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

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Arash Partow
2013-03-25 04:54:44 +11:00
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@ -318,58 +318,58 @@ correctly optimize such expressions for a given architecture.
+-------------+-------------+ +--------------+------------------+
| Prototype | Operation | | Prototype | Operation |
+-------------+-------------+ +--------------+------------------+
$f00(x,y,z) | (x + y) / z $f46(x,y,z,w) | x + ((y + z) / w)
$f01(x,y,z) | (x + y) * z $f47(x,y,z,w) | x + ((y + z) * w)
$f02(x,y,z) | (x + y) - z $f48(x,y,z,w) | x + ((y - z) / w)
$f03(x,y,z) | (x + y) + z $f49(x,y,z,w) | x + ((y - z) * w)
$f04(x,y,z) | (x - y) / z $f50(x,y,z,w) | x + ((y * z) / w)
$f05(x,y,z) | (x - y) * z $f51(x,y,z,w) | x + ((y * z) * w)
$f06(x,y,z) | (x * y) + z $f52(x,y,z,w) | x + ((y / z) + w)
$f07(x,y,z) | (x * y) - z $f53(x,y,z,w) | x + ((y / z) / w)
$f08(x,y,z) | (x * y) / z $f54(x,y,z,w) | x + ((y / z) * w)
$f09(x,y,z) | (x * y) * z $f55(x,y,z,w) | x - ((y + z) / w)
$f10(x,y,z) | (x / y) + z $f56(x,y,z,w) | x - ((y + z) * w)
$f11(x,y,z) | (x / y) - z $f57(x,y,z,w) | x - ((y - z) / w)
$f12(x,y,z) | (x / y) / z $f58(x,y,z,w) | x - ((y - z) * w)
$f13(x,y,z) | (x / y) * z $f59(x,y,z,w) | x - ((y * z) / w)
$f14(x,y,z) | x / (y + z) $f60(x,y,z,w) | x - ((y * z) * w)
$f15(x,y,z) | x / (y - z) $f61(x,y,z,w) | x - ((y / z) / w)
$f16(x,y,z) | x / (y * z) $f62(x,y,z,w) | x - ((y / z) * w)
$f17(x,y,z) | x / (y / z) $f63(x,y,z,w) | ((x + y) * z) - w
$f18(x,y,z) | x * (y + z) $f64(x,y,z,w) | ((x - y) * z) - w
$f19(x,y,z) | x * (y - z) $f65(x,y,z,w) | ((x * y) * z) - w
$f20(x,y,z) | x * (y * z) $f66(x,y,z,w) | ((x / y) * z) - w
$f21(x,y,z) | x * (y / z) $f67(x,y,z,w) | ((x + y) / z) - w
$f22(x,y,z) | x - (y / z) $f68(x,y,z,w) | ((x - y) / z) - w
$f23(x,y,z) | x - (y / z) $f69(x,y,z,w) | ((x * y) / z) - w
$f24(x,y,z) | x - (y * z) $f70(x,y,z,w) | ((x / y) / z) - w
$f25(x,y,z) | x + (y * z) $f71(x,y,z,w) | (x * y) + (z * w)
$f26(x,y,z) | x + (y / z) $f72(x,y,z,w) | (x * y) - (z * w)
$f27(x,y,z) | x + (y + z) $f73(x,y,z,w) | (x * y) + (z / w)
$f28(x,y,z) | x + (y - z) $f74(x,y,z,w) | (x * y) - (z / w)
$f29(x,y,z) | x * y^2 + z $f75(x,y,z,w) | (x / y) + (z / w)
$f30(x,y,z) | x * y^3 + z $f76(x,y,z,w) | (x / y) - (z / w)
$f31(x,y,z) | x * y^4 + z $f77(x,y,z,w) | (x / y) - (z * w)
$f32(x,y,z) | x * y^5 + z $f78(x,y,z,w) | x / (y + (z * w))
$f33(x,y,z) | x * y^6 + z $f79(x,y,z,w) | x / (y - (z * w))
$f34(x,y,z) | x * y^7 + z $f80(x,y,z,w) | x * (y + (z * w))
$f35(x,y,z) | x * y^8 + z $f81(x,y,z,w) | x * (y - (z * w))
$f36(x,y,z) | x * y^9 + z $f82(x,y,z,w) | x * y^2 + z * w^2
$f37(x,y,z) | x * log(y)+z $f83(x,y,z,w) | x * y^3 + z * w^3
$f38(x,y,z) | x * log(y)-z $f84(x,y,z,w) | x * y^4 + z * w^4
$f39(x,y,z) | x * log10(y)+z $f85(x,y,z,w) | x * y^5 + z * w^5
$f40(x,y,z) | x * log10(y)-z $f86(x,y,z,w) | x * y^6 + z * w^6
$f41(x,y,z) | x * sin(y)+z $f87(x,y,z,w) | x * y^7 + z * w^7
$f42(x,y,z) | x * sin(y)-z $f88(x,y,z,w) | x * y^8 + z * w^8
$f43(x,y,z) | x * cos(y)+z $f89(x,y,z,w) | x * y^9 + z * w^9
$f44(x,y,z) | x * cos(y)-z $f90(x,y,z,w) | (x and y) ? z : w
$f45(x,y,z) | x ? y : z $f91(x,y,z,w) | (x or y) ? z : w
$f92(x,y,z,w) | (x < y) ? z : w
$f93(x,y,z,w) | (x <= y) ? z : w
$f94(x,y,z,w) | (x > y) ? z : w
$f95(x,y,z,w) | (x >= y) ? z : w
$f96(x,y,z,w) | (x == y) ? z : w
$f97(x,y,z,w) | x*sin(y) + z*cos(w)
$f00(x,y,z) | (x + y) / z $f47(x,y,z,w) | x + ((y + z) / w)
$f01(x,y,z) | (x + y) * z $f48(x,y,z,w) | x + ((y + z) * w)
$f02(x,y,z) | (x + y) - z $f49(x,y,z,w) | x + ((y - z) / w)
$f03(x,y,z) | (x + y) + z $f50(x,y,z,w) | x + ((y - z) * w)
$f04(x,y,z) | (x - y) / z $f51(x,y,z,w) | x + ((y * z) / w)
$f05(x,y,z) | (x - y) * z $f52(x,y,z,w) | x + ((y * z) * w)
$f06(x,y,z) | (x * y) + z $f53(x,y,z,w) | x + ((y / z) + w)
$f07(x,y,z) | (x * y) - z $f54(x,y,z,w) | x + ((y / z) / w)
$f08(x,y,z) | (x * y) / z $f55(x,y,z,w) | x + ((y / z) * w)
$f09(x,y,z) | (x * y) * z $f56(x,y,z,w) | x - ((y + z) / w)
$f10(x,y,z) | (x / y) + z $f57(x,y,z,w) | x - ((y + z) * w)
$f11(x,y,z) | (x / y) - z $f58(x,y,z,w) | x - ((y - z) / w)
$f12(x,y,z) | (x / y) / z $f59(x,y,z,w) | x - ((y - z) * w)
$f13(x,y,z) | (x / y) * z $f60(x,y,z,w) | x - ((y * z) / w)
$f14(x,y,z) | x / (y + z) $f61(x,y,z,w) | x - ((y * z) * w)
$f15(x,y,z) | x / (y - z) $f62(x,y,z,w) | x - ((y / z) / w)
$f16(x,y,z) | x / (y * z) $f63(x,y,z,w) | x - ((y / z) * w)
$f17(x,y,z) | x / (y / z) $f64(x,y,z,w) | ((x + y) * z) - w
$f18(x,y,z) | x * (y + z) $f65(x,y,z,w) | ((x - y) * z) - w
$f19(x,y,z) | x * (y - z) $f66(x,y,z,w) | ((x * y) * z) - w
$f20(x,y,z) | x * (y * z) $f67(x,y,z,w) | ((x / y) * z) - w
$f21(x,y,z) | x * (y / z) $f68(x,y,z,w) | ((x + y) / z) - w
$f22(x,y,z) | x - (y + z) $f69(x,y,z,w) | ((x - y) / z) - w
$f23(x,y,z) | x - (y - z) $f70(x,y,z,w) | ((x * y) / z) - w
$f24(x,y,z) | x - (y / z) $f71(x,y,z,w) | ((x / y) / z) - w
$f25(x,y,z) | x - (y * z) $f72(x,y,z,w) | (x * y) + (z * w)
$f26(x,y,z) | x + (y * z) $f73(x,y,z,w) | (x * y) - (z * w)
$f27(x,y,z) | x + (y / z) $f74(x,y,z,w) | (x * y) + (z / w)
$f28(x,y,z) | x + (y + z) $f75(x,y,z,w) | (x * y) - (z / w)
$f29(x,y,z) | x + (y - z) $f76(x,y,z,w) | (x / y) + (z / w)
$f30(x,y,z) | x * y^2 + z $f77(x,y,z,w) | (x / y) - (z / w)
$f31(x,y,z) | x * y^3 + z $f78(x,y,z,w) | (x / y) - (z * w)
$f32(x,y,z) | x * y^4 + z $f79(x,y,z,w) | x / (y + (z * w))
$f33(x,y,z) | x * y^5 + z $f80(x,y,z,w) | x / (y - (z * w))
$f34(x,y,z) | x * y^6 + z $f81(x,y,z,w) | x * (y + (z * w))
$f35(x,y,z) | x * y^7 + z $f82(x,y,z,w) | x * (y - (z * w))
$f36(x,y,z) | x * y^8 + z $f83(x,y,z,w) | x*y^2 + z*w^2
$f37(x,y,z) | x * y^9 + z $f84(x,y,z,w) | x*y^3 + z*w^3
$f38(x,y,z) | x * log(y)+z $f85(x,y,z,w) | x*y^4 + z*w^4
$f39(x,y,z) | x * log(y)-z $f86(x,y,z,w) | x*y^5 + z*w^5
$f40(x,y,z) | x * log10(y)+z $f87(x,y,z,w) | x*y^6 + z*w^6
$f41(x,y,z) | x * log10(y)-z $f88(x,y,z,w) | x*y^7 + z*w^7
$f42(x,y,z) | x * sin(y)+z $f89(x,y,z,w) | x*y^8 + z*w^8
$f43(x,y,z) | x * sin(y)-z $f90(x,y,z,w) | x*y^9 + z*w^9
$f44(x,y,z) | x * cos(y)+z $f91(x,y,z,w) | (x and y) ? z
$f45(x,y,z) | x * cos(y)-z $f92(x,y,z,w) | (x or y) ? z : w
$f46(x,y,z) | x ? y : z $f93(x,y,z,w) | (x < y) ? z : w
$f94(x,y,z,w) | (x <= y) ? z : w
$f95(x,y,z,w) | (x > y) ? z : w
$f96(x,y,z,w) | (x >= y) ? z : w
$f97(x,y,z,w) | (x == y) ? z : w
$f98(x,y,z,w) | x * sin(y) + z * cos(w)
@ -406,11 +406,21 @@ correctly optimize such expressions for a given architecture.
(10) User defined functions can have up to 20 parameters.
(11) Polynomial functions can be at most of degree 10.
(11) The inbuilt polynomial functions can be at most of degree 10.
(12) Where appropriate constant folding optimisations will be
applied. (eg: The expression '2+(3-(x/y))' becomes '5-(x/y)')
(13) String processing capabilities are available by default.
To turn them off, the following needs to be defined at
compile time: exprtk_disable_string_capabilities
(14) Expressions may contain trailing comments that must be prefixed
with '//' and are terminated by the next occurrence of new-line
or line-break. To disallow comments, the following needs to be
defined at compile time: exprtk_disable_comments
(eg: '2+(3-(x/y)) // This is an expression')
[SIMPLE EXPRTK EXAMPLE]