/* ************************************************************** * C++ Mathematical Expression Toolkit Library * * * * Examples and Unit-Tests * * Author: Arash Partow (1999-2014) * * URL: http://www.partow.net/programming/exprtk/index.html * * * * Copyright notice: * * Free use of the Mathematical Expression Toolkit Library is * * permitted under the guidelines and in accordance with the * * most current version of the Common Public License. * * http://www.opensource.org/licenses/cpl1.0.php * * * ************************************************************** */ #include #include #include #include #include #include #include #include #include "exprtk.hpp" typedef double numeric_type; typedef std::pair test_t; static const test_t test_list[] = { // Note: Each of following tests should compile down // to a single literal node. test_t("0",0.0), test_t("1",1.0), test_t("2",2.0), test_t("3",3.0), test_t("4",4.0), test_t("5",5.0), test_t("6",6.0), test_t("7",7.0), test_t("8",8.0), test_t("9",9.0), test_t("12.12",12.12), test_t("123.123",123.123), test_t("1234.1234",1234.1234), test_t("12345.12345",12345.12345), test_t("123456.123456",123456.123456), test_t("0.0",0.0), test_t("1.0",1.0), test_t("2.0",2.0), test_t("3.0",3.0), test_t("4.0",4.0), test_t("5.0",5.0), test_t("6.0",6.0), test_t("7.0",7.0), test_t("8.0",8.0), test_t("9.0",9.0), test_t("0.0",0.0), test_t("1.1",1.1), test_t("2.2",2.2), test_t("3.3",3.3), test_t("4.4",4.4), test_t("5.5",5.5), test_t("6.6",6.6), test_t("7.7",7.7), test_t("8.8",8.8), test_t("9.9",9.9), test_t("+0",0.0), test_t("+1",1.0), test_t("+2",2.0), test_t("+3",3.0), test_t("+4",4.0), test_t("+5",5.0), test_t("+6",6.0), test_t("+7",7.0), test_t("+8",8.0), test_t("+9",9.0), test_t("+0.0",0.0), test_t("+1.0",1.0), test_t("+2.0",2.0), test_t("+3.0",3.0), test_t("+4.0",4.0), test_t("+5.0",5.0), test_t("+6.0",6.0), test_t("+7.0",7.0), test_t("+8.0",8.0), test_t("+9.0",9.0), test_t("+0.0",0.0), test_t("+1.1",1.1), test_t("+2.2",2.2), test_t("+3.3",3.3), test_t("+4.4",4.4), test_t("+5.5",5.5), test_t("+6.6",6.6), test_t("+7.7",7.7), test_t("+8.8",8.8), test_t("+9.9",9.9), test_t("-0",-0.0), test_t("-1",-1.0), test_t("-2",-2.0), test_t("-3",-3.0), test_t("-4",-4.0), test_t("-5",-5.0), test_t("-6",-6.0), test_t("-7",-7.0), test_t("-8",-8.0), test_t("-9",-9.0), test_t("-0.0",-0.0), test_t("-1.0",-1.0), test_t("-2.0",-2.0), test_t("-3.0",-3.0), test_t("-4.0",-4.0), test_t("-5.0",-5.0), test_t("-6.0",-6.0), test_t("-7.0",-7.0), test_t("-8.0",-8.0), test_t("-9.0",-9.0), test_t("-0.0",-0.0), test_t("-1.1",-1.1), test_t("-2.2",-2.2), test_t("-3.3",-3.3), test_t("-4.4",-4.4), test_t("-5.5",-5.5), test_t("-6.6",-6.6), test_t("-7.7",-7.7), test_t("-8.8",-8.8), test_t("-9.9",-9.9), test_t("0.0e+0",+0.0e+0), test_t("1.1e+1",+1.1e+1), test_t("2.2e+2",+2.2e+2), test_t("3.3e+3",+3.3e+3), test_t("4.4e+4",+4.4e+4), test_t("5.5e+5",+5.5e+5), test_t("6.6e+6",+6.6e+6), test_t("7.7e+7",+7.7e+7), test_t("8.8e+8",+8.8e+8), test_t("9.9e+9",+9.9e+9), test_t("-0.0e+0",-0.0e+0), test_t("-1.1e+1",-1.1e+1), test_t("-2.2e+2",-2.2e+2), test_t("-3.3e+3",-3.3e+3), test_t("-4.4e+4",-4.4e+4), test_t("-5.5e+5",-5.5e+5), test_t("-6.6e+6",-6.6e+6), test_t("-7.7e+7",-7.7e+7), test_t("-8.8e+8",-8.8e+8), test_t("-9.9e+9",-9.9e+9), test_t("0.0E+0",+0.0E+0), test_t("1.1E+1",+1.1E+1), test_t("2.2E+2",+2.2E+2), test_t("3.3E+3",+3.3E+3), test_t("4.4E+4",+4.4E+4), test_t("5.5E+5",+5.5E+5), test_t("6.6E+6",+6.6E+6), test_t("7.7E+7",+7.7E+7), test_t("8.8E+8",+8.8E+8), test_t("9.9E+9",+9.9E+9), test_t("-0.0E+0",-0.0E+0), test_t("-1.1E+1",-1.1E+1), test_t("-2.2E+2",-2.2E+2), test_t("-3.3E+3",-3.3E+3), test_t("-4.4E+4",-4.4E+4), test_t("-5.5E+5",-5.5E+5), test_t("-6.6E+6",-6.6E+6), test_t("-7.7E+7",-7.7E+7), test_t("-8.8E+8",-8.8E+8), test_t("-9.9E+9",-9.9E+9), test_t("(0)",0.0), test_t("(1)",1.0), test_t("(2)",2.0), test_t("(3)",3.0), test_t("(4)",4.0), test_t("(5)",5.0), test_t("(6)",6.0), test_t("(7)",7.0), test_t("(8)",8.0), test_t("(9)",9.0), test_t("(0.0)",0.0), test_t("(1.0)",1.0), test_t("(2.0)",2.0), test_t("(3.0)",3.0), test_t("(4.0)",4.0), test_t("(5.0)",5.0), test_t("(6.0)",6.0), test_t("(7.0)",7.0), test_t("(8.0)",8.0), test_t("(9.0)",9.0), test_t("(0.0)",0.0), test_t("(1.1)",1.1), test_t("(2.2)",2.2), test_t("(3.3)",3.3), test_t("(4.4)",4.4), test_t("(5.5)",5.5), test_t("(6.6)",6.6), test_t("(7.7)",7.7), test_t("(8.8)",8.8), test_t("(9.9)",9.9), test_t("(+0)",0.0), test_t("(+1)",1.0), test_t("(+2)",2.0), test_t("(+3)",3.0), test_t("(+4)",4.0), test_t("(+5)",5.0), test_t("(+6)",6.0), test_t("(+7)",7.0), test_t("(+8)",8.0), test_t("(+9)",9.0), test_t("(+0.0)",0.0), test_t("(+1.0)",1.0), test_t("(+2.0)",2.0), test_t("(+3.0)",3.0), test_t("(+4.0)",4.0), test_t("(+5.0)",5.0), test_t("(+6.0)",6.0), test_t("(+7.0)",7.0), test_t("(+8.0)",8.0), test_t("(+9.0)",9.0), test_t("(+0.0)",0.0), test_t("(+1.1)",1.1), test_t("(+2.2)",2.2), test_t("(+3.3)",3.3), test_t("(+4.4)",4.4), test_t("(+5.5)",5.5), test_t("(+6.6)",6.6), test_t("(+7.7)",7.7), test_t("(+8.8)",8.8), test_t("(+9.9)",9.9), test_t("(-0)",-0.0), test_t("(-1)",-1.0), test_t("(-2)",-2.0), test_t("(-3)",-3.0), test_t("(-4)",-4.0), test_t("(-5)",-5.0), test_t("(-6)",-6.0), test_t("(-7)",-7.0), test_t("(-8)",-8.0), test_t("(-9)",-9.0), test_t("(-0.0)",-0.0), test_t("(-1.0)",-1.0), test_t("(-2.0)",-2.0), test_t("(-3.0)",-3.0), test_t("(-4.0)",-4.0), test_t("(-5.0)",-5.0), test_t("(-6.0)",-6.0), test_t("(-7.0)",-7.0), test_t("(-8.0)",-8.0), test_t("(-9.0)",-9.0), test_t("(-0.0)",-0.0), test_t("(-1.1)",-1.1), test_t("(-2.2)",-2.2), test_t("(-3.3)",-3.3), test_t("(-4.4)",-4.4), test_t("(-5.5)",-5.5), test_t("(-6.6)",-6.6), test_t("(-7.7)",-7.7), test_t("(-8.8)",-8.8), test_t("(-9.9)",-9.9), test_t("-(1.1)",-1.1), test_t("-(1.1+2.2)",-3.3), test_t("1234567890",1234567890), test_t("123456789.0",123456789.0), test_t("+1234567890",1234567890), test_t("+123456789.0",123456789.0), test_t("-1234567890",-1234567890), test_t("-123456789.0",-123456789.0), test_t("1234.567890",1234.567890), test_t("-1234.567890",-1234.567890), test_t("0+9",9.0), test_t("1+8",9.0), test_t("2+7",9.0), test_t("3+6",9.0), test_t("4+5",9.0), test_t("5+4",9.0), test_t("6+3",9.0), test_t("7+2",9.0), test_t("8+1",9.0), test_t("9+0",9.0), test_t(" 0 + 9 ",9.0), test_t(" 1 + 8 ",9.0), test_t(" 2 + 7 ",9.0), test_t(" 3 + 6 ",9.0), test_t(" 4 + 5 ",9.0), test_t(" 5 + 4 ",9.0), test_t(" 6 + 3 ",9.0), test_t(" 7 + 2 ",9.0), test_t(" 8 + 1 ",9.0), test_t(" 9 + 0 ",9.0), test_t("( 0 + 9 )",9.0), test_t("( 1 + 8 )",9.0), test_t("( 2 + 7 )",9.0), test_t("( 3 + 6 )",9.0), test_t("( 4 + 5 )",9.0), test_t("( 5 + 4 )",9.0), test_t("( 6 + 3 )",9.0), test_t("( 7 + 2 )",9.0), test_t("( 8 + 1 )",9.0), test_t("( 9 + 0 )",9.0), test_t("1+2",+3.0), test_t("1-2",-1.0), test_t("1*2",+2.0), test_t("1/2",+0.5), test_t("1.1+2.2", +3.3), test_t("1.1-2.2", -1.1), test_t("1.1*2.2",+2.42), test_t("1.1/2.2", +0.5), test_t("0-9",-9.0), test_t("1-8",-7.0), test_t("2-7",-5.0), test_t("3-6",-3.0), test_t("4-5",-1.0), test_t("5-4",+1.0), test_t("6-3",+3.0), test_t("7-2",+5.0), test_t("8-1",+7.0), test_t("9-0",+9.0), test_t(" 0 - 9 ",-9.0), test_t(" 1 - 8 ",-7.0), test_t(" 2 - 7 ",-5.0), test_t(" 3 - 6 ",-3.0), test_t(" 4 - 5 ",-1.0), test_t(" 5 - 4 ",+1.0), test_t(" 6 - 3 ",+3.0), test_t(" 7 - 2 ",+5.0), test_t(" 8 - 1 ",+7.0), test_t(" 9 - 0 ",+9.0), test_t("( 0 - 9 )",-9.0), test_t("( 1 - 8 )",-7.0), test_t("( 2 - 7 )",-5.0), test_t("( 3 - 6 )",-3.0), test_t("( 4 - 5 )",-1.0), test_t("( 5 - 4 )",+1.0), test_t("( 6 - 3 )",+3.0), test_t("( 7 - 2 )",+5.0), test_t("( 8 - 1 )",+7.0), test_t("( 9 - 0 )",+9.0), test_t("-(1+2)",-3.0), test_t("+(1+2)",+3.0), test_t("+(1-2)",-1.0), test_t("-(1-2)",+1.0), test_t("(-3*-6)",+18.0), test_t("(-6*-3)",+18.0), test_t("-(-3*-6)",-18.0), test_t("-(-6*-3)",-18.0), test_t("1.1+2.2+3.3",+6.6), test_t("+1.1+2.2+3.3",+6.6), test_t("-1.1-2.2-3.3",-6.6), test_t("1.1*2.2*3.3",+7.986), test_t("+1.1*2.2*3.3",+7.986), test_t("-1.1*-2.2*-3.3",-7.986), test_t("1 + 1/2",+1.5), test_t("1 + (1/2)",+1.5), test_t("1.1 + 1.1/2.2",+1.6), test_t("1.1 + (1.1/2.2)",+1.6), test_t("2 * 1/2",+1.0), test_t("2 * (1/2)",+1.0), test_t("2.2 * 1.1/2.2",+1.1), test_t("2.2 * (1.1/2.2)",+1.1), test_t("1^2",1.0), test_t("2^1",2.0), test_t("2^3",8.0), test_t("-2^3",-8.0), test_t("-2^4",-16.0), test_t("(-2)^3",-8.0), test_t("(-2)^4",+16.0), test_t("3^2^4",43046721.0), test_t("1.1^2.2",1.23328630055466251099), test_t("2.2^1.1",2.3804822576003541627), test_t("2.2^3.3",13.48946876053338489127), test_t("3.3^2.2^1.1",17.15193942371376191362), test_t("+3.3^2.2^1.1",17.15193942371376191362), test_t("3.3^+2.2^1.1",17.15193942371376191362), test_t("3.3^2.2^+1.1",17.15193942371376191362), test_t("3.3^2.2^-1.1",1.65127293793867959137), test_t("+3.3^+2.2^-1.1",1.65127293793867959137), test_t("1.1^(1.1 * 2.2)",1.25941916576299080582), test_t("2.2^(1.1 * 3.3)",17.49823848953534759743), test_t("3.3^(1.1 * 2.2)",17.98058156638874965269), test_t("1.1^-2.2/1.1",0.73712884727743375853), test_t("1.1^+2.2/1.1",1.121169364140602282717273261774), test_t("1.1^2.2/+1.1",1.121169364140602282717273261774), test_t("1.1^+2.2/+1.1",1.121169364140602282717273261774), test_t("1.1^+2.2/-1.1",-1.121169364140602282717273261774), test_t("1.1^2.2/-1.1",-1.121169364140602282717273261774), test_t("1.1^+2.2/-1.1",-1.121169364140602282717273261774), test_t("+1.1^-2.2/1.1",0.73712884727743375853), test_t("+1.1^+2.2/1.1",1.121169364140602282717273261774), test_t("+1.1^2.2/+1.1",1.121169364140602282717273261774), test_t("+1.1^+2.2/+1.1",1.121169364140602282717273261774), test_t("+1.1^+2.2/-1.1",-1.121169364140602282717273261774), test_t("+1.1^2.2/-1.1",-1.121169364140602282717273261774), test_t("+1.1^+2.2/-1.1",-1.121169364140602282717273261774), test_t("equal(1.23^3,(1.23 * 1.23 * 1.23))",1.0), test_t("equal(1.23^-3,1/(1.23 * 1.23 * 1.23))",1.0), test_t("equal((2.1 + 1.23^3),(2.1 + [1.23 * 1.23 * 1.23]))",1.0), test_t("equal((2.1 - 1.23^3),(2.1 - [1.23 * 1.23 * 1.23]))",1.0), test_t("equal((2.1 * 1.23^3),(2.1 * [1.23 * 1.23 * 1.23]))",1.0), test_t("equal((2.1 / 1.23^3),(2.1 / [1.23 * 1.23 * 1.23]))",1.0), test_t("equal((1.23^3 + 2.1),({1.23 * 1.23 * 1.23} + 2.1))",1.0), test_t("equal((1.23^3 - 2.1),({1.23 * 1.23 * 1.23} - 2.1))",1.0), test_t("equal((1.23^3 * 2.1),({1.23 * 1.23 * 1.23} * 2.1))",1.0), test_t("equal((1.23^3 / 2.1),({1.23 * 1.23 * 1.23} / 2.1))",1.0), test_t("equal(1.0^(1.0/2.0),sqrt(1.0))",1.0), test_t("equal(1.0^(1.0/2.0),root(1.0,2.0))",1.0), test_t("equal(1.0^(1.0/3.0),root(1.0,3.0))",1.0), test_t("equal(1.0^(1.0/4.0),root(1.0,4.0))",1.0), test_t("equal(1.0^(1.0/5.0),root(1.0,5.0))",1.0), test_t("equal(1.0^(1.0/6.0),root(1.0,6.0))",1.0), test_t("equal(1.0^(1.0/7.0),root(1.0,7.0))",1.0), test_t("equal(1.0^(1.0/8.0),root(1.0,8.0))",1.0), test_t("equal(1.0^(1.0/9.0),root(1.0,9.0))",1.0), test_t("equal(2.0^(1.0/2.0),sqrt(2.0))",1.0), test_t("equal(2.0^(1.0/2.0),root(2.0,2.0))",1.0), test_t("equal(3.0^(1.0/3.0),root(3.0,3.0))",1.0), test_t("equal(4.0^(1.0/4.0),root(4.0,4.0))",1.0), test_t("equal(5.0^(1.0/5.0),root(5.0,5.0))",1.0), test_t("equal(6.0^(1.0/6.0),root(6.0,6.0))",1.0), test_t("equal(7.0^(1.0/7.0),root(7.0,7.0))",1.0), test_t("equal(8.0^(1.0/8.0),root(8.0,8.0))",1.0), test_t("equal(9.0^(1.0/9.0),root(9.0,9.0))",1.0), test_t("1 < 2", 1.0), test_t("1 <= 2", 1.0), test_t("1.1 <= 2.2", 1.0), test_t("(1.0 + 0.1) <= (2.0 + 0.2)", 1.0), test_t("1 > 2", 0.0), test_t("1 >= 2", 0.0), test_t("1.1 >= 2.2", 0.0), test_t("(1.0 + 0.1) >= (2.0 + 0.2)", 0.0), test_t("1 <> 2", 1.0), test_t("1 != 2", 1.0), test_t("1.1 <> 2.2", 1.0), test_t("1.1 != 2.2", 1.0), test_t("(1.0 + 0.1) <> (2.0 + 0.2)", 1.0), test_t("(1.0 + 0.1) != (2.0 + 0.2)", 1.0), test_t("1 == 1", 1.0), test_t("1.1 == 1.1", 1.0), test_t("1 = 1", 1.0), test_t("1.1 = 1.1", 1.0), test_t("1 <> 1", 0.0), test_t("1 != 1", 0.0), test_t("1.1 <> 1.1", 0.0), test_t("1.1 != 1.1", 0.0), test_t("(1.0 + 0.1) <> (1.0 + 0.1)", 0.0), test_t("(1.0 + 0.1) != (1.0 + 0.1)", 0.0), test_t("equal(1.1,1.1)",1.0), test_t("equal(1.1,2.2)",0.0), test_t("not_equal(1.1,1.1)",0.0), test_t("not_equal(1.1,2.2)",1.0), test_t("1 and 1",1.0), test_t("1 and 0",0.0), test_t("0 and 1",0.0), test_t("0 and 0",0.0), test_t("1.0 and 1.0",1.0), test_t("1.0 and 0.0",0.0), test_t("0.0 and 1.0",0.0), test_t("0.0 and 0.0",0.0), test_t("(1 and 1)",1.0), test_t("(1 and 0)",0.0), test_t("(0 and 1)",0.0), test_t("(0 and 0)",0.0), test_t("(1.0 and 1.0)",1.0), test_t("(1.0 and 0.0)",0.0), test_t("(0.0 and 1.0)",0.0), test_t("(0.0 and 0.0)",0.0), test_t("1 or 1",1.0), test_t("1 or 0",1.0), test_t("0 or 1",1.0), test_t("0 or 0",0.0), test_t("1.0 or 1.0",1.0), test_t("1.0 or 0.0",1.0), test_t("0.0 or 1.0",1.0), test_t("0.0 or 0.0",0.0), test_t("(1 or 1)",1.0), test_t("(1 or 0)",1.0), test_t("(0 or 1)",1.0), test_t("(0 or 0)",0.0), test_t("(1.0 or 1.0)",1.0), test_t("(1.0 or 0.0)",1.0), test_t("(0.0 or 1.0)",1.0), test_t("(0.0 or 0.0)",0.0), test_t("1 nand 1",0.0), test_t("1 nand 0",1.0), test_t("0 nand 1",1.0), test_t("0 nand 0",1.0), test_t("1.0 nand 1.0",0.0), test_t("1.0 nand 0.0",1.0), test_t("0.0 nand 1.0",1.0), test_t("0.0 nand 0.0",1.0), test_t("(1 nand 1)",0.0), test_t("(1 nand 0)",1.0), test_t("(0 nand 1)",1.0), test_t("(0 nand 0)",1.0), test_t("(1.0 nand 1.0)",0.0), test_t("(1.0 nand 0.0)",1.0), test_t("(0.0 nand 1.0)",1.0), test_t("(0.0 nand 0.0)",1.0), test_t("1 nor 1",0.0), test_t("1 nor 0",0.0), test_t("0 nor 1",0.0), test_t("0 nor 0",1.0), test_t("1.0 nor 1.0",0.0), test_t("1.0 nor 0.0",0.0), test_t("0.0 nor 1.0",0.0), test_t("0.0 nor 0.0",1.0), test_t("(1 nor 1)",0.0), test_t("(1 nor 0)",0.0), test_t("(0 nor 1)",0.0), test_t("(0 nor 0)",1.0), test_t("(1.0 nor 1.0)",0.0), test_t("(1.0 nor 0.0)",0.0), test_t("(0.0 nor 1.0)",0.0), test_t("(0.0 nor 0.0)",1.0), test_t("0 xor 0",0.0), test_t("0 xor 1",1.0), test_t("1 xor 0",1.0), test_t("1 xor 1",0.0), test_t("0.0 xor 0.0",0.0), test_t("0.0 xor 1.0",1.0), test_t("1.0 xor 0.0",1.0), test_t("1.0 xor 1.0",0.0), test_t("(0 xor 0)",0.0), test_t("(0 xor 1)",1.0), test_t("(1 xor 0)",1.0), test_t("(1 xor 1)",0.0), test_t("(0.0 xor 0.0)",0.0), test_t("(0.0 xor 1.0)",1.0), test_t("(1.0 xor 0.0)",1.0), test_t("(1.0 xor 1.0)",0.0), test_t("1 & 1",1.0), test_t("1 & 0",0.0), test_t("0 & 1",0.0), test_t("0 & 0",0.0), test_t("1.0 & 1.0",1.0), test_t("1.0 & 0.0",0.0), test_t("0.0 & 1.0",0.0), test_t("0.0 & 0.0",0.0), test_t("(1 & 1)",1.0), test_t("(1 & 0)",0.0), test_t("(0 & 1)",0.0), test_t("(0 & 0)",0.0), test_t("(1.0 & 1.0)",1.0), test_t("(1.0 & 0.0)",0.0), test_t("(0.0 & 1.0)",0.0), test_t("(0.0 & 0.0)",0.0), test_t("1 | 1",1.0), test_t("1 | 0",1.0), test_t("0 | 1",1.0), test_t("0 | 0",0.0), test_t("1.0 | 1.0",1.0), test_t("1.0 | 0.0",1.0), test_t("0.0 | 1.0",1.0), test_t("0.0 | 0.0",0.0), test_t("(1 | 1)",1.0), test_t("(1 | 0)",1.0), test_t("(0 | 1)",1.0), test_t("(0 | 0)",0.0), test_t("(1.0 | 1.0)",1.0), test_t("(1.0 | 0.0)",1.0), test_t("(0.0 | 1.0)",1.0), test_t("(0.0 | 0.0)",0.0), test_t("(1 nand 1) == not(1 and 1)",1.0), test_t("(1 nand 0) == not(1 and 0)",1.0), test_t("(0 nand 1) == not(0 and 1)",1.0), test_t("(0 nand 0) == not(0 and 0)",1.0), test_t("(1 nor 1) == not(1 or 1)",1.0), test_t("(1 nor 0) == not(1 or 0)",1.0), test_t("(0 nor 1) == not(0 or 1)",1.0), test_t("(0 nor 0) == not(0 or 0)",1.0), test_t("(1.0 nand 1.0) == not(1.0 and 1.0)",1.0), test_t("(1.0 nand 0.0) == not(1.0 and 0.0)",1.0), test_t("(0.0 nand 1.0) == not(0.0 and 1.0)",1.0), test_t("(0.0 nand 0.0) == not(0.0 and 0.0)",1.0), test_t("(1.0 nor 1.0) == not(1.0 or 1.0)",1.0), test_t("(1.0 nor 0.0) == not(1.0 or 0.0)",1.0), test_t("(0.0 nor 1.0) == not(0.0 or 1.0)",1.0), test_t("(0.0 nor 0.0) == not(0.0 or 0.0)",1.0), test_t("(1 nand 1) == not(1 & 1)",1.0), test_t("(1 nand 0) == not(1 & 0)",1.0), test_t("(0 nand 1) == not(0 & 1)",1.0), test_t("(0 nand 0) == not(0 & 0)",1.0), test_t("(1 nor 1) == not(1 | 1)",1.0), test_t("(1 nor 0) == not(1 | 0)",1.0), test_t("(0 nor 1) == not(0 | 1)",1.0), test_t("(0 nor 0) == not(0 | 0)",1.0), test_t("(1.0 nand 1.0) == not(1.0 & 1.0)",1.0), test_t("(1.0 nand 0.0) == not(1.0 & 0.0)",1.0), test_t("(0.0 nand 1.0) == not(0.0 & 1.0)",1.0), test_t("(0.0 nand 0.0) == not(0.0 & 0.0)",1.0), test_t("(1.0 nor 1.0) == not(1.0 | 1.0)",1.0), test_t("(1.0 nor 0.0) == not(1.0 | 0.0)",1.0), test_t("(0.0 nor 1.0) == not(0.0 | 1.0)",1.0), test_t("(0.0 nor 0.0) == not(0.0 | 0.0)",1.0), test_t("mand(1,1)",1.0), test_t("mand(1,0)",0.0), test_t("mand(0,1)",0.0), test_t("mand(0,0)",0.0), test_t("mand(1.0,1.0)",1.0), test_t("mand(1.0,0.0)",0.0), test_t("mand(0.0,1.0)",0.0), test_t("mand(0.0,0.0)",0.0), test_t("mor(1,1)",1.0), test_t("mor(1,0)",1.0), test_t("mor(0,1)",1.0), test_t("mor(0,0)",0.0), test_t("mor(1.0,1.0)",1.0), test_t("mor(1.0,0.0)",1.0), test_t("mor(0.0,1.0)",1.0), test_t("mor(0.0,0.0)",0.0), test_t("(1 nand 1) == not(mand(1,1))",1.0), test_t("(1 nand 0) == not(mand(1,0))",1.0), test_t("(0 nand 1) == not(mand(0,1))",1.0), test_t("(0 nand 0) == not(mand(0,0))",1.0), test_t("(1 nor 1) == not(mor(1,1))",1.0), test_t("(1 nor 0) == not(mor(1,0))",1.0), test_t("(0 nor 1) == not(mor(0,1))",1.0), test_t("(0 nor 0) == not(mor(0,0))",1.0), test_t("(1.0 nand 1.0) == not(mand(1.0,1.0))",1.0), test_t("(1.0 nand 0.0) == not(mand(1.0,0.0))",1.0), test_t("(0.0 nand 1.0) == not(mand(0.0,1.0))",1.0), test_t("(0.0 nand 0.0) == not(mand(0.0,0.0))",1.0), test_t("(1.0 nor 1.0) == not(mor(1.0,1.0))",1.0), test_t("(1.0 nor 0.0) == not(mor(1.0,0.0))",1.0), test_t("(0.0 nor 1.0) == not(mor(0.0,1.0))",1.0), test_t("(0.0 nor 0.0) == not(mor(0.0,0.0))",1.0), test_t("abs(1)",1.0), test_t("abs(-1)",1.0), test_t("abs(1.0)",1.0), test_t("abs(-1.0)",1.0), test_t("min(1,2)",1.0), test_t("min(1,2,3)",1.0), test_t("min(1,2,3,4)",1.0), test_t("min(1,2,3,4,5)",1.0), test_t("min(1,2,3,4,5,6)",1.0), test_t("min(1.1,2.2)",1.1), test_t("min(1.1,2.2,3.3)",1.1), test_t("min(1.1,2.2,3.3,4.4)",1.1), test_t("min(1.1,2.2,3.3,4.4,5.5)",1.1), test_t("min(1.1,2.2,3.3,4.4,5.5,6.6)",1.1), test_t("min(min(1,2),min(3,4))",1.0), test_t("max(1,2)",2.0), test_t("max(1,2,3)",3.0), test_t("max(1,2,3,4)",4.0), test_t("max(1,2,3,4,5)",5.0), test_t("max(1,2,3,4,5,6)",6.0), test_t("max(1.1,2.2)",2.2), test_t("max(1.1,2.2,3.3)",3.3), test_t("max(1.1,2.2,3.3,4.4)",4.4), test_t("max(1.1,2.2,3.3,4.4,5.5)",5.5), test_t("max(1.1,2.2,3.3,4.4,5.5,6.6)",6.6), test_t("max(max(1,2),max(3,4))",4.0), test_t("avg(1,2)",1.5), test_t("avg(1,2,3)",2.0), test_t("avg(1,2,3,4)",2.5), test_t("avg(1,2,3,4,5)",3.0), test_t("avg(1.1,2.2)",1.65), test_t("avg(1.1,2.2,3.3)",2.2), test_t("avg(1.1,2.2,3.3,4.4)",2.75), test_t("avg(1.1,2.2,3.3,4.4,5.5)",3.3), test_t("avg(1.1,2.2,3.3,4.4,5.5,6.6)",3.85), test_t("sum(1,2)",3.0), test_t("sum(1,2,3)",6.0), test_t("sum(1,2,3,4)",10), test_t("sum(1,2,3,4,5)",15.0), test_t("sum(1,2,3,4,5,6)",21), test_t("sum(1.1,2.2)",3.3), test_t("sum(1.1,2.2,3.3)",6.6), test_t("sum(1.1,2.2,3.3,4.4)",11.0), test_t("sum(1.1,2.2,3.3,4.4,5.5)",16.5), test_t("sum(1.1,2.2,3.3,4.4,5.5,6.6)",23.1), test_t("mul(1,2)",2.0), test_t("mul(1,2,3)",6.0), test_t("mul(1,2,3,4)",24.0), test_t("mul(1,2,3,4,5)",120.0), test_t("mul(1,2,3,4,5,6)",720.0), test_t("mul(1.1,2.2)",2.42), test_t("mul(1.1,2.2,3.3)",7.986), test_t("mul(1.1,2.2,3.3,4.4)",35.1384), test_t("mul(1.1,2.2,3.3,4.4,5.5)",193.2612), test_t("mul(1.1,2.2,3.3,4.4,5.5,6.6)",1275.52392), test_t("equal(sum(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),(1.1+2.2+3.3+4.4+5.5+6.6+7.7+8.8+9.9))",1.0), test_t("equal(mul(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),(1.1*2.2*3.3*4.4*5.5*6.6*7.7*8.8*9.9))",1.0), test_t("equal(min(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),1.1)",1.0), test_t("equal(max(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),9.9)",1.0), test_t("equal(avg(1.1,2.2,3.3,4.4,5.5,6.6,7.7,8.8,9.9),5.5)",1.0), test_t("floor(1.0)",1.0), test_t("floor(1.1)",1.0), test_t("floor(-1.0)",-1.0), test_t("floor(-1.1)",-2.0), test_t("ceil(1.0)",1.0), test_t("ceil(1.1)",2.0), test_t("ceil(-1.0)",-1.0), test_t("ceil(-1.1)",-1.0), test_t("round(1.1)",1.0), test_t("round(1.49)",1.0), test_t("round(1.5)",2.0), test_t("round(1.9)",2.0), test_t("roundn(1/3,2)",0.33), test_t("roundn(1/3,5)",0.33333), test_t("roundn(2/3,2)",0.67), test_t("roundn(2/3,5)",0.66667), test_t("roundn(1.0/3.0,2.0)",0.33), test_t("roundn(1.0/3.0,5.0)",0.33333), test_t("roundn(2.0/3.0,2.0)",0.67), test_t("roundn(2.0/3.0,5.0)",0.66667), test_t("cos(0.0)",1.0), test_t("sin(0.0)",0.0), test_t("equal(sin(pi/4.0),cos(pi/4.0))",1.0), test_t("equal(sin(pi/6.0),cos(pi/3.0))",1.0), test_t("(sin(pi/4.0) - cos(pi/4.0)) <= epsilon",1.0), test_t("(cos(pi/3.0) - sin(pi/6.0)) <= epsilon",1.0), test_t("sin(deg2rad(30))",0.5), test_t("cos(deg2rad(60))",0.5), test_t("sin(deg2rad(30)) + cos(deg2rad(60))",1.0), test_t("equal(sin(deg2rad(30))/cos(deg2rad(30)),tan(deg2rad(30)))",1.0), test_t("equal(sinh(pi),11.5487393572577483779773343153884) ",1.0), test_t("equal(asinh(11.5487393572577483779773343153884),pi)",1.0), test_t("equal(cosh(pi),11.5919532755215206277517520525601) ",1.0), test_t("equal(acosh(11.5919532755215206277517520525601),pi)",1.0), test_t("equal(tanh(pi),0.99627207622074994426469058001253) ",1.0), test_t("equal(atanh(0.99627207622074994426469058001253),pi)",1.0), test_t("exp(1.0)",2.71828182845904523536028747135266249775724), test_t("exp(0.0)",1.0), test_t("log(2.7182818284590451)",1.0), test_t("log10(10.0)",1.0), test_t("frac(12.34) + trunc(12.34)",12.34), test_t("hypot(3.0,4.0)",5.0), test_t("hypot(1.0,sqrt(3.0))",2.0), test_t("if(1 < 2, 3, 4)",3.0), test_t("if(1.1 < 2.2, 3.3, 4.4)",3.3), test_t("if((1.0+1.1) < (2.0+1.2), 3.3, 4.4)",3.3), test_t("if(1 = 2, 3, 4)",4.0), test_t("if(1.1 = 2.2, 3.3, 4.4)",4.4), test_t("if((1.0+1.1) = (2.0+1.2), 3.3, 4.4)",4.4), test_t("if(1 == 2, 3, 4)",4.0), test_t("if(1.1 == 2.2, 3.3, 4.4)",4.4), test_t("if((1.0+1.1) == (2.0+1.2), 3.3, 4.4)",4.4), test_t("if(1 >= 2, 3, 4)",4.0), test_t("if(1.1 >= 2.2, 3.3, 4.4)",4.4), test_t("if((1.0+1.1) >= (2.0+1.2), 3.3, 4.4)",4.4), test_t("if(((1.0 + 2.0) == 3.0) and ((4.0 + 5.0) < 9.0),1,2)",2.0), test_t("(3.0 - 1.0 - 2.0) == ((3.0 - 1.0) - 2.0)",1.0), test_t("true == true",1.0), test_t("false == false",1.0), test_t("true != false",1.0), test_t("false != true",1.0), test_t("(1 < 2) == true",1.0), test_t("(1 > 2) == false",1.0), test_t("true == (1 < 2)",1.0), test_t("false == (1 > 2)",1.0), test_t("(1 > 2) != true",1.0), test_t("(1 < 2) != false",1.0), test_t("true != (1 > 2)",1.0), test_t("false != (1 < 2)",1.0), test_t("(true and true) == true",1.0), test_t("(false and false) == false",1.0), test_t("(true or true) == true",1.0), test_t("(false or false) == false",1.0), test_t("(true and false) == false",1.0), test_t("(false and true) == false",1.0), test_t("(true or false) == true",1.0), test_t("(false or true) == true",1.0), test_t("(true & true) == true",1.0), test_t("(false & false) == false",1.0), test_t("(true | true) == true",1.0), test_t("(false | false) == false",1.0), test_t("(true & false) == false",1.0), test_t("(false & true) == false",1.0), test_t("(true | false) == true",1.0), test_t("(false | true) == true",1.0), test_t("clamp(-1,1,+1)",1.0), test_t("clamp(-1,-1.5,+1.0)",-1.0), test_t("clamp(-1,+1.5,+1.0)",+1.0), test_t("clamp(-1,-1.5,+1.0) + clamp(-1,+1.5,+1.0)",0.0), test_t("inrange(-2,1,+2) == ((-2 <= 1) and (1 <= +2))",1.0), test_t("inrange(-2,1,+2) == if(({-2 <= 1} and [1 <= +2]),1.0,0.0)",1.0), test_t("sgn( 0)", 0.0), test_t("sgn(+3)",+1.0), test_t("sgn(-3)",-1.0), test_t("equal($f00(1.1,2.2,3.3),(1.1+2.2)/3.3)",1.0), test_t("equal($f01(1.1,2.2,3.3),(1.1+2.2)*3.3)",1.0), test_t("equal($f02(1.1,2.2,3.3),(1.1+2.2)-3.3)",1.0), test_t("equal($f03(1.1,2.2,3.3),(1.1+2.2)+3.3)",1.0), test_t("equal($f04(1.1,2.2,3.3),(1.1-2.2)+3.3)",1.0), test_t("equal($f05(1.1,2.2,3.3),(1.1-2.2)/3.3)",1.0), test_t("equal($f06(1.1,2.2,3.3),(1.1-2.2)*3.3)",1.0), test_t("equal($f07(1.1,2.2,3.3),(1.1*2.2)+3.3)",1.0), test_t("equal($f08(1.1,2.2,3.3),(1.1*2.2)-3.3)",1.0), test_t("equal($f09(1.1,2.2,3.3),(1.1*2.2)/3.3)",1.0), test_t("equal($f10(1.1,2.2,3.3),(1.1*2.2)*3.3)",1.0), test_t("equal($f11(1.1,2.2,3.3),(1.1/2.2)+3.3)",1.0), test_t("equal($f12(1.1,2.2,3.3),(1.1/2.2)-3.3)",1.0), test_t("equal($f13(1.1,2.2,3.3),(1.1/2.2)/3.3)",1.0), test_t("equal($f14(1.1,2.2,3.3),(1.1/2.2)*3.3)",1.0), test_t("equal($f15(1.1,2.2,3.3),1.1/(2.2+3.3))",1.0), test_t("equal($f16(1.1,2.2,3.3),1.1/(2.2-3.3))",1.0), test_t("equal($f17(1.1,2.2,3.3),1.1/(2.2*3.3))",1.0), test_t("equal($f18(1.1,2.2,3.3),1.1/(2.2/3.3))",1.0), test_t("equal($f19(1.1,2.2,3.3),1.1*(2.2+3.3))",1.0), test_t("equal($f20(1.1,2.2,3.3),1.1*(2.2-3.3))",1.0), test_t("equal($f21(1.1,2.2,3.3),1.1*(2.2*3.3))",1.0), test_t("equal($f22(1.1,2.2,3.3),1.1*(2.2/3.3))",1.0), test_t("equal($f23(1.1,2.2,3.3),1.1-(2.2+3.3))",1.0), test_t("equal($f24(1.1,2.2,3.3),1.1-(2.2-3.3))",1.0), 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test_t("(1+2)-(3*4)/(5+6)-(7*8)/(9+0)",-4.31313131313131313131), test_t("1/1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9",2.82896825396825396825), test_t("(1/1)+(1/2)+(1/3)+(1/4)+(1/5)+(1/6)+(1/7)+(1/8)+(1/9)",2.82896825396825396825), test_t("1.0/1.0+1.0/2.0+1.0/3.0+1.0/4.0+1.0/5.0+1.0/6.0+1.0/7.0+1.0/8.0+1.0/9",2.82896825396825396825), test_t("(1.0/1.0)+(1.0/2.0)+(1.0/3.0)+(1.0/4.0)+(1.0/5.0)+(1.0/6.0)+(1.0/7.0)+(1.0/8.0)+(1.0/9)",2.82896825396825396825), test_t("1/1*1/2*1/3*1/4*1/5*1/6*1/7*1/8*1/9",0.00000275573192239859), test_t("(1/1)*(1/2)*(1/3)*(1/4)*(1/5)*(1/6)*(1/7)*(1/8)*(1/9)",0.00000275573192239859), test_t("1.0/1.0*1.0/2.0*1.0/3.0*1.0/4.0*1.0/5.0*1.0/6.0*1.0/7.0*1.0/8.0*1.0/9",0.00000275573192239859), test_t("(1.0/1.0)*(1.0/2.0)*(1.0/3.0)*(1.0/4.0)*(1.0/5.0)*(1.0/6.0)*(1.0/7.0)*(1.0/8.0)*(1.0/9)",0.00000275573192239859), test_t("equal(poly01(1.2345,2.2,1.1),(2.2*1.2345^1+1.1))",1.0), test_t("equal(poly02(1.2345,3.3,2.2,1.1),(3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly03(1.2345,4.4,3.3,2.2,1.1),(4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly04(1.2345,5.5,4.4,3.3,2.2,1.1),(5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly05(1.2345,6.6,5.5,4.4,3.3,2.2,1.1),(6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly06(1.2345,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly07(1.2345,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(8.8*1.2345^7+7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly08(1.2345,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(9.9*1.2345^8+8.8*1.2345^7+7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly09(1.2345,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(1.1*1.2345^9+9.9*1.2345^8+8.8*1.2345^7+7.7*1.2345^6+6.6*1.2345^5+5.5*1.2345^4+4.4*1.2345^3+3.3*1.2345^2+2.2*1.2345^1+1.1))",1.0), test_t("equal(poly10(1.37,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(2.2*1.37^10+1.1*1.37^9+9.9*1.37^8+8.8*1.37^7+7.7*1.37^6+6.6*1.37^5+5.5*1.37^4+4.4*1.37^3+3.3*1.37^2+2.2*1.37^1+1.1))",1.0), test_t("equal(poly11(1.37,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(3.3*1.37^11+2.2*1.37^10+1.1*1.37^9+9.9*1.37^8+8.8*1.37^7+7.7*1.37^6+6.6*1.37^5+5.5*1.37^4+4.4*1.37^3+3.3*1.37^2+2.2*1.37^1+1.1))",1.0), test_t("equal(poly12(1.37,4.4,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(4.4*1.37^12+3.3*1.37^11+2.2*1.37^10+1.1*1.37^9+9.9*1.37^8+8.8*1.37^7+7.7*1.37^6+6.6*1.37^5+5.5*1.37^4+4.4*1.37^3+3.3*1.37^2+2.2*1.37^1+1.1))",1.0), test_t("equal(\t \n(\n \r1.1\t\t - \n\n 2.2\n\n/\r3.3\t),(1.1-2.2/3.3))",1.0), test_t("equal((pi^2^3),(pi^8))",1.0), test_t("equal((pi^(2^3)),(pi^8))",1.0), test_t("equal(pi^2^3-pi^8,0)",1.0), test_t("equal((2*pi^2^3),2*(pi^8))",1.0), test_t("equal((pi^2^3*2),2*(pi^8))",1.0), test_t("equal((pi^2^3/2),(pi^8)/2)",1.0), test_t("equal((pi^2.2^3.3),(pi^13.4894687605338489))",1.0), test_t("equal((pi^(2.2^3.3)),(pi^13.4894687605338489))",1.0), test_t("equal((2.2*pi^2.2^3.3),2.2*(pi^13.4894687605338489))",1.0), test_t("equal((pi^2.2^3.3*2),2*(pi^13.4894687605338489))",1.0), test_t("equal((pi^2.2^3.3/2.2),(pi^13.4894687605338489)/2.2)",1.0), test_t("equal((pi^-2^3),1/(pi^8))",1.0), test_t("equal((pi^(-2^3)),1/(pi^8))",1.0), test_t("equal((pi^2^-3),(pi^(1/8)))",1.0), test_t("equal((pi^(2^-3)),(pi^(1/8)))",1.0), test_t("equal((pi^-2^-3),1/(pi^(1/8)))",1.0), test_t("equal((pi^(-2^-3)),1/(pi^(1/8)))",1.0), test_t("equal((-pi^2^3),(-pi^8))",1.0), test_t("equal((-pi^(2^3)),(-pi^8))",1.0), test_t("equal(-pi^2^3--pi^8,0)",1.0), test_t("equal((2*-pi^2^3),2*(-pi^8))",1.0), test_t("equal((-pi^2^3*2),2*(-pi^8))",1.0), test_t("equal((-pi^2^3/2),(-pi^8)/2)",1.0), test_t("equal((-pi^2.2^3.3),(-pi^13.4894687605338489))",1.0), test_t("equal((-pi^(2.2^3.3)),(-pi^13.4894687605338489))",1.0), test_t("equal((2.2*-pi^2.2^3.3),2.2*(-pi^13.4894687605338489))",1.0), test_t("equal((-pi^2.2^3.3*2),2*(-pi^13.4894687605338489))",1.0), test_t("equal((-pi^2.2^3.3/2.2),(-pi^13.4894687605338489)/2.2)",1.0), test_t("equal((-pi^-2^3),1/(-pi^8))",1.0), test_t("equal((-pi^(-2^3)),1/(-pi^8))",1.0), test_t("equal((-pi^2^-3),(-pi^(1/8)))",1.0), test_t("equal((-pi^(2^-3)),(-pi^(1/8)))",1.0), test_t("equal((-pi^-2^-3),1/(-pi^(1/8)))",1.0), test_t("equal((-pi^(-2^-3)),1/(-pi^(1/8)))",1.0), test_t("equal((+pi^+2^+3),(+pi^+8))",1.0), test_t("equal((+pi^(2^3)),(+pi^+8))",1.0), test_t("equal(+pi^+2^+3-+pi^+8,0)",1.0), test_t("equal((+2*+pi^+2^+3),+2*(+pi^+8))",1.0), test_t("equal((+pi^+2^+3*+2),+2*(+pi^+8))",1.0), test_t("equal((+pi^+2^+3/+2),(+pi^+8)/+2)",1.0), test_t("equal((+pi^+2.2^+3.3),(+pi^+13.4894687605338489))",1.0), test_t("equal((+pi^(+2.2^+3.3)),(+pi^+13.4894687605338489))",1.0), test_t("equal((+2.2*+pi^+2.2^+3.3),+2.2*(+pi^+13.4894687605338489))",1.0), test_t("equal((+pi^+2.2^+3.3*+2),+2*(+pi^+13.4894687605338489))",1.0), test_t("equal((+pi^+2.2^+3.3/+2.2),(+pi^+13.4894687605338489)/+2.2)",1.0), test_t("equal((+pi^-2^3),1/(+pi^+8))",1.0), test_t("equal((+pi^(-2^3)),1/(+pi^+8))",1.0), test_t("equal((+pi^2^-3),(+pi^(+1/+8)))",1.0), test_t("equal((+pi^(2^-3)),(+pi^(+1/+8)))",1.0), test_t("equal((+pi^-2^-3),1/(+pi^(+1/+8)))",1.0), test_t("equal((+pi^(-2^-3)),1/(+pi^(+1/+8)))",1.0), test_t("equal((-pi^+2^+3),(-pi^+8))",1.0), test_t("equal((-pi^(2^3)),(-pi^+8))",1.0), test_t("equal(-pi^+2^+3--pi^+8,0)",1.0), test_t("equal((+2*-pi^+2^+3),2*(-pi^+8))",1.0), test_t("equal((-pi^+2^+3*2),2*(-pi^+8))",1.0), test_t("equal((-pi^+2^+3/+2),(-pi^+8)/+2)",1.0), test_t("equal((-pi^+2.2^+3.3),(-pi^+13.4894687605338489))",1.0), test_t("equal((-pi^(2.2^3.3)),(-pi^+13.4894687605338489))",1.0), test_t("equal((+2.2*-pi^+2.2^+3.3),2.2*(-pi^+13.4894687605338489))",1.0), test_t("equal((-pi^+2.2^+3.3*2),2*(-pi^+13.4894687605338489))",1.0), test_t("equal((-pi^+2.2^+3.3/+2.2),(-pi^+13.4894687605338489)/+2.2)",1.0), test_t("equal((-pi^-2^3),1/(-pi^+8))",1.0), test_t("equal((-pi^(-2^3)),1/(-pi^+8))",1.0), test_t("equal((-pi^2^-3),(-pi^(+1/+8)))",1.0), test_t("equal((-pi^(2^-3)),(-pi^(+1/+8)))",1.0), test_t("equal((-pi^-2^-3),1/(-pi^(+1/+8)))",1.0), test_t("equal((-pi^(-2^-3)),1/(-pi^(+1/+8)))",1.0), test_t("switch { case (1 <= 2) : 1; default: 1.12345; }",1.0), test_t("switch { case (1 > 2) : 0; case (1 <= 2) : 1; default: 1.12345; }",1.0), test_t("switch { case (1 <= 2) : switch { case (1 <= 2) : 1; default: 1.12345; }; default: 1.12345; }",1.0), test_t("switch { case [1 <= 2] : 1; default: 1.12345; }",1.0), test_t("switch { case [1 > 2] : 0; case [1 <= 2] : 1; default: 1.12345; }",1.0), test_t("switch { case [1 <= 2] : switch { case [1 <= 2] : 1; default: 1.12345; }; default: 1.12345; }",1.0), test_t("switch { case {1 <= 2} : 1; default: 1.12345; }",1.0), test_t("switch { case {1 > 2} : 0; case {1 <= 2} : 1; default: 1.12345; }",1.0), test_t("switch { case {1 <= 2} : switch { case {1 <= 2} : 1; default: 1.12345; }; default: 1.12345; }",1.0), test_t("switch { case [(1 <= 2)] : {1}; default: 1.12345; }",1.0), test_t("switch { case ([1 > 2]) : [0]; case ([1 <= 2]) : 1; default: 1.12345; }",1.0), test_t("switch { case {(1 <= 2)} : switch { case ({1 <= 2}) : 1; default: 1.12345; }; default: 1.12345; }",1.0), test_t("switch { case 1 > 1 : 1; case 2 > 2 : 2; case 3 = 3 : 3; case 4 > 4 : 4; default : 5; }",3.0), test_t("repeat 1.1 + 2.2 until (1 < 2)",3.3), test_t("repeat (1.1 + 2.2) until (1 < 2)",3.3), test_t("repeat 1.1 + 2.2; until (1 < 2)",3.3), test_t("repeat (1.1 + 2.2); until (1 < 2)",3.3), test_t("repeat 1.1234; 1 < 2; 1.1 + 2.2 until (1 < 2)",3.3), test_t("repeat 1.1234; 1 < 2; (1.1 + 2.2) until (1 < 2)",3.3), test_t("repeat 1.1234; 1 < 2; 1.1 + 2.2; until (1 < 2)",3.3), test_t("repeat 1.1234; 1 < 2; (1.1 + 2.2); until (1 < 2)",3.3), test_t("[*] { case 1 < 2 : 1 / 2; case (1 < 3) : 2 / 2; case 1 < 4 : 3 / 2; case (1 < 5) : 4 / 2; }",2.0), test_t(" 0 ? 1 : 2",2.0), test_t(" 1 ? 3 : 4",3.0), test_t("(0 ? 1 : 2) == 2",1.0), test_t("(1 ? 3 : 4) == 3",1.0), test_t("[(0)] ? [(1)] : [(2)]",2.0), test_t("([(0)] ? [(1)] : [(2)]) == 2",1.0), test_t("([(1)] ? [(3)] : [(4)]) == 3",1.0), test_t("(1 < 2 ? 3 : 4) == 3",1.0), test_t("(1 > 2 ? 3 : 4) == 4",1.0), test_t("(1 < 2 ? 3 + 5 : 4) == 8",1.0), test_t("(1 > 2 ? 3 : 4 + 5) == 9",1.0), test_t("(2 < 3 + 3 ? 7 : 9) == 7",1.0), test_t("(1 + 1 < 3 ? 7 : 9) == 7",1.0), test_t("(1 + 1 < 3 + 3 ? 7 : 9) == 7",1.0), test_t("(2 > 3 + 3 ? 7 : 9) == 9",1.0), test_t("(1 + 1 > 3 ? 7 : 9) == 9",1.0), test_t("(1 + 1 > 3 + 3 ? 7 : 9) == 9",1.0), test_t("(2 < (3 + 3) ? 7 : 9) == 7",1.0), test_t("((1 + 1) < 3 ? 7 : 9) == 7",1.0), test_t("((1 + 1) < (3 + 3) ? 7 : 9) == 7",1.0), test_t("(min(1,2) ? 1 + 3 : 1 + 4) == 4",1.0), test_t("(min(0,1) ? 1 + 3 : 1 + 4) == 5",1.0), test_t("if(1 < 2) 3; == 3",1.0), test_t("if(1 > 2) 3; == null",1.0), test_t("if(1 < 2) 3; else 4; == 3",1.0), test_t("if(1 > 2) 3; else 4; == 4",1.0), test_t("if(1 < 2) 3; else {1+2; 4;} == 3",1.0), test_t("if(1 > 2) 3; else {1+2; 4;} == 4",1.0), test_t("if(1 < 2) 3; else if (1 < 2) 4; == 3",1.0), test_t("if(1 > 2) 3; else if (1 < 2) 4; == 4",1.0), test_t("if(1 > 2) 3; else if (1 > 2) 4; == null",1.0), test_t("if(1 < 2) 3; else if (1 < 2) {1+2; 4;} == 3",1.0), test_t("if(1 > 2) 3; else if (1 < 2) {1+2; 4;} == 4",1.0), test_t("if(1 > 2) 3; else if (1 > 2) {1+2; 4;} == null",1.0), test_t("if(1 < 2) { 1+2; 3;} == 3",1.0), test_t("if(1 > 2) { 1+2; 3;} == null",1.0), test_t("if(1 < 2) { 1+2; 3;} else 4; == 3",1.0), test_t("if(1 > 2) { 1+2; 3;} else 4; == 4",1.0), test_t("if(1 < 2) { 1+2; 3;} else {1+2; 4;} == 3",1.0), test_t("if(1 > 2) { 1+2; 3;} else {1+2; 4;} == 4",1.0), test_t("if(1 < 2) { 1+2; 3;} else if (1 < 2) 4; == 3",1.0), test_t("if(1 > 2) { 1+2; 3;} else if (1 < 2) 4; == 4",1.0), test_t("if(1 > 2) { 1+2; 3;} else if (1 > 2) 4; == null",1.0), test_t("if(1 < 2) { 1+2; 3;} else if (1 < 2) {1+2; 4;} == 3",1.0), test_t("if(1 > 2) { 1+2; 3;} else if (1 < 2) {1+2; 4;} == 4",1.0), test_t("if(1 > 2) { 1+2; 3;} else if (1 > 2) {1+2; 4;} == null",1.0) }; static const std::size_t test_list_size = sizeof(test_list) / sizeof(test_t); template inline bool not_equal_impl(const T& t1, const T& t2, const T& epsilon = 0.0000000001/*std::numeric_limits::epsilon()*/) { if (t1 != t1) return true; if (t2 != t2) return true; T diff = std::abs(t1 - t2); T eps_norm = (std::max(T(1),std::max(std::abs(t1),std::abs(t2))) * epsilon); return diff > eps_norm; } template inline bool not_equal(const T& t0, const T& t1, const T& epsilon = T(0.0000000001)) { return not_equal_impl(t0,t1,epsilon); } inline bool not_equal(const float& t0, const float& t1, const float& epsilon = 0.000001f) { return not_equal_impl(t0,t1,epsilon); } template inline bool test_expression(const std::string& expression_string, const T& expected_result) { exprtk::symbol_table symbol_table; symbol_table.add_constants(); exprtk::polynomial poly01; exprtk::polynomial poly02; exprtk::polynomial poly03; exprtk::polynomial poly04; exprtk::polynomial poly05; exprtk::polynomial poly06; exprtk::polynomial poly07; exprtk::polynomial poly08; exprtk::polynomial poly09; exprtk::polynomial poly10; exprtk::polynomial poly11; exprtk::polynomial poly12; symbol_table.add_function("poly01", poly01); symbol_table.add_function("poly02", poly02); symbol_table.add_function("poly03", poly03); symbol_table.add_function("poly04", poly04); symbol_table.add_function("poly05", poly05); symbol_table.add_function("poly06", poly06); symbol_table.add_function("poly07", poly07); symbol_table.add_function("poly08", poly08); symbol_table.add_function("poly09", poly09); symbol_table.add_function("poly10", poly10); symbol_table.add_function("poly11", poly11); symbol_table.add_function("poly12", poly12); exprtk::expression expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("test_expression() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } if (!exprtk::expression_helper::is_constant(expression)) { printf("test_expression() - Error: Expression did not compile to a constant! Expression: %s\n", expression_string.c_str()); return false; } T result = expression.value(); if (not_equal(result,expected_result)) { printf("test_expression() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", expression_string.c_str(), (double)expected_result, (double)result); return false; } return true; } template inline bool run_test00() { const std::size_t rounds = 10; for (std::size_t r = 0; r < rounds; ++r) { bool result = true; for (std::size_t i = 0; i < test_list_size; ++i) { if (!test_expression(test_list[i].first,T(test_list[i].second))) { result = false; } } if (!result) return false; } return true; } template struct test_xy { test_xy(std::string e, const T& v0, const T& v1, const T& r) : expr(e), x(v0), y(v1), result(r) {} std::string expr; T x; T y; T result; }; template struct test_xyzw { test_xyzw(std::string e, const T& v0, const T& v1, const T& v2, const T& v3, const T& r) : expr(e), x(v0), y(v1), z(v2), w(v3), result(r) {} std::string expr; T x; T y; T z; T w; T result; }; template inline bool run_test01() { { static const test_xy test_list[] = { test_xy("x + y" ,T(2.2),T(3.3),T(5.5 )), test_xy("x - y" ,T(3.3),T(2.2),T(1.1 )), test_xy("x * y" ,T(3.3),T(2.2),T(7.26 )), test_xy("x / y" ,T(3.3),T(2.2),T(1.5 )), test_xy("(x + y) * (x + y)" ,T(2.2),T(3.3),T(30.25)), test_xy("(x + y) / (x + y)" ,T(2.2),T(3.3),T(1.0 )), test_xy("x + y > x and x + y > y" ,T(2.2),T(3.3),T(1.0)), test_xy("1 + (x + y)" ,T(2.2),T(3.3),T(6.5 )), test_xy("(x + y) - 1" ,T(2.2),T(3.3),T(4.5 )), test_xy("1 + (x + y) * 2" ,T(2.2),T(3.3),T(12.0 )), test_xy("2 * (x + y) - 1" ,T(2.2),T(3.3),T(10.0 )), test_xy("y + (x + 1)" ,T(2.2),T(3.3),T(6.5 )), test_xy("(x + 1) + y" ,T(2.2),T(3.3),T(6.5 )), test_xy("2 * x" ,T(2.2),T(0.0),T(4.4)), test_xy("x * 2" ,T(2.2),T(0.0),T(4.4)), test_xy("1.1 + x",T(2.2),T(0.0),T(3.3)), test_xy("x + 1.1",T(2.2),T(0.0),T(3.3)), test_xy("x * 1 == x" ,T(2.0),T(3.0),T(1.0)), test_xy("1 * x == x" ,T(2.0),T(3.0),T(1.0)), test_xy("y * 1 == y" ,T(2.0),T(3.0),T(1.0)), test_xy("1 * y == y" ,T(2.0),T(3.0),T(1.0)), test_xy("x * 0 == 0" ,T(2.0),T(3.0),T(1.0)), test_xy("0 * x == 0" ,T(2.0),T(3.0),T(1.0)), test_xy("y * 0 == 0" ,T(2.0),T(3.0),T(1.0)), test_xy("0 * y == 0" ,T(2.0),T(3.0),T(1.0)), test_xy("x + 1 == 1 + x",T(2.0),T(3.0),T(1.0)), test_xy("y + 1 == 1 + y",T(2.0),T(3.0),T(1.0)), test_xy("x + y == y + x",T(2.0),T(3.0),T(1.0)), test_xy("x * y == y * x",T(2.0),T(3.0),T(1.0)), test_xy("x < y" ,T(2.0),T(3.0),T(1.0)), test_xy("y > x" ,T(2.0),T(3.0),T(1.0)), test_xy("x <= y" ,T(2.0),T(3.0),T(1.0)), test_xy("y >= x" ,T(2.0),T(3.0),T(1.0)), test_xy("x + y > y" ,T(2.0),T(3.0),T(1.0)), test_xy("x + y > x" ,T(2.0),T(3.0),T(1.0)), test_xy("x * y > y" ,T(2.0),T(3.0),T(1.0)), test_xy("x * y > x" ,T(2.0),T(3.0),T(1.0)), test_xy("(x + y) > y" ,T(2.0),T(3.0),T(1.0)), test_xy("(x + y) > x" ,T(2.0),T(3.0),T(1.0)), test_xy("(x * y) > y" ,T(2.0),T(3.0),T(1.0)), test_xy("(x * y) > x" ,T(2.0),T(3.0),T(1.0)), test_xy("(2x + 3y) == (2*x + 3*y)" ,T(2.0),T(3.0),T(1.0)), test_xy("2(x + y) == (2*x + 2*y)" ,T(2.0),T(3.0),T(1.0)), test_xy(" (x + y)3 == (3*x + 3*y)" ,T(2.0),T(3.0),T(1.0)), test_xy("2x + 3y == 2*x + 3*y" ,T(2.0),T(3.0),T(1.0)), test_xy("2(x + y) == 2*x + 2*y" ,T(2.0),T(3.0),T(1.0)), test_xy(" (x + y)3 == 3*x + 3*y" ,T(2.0),T(3.0),T(1.0)), test_xy("equal(x^2.2^1.1,17.15193942371376191362)" ,T(3.3),T(0.0),T(1.0)), test_xy("equal(3.3^x^1.1,17.15193942371376191362)" ,T(2.2),T(0.0),T(1.0)), test_xy("equal(3.3^2.2^x,17.15193942371376191362)" ,T(1.1),T(0.0),T(1.0)), test_xy("equal(x^2.2^y,17.15193942371376191362)" ,T(3.3),T(1.1),T(1.0)), test_xy("equal(x^y^1.1,17.15193942371376191362)" ,T(3.3),T(2.2),T(1.0)), test_xy("equal(3.3^x^y,17.15193942371376191362)" ,T(2.2),T(1.1),T(1.0)), test_xy("equal(x+y^3/7,x+(y*y*y)/7)",T(2.0),T(3.0),T(1.0)), test_xy("equal(1-x^3+y^2*7,1-(x*x*x)+(y*y)*7)",T(2.0),T(3.0),T(1.0)), test_xy("equal( x^0,1)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^1,x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^2,x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^3,x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^4,x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^5,x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^6,x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^7,x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^8,x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^9,x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^10,x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^11,x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^12,x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^13,x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^14,x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^15,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^16,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^17,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^18,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^19,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^20,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^21,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^22,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^23,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^24,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^25,x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x)",T(12.34),T(0.0),T(1.0)), test_xy("equal( y^0,1)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^1,y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^2,y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^3,y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^4,y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^5,y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^6,y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^7,y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^8,y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^9,y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^10,y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^11,y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^12,y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^13,y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^14,y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^15,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^16,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^17,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^18,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^19,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^20,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^21,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^22,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^23,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^24,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^25,y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y)",T(0.0),T(12.34),T(1.0)), test_xy("equal( x^-0,1/1)",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-1,1/(x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-2,1/(x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-3,1/(x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-4,1/(x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-5,1/(x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-6,1/(x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-7,1/(x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-8,1/(x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( x^-9,1/(x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-10,1/(x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-11,1/(x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-12,1/(x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-13,1/(x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-14,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-15,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-16,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-17,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-18,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-19,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-20,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-21,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-22,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-23,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-24,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal(x^-25,1/(x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x*x))",T(12.34),T(0.0),T(1.0)), test_xy("equal( y^-0,1/1)",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-1,1/(y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-2,1/(y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-3,1/(y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-4,1/(y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-5,1/(y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-6,1/(y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-7,1/(y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-8,1/(y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal( y^-9,1/(y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-10,1/(y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-11,1/(y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-12,1/(y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-13,1/(y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-14,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-15,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-16,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-17,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-18,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-19,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-20,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-21,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-22,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-23,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-24,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("equal(y^-25,1/(y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y))",T(0.0),T(12.34),T(1.0)), test_xy("(2 + x) + 7",T(3.0),T(0.0),T((2.0 + 3.0) + 7.0)), test_xy("(2 + x) - 7",T(3.0),T(0.0),T((2.0 + 3.0) - 7.0)), test_xy("(2 - x) + 7",T(3.0),T(0.0),T((2.0 - 3.0) + 7.0)), test_xy("(2 - x) - 7",T(3.0),T(0.0),T((2.0 - 3.0) - 7.0)), test_xy("(2 * x) * 7",T(3.0),T(0.0),T((2.0 * 3.0) * 7.0)), test_xy("(2 * x) / 7",T(3.0),T(0.0),T((2.0 * 3.0) / 7.0)), test_xy("(2 / x) * 7",T(3.0),T(0.0),T((2.0 / 3.0) * 7.0)), test_xy("(2 / x) / 7",T(3.0),T(0.0),T((2.0 / 3.0) / 7.0)), test_xy("2 + (x + 7)",T(3.0),T(0.0),T(2.0 + (3.0 + 7.0))), test_xy("2 + (x - 7)",T(3.0),T(0.0),T(2.0 + (3.0 - 7.0))), test_xy("2 - (x + 7)",T(3.0),T(0.0),T(2.0 - (3.0 + 7.0))), test_xy("2 - (x - 7)",T(3.0),T(0.0),T(2.0 - (3.0 - 7.0))), test_xy("2 * (x * 7)",T(3.0),T(0.0),T(2.0 * (3.0 * 7.0))), test_xy("2 * (x / 7)",T(3.0),T(0.0),T(2.0 * (3.0 / 7.0))), test_xy("2 / (x * 7)",T(3.0),T(0.0),T(2.0 / (3.0 * 7.0))), test_xy("2 / (x / 7)",T(3.0),T(0.0),T(2.0 / (3.0 / 7.0))), test_xy("2 + (7 + x)",T(3.0),T(0.0),T(2.0 + (7.0 + 3.0))), test_xy("2 + (7 - x)",T(3.0),T(0.0),T(2.0 + (7.0 - 3.0))), test_xy("2 - (7 + x)",T(3.0),T(0.0),T(2.0 - (7.0 + 3.0))), test_xy("2 - (7 - x)",T(3.0),T(0.0),T(2.0 - (7.0 - 3.0))), test_xy("2 * (7 * x)",T(3.0),T(0.0),T(2.0 * (7.0 * 3.0))), test_xy("2 * (7 / x)",T(3.0),T(0.0),T(2.0 * (7.0 / 3.0))), test_xy("2 / (7 * x)",T(3.0),T(0.0),T(2.0 / (7.0 * 3.0))), test_xy("2 / (7 / x)",T(3.0),T(0.0),T(2.0 / (7.0 / 3.0))), test_xy("(x + 2) + 7",T(3.0),T(0.0),T((3.0 + 2.0) + 7.0)), test_xy("(x + 2) - 7",T(3.0),T(0.0),T((3.0 + 2.0) - 7.0)), test_xy("(x - 2) + 7",T(3.0),T(0.0),T((3.0 - 2.0) + 7.0)), test_xy("(x - 2) - 7",T(3.0),T(0.0),T((3.0 - 2.0) - 7.0)), test_xy("(x * 2) * 7",T(3.0),T(0.0),T((3.0 * 2.0) * 7.0)), test_xy("(x * 2) / 7",T(3.0),T(0.0),T((3.0 * 2.0) / 7.0)), test_xy("(x / 2) * 7",T(3.0),T(0.0),T((3.0 / 2.0) * 7.0)), test_xy("(x / 2) / 7",T(3.0),T(0.0),T((3.0 / 2.0) / 7.0)), test_xy("((2 + x) + (3 + y))",T(7.0),T(9.0),T(((2.0 + 7.0) + (3.0 + 9.0)))), test_xy("((2 + x) - (3 + y))",T(7.0),T(9.0),T(((2.0 + 7.0) - (3.0 + 9.0)))), test_xy("((2 - x) - (3 - y))",T(7.0),T(9.0),T(((2.0 - 7.0) - (3.0 - 9.0)))), test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), test_xy("((x + 2) + (y + 3))",T(7.0),T(9.0),T(((7.0 + 2.0) + (9.0 + 3.0)))), test_xy("((x + 2) - (y + 3))",T(7.0),T(9.0),T(((7.0 + 2.0) - (9.0 + 3.0)))), test_xy("((x - 2) - (y - 3))",T(7.0),T(9.0),T(((7.0 - 2.0) - (9.0 - 3.0)))), test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), test_xy("((2 + x) + (y + 3))",T(7.0),T(9.0),T(((2.0 + 7.0) + (9.0 + 3.0)))), test_xy("((2 + x) - (y + 3))",T(7.0),T(9.0),T(((2.0 + 7.0) - (9.0 + 3.0)))), test_xy("((2 - x) - (y - 3))",T(7.0),T(9.0),T(((2.0 - 7.0) - (9.0 - 3.0)))), test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), test_xy("((x + 2) + (3 + y))",T(7.0),T(9.0),T(((7.0 + 2.0) + (3.0 + 9.0)))), test_xy("((x + 2) - (3 + y))",T(7.0),T(9.0),T(((7.0 + 2.0) - (3.0 + 9.0)))), test_xy("((x - 2) - (3 - y))",T(7.0),T(9.0),T(((7.0 - 2.0) - (3.0 - 9.0)))), test_xy("((2 * x) * (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) * (3.0 * 9.0)))), test_xy("((2 * x) / (3 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) / (3.0 * 9.0)))), test_xy("((2 / x) * (3 / y))",T(7.0),T(9.0),T(((2.0 / 7.0) * (3.0 / 9.0)))), test_xy("((2 * x) / (3 / y))",T(7.0),T(9.0),T(((2.0 * 7.0) / (3.0 / 9.0)))), test_xy("((2 / x) / (3 * y))",T(7.0),T(9.0),T(((2.0 / 7.0) / (3.0 * 9.0)))), test_xy("((x * 2) / (y * 3))",T(7.0),T(9.0),T(((7.0 * 2.0) / (9.0 * 3.0)))), test_xy("((x / 2) * (y / 3))",T(7.0),T(9.0),T(((7.0 / 2.0) * (9.0 / 3.0)))), test_xy("((x * 2) / (y / 3))",T(7.0),T(9.0),T(((7.0 * 2.0) / (9.0 / 3.0)))), test_xy("((x / 2) / (y * 3))",T(7.0),T(9.0),T(((7.0 / 2.0) / (9.0 * 3.0)))), test_xy("((2 * x) / (y * 3))",T(7.0),T(9.0),T(((2.0 * 7.0) / (9.0 * 3.0)))), test_xy("((2 / x) * (y / 3))",T(7.0),T(9.0),T(((2.0 / 7.0) * (9.0 / 3.0)))), test_xy("((2 * x) / (y / 3))",T(7.0),T(9.0),T(((2.0 * 7.0) / (9.0 / 3.0)))), test_xy("((2 / x) / (y * 3))",T(7.0),T(9.0),T(((2.0 / 7.0) / (9.0 * 3.0)))), test_xy("((x * 2) / (3 * y))",T(7.0),T(9.0),T(((7.0 * 2.0) / (3.0 * 9.0)))), test_xy("((x / 2) * (3 / y))",T(7.0),T(9.0),T(((7.0 / 2.0) * (3.0 / 9.0)))), test_xy("((x * 2) / (3 / y))",T(7.0),T(9.0),T(((7.0 * 2.0) / (3.0 / 9.0)))), test_xy("((x / 2) / (3 * y))",T(7.0),T(9.0),T(((7.0 / 2.0) / (3.0 * 9.0)))), test_xy("([(min(x,8) + y) + 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) - 4.0))), test_xy("([(min(x,8) + y) + 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) + 4.0))), test_xy("([(min(x,8) + y) + 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) * 4.0))), test_xy("([(min(x,8) + y) + 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) + 3.0) / 4.0))), test_xy("([(min(x,8) + y) - 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) - 4.0))), test_xy("([(min(x,8) + y) - 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) + 4.0))), test_xy("([(min(x,8) + y) - 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) * 4.0))), test_xy("([(min(x,8) + y) - 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) - 3.0) / 4.0))), test_xy("([(min(x,8) + y) * 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) - 4.0))), test_xy("([(min(x,8) + y) * 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) + 4.0))), test_xy("([(min(x,8) + y) * 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) * 4.0))), test_xy("([(min(x,8) + y) * 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) * 3.0) / 4.0))), test_xy("([(min(x,8) + y) / 3] - 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) - 4.0))), test_xy("([(min(x,8) + y) / 3] + 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) + 4.0))), test_xy("([(min(x,8) + y) / 3] * 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) * 4.0))), test_xy("([(min(x,8) + y) / 3] / 4)",T(7.0),T(9.0),T((((std::min(7.0,8.0) + 9.0) / 3.0) / 4.0))), test_xy("(4 - [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 + (std::min(7.0,8.0) + 9.0))))), test_xy("(4 + [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 + (std::min(7.0,8.0) + 9.0))))), test_xy("(4 * [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 + (std::min(7.0,8.0) + 9.0))))), test_xy("(4 / [3 + (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 + (std::min(7.0,8.0) + 9.0))))), test_xy("(4 - [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 - (std::min(7.0,8.0) + 9.0))))), test_xy("(4 + [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 - (std::min(7.0,8.0) + 9.0))))), test_xy("(4 * [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 - (std::min(7.0,8.0) + 9.0))))), test_xy("(4 / [3 - (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 - (std::min(7.0,8.0) + 9.0))))), test_xy("(4 - [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 * (std::min(7.0,8.0) + 9.0))))), test_xy("(4 + [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 * (std::min(7.0,8.0) + 9.0))))), test_xy("(4 * [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 * (std::min(7.0,8.0) + 9.0))))), test_xy("(4 / [3 * (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 * (std::min(7.0,8.0) + 9.0))))), test_xy("(4 - [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 - (3.0 / (std::min(7.0,8.0) + 9.0))))), test_xy("(4 + [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 + (3.0 / (std::min(7.0,8.0) + 9.0))))), test_xy("(4 * [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 * (3.0 / (std::min(7.0,8.0) + 9.0))))), test_xy("(4 / [3 / (min(x,8) + y)])",T(7.0),T(9.0),T((4.0 / (3.0 / (std::min(7.0,8.0) + 9.0))))), test_xy("((2 * x) + (2 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) + (2.0 * 9.0)))), test_xy("((2 * x) - (2 * y))",T(7.0),T(9.0),T(((2.0 * 7.0) - (2.0 * 9.0)))), test_xy("((2 * x) + (y * 2))",T(7.0),T(9.0),T(((2.0 * 7.0) + (9.0 * 2.0)))), test_xy("((x * 2) - (y * 2))",T(7.0),T(9.0),T(((7.0 * 2.0) - (9.0 * 2.0)))), test_xy("0 * (abs (x) + acos (y) + asin (x) + atan (y))",T(1.0),T(1.0),T(0.0)), test_xy("0 * (ceil (x) + cos (y) + cosh (x) + exp (y))",T(1.0),T(1.0),T(0.0)), test_xy("0 * (floor(x) + log (y) + log10(x) + round(y))",T(1.0),T(1.0),T(0.0)), test_xy("0 * (sin (x) + sinh (y) + sqrt (x) + tan (y))",T(1.0),T(1.0),T(0.0)), test_xy("0 * (sec (x) + csc (y) + tanh (x) + cot (y))",T(1.0),T(1.0),T(0.0)), test_xy("0 * (erf (x) + erfc (y) + sgn (y) + frac (y))",T(1.0),T(1.0),T(0.0)), test_xy("0 * (log1p(x) + expm1(y) + acosh(x) + asinh(y))",T(1.0),T(1.0),T(0.0)), test_xy("0 * (deg2grad(x) + grad2deg(y) + rad2deg(x) + deg2rad(y))",T(1.0),T(1.0),T(0.0)), test_xy("switch { case (x <= y) : (y - x); default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case (x > y) : 0; case (x <= y) : (y - x); default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case (x <= y) : switch { case (x <= y) : (y - x); default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case [x <= y] : [y - x]; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case [x > y] : 0; case [x <= y] : [y - x]; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case [x <= y] : switch { case [x <= y] : {y - x}; default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case {x <= y} : x; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case {x > y} : 0; case {x <= y} : {y - x}; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case {x <= y} : switch { case {x <= y} : x; default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case [(x <= y)] : {y - x}; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case ([x > y]) : [0]; case ([x <= y]) : [y - x]; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("switch { case {(x <= y)} : switch { case ({x <= y}) : x; default: 1.12345; }; default: 1.12345; }",T(1.0),T(2.0),T(1.0)), test_xy("[*]{ case x < y : x + y; case y < x : y - x; }",T(2.0),T(3.0),T(5.0)), test_xy("[*]{ case x > y : x + y; case y > x : y - x; }",T(2.0),T(3.0),T(1.0)), test_xy("[*]{ case x > y : x - y; case y < x : y + x; }",T(2.0),T(3.0),T(0.0)), test_xy("0 ? x : y" ,T(1.0),T(2.0),T( 2.0)), test_xy("1 ? x : y" ,T(1.0),T(2.0),T( 1.0)), test_xy("x ? x : y" ,T(1.0),T(2.0),T( 1.0)), test_xy("x ? x : y" ,T(0.0),T(2.0),T( 2.0)), test_xy("(x + y < 4) ? 1 : 2" ,T(1.0),T(2.0),T( 1.0)), test_xy("(x + y > 4) ? 1 : 2" ,T(1.0),T(2.0),T( 2.0)), test_xy("x < y ? x + y : x - y" ,T(1.0),T(2.0),T( 3.0)), test_xy("x > y ? x + y : x - y" ,T(1.0),T(2.0),T(-1.0)), test_xy("(x + x < y ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), test_xy("(x + x < y + y ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), test_xy("(x > y + y ? 7 : 9) == 9" ,T(1.0),T(3.0),T( 1.0)), test_xy("(x + x > y ? 7 : 9) == 9" ,T(1.0),T(3.0),T( 1.0)), test_xy("(x + x > y + 3 ? 7 : 9) == 9" ,T(1.0),T(3.0),T( 1.0)), test_xy("(x < (y + y) ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), test_xy("((x + x) < y ? 7 : 9) == 7" ,T(1.0),T(3.0),T( 1.0)), test_xy("((x + x) < (y + y) ? 7 : 9) == 7",T(1.0),T(3.0),T( 1.0)), test_xy("(x += 2 ) == 3 " ,T(1),T(3),T(1)), test_xy("(x += 2y) == 7 " ,T(1),T(3),T(1)), test_xy("(x -= 2 ) == -1 " ,T(1),T(3),T(1)), test_xy("(x -= 2y) == -5 " ,T(1),T(3),T(1)), test_xy("(x *= 2 ) == 2 " ,T(1),T(3),T(1)), test_xy("(x *= 2y) == 6 " ,T(1),T(3),T(1)), test_xy("(x /= 2 ) == (1/2)" ,T(1),T(3),T(1)), test_xy("(x /= 2y) == (1/6)" ,T(1),T(3),T(1)), test_xy("for(i := 0; (i < 10);) { i += 1; }; x;" ,T(1),T(20),T( 1)), test_xy("for(i := 0; (i < 10) and (i != y); i+=2) { x += i; }; x;" ,T(1),T(20),T(21)), test_xy("for(i := 0; (i < 10) and (i != y);) { x += i; i+=2; }; x;",T(1),T(20),T(21)), test_xy("for(i := 0; (i < y); i += 1) { if (i <= (y / 2)) x += i; else break; }; x;" ,T(0),T(10),T(15)), test_xy("for(i := 0; (i < y); i += 1) { if (i <= (y / 2)) continue; else x += i; }; x;" ,T(0),T(10),T(30)) }; static const std::size_t test_list_size = sizeof(test_list) / sizeof(test_xy); const std::size_t rounds = 60; for (std::size_t r = 0; r < rounds; ++r) { bool loop_result = true; for (std::size_t i = 0; i < test_list_size; ++i) { test_xy& test = const_cast&>(test_list[i]); T x = test.x; T y = test.y; exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); exprtk::expression expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(test.expr,expression)) { printf("run_test01() - Error: %s Expression: %s\n", parser.error().c_str(), test.expr.c_str()); loop_result = false; continue; } } T result = expression.value(); if (not_equal(result,test.result)) { printf("run_test01() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", test.expr.c_str(), (double)test.result, (double)result); loop_result = false; } } if (!loop_result) { return false; } } } { static const test_xyzw test_list[] = { test_xyzw("((x / y) / z )",T(7.0),T(9.0),T(3.0),T(0.0),T(((7.0 / 9.0) / 3.0 ))), test_xyzw("((x / y) / 2 )",T(7.0),T(9.0),T(3.0),T(0.0),T(((7.0 / 9.0) / 2.0 ))), test_xyzw("((x / 2) / y )",T(7.0),T(9.0),T(3.0),T(0.0),T(((7.0 / 2.0) / 9.0 ))), test_xyzw("((2 / x) / y )",T(7.0),T(9.0),T(3.0),T(0.0),T(((2.0 / 7.0) / 9.0 ))), test_xyzw("( x / (y / z))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 7.0 / (9.0 / 3.0)))), test_xyzw("( x / (y / 2))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 7.0 / (9.0 / 2.0)))), test_xyzw("( x / (2 / y))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 7.0 / (2.0 / 9.0)))), test_xyzw("( 2 / (x / y))",T(7.0),T(9.0),T(3.0),T(0.0),T(( 2.0 / (7.0 / 9.0)))), test_xyzw("([(min(x,y) + z) + 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) - 4.0))), test_xyzw("([(min(x,y) + z) + 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) + 4.0))), test_xyzw("([(min(x,y) + z) + 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) * 4.0))), test_xyzw("([(min(x,y) + z) + 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) + 3.0) / 4.0))), test_xyzw("([(min(x,y) + z) - 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) - 4.0))), test_xyzw("([(min(x,y) + z) - 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) + 4.0))), test_xyzw("([(min(x,y) + z) - 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) * 4.0))), test_xyzw("([(min(x,y) + z) - 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) - 3.0) / 4.0))), test_xyzw("([(min(x,y) + z) * 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) - 4.0))), test_xyzw("([(min(x,y) + z) * 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) + 4.0))), test_xyzw("([(min(x,y) + z) * 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) * 4.0))), test_xyzw("([(min(x,y) + z) * 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) * 3.0) / 4.0))), test_xyzw("([(min(x,y) + z) / 3] - 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) - 4.0))), test_xyzw("([(min(x,y) + z) / 3] + 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) + 4.0))), test_xyzw("([(min(x,y) + z) / 3] * 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) * 4.0))), test_xyzw("([(min(x,y) + z) / 3] / 4)",T(5.0),T(7.0),T(9.0),T(0.0),T((((std::min(5.0,7.0) + 9.0) / 3.0) / 4.0))), test_xyzw("(4 - [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 + (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 + [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 + (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 * [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 + (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 / [3 + (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 + (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 - [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 - (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 + [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 - (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 * [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 - (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 / [3 - (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 - (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 - [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 * (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 + [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 * (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 * [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 * (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 / [3 * (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 * (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 - [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 - (3.0 / (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 + [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 + (3.0 / (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 * [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 * (3.0 / (std::min(5.0,7.0) + 9.0))))), test_xyzw("(4 / [3 / (min(x,y) + z)])",T(5.0),T(7.0),T(9.0),T(0.0),T((4.0 / (3.0 / (std::min(5.0,7.0) + 9.0))))), test_xyzw("if(x < y) { z+2; z;} == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x > y) { z+2; z;} == null" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x < y) { z+2; z;} else w; == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x > y) { z+2; z;} else 1 + w; == (w + 1)" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x < y) { z+2; z;} else {1+2; w;} == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x > y) { z+2; z;} else {1+2; w;} == w" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x < y) { z+2; z;} else if (x < y) w; == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x > y) { z+2; z;} else if (x < y) 1 + w; == w + 1" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x > y) { z+2; z;} else if (x > y) w; == null" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x < y) { z+2; z;} else if (x < y) {w+2; w;} == z" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x > y) { z+2; z;} else if (x < y) {w+2; w;} == w" ,T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)), test_xyzw("if(x > y) { z+2; z;} else if (x > y) {w+2; w;} == null",T(1.0),T(2.0),T(3.0),T(4.0),T(1.0)) }; static const std::size_t test_list_size = sizeof(test_list) / sizeof(test_xyzw); const std::size_t rounds = 60; for (std::size_t r = 0; r < rounds; ++r) { bool loop_result = true; for (std::size_t i = 0; i < test_list_size; ++i) { test_xyzw& test = const_cast&>(test_list[i]); exprtk::symbol_table symbol_table; symbol_table.add_variable("x",test.x); symbol_table.add_variable("y",test.y); symbol_table.add_variable("z",test.z); symbol_table.add_variable("w",test.w); exprtk::expression expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(test.expr,expression)) { printf("run_test01() - Error: %s Expression: %s\n", parser.error().c_str(), test.expr.c_str()); loop_result = false; continue; } } T result = expression.value(); if (not_equal(result,test.result)) { printf("run_test01() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", test.expr.c_str(), (double)test.result, (double)result); loop_result = false; } } if (!loop_result) { return false; } } } { const std::string expr_list[] = { "((v[1] + x) == (x + v[1]))", "((v[0] += x) == x)", "((v[0] += x + y) == (x + y))", "((v[0] -= x) == -x)", "((v[0] -= (x + y)) == -(x + y))", "((v[1] + v[2]) == (v[3 - 1] + v[2 * 1/2]))", "(v[v[1]] == v[1])", "(v[1] += v[1]) == v[1 + 1]", "((v[i[1]] + x) == (x + v[i[1]]))", "((v[i[0]] += x) == x)", "((v[i[0]] += x + y) == (x + y))", "((v[i[0]] -= x) == -x)", "((v[i[0]] -= (x + y)) == -(x + y))", "((v[i[1]] + v[2]) == (v[i[3] - i[1]] + v[i[2] * 1/2]))", "(v[v[i[1]]] == v[i[1]])", "(v[i[1]] += v[i[1]]) == v[i[1] + 1]" }; const std::size_t expr_list_size = sizeof(expr_list) / sizeof(std::string); const std::size_t rounds = 60; for (std::size_t r = 0; r < rounds; ++r) { bool loop_result = true; for (std::size_t i = 0; i < expr_list_size; ++i) { T v[] = { T(0.0), T(1.1), T(2.2), T(3.3), T(4.4), T(5.5) }; T index[] = { T(0) , T(1) , T(2) , T(3) , T(4) , T(5) }; T x = T(6.6); T y = T(7.7); T z = T(8.8); exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); symbol_table.add_vector ("v",v); symbol_table.add_vector ("i",index); exprtk::expression expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expr_list[i],expression)) { printf("run_test01() - Error: %s Expression: %s\n", parser.error().c_str(), expr_list[i].c_str()); loop_result = false; continue; } } T result = expression.value(); if (not_equal(result,T(1))) { printf("run_test01() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", expr_list[i].c_str(), (double)1.0, (double)result); loop_result = false; } } if (!loop_result) { return false; } } } return true; } template struct test_ab { test_ab(std::string e, const std::string& v0, const std::string& v1, const T& r) : expr(e), a(v0), b(v1), c("ccc"), result(r) {} std::string expr; std::string a; std::string b; std::string c; T result; }; template inline bool run_test02() { static const test_ab test_list[] = { test_ab("'aaa' == 'aaa'" ,"","",T(1.0)), test_ab("'aaa' < 'bbb'" ,"","",T(1.0)), test_ab("'aaa' <= 'bbb'" ,"","",T(1.0)), test_ab("'bbb' > 'aaa'" ,"","",T(1.0)), test_ab("'bbb' >= 'aaa'" ,"","",T(1.0)), test_ab("'aaa' != 'aaa'" ,"","",T(0.0)), test_ab("'aaa' != 'bbb'" ,"","",T(1.0)), test_ab("'aaa' + '123' == 'aaa123'" ,"","",T(1.0)), test_ab("'aaa123' == 'aaa' + '123'" ,"","",T(1.0)), test_ab("('aaa' + '123') == 'aaa123'" ,"","",T(1.0)), test_ab("'aaa123' == ('aaa' + '123')" ,"","",T(1.0)), test_ab("'aaa' in 'aaa123'" ,"","",T(1.0)), test_ab("'123' in 'aaa123'" ,"","",T(1.0)), test_ab("'a123b' like '*123*'" ,"","",T(1.0)), test_ab("'a123b' like '*123?'" ,"","",T(1.0)), test_ab("'1XYZ2' ilike '*xyz*'" ,"","",T(1.0)), test_ab("'1XYZ2' ilike '*xyz?'" ,"","",T(1.0)), test_ab("inrange('aaa','bbb','ccc')" ,"","",T(1.0)), test_ab("a == b" ,"aaa","aaa",T(1.0)), test_ab("a != b" ,"aaa","bbb",T(1.0)), test_ab("a < b" ,"aaa","bbb",T(1.0)), test_ab("a <= b" ,"aaa","bbb",T(1.0)), test_ab("b > a" ,"aaa","bbb",T(1.0)), test_ab("b >= a" ,"aaa","bbb",T(1.0)), test_ab("a in b" ,"aaa","aaa123",T(1.0)), test_ab("a in b" ,"123","aaa123",T(1.0)), test_ab("a == 'aaa'" ,"aaa","aaa",T(1.0)), test_ab("'aaa' == a" ,"aaa","aaa",T(1.0)), test_ab("a != 'bbb'" ,"aaa","bbb",T(1.0)), test_ab("'bbb' != a" ,"aaa","bbb",T(1.0)), test_ab("a < 'bbb'" ,"aaa","bbb",T(1.0)), test_ab("a <= 'bbb'" ,"aaa","bbb",T(1.0)), test_ab("'bbb' > a" ,"aaa","bbb",T(1.0)), test_ab("'bbb' >= a" ,"aaa","bbb",T(1.0)), test_ab("a in 'aaa123'" ,"aaa","aaa123",T(1.0)), test_ab("a in 'aaa123'" ,"123","aaa123",T(1.0)), test_ab("'aaa' in b" ,"aaa","aaa123",T(1.0)), test_ab("'123' in b" ,"aaa","aaa123",T(1.0)), test_ab("(a < b) or (a == b)" ,"aaa","bbb",T(1.0)), test_ab("(a == b) or (a < b)" ,"aaa","bbb",T(1.0)), test_ab("(b > a) or (b == a)" ,"aaa","bbb",T(1.0)), test_ab("(b == a) or (b > a)" ,"aaa","bbb",T(1.0)), test_ab("(a < b) and (b > a)" ,"aaa","bbb",T(1.0)), test_ab("a like '*123*'" ,"a123b","",T(1.0)), test_ab("a like '*123?'" ,"a123b","",T(1.0)), test_ab("'a123b' like b" ,"a123b","*123*",T(1.0)), test_ab("'a123b' like b" ,"a123b","*123?",T(1.0)), test_ab("a ilike '*xyz*'" ,"1XYZ2","",T(1.0)), test_ab("a ilike '*xyz?'" ,"1XYZ2","",T(1.0)), test_ab("'1XYZ2' ilike b" ,"","*xyz*",T(1.0)), test_ab("'1XYZ2' ilike b" ,"","*xyz?",T(1.0)), test_ab("inrange(a,'bbb',c)" ,"aaa","bbb",T(1.0)), test_ab("inrange('aaa',b,'ccc')" ,"aaa","bbb",T(1.0)), test_ab("inrange(a,b,c)" ,"aaa","bbb",T(1.0)), test_ab("inrange(a,b,'ccc')" ,"aaa","bbb",T(1.0)), test_ab("inrange('aaa',b,c)" ,"aaa","bbb",T(1.0)), test_ab("inrange('aaa',b,c)" ,"aaa","bbb",T(1.0)), test_ab("'01234567890123456789'[0:9] == '0123456789' ","","",T(1.0)), test_ab("'01234567890123456789'[0:9] == '0123456789'[:] ","","",T(1.0)), test_ab("'01234567890123456789'[0:9] == '0123456789'[0:]","","",T(1.0)), test_ab("'01234567890123456789'[0:9] == '0123456789'[:9]","","",T(1.0)), test_ab("'01234567890123456789'[:9] == '0123456789'[:9]","","",T(1.0)), test_ab("'01234567890123456789'[10:] == '0123456789'[:] ","","",T(1.0)), test_ab("'01234567890123456789'[0:9] != '123456789' ","","",T(1.0)), test_ab("'01234567890123456789'[0:9] != '123456789'[:] ","","",T(1.0)), test_ab("'01234567890123456789'[0:9] != '123456789'[0:] ","","",T(1.0)), test_ab("'01234567890123456789'[0:9] != '123456789'[:8] ","","",T(1.0)), test_ab("'01234567890123456789'[:9] != '123456789'[:8] ","","",T(1.0)), test_ab("'01234567890123456789'[10:] != '123456789'[:] ","","",T(1.0)), test_ab("'01234567890123456789'[2*6:10+6] == '23456' ","","",T(1.0)), test_ab("'0123456789' == '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'0123456789'[:] == '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'0123456789'[0:] == '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'0123456789'[:9] == '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'0123456789'[:9] == '01234567890123456789'[:9] ","","",T(1.0)), test_ab("'0123456789'[:] == '01234567890123456789'[10:]","","",T(1.0)), test_ab("'0123456789'[3:3] == '3'[:] ","","",T(1.0)), test_ab("'0123456789'[3:3] == '3'[0:0] ","","",T(1.0)), test_ab("'123456789' != '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'123456789'[:] != '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'123456789'[0:] != '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'123456789'[:8] != '01234567890123456789'[0:9]","","",T(1.0)), test_ab("'123456789'[:8] != '01234567890123456789'[:9] ","","",T(1.0)), test_ab("'123456789'[:] != '01234567890123456789'[10:]","","",T(1.0)), test_ab("'23456' == '01234567890123456789'[2*6:10+6] ","","",T(1.0)), test_ab("'01234567890123456789'[r0: 6] == '23456' ","","",T(1.0)), test_ab("'01234567890123456789'[2: r1] == '23456' ","","",T(1.0)), test_ab("'01234567890123456789'[r0:3*2] == '23456' ","","",T(1.0)), test_ab("'01234567890123456789'[1+1:r1] == '23456' ","","",T(1.0)), test_ab("'01234567890123456789'[r0: ] == '234567890123456789' ","","",T(1.0)), test_ab("'01234567890123456789'[: r1] == '0123456' ","","",T(1.0)), test_ab("'01234567890123456789'[r0:r1] == '23456' ","","",T(1.0)), test_ab("'01234567890123456789'[r0:r1+2] == '2345678' ","","",T(1.0)), test_ab("'01234567890123456789'[r0+2:r1] == '456' ","","",T(1.0)), test_ab("'01234567890123456789'[r1-r0:] == '4567890123456789' ","","",T(1.0)), test_ab("'01234567890123456789'[:r1-r0] == '01234' ","","",T(1.0)), test_ab("'23456' == '01234567890123456789'[r0: 6] ","","",T(1.0)), test_ab("'23456' == '01234567890123456789'[2: r1] ","","",T(1.0)), test_ab("'23456' == '01234567890123456789'[r0:3*2] ","","",T(1.0)), test_ab("'23456' == '01234567890123456789'[1+1:r1] ","","",T(1.0)), test_ab("'234567890123456789' == '01234567890123456789'[r0: ] ","","",T(1.0)), test_ab("'0123456' == '01234567890123456789'[: r1] ","","",T(1.0)), test_ab("'23456' == '01234567890123456789'[r0:r1] ","","",T(1.0)), test_ab("'2345678' == '01234567890123456789'[r0:r1+2] ","","",T(1.0)), test_ab("'456' == '01234567890123456789'[r0+2:r1] ","","",T(1.0)), test_ab("'4567890123456789' == '01234567890123456789'[r1-r0:] ","","",T(1.0)), test_ab("'01234' == '01234567890123456789'[:r1-r0] ","","",T(1.0)), test_ab("a[r0: 6] == '23456' ","01234567890123456789","",T(1.0)), test_ab("a[2: r1] == '23456' ","01234567890123456789","",T(1.0)), test_ab("a[r0:3*2] == '23456' ","01234567890123456789","",T(1.0)), test_ab("a[1+1:r1] == '23456' ","01234567890123456789","",T(1.0)), test_ab("a[r0: ] == '234567890123456789' ","01234567890123456789","",T(1.0)), test_ab("a[: r1] == '0123456' ","01234567890123456789","",T(1.0)), test_ab("a[r0:r1] == '23456' ","01234567890123456789","",T(1.0)), test_ab("a[r0:r1+2] == '2345678' ","01234567890123456789","",T(1.0)), test_ab("a[r0+2:r1] == '456' ","01234567890123456789","",T(1.0)), test_ab("a[r1-r0:] == '4567890123456789' ","01234567890123456789","",T(1.0)), test_ab("a[:r1-r0] == '01234' ","01234567890123456789","",T(1.0)), test_ab("'23456' == a[r0: 6] ","01234567890123456789","",T(1.0)), test_ab("'23456' == a[2: r1] ","01234567890123456789","",T(1.0)), test_ab("'23456' == a[r0:3*2] ","01234567890123456789","",T(1.0)), test_ab("'23456' == a[1+1:r1] ","01234567890123456789","",T(1.0)), test_ab("'234567890123456789' == a[r0: ] ","01234567890123456789","",T(1.0)), test_ab("'0123456' == a[: r1] ","01234567890123456789","",T(1.0)), test_ab("'23456' == a[r0:r1] ","01234567890123456789","",T(1.0)), test_ab("'2345678' == a[r0:r1+2] ","01234567890123456789","",T(1.0)), test_ab("'456' == a[r0+2:r1] ","01234567890123456789","",T(1.0)), test_ab("'4567890123456789' == a[r1-r0:] ","01234567890123456789","",T(1.0)), test_ab("'01234' == a[:r1-r0] ","01234567890123456789","",T(1.0)), test_ab("a[r0: 6] == b ","01234567890123456789","23456",T(1.0)), test_ab("a[2: r1] == b ","01234567890123456789","23456",T(1.0)), test_ab("a[r0:3*2] == b ","01234567890123456789","23456",T(1.0)), test_ab("a[1+1:r1] == b ","01234567890123456789","23456",T(1.0)), test_ab("a[r0: ] == b ","01234567890123456789","234567890123456789",T(1.0)), test_ab("a[: r1] == b ","01234567890123456789","0123456",T(1.0)), test_ab("a[r0:r1] == b ","01234567890123456789","23456",T(1.0)), test_ab("a[r0:r1+2] == b ","01234567890123456789","2345678",T(1.0)), test_ab("a[r0+2:r1] == b ","01234567890123456789","456",T(1.0)), test_ab("a[r1-r0:] == b ","01234567890123456789","4567890123456789",T(1.0)), test_ab("a[:r1-r0] == b ","01234567890123456789","01234",T(1.0)), test_ab("b == a[r0: 6] ","01234567890123456789","23456",T(1.0)), test_ab("b == a[2: r1] ","01234567890123456789","23456",T(1.0)), test_ab("b == a[r0:3*2] ","01234567890123456789","23456",T(1.0)), test_ab("b == a[1+1:r1] ","01234567890123456789","23456",T(1.0)), test_ab("b == a[r0: ] ","01234567890123456789","234567890123456789",T(1.0)), test_ab("b == a[: r1] ","01234567890123456789","0123456",T(1.0)), test_ab("b == a[r0:r1] ","01234567890123456789","23456",T(1.0)), test_ab("b == a[r0:r1+2] ","01234567890123456789","2345678",T(1.0)), test_ab("b == a[r0+2:r1] ","01234567890123456789","456",T(1.0)), test_ab("b == a[r1-r0:] ","01234567890123456789","4567890123456789",T(1.0)), test_ab("b == a[:r1-r0] ","01234567890123456789","01234",T(1.0)), test_ab("'01234567890123456789'[0:9] == a ","0123456789","",T(1.0)), test_ab("'01234567890123456789'[0:9] == a[:] ","0123456789","",T(1.0)), test_ab("'01234567890123456789'[0:9] == a[0:] ","0123456789","",T(1.0)), test_ab("'01234567890123456789'[0:9] == a[:9] ","0123456789","",T(1.0)), test_ab("'01234567890123456789'[:9] == a[:9] ","0123456789","",T(1.0)), test_ab("'01234567890123456789'[10:] == a[:] ","0123456789","",T(1.0)), test_ab("'01234567890123456789'[0:9] != a ","123456789" ,"",T(1.0)), test_ab("'01234567890123456789'[0:9] != a[:] ","123456789" ,"",T(1.0)), test_ab("'01234567890123456789'[0:9] != a[0:] ","123456789" ,"",T(1.0)), test_ab("'01234567890123456789'[0:9] != a[:8] ","123456789" ,"",T(1.0)), test_ab("'01234567890123456789'[:9] != a[:8] ","123456789" ,"",T(1.0)), test_ab("'01234567890123456789'[10:] != a[:] ","123456789" ,"",T(1.0)), test_ab("'01234567890123456789'[2*6:10+6] == a","23456" ,"",T(1.0)), test_ab("'23456' == a[:] ","23456" ,"",T(1.0)), test_ab("a == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), test_ab("a[:] == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), test_ab("a[0:] == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), test_ab("a[:9] == '01234567890123456789'[0:9] ","0123456789","",T(1.0)), test_ab("a[:9] == '01234567890123456789'[:9] ","0123456789","",T(1.0)), test_ab("a[:] == '01234567890123456789'[10:] ","0123456789","",T(1.0)), test_ab("a != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), test_ab("a[:] != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), test_ab("a[0:] != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), test_ab("a[:8] != '01234567890123456789'[0:9] ","123456789" ,"",T(1.0)), test_ab("a[:8] != '01234567890123456789'[:9] ","123456789" ,"",T(1.0)), test_ab("a[:] != '01234567890123456789'[10:] ","123456789" ,"",T(1.0)), test_ab("a == '01234567890123456789'[2*6:10+6]","23456" ,"",T(1.0)), test_ab("a[:] == '23456' ","23456" ,"",T(1.0)), test_ab("a[0:9] == b ","01234567890123456789","0123456789",T(1.0)), test_ab("a[0:9] == b[:] ","01234567890123456789","0123456789",T(1.0)), test_ab("a[0:9] == b[0:] ","01234567890123456789","0123456789",T(1.0)), test_ab("a[0:9] == b[:9] ","01234567890123456789","0123456789",T(1.0)), test_ab("a[:9] == b[:9] ","01234567890123456789","0123456789",T(1.0)), test_ab("a[10:] == b[:] ","01234567890123456789","0123456789",T(1.0)), test_ab("a[0:9] != b ","01234567890123456789","123456789" ,T(1.0)), test_ab("a[0:9] != b[:] ","01234567890123456789","123456789" ,T(1.0)), test_ab("a[0:9] != b[0:] ","01234567890123456789","123456789" ,T(1.0)), test_ab("a[0:9] != b[:8] ","01234567890123456789","123456789" ,T(1.0)), test_ab("a[:9] != b[:8] ","01234567890123456789","123456789" ,T(1.0)), test_ab("a[10:] != b[:] ","01234567890123456789","123456789" ,T(1.0)), test_ab("a[2*6:10+6] == b ","01234567890123456789","23456" ,T(1.0)), test_ab("b == a[0:9] ","01234567890123456789","0123456789",T(1.0)), test_ab("b[:] == a[0:9] ","01234567890123456789","0123456789",T(1.0)), test_ab("b[0:] == a[0:9] ","01234567890123456789","0123456789",T(1.0)), test_ab("b[:9] == a[0:9] ","01234567890123456789","0123456789",T(1.0)), test_ab("b[:9] == a[:9] ","01234567890123456789","0123456789",T(1.0)), test_ab("b[:] == a[10:] ","01234567890123456789","0123456789",T(1.0)), test_ab("b != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), test_ab("b[:] != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), test_ab("b[0:] != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), test_ab("b[:8] != a[0:9] ","01234567890123456789","123456789" ,T(1.0)), test_ab("b[:8] != a[:9] ","01234567890123456789","123456789" ,T(1.0)), test_ab("b[:] != a[10:] ","01234567890123456789","123456789" ,T(1.0)), test_ab("b == a[2*6:10+6] ","01234567890123456789","23456" ,T(1.0)), test_ab("a[2:6] == b" ,"0123456789","23456" ,T(1.0)), test_ab("a == b[2:6]" ,"23456","0123456789" ,T(1.0)), test_ab("a[1+1:2*3] == b" ,"0123456789","23456" ,T(1.0)), test_ab("a == b[4/2:sqrt(36)]","23456","0123456789" ,T(1.0)), test_ab("a[0:6] == b" ,"0123456789","0123456",T(1.0)), test_ab("a[:6] == b" ,"0123456789","0123456",T(1.0)), test_ab("a[4/2-2:2+4] == b" ,"0123456789","0123456",T(1.0)), test_ab("a[:12/2] == b" ,"0123456789","0123456",T(1.0)), test_ab("a[0:] == b" ,"0123456","0123456" ,T(1.0)), test_ab("a[:] == b" ,"0123456","0123456" ,T(1.0)), test_ab("a == b[0:6]" ,"0123456","0123456789",T(1.0)), test_ab("a == b[:6]" ,"0123456","0123456789",T(1.0)), test_ab("a == b[4/2-2:2+4]" ,"0123456","0123456789",T(1.0)), test_ab("a == b[:12/2]" ,"0123456","0123456789",T(1.0)), test_ab("a == b[0:]" ,"0123456","0123456" ,T(1.0)), test_ab("a == b[:]" ,"0123456","0123456" ,T(1.0)), test_ab("a[:9] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), test_ab("a[0:9] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), test_ab("a[0:] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), test_ab("a[:] == b[0:9]" ,"0123456789","01234567890123456789",T(1.0)), test_ab("a[:] == b[10:]" ,"0123456789","01234567890123456789",T(1.0)), test_ab("'!@#$%^&*([{}])-=' != ')]}{[(*&^%$#@!'","","",T(1.0)), test_ab("('!@#$%^&*([{}])-=') != (')]}{[(*&^%$#@!')","","",T(1.0)), test_ab("{[('a')]} == [{('a')}]","","",T(1.0)), test_ab("{[('!@#$%^&*([{}])-=')]} != [{(')]}{[(*&^%$#@!')}]","","",T(1.0)), test_ab("'!@#$%^&*([{}])-=' == '!@#$%^&*([{}])-='","","",T(1.0)), test_ab("('!@#$%^&*([{}])-=') == ('!@#$%^&*([{}])-=')","","",T(1.0)), test_ab("{[('!@#$%^&*([{}])-=')]} == [{('!@#$%^&*([{}])-=')}]","","",T(1.0)), test_ab("'1234\\\\abc\nxyz\r890\tqaz\\'567' == a","1234\\abc\nxyz\r890\tqaz'567","",T(1.0)), test_ab("a == '1234\\\\abc\nxyz\r890\tqaz\\'567'","1234\\abc\nxyz\r890\tqaz'567","",T(1.0)), test_ab("'123'[] == 3" ,"","",T(1.0)), test_ab("3 == '123'[]" ,"","",T(1.0)), test_ab("'123'[] + '1234'[] == 7" ,"","",T(1.0)), test_ab("abs('123'[] - '1234'[]) == 1" ,"","",T(1.0)), test_ab("'1234'[] == a[]" ,"1234","",T(1.0)), test_ab("'123'[] + a[] == 7" ,"1234","",T(1.0)), test_ab("abs(a[] - '12345'[]) == 1" ,"1234","",T(1.0)), test_ab("'1234'[] + '12345'[] == a[] + b[]" ,"1234","12345",T(1.0)), test_ab("abs('123'[] - '1234'[]) == abs(a[] - b[])" ,"1234","12345",T(1.0)) }; static const std::size_t test_list_size = sizeof(test_list) / sizeof(test_ab); const std::size_t rounds = 50; for (std::size_t r = 0; r < rounds; ++r) { bool result = true; for (std::size_t i = 0; i < test_list_size; ++i) { test_ab& test = const_cast&>(test_list[i]); std::string str_a; std::string str_b; std::string str_c; T r0 = T(2); T r1 = T(6); exprtk::symbol_table symbol_table; symbol_table.add_stringvar("a" ,str_a); symbol_table.add_stringvar("b" ,str_b); symbol_table.add_stringvar("c" ,str_c); symbol_table.add_variable ("r0", r0); symbol_table.add_variable ("r1", r1); exprtk::expression expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(test.expr,expression)) { printf("run_test02() - Error: %s Expression: %s\n", parser.error().c_str(), test.expr.c_str()); return false; } } str_a = test.a; str_b = test.b; str_c = test.c; T result = expression.value(); if (not_equal(result,test.result)) { printf("run_test02() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f\n", test.expr.c_str(), (double)test.result, (double)result); result = false; } } if (!result) return false; } return true; } template inline bool run_test03() { std::string expression_string = "A+A0+aA+Aa0+b+B1+Bb+bB1+A+A0+AA+AA0+B+B1+BB+BB1+a+a0+aa+aa0+b+b1+bb+bb1+" "c+C2+Cc+Cc2+D+D3+dD+dD3+C+C2+CC+CC2+D+D3+DD+DD3+c+c2+cc+cc2+d+d3+dd+dd3+" "E+E4+eE+Ee4+f+F5+Ff+fF5+E+E4+EE+EE4+F+F5+FF+FF5+e+e4+ee+ee4+f+f5+ff+ff5+" "g+G6+Gg+Gg6+H+H7+hH+hH7+G+G6+GG+GG6+H+H7+HH+HH7+g+g6+gg+gg6+h+h7+hh+hh7+" "I+I8+iI+Ii8+j+J9+Jj+jJ9+I+I8+II+II8+J+J9+JJ+JJ9+i+i8+ii+ii8+j+j9+jj+jj9+" "k+K0+Kk+Kk0+L+L1+lL+lL1+K+K0+KK+KK0+L+L1+LL+LL1+k+k0+kk+kk0+l+l1+ll+ll1+" "M+M2+mM+Mm2+n+N3+Nn+nN3+M+M2+MM+MM2+N+N3+NN+NN3+m+m2+mm+mm2+n+n3+nn+nn3+" "o+O4+Oo+Oo4+P+P5+pP+pP5+O+O4+OO+OO4+P+P5+PP+PP5+o+o4+oo+oo4+p+p5+pp+pp5+" "Q+Q6+qQ+Qq6+r+R7+Rr+rR7+Q+Q6+QQ+QQ6+R+R7+RR+RR7+q+q6+qq+qq6+r+r7+rr+rr7+" "s+S8+Ss+Ss8+T+T9+tT+tT9+S+S8+SS+SS8+T+T9+TT+TT9+s+s8+ss+ss8+t+t9+tt+tt9+" "U+U0+uU+Uu0+v+V1+Vv+vV1+U+U0+UU+UU0+V+V1+VV+VV1+u+u0+uu+uu0+v+v1+vv+vv1+" "w+W2+Ww+Ww2+X+X3+xX+xX3+W+W2+WW+WW2+X+X3+XX+XX3+w+w2+ww+ww2+x+x3+xx+xx3+" "Y+Y4+yY+Yy4+z+Z5+Zz+zZ5+Y+Y4+YY+YY4+Z+Z5+ZZ+ZZ5+y+y4+yy+yy4+z+z5+zz+zz5 "; static const std::string variable_list[] = { "A", "A0", "aA", "Aa0", "b", "B1", "Bb", "bB1", "c", "C2", "Cc", "Cc2", "D", "D3", "dD", "dD3", "E", "E4", "eE", "Ee4", "f", "F5", "Ff", "fF5", "g", "G6", "Gg", "Gg6", "H", "H7", "hH", "hH7", "I", "I8", "iI", "Ii8", "j", "J9", "Jj", "jJ9", "k", "K0", "Kk", "Kk0", "L", "L1", "lL", "lL1", "M", "M2", "mM", "Mm2", "n", "N3", "Nn", "nN3", "o", "O4", "Oo", "Oo4", "P", "P5", "pP", "pP5", "Q", "Q6", "qQ", "Qq6", "r", "R7", "Rr", "rR7", "s", "S8", "Ss", "Ss8", "T", "T9", "tT", "tT9", "U", "U0", "uU", "Uu0", "v", "V1", "Vv", "vV1", "w", "W2", "Ww", "Ww2", "X", "X3", "xX", "xX3", "Y", "Y4", "yY", "Yy4", "z", "Z5", "Zz", "zZ5" }; static const std::size_t variable_list_size = sizeof(variable_list) / sizeof(std::string); static const std::size_t rounds = 300; for (std::size_t r = 0; r < rounds; ++r) { exprtk::symbol_table symbol_table; exprtk::expression expression; std::vector v; v.resize(variable_list_size); for (std::size_t i = 0; i < variable_list_size; ++i) { v[i] = T(i); symbol_table.add_variable(variable_list[i],v[i]); } if (variable_list_size != symbol_table.variable_count()) { printf("run_test03() - Error - Invalid number of variables in symbol_table! Expected: %d got: %d\n", static_cast(variable_list_size), static_cast(symbol_table.variable_count())); return false; } symbol_table.add_constants(); expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("run_test03() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } expression.value(); } return true; } template inline T clamp(const T& l, const T& v, const T& u) { return (v < l) ? l : ((v > u) ? u : v); } template inline bool run_test04() { std::string expression_string = "clamp(-1.0,sin(2 * pi * x) + cos(y / 2 * pi),+1.0)"; exprtk::symbol_table symbol_table; exprtk::expression expression; T x = T(-1000); T y = T(-1000); symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_constants(); expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("run_test04() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } const T pi = T(3.14159265358979323846); const T increment = T(0.0001); while ((x <= T(+1000)) && (y <= T(+1000))) { T result1 = expression.value(); T result2 = clamp(-1.0,std::sin(2 * pi * x) + std::cos(y / 2 * pi),+1.0); if (not_equal(result1,result2)) { printf("run_test04() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f x:%19.15f\ty:%19.15f\n", expression_string.c_str(), (double)result1, (double)result2, (double)x, (double)y); return false; } x += increment; y += increment; } return true; } template inline bool run_test05() { typedef exprtk::expression expression_t; std::string expression_string = "clamp(-1.0,sin(2 * pi * x_var123) + cos(y_var123 / 2 * pi),+1.0)"; exprtk::symbol_table symbol_table; std::deque expression_list; T x = T(-1000); T y = T(-1000); symbol_table.add_variable("x_var123",x); symbol_table.add_variable("y_var123",y); symbol_table.add_constants(); const std::size_t expression_count = 10; for (std::size_t i = 0; i < expression_count; ++i) { expression_t e; e.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_string,e)) { printf("run_test05() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } expression_list.push_back(e); } const T pi = T(3.14159265358979323846); const T increment = T(0.001); while ((x <= T(+1000)) && (y <= T(+1000))) { T real_result = clamp(-1.0,std::sin(2 * pi * x) + std::cos(y / 2 * pi),+1.0); for (std::size_t i = 0; i < expression_list.size(); ++i) { expression_t& expr = expression_list[i]; T result = expr.value(); if (not_equal(result,real_result)) { printf("run_test05() - Computation Error: Expression: [%s]\tExpected: %19.15f\tResult: %19.15f x:%19.15f\ty:%19.15f\tIndex:%d\n", expression_string.c_str(), (double)real_result, (double)result, (double)x, (double)y, static_cast(i)); return false; } } x += increment; y += increment; } return true; } template inline bool run_test06() { typedef exprtk::expression expression_t; std::string expression_string = "sqrt(1 - (x^2))"; T x = T(0); exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); expression_t expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("run_test06() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } T total_area1 = exprtk::integrate(expression,x,T(-1),T(1)); T total_area2 = exprtk::integrate(expression,"x",T(-1),T(1)); const T pi = T(3.14159265358979323846); if (not_equal(total_area1,total_area2,T(0.000001))) { printf("run_test06() - Integration Error: area1 != area2\n"); return false; } if (not_equal(total_area1,T(pi) / T(2),T(0.000001))) { printf("run_test06() - Integration Error: Expected: %19.15f\tResult: %19.15f\n", (double)(pi / T(2)), (double)total_area1); return false; } return true; } template inline bool run_test07() { typedef exprtk::expression expression_t; std::string expression_string = "sin(2x + 1 / 3)"; T x = T(0); exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); expression_t expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("run_test07() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } for (x = T(-200); x < T(200); x += T(0.0001)) { { T deriv1_real_result = T(2) * std::cos(T(2) * x + T(1.0 / 3.0)); T deriv1_result1 = exprtk::derivative(expression,x); T deriv1_result2 = exprtk::derivative(expression,"x"); if (not_equal(deriv1_result1,deriv1_result2,T(0.00001))) { printf("run_test07() - 1st Derivative Error: result1 != result2\n"); return false; } if (not_equal(deriv1_result1,deriv1_real_result,T(0.00001))) { printf("run_test07() - 1st Derivative Error: x: %19.15f\tExpected: %19.15f\tResult: %19.15f\n", (double)x, (double)deriv1_real_result, (double)deriv1_result1); return false; } } { T deriv2_real_result = T(-4) * std::sin(T(2) * x + T(1.0 / 3.0)); T deriv2_result1 = exprtk::second_derivative(expression,x); T deriv2_result2 = exprtk::second_derivative(expression,"x"); if (not_equal(deriv2_result1,deriv2_result2,T(0.0000001))) { printf("run_test07() - 2nd Derivative Error: result1 != result2\n"); return false; } if (not_equal(deriv2_result1,deriv2_real_result,T(0.01))) { printf("run_test07() - 2nd Derivative Error: x: %19.15f\tExpected: %19.15f\tResult: %19.15f\n", (double)x, (double)deriv2_real_result, (double)deriv2_result1); return false; } } { T deriv3_real_result = T(-8) * std::cos(T(2) * x + T(1.0 / 3.0)); T deriv3_result1 = exprtk::third_derivative(expression,x); T deriv3_result2 = exprtk::third_derivative(expression,"x"); if (not_equal(deriv3_result1,deriv3_result2,T(0.0000001))) { printf("run_test07() - 3rd Derivative Error: result1 != result2\n"); return false; } if (not_equal(deriv3_result1,deriv3_real_result,T(0.01))) { printf("run_test07() - 3rd Derivative Error: x: %19.15f\tExpected: %19.15f\tResult: %19.15f\n", (double)x, (double)deriv3_real_result, (double)deriv3_result1); return false; } } } return true; } template inline bool run_test08() { static const std::string expr_str[] = { "x", "y", "z", "w", "u", "x + y + z + w + u", "x + y / z * w ^ u", "x:=1.1", "y:=2.2", "z:=3.3", "w:=4.4", "u:=5.5", "x:=x+1.1", "y:=y+2.2", "z:=z+3.3", "w:=w+4.4", "u:=u+5.5", "x:=1.1+x", "y:=2.2+y", "z:=3.3+z", "w:=4.4+w", "u:=5.5+u", "x:=(x <= 1.1)", "y:=(2.2 >= y)", "z:=(3.3 and z)", "w:=(4.4 or w)", "u:=(u xor 5.5)", "min(x,y) + min(x,y,z) + min(x,y,z,w) + min(x,y,z,w,y)", "max(x,y) + max(x,y,z) + max(x,y,z,w) + max(x,y,z,w,y)", "avg(x,y)", "avg(x,y,z)", "avg(x,y,z,w)", "avg(x,y,z,w,u)", "(u := u := min(x:=1,y:=2,z:=3)) == 1", "(2x+3y+4z+5w)==(2*x+3*y+4*z+5*w)", "(3(x+y)/2+1)==(3*(x+y)/2+1)", "((x+y)3+1/4)==((x+y)*3+1/4)", "((x+y)z+1/2)==((x+y)*z+1/2)", "(x+y^3/z) == (x+(y*y*y)/z)", "(z-x^3+y^2*7) == (z-(x*x*x)+(y*y)*7)", "(3min(x,y))==(3*min(x,y))", "(sin(x)y)==(sin(x)*y)", "(sin(x)cos(y)+1)==(sin(x)*cos(y)+1)", "(sgn(sin(x))cos(sgn(y))+1)==(sgn(sin(x))*cos(sgn(y))+1)", "equal($f00(x,y,z),(x+y)/z)", "equal($f01(x,y,z),(x+y)*z)", "equal($f02(x,y,z),(x+y)-z)", "equal($f03(x,y,z),(x+y)+z)", "equal($f04(x,y,z),(x-y)+z)", "equal($f05(x,y,z),(x-y)/z)", "equal($f06(x,y,z),(x-y)*z)", "equal($f07(x,y,z),(x*y)+z)", "equal($f08(x,y,z),(x*y)-z)", "equal($f09(x,y,z),(x*y)/z)", "equal($f10(x,y,z),(x*y)*z)", "equal($f11(x,y,z),(x/y)+z)", "equal($f12(x,y,z),(x/y)-z)", "equal($f13(x,y,z),(x/y)/z)", "equal($f14(x,y,z),(x/y)*z)", "equal($f15(x,y,z),x/(y+z))", "equal($f16(x,y,z),x/(y-z))", "equal($f17(x,y,z),x/(y*z))", "equal($f18(x,y,z),x/(y/z))", "equal($f19(x,y,z),x*(y+z))", "equal($f20(x,y,z),x*(y-z))", "equal($f21(x,y,z),x*(y*z))", "equal($f22(x,y,z),x*(y/z))", "equal($f23(x,y,z),x-(y+z))", "equal($f24(x,y,z),x-(y-z))", "equal($f25(x,y,z),x-(y/z))", "equal($f26(x,y,z),x-(y*z))", "equal($f27(x,y,z),x+(y*z))", "equal($f28(x,y,z),x+(y/z))", "equal($f29(x,y,z),x+(y+z))", "equal($f30(x,y,z),x+(y-z))", "equal($f31(x,y,z),x*y^2+z)", "equal($f32(x,y,z),x*y^3+z)", "equal($f33(x,y,z),x*y^4+z)", "equal($f34(x,y,z),x*y^5+z)", "equal($f35(x,y,z),x*y^6+z)", "equal($f36(x,y,z),x*y^7+z)", "equal($f37(x,y,z),x*y^8+z)", "equal($f38(x,y,z),x*y^9+z)", "equal($f39(x,y,z),x*log(y)+z)", "equal($f40(x,y,z),x*log(y)-z)", "equal($f41(x,y,z),x*log10(y)+z)", "equal($f42(x,y,z),x*log10(y)-z)", "equal($f43(x,y,z),x*sin(y)+z)", "equal($f44(x,y,z),x*sin(y)-z)", "equal($f45(x,y,z),x*cos(y)+z)", "equal($f46(x,y,z),x*cos(y)-z)", "equal($f47(x,y,z),if(0!=x,y,z))", "equal($f48(x,y,z,w),x+((y+z)/w))", "equal($f49(x,y,z,w),x+((y+z)*w))", "equal($f50(x,y,z,w),x+((y-z)/w))", "equal($f51(x,y,z,w),x+((y-z)*w))", "equal($f52(x,y,z,w),x+((y*z)/w))", "equal($f53(x,y,z,w),x+((y*z)*w))", "equal($f54(x,y,z,w),x+((y/z)+w))", "equal($f55(x,y,z,w),x+((y/z)/w))", "equal($f56(x,y,z,w),x+((y/z)*w))", "equal($f57(x,y,z,w),x-((y+z)/w))", "equal($f58(x,y,z,w),x-((y+z)*w))", "equal($f59(x,y,z,w),x-((y-z)/w))", "equal($f60(x,y,z,w),x-((y-z)*w))", "equal($f61(x,y,z,w),x-((y*z)/w))", "equal($f62(x,y,z,w),x-((y*z)*w))", "equal($f63(x,y,z,w),x-((y/z)/w))", "equal($f64(x,y,z,w),x-((y/z)*w))", "equal($f65(x,y,z,w),((x+y)*z)-w)", "equal($f66(x,y,z,w),((x-y)*z)-w)", "equal($f67(x,y,z,w),((x*y)*z)-w)", "equal($f68(x,y,z,w),((x/y)*z)-w)", "equal($f69(x,y,z,w),((x+y)/z)-w)", "equal($f70(x,y,z,w),((x-y)/z)-w)", "equal($f71(x,y,z,w),((x*y)/z)-w)", "equal($f72(x,y,z,w),((x/y)/z)-w)", "equal($f73(x,y,z,w),(x*y)+(z*w))", "equal($f74(x,y,z,w),(x*y)-(z*w))", "equal($f75(x,y,z,w),(x*y)+(z/w))", "equal($f76(x,y,z,w),(x*y)-(z/w))", "equal($f77(x,y,z,w),(x/y)+(z/w))", "equal($f78(x,y,z,w),(x/y)-(z/w))", "equal($f79(x,y,z,w),(x/y)-(z*w))", "equal($f80(x,y,z,w),x/(y+(z*w)))", "equal($f81(x,y,z,w),x/(y-(z*w)))", "equal($f82(x,y,z,w),x*(y+(z*w)))", "equal($f83(x,y,z,w),x*(y-(z*w)))", "equal($f84(x,y,z,w),x*y^2+z*w^2)", "equal($f85(x,y,z,w),x*y^3+z*w^3)", "equal($f86(x,y,z,w),x*y^4+z*w^4)", "equal($f87(x,y,z,w),x*y^5+z*w^5)", "equal($f88(x,y,z,w),x*y^6+z*w^6)", "equal($f89(x,y,z,w),x*y^7+z*w^7)", "equal($f90(x,y,z,w),x*y^8+z*w^8)", "equal($f91(x,y,z,w),x*y^9+z*w^9)", "equal($f92(x,y,z,w),if(x and y,z,w))", "equal($f93(x,y,z,w),if(x or y,z,w))", "equal($f94(x,y,z,w),if(x < y,z,w))", "equal($f95(x,y,z,w),if(x <= y,z,w))", "equal($f96(x,y,z,w),if(x > y,z,w))", "equal($f97(x,y,z,w),if(x >= y,z,w))", "equal($f98(x,y,z,w),if(equal(x,y),z,w))", "equal($f92(x,y,z,w),x and y ? z : w)", "equal($f93(x,y,z,w),x or y ? z : w)", "equal($f94(x,y,z,w),x < y ? z : w)", "equal($f95(x,y,z,w),x <= y ? z : w)", "equal($f96(x,y,z,w),x > y ? z : w)", "equal($f97(x,y,z,w),x >= y ? z : w)", "equal($f98(x,y,z,w),equal(x,y) ? z : w)", "equal($f99(x,y,z,w),x*sin(y)+z*cos(w))" }; static const std::size_t expr_str_size = sizeof(expr_str) / sizeof(std::string); static const std::size_t rounds = 25; for (std::size_t i = 0; i < rounds; ++i) { for (std::size_t j = 0; j < expr_str_size; ++j) { typedef exprtk::expression expression_t; T x = T(1.12345); T y = T(2.12345); T z = T(3.12345); T w = T(4.12345); T u = T(5.12345); exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); symbol_table.add_variable("w",w); symbol_table.add_variable("u",u); expression_t expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expr_str[j],expression)) { printf("run_test08() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str[j].c_str()); return false; } } expression.value(); } } return true; } template struct myfunc : public exprtk::ifunction { myfunc() : exprtk::ifunction(2) {} inline T operator()(const T& v1, const T& v2) { return T(1) + (v1 * v2) / T(3); } }; template inline bool run_test09() { static const std::size_t rounds = 1000; for (std::size_t i = 0; i < rounds; ++i) { typedef exprtk::expression expression_t; std::string expression_string = "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)+" "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)+" "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)+" "myfunc0(sin(x * pi),y / 2) + myfunc1(sin(x * pi),y / 2)+" "myfunc2(sin(x * pi),y / 2) + myfunc3(sin(x * pi),y / 2)+" "myfunc4(sin(x * pi),y / 2) + myfunc5(sin(x * pi),y / 2)+" "myfunc6(sin(x * pi),y / 2) + myfunc7(sin(x * pi),y / 2)+" "myfunc8(sin(x * pi),y / 2) + myfunc9(sin(x * pi),y / 2)"; T x = T(1) + (i / T(10000)); T y = T(2) + (i / T(10000)); myfunc mf; exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_function("myfunc0",mf); symbol_table.add_function("myfunc1",mf); symbol_table.add_function("myfunc2",mf); symbol_table.add_function("myfunc3",mf); symbol_table.add_function("myfunc4",mf); symbol_table.add_function("myfunc5",mf); symbol_table.add_function("myfunc6",mf); symbol_table.add_function("myfunc7",mf); symbol_table.add_function("myfunc8",mf); symbol_table.add_function("myfunc9",mf); symbol_table.add_constants(); expression_t expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("run_test09() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } const T pi = T(3.141592653589793238462); T result = expression.value(); T expected = T(4) * ( mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) + mf(sin(x*pi),y / T(2)) ); if (not_equal(result,expected,T(0.0000001))) { printf("run_test09() - Error Expected: %19.15f\tResult: %19.15f\n", (double)expected, (double)result); return false; } } return true; } template inline bool run_test10() { typedef exprtk::expression expression_t; T x = T(1.1); T y = T(2.2); T xx = T(3.3); T yy = T(4.4); std::string i = "A String"; std::string j = "Another String"; std::string ii = "A String"; std::string jj = "Another String"; exprtk::symbol_table symbol_table; struct test { static inline bool variable(exprtk::symbol_table& symbol_table, const std::string& variable_name, const T& value) { exprtk::details::variable_node* var = symbol_table.get_variable(variable_name); if (var) return (!not_equal(var->ref(),value)); else return false; } static inline bool string(exprtk::symbol_table& symbol_table, const std::string& string_name, const std::string& str) { exprtk::details::stringvar_node* str_node = symbol_table.get_stringvar(string_name); if (str_node) return (str_node->ref() == str); else return false; } }; static const std::size_t rounds = 10; for (std::size_t r = 0; r < rounds; ++r) { symbol_table.add_variable("x", x); symbol_table.add_variable("y", y); symbol_table.add_variable("xx",xx); symbol_table.add_variable("yy",yy); if (!symbol_table.symbol_exists("x")) { printf("run_test10() - Symbol 'x' does not exist!\n"); return false; } else if (!symbol_table.symbol_exists("y")) { printf("run_test10() - Symbol 'y' does not exist!\n"); return false; } else if (!symbol_table.symbol_exists("xx")) { printf("run_test10() - Symbol 'xx' does not exist!\n"); return false; } else if (!symbol_table.symbol_exists("yy")) { printf("run_test10() - Symbol 'yy' does not exist!\n"); return false; } else if (!test::variable(symbol_table,"x",x)) { printf("run_test10() - Symbol 'x' value failure!\n"); return false; } else if (!test::variable(symbol_table,"y",y)) { printf("run_test10() - Symbol 'y' value failure!\n"); return false; } else if (!test::variable(symbol_table,"xx",xx)) { printf("run_test10() - Symbol 'xx' value failure!\n"); return false; } else if (!test::variable(symbol_table,"yy",yy)) { printf("run_test10() - Symbol 'yy' value failure!\n"); return false; } if (!symbol_table.remove_variable("x")) { printf("run_test10() - Failed to remove symbol 'x'!\n"); return false; } else if (!symbol_table.remove_variable("y")) { printf("run_test10() - Failed to remove symbol 'y'!\n"); return false; } else if (!symbol_table.remove_variable("xx")) { printf("run_test10() - Failed to remove symbol 'xx'!\n"); return false; } else if (!symbol_table.remove_variable("yy")) { printf("run_test10() - Failed to remove symbol 'yy'!\n"); return false; } } for (std::size_t r = 0; r < rounds; ++r) { myfunc mf; symbol_table.add_function("f",mf); symbol_table.add_function("f1",mf); if (!symbol_table.symbol_exists("f")) { printf("run_test10() - function 'f' does not exist!\n"); return false; } else if (!symbol_table.symbol_exists("f1")) { printf("run_test10() - function 'f1' does not exist!\n"); return false; } if (!symbol_table.remove_function("f")) { printf("run_test10() - Failed to remove function 'f'!\n"); return false; } else if (!symbol_table.remove_function("f1")) { printf("run_test10() - Failed to remove function 'f1'!\n"); return false; } } for (std::size_t r = 0; r < rounds; ++r) { symbol_table.add_stringvar("i",i); symbol_table.add_stringvar("j",j); symbol_table.add_stringvar("ii",ii); symbol_table.add_stringvar("jj",jj); if (!symbol_table.symbol_exists("i")) { printf("run_test10() - String 'i' does not exist!\n"); return false; } else if (!symbol_table.symbol_exists("j")) { printf("run_test10() - String 'j' does not exist!\n"); return false; } else if (!symbol_table.symbol_exists("ii")) { printf("run_test10() - String 'ii' does not exist!\n"); return false; } else if (!symbol_table.symbol_exists("jj")) { printf("run_test10() - String 'jj' does not exist!\n"); return false; } else if (!test::string(symbol_table,"i",i)) { printf("run_test10() - String 'i' value failure!\n"); return false; } else if (!test::string(symbol_table,"j",j)) { printf("run_test10() - String 'j' value failure!\n"); return false; } else if (!test::string(symbol_table,"ii",ii)) { printf("run_test10() - String 'ii' value failure!\n"); return false; } else if (!test::string(symbol_table,"jj",jj)) { printf("run_test10() - String 'jj' value failure!\n"); return false; } else if (!symbol_table.remove_stringvar("i")) { printf("run_test10() - Failed to remove String 'i'!\n"); return false; } else if (!symbol_table.remove_stringvar("j")) { printf("run_test10() - Failed to remove String 'j'!\n"); return false; } else if (!symbol_table.remove_stringvar("ii")) { printf("run_test10() - Failed to remove String 'ii'!\n"); return false; } else if (!symbol_table.remove_stringvar("jj")) { printf("run_test10() - Failed to remove String 'jj'!\n"); return false; } } for (std::size_t r = 0; r < rounds; ++r) { symbol_table.add_variable("x", x); symbol_table.add_variable("y", y); symbol_table.add_variable("xx",xx); symbol_table.add_variable("yy",yy); std::vector expected_var_list; expected_var_list.push_back( "x"); expected_var_list.push_back( "y"); expected_var_list.push_back("xx"); expected_var_list.push_back("yy"); std::deque > variable_list; symbol_table.get_variable_list(variable_list); if (variable_list.size() != expected_var_list.size()) { printf("run_test10() - Failed to get variable list (1)\n"); return false; } std::size_t found_count = 0; for (std::size_t i = 0; i < variable_list.size(); ++i) { for (std::size_t j = 0; j < expected_var_list.size(); ++j) { if (variable_list[i].first == expected_var_list[j]) { ++found_count; break; } } } if (found_count != expected_var_list.size()) { printf("run_test10() - Failed to get variable list (2)\n"); return false; } } for (std::size_t r = 0; r < rounds; ++r) { symbol_table.add_variable("x", x); symbol_table.add_variable("y", y); symbol_table.add_variable("xx",xx); symbol_table.add_variable("yy",yy); std::vector expected_var_list; expected_var_list.push_back( "x"); expected_var_list.push_back( "y"); expected_var_list.push_back("xx"); expected_var_list.push_back("yy"); std::deque variable_list; symbol_table.get_variable_list(variable_list); if (variable_list.size() != expected_var_list.size()) { printf("run_test10() - Failed to get variable list (3)\n"); return false; } std::size_t found_count = 0; for (std::size_t i = 0; i < variable_list.size(); ++i) { for (std::size_t j = 0; j < expected_var_list.size(); ++j) { if (variable_list[i] == expected_var_list[j]) { ++found_count; break; } } } if (found_count != expected_var_list.size()) { printf("run_test10() - Failed to get variable list (4)\n"); return false; } } for (std::size_t r = 0; r < rounds; ++r) { symbol_table.add_stringvar( "i", i); symbol_table.add_stringvar( "j", j); symbol_table.add_stringvar("ii",ii); symbol_table.add_stringvar("jj",jj); std::vector expected_var_list; expected_var_list.push_back( "i"); expected_var_list.push_back( "j"); expected_var_list.push_back("ii"); expected_var_list.push_back("jj"); std::deque > stringvar_list; symbol_table.get_stringvar_list(stringvar_list); if (stringvar_list.size() != expected_var_list.size()) { printf("run_test10() - Failed to get stringvar list (1)\n"); return false; } std::size_t found_count = 0; for (std::size_t i = 0; i < stringvar_list.size(); ++i) { for (std::size_t j = 0; j < expected_var_list.size(); ++j) { if (stringvar_list[i].first == expected_var_list[j]) { ++found_count; break; } } } if (found_count != expected_var_list.size()) { printf("run_test10() - Failed to get stringvar list (2)\n"); return false; } } for (std::size_t r = 0; r < rounds; ++r) { symbol_table.add_stringvar( "i", i); symbol_table.add_stringvar( "j", j); symbol_table.add_stringvar("ii",ii); symbol_table.add_stringvar("jj",jj); std::vector expected_var_list; expected_var_list.push_back( "i"); expected_var_list.push_back( "j"); expected_var_list.push_back("ii"); expected_var_list.push_back("jj"); std::deque stringvar_list; symbol_table.get_stringvar_list(stringvar_list); if (stringvar_list.size() != expected_var_list.size()) { printf("run_test10() - Failed to get stringvar list (3.0)\n"); return false; } if (symbol_table.stringvar_count() != expected_var_list.size()) { printf("run_test10() - Failed to get stringvar list (3.1)\n"); return false; } std::size_t found_count = 0; for (std::size_t i = 0; i < stringvar_list.size(); ++i) { for (std::size_t j = 0; j < expected_var_list.size(); ++j) { if (stringvar_list[i] == expected_var_list[j]) { ++found_count; break; } } } if (found_count != expected_var_list.size()) { printf("run_test10() - Failed to get stringvar list (4)\n"); return false; } } { T x0 = T(0); T y0 = T(0); T z0 = T(0); std::string expression_string = "(x0 + y0) / z0"; static const std::size_t rounds = 100; for (std::size_t i = 0; i < rounds; ++i) { expression_t expression0; x0 = T(i + 1.11); y0 = T(i + 2.22); z0 = T(i + 3.33); exprtk::symbol_table st0; st0.add_variable("x0",x0); st0.add_variable("y0",y0); st0.add_variable("z0",z0); expression0.register_symbol_table(st0); { exprtk::parser parser; if (!parser.compile(expression_string,expression0)) { printf("run_test10() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } { expression_t expression1; exprtk::symbol_table st1 = st0; expression1.register_symbol_table(st1); { exprtk::parser parser; if (!parser.compile(expression_string,expression1)) { printf("run_test10() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } st1.remove_variable("x0"); st1.remove_variable("y0"); st1.remove_variable("z0"); } } } { T a = T(1); T b = T(2); T c = T(3); T d = T(4); std::string e = "string"; exprtk::symbol_table symbol_table; symbol_table.add_variable ("a",a); symbol_table.add_variable ("b",b); symbol_table.add_variable ("c",c); symbol_table.add_variable ("d",d); symbol_table.add_stringvar("e",e); expression_t expression; expression.register_symbol_table(symbol_table); std::string expression_string = "(e == '1234') and (sin(a) + c) / b"; std::deque variable_list; { exprtk::parser parser; parser.cache_symbols() = true; if (!parser.compile(expression_string,expression)) { printf("run_test10() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } parser.expression_symbols(variable_list); } std::deque expected_variable_list; expected_variable_list.push_back("a"); expected_variable_list.push_back("b"); expected_variable_list.push_back("c"); expected_variable_list.push_back("e"); bool result = (variable_list.size() == expected_variable_list.size()) && std::equal(variable_list.begin(), variable_list.end(), expected_variable_list.begin()); if (!result) { printf("run_test10() - Failed variable list comparison.(5)\n"); return false; } } { exprtk::symbol_table symbol_table0; exprtk::symbol_table symbol_table1; if (symbol_table0 == symbol_table1) { printf("run_test10() - Error symbol_table0 and symbol_table1 are equal\n"); return false; } symbol_table0 = symbol_table1; symbol_table1 = symbol_table0; if (!(symbol_table0 == symbol_table1)) { printf("run_test10() - Error symbol_table0 and symbol_table1 are not equal\n"); return false; } } { std::string expression_list[] = { "var x := 3; var y := 6; x + -y == -3", "var x := 3; var y := 6; x - -y == 9", "var x := 3; var y := 6; -x + -y == -9", "var x := 3; var y := 6; -x - -y == 3", "var x := 3; var y := 6; -x * -y == 18", "var x := 6; var y := 3; -x / -y == 2", "var x := 3; var y := 6; -(-x * -y) == -18", "var x := 6; var y := 3; -(-x / -y) == -2", "var x:=3; var y:=6; -(-x)*-(-y) == 18", "var x:=3; var y:=6; -(-x)*-(-(-y)) == -18", "var x:=3; var y:=6; -(-(-x))*-(-y) == -18", "var x:=3; var y:=6; -(-(-x))*-(-(-y)) == 18", "var x:=3; var y:=6; -(-(x+y))*-(-(y+x)) == 81", "var x:=3; var y:=6; -(-(-(x+y)))*-(-(y+x)) == -81", "var x:=3; var y:=6; -(-(x+y))*-(-(-(y+x))) == -81", "var x:=3; var y:=6; -(-(-(x+y)))*-(-(-(y+x))) == 81", "var x := 1; var y := 2; swap(x,y); (x == 2) and (y == 1)", "var x := 1; var y := 2; x <=> y ; (x == 2) and (y == 1)", "var v[2] := {1,2}; swap(v[0],v[1]); (v[0] == 2) and (v[1] == 1)", "var v[2] := {1,2}; v[0] <=> v[1] ; (v[0] == 2) and (v[1] == 1)", "var x := 1; var y := 2; ~(swap(x,y),(x == 2) and (y == 1))", "var x := 1; var y := 2; ~(x <=> y , (x == 2) and (y == 1))", "var v[2] := {1,2}; ~(swap(v[0],v[1]), (v[0] == 2) and (v[1] == 1))", "var v[2] := {1,2}; ~(v[0] <=> v[1] , (v[0] == 2) and (v[1] == 1))", "var v[2] := {1,2}; swap(v[zero],v[one]); (v[zero] == 2) and (v[one] == 1)", "var v[2] := {1,2}; v[zero] <=> v[one] ; (v[zero] == 2) and (v[one] == 1)", "var v[2] := {1,2}; ~(swap(v[zero],v[one]), (v[zero] == 2) and (v[one] == 1))", "var v[2] := {1,2}; ~(v[zero] <=> v[one] , (v[zero] == 2) and (v[one] == 1))", "var v[2] := {1,2}; swap(v[2 * zero],v[(2 * one) / (1 + 1)]); (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1)", "var v[2] := {1,2}; v[2 * zero] <=> v[(2*one)/(1+1)] ; (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1)", "var v[2] := {1,2}; ~(swap(v[2 * zero],v[(2 * one) / (1 + 1)]), (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1))", "var v[2] := {1,2}; ~(v[2 * zero] <=> v[(2 * one) / (1 + 1)] , (v[2 * zero] == 2) and (v[(2 * one) / (1 + 1)] == 1))", "var x := 1; var y := 2; var v[2] := {3,4}; swap(x,v[0]); swap(v[1],y); (x == 3) and (y == 4)", "var x := 1; var y := 2; var v[2] := {3,4}; x <=> v[0]; v[1] <=> y; (x == 3) and (y == 4)", "var x := 1; var y := 2; var v[2] := {3,4}; swap(x,v[zero]); swap(v[one],y); (x == 3) and (y == 4)", "var x := 1; var y := 2; var v[2] := {3,4}; x <=> v[zero]; v[one] <=> y; (x == 3) and (y == 4)", "var x := 1; var y := 2; var v[2] := {3,4}; swap(x,v[2 * zero]); swap(v[(2 * one) / (1 + 1)],y); (x == 3) and (y == 4)", "var x := 1; var y := 2; var v[2] := {3,4}; x <=> v[zero / 3]; v[(2 * one)/(1 + 1)] <=> y; (x == 3) and (y == 4)", "~{ var x := 1 } + ~{ var x := 2 } == 3", "(~{ var x := 1 } + ~{ var x := 2 }) == (~{ var x := 2 } + ~{ var x := 1 })", "(~{ var x := 1 } + ~{ var x := 2 } + ~{~{ var x := 1 } + ~{ var x := 2 }}) == 6", "(~{ var x[3] := [1] } + ~{ var x[6] := {6,5,4,3,2,1}}) == 7", "(~{ var x[6] := {6,5,4,3,2,1} } + ~{ var x := 1 }) == 7", "(~{ var x := 1 } + ~{ var x[6] := {6,5,4,3,2,1} }) == 7", "var x[3] := {}; (x[0] == 0) and (x[1] == 0) and (x[2] == 0)", "var x[3] := {1,2}; (x[0] == 1) and (x[1] == 2) and (x[2] == 0)", "var x[3] := {1,2,3}; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", "var x[3] := [1]; (x[0] == 1) and (x[1] == 1) and (x[2] == 1)", "var v[3] := [1]; v += 1; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 2)", "var v[3] := [1]; v -= 1; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 0)", "var v[3] := [1]; v *= 2; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 2)", "var v[3] := [3]; v /= 3; (v[0] == v[1]) and (v[0] == v[2]) and (v[0] == 1)", "var v[3] := {1,2, 3}; v += 1; (v[0] == 2) and (v[1] == 3) and (v[2] == 4)", "var v[3] := {1,2, 3}; v -= 1; (v[0] == 0) and (v[1] == 1) and (v[2] == 2)", "var v[3] := {1,2, 3}; v *= 2; (v[0] == 2) and (v[1] == 4) and (v[2] == 6)", "var v[3] := {3,9,15}; v /= 3; (v[0] == 1) and (v[1] == 3) and (v[2] == 5)", "var v0[3] := [1]; var v1[3] := [1]; v0 += v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 2)", "var v0[3] := [1]; var v1[3] := [1]; v0 -= v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 0)", "var v0[3] := [1]; var v1[3] := [2]; v0 *= v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 2)", "var v0[3] := [3]; var v1[3] := [3]; v0 /= v1; (v0[0] == v0[1]) and (v0[0] == v0[2]) and (v0[0] == 1)", "var v0[3] := {1,2, 3}; var v1[3] := {1,1,1}; v0 += v1; (v0[0] == 2) and (v0[1] == 3) and (v0[2] == 4)", "var v0[3] := {1,2, 3}; var v1[3] := {1,1,1}; v0 -= v1; (v0[0] == 0) and (v0[1] == 1) and (v0[2] == 2)", "var v0[3] := {1,2, 3}; var v1[3] := {2,2,2}; v0 *= v1; (v0[0] == 2) and (v0[1] == 4) and (v0[2] == 6)", "var v0[3] := {3,9,15}; var v1[3] := {3,3,3}; v0 /= v1; (v0[0] == 1) and (v0[1] == 3) and (v0[2] == 5)", "var x[3] := {}; var y[4] := {1,2,3,4}; x := y; (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", "var x[3] := {}; var y[3] := {1,2,3}; x := y; (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", "var x[3] := {}; var y[2] := {1,2}; x := y; (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == 0)", "var x[3] := {}; var y[1] := {1}; x := y; (x[0] == y[0]) and (x[1] == 0) and (x[2] == 0)", "var x[3] := {}; var y[4] := {1,2,3,4}; x := (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", "var x[3] := {}; var y[3] := {1,2,3}; x := (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", "var x[3] := {}; var y[2] := {1,2}; x := (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == 0)", "var x[3] := {}; var y[1] := {1}; x := (y+=1); (x[0] == y[0]) and (x[1] == 0) and (x[2] == 0)", "var x[3] := {}; var y[4] := {1,2,3,4}; x += (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", "var x[3] := {}; var y[3] := {1,2,3}; x += (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == y[2])", "var x[3] := {}; var y[2] := {1,2}; x += (y+=1); (x[0] == y[0]) and (x[1] == y[1]) and (x[2] == 0)", "var x[3] := {}; var y[1] := {1}; x += (y+=1); (x[0] == y[0]) and (x[1] == 0) and (x[2] == 0)", "var x[3] := [9]; var y[4] := {1,2,3,4}; x <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", "var x[3] := [9]; var y[3] := {1,2,3}; x <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", "var x[3] := [9]; var y[2] := {1,2}; x <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 9)", "var x[3] := [9]; var y[1] := {1}; x <=> y; (x[0] == 1) and (x[1] == 9) and (x[2] == 9)", "var x[3] := [9]; var y[4] := {1,2,3,4}; x <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", "var x[3] := [9]; var y[3] := {1,2,3}; x <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", "var x[3] := [9]; var y[2] := {1,2}; x <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 9)", "var x[3] := [9]; var y[1] := {1}; x <=> (y += 1); (x[0] == 2) and (x[1] == 9) and (x[2] == 9)", "var x[3] := [8]; var y[4] := {1,2,3,4}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", "var x[3] := [8]; var y[3] := {1,2,3}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 3)", "var x[3] := [8]; var y[2] := {1,2}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 2) and (x[2] == 9)", "var x[3] := [8]; var y[1] := {1}; (x += 1) <=> y; (x[0] == 1) and (x[1] == 9) and (x[2] == 9)", "var x[3] := [8]; var y[4] := {1,2,3,4}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", "var x[3] := [8]; var y[3] := {1,2,3}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 4)", "var x[3] := [8]; var y[2] := {1,2}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 3) and (x[2] == 9)", "var x[3] := [8]; var y[1] := {1}; (x += 1) <=> (y += 1); (x[0] == 2) and (x[1] == 9) and (x[2] == 9)", "var x[3] := [0]; var y[4] := {1,2,3,4}; x < y", "var x[3] := [0]; var y[3] := {1,2,3}; x < y", "var x[3] := [0]; var y[2] := {1,2}; x < y", "var x[3] := [0]; var y[1] := {1}; x < y", "var x[3] := [0]; var y[4] := {1,2,3,4}; x <= y", "var x[3] := [0]; var y[3] := {1,2,3}; x <= y", "var x[3] := [0]; var y[2] := {1,2}; x <= y", "var x[3] := [0]; var y[1] := {1}; x <= y", "var x[3] := [5]; var y[4] := {1,2,3,4}; x > y", "var x[3] := [5]; var y[3] := {1,2,3}; x > y", "var x[3] := [5]; var y[2] := {1,2}; x > y", "var x[3] := [5]; var y[1] := {1}; x > y", "var x[3] := [5]; var y[4] := {1,2,3,4}; x >= y", "var x[3] := [5]; var y[3] := {1,2,3}; x >= y", "var x[3] := [5]; var y[2] := {1,2}; x >= y", "var x[3] := [5]; var y[1] := {1}; x >= y", "var x[3] := [1]; var y[4] := [1]; x == y", "var x[3] := [1]; var y[3] := [1]; x == y", "var x[3] := [1]; var y[2] := [1]; x == y", "var x[3] := [1]; var y[1] := [1]; x == y", "var x[3] := [1]; var y[4] := [2]; x != y", "var x[3] := [1]; var y[3] := [2]; x != y", "var x[3] := [1]; var y[2] := [2]; x != y", "var x[3] := [1]; var y[1] := [2]; x != y", "var x[3] := [0]; var y[4] := {5,6,7,8}; (x += 1) < y", "var x[3] := [0]; var y[3] := {5,6,7}; (x += 1) < y", "var x[3] := [0]; var y[2] := {5,6}; (x += 1) < y", "var x[3] := [0]; var y[1] := {5}; (x += 1) < y", "var x[3] := [0]; var y[4] := {1,2,3,4}; x < (y += 1)", "var x[3] := [0]; var y[3] := {1,2,3}; x < (y += 1)", "var x[3] := [0]; var y[2] := {1,2}; x < (y += 1)", "var x[3] := [0]; var y[1] := {1}; x < (y += 1)", "var x[3] := [0]; var y[4] := {5,6,7,8}; (x += 1) < (y += 1)", "var x[3] := [0]; var y[3] := {5,6,7}; (x += 1) < (y += 1)", "var x[3] := [0]; var y[2] := {5,6}; (x += 1) < (y += 1)", "var x[3] := [0]; var y[1] := {5}; (x += 1) < (y += 1)", "var x[3] := {1,2,3}; var y := 5; x < y ", "var x[3] := {1,2,3}; var y := 3; x < y + 1 ", "var x[3] := {1,2,3}; var y := 5; x <= y ", "var x[3] := {1,2,3}; var y := 3; x <= y + 1", "var x[3] := {1,1,1}; var y := 1; x == y ", "var x[3] := {1,1,1}; var y := 2; x == y - 1", "var x[3] := {1,2,3}; var y := 5; y > x ", "var x[3] := {1,2,3}; var y := 3; y >= x ", "var x[3] := {1,2,3}; var y := 5; y + 1 > x ", "var x[3] := {1,1,1}; var y := 1; y == x ", "var x[3] := {1,1,1}; var y := 2; y - 1 == x", "var x[3] := {1,2,3}; var y := 5; (x += 1) < y ", "var x[3] := {1,2,3}; var y := 3; (x -= 1) < y + 1 ", "var x[3] := {1,2,3}; var y := 5; (x -= 1) <= y ", "var x[3] := {2,2,2}; var y := 1; (x -= 1) == y ", "var x[3] := {1,2,3}; var y := 5; y > (x += 1) ", "var x[3] := {1,2,3}; var y := 5; y + 1 > (x += 1) ", "var x[3] := {2,2,2}; var y := 1; y == (x -= 1) ", "var x[3] := {2,2,2}; var y := 0; y + 1 == (x -= 1)", "var x[3] := [1]; var y[4] := {1,2,3,4}; var z[3] := [1]; z := (x + y); z == (x + y)", "var x[3] := [1]; var y[3] := {1,2,3}; var z[3] := [1]; z := (x - y); z == (x - y)", "var x[3] := [1]; var y[2] := {1,2}; var z[3] := [1]; z := (x / y); z == (x / y)", "var x[3] := [1]; var y[1] := {1}; var z[3] := [1]; z := (x * y); z == (x * y)", "var x[3] := [1]; var y[4] := {1,2,3,4}; var z[3] := [1]; z := 2(x + y); z == (x + y)2", "var x[3] := [1]; var y[3] := {1,2,3}; var z[3] := [1]; z := 2(x - y); z == (x - y)2", "var x[3] := [1]; var y[2] := {1,2}; var z[3] := [1]; z := 2(x / y); z == (x / y)2", "var x[3] := [1]; var y[1] := {1}; var z[3] := [1]; z := 2(x * y); z == (x * y)2", "var x[3] := [1]; var y[4] := {1,2,3,4}; var z[3] := [1]; z := 2(x + y)/3; z == 2(x + y)/3", "var x[3] := [1]; var y[3] := {1,2,3}; var z[3] := [1]; z := 2(x - y)/3; z == 2(x - y)/3", "var x[3] := [1]; var y[2] := {1,2}; var z[3] := [1]; z := 2(x / y)/3; z == 2(x / y)/3", "var x[3] := [1]; var y[1] := {1}; var z[3] := [1]; z := 2(x * y)/3; z == 2(x * y)/3", "var x[6] := {1,2,3,4,5,6}; equal(sqrt(sum([x - avg(x)]^2) / x[]),1.7078251277)", "var x[3] := {-1,-2,-3}; sum(abs(x) ) == 6", "var x[3] := {0.1,0.2,0.3}; sum(trunc(x)) == 0", "var x := 2; (~{ for (i := 0; i < 10; i += 1) { for (j := 0; j <= i;" "j += 1) { var y := 3; if ((i + j + y + x) < 6) { y += x; continue; " "} else break[i + j]; } } } + ~{ for (i := 0; i < 10; i += 1) { for " "(j := 0; j <= i; j += 1) { var y := 3; if ((i + j + y + x) < 6) { " "y += x; continue; } else break[i + j]; } } }) == 18 ", "var x := 2; var v0[3] := {1,2,3}; ( ~{ for (i := 0; i < 10; i += 1) { " "for (j := 0; j <= i; j += 1) { var y := 3; var v2[3] := {1,2,3}; if ( " "(i + j + y + x + abs(v0[i % v0[]] - v2[j % v2[]])) < 6) { var v3[3] :=" "{1,2,3}; y += x / v3[j % v3[]]; continue; } else break[i + j]; } } } " "+ ~{ for (i := 0; i < 10; i += 1) { for (j := 0; j <= i; j += 1) { var" " y := 3; var v2[3] := {1,2,3}; if ((i + j + y + x + abs(v0[i % v0[]] -" "v2[j % v2[]])) < 6) { var v3[3] := {1,2,3}; y += x / v3[j % v3[]]; " "continue; } else break[i + j]; } } } ) == 18 " }; const std::size_t expression_list_size = sizeof(expression_list) / sizeof(std::string); exprtk::symbol_table symbol_table; T zero = T(0); T one = T(1); symbol_table.add_variable("zero",zero); symbol_table.add_variable("one" , one); bool failed = false; for (std::size_t r = 0; r < 10; ++r) { for (std::size_t i = 0; i < expression_list_size; ++i) { expression_t expression; expression.register_symbol_table(symbol_table); { exprtk::parser parser; if (!parser.compile(expression_list[i],expression)) { printf("run_test10() - swaps Error: %s Expression: %s\n", parser.error().c_str(), expression_list[i].c_str()); return false; } } T result = expression.value(); if (T(1) != result) { printf("run_test10() - swaps evaluation error Expression: %s\n", expression_list[i].c_str()); failed = true; } } if (failed) return false; } } return true; } template inline bool run_test11() { typedef exprtk::expression expression_t; std::string expression_string = "(x + y) / 3"; T x = T(1.0); T y = T(2.0); exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); expression_t expression; expression.register_symbol_table(symbol_table); static const std::size_t rounds = 500; for (std::size_t i = 0; i < rounds; ++i) { { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("run_test11() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } if (not_equal(expression.value(),(x + y) / T(3),T(0.000001))) { printf("run_test11() - Error in evaluation!(1)\n"); return false; } expression.release(); if (false == (!expression)) { printf("run_test11() - Error in evaluation!(2)\n"); return false; } { exprtk::parser parser; if (!parser.compile(expression_string,expression)) { printf("run_test11() - Error: %s Expression: %s\n", parser.error().c_str(), expression_string.c_str()); return false; } } expression.value(); if (not_equal(expression.value(),(x + y) / T(3),T(0.000001))) { printf("run_test11() - Error in evaluation!(3)\n"); return false; } } if (!exprtk::pgo_primer()) { printf("run_test11() - Failed PGO primer\n"); return false; } return true; } template inline bool run_test12() { typedef exprtk::expression expression_t; static const std::string expression_string[] = { "equal(poly01(x,2.2,1.1),(2.2x^1+1.1))", "equal(poly02(x,3.3,2.2,1.1),(3.3x^2+2.2x^1+1.1))", "equal(poly03(x,4.4,3.3,2.2,1.1),(4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly04(x,5.5,4.4,3.3,2.2,1.1),(5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly05(x,6.6,5.5,4.4,3.3,2.2,1.1),(6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly06(x,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly07(x,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly08(x,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly09(x,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly10(x,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly11(x,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equal(poly12(x,4.4,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(4.4x^12+3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "EquaL(Poly01(x,2.2,1.1),(2.2x^1+1.1))", "eQuAl(pOly02(x,3.3,2.2,1.1),(3.3x^2+2.2x^1+1.1))", "eqUal(poLy03(x,4.4,3.3,2.2,1.1),(4.4x^3+3.3x^2+2.2x^1+1.1))", "eQuAl(polY04(x,5.5,4.4,3.3,2.2,1.1),(5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "EquAl(pOLy05(x,6.6,5.5,4.4,3.3,2.2,1.1),(6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "EqUaL(pOly06(x,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "Equal(Poly07(x,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "eQual(PoLy08(x,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "eqUal(pOlY09(x,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equAl(POLY10(x,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "equaL(PolY11(x,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))", "EQUAL(pOLy12(x,4.4,3.3,2.2,1.1,9.9,8.8,7.7,6.6,5.5,4.4,3.3,2.2,1.1),(4.4x^12+3.3x^11+2.2x^10+1.1x^9+9.9x^8+8.8x^7+7.7x^6+6.6x^5+5.5x^4+4.4x^3+3.3x^2+2.2x^1+1.1))" }; static const std::size_t expression_string_size = sizeof(expression_string) / sizeof(std::string); T x = T(1.23456); exprtk::polynomial poly01; exprtk::polynomial poly02; exprtk::polynomial poly03; exprtk::polynomial poly04; exprtk::polynomial poly05; exprtk::polynomial poly06; exprtk::polynomial poly07; exprtk::polynomial poly08; exprtk::polynomial poly09; exprtk::polynomial poly10; exprtk::polynomial poly11; exprtk::polynomial poly12; exprtk::symbol_table symbol_table; symbol_table.add_variable("x",x); symbol_table.add_function("poly01", poly01); symbol_table.add_function("poly02", poly02); symbol_table.add_function("poly03", poly03); symbol_table.add_function("poly04", poly04); symbol_table.add_function("poly05", poly05); symbol_table.add_function("poly06", poly06); symbol_table.add_function("poly07", poly07); symbol_table.add_function("poly08", poly08); symbol_table.add_function("poly09", poly09); symbol_table.add_function("poly10", poly10); symbol_table.add_function("poly11", poly11); symbol_table.add_function("poly12", poly12); expression_t expression; expression.register_symbol_table(symbol_table); static const std::size_t rounds = 500; for (std::size_t i = 0; i < rounds; ++i) { for (std::size_t j = 0; j < expression_string_size; ++j) { const std::string& expr_str = expression_string[j]; { exprtk::parser parser; if (!parser.compile(expr_str,expression)) { printf("run_test12() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str.c_str()); return false; } } if (T(1) != expression.value()) { printf("run_test12() - Error in evaluation! Expression: %s\n",expr_str.c_str()); return false; } } } return true; } template struct sine_deg : public exprtk::ifunction { sine_deg() : exprtk::ifunction(1) {} inline T operator()(const T& v) { return std::sin((v * T(exprtk::details::numeric::constant::pi)) / T(180)); } }; template struct cosine_deg : public exprtk::ifunction { cosine_deg() : exprtk::ifunction(1) {} inline T operator()(const T& v) { return std::cos((v * T(exprtk::details::numeric::constant::pi)) / T(180)); } }; template inline bool run_test13() { typedef exprtk::expression expression_t; static const std::string expression_string[] = { "equal(sin(30),0.5)", "equal(cos(60),0.5)", "equal(sin(60),sqrt(3)/2)", "equal(cos(30),sqrt(3)/2)", "equal(sin(x_deg),0.5)", "equal(cos(y_deg),0.5)", "equal(sin(y_deg),sqrt(3)/2)", "equal(cos(x_deg),sqrt(3)/2)", }; static const std::size_t expression_string_size = sizeof(expression_string) / sizeof(std::string); T x_deg = T(30); T y_deg = T(60); sine_deg sine; cosine_deg cosine; exprtk::symbol_table symbol_table; symbol_table.add_variable("x_deg",x_deg); symbol_table.add_variable("y_deg",y_deg); symbol_table.add_function("sine_deg",sine); symbol_table.add_function("cosine_deg",cosine); expression_t expression; expression.register_symbol_table(symbol_table); static const std::size_t rounds = 100; for (std::size_t i = 0; i < rounds; ++i) { for (std::size_t j = 0; j < expression_string_size; ++j) { const std::string& expr_str = expression_string[j]; { exprtk::parser parser; parser.replace_symbol("sin","sine_deg"); parser.replace_symbol("cos","cosine_deg"); if (!parser.compile(expr_str,expression)) { printf("run_test13() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str.c_str()); return false; } } if (T(1) != expression.value()) { printf("run_test13() - Error in evaluation! Expression: %s\n",expr_str.c_str()); return false; } } } return true; } template class Sequence> inline std::size_t load_expressions(const std::string& file_name, Sequence& sequence) { std::ifstream stream(file_name.c_str()); if (!stream) return 0; std::string buffer; buffer.reserve(1024); std::size_t line_count = 0; while (std::getline(stream,buffer)) { if (buffer.empty()) continue; else if ('#' == buffer[0]) continue; ++line_count; sequence.push_back(buffer); } return line_count; } template inline bool run_test14() { typedef exprtk::expression expression_t; T x = T(0); T y = T(0); T z = T(0); T w = T(0); exprtk::polynomial poly01; exprtk::polynomial poly02; exprtk::polynomial poly03; exprtk::polynomial poly04; exprtk::polynomial poly05; exprtk::polynomial poly06; exprtk::polynomial poly07; exprtk::polynomial poly08; exprtk::polynomial poly09; exprtk::polynomial poly10; exprtk::polynomial poly11; exprtk::polynomial poly12; exprtk::symbol_table symbol_table; symbol_table.add_constants(); symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); symbol_table.add_variable("w",w); symbol_table.add_function("poly01", poly01); symbol_table.add_function("poly02", poly02); symbol_table.add_function("poly03", poly03); symbol_table.add_function("poly04", poly04); symbol_table.add_function("poly05", poly05); symbol_table.add_function("poly06", poly06); symbol_table.add_function("poly07", poly07); symbol_table.add_function("poly08", poly08); symbol_table.add_function("poly09", poly09); symbol_table.add_function("poly10", poly10); symbol_table.add_function("poly11", poly11); symbol_table.add_function("poly12", poly12); expression_t expression; expression.register_symbol_table(symbol_table); exprtk::parser parser; std::deque expr_str_list; load_expressions("exprtk_functional_test.txt" ,expr_str_list); load_expressions("exprtk_functional_ext_test.txt",expr_str_list); if (expr_str_list.empty()) { return true; } std::deque > expression_list; bool failure = false; static const std::size_t rounds = 5; for (std::size_t r = 0; r < rounds; ++r) { for (std::size_t i = 0; i < expr_str_list.size(); ++i) { exprtk::expression current_expression; current_expression.register_symbol_table(symbol_table); if (!parser.compile(expr_str_list[i],current_expression)) { printf("run_test14() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str_list[i].c_str()); failure = true; } else expression_list.push_back(current_expression); } if (failure) break; for (std::size_t i = 0; i < expression_list.size(); ++i) { T result = expression_list[i].value(); if (result != T(1)) { failure = true; printf("run_test14() - Error with evaluation of expression: %s\n", expr_str_list[i].c_str()); } } expression_list.clear(); if (failure) break; } return !failure; } template inline bool run_test15() { typedef exprtk::expression expression_t; T x = T(1.1); T y = T(2.2); T z = T(3.3); exprtk::symbol_table symbol_table; symbol_table.add_constants(); symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); static const std::string expr_str_list[] = { "2 - (x + y) / z//Comment 01 ", "2 - (x + y) / z#Comment 02 ", "2 - (x + y) / z //Comment 03 ", "2 - (x + y) / z #Comment 04 ", "2 - (x + y) / z//Comment 05 \n", "2 - (x + y) / z#Comment 06 \n", "2 - (x + y) / z //Comment 07\n", "2 - (x + y) / z #Comment 08 \n", "/* Comment 09*/2 - (x + y) / z", "/* Comment 10*/2 - (x + y) / z\n", "/* Comment 11*/2 - (x + y) / z/* Comment 12*/", "/* Comment 13*/2 - (x + y) / z/* Comment 14*/\n", "2 - /* Comment 15 */(x + y) / z", "2 - /* Comment 16 */(x + y) /* Comment 17 *// z \n", "2 - /* Comment 18 */(x + y) /* Comment 19 */ / z //Comment 20\n", "2 - /* Comment 21 */(x + y) /* Comment 22 */ / z #Comment 23\n", "2 - /* Comment 24 */(x + y) /* Comment 25 */ / z //Comment 26", "2 - /* Comment 27 */(x + y) /* Comment 28 */ / z #Comment 29" }; static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); std::deque expression_list; for (std::size_t i = 0; i < expr_str_list_size; ++i) { expression_t expression; expression.register_symbol_table(symbol_table); exprtk::parser parser; if (!parser.compile(expr_str_list[i],expression)) { printf("run_test15() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str_list[i].c_str()); return false; } else expression_list.push_back(expression); } expression_t base_expression; const std::string base_expr_str = "2 - (x + y) / z"; { base_expression.register_symbol_table(symbol_table); exprtk::parser parser; if (!parser.compile(base_expr_str,base_expression)) { printf("run_test15() - Error: %s Expression: %s\n", parser.error().c_str(), base_expr_str.c_str()); return false; } } bool failure = false; for (std::size_t i = 0; i < expression_list.size(); ++i) { T base_result = base_expression.value(); T result = expression_list[i].value(); if (not_equal(base_result,result)) { printf("run_test15() - Error in evaluation! (1) Base: %20.10f\tResult: %20.10f\tExpression: %s\n", (double)base_result, (double)result, expr_str_list[i].c_str()); failure = true; } } return !failure; } template struct base_func : public exprtk::ifunction { typedef const T& type; base_func(const std::size_t& n) : exprtk::ifunction(n) {} inline T operator()(type v0, type v1, type v2, type v3, type v4) { return (v0 + v1 + v2 + v3 + v4); } inline T operator()(type v0, type v1, type v2, type v3) { return (v0 + v1 + v2 + v3); } inline T operator()(type v0, type v1, type v2) { return (v0 + v1 + v2); } inline T operator()(type v0, type v1) { return (v0 + v1); } inline T operator()(type v0) { return v0; } inline T operator()() { return T(1.1234); } }; template struct test_func5 : public base_func { test_func5() : base_func(5){} }; template struct test_func4 : public base_func { test_func4() : base_func(4){} }; template struct test_func3 : public base_func { test_func3() : base_func(3){} }; template struct test_func2 : public base_func { test_func2() : base_func(2){} }; template struct test_func1 : public base_func { test_func1() : base_func(1){} }; template struct test_func0 : public base_func { test_func0() : base_func(0){} }; template inline bool run_test16() { typedef exprtk::expression expression_t; T x = T(1.1); T y = T(2.2); T z = T(3.3); T w = T(4.4); T u = T(5.5); test_func0 test_func00; test_func1 test_func01; test_func2 test_func02; test_func3 test_func03; test_func4 test_func04; test_func5 test_func05; exprtk::symbol_table symbol_table; symbol_table.add_constants(); symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); symbol_table.add_variable("w",w); symbol_table.add_variable("u",u); symbol_table.add_function("test_func0",test_func00); symbol_table.add_function("test_func1",test_func01); symbol_table.add_function("test_func2",test_func02); symbol_table.add_function("test_func3",test_func03); symbol_table.add_function("test_func4",test_func04); symbol_table.add_function("test_func5",test_func05); static const std::string expr_str_list[] = { "test_func0 = test_func0()", "test_func0 == test_func0()", "equal(1.1 + test_func0,test_func0() + 1.1)", "equal(test_func0 + 1.1,1.1 + test_func0())", "equal((1.1 + test_func0),(test_func0() + 1.1))", "equal((test_func0 + 1.1),(1.1 + test_func0()))", "equal(test_func0,test_func0())", "equal(test_func0,1.1234)", "equal(test_func0(),1.1234)", "equal(test_func0 + test_func0(),2 * 1.1234)", "equal((test_func0 + test_func0()),2 * 1.1234)", "equal((test_func0) + (test_func0()),2 * 1.1234)", "equal(test_func1(x),(x))", "equal(test_func2(x,y),(x + y))", "equal(test_func3(x,y,z),(x + y + z))", "equal(test_func4(x,y,z,w),(x + y + z + w))", "equal(test_func5(x,y,z,w,u),(x + y + z + w + u))", "equal(1.1 + test_func0,1.1234 + 1.1)", "equal(1.1 + test_func0(),1.1234 + 1.1)", "equal(1.1 + test_func1(x),(x + 1.1))", "equal(1.1 + test_func2(x,y),(x + y + 1.1))", "equal(1.1 + test_func3(x,y,z),(x + y + z + 1.1))", "equal(1.1 + test_func4(x,y,z,w),(x + y + z + w + 1.1))", "equal(1.1 + test_func5(x,y,z,w,u),(x + y + z + w + u + 1.1))", "equal(test_func0 + 2.2,1.1234 + 2.2)", "equal(test_func0() + 2.2,1.1234 + 2.2)", "equal(test_func1(x) + 2.2,(x + 2.2))", "equal(test_func2(x,y) + 2.2,(x + y + 2.2))", "equal(test_func3(x,y,z) + 2.2,(x + y + z + 2.2))", "equal(test_func4(x,y,z,w) + 2.2,(x + y + z + w + 2.2))", "equal(test_func5(x,y,z,w,u) + 2.2,(x + y + z + w + u + 2.2))", "equal({[test_func1(x)]},{[(x)]})", "equal({[test_func2(x,y)]},{[(x + y)]})", "equal({[test_func3(x,y,z)]},{[(x + y + z)]})", "equal({[test_func4(x,y,z,w)]},{[(x + y + z + w)]})", "equal({[test_func5(x,y,z,w,u)]},{[(x + y + z + w + u)]})", "equal(test_func1(2.12),(2.12))", "equal(test_func2(2.12,3.12),(2.12 + 3.12))", "equal(test_func3(2.12,3.12,4.12),(2.12 + 3.12 + 4.12))", "equal(test_func4(2.12,3.12,4.12,5.12),(2.12 + 3.12 + 4.12 + 5.12))", "equal(test_func5(2.12,3.12,4.12,5.12,6.12),(2.12 + 3.12 + 4.12 + 5.12 + 6.12))", "equal(1.1 + test_func1(2.12),(2.12 + 1.1))", "equal(1.1 + test_func2(2.12,3.12),(2.12 + 3.12 + 1.1))", "equal(1.1 + test_func3(2.12,3.12,4.12),(2.12 + 3.12 + 4.12 + 1.1))", "equal(1.1 + test_func4(2.12,3.12,4.12,5.12),(2.12 + 3.12 + 4.12 + 5.12 + 1.1))", "equal(1.1 + test_func5(2.12,3.12,4.12,5.12,6.12),(2.12 + 3.12 + 4.12 + 5.12 + 6.12 + 1.1))", "equal(test_func1(2.12) + 2.2,(2.12 + 2.2))", "equal(test_func2(2.12,3.12) + 2.2,(2.12 + 3.12 + 2.2))", "equal(test_func3(2.12,3.12,4.12) + 2.2,(2.12 + 3.12 + 4.12 + 2.2))", "equal(test_func4(2.12,3.12,4.12,5.12) + 2.2,(2.12 + 3.12 + 4.12 + 5.12 + 2.2))", "equal(test_func5(2.12,3.12,4.12,5.12,6.12) + 2.2,(2.12 + 3.12 + 4.12 + 5.12 + 6.12 + 2.2))", "equal({[test_func1(2.12)]},{[(2.12)]})", "equal({[test_func2(2.12,3.12)]},{[(2.12 + 3.12)]})", "equal({[test_func3(2.12,3.12,4.12)]},{[(2.12 + 3.12 + 4.12)]})", "equal({[test_func4(2.12,3.12,4.12,5.12)]},{[(2.12 + 3.12 + 4.12 + 5.12)]})", "equal({[test_func5(2.12,3.12,4.12,5.12,6.12)]},{[(2.12 + 3.12 + 4.12 + 5.12 + 6.12)]})", "TeSt_FuNc0 = tEsT_fUnC0()", "TEst_fuNC0 == tESt_fUNc0()", "EquaL(tEsT_FuNC1(x),(x))", "eQuAl(teSt_fUnc2(x,y),(x + y))", "EqUaL(tEsT_fUNc3(x,y,z),(x + y + z))", "EQUal(TEst_FunC4(x,y,z,w),(x + y + z + w))", "eqUAL(tEsT_FuNc5(x,y,z,w,u),(x + y + z + w + u))" }; static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); std::deque expression_list; for (std::size_t i = 0; i < expr_str_list_size; ++i) { expression_t expression; expression.register_symbol_table(symbol_table); exprtk::parser parser; if (!parser.compile(expr_str_list[i],expression)) { printf("run_test16() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str_list[i].c_str()); return false; } else expression_list.push_back(expression); } bool failure = false; for (std::size_t i = 0; i < expression_list.size(); ++i) { if (T(1) != expression_list[i].value()) { printf("run_test16() - Error in evaluation! (1) Expression: %s\n", expr_str_list[i].c_str()); failure = true; } } return !failure; } template inline bool run_test17() { typedef exprtk::expression expression_t; T x = T(1.1); T y = T(2.2); T z = T(3.3); T w = T(4.4); T u = T(5.5); T v = T(6.6); T t = T(7.7); T one = T(1); T zero = T(0); exprtk::symbol_table symbol_table; symbol_table.add_constants(); symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); symbol_table.add_variable("w",w); symbol_table.add_variable("u",u); symbol_table.add_variable("v",v); symbol_table.add_variable("t",t); symbol_table.add_variable("one",one); symbol_table.add_variable("zero",zero); static const std::string expr_str_list[] = { "equal(mand(one,one),1.0)", "equal(mand(one,zero),0.0)", "equal(mand(zero,one),0.0)", "equal(mand(zero,zero),0.0)", "equal(mand(one,one),1.0)", "equal(mand(one,one,one),1.0)", "equal(mand(one,one,one,one),1.0)", "equal(mand(one,one,one,one,one),1.0)", "equal(mand(one,one,zero),0.0)", "equal(mand(one,one,one,zero),0.0)", "equal(mand(one,one,one,one,zero),0.0)", "equal(mand(one,one,one,one,one,zero),0.0)", "equal(mor(one,one),1.0)", "equal(mor(one,zero),1.0)", "equal(mor(zero,one),1.0)", "equal(mor(zero,zero),0.0)", "equal(mor(one,one),1.0)", "equal(mor(one,one,zero),1.0)", "equal(mor(one,zero,one),1.0)", "equal(mor(one,zero,one,zero),1.0)", "equal(mor(zero,one),1.0)", "equal(mor(zero,zero,one),1.0)", "equal(mor(zero,zero,zero,zero,one),1.0)", "equal(mor(zero,zero,zero,zero,zero,one),1.0)", "equal(mor(zero,zero,zero,zero,zero,zero,zero,zero),0.0)", "equal((one nand one),not(mand(one,one)))", "equal((one nand zero),not(mand(one,zero)))", "equal((zero nand one),not(mand(zero,one)))", "equal((zero nand zero),not(mand(zero,zero)))", "equal((one nor one),not(mor(one,one)))", "equal((one nor zero),not(mor(one,zero)))", "equal((zero nor one),not(mor(zero,one)))", "equal((zero nor zero),not(mor(zero,zero)))", "equal(sum(x,y,z,w,u,v,t),(x+y+z+w+u+v+t))", "equal(sum(x+t,y+v,z+u,w+w,u+z,v+y,t+x),2*(x+y+z+w+u+v+t))", "equal(mul(x,y,z,w,u,v,t),(x*y*z*w*u*v*t))", "equal(mul(x*t,y*v,z*u,w*w,u*z,v*y,t*x),(x*y*z*w*u*v*t)^2)", "equal(sum(x,1.0,y,2.0,z,3.0,w,4.0,u,5.0,v,6.0,t),(x+y+z+w+u+v+t+21.0))", "equal(sum(x+1.0,y+2.0,z+3.0,w+4.0,u+5.0,v+6.0,t),(x+y+z+w+u+v+t+21.0))", "equal(mul(x,1.0,y,2.0,z,3.0,w,4.0,u,5.0,v,6.0,t),(x*y*z*w*u*v*t*720.0))", "equal(mul(x*1.0,y*2.0,z*3.0,w*4.0,u*5.0,v*6.0,t),(x*y*z*w*u*v*t*720.0))", "equal(min(x,y,z,w,u,v,t,zero),zero)", "equal(min(x+y,z+w,u+v,t,zero),zero)", "equal(max(one,x,y,z,w,u,v,t),t)", "equal(max(x+y,z+w,u+v,t,one),u+v)", "equal(avg(x,y,z,w,u,v,t),(x+y+z+w+u+v+t)/7.0)", "equal(avg(x+t,y+v,z+u,w+w,u+z,v+y,t+x),2/7*(x+y+z+w+u+v+t))" }; static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); std::deque expression_list; for (std::size_t i = 0; i < expr_str_list_size; ++i) { expression_t expression; expression.register_symbol_table(symbol_table); exprtk::parser parser; if (!parser.compile(expr_str_list[i],expression)) { printf("run_test17() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str_list[i].c_str()); return false; } else expression_list.push_back(expression); } bool failure = false; for (std::size_t i = 0; i < expression_list.size(); ++i) { if (T(1) != expression_list[i].value()) { printf("run_test17() - Error in evaluation! (1) Expression: %s\n", expr_str_list[i].c_str()); failure = true; } } return !failure; } template struct va_func : public exprtk::ivararg_function { inline T operator()(const std::vector& arglist) { T result = T(0); for (std::size_t i = 0; i < arglist.size(); ++i) { result += arglist[i]; } return result; } }; template inline bool run_test18() { typedef exprtk::expression expression_t; T x = T(1.1); T y = T(2.2); T z = T(3.3); T w = T(4.4); T u = T(5.5); T v = T(6.6); T t = T(7.7); va_func vaf; exprtk::symbol_table symbol_table; symbol_table.add_constants(); symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); symbol_table.add_variable("w",w); symbol_table.add_variable("u",u); symbol_table.add_variable("v",v); symbol_table.add_variable("t",t); symbol_table.add_vararg_function("va_func",vaf); static const std::string expr_str_list[] = { "equal(va_func,(0))", "equal(va_func(),(0))", "equal(va_func(1,2,3,4,5,6,7,8,9),(1+2+3+4+5+6+7+8+9))", "equal(va_func(1,x,3,y,5,z,7,w,9),(1+x+3+y+5+z+7+w+9))", "equal(va_func(x,2,y,4,z,6,w,8,u),(x+2+y+4+z+6+w+8+u))", "equal(va_func(x,y,z,w,u,v,t,1,2,3),(x+y+z+w+u+v+t+1+2+3))", "equal(va_func(x,y,z,w,u,v,t),(x+y+z+w+u+v+t))", "equal(va_func(x+t,y+v,z+u,w+w,u+z,v+y,t+x),2*(x+y+z+w+u+v+t))", "equal(1+va_func(1,x,3,y,5,z,7,w,9),(1+x+3+y+5+z+7+w+9)+1)", "equal(va_func(va_func(x,y,z,w,u,v,t),va_func(x,y,z,w,u,v,t)),2*(x+y+z+w+u+v+t))", "equal(va_func(va_func(x),va_func(y),va_func(z)),va_func(x,y,z))", "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(x)))))))),x)", "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(123.456)))))))),123.456)", "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(x+1)))))))),x+1)", "equal(va_func(va_func(va_func(va_func(va_func(va_func(va_func(va_func(x+y)))))))),x+y)" }; static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); std::deque expression_list; for (std::size_t i = 0; i < expr_str_list_size; ++i) { expression_t expression; expression.register_symbol_table(symbol_table); exprtk::parser parser; if (!parser.compile(expr_str_list[i],expression)) { printf("run_test18() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str_list[i].c_str()); return false; } else expression_list.push_back(expression); } bool failure = false; for (std::size_t i = 0; i < expression_list.size(); ++i) { if (T(1) != expression_list[i].value()) { printf("run_test18() - Error in evaluation! (1) Expression: %s\n", expr_str_list[i].c_str()); failure = true; } } return !failure; } template inline bool run_test19() { typedef exprtk::symbol_table symbol_table_t; typedef exprtk::expression expression_t; typedef exprtk::parser parser_t; typedef exprtk::function_compositor compositor_t; typedef typename compositor_t::function function_t; { T x = T(123.123); compositor_t compositor; // f(x) = x + 2 compositor.add("f","x + 2","x"); // g(x) = x^2-3 compositor.add("g","x^2 - 3","x"); // fof(x) = f(f(x)) compositor.add("fof","f(f(x))","x"); // gog(x) = g(g(x)) compositor.add("gog","g(g(x))","x"); // fog(x) = f(g(x)) compositor.add("fog","f(g(x))","x"); // gof(x) = g(f(x)) compositor.add("gof","g(f(x))","x"); // fogof(x) = f(g(f(x))) compositor.add("fogof","f(g(f(x)))","x"); // gofog(x) = g(f(g(x))) compositor.add("gofog","g(f(g(x)))","x"); symbol_table_t& symbol_table = compositor.symbol_table(); symbol_table.add_constants(); symbol_table.add_variable("x",x); static const std::string expr_str_list[] = { "equal(f(x),(x + 2))", "equal(g(x),(x^2 - 3))", "equal(fof(x),(x + 4))", "equal(gog(x),(x^4 - 6x^2 + 6))", "equal(fog(x),(x^2 - 1))", "equal(gof(x),(x^2 + 4x + 1))", "equal(fogof(x),(x^2 + 4x + 3))", "equal(gofog(x),(x^4 - 2x^2 - 2))" }; static const std::size_t expr_str_list_size = sizeof(expr_str_list) / sizeof(std::string); std::deque expression_list; for (std::size_t i = 0; i < expr_str_list_size; ++i) { expression_t expression; expression.register_symbol_table(symbol_table); parser_t parser; if (!parser.compile(expr_str_list[i],expression)) { printf("run_test19() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str_list[i].c_str()); return false; } else expression_list.push_back(expression); } bool failure = false; for (std::size_t i = 0; i < expression_list.size(); ++i) { if (T(1) != expression_list[i].value()) { printf("run_test19() - Error in evaluation! (1) Expression: %s\n", expr_str_list[i].c_str()); failure = true; } } if (failure) return false; } const std::size_t rounds = 100; for (std::size_t r = 0; r < rounds; ++r) { T x = T(1); T y = T(2); T z = T(3); T w = T(4); T u = T(5); T v = T(6); compositor_t compositor; // f0() = 6 compositor .add("f0"," 3 * 2"); // f1(x) = 5 * (f0 + x) compositor .add("f1","5 * (f0 + x)","x"); // f2(x,y) = 7 * (f1(x) + f1(y)) compositor .add("f2","7 * (f1(x) + f1(y))","x","y"); // f3(x,y,z) = 9 * (f2(x,y) + f2(y,z) + f2(x,z)) compositor .add("f3","9 * (f2(x,y) + f2(y,z) + f2(x,z))","x","y","z"); // f4(x,y,z,w) = 11 * (f3(x,y,z) + f3(y,z,w) + f3(z,w,z)) compositor .add("f4","11 * (f3(x,y,z) + f3(y,z,w) + f3(z,w,x))","x","y","z","w"); // f5(x,y,z,w,u) = 13 * (f4(x,y,z,w) + f4(y,z,w,u) + f4(z,w,u,x) + f4(w,u,x,y)) compositor .add("f5", "13 * (f4(x,y,z,w) + f4(y,z,w,u) + f4(z,w,u,x) + f4(w,u,x,y))", "x","y","z","w","u"); // f6(x,y,z,w,u,v) = 17 * (f5(x,y,z,w,u) + f5(y,z,w,u,v) + f5(z,w,u,v,x) + f5(w,u,v,x,y)) compositor .add( function_t("f6") .expression("17 * (f5(x,y,z,w,u) + f5(y,z,w,u,v) + f5(z,w,u,v,x) + f5(w,u,v,x,y))") .var("x").var("y").var("z") .var("w").var("u").var("v")); symbol_table_t& symbol_table = compositor.symbol_table(); symbol_table.add_constants(); symbol_table.add_variable("x",x); symbol_table.add_variable("y",y); symbol_table.add_variable("z",z); symbol_table.add_variable("w",w); symbol_table.add_variable("u",u); symbol_table.add_variable("v",v); expression_t expression; expression.register_symbol_table(symbol_table); parser_t parser; std::string expression_str = "f6(x,y,z,w,u,v) + 2"; if (!parser.compile(expression_str,expression)) { printf("run_test19() - Error: %s Expression: %s\n", parser.error().c_str(), expression_str.c_str()); return false; } T result = expression.value(); if (T(2122700582) != result) { printf("run_test19() - Error in evaluation! (2) Expression: %s\n", expression_str.c_str()); return false; } } { T x = T(0); compositor_t compositor; compositor .add("is_prime_impl1", "if(y == 1,true, " " if(0 == (x % y),false, " " is_prime_impl1(x,y - 1)))", "x","y"); compositor .add("is_prime_impl2", "switch " "{ " " case y == 1 : true; " " case (x % y) == 0 : false; " " default : is_prime_impl2(x,y - 1);" "} ", "x","y"); compositor .add("is_prime1", "if(frac(x) != 0, false, " " if(x <= 0, false, " " is_prime_impl1(x,min(x - 1,trunc(sqrt(x)) + 1))))", "x"); compositor .add("is_prime2", "switch " "{ " " case x <= 0 : false; " " case frac(x) != 0 : false; " " default : is_prime_impl2(x,min(x - 1,trunc(sqrt(x)) + 1));" "} ", "x"); compositor .add("is_prime_impl3", "while (y > 0) " "{ " " switch " " { " " case y == 1 : ~(y := 0, true);" " case (x % y) == 0 : ~(y := 0,false);" " default : y := y - 1; " " } " "} ", "x","y"); compositor .add("is_prime3", "switch " "{ " " case x <= 0 : false; " " case frac(x) != 0 : false; " " default : is_prime_impl3(x,min(x - 1,trunc(sqrt(x)) + 1));" "} ", "x"); compositor .add("is_prime_impl4", "switch " "{ " " case 1 == x : false; " " case 2 == x : true; " " case 3 == x : true; " " case 5 == x : true; " " case 7 == x : true; " " case 0 == x % 2 : false; " " default : " " { " " for (i := 3; i < y; i += 2) " " { " " if ((x % i) == 0) " " break[false]; " " else " " true; " " } " " }; " "} ", "x","y"); compositor .add("is_prime4", "switch " "{ " " case x <= 0 : false; " " case frac(x) != 0 : false; " " default : is_prime_impl4(x,min(x - 1,trunc(sqrt(x)) + 1));" "} ", "x"); symbol_table_t& symbol_table = compositor.symbol_table(); symbol_table.add_constants(); symbol_table.add_variable("x",x); const std::string expression_str[] = { "is_prime1(x)", "is_prime2(x)", "is_prime3(x)", "is_prime4(x)" }; const std::size_t expression_count = sizeof(expression_str) / sizeof(std::string); std::vector expression_list; for (std::size_t i = 0; i < expression_count; ++i) { parser_t parser; expression_t expression; expression.register_symbol_table(symbol_table); if (!parser.compile(expression_str[i],expression)) { printf("run_test19() - Error: %s Expression%d: %s\n", parser.error().c_str(), static_cast(i), expression_str[i].c_str()); return false; } else expression_list.push_back(expression); } bool failure = false; const std::size_t prime_list[] = { 2, 3, 5, 7, 11, 13, 17, 19, 877, 947, 1087, 1153, 1229, 1297, 1381, 1453, 1523, 1597, 1663, 1741, 1823, 1901, 1993, 2063, 2131, 2221, 2293, 2371, 2437, 2539, 2621, 2689, 2749, 2833, 2909, 3001, 3083, 3187, 3259, 3343, 3433, 3517, 3581, 3659, 3733, 3823, 3911, 4001, 4073, 4153, 4241, 4327, 4421, 4507, 4591, 4663, 4759, 4861, 4943, 5009, 5099, 5189, 5281, 5393, 5449, 5527, 5641, 5701, 5801, 5861, 5953, 6067, 6143, 6229, 6311, 6373, 6481, 6577, 6679, 6763, 6841, 6947, 7001, 7109, 7211, 7307, 7417, 7507, 104309, 104311, 104323, 104327, 104347, 104369, 104381, 104383, 104393, 104399, 104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 104537, 104543, 104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 104659, 104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729, 1000621, 1000639, 1000651, 1000667, 1000669, 1001023, 1001027, 1001041 }; const std::size_t prime_list_size = sizeof(prime_list) / sizeof(std::size_t); for (std::size_t i = 0; (i < prime_list_size) && (!failure); ++i) { x = prime_list[i]; std::vector result(expression_count,T(0)); for (std::size_t j = 0; j < expression_list.size(); ++j) { result[j] = expression_list[j].value(); } for (std::size_t j = 1; j < expression_list.size(); ++j) { if (result[j] != result[0]) { failure = true; break; } } if (failure) { printf("run_test19() - Error in evaluation! (3) Results don't match! Prime: %d\n", static_cast(prime_list[i])); for (std::size_t j = 0; j < expression_list.size(); ++j) { printf("Expression[%02d]: %s = %d\n", static_cast(j), expression_str[j].c_str(), static_cast(result[j])); } } else if (T(1) != expression_list[0].value()) { printf("run_test19() - Error in evaluation! (4) Results don't match! Prime: %d\n", static_cast(prime_list[i])); for (std::size_t j = 0; j < expression_list.size(); ++j) { printf("Expression[%02d]: %s = %d\n", static_cast(j), expression_str[j].c_str(), static_cast(result[j])); } } } if (failure) return false; } { T x = T(0); compositor_t compositor; compositor .add("fibonacci1", "if(x == 0,0, " " if(x == 1,1, " " fibonacci1(x - 1) + fibonacci1(x - 2)))", "x"); compositor .add("fibonacci2", "switch " "{ " " case x == 0 : 0; " " case x == 1 : 1; " " default : fibonacci2(x - 1) + fibonacci2(x - 2);" "} ", "x"); compositor .add("fibonacci_impl3", "switch " "{ " " case x == 0 : 0; " " case x == 1 : 1; " " default : " " while ((x := (x - 1)) > 0)" " { " " w := z; " " z := z + y; " " y := w; " " z " " }; " "} ", "x","y","z","w"); compositor .add("fibonacci3", "fibonacci_impl3(x,0,1,0)", "x"); compositor .add("fibonacci_impl4", "switch " "{ " " case x == 0 : 0; " " case x == 1 : 1; " " default : " " repeat " " w := z; " " z := z + y; " " y := w; " " x := x - 1; " " z " " until (x <= 1);" "} ", "x","y","z","w"); compositor .add("fibonacci4", "fibonacci_impl4(x,0,1,0)", "x"); compositor .add("fibonacci5", "if ((x == 0) or (x == 1)) " " x; " "else " " fibonacci5(x - 1) + fibonacci5(x - 2); ", "x"); symbol_table_t& symbol_table = compositor.symbol_table(); symbol_table.add_constants(); symbol_table.add_variable("x",x); const std::string expression_str[] = { "fibonacci1(x)", "fibonacci2(x)", "fibonacci3(x)", "fibonacci4(x)", "fibonacci5(x)" }; const std::size_t expression_count = sizeof(expression_str) / sizeof(std::string); std::vector expression_list; for (std::size_t i = 0; i < expression_count; ++i) { parser_t parser; expression_t expression; expression.register_symbol_table(symbol_table); if (!parser.compile(expression_str[i],expression)) { printf("run_test19() - Error: %s Expression[%02d]: %s\n", parser.error().c_str(), static_cast(i), expression_str[i].c_str()); return false; } else expression_list.push_back(expression); } bool failure = false; const std::size_t fibonacci_list[] = { 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269 }; const std::size_t fibonacci_list_size = sizeof(fibonacci_list) / sizeof(std::size_t); for (std::size_t i = 0; (i < fibonacci_list_size) && (!failure); ++i) { x = i; std::vector result(expression_count,T(0)); for (std::size_t j = 0; j < expression_list.size(); ++j) { result[j] = expression_list[j].value(); } for (std::size_t j = 1; j < expression_list.size(); ++j) { if (result[j] != result[0]) { failure = true; break; } } if (failure) { printf("run_test19() - Error in evaluation! (5) Results don't match! fibonacci(%d) = %d\n", static_cast(i), static_cast(fibonacci_list[i])); for (std::size_t j = 0; j < expression_list.size(); ++j) { printf("Expression[%02d]: %s = %d\n", static_cast(j), expression_str[j].c_str(), static_cast(result[j])); } } else if (fibonacci_list[i] != expression_list[0].value()) { printf("run_test19() - Error in evaluation! (6) Results don't match! fibonacci(%d) = %d\n", static_cast(i), static_cast(fibonacci_list[i])); for (std::size_t j = 0; j < expression_list.size(); ++j) { printf("Expression[%02d]: %s = %d\n", static_cast(j), expression_str[j].c_str(), static_cast(result[j])); } } } if (failure) return false; } { T x = T(0); symbol_table_t symbol_table; symbol_table.add_constants(); symbol_table.add_variable("x",x); compositor_t compositor(symbol_table); compositor .add("newton_sqrt_impl", "switch " "{ " " case x < 0 : -inf; " " case x == 0 : 0; " " case x == 1 : 1; " " default: " " ~{ " " z := 100; " " y := x / 2; " " repeat " " y := (1 / 2) * (y + (x / y)); " " if (equal(y * y,x)) " " break[y]; " " until ((z -= 1) <= 0); " " }; " "} ", "x","y","z"); compositor .add("newton_sqrt", "newton_sqrt_impl(x,0,0)","x"); std::string expression_str = "newton_sqrt(x)"; expression_t expression; expression.register_symbol_table(symbol_table); parser_t parser; if (!parser.compile(expression_str,expression)) { printf("run_test19() - Error: %s Expression: %s\n", parser.error().c_str(), expression_str.c_str()); return false; } bool failure = false; for (std::size_t i = 0; i < 100; ++i) { x = i; T result = expression.value(); if (not_equal(result,std::sqrt(x),T(0.0000001))) { printf("run_test19() - Computation Error " "Expression: [%s]\tExpected: %12.8f\tResult: %12.8f\n", expression_str.c_str(), (double)std::sqrt(x), (double)result); failure = true; } } if (failure) return false; } { symbol_table_t symbol_table; symbol_table.add_constants(); compositor_t compositor(symbol_table); compositor .add("mandelbrot", " var width := 118; " " var height := 41; " " var imag_max := +1; " " var imag_min := -1; " " var real_max := +1; " " var real_min := -2.5; " " var x_step := (real_max - real_min) / width; " " var y_step := (imag_max - imag_min) / height; " " for (y := 0; y < height; y += 1) " " { " " var imag := imag_min + (y_step * y); " " for (x := 0; x < width; x += 1) " " { " " var real := real_min + x_step * x; " " var z_real := real; " " var z_imag := imag; " " var plot_value; " " for (n := 0; n < 30; n += 1) " " { " " var a := z_real^2; " " var b := z_imag^2; " " plot_value := n; " " if ((a + b) < 4) " " { " " z_imag := 2 * z_real * z_imag + imag; " " z_real := a - b + real; " " } " " else " " break; " " }; " " }; " " } "); std::string expression_str = "mandelbrot()"; expression_t expression; expression.register_symbol_table(symbol_table); parser_t parser; if (!parser.compile(expression_str,expression)) { printf("run_test19() - Error: %s Expression: %s\n", parser.error().c_str(), expression_str.c_str()); return false; } for (std::size_t i = 0; i < 100; ++i) { expression.value(); } } return true; } template struct my_usr : public exprtk::parser::unknown_symbol_resolver { typedef typename exprtk::parser::unknown_symbol_resolver usr_t; bool process(const std::string& unknown_symbol, typename usr_t::symbol_type& st, T& default_value, std::string& error_message) { if (unknown_symbol[0] == 'v') { st = usr_t::e_variable_type; default_value = next_value(); error_message = ""; return true; } else if (unknown_symbol[0] == 'c') { st = usr_t::e_constant_type; default_value = next_value(); error_message = ""; return true; } else { error_message = "Unknown symbol..."; return false; } } T next_value(const bool reset = false) { static T value = 0; if (reset) return (value = 0); else return ++value; } }; template inline bool run_test20() { typedef exprtk::expression expression_t; for (std::size_t i = 0; i < 100; ++i) { exprtk::symbol_table symbol_table; symbol_table.add_constants(); expression_t expression; expression.register_symbol_table(symbol_table); exprtk::parser parser; my_usr musr; musr.next_value(true); parser.enable_unknown_symbol_resolver(&musr); std::string expr_str = "v01+c02+v03+c04+v05+c06+v07+c08+v09+c10+" "v11+c12+v13+c14+v15+c16+v17+c18+v19+c20+" "v21+c22+v23+c24+v25+c26+v27+c28+v29+c30 "; if (!parser.compile(expr_str,expression)) { printf("run_test20() - Error: %s Expression: %s\n", parser.error().c_str(), expr_str.c_str()); return false; } T sum_1_30 = T((1 + 30) * 15); T result = expression.value(); if (sum_1_30 != result) { printf("run_test20() - Error in evaluation! (1) Expression: %s\n", expr_str.c_str()); return false; } } return true; } template struct type_name { static inline std::string value() { return "unknown"; } }; template <> struct type_name { static inline std::string value() { return "float"; } }; template <> struct type_name { static inline std::string value() { return "double"; } }; template <> struct type_name { static inline std::string value() { return "long double"; } }; int main() { #define perform_test(Type,Number) \ { \ exprtk::timer timer; \ timer.start(); \ if (!run_test##Number()) \ { \ printf("run_test"#Number" (%s) *** FAILED! ***\n", \ type_name::value().c_str()); \ } \ else \ { \ timer.stop(); \ printf("run_test"#Number" (%s) - Result: SUCCESS Time: %8.4fsec\n", \ type_name::value().c_str(), \ timer.time()); \ } \ } \ perform_test(numeric_type,00) perform_test(numeric_type,01) perform_test(numeric_type,02) perform_test(numeric_type,03) perform_test(numeric_type,04) perform_test(numeric_type,05) perform_test(numeric_type,06) perform_test(numeric_type,07) perform_test(numeric_type,08) perform_test(numeric_type,09) perform_test(numeric_type,10) perform_test(numeric_type,11) perform_test(numeric_type,12) perform_test(numeric_type,13) perform_test(numeric_type,14) perform_test(numeric_type,15) perform_test(numeric_type,16) perform_test(numeric_type,17) perform_test(numeric_type,18) perform_test(numeric_type,19) perform_test(numeric_type,20) #undef perform_test return 0; }