <B>blt::vector</B> <B>names</B> ?<I>pattern</I>...?


</PRE>
<H2>DESCRIPTION</H2><PRE>
       The <B>vector</B> command creates an array of floating point values.  The vec-
       tor's components can be manipulated in three ways: through a Tcl  array
       variable, a Tcl command, or the C API.


</PRE>
<H2>INTRODUCTION</H2><PRE>
       A vector is an ordered set of real numbers.  The components of a vector
       are indexed by integers.

       Vectors are common data structures for many applications.  For example,
       a  graph  may  use  two vectors to represent the X-Y coordinates of the
       data plotted.  The graph will automatically be redrawn when the vectors
       are  updated or changed. By using vectors, you can separate data analy-
       sis from the graph widget.  This makes it easier, for example,  to  add
       data  transformations, such as splines.  It's possible to plot the same
       data to in multiple graphs, where each graph presents a different  view
       or scale of the data.

       You  could  try to use Tcl's associative arrays as vectors.  Tcl arrays
       are easy to use.  You can access individual elements randomly by speci-
       fying  the  index,  or  the set the entire array by providing a list of
       index and value pairs for each element.  The disadvantages of  associa-
       tive  arrays  as  vectors  lie in the fact they are implemented as hash
       tables.

       <B>o</B> There's no implied ordering to the associative arrays.  If  you  used
         vectors  for  plotting, you would want to insure the second component
         comes after the first, an so on.  This isn't  possible  since  arrays
         are actually hash tables.  For example, you can't get a range of val-
         ues between two indices.  Nor can you sort an array.

       <B>o</B> Arrays consume lots of memory when the  number  of  elements  becomes
         large  (tens of thousands).  This is because each element's index and
         value are stored as strings in the hash table.

       <B>o</B> The C programming interface is unwieldy.  Normally with vectors,  you
         would  like to view the Tcl array as you do a C array, as an array of
         floats or doubles.  But with hash tables, you must convert  both  the
         index  and  value to and from decimal strings, just to access an ele-
         ment in the array.  This makes it cumbersome to perform operations on
         the array as a whole.

       The  <B>vector</B>  command  tries to overcome these disadvantages while still
       0.0.  In addition, both a Tcl command and array variable, both named y,
       are created.  You can use either the command or variable  to  query  or
       modify components of the vector.  # Set the first value.  set <B>y(0)</B> 9.25
       puts "y has [y length] components" The array y can be used to  read  or
       set individual components of the vector.  Vector components are indexed
       from zero.  The array index must be a number less than  the  number  of
       components.  For example, it's an error if you try to set the 51st ele-
       ment of y.  # This is an error. The vector only has 50 components.  set
       <B>y(50)</B> 0.02 You can also specify a range of indices using a colon (:) to
       separate the first and last indices of the range.  # Set the first  six
       components  of y set y(0:5) 25.2 If you don't include an index, then it
       will default to the first and/or last component of the vector.  # Print
       out  all  the  components  of y puts "y = $y(:)" There are special non-
       numeric indices.  The index end, specifies the last  component  of  the
       vector.  It's an error to use this index if the vector is empty (length
       is zero).  The index ++end can be used to extend the vector by one com-
       ponent  and initialize it to a specific value.  You can't read from the
       array using this index, though.  # Extend the vector by one  component.
       set  y(++end)  0.02  The  other  special indices are min and max.  They
       return the current smallest and largest components of  the  vector.   #
       Print the bounds of the vector puts "min=$y(min) max=$y(max)" To delete
       components from a vector, simply unset the corresponding array element.
       In the following example, the first component of y is deleted.  All the
       remaining components of y will be moved down by one index as the length
       of  the  vector  is reduced by one.  # Delete the first component unset
       <B>y(0)</B> puts "new first element is $<B>y(0)</B>" The  vector's  Tcl  command  can
       also  be  used to query or set the vector.  # Create and set the compo-
       nents of a new vector blt::vector create x x set { 0.02 0.04 0.06  0.08
       0.10 0.12 0.14 0.16 0.18 0.20 } Here we've created a vector x without a
       initial length specification.  In this case, the length is  zero.   The
       <B>set</B>  operation  resets  the vector, extending it and setting values for
       each new component.

       There are several operations for vectors.  The  <B>range</B>  operation  lists
       the  components of a vector between two indices.  # List the components
       puts "x = [x range 0 end]" You can search for a particular value  using
       the  <B>search</B>  operation.  It returns a list of indices of the components
       with the same value.  If no component has the same  value,  it  returns
       "".   #  Find  the index of the biggest component set indices [x search
       $x(max)] Other operations copy,  append,  or  sort  vectors.   You  can
       append  vectors  or  new values onto an existing vector with the <B>append</B>
       operation.  # Append assorted vectors and values to x x append x2 x3  {
       2.3  4.5  }  x4 The <B>sort</B> operation sorts the vector.  If any additional
       vectors are specified, they are rearranged in the  same  order  as  the
       vector.   For example, you could use it to sort data points represented
       by x and y vectors.  # Sort the data points x sort y The  vector  x  is
       sorted  while  the  components of y are rearranged so that the original
       x,y coordinate pairs are retained.

       The <B>expr</B> operation lets you perform arithmetic on vectors.  The  result
       is stored in the vector.  # Add the two vectors and a scalar x expr { x
       + y } x expr { x * 2 } When a vector is modified, resized, or  deleted,
       Vectors are created using the <B>vector</B> <B>create</B> operation.  Th <B>create</B> oper-
       ation can be invoked in one of three forms:

       <B>blt::vector</B> <B>create</B> <I>vecName</I>
              This  creates a new vector <I>vecName</I> which initially has no compo-
              nents.

       <B>blt::vector</B> <B>create</B> <I>vecName</I>(<I>size</I>)
              This second form creates a new vector which  will  contain  <I>size</I>
              number  of  components.  The components will be indexed starting
              from zero (0). The default value for the components is 0.0.

       <B>blt::vector</B> <B>create</B> <I>vecName</I>(<I>first</I>:<I>last</I>)
              The last form creates a new  vector  of  indexed  <I>first</I>  through
              <I>last</I>.   <I>First</I> and <I>last</I> can be any integer value so long as <I>first</I>
              is less than <I>last</I>.

       Vector names must start with a letter and consist of  letters,  digits,
       or  underscores.   #  Error:  must start with letter blt::vector create
       1abc You can automatically generate vector names using the "#auto" vec-
       tor  name.   The  <B>create</B>  operation will generate a unique vector name.
       set vec [blt::vector create #auto] puts "$vec has [$vec length]  compo-
       nents"

   <B>VECTOR</B> <B>INDICES</B>
       Vectors  are indexed by integers.  You can access the individual vector
       components via its array variable or Tcl command.   The  string  repre-
       senting  the index can be an integer, a numeric expression, a range, or
       a special keyword.

       The index must lie within the current range of the vector, otherwise an
       an  error  message  is  returned.  Normally the indices of a vector are
       start from 0.  But you can use the <B>offset</B> operation to  change  a  vec-
       tor's  indices  on-the-fly.   puts  $<B>vecName(0)</B>  vecName offset -5 puts
       $vecName(-5) You can also use  numeric  expressions  as  indices.   The
       result  of  the expression must be an integer value.  set n 21 set vec-
       Name($n+3) 50.2 The following special non-numeric  indices  are  avail-
       able:  min,  max, end, and ++end.  puts "min = $vecName($min)" set vec-
       Name(end) -1.2 The indices min and max will return the minimum and max-
       imum values of the vector.  The index end returns the value of the last
       component in the vector.  The index ++end is used to append  new  value
       onto  the vector.  It automatically extends the vector by one component
       and sets its value.  # Append an new component  to  the  end  set  vec-
       Name(++end)  3.2 A range of indices can be indicated by a colon (:).  #
       Set the first six components to 1.0 set vecName(0:5) 1.0 If no index is
       supplied the first or last component is assumed.  # Print the values of
       all the components puts $vecName(:)


</PRE>
<H2>VECTOR OPERATIONS</H2><PRE>
       <B>blt::vector</B> <B>create</B> <I>vecName</I>?(<I>size</I>)?... ?<I>switches</I>?
              The <B>create</B> operation creates a new vector <I>vecName</I>.  Both  a  Tcl
              command  and  array variable <I>vecName</I> are also created.  The name
                     then  no  variable  will be mapped.  You can always map a
                     variable back to the vector using the  vector's  <B>variable</B>
                     operation.

              <B>-command</B> <I>cmdName</I>
                     Maps  a  Tcl  command  to  the  vector. The vector can be
                     accessed using <I>cmdName</I> and one  of  the  vector  instance
                     operations.   A  Tcl  command by that name cannot already
                     exist.  If <I>cmdName</I> is the empty string, no  command  map-
                     ping will be made.

              <B>-watchunset</B> <I>boolean</I>
                     Indicates  that  the  vector  should automatically delete
                     itself if the variable  associated  with  the  vector  is
                     unset.  By default, the vector will not be deleted.  This
                     is different from  previous  releases.   Set  <I>boolean</I>  to
                     "true" to get the old behavior.

       <B>blt::vector</B> <B>destroy</B> <I>vecName</I> ?<I>vecName...</I>?
              Deletes  one  or  more  vectors.  Both the Tcl command and array
              variable are removed also.

       <B>blt::vector</B> <B>expr</B> <I>expression</I>
              All binary operators take vectors  as  operands  (remember  that
              numbers are treated as one-component vectors).  The exact action
              of binary operators depends upon the length of the second  oper-
              and.   If  the  second operand has only one component, then each
              element of the first vector operand is computed by  that  value.
              For  example,  the  expression "x * 2" multiples all elements of
              the vector x by 2.  If the second operand has more than one com-
              ponent,  both  operands  must  be the same length.  Each pair of
              corresponding elements are computed.  So "x + y"  adds  the  the
              first components of x and y together, the second, and so on.

              The  valid  operators  are  listed  below, grouped in decreasing
              order of precedence:

              <B>-</B>  <B>!</B>                Unary minus  and  logical  NOT.   The  unary
                                  minus  flips  the  sign of each component in
                                  the  vector.   The  logical   not   operator
                                  returns  a vector of whose values are 0.0 or
                                  1.0.  For each  non-zero  component  1.0  is
                                  returned, 0.0 otherwise.

              <B>^</B>                   Exponentiation.

              <B>*</B>  <B>/</B>  <B>%</B>             Multiply, divide, remainder.

              <B>+</B>  <B>-</B>                Add and subtract.

              <B>&lt;&lt;</B>  <B>&gt;&gt;</B>              Left and right shift.  Circularly shifts the
                                  values of the vector (not implemented  yet).

              <B>&amp;&amp;</B>                  Logical AND.  Produces a 1  result  if  both
                                  operands are non-zero, 0 otherwise.

              <B>||</B>                  Logical OR.  Produces a 0 result if both op-
                                  erands are zero, 1 otherwise.

              <I>x</I><B>?</B><I>y</I><B>:</B><I>z</I>               If-then-else, as  in  C.   (Not  implemented
                                  yet).

              See  the  C  manual  for more details on the results produced by
              each operator.  All of the binary operators group  left-to-right
              within the same precedence level.

              Several  mathematical functions are supported for vectors.  Each
              of the following functions invokes the math library function  of
              the  same name; see the manual entries for the library functions
              for details on what they do.  The operation is  applied  to  all
              elements     of    the    vector    returning    the    results.
              <B>acos</B>        <B>cos</B>         <B>hypot</B>      <B>sinh</B>
              <B>asin</B>        <B>cosh</B>        <B>log</B>        <B>sqrt</B>
              <B>atan</B>        <B>exp</B>         <B>log10</B>      <B>tan</B>
              <B>ceil</B>        <B>floor</B>       <B>sin</B>        <B>tanh</B>   Additional   functions
              are:

              <B>abs</B>       Returns the absolute value of each component.

              <B>random</B>    Returns a vector of non-negative values uniformly dis-
                        tributed  between  [0.0, 1.0) using <I>drand48</I>.  The seed
                        comes from the internal clock of the machine or may be
                        set manual with the srandom function.

              <B>round</B>     Rounds each component of the vector.

              <B>srandom</B>   Initializes the random number generator using <I>srand48</I>.
                        The high order 32-bits are set using the integral por-
                        tion  of  the first vector component. All other compo-
                        nents are ignored.  The low order 16-bits are  set  to
                        an arbitrary value.

              The following functions return a single value.

              <B>adev</B>      Returns  the  average deviation (defined as the sum of
                        the absolute values of the differences between  compo-
                        nent  and  the mean, divided by the length of the vec-
                        tor).

              <B>kurtosis</B>  Returns the degree of peakedness  (fourth  moment)  of
                        the vector.

              <B>length</B>    Returns the number of components in the vector.

              <B>max</B>       Returns the vector's maximum value.
                        root of the variance) of the vector.

              <B>skew</B>      Returns the skewness (or third moment) of the  vector.
                        This characterizes the degree of asymmetry of the vec-
                        tor about the mean.

              <B>sum</B>       Returns the sum of the components.

              <B>var</B>       Returns the variance of the vector.  The  sum  of  the
                        squared  differences  between  each  component and the
                        mean is computed.  The variance is the sum divided  by
                        the length of the vector minus 1.

              The  last  set  returns a vector of the same length as the argu-
              ment.

              <B>norm</B>      Scales the values of the vector to lie  in  the  range
                        [0.0..1.0].

              <B>sort</B>      Returns  the  vector  components  sorted  in ascending
                        order.

       <B>vector</B> <B>names</B> ?<I>pattern</I>?


</PRE>
<H2>INSTANCE OPERATIONS</H2><PRE>
       You can also use the vector's Tcl command to query or modify  it.   The
       general  form  is  <I>vecName</I>  <I>operation</I>  ?<I>arg</I>?...  Both <I>operation</I> and its
       arguments determine the exact behavior of the command.  The  operations
       available for vectors are listed below.

       <I>vecName</I> <B>append</B> <I>item</I> ?<I>item</I>?...
              Appends  the component values from <I>item</I> to <I>vecName</I>.  <I>Item</I> can be
              either the name of a vector or a list of numeric values.

       <I>vecName</I> <B>binread</B> <I>channel</I> ?<I>length</I>? ?<I>switches</I>?
              Reads binary values  from  a  Tcl  channel.  Values  are  either
              appended  to  the  end  of the vector or placed at a given index
              (using the <B>-at</B> option), overwriting existing  values.   Data  is
              read  until EOF is found on the channel or a specified number of
              values <I>length</I> are read (note that this is  not  necessarily  the
              same  as  the  number of bytes). The following switches are sup-
              ported:

              <B>-swap</B>  Swap bytes and words.  The default  endian  is  the  host
                     machine.

              <B>-at</B> <I>index</I>
                     New  values  will start at vector index <I>index</I>.  This will
                     overwrite any current values.

              <B>-format</B> <I>format</I>
                     Specifies the format of the data.  <I>Format</I> can be  one  of

              This command removes the index and value strings from the array.
              This is useful when the vector is large.

       <I>vecName</I> <B>delete</B> <I>index</I> ?<I>index</I>?...
              Deletes the <I>index</I>th component from the vector <I>vecName</I>.  <I>Index</I> is
              the index of the element to be deleted.  This  is  the  same  as
              unsetting  the array variable element <I>index</I>.  The vector is com-
              pacted after all the indices have been deleted.

       <I>vecName</I> <B>dup</B> <I>destName</I>
              Copies <I>vecName</I> to <I>destName</I>. <I>DestName</I> is the name of  a  destina-
              tion  vector.   If a vector <I>destName</I> already exists, it is over-
              written with the components of <I>vecName</I>.  Otherwise a new  vector
              is created.

       <I>vecName</I> <B>expr</B> <I>expression</I>
              Computes  the  expression  and  resets  the values of the vector
              accordingly.   Both  scalar  and  vector  math  operations   are
              allowed.   All  values in expressions are either real numbers or
              names of vectors.  All numbers are treated as one component vec-
              tors.

       <I>vecName</I> <B>length</B> ?<I>newSize</I>?
              Queries  or resets the number of components in <I>vecName</I>.  <I>NewSize</I>
              is a number specifying the new size of the vector.   If  <I>newSize</I>
              is  smaller  than  the current size of <I>vecName</I>, <I>vecName</I> is trun-
              cated.  If <I>newSize</I> is greater, the vector is  extended  and  the
              new  components  are initialized to 0.0.  If no <I>newSize</I> argument
              is present, the current length of the vector is returned.

       <I>vecName</I> <B>merge</B> <I>srcName</I> ?<I>srcName</I>?...
              Merges the named vectors into a single  vector.   The  resulting
              vector is formed by merging the components of each source vector
              one index at a time.

       <I>vecName</I> <B>notify</B> <I>keyword</I>
              Controls how vector clients are notified of changes to the  vec-
              tor.  The exact behavior is determined by <I>keyword</I>.

              always Indicates  that  clients  are  to be notified immediately
                     whenever the vector is updated.

              never  Indicates that no clients are to be notified.

              whenidle
                     Indicates that clients are to be  notified  at  the  next
                     idle point whenever the vector is updated.

              now    If  any  client  notifications is currently pending, they
                     are notified immediately.

              cancel Cancels pending notifications of clients using  the  vec-
              interval between each of the original components will contain  a
              <I>density</I>  number  of new components, whose values are evenly dis-
              tributed between the original components values.  This is useful
              for generating abscissas to be interpolated along a spline.

       <I>vecName</I> <B>range</B> <I>firstIndex</I> ?<I>lastIndex</I>?...
              Returns  a list of numeric values representing the vector compo-
              nents between two indices. Both  <I>firstIndex</I>  and  <I>lastIndex</I>  are
              indices  representing the range of components to be returned. If
              <I>lastIndex</I> is less than <I>firstIndex</I>, the components are listed  in
              reverse order.

       <I>vecName</I> <B>search</B> <I>value</I> ?<I>value</I>?
              Searches  for a value or range of values among the components of
              <I>vecName</I>.  If one <I>value</I> argument is given, a list of  indices  of
              the components which equal <I>value</I> is returned.  If a second <I>value</I>
              is also provided, then the indices of all components  which  lie
              within  the  range of the two values are returned.  If no compo-
              nents are found, then "" is returned.

       <I>vecName</I> <B>set</B> <I>item</I>
              Resets the components of the vector to <I>item</I>. <I>Item</I> can be  either
              a list of numeric expressions or another vector.

       <I>vecName</I> <B>seq</B> <I>start</I> ?<I>finish</I>? ?<I>step</I>?
              Generates  a  sequence  of values starting with the value <I>start</I>.
              <I>Finish</I> indicates the terminating value  of  the  sequence.   The
              vector  is  automatically  resized to contain just the sequence.
              If three arguments are present, <I>step</I> designates the interval.

              With only two arguments (no <I>finish</I> argument), the sequence  will
              continue  until  the  vector  is filled.  With one argument, the
              interval defaults to 1.0.

       <I>vecName</I> <B>sort</B> ?<B>-reverse</B>? ?<I>argName</I>?...
              Sorts the vector <I>vecName</I> in increasing order.  If  the  <B>-reverse</B>
              flag  is  present, the vector is sorted in decreasing order.  If
              other arguments <I>argName</I> are present, they are the names of  vec-
              tors  which  will  be  rearranged in the same manner as <I>vecName</I>.
              Each vector must be the same length as <I>vecName</I>.  You  could  use
              this  to sort the x vector of a graph, while still retaining the
              same x,y coordinate pairs in a y vector.

       <I>vecName</I> <B>variable</B> <I>varName</I>
              Maps a Tcl variable to the vector, creating  another  means  for
              accessing the vector.  The variable <I>varName</I> can't already exist.
              This overrides any current variable mapping the vector may have.


</PRE>
<H2>C LANGUAGE API</H2><PRE>
       You  can create, modify, and destroy vectors from C code, using library
       routines.  You need to include the header file blt.h. It  contains  the
       definition  of  the  structure <B>Blt_Vector</B>, which represents the vector.

       <B>Blt_CreateVector</B>

         Synopsis: int <B>Blt_CreateVector</B> (<I>interp</I>, <I>vecName</I>, <I>length</I>, <I>vecPtrPtr</I>)
                      Tcl_Interp *<I>interp</I>; char *<I>vecName</I>; int <I>length</I>;  Blt_Vec-
                      tor **<I>vecPtrPtr</I>;

         Description:
                   Creates  a  new  vector  <I>vecName</I>  with  a length of <I>length</I>.
                   <B>Blt_CreateVector</B> creates both a new Tcl command  and  array
                   variable  <I>vecName</I>.   Neither  a  command nor variable named
                   <I>vecName</I> can already exist.  A  pointer  to  the  vector  is
                   placed into <I>vecPtrPtr</I>.

         Results:  Returns  TCL_OK  if the vector is successfully created.  If
                   <I>length</I> is negative,  a  Tcl  variable  or  command  <I>vecName</I>
                   already  exists, or memory cannot be allocated for the vec-
                   tor, then TCL_ERROR is  returned  and  <I>interp-&gt;result</I>  will
                   contain an error message.


       <B>Blt_DeleteVectorByName</B>

         Synopsis: int <B>Blt_DeleteVectorByName</B> (<I>interp</I>, <I>vecName</I>)
                      Tcl_Interp *<I>interp</I>; char *<I>vecName</I>;

         Description:
                   Removes  the vector <I>vecName</I>.  <I>VecName</I> is the name of a vec-
                   tor which must already exist.  Both  the  Tcl  command  and
                   array  variable  <I>vecName</I> are destroyed.  All clients of the
                   vector will be notified immediately  that  the  vector  has
                   been destroyed.

         Results:  Returns  TCL_OK  if the vector is successfully deleted.  If
                   <I>vecName</I> is  not  the  name  a  vector,  then  TCL_ERROR  is
                   returned  and <I>interp-&gt;result</I> will contain an error message.


       <B>Blt_DeleteVector</B>

         Synopsis: int <B>Blt_DeleteVector</B> (<I>vecPtr</I>)
                      Blt_Vector *<I>vecPtr</I>;

         Description:
                   Removes the vector pointed  to  by  <I>vecPtr</I>.   <I>VecPtr</I>  is  a
                   pointer  to  a  vector,  typically  set by <B>Blt_GetVector</B> or
                   <B>Blt_CreateVector</B>.  Both the Tcl command and array  variable
                   of  the  vector  are  destroyed.  All clients of the vector
                   will be notified  immediately  that  the  vector  has  been
                   destroyed.

         Results:  Returns  TCL_OK  if the vector is successfully deleted.  If

         Results:  Returns TCL_OK if the vector is successfully retrieved.  If
                   <I>vecName</I> is not the name of  a  vector,  then  TCL_ERROR  is
                   returned  and <I>interp-&gt;result</I> will contain an error message.


       <B>Blt_ResetVector</B>


         Synopsis: int <B>Blt_ResetVector</B> (<I>vecPtr</I>,  <I>dataArr</I>,              <I>numVal-</I>
                   <I>ues</I>, <I>arraySize</I>, <I>freeProc</I>)
                      Blt_Vector *<I>vecPtr</I>; double *<I>dataArr</I>; int *<I>numValues</I>; int
                      *<I>arraySize</I>; Tcl_FreeProc *<I>freeProc</I>;

         Description:
                   Resets the components of the vector pointed to  by  <I>vecPtr</I>.
                   Calling <B>Blt_ResetVector</B> will trigger the vector to dispatch
                   notifications to its clients. <I>DataArr</I> is the array of  dou-
                   bles  which  represents  the  vector data. <I>NumValues</I> is the
                   number of elements in the array. <I>ArraySize</I>  is  the  actual
                   size  of the array (the array may be bigger than the number
                   of values stored in it). <I>FreeProc</I> indicates how the storage
                   for the vector component array (<I>dataArr</I>) was allocated.  It
                   is used to determine how to reallocate memory when the vec-
                   tor  is  resized  or  destroyed.   It  must be TCL_DYNAMIC,
                   TCL_STATIC, TCL_VOLATILE, or a pointer  to  a  function  to
                   free the memory allocated for the vector array. If <I>freeProc</I>
                   is TCL_VOLATILE, it indicates that <I>dataArr</I> must  be  copied
                   and  saved.   If <I>freeProc</I> is TCL_DYNAMIC, it indicates that
                   <I>dataArr</I> was dynamically allocated and that Tcl should  free
                   <I>dataArr</I> if necessary.  Static indicates that nothing should
                   be done to release storage for <I>dataArr</I>.

         Results:  Returns TCL_OK if the vector is successfully  resized.   If
                   <I>newSize</I>  is  negative,  a vector <I>vecName</I> does not exist, or
                   memory cannot be allocated for the vector,  then  TCL_ERROR
                   is  returned  and <I>interp-&gt;result</I> will contain an error mes-
                   sage.


       <B>Blt_ResizeVector</B>

         Synopsis: int <B>Blt_ResizeVector</B> (<I>vecPtr</I>, <I>newSize</I>)
                      Blt_Vector *<I>vecPtr</I>; int <I>newSize</I>;

         Description:
                   Resets the length of the vector pointed  to  by  <I>vecPtr</I>  to
                   <I>newSize</I>.   If  <I>newSize</I>  is smaller than the current size of
                   the vector, it is truncated.  If <I>newSize</I>  is  greater,  the
                   vector  is  extended and the new components are initialized
                   to 0.0.  Calling <B>Blt_ResetVector</B> will trigger the vector to
                   dispatch notifications.

            Results:  Returns 1 if a vector <I>vecName</I> exists and 0 otherwise.


         If your application needs to be notified when a  vector  changes,  it
         can allocate a unique <I>client</I> <I>identifier</I> for itself.  Using this iden-
         tifier, you can then register a call-back to  be  made  whenever  the
         vector  is updated or destroyed.  By default, the call-backs are made
         at the next idle point.  This can be changed to occur at the time the
         vector  is modified.  An application can allocate more than one iden-
         tifier for any vector.  When the client application is done with  the
         vector, it should free the identifier.

         The call-back routine must of the following type.

                typedef void (<B>Blt_VectorChangedProc</B>) (Tcl_Interp *<I>interp</I>,
                   ClientData <I>clientData</I>, Blt_VectorNotify <I>notify</I>);

         <I>ClientData</I>  is passed to this routine whenever it is called.  You can
         use this to pass information to the call-back.  The  <I>notify</I>  argument
         indicates  whether the vector has been updated of destroyed. It is an
         enumerated type.

                typedef enum {
                    BLT_VECTOR_NOTIFY_UPDATE=1,
                    BLT_VECTOR_NOTIFY_DESTROY=2 } <B>Blt_VectorNotify</B>;


         <B>Blt_AllocVectorId</B>

            Synopsis: Blt_VectorId <B>Blt_AllocVectorId</B> (<I>interp</I>, <I>vecName</I>)
                        Tcl_Interp *<I>interp</I>; char *<I>vecName</I>;

            Description:
                      Allocates an client identifier for with the vector  <I>vec-</I>
                      <I>Name</I>.   This  identifier  can be used to specify a call-
                      back which is triggered when the vector  is  updated  or
                      destroyed.

            Results:  Returns  a  client identifier if successful.  If <I>vecName</I>
                      is not the name of a vector, then NULL is  returned  and
                      <I>interp-&gt;result</I> will contain an error message.


         <B>Blt_GetVectorById</B>

            Synopsis: int <B>Blt_GetVector</B> (<I>interp</I>, <I>clientId</I>, <I>vecPtrPtr</I>)
                        Tcl_Interp  *<I>interp</I>; Blt_VectorId <I>clientId</I>; Blt_Vector
                        **<I>vecPtrPtr</I>;

            Description:
                      Retrieves the vector used by <I>clientId</I>.   <I>ClientId</I>  is  a

            Description:
                      Specifies a call-back routine to be called whenever  the
                      vector  associated  with <I>clientId</I> is updated or deleted.
                      <I>Proc</I> is a pointer to call-back routine and  must  be  of
                      the  type  <B>Blt_VectorChangedProc</B>.   <I>ClientData</I> is a one-
                      word value to be  passed  to  the  routine  when  it  is
                      invoked.  If  <I>proc</I> is NULL, then the client is not noti-
                      fied.

            Results:  The designated call-back procedure will be invoked  when
                      the vector is updated or destroyed.


         <B>Blt_FreeVectorId</B>

            Synopsis: void <B>Blt_FreeVectorId</B> (<I>clientId</I>);
                        Blt_VectorId <I>clientId</I>;

            Description:
                      Frees  the  client identifier.  Memory allocated for the
                      identifier is released.  The client will  no  longer  be
                      notified when the vector is modified.

            Results:  The  designated call-back procedure will be no longer be
                      invoked when the vector is updated or destroyed.


         <B>Blt_NameOfVectorId</B>

            Synopsis: char *<B>Blt_NameOfVectorId</B> (<I>clientId</I>);
                        Blt_VectorId <I>clientId</I>;

            Description:
                      Retrieves the name of the  vector  associated  with  the
                      client identifier <I>clientId</I>.

            Results:  Returns the name of the vector associated with <I>clientId</I>.
                      If <I>clientId</I> is not an identifier or the vector has  been
                      destroyed, NULL is returned.


         <B>Blt_InstallIndexProc</B>

            Synopsis: void <B>Blt_InstallIndexProc</B> (<I>indexName</I>, <I>procPtr</I>)
                        char *<I>indexName</I>; Blt_VectorIndexProc *<I>procPtr</I>;

            Description:
                      Registers a function to be called to retrieved the index
                      <I>indexName</I> from the vector's array variable.

                      typedef double Blt_VectorIndexProc(Vector *vecPtr);

       difference  what  the  initial  size  of the vector is since it will be
       reset shortly. The vector is updated  when  <B>lt_ResetVector</B>  is  called.
       Blt_ResetVector  makes  the  changes  visible  to the Tcl interface and
       other vector clients (such as a graph widget).

       #include   &lt;tcl.h&gt;   #include   &lt;blt.h&gt;                      Blt_Vector
       *vecPtr;  double  *newArr;  FILE *f; struct stat statBuf; int numBytes,
       numValues;

       f = fopen("binary.dat", "r"); fstat(fileno(f),  &amp;statBuf);  numBytes  =
       (int)statBuf.st_size;

       /*  Allocate an array big enough to hold all the data */ newArr = (dou-
       ble  *)malloc(numBytes);  numValues  =   numBytes   /   sizeof(double);
       fread((void *)newArr, numValues, sizeof(double), f); fclose(f);

       if (Blt_VectorExists(interp, "data"))  {
           if   (Blt_GetVector(interp,   "data",   &amp;vecPtr)   !=   TCL_OK)   {
                   return TCL_ERROR;
           } } else {
          if  (Blt_CreateVector(interp,  "data",  0,  &amp;vecPtr)  !=  TCL_OK)  {
                   return TCL_ERROR;
          } } /*
        * Reset the vector. Clients will be notified when Tk is idle.
        * TCL_DYNAMIC tells the vector to free the memory allocated
        * if it needs to reallocate or destroy the vector.
        */   if   (Blt_ResetVector(vecPtr,   newArr,   numValues,   numValues,
                   TCL_DYNAMIC) != TCL_OK) {
           return TCL_ERROR; }


</PRE>
<H2>INCOMPATIBILITIES</H2><PRE>
       In previous versions, if the array variable isn't global (i.e. local to
       a Tcl procedure), the vector is automatically destroyed when the proce-
       dure returns.  proc doit {} {
           # Temporary vector x
           vector <B>x(10)</B>
           set <B>x(9)</B> 2.0
             ...  }

       This has changed.  Variables are not automatically destroyed when their
       variable  is  unset.   You  can restore the old behavior by setting the
       "-watchunset" switch.


</PRE>
<H2>KEYWORDS</H2><PRE>
       vector, graph, widget



BLT                               BLT_VERSION                   blt::vector(n)
</PRE>
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