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

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Arash Partow
2014-01-22 08:13:37 +11:00
parent e3d51a3222
commit e98df89433
3 changed files with 655 additions and 344 deletions
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224
exprtk.hpp
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@ -14306,7 +14306,16 @@ namespace exprtk
binary_functor_t f1 = reinterpret_cast<binary_functor_t>(0);
details::free_node(*(expr_gen.node_allocator_),branch[0]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<vtype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,v1,v2,result))
// (v0 / v1) / v2 --> (vovov) v0 / (v1 * v2)
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<vtype,vtype,vtype>(expr_gen,"t/(t*t)",v0,v1,v2,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<vtype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,v1,v2,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -14342,7 +14351,16 @@ namespace exprtk
binary_functor_t f1 = reinterpret_cast<binary_functor_t>(0);
details::free_node(*(expr_gen.node_allocator_),branch[1]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<vtype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,v1,v2,result))
// v0 / (v1 / v2) --> (vovov) (v0 * v2) / v1
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<vtype,vtype,vtype>(expr_gen,"(t*t)/t",v0,v2,v1,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<vtype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,v1,v2,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -14379,7 +14397,16 @@ namespace exprtk
details::free_node(*(expr_gen.node_allocator_),branch[0]);
details::free_node(*(expr_gen.node_allocator_),branch[1]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<vtype,vtype,ctype>(expr_gen,id(expr_gen,o0,o1),v0,v1,c,result))
// (v0 / v1) / c --> (vovoc) v0 / (v1 * c)
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<vtype,vtype,ctype>(expr_gen,"t/(t*t)",v0,v1,c,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<vtype,vtype,ctype>(expr_gen,id(expr_gen,o0,o1),v0,v1,c,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -14415,7 +14442,16 @@ namespace exprtk
binary_functor_t f1 = reinterpret_cast<binary_functor_t>(0);
details::free_node(*(expr_gen.node_allocator_),branch[1]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<vtype,vtype,ctype>(expr_gen,id(expr_gen,o0,o1),v0,v1,c,result))
// v0 / (v1 / c) --> (vocov) (v0 * c) / v1
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<vtype,ctype,vtype>(expr_gen,"(t*t)/t",v0,c,v1,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<vtype,vtype,ctype>(expr_gen,id(expr_gen,o0,o1),v0,v1,c,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -14451,7 +14487,16 @@ namespace exprtk
binary_functor_t f1 = reinterpret_cast<binary_functor_t>(0);
details::free_node(*(expr_gen.node_allocator_),branch[0]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<vtype,ctype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,c,v1,result))
// (v0 / c) / v1 --> (vovoc) v0 / (v1 * c)
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<vtype,vtype,ctype>(expr_gen,"t/(t*t)",v0,v1,c,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<vtype,ctype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,c,v1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -14487,7 +14532,16 @@ namespace exprtk
binary_functor_t f1 = reinterpret_cast<binary_functor_t>(0);
details::free_node(*(expr_gen.node_allocator_),branch[1]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<vtype,ctype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,c,v1,result))
// v0 / (c / v1) --> (vovoc) (v0 * v1) / c
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<vtype,vtype,ctype>(expr_gen,"(t*t)/t",v0,v1,c,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<vtype,ctype,vtype>(expr_gen,id(expr_gen,o0,o1),v0,c,v1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -14523,7 +14577,16 @@ namespace exprtk
binary_functor_t f1 = reinterpret_cast<binary_functor_t>(0);
details::free_node(*(expr_gen.node_allocator_),branch[0]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<ctype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),c,v0,v1,result))
// (c / v0) / v1 --> (covov) c / (v0 * v1)
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t/(t*t)",c,v0,v1,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<ctype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),c,v0,v1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -14560,7 +14623,16 @@ namespace exprtk
details::free_node(*(expr_gen.node_allocator_),branch[0]);
details::free_node(*(expr_gen.node_allocator_),branch[1]);
expression_node_ptr result = error_node();
if (synthesize_sf3ext_expression::template compile<ctype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),c,v0,v1,result))
// c / (v0 / v1) --> (covov) (c * v1) / v0
if ((details::e_div == o0) && (details::e_div == o1))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",c,v1,v0,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf3ext_expression::template compile<ctype,vtype,vtype>(expr_gen,id(expr_gen,o0,o1),c,v0,v1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
return error_node();
@ -15235,6 +15307,38 @@ namespace exprtk
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",(c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 * v0) / (c1 * v1) --> (covov) (c0 / c1) * (v0 / v1)
else if ((details::e_mul == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 / v0) * (c1 / v1) --> (covov) (c0 * c1) / (v0 * v1)
else if ((details::e_div == o0) && (details::e_mul == o1) && (details::e_div == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t/(t*t)",(c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 * v0) / (c1 / v1) --> (covov) (c0 / c1) * (v0 * v1)
else if ((details::e_mul == o0) && (details::e_div == o1) && (details::e_div == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t*(t*t)",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 / v0) / (c1 * v1) --> (covov) (c0 / c1) / (v0 * v1)
else if ((details::e_div == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t/(t*t)",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),c0,v0,c1,v1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
@ -15307,7 +15411,7 @@ namespace exprtk
template compile<ctype,vtype,vtype>(expr_gen,"(t+t)-t",(c1 - c0),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 * v0) * (c1 * v1) --> (covov) (c0 * c1) * v0 * v1
// (v0 * c0) * (v1 * c1) --> (covov) (c0 * c1) * v0 * v1
else if ((details::e_mul == o0) && (details::e_mul == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
@ -15315,6 +15419,38 @@ namespace exprtk
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",(c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 * c0) / (v1 * c1) --> (covov) (c0 / c1) * (v0 / v1)
else if ((details::e_mul == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 / c0) * (v1 / c1) --> (covov) (1 / (c0 * c1)) * v0 * v1
else if ((details::e_div == o0) && (details::e_mul == o1) && (details::e_div == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",Type(1) / (c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 * c0) / (v1 / c1) --> (covov) (c0 * c1) * (v0 / v1)
else if ((details::e_mul == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t*(t/t)",(c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 / c0) / (v1 * c1) --> (covov) (1 / (c0 * c1)) * v0 / v1
else if ((details::e_div == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t*(t/t)",Type(1) / (c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),v0,c0,v1,c1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
@ -15387,7 +15523,7 @@ namespace exprtk
template compile<ctype,vtype,vtype>(expr_gen,"t-(t+t)",(c0 + c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 * v0) * (c1 * v1) --> (covov) (c0 * c1) * v0 * v1
// (c0 * v0) * (v1 * c1) --> (covov) (c0 * c1) * v0 * v1
else if ((details::e_mul == o0) && (details::e_mul == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
@ -15395,6 +15531,38 @@ namespace exprtk
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",(c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 * v0) / (v1 * c1) --> (covov) (c0 / c1) * (v0 / v1)
else if ((details::e_mul == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 / v0) * (v1 / c1) --> (covov) (c0 / c1) * (v1 / v0)
else if ((details::e_div == o0) && (details::e_mul == o1) && (details::e_div == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t*(t/t)",(c0 / c1),v1,v0,result);
return (synthesis_result) ? result : error_node();
}
// (c0 * v0) / (v1 / c1) --> (covov) (c0 * c1) * (v0 / v1)
else if ((details::e_mul == o0) && (details::e_div == o1) && (details::e_div == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",(c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (c0 / v0) / (v1 * c1) --> (covov) (c0 / c1) / (v0 * v1)
else if ((details::e_div == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"t/(t*t)",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),c0,v0,v1,c1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
@ -15467,7 +15635,7 @@ namespace exprtk
template compile<vtype,vtype,ctype>(expr_gen,"(t+t)-t",v0,v1,(c1 + c0),result);
return (synthesis_result) ? result : error_node();
}
// (c0 * v0) * (c1 * v1) --> (covov) (c0 * c1) * v0 * v1
// (v0 * c0) * (c1 * v1) --> (covov) (c0 * c1) * v0 * v1
else if ((details::e_mul == o0) && (details::e_mul == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
@ -15475,6 +15643,38 @@ namespace exprtk
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",(c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 * c0) / (c1 * v1) --> (covov) (c0 / c1) * (v0 * v1)
else if ((details::e_mul == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 / c0) * (c1 / v1) --> (covov) (c1 / c0) * (v0 / v1)
else if ((details::e_div == o0) && (details::e_mul == o1) && (details::e_div == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",(c1 / c0),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 * c0) / (c1 / v1) --> (covov) (c0 / c1) * (v0 * v1)
else if ((details::e_mul == o0) && (details::e_mul == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",(c0 / c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
// (v0 / c0) / (c1 * v1) --> (covov) (1 / (c0 * c1)) * (v0 / v1)
else if ((details::e_div == o0) && (details::e_div == o1) && (details::e_mul == o2))
{
const bool synthesis_result =
synthesize_sf3ext_expression::
template compile<ctype,vtype,vtype>(expr_gen,"(t*t)/t",Type(1) / (c0 * c1),v0,v1,result);
return (synthesis_result) ? result : error_node();
}
else if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),v0,c0,c1,v1,result))
return result;
else if (!expr_gen.valid_operator(o0,f0))
@ -18005,7 +18205,7 @@ namespace exprtk
const Type c1, const Type c0)
{
// p(x) = c_11x^11 + c_10x^10 + c_9x^9 + c_8x^8 + c_7x^7 + c_6x^6 + c_5x^5 + c_4x^4 + c_3x^3 + c_2x^2 + c_1x^1 + c_0x^0
return ((((((((((( c11 * x + c10) * x + c9) * x + c8) * x + c7) * x + c6) * x + c5) * x + c4) * x + c3) * x + c2) * x + c1) * x + c0);
return (((((((((((c11 * x + c10) * x + c9) * x + c8) * x + c7) * x + c6) * x + c5) * x + c4) * x + c3) * x + c2) * x + c1) * x + c0);
}
};