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

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Arash Partow
2012-05-20 08:30:38 +10:00
parent 26f17458a4
commit 1b4e3d7cc2
3 changed files with 697 additions and 199 deletions
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readme.txt
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@ -4,7 +4,7 @@ C++ Mathematical Expression Toolkit Library
The C++ Mathematical Expression Library (ExprTk) is a simple to use,
easy to integrate and extremely efficient mathematical expression
parsing and evaluation engine. The parsing engine supports various
kinds of functional, logic processing semantics and is very easily
kinds of functional and logic processing semantics and is very easily
extendible.
@ -48,7 +48,7 @@ expressions that can be parsed and evaluated using the ExprTk library.
(06) ({1/1}*[1/2]+(1/3))-{1/4}^[1/5]+(1/6)-({1/7}+[1/8]*(1/9))
(07) a * exp(2 * t) + c
(08) z := x + sin(2 * pi / y)
(09) u <- 2 * (pi * z) / (w := x + cos(y / pi))
(09) u := 2 * (pi * z) / (w := x + cos(y / pi))
(10) 2x + 3y + 4z + 5w == 2 * x + 3 * y + 4 * z + 5 * w
(11) 3(x + y) / 2 + 1 == 3 * (x + y) / 2 + 1
(12) (x + y)3 + 1 / 4 == (x + y) * 3 + 1 / 4
@ -115,41 +115,54 @@ 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
+------------+-------------+ +--------------+------------------+
| Prototype | Operation | | Prototype | Operation |
+------------+-------------+ +--------------+------------------+
sf00(x,y,z) | (x + y) / z sf35(x,y,z,w) | x + ((y + z) / w)
sf01(x,y,z) | (x + y) * z sf36(x,y,z,w) | x + ((y + z) * w)
sf02(x,y,z) | (x - y) / z sf37(x,y,z,w) | x + ((y - z) / w)
sf03(x,y,z) | (x - y) * z sf38(x,y,z,w) | x + ((y - z) * w)
sf04(x,y,z) | (x * y) + z sf39(x,y,z,w) | x + ((y * z) / w)
sf05(x,y,z) | (x * y) - z sf40(x,y,z,w) | x + ((y * z) * w)
sf06(x,y,z) | (x * y) / z sf41(x,y,z,w) | x + ((y / z) + w)
sf07(x,y,z) | (x * y) * z sf42(x,y,z,w) | x + ((y / z) / w)
sf08(x,y,z) | (x / y) + z sf43(x,y,z,w) | x + ((y / z) * w)
sf09(x,y,z) | (x / y) - z sf44(x,y,z,w) | x - ((y + z) / w)
sf10(x,y,z) | (x / y) / z sf45(x,y,z,w) | x - ((y + z) * w)
sf11(x,y,z) | (x / y) * z sf46(x,y,z,w) | x - ((y - z) / w)
sf12(x,y,z) | x / (y + z) sf47(x,y,z,w) | x - ((y - z) * w)
sf13(x,y,z) | x / (y - z) sf48(x,y,z,w) | x - ((y * z) / w)
sf14(x,y,z) | x / (y * z) sf49(x,y,z,w) | x - ((y * z) * w)
sf15(x,y,z) | x / (y / z) sf50(x,y,z,w) | x - ((y / z) / w)
sf16(x,y,z) | x - (y / z) sf51(x,y,z,w) | x - ((y / z) * w)
sf17(x,y,z) | x - (y / z) sf52(x,y,z,w) | ((x + y) * z) - w
sf18(x,y,z) | x * y^2 + z sf53(x,y,z,w) | ((x - y) * z) - w
sf19(x,y,z) | x * y^3 + z sf54(x,y,z,w) | ((x * y) * z) - w
sf20(x,y,z) | x * y^4 + z sf55(x,y,z,w) | ((x / y) * z) - w
sf21(x,y,z) | x * y^5 + z sf56(x,y,z,w) | ((x + y) / z) - w
sf22(x,y,z) | x * y^6 + z sf57(x,y,z,w) | ((x - y) / z) - w
sf23(x,y,z) | x * y^7 + z sf58(x,y,z,w) | ((x * y) / z) - w
sf24(x,y,z) | x * y^8 + z sf59(x,y,z,w) | ((x / y) / z) - w
sf25(x,y,z) | x * y^9 + z sf60(x,y,z,w) | (x * y) + (z * w)
sf26(x,y,z) | x * log(y)+z sf61(x,y,z,w) | (x * y) - (z * w)
sf27(x,y,z) | x * log(y)-z sf62(x,y,z,w) | (x / y) + (z / w)
sf28(x,y,z) | x * log10(y)+z sf63(x,y,z,w) | (x / y) - (z / w)
sf29(x,y,z) | x * log10(y)-z sf64(x,y,z,w) | x * y^2 + z * w^2
sf30(x,y,z) | x * sin(y)+z sf65(x,y,z,w) | x * y^3 + z * w^3
sf31(x,y,z) | x * sin(y)-z sf66(x,y,z,w) | x * y^4 + z * w^4
sf32(x,y,z) | x * cos(y)+z sf67(x,y,z,w) | x * y^5 + z * w^5
sf33(x,y,z) | x * cos(y)-z sf68(x,y,z,w) | x * y^6 + z * w^6
sf34(x,y,z) | x ? y : z sf69(x,y,z,w) | x * y^7 + z * w^7
sf70(x,y,z,w) | x * y^8 + z * w^8
sf71(x,y,z,w) | x * y^9 + z * w^9
sf72(x,y,z,w) | (x and y) ? z : w
sf73(x,y,z,w) | (x or y) ? z : w
sf74(x,y,z,w) | (x < y) ? z : w
sf75(x,y,z,w) | (x <= y) ? z : w
sf76(x,y,z,w) | (x > y) ? z : w
sf77(x,y,z,w) | (x >= y) ? z : w
sf78(x,y,z,w) | (x == y) ? z : w
sf79(x,y,z,w) | x*sin(y) + z*cos(w)
@ -164,6 +177,8 @@ and the ability to evaluate strings within expressions.
(2) exprtk_disable_cardinal_pow_optimisation
(3) exprtk_disable_extended_optimisations
(4) exprtk_disable_extended_operator_optimizations
(5) exprtk_lean_and_mean
(6) exprtk_lean_and_mean_numeric_only
(1) "exprtk_disable_string_capabilities"
If defined, the macro will disable all string processing capabilities.