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C++ Mathematical Expression Library (ExprTk) http://www.partow.net/programming/exprtk/index.html

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Arash Partow
2012-05-12 08:18:14 +10:00
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@ -30,7 +30,7 @@ operations, functions and processes:
(6) Conditional &
Loop statement: if-then-else, while
(7) Assigment: :=, <-
(7) Assigment: :=
[EXAMPLE EXPRESSIONS]
@ -93,6 +93,56 @@ Expression Library can be found at:
(*) Comeau C++ Compiler (4.3+)
[SPECIAL FUNCTIONS]
The purpose of special functions in ExprTk is to provide compiler
generated equivalents of common mathematical expressions which can be
invoked by using the 'special function' syntax (eg: $f12(x,y,z) or
$f24(x,y,z,w)).
Special functions dramatically decrease the total evaluation time of
expressions which would otherwise have been written using the common
form by reducing the total number of nodes in the evaluation tree of
an expression and by also leveraging the compiler's ability to
correctly optimize such expressions for a given architecture.
3-Parameter 4-Parameter
| Prototype | Operation | | Prototype | Operation |
+------------+-------------+ +--------------+------------------+
sf00(x,y,z) | (x + y) / z sf26(x,y,z,w) | w + ((x + y) / z)
sf01(x,y,z) | (x + y) * z sf27(x,y,z,w) | w + ((x + y) * z)
sf02(x,y,z) | (x - y) / z sf28(x,y,z,w) | w + ((x - y) / z)
sf03(x,y,z) | (x - y) * z sf29(x,y,z,w) | w + ((x - y) * z)
sf04(x,y,z) | (x * y) + z sf30(x,y,z,w) | w + ((x * y) / z)
sf05(x,y,z) | (x * y) - z sf31(x,y,z,w) | w + ((x * y) * z)
sf06(x,y,z) | (x * y) / z sf32(x,y,z,w) | w + ((x / y) + z)
sf07(x,y,z) | (x * y) * z sf33(x,y,z,w) | w + ((x / y) / z)
sf08(x,y,z) | (x / y) + z sf34(x,y,z,w) | w + ((x / y) * z)
sf09(x,y,z) | (x / y) - z sf35(x,y,z,w) | w - ((x + y) / z)
sf10(x,y,z) | (x / y) / z sf36(x,y,z,w) | w - ((x + y) * z)
sf11(x,y,z) | (x / y) * z sf37(x,y,z,w) | w - ((x - y) / z)
sf12(x,y,z) | z / (x + y) sf38(x,y,z,w) | w - ((x - y) * z)
sf13(x,y,z) | z / (x - y) sf39(x,y,z,w) | w - ((x * y) / z)
sf14(x,y,z) | z / (x * y) sf40(x,y,z,w) | w - ((x * y) * z)
sf15(x,y,z) | z / (x / y) sf41(x,y,z,w) | w - ((x / y) / z)
sf16(x,y,z) | z - (x / y) sf42(x,y,z,w) | w - ((x / y) * z)
sf17(x,y,z) | z - (x / y) sf43(x,y,z,w) | ((x + y) * z) - w
sf18(x,y,z) | x * y^2 + z sf44(x,y,z,w) | ((x - y) * z) - w
sf19(x,y,z) | x * y^3 + z sf45(x,y,z,w) | ((x * y) * z) - w
sf20(x,y,z) | x * y^4 + z sf46(x,y,z,w) | ((x / y) * z) - w
sf21(x,y,z) | x * y^5 + z sf47(x,y,z,w) | ((x + y) / z) - w
sf22(x,y,z) | x * y^6 + z sf48(x,y,z,w) | ((x - y) / z) - w
sf23(x,y,z) | x * y^7 + z sf49(x,y,z,w) | ((x * y) / z) - w
sf24(x,y,z) | x * y^8 + z sf50(x,y,z,w) | ((x / y) / z) - w
sf25(x,y,z) | x * y^9 + z sf51(x,y,z,w) | x * y^2 + z * w^2
sf52(x,y,z,w) | x * y^3 + z * w^3
sf53(x,y,z,w) | x * y^4 + z * w^4
sf54(x,y,z,w) | x * y^5 + z * w^5
sf55(x,y,z,w) | x * y^6 + z * w^6
sf56(x,y,z,w) | x * y^7 + z * w^7
sf57(x,y,z,w) | x * y^8 + z * w^8
sf58(x,y,z,w) | x * y^9 + z * w^9
[MACROS]
ExprTk utilizes certain macros to modify the underlying behaviour of
the parser and the evaluation engine. The following macros are used to