expr(TCL)
expr 
evaluate an expression
Syntax
expr arg [arg ...]
Description
Concatenates args (adding separator spaces between them),
evaluates the result as a Tcl expression, and returns the value.
The operators permitted in Tcl expressions are a subset of
the operators permitted in C expressions, and they have the
same meaning and precedence as the corresponding C operators.
Expressions almost always yield numeric results
(integer or floatingpoint values).
For example, the expression
expr 8.2 + 6
evaluates to 14.2.
Tcl expressions differ from C expressions in the way that
operands are specified. Also, Tcl expressions support
nonnumeric operands and string comparisons.
Operands
A Tcl expression consists of a combination of operands, operators,
and parentheses.
Whitespace may be used between the operands and operators and
parentheses; it is ignored by the expression processor.
Where possible, operands are interpreted as integer values.
Integer values may be specified in decimal (the normal case), in octal (if the
first character of the operand is 0), or in hexadecimal (if the first
two characters of the operand are 0x).
If an operand does not have one of the integer formats given
above, then it is treated as a floatingpoint number if that is
possible. Floatingpoint numbers may be specified in any of the
ways accepted by an ANSIcompliant C compiler (except that the
``f'', ``F'', ``l'', and ``L'' suffixes will
not be permitted in most installations). For example, all of the
following are valid floatingpoint numbers: 2.1, 3., 6e4, 7.91e+16.
If no numeric interpretation is possible, then an operand is left
as a string (and only a limited set of operators may be applied to
it).
Operands may be specified in any of the following ways:

As a numeric value, either integer or floatingpoint.

As a Tcl variable, using standard $ notation.
The variable's value will be used as the operand.

As a string enclosed in doublequotes.
The expression parser will perform backslash, variable, and
command substitutions on the information between the quotes,
and use the resulting value as the operand.

As a string enclosed in braces.
The characters between the open brace and matching close brace
will be used as the operand without any substitutions.

As a Tcl command enclosed in brackets.
The command will be executed and its result will be used as
the operand.

As a mathematical function whose arguments have any of the above
forms for operands, such as sin($x).
See below for a list of defined functions.
Where substitutions occur above (for example, inside quoted strings), they
are performed by the expression processor.
However, an additional layer of substitution may already have
been performed by the command parser before the expression
processor was called.
As discussed below, it is usually best to enclose expressions
in braces to prevent the command parser from performing substitutions
on the contents.
For some examples of simple expressions, suppose the variable
a has the value 3 and
the variable b has the value 6.
Then the command on the left side of each of the lines below
will produce the value on the right side of the line:
expr 3.1 + $a 6.1
expr 2 + "$a.$b" 5.6
expr 4*[llength "6 2"] 8
expr {{word one} < "word $a"} 0
Operators
The valid operators are listed below, grouped in decreasing order
of precedence:
 ~ !
Unary minus, bitwise NOT, logical NOT. None of these operands
may be applied to string operands, and bitwise NOT may be
applied only to integers.
* / %
Multiply, divide, remainder. None of these operands may be
applied to string operands, and remainder may be applied only
to integers.
The remainder will always have the same sign as the divisor and
an absolute value smaller than the divisor.
+ 
Add and subtract. Valid for any numeric operands.
<< >>
Left and right shift. Valid for integer operands only.
< > <= >=
Boolean less, greater, less than or equal, and greater than or equal.
Each operator produces 1 if the condition is true, 0 otherwise.
These operators may be applied to strings as well as numeric operands,
in which case string comparison is used.
== !=
Boolean equal and not equal. Each operator produces 1
if the condition is true, 0 otherwise.
Valid for all operand types.
&
Bitwise AND. Valid for integer operands only.
^
Bitwise exclusive OR. Valid for integer operands only.

Bitwise OR. Valid for integer operands only.
&&
Logical AND.
Produces a 1 result if both operands are nonzero, 0 otherwise.
Valid for numeric operands only (integers or floatingpoint).

Logical OR. Produces a 0 result if both operands are zero, 1 otherwise.
Valid for numeric operands only (integers or floatingpoint).
x?y:z
Ifthenelse, as in C. If x
evaluates to nonzero, then the result is the value of y.
Otherwise the result is the value of z.
The x operand must have a numeric value.
Results produced by each operator correspond to the equivalent
operators in the C programming language.
All of the binary operators group lefttoright within the same
precedence level. For example, the command
expr 42 < 7
returns 0.
The &&, , and ?: operators have ``lazy
evaluation'', just as in C,
which means that operands are not evaluated if they are
not needed to determine the outcome. For example, in the command
expr {$v ? [a] : [b]}
only one of [a] or [b] will actually be evaluated,
depending on the value of $v. Note, however, that this is
only true if the entire expression is enclosed in braces; otherwise
the Tcl parser will evaluate both [a] and [b] before
invoking the expr command.
Math functions
Tcl supports the following mathematical functions in expressions:
acos cos hypot sinh
asin cosh log sqrt
atan exp log10 tan
atan2 floor pow tanh
ceil fmod sin
Each of these functions invokes the math library function of the same
name; see the manual entries for the library functions for further details.
Tcl also implements the following functions for
conversion between integers and floatingpoint numbers:
abs(arg)
Returns the absolute value of arg. arg may be either
integer or floatingpoint, and the result is returned in the same form.
double(arg)
If arg is a floatingpoint value, returns arg; otherwise converts
arg to floatingpoint and returns the converted value.
int(arg)
If arg is an integer value, returns arg; otherwise converts
arg to integer by truncation and returns the converted value.
round(arg)
If arg is an integer value, returns arg; otherwise converts
arg to integer by rounding and returns the converted value.
In addition to these predefined functions, applications may
define additional functions using Tcl_CreateMathFunc().
Types, overflow, and precision
All internal computations involving integers are done with the C type
long, and all internal computations involving floatingpoint are
done with the C type double.
When converting a string to floatingpoint, exponent overflow is
detected and results in a Tcl error.
For conversion to integer from string, detection of overflow depends
on the behavior of some routines in the local C library, so it should
be regarded as unreliable.
In any case, integer overflow and underflow are generally not detected
reliably for intermediate results. Floatingpoint overflow and underflow
are detected to the degree supported by the hardware, which is generally
reliable.
Conversion among internal representations for integer, floatingpoint,
and string operands is done automatically as needed.
For arithmetic computations, integers are used until some
floatingpoint number is introduced, after which floatingpoint is used.
For example
expr 5 / 4
returns 1, while
expr 5 / 4.0
expr 5 / ( [string length "abcd"] + 0.0 )
both return 1.25.
Floatingpoint values are always returned with a ``.''
or an ``e'' so that they will not look like integer values. For
example
expr 20.0/5.0
returns 4.0, not 4. The global variable tcl_precision
determines the number of significant digits that are retained
when floating values are converted to strings (except that trailing
zeroes are omitted). If tcl_precision
is unset then 6 digits of precision are used.
To retain all of the significant bits of an IEEE floatingpoint
number, set tcl_precision to 17; if a value is converted to a
string with 17 digits of precision and then converted back to binary
for some later calculation, the resulting binary value is guaranteed
to be identical to the original one.
String operations
String values may be used as operands of the comparison operators,
although the expression evaluator tries to do comparisons as integer
or floatingpoint when it can.
If one of the operands of a comparison is a string and the other
has a numeric value, the numeric operand is converted back to
a string using the C sprintf format specifier
%d for integers and %g for floatingpoint values.
For example, the commands
expr {"0x03" > "2"}
expr {"0y" < "0x12"}
both return 1. The first comparison is done using integer
comparison, and the second is done using string comparison after
the second operand is converted to the string ``18''.
© 2003 Caldera International, Inc. All rights reserved.
SCO OpenServer Release 5.0.7  11 February 2003