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exprtk_test.cpp
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exprtk_test.cpp
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/*
**************************************************************
* C++ Mathematical Expression Toolkit Library *
* *
* Examples and Unit-Tests *
* Author: Arash Partow (1999-2024) *
* URL: https://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 MIT License. *
* https://www.opensource.org/licenses/MIT *
* SPDX-License-Identifier: MIT *
* *
**************************************************************
*/
#include <cmath>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <deque>
#include <fstream>
#include <numeric>
#include <string>
#include <vector>
#include "exprtk.hpp"
#ifdef exprtk_test_float32_type
typedef float numeric_type;
#else
typedef double numeric_type;
#endif
#if __cplusplus >= 201103L
#define exprtk_test_override override
#define exprtk_test_final final
#define exprtk_test_delete = delete
#else
#define exprtk_test_override
#define exprtk_test_final
#define exprtk_test_delete
#endif
typedef std::pair<std::string,numeric_type> test_t;
static const test_t global_test_list[] =
{
// Note: Each of following tests must 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("1E1+1",11.0),
test_t("1e1+1",11.0),
test_t("1E1-1", 9.0),
test_t("1e1-1", 9.0),
test_t("1E01+1",11.0),
test_t("1e01+1",11.0),
test_t("1E01-1", 9.0),
test_t("1e01-1", 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("2.*3",+6.0),
test_t("2.*3.",+6.0),
test_t("2.+3",+5.0),
test_t("2.+3.",+5.0),
test_t("123.*456.",+56088.0),
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 - -1" , 2.0),
test_t("1 --1" , 2.0),
test_t("1-- 1" , 2.0),
test_t("1--1" , 2.0),
test_t("1 -- -1", 0.0),
test_t("1 + -1" , 0.0),
test_t("1 +-1" , 0.0),
test_t("1+- 1" , 0.0),
test_t("1+-1" , 0.0),
test_t("1 +- -1", 2.0),
test_t("1 + +1" , 2.0),
test_t("1 ++1" , 2.0),
test_t("1 - -1 + 1" , 3.0),
test_t("1 --1 + 1" , 3.0),
test_t("1-- 1 + 1" , 3.0),
test_t("1--1 + 1" , 3.0),
test_t("1 -- -1 + 1", 1.0),
test_t("1 + -1 + 1" , 1.0),
test_t("1 +-1 + 1" , 1.0),
test_t("1+- 1 + 1" , 1.0),
test_t("1+-1 + 1" , 1.0),
test_t("1 +- -1 + 1", 3.0),
test_t("1 + +1 + 1" , 3.0),
test_t("1 ++1 + 1" , 3.0),
test_t("1 - -1 - 1" , 1.0),
test_t("1 --1 - 1" , 1.0),
test_t("1-- 1 - 1" , 1.0),
test_t("1--1 - 1" , 1.0),
test_t("1 -- -1 - 1", -1.0),
test_t("1 + -1 - 1" , -1.0),
test_t("1 +-1 - 1" , -1.0),
test_t("1+- 1 - 1" , -1.0),
test_t("1+-1 - 1" , -1.0),
test_t("1 +- -1 - 1", 1.0),
test_t("1 + +1 - 1" , 1.0),
test_t("1 ++1 - 1" , 1.0),
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($f24(1.1,2.2,3.3),1.1-(2.2-3.3))",1.0),
test_t("equal($f25(1.1,2.2,3.3),1.1-(2.2/3.3))",1.0),
test_t("equal($f26(1.1,2.2,3.3),1.1-(2.2*3.3))",1.0),
test_t("equal($f27(1.1,2.2,3.3),1.1+(2.2*3.3))",1.0),
test_t("equal($f28(1.1,2.2,3.3),1.1+(2.2/3.3))",1.0),
test_t("equal($f29(1.1,2.2,3.3),1.1+(2.2+3.3))",1.0),
test_t("equal($f30(1.1,2.2,3.3),1.1+(2.2-3.3))",1.0),
test_t("equal($f31(1.1,2.2,3.3),1.1*2.2^2+3.3)",1.0),
test_t("equal($f32(1.1,2.2,3.3),1.1*2.2^3+3.3)",1.0),
test_t("equal($f33(1.1,2.2,3.3),1.1*2.2^4+3.3)",1.0),
test_t("equal($f34(1.1,2.2,3.3),1.1*2.2^5+3.3)",1.0),
test_t("equal($f35(1.1,2.2,3.3),1.1*2.2^6+3.3)",1.0),
test_t("equal($f36(1.1,2.2,3.3),1.1*2.2^7+3.3)",1.0),
test_t("equal($f37(1.1,2.2,3.3),1.1*2.2^8+3.3)",1.0),
test_t("equal($f38(1.1,2.2,3.3),1.1*2.2^9+3.3)",1.0),
test_t("equal($f39(1.1,2.2,3.3),1.1*log(2.2)+3.3)",1.0),
test_t("equal($f40(1.1,2.2,3.3),1.1*log(2.2)-3.3)",1.0),
test_t("equal($f41(1.1,2.2,3.3),1.1*log10(2.2)+3.3)",1.0),
test_t("equal($f42(1.1,2.2,3.3),1.1*log10(2.2)-3.3)",1.0),
test_t("equal($f43(1.1,2.2,3.3),1.1*sin(2.2)+3.3)",1.0),
test_t("equal($f44(1.1,2.2,3.3),1.1*sin(2.2)-3.3)",1.0),
test_t("equal($f45(1.1,2.2,3.3),1.1*cos(2.2)+3.3)",1.0),
test_t("equal($f46(1.1,2.2,3.3),1.1*cos(2.2)-3.3)",1.0),
test_t("equal($f47(1.1,2.2,3.3),if(0!=1.1,2.2,3.3))",1.0),
test_t("equal($f48(1.1,2.2,3.3,4.4),1.1+((2.2+3.3)/4.4))",1.0),
test_t("equal($f49(1.1,2.2,3.3,4.4),1.1+((2.2+3.3)*4.4))",1.0),
test_t("equal($f50(1.1,2.2,3.3,4.4),1.1+((2.2-3.3)/4.4))",1.0),
test_t("equal($f51(1.1,2.2,3.3,4.4),1.1+((2.2-3.3)*4.4))",1.0),
test_t("equal($f52(1.1,2.2,3.3,4.4),1.1+((2.2*3.3)/4.4))",1.0),
test_t("equal($f53(1.1,2.2,3.3,4.4),1.1+((2.2*3.3)*4.4))",1.0),
test_t("equal($f54(1.1,2.2,3.3,4.4),1.1+((2.2/3.3)+4.4))",1.0),
test_t("equal($f55(1.1,2.2,3.3,4.4),1.1+((2.2/3.3)/4.4))",1.0),
test_t("equal($f56(1.1,2.2,3.3,4.4),1.1+((2.2/3.3)*4.4))",1.0),
test_t("equal($f57(1.1,2.2,3.3,4.4),1.1-((2.2+3.3)/4.4))",1.0),
test_t("equal($f58(1.1,2.2,3.3,4.4),1.1-((2.2+3.3)*4.4))",1.0),
test_t("equal($f59(1.1,2.2,3.3,4.4),1.1-((2.2-3.3)/4.4))",1.0),
test_t("equal($f60(1.1,2.2,3.3,4.4),1.1-((2.2-3.3)*4.4))",1.0),
test_t("equal($f61(1.1,2.2,3.3,4.4),1.1-((2.2*3.3)/4.4))",1.0),
test_t("equal($f62(1.1,2.2,3.3,4.4),1.1-((2.2*3.3)*4.4))",1.0),
test_t("equal($f63(1.1,2.2,3.3,4.4),1.1-((2.2/3.3)/4.4))",1.0),
test_t("equal($f64(1.1,2.2,3.3,4.4),1.1-((2.2/3.3)*4.4))",1.0),
test_t("equal($f65(1.1,2.2,3.3,4.4),((1.1+2.2)*3.3)-4.4)",1.0),
test_t("equal($f66(1.1,2.2,3.3,4.4),((1.1-2.2)*3.3)-4.4)",1.0),
test_t("equal($f67(1.1,2.2,3.3,4.4),((1.1*2.2)*3.3)-4.4)",1.0),
test_t("equal($f68(1.1,2.2,3.3,4.4),((1.1/2.2)*3.3)-4.4)",1.0),
test_t("equal($f69(1.1,2.2,3.3,4.4),((1.1+2.2)/3.3)-4.4)",1.0),
test_t("equal($f70(1.1,2.2,3.3,4.4),((1.1-2.2)/3.3)-4.4)",1.0),
test_t("equal($f71(1.1,2.2,3.3,4.4),((1.1*2.2)/3.3)-4.4)",1.0),
test_t("equal($f72(1.1,2.2,3.3,4.4),((1.1/2.2)/3.3)-4.4)",1.0),
test_t("equal($f73(1.1,2.2,3.3,4.4),(1.1*2.2)+(3.3*4.4))",1.0),
test_t("equal($f74(1.1,2.2,3.3,4.4),(1.1*2.2)-(3.3*4.4))",1.0),
test_t("equal($f75(1.1,2.2,3.3,4.4),(1.1*2.2)+(3.3/4.4))",1.0),
test_t("equal($f76(1.1,2.2,3.3,4.4),(1.1*2.2)-(3.3/4.4))",1.0),
test_t("equal($f77(1.1,2.2,3.3,4.4),(1.1/2.2)+(3.3/4.4))",1.0),
test_t("equal($f78(1.1,2.2,3.3,4.4),(1.1/2.2)-(3.3/4.4))",1.0),
test_t("equal($f79(1.1,2.2,3.3,4.4),(1.1/2.2)-(3.3*4.4))",1.0),
test_t("equal($f80(1.1,2.2,3.3,4.4),1.1/(2.2+(3.3*4.4)))",1.0),
test_t("equal($f81(1.1,2.2,3.3,4.4),1.1/(2.2-(3.3*4.4)))",1.0),
test_t("equal($f82(1.1,2.2,3.3,4.4),1.1*(2.2+(3.3*4.4)))",1.0),
test_t("equal($f83(1.1,2.2,3.3,4.4),1.1*(2.2-(3.3*4.4)))",1.0),
test_t("equal($f84(1.1,2.2,3.3,4.4),1.1*2.2^2+3.3*4.4^2)",1.0),
test_t("equal($f85(1.1,2.2,3.3,4.4),1.1*2.2^3+3.3*4.4^3)",1.0),
test_t("equal($f86(1.1,2.2,3.3,4.4),1.1*2.2^4+3.3*4.4^4)",1.0),
test_t("equal($f87(1.1,2.2,3.3,4.4),1.1*2.2^5+3.3*4.4^5)",1.0),
test_t("equal($f88(1.1,2.2,3.3,4.4),1.1*2.2^6+3.3*4.4^6)",1.0),
test_t("equal($f89(1.1,2.2,3.3,4.4),1.1*2.2^7+3.3*4.4^7)",1.0),
test_t("equal($f90(1.1,2.2,3.3,4.4),1.1*2.2^8+3.3*4.4^8)",1.0),
test_t("equal($f91(1.1,2.2,3.3,4.4),1.1*2.2^9+3.3*4.4^9)",1.0),
test_t("equal($f92(1.1,2.2,3.3,4.4),if(1.1 and 2.2,3.3,4.4))",1.0),
test_t("equal($f93(1.1,2.2,3.3,4.4),if(1.1 or 2.2,3.3,4.4))",1.0),
test_t("equal($f94(1.1,2.2,3.3,4.4),if(1.1 < 2.2,3.3,4.4))",1.0),
test_t("equal($f95(1.1,2.2,3.3,4.4),if(1.1 <= 2.2,3.3,4.4))",1.0),
test_t("equal($f96(1.1,2.2,3.3,4.4),if(1.1 > 2.2,3.3,4.4))",1.0),
test_t("equal($f97(1.1,2.2,3.3,4.4),if(1.1 >= 2.2,3.3,4.4))",1.0),
test_t("equal($f98(1.1,2.2,3.3,4.4),if(equal(1.1,2.2),3.3,4.4))",1.0),
test_t("equal($f99(1.1,2.2,3.3,4.4),1.1*sin(2.2)+3.3*cos(4.4))",1.0),
test_t("equal((48.0/2.0*(9.0+3.0)),288.0)",1.0),
test_t("equal((48.0/2.0(9.0+3.0)),288.0)",1.0),
test_t("equal((6.0/2.0(1.0+2.0)),9.0)",1.0),
test_t("1+2+3+4+5+6+7+8+9+0",45.0),
test_t("1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 0",45.0),
test_t("1.0 + 2.0 + 3.0 + 4.0 + 5.0 + 6.0 + 7.0 + 8.0 + 9.0 + 0.0",45.0),
test_t("(1+2)+(3+4)+(5+6)+(7+8)+(9+0)",45.0),
test_t("(1-2)+(3-4)+(5-6)+(7-8)+(9-0)",+5.0),
test_t("(1+2)-(3+4)-(5+6)-(7+8)-(9+0)",-39.0),
test_t("(1.0+2.0)+(3.0+4.0)+(5.0+6.0)+(7.0+8.0)+(9.0+0.0)",45.0),
test_t("(1.0-2.0)+(3.0-4.0)+(5.0-6.0)+(7.0-8.0)+(9.0-0.0)",+5.0),
test_t("(1.0+2.0)-(3.0+4.0)-(5.0+6.0)-(7.0+8.0)-(9.0+0.0)",-39.0),
test_t("[(1.0+2.0)+[3.0+4.0]+(5.0+6.0)]+([7.0+8.0]+(9.0+0.0))",45.0),
test_t("([1.0-2.0]+(3.0-4.0)+[5.0-6.0])+[(7.0-8.0)+[9.0-0.0]]",+5.0),
test_t("((1.0+2.0))-[(3.0+4.0)]-((5.0+6.0))-[(7.0+8.0)]-((9.0+0.0))",-39.0),
test_t("{[(1.0+2.0)+[3.0+4.0]+({5.0+6.0})]}+({[7.0+8.0]+(9.0+0.0)})",45.0),
test_t("{([1.0-2.0]+(3.0-4.0)+[5.0-6.0])}+[({+7.0}-{+8.0})+[{+9.0-0.0}]]",+5.0),
test_t("((+1.0+2.0))-[({+3.0+4.0})]-(({+5.0+6.0}))-[({+7.0}+8.0)]-(({+9.0}+{0.0}))",-39.0),
test_t("1+2-3*4/5+6-7*8/9+0",0.37777777777777777778),
test_t("1.1+2.2-3.3*4.4/5.5+6.6-7.7*8.8/9.9+0.0",0.41555555555555555556),
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),