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C++ Mathematical Expression Library (ExprTk) http://www.partow.net/programming/exprtk/index.html
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Arash Partow
72
readme.txt
72
readme.txt
@ -53,7 +53,7 @@ expressions that can be parsed and evaluated using the ExprTk library.
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(01) sqrt(1 - (3 / x^2))
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(02) clamp(-1, sin(2 * pi * x) + cos(y / 2 * pi), +1)
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(03) sin(2.34e-3 * x)
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(04) if(((x + 2) == 3) and ((y + 5) <= 9),1 + w, 2 / z)
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(04) if(((x[2] + 2) == 3) and ((y + 5) <= 9),1 + w, 2 / z)
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(05) inrange(-2,m,+2) == if(({-2 <= m} and [m <= +2]),1,0)
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(06) ({1/1}*[1/2]+(1/3))-{1/4}^[1/5]+(1/6)-({1/7}+[1/8]*(1/9))
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(07) a * exp(2.2 / 3.3 * t) + c
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@ -62,12 +62,12 @@ expressions that can be parsed and evaluated using the ExprTk library.
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(10) 2x + 3y + 4z + 5w == 2 * x + 3 * y + 4 * z + 5 * w
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(11) 3(x + y) / 2.9 + 1.234e+12 == 3 * (x + y) / 2.9 + 1.234e+12
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(12) (x + y)3.3 + 1 / 4.5 == [x + y] * 3.3 + 1 / 4.5
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(13) (x + y)z + 1.1 / 2.7 == (x + y) * z + 1.1 / 2.7
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(13) (x + y[i])z + 1.1 / 2.7 == (x + y[i]) * z + 1.1 / 2.7
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(14) (sin(x / pi) cos(2y) + 1) == (sin(x / pi) * cos(2 * y) + 1)
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(15) 75x^17 + 25.1x^5 - 35x^4 - 15.2x^3 + 40x^2 - 15.3x + 1
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(16) (avg(x,y) <= x + y ? x - y : x * y) + 2.345 * pi / x
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(17) fib_i := fib_i + (x := y + 0 * (fib_i := x + (y := fib_i)))
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(18) while (x <= 100) { x := x + 1 }
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(18) while (x <= 100) { x -= 1; }
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(19) x <= 'abc123' and (y in 'AString') or ('1x2y3z' != z)
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(20) (x like '*123*') or ('a123b' ilike y)
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@ -124,37 +124,37 @@ include path (e.g: /usr/include/).
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+----------+---------------------------------------------------------+
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| OPERATOR | DEFINITION |
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+----------+---------------------------------------------------------+
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| + | Addition between x and y. (eg: x + y) |
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| + | Addition between x and y. (eg: x + y) |
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+----------+---------------------------------------------------------+
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| - | Subtraction between x and y. (eg: x - y) |
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| - | Subtraction between x and y. (eg: x - y) |
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+----------+---------------------------------------------------------+
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| * | Multiplication between x and y. (eg: x * y) |
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| * | Multiplication between x and y. (eg: x * y) |
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+----------+---------------------------------------------------------+
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| / | Division between x and y (eg: x / y) |
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| / | Division between x and y. (eg: x / y) |
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+----------+---------------------------------------------------------+
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| % | Modulus of x with respect to y. (eg: x % y) |
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| % | Modulus of x with respect to y. (eg: x % y) |
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+----------+---------------------------------------------------------+
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| ^ | x to the power of y. (eg: x ^ y) |
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| ^ | x to the power of y. (eg: x ^ y) |
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+----------+---------------------------------------------------------+
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| := | Assign the value of x to y. (eg: y := x) |
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| | Where y is a variable type. |
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| := | Assign the value of x to y. Where y is either a variable|
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| | or vector type. (eg: y := x) |
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+----------+---------------------------------------------------------+
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| += | Increment x to by the value of the expression on the |
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| | right-hand side. Where x is a variable type. |
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| | (eg: x += abs(y - z)) |
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| | right-hand side. Where x is either a variable or vector |
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| | type. (eg: x += abs(y - z)) |
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+----------+---------------------------------------------------------+
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| -= | Decrement x to by the value of the expression on the |
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| | right-hand side. Where x is a variable type. |
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| | (eg: x -= abs(y + z)) |
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| | right-hand side. Where x is either a variable or vector |
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| | type. (eg: x[i] -= abs(y + z)) |
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+----------+---------------------------------------------------------+
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| *= | Assign the multiplication of x by the value of the |
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| | expression on the right-hand side to x. Where x is a |
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| | variable type. |
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| | expression on the righthand side to x. Where x is either|
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| | variable or vector type. |
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| | (eg: x *= abs(y / z)) |
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+----------+---------------------------------------------------------+
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| /= | Assign the division of x by the value of the expression |
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| | on the right-hand side to x. Where x is a variable type.|
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| | (eg: x /= abs(y * z)) |
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| | on the right-hand side to x. Where x is either a |
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| | variable or vector type. (eg: x[i+j] /= abs(y * z)) |
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+----------+---------------------------------------------------------+
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(1) Equalities & Inequalities
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@ -442,7 +442,7 @@ include path (e.g: /usr/include/).
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| | repeat |
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| | y := x + z; |
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| | w := u + y; |
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| | until ((x - 1) <= 0) |
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| | until ((x += 1) > 100) |
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+----------+---------------------------------------------------------+
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| for | The structure will repeatedly evaluate the internal |
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| | statement(s) while the condition is true. On each loop |
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@ -450,7 +450,7 @@ include path (e.g: /usr/include/).
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| | The conditional is mandatory whereas the initializer |
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| | and incrementing expressions are optional. |
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| | eg: |
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| | for (x := 0; x < n && (x != y); x := x + 1) |
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| | for (x := 0; x < n && (x != y); x += 1) |
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| | { |
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| | y := y + x / 2 - z; |
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| | w := u + y; |
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@ -487,7 +487,8 @@ appropriate may represent any of one the following:
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1. Literal numeric/string value
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2. A variable
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3. An expression comprised of [1] or [2] (eg: 2 + x)
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3. A vector element
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3. An expression comprised of [1], [2] or [3] (eg: 2 + x / vec[3])
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@ -511,10 +512,11 @@ types a symbol table can handle:
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(a) Numeric variables
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(b) Numeric constants
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(c) String variables
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(d) String constants
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(e) Functions
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(f) Vararg functions
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(c) Numeric vector elements
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(d) String variables
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(e) String constants
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(f) Functions
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(g) Vararg functions
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During the compilation process if an expression is found to require
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any of the elements noted above, the expression's associated
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@ -638,12 +640,18 @@ properly resolved the original form will cause a compilation error.
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The following is a listing of the scenarios that the joiner can
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handle:
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(a) ':' '=' ---> ':=' (assignment)
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(b) '>' '=' ---> '>=' (gte)
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(c) '<' '=' ---> '<=' (lte)
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(d) '=' '=' ---> '==' (equal)
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(e) '!' '=' ---> '!=' (not-equal)
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(f) '<' '>' ---> '<>' (not-equal)
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(a) '>' '=' ---> '>=' (gte)
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(b) '<' '=' ---> '<=' (lte)
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(c) '=' '=' ---> '==' (equal)
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(d) '!' '=' ---> '!=' (not-equal)
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(e) '<' '>' ---> '<>' (not-equal)
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(f) ':' '=' ---> ':=' (assignment)
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(g) '+' '=' ---> '+=' (addition assignment)
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(h) '-' '=' ---> '-=' (subtraction assignment)
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(i) '*' '=' ---> '*=' (multiplication assignment)
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(j) '/' '=' ---> '/=' (division assignment)
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An example of the transformation that takes place is as follows:
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