|
|
Эта страница руководства для версии 10.9 Mac OS XЕсли Вы выполняете различную версию Mac OS X, просматриваете документацию локально:
Читать страницы руководстваСтраницы руководства предназначаются как справочник для людей, уже понимающих технологию.
|
expr(n) Tcl Built-In Commands expr(n)
____________________________________________________________________________________________________________
NAME
expr - Evaluate an expression
SYNOPSIS
expr arg ?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 include a subset of the operators
permitted in C expressions. For those operators common to both Tcl and C, Tcl applies the same mean-ing meaning
ing and precedence as the corresponding C operators. Expressions almost always yield numeric results
(integer or floating-point 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 non-numeric operands and string comparisons, as well as some additional
operators not found in C.
OPERANDS
A Tcl expression consists of a combination of operands, operators, and parentheses. White space may
be used between the operands and operators and parentheses; it is ignored by the expression's
instructions. Where possible, operands are interpreted as integer values. Integer values may be |
specified in decimal (the normal case), in binary (if the first two characters of the operand are |
0b), in octal (if the first two characters of the operand are 0o), or in hexadecimal (if the first |
two characters of the operand are 0x). For compatibility with older Tcl releases, an octal integer |
value is also indicated simply when the first character of the operand is 0, whether or not the sec- |
ond character is also o. If an operand does not have one of the integer formats given above, then it |
is treated as a floating-point number if that is possible. Floating-point numbers may be specified |
in any of several common formats making use of the decimal digits, the decimal point ., the charac- |
ters e or E indicating scientific notation, and the sign characters + or -. For example, all of the |
following are valid floating-point numbers: 2.1, 3., 6e4, 7.91e+16. Also recognized as floating |
point values are the strings Inf and NaN making use of any case for each character. If no numeric
interpretation is possible (note that all literal operands that are not numeric or boolean must be
quoted with either braces or with double quotes), 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:
[1] As a numeric value, either integer or floating-point.
[2] As a boolean value, using any form understood by string is boolean.
[3] As a Tcl variable, using standard $ notation. The variable's value will be used as the oper-and. operand.
and.
[4] As a string enclosed in double-quotes. The expression parser will perform backslash, vari-able, variable,
able, and command substitutions on the information between the quotes, and use the resulting
value as the operand
[5] 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.
[6] As a Tcl command enclosed in brackets. The command will be executed and its result will be
used as the operand.
[7] As a mathematical function whose arguments have any of the above forms for operands, such as
sin($x). See MATH FUNCTIONS below for a discussion of how mathematical functions are handled.
Where the above substitutions occur (e.g. inside quoted strings), they are performed by the expres-sion's expression's
sion's instructions. However, the command parser may already have performed one round of substitu-tion substitution
tion 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"}_
OPERATORS
The valid operators (most of which are also available as commands in the tcl::mathop namespace; see
the mathop(n) manual page for details) are listed below, grouped in decreasing order of precedence:
- + ~ ! Unary minus, unary plus, bit-wise NOT, logical NOT. None of these operators may
be applied to string operands, and bit-wise NOT may be applied only to integers.
** Exponentiation. Valid for any numeric operands. |
* / % Multiply, divide, remainder. None of these operators 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. A right shift always
propagates the sign bit.
< > <= >= Boolean less, greater, less than or equal, and greater than or equal. Each oper-ator operator
ator 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 a zero/one result. Valid
for all operand types.
eq ne Boolean string equal and string not equal. Each operator produces a zero/one
result. The operand types are interpreted only as strings.
in ni List containment and negated list containment. Each operator produces a zero/one |
result and treats its first argument as a string and its second argument as a Tcl |
list. The in operator indicates whether the first argument is a member of the |
second argument list; the ni operator inverts the sense of the result.
& Bit-wise AND. Valid for integer operands only.
^ Bit-wise exclusive OR. Valid for integer operands only.
| Bit-wise OR. Valid for integer operands only.
&& Logical AND. Produces a 1 result if both operands are non-zero, 0 otherwise.
Valid for boolean and numeric (integers or floating-point) operands only.
|| Logical OR. Produces a 0 result if both operands are zero, 1 otherwise. Valid
for boolean and numeric (integers or floating-point) operands only.
x?y:z If-then-else, as in C. If x evaluates to non-zero, then the result is the value
of y. Otherwise the result is the value of z. The x operand must have a boolean
or numeric value.
See the C manual for more details on the results produced by each operator. The exponentiation oper- |
ator promotes types like the multiply and divide operators, and produces a result that is the same as |
the output of the pow function (after any type conversions.) All of the binary operators group left-to-right leftto-right
to-right within the same precedence level. For example, the command
expr {4*2 < 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 $v. Note, however,
that this is only true if the entire expression is enclosed in braces; otherwise the Tcl parser will
evaluate both "[a]" and "[b]" before invoking the expr command.
MATH FUNCTIONS
When the expression parser encounters a mathematical function such as sin($x), it replaces it with a |
call to an ordinary Tcl function in the tcl::mathfunc namespace. The processing of an expression |
such as: |
expr {sin($x+$y)} |
is the same in every way as the processing of: |
expr {[tcl::mathfunc::sin [expr {$x+$y}]]} |
which in turn is the same as the processing of: |
tcl::mathfunc::sin [expr {$x+$y}] |
The executor will search for tcl::mathfunc::sin using the usual rules for resolving functions in |
namespaces. Either ::tcl::mathfunc::sin or [namespace current]::tcl::mathfunc::sin will satisfy the |
request, and others may as well (depending on the current namespace path setting). |
See the mathfunc(n) manual page for the math functions that are available by default.
TYPES, OVERFLOW, AND PRECISION
All internal computations involving integers are done calling on the LibTomMath multiple precision |
integer library as required so that all integer calculations are performed exactly. Note that in Tcl |
releases prior to 8.5, integer calculations were performed with one of the C types long int or |
Tcl_WideInt, causing implicit range truncation in those calculations where values overflowed the |
range of those types. Any code that relied on these implicit truncations will need to explicitly add |
int() or wide() function calls to expressions at the points where such truncation is required to take |
place.
All internal computations involving floating-point are done with the C type double. When converting
a string to floating-point, exponent overflow is detected and results in the double value of Inf or
-Inf as appropriate. Floating-point overflow and underflow are detected to the degree supported by
the hardware, which is generally pretty reliable.
Conversion among internal representations for integer, floating-point, and string operands is done
automatically as needed. For arithmetic computations, integers are used until some floating-point
number is introduced, after which floating-point 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. Floating-point 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.
STRING OPERATIONS
String values may be used as operands of the comparison operators, although the expression evaluator
tries to do comparisons as integer or floating-point when it can, except in the case of the eq and ne
operators. If one of the operands of a comparison is a string and the other has a numeric value, a
canonical string representation of the numeric operand value is generated to compare with the string
operand. Canonical string representation for integer values is a decimal string format. Canonical
string representation for floating-point values is that produced by the %g format specifier of Tcl's
format command. 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. Because of Tcl's tendency
to treat values as numbers whenever possible, it is not generally a good idea to use operators like
== when you really want string comparison and the values of the operands could be arbitrary; it is
better in these cases to use the eq or ne operators, or the string command instead.
PERFORMANCE CONSIDERATIONS
Enclose expressions in braces for the best speed and the smallest storage requirements. This allows
the Tcl bytecode compiler to generate the best code.
As mentioned above, expressions are substituted twice: once by the Tcl parser and once by the expr
command. For example, the commands
set a 3
set b {$a + 2}
expr $b*4
return 11, not a multiple of 4. This is because the Tcl parser will first substitute $a + 2 for the
variable b, then the expr command will evaluate the expression $a + 2*4.
Most expressions do not require a second round of substitutions. Either they are enclosed in braces
or, if not, their variable and command substitutions yield numbers or strings that do not themselves
require substitutions. However, because a few unbraced expressions need two rounds of substitutions,
the bytecode compiler must emit additional instructions to handle this situation. The most expensive
code is required for unbraced expressions that contain command substitutions. These expressions must
be implemented by generating new code each time the expression is executed. When the expression is |
unbraced to allow the substitution of a function or operator, consider using the commands documented |
in the mathfunc(n) or mathop(n) manual pages directly instead.
EXAMPLES
Define a procedure that computes an "interesting" mathematical function:
proc tcl::mathfunc::calc {x y} {
expr { ($x**2 - $y**2) / exp($x**2 + $y**2) }
}
Convert polar coordinates into cartesian coordinates:
# convert from ($radius,$angle)
set x [expr { $radius * cos($angle) }]
set y [expr { $radius * sin($angle) }]
Convert cartesian coordinates into polar coordinates:
# convert from ($x,$y)
set radius [expr { hypot($y, $x) }]
set angle [expr { atan2($y, $x) }]
Print a message describing the relationship of two string values to each other:
puts "a and b are [expr {$a eq $b ? {equal} : {different}}]"
Set a variable to whether an environment variable is both defined at all and also set to a true
boolean value:
set isTrue [expr {
[info exists ::env(SOME_ENV_VAR)] &&
[string is true -strict $::env(SOME_ENV_VAR)]
}]
Generate a random integer in the range 0..99 inclusive:
set randNum [expr { int(100 * rand()) }]
SEE ALSO
array(n), for(n), if(n), mathfunc(n), mathop(n), namespace(n), proc(n), string(n), Tcl(n), while(n)
KEYWORDS
arithmetic, boolean, compare, expression, fuzzy comparison
COPYRIGHT
Copyright (c) 1993 The Regents of the University of California.
Copyright (c) 1994-2000 Sun Microsystems Incorporated.
Copyright (c) 2005 by Kevin B. Kenny <kennykb@acm.org>. All rights reserved.
Tcl 8.5 expr(n)
|
Сообщение о проблемах
Способ сообщить о проблеме с этой страницей руководства зависит от типа проблемы:
- Ошибки содержания
- Ошибки отчета в содержании этой документации к проекту Tcl.
- Отчеты об ошибках
- Сообщите об ошибках в функциональности описанного инструмента или API к Apple через Генератор отчетов Ошибки и к проекту Tcl через их страницу создания отчетов ошибки.
- Форматирование проблем
- Отчет, форматирующий ошибки в интерактивной версии этих страниц со ссылками на отзыв ниже.