C++ Mathematical Expression Library (ExprTk) http://www.partow.net/programming/exprtk/index.html
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Arash Partow
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259a23f068
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exprtk.hpp
84
exprtk.hpp
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@ -284,12 +284,12 @@ namespace exprtk
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"abs", "acos", "acosh", "and", "asin", "asinh", "atan", "atanh", "atan2",
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"avg", "case", "ceil", "clamp", "cos", "cosh", "cot", "csc", "default",
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"deg2grad", "deg2rad", "equal", "erf", "erfc", "exp", "expm1", "false",
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"floor", "for", "frac", "grad2deg", "hypot", "if", "ilike", "in", "inrange",
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"like", "log", "log10", "log2", "logn", "log1p", "mand", "max", "min", "mod",
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"mor", "mul", "nand", "nor", "not", "not_equal", "null", "or", "pow", "rad2deg",
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"repeat", "root", "round", "roundn", "sec", "sgn", "shl", "shr", "sin", "sinh",
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"sqrt", "sum", "switch", "tan", "tanh", "true", "trunc", "until", "while",
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"xnor", "xor", "&", "|"
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"floor", "for", "frac", "grad2deg", "hypot", "iclamp", "if", "ilike", "in",
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"inrange", "like", "log", "log10", "log2", "logn", "log1p", "mand", "max",
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"min", "mod", "mor", "mul", "nand", "nor", "not", "not_equal", "null", "or",
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"pow", "rad2deg", "repeat", "root", "round", "roundn", "sec", "sgn", "shl",
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"shr", "sin", "sinh", "sqrt", "sum", "switch", "tan", "tanh", "true", "trunc",
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"until", "while", "xnor", "xor", "&", "|"
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};
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static const std::size_t reserved_symbols_size = sizeof(reserved_symbols) / sizeof(std::string);
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@ -3020,11 +3020,11 @@ namespace exprtk
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e_neg , e_pos , e_round , e_roundn ,
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e_root , e_sqrt , e_sin , e_sinh ,
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e_sec , e_csc , e_tan , e_tanh ,
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e_cot , e_clamp , e_inrange , e_sgn ,
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e_r2d , e_d2r , e_d2g , e_g2d ,
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e_hypot , e_notl , e_erf , e_erfc ,
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e_frac , e_trunc , e_assign , e_in ,
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e_like , e_ilike , e_multi ,
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e_cot , e_clamp , e_iclamp , e_inrange ,
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e_sgn , e_r2d , e_d2r , e_d2g ,
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e_g2d , e_hypot , e_notl , e_erf ,
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e_erfc , e_frac , e_trunc , e_assign ,
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e_in , e_like , e_ilike , e_multi ,
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// Do not add new functions/operators after this point.
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e_sf00 = 1000, e_sf01 = 1001, e_sf02 = 1002, e_sf03 = 1003,
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@ -3791,10 +3791,14 @@ namespace exprtk
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const T arg2 = branch_[2].first->value();
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switch (operation_)
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{
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case e_clamp : return (arg1 < arg0) ? arg0 : (arg1 > arg2 ? arg2 : arg1);
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case e_inrange : return (arg1 < arg0) ? T(0) : ((arg1 > arg2) ? T(0) : T(1));
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case e_min : return std::min<T>(std::min<T>(arg0,arg1),arg2);
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case e_max : return std::max<T>(std::max<T>(arg0,arg1),arg2);
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case e_clamp : return (arg1 < arg0) ? arg0 : (arg1 > arg2 ? arg2 : arg1);
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case e_iclamp : if ((arg1 <= arg0) || (arg1 >= arg2))
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return arg1;
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else
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return ((T(2.0) * arg1 <= (arg2 + arg0)) ? arg0 : arg2);
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default : return std::numeric_limits<T>::quiet_NaN();
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}
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}
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@ -8530,6 +8534,7 @@ namespace exprtk
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register_op( "shr",e_shr , 2)
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register_op( "shl",e_shl , 2)
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register_op( "clamp",e_clamp , 3)
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register_op( "iclamp",e_iclamp , 3)
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register_op( "inrange",e_inrange , 3)
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#undef register_op
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}
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@ -15195,7 +15200,32 @@ namespace exprtk
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details::free_node(*(expr_gen.node_allocator_),branch[0]);
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details::free_node(*(expr_gen.node_allocator_),branch[1]);
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expression_node_ptr result = error_node();
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if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),c0,v0,c1,v1,result))
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// (c0 + v0) + (c1 + v1) --> (covov) (c0 + c1) + v0 + v1
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if ((details::e_add == o0) && (details::e_add == o1) && (details::e_add == o2))
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{
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const bool synthesis_result =
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synthesize_sf3ext_expression::
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template compile<ctype,vtype,vtype>(expr_gen,"(t+t)+t",(c0 + c1),v0,v1,result);
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return (synthesis_result) ? result : error_node();
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}
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// (c0 + v0) - (c1 + v1) --> (covov) (c0 - c1) + v0 - v1
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if ((details::e_add == o0) && (details::e_sub == o1) && (details::e_add == o2))
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{
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const bool synthesis_result =
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synthesize_sf3ext_expression::
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template compile<ctype,vtype,vtype>(expr_gen,"(t+t)-t",(c0 - c1),v0,v1,result);
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return (synthesis_result) ? result : error_node();
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}
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// (c0 * v0) * (c1 * v1) --> (covov) (c0 * c1) * v0 * v1
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else if ((details::e_mul == o0) && (details::e_mul == o1) && (details::e_mul == o2))
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{
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const bool synthesis_result =
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synthesize_sf3ext_expression::
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template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",(c0 * c1),v0,v1,result);
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return (synthesis_result) ? result : error_node();
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}
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else if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),c0,v0,c1,v1,result))
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return result;
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else if (!expr_gen.valid_operator(o0,f0))
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return error_node();
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@ -15242,7 +15272,32 @@ namespace exprtk
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details::free_node(*(expr_gen.node_allocator_),branch[0]);
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details::free_node(*(expr_gen.node_allocator_),branch[1]);
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expression_node_ptr result = error_node();
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if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),v0,c0,v1,c1,result))
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// (v0 + c0) + (v1 + c1) --> (covov) (c0 + c1) + v0 + v1
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if ((details::e_add == o0) && (details::e_add == o1) && (details::e_add == o2))
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{
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const bool synthesis_result =
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synthesize_sf3ext_expression::
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template compile<ctype,vtype,vtype>(expr_gen,"(t+t)+t",(c0 + c1),v0,v1,result);
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return (synthesis_result) ? result : error_node();
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}
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// (v0 + c0) - (v1 + c1) --> (covov) (c0 - c1) + v0 - v1
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if ((details::e_add == o0) && (details::e_sub == o1) && (details::e_add == o2))
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{
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const bool synthesis_result =
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synthesize_sf3ext_expression::
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template compile<ctype,vtype,vtype>(expr_gen,"(t+t)-t",(c0 - c1),v0,v1,result);
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return (synthesis_result) ? result : error_node();
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}
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// (c0 * v0) * (c1 * v1) --> (covov) (c0 * c1) * v0 * v1
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else if ((details::e_mul == o0) && (details::e_mul == o1) && (details::e_mul == o2))
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{
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const bool synthesis_result =
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synthesize_sf3ext_expression::
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template compile<ctype,vtype,vtype>(expr_gen,"(t*t)*t",(c0 * c1),v0,v1,result);
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return (synthesis_result) ? result : error_node();
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}
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else if (synthesize_sf4ext_expression::template compile<T0,T1,T2,T3>(expr_gen,id(expr_gen,o0,o1,o2),v0,c0,v1,c1,result))
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return result;
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else if (!expr_gen.valid_operator(o0,f0))
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return error_node();
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@ -18795,6 +18850,7 @@ namespace exprtk
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"(x^2 / sin(2 * pi / y)) -x / 2",
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"x + (cos(y - sin(2 / x * pi)) - sin(x - cos(2 * y / pi))) - y",
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"clamp(-1.0, sin(2 * pi * x) + cos(y / 2 * pi), +1.0)",
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"iclamp(-1.0, sin(2 * pi * x) + cos(y / 2 * pi), +1.0)",
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"max(3.33, min(sqrt(1 - sin(2 * x) + cos(pi / y) / 3), 1.11))",
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"if(avg(x,y) <= x + y, x - y, x * y) + 2 * pi / x",
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"1.1x^1 + 2.2y^2 - 3.3x^3 + 4.4y^4 - 5.5x^5 + 6.6y^6 - 7.7x^27 + 8.8y^55",
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@ -226,6 +226,10 @@ include path (e.g: /usr/include/).
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+----------+---------------------------------------------------------+
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| hypot | Hypotenuse of x and y (eg: hypot(x,y) = sqrt(x*x + y*y))|
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+----------+---------------------------------------------------------+
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| iclamp | Inverse-clamp x outside of the range r0 and r1. Where |
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| | r0 < r1. If x is within the range it will snap to the |
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| | closest bound. (eg: iclamp(r0,x,r1) |
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+----------+---------------------------------------------------------+
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| log | Natural logarithm of x. |
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+----------+---------------------------------------------------------+
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| log10 | Base 10 logarithm of x. |
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