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64 lines
3.8 KiB
C++
64 lines
3.8 KiB
C++
#include <quiz.h>
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#include <ion.h>
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#include <assert.h>
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#include "helper.h"
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using namespace Poincare;
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QUIZ_CASE(poincare_logarithm_evaluate) {
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assert_parsed_expression_evaluates_to<float>("log(2,64)", "0.1666667");
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assert_parsed_expression_evaluates_to<double>("log(6,7)", "0.9207822211616");
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assert_parsed_expression_evaluates_to<float>("log(5)", "0.69897");
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assert_parsed_expression_evaluates_to<double>("ln(5)", "1.6094379124341");
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assert_parsed_expression_evaluates_to<float>("log(2+5×𝐢,64)", "0.4048317+0.2862042×𝐢");
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assert_parsed_expression_evaluates_to<double>("log(6,7+4×𝐢)", "8.0843880717528ᴇ-1-2.0108238082167ᴇ-1×𝐢");
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assert_parsed_expression_evaluates_to<float>("log(5+2×𝐢)", "0.731199+0.1652518×𝐢");
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assert_parsed_expression_evaluates_to<double>("ln(5+2×𝐢)", "1.6836479149932+3.8050637711236ᴇ-1×𝐢");
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assert_parsed_expression_evaluates_to<double>("log(0,0)", Undefined::Name());
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assert_parsed_expression_evaluates_to<double>("log(0)", "-inf");
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assert_parsed_expression_evaluates_to<double>("log(2,0)", "0");
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// WARNING: evaluate on branch cut can be multivalued
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assert_parsed_expression_evaluates_to<double>("ln(-4)", "1.3862943611199+3.1415926535898×𝐢");
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}
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QUIZ_CASE(poincare_logarithm_simplify) {
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assert_parsed_expression_simplify_to("log(0,0)", Undefined::Name());
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assert_parsed_expression_simplify_to("log(0,1)", Undefined::Name());
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assert_parsed_expression_simplify_to("log(1,0)", "0");
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assert_parsed_expression_simplify_to("log(2,0)", "0");
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assert_parsed_expression_simplify_to("log(0,14)", "-inf");
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assert_parsed_expression_simplify_to("log(0,0.14)", Infinity::Name());
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assert_parsed_expression_simplify_to("log(0,0.14+𝐢)", Undefined::Name());
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assert_parsed_expression_simplify_to("log(2,1)", Undefined::Name());
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assert_parsed_expression_simplify_to("log(x,1)", Undefined::Name());
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assert_parsed_expression_simplify_to("log(12925)", "log(47)+log(11)+2×log(5)");
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assert_parsed_expression_simplify_to("ln(12925)", "ln(47)+ln(11)+2×ln(5)");
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assert_parsed_expression_simplify_to("log(1742279/12925, 6)", "-log(47,6)+log(17,6)+3×log(11,6)+log(7,6)-2×log(5,6)");
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assert_parsed_expression_simplify_to("ln(2/3)", "-ln(3)+ln(2)");
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assert_parsed_expression_simplify_to("log(1742279/12925, -6)", "log(158389/1175,-6)");
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assert_parsed_expression_simplify_to("ln(√(2))", "ln(2)/2");
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assert_parsed_expression_simplify_to("ln(ℯ^3)", "3");
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assert_parsed_expression_simplify_to("log(10)", "1");
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assert_parsed_expression_simplify_to("log(√(3),√(3))", "1");
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assert_parsed_expression_simplify_to("log(1/√(2))", "-log(2)/2");
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assert_parsed_expression_simplify_to("log(-𝐢)", "log(-𝐢)");
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assert_parsed_expression_simplify_to("ln(ℯ^(𝐢π/7))", "π/7×𝐢");
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assert_parsed_expression_simplify_to("log(10^24)", "24");
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assert_parsed_expression_simplify_to("log((23π)^4,23π)", "4");
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assert_parsed_expression_simplify_to("log(10^(2+π))", "π+2");
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assert_parsed_expression_simplify_to("ln(1881676377434183981909562699940347954480361860897069)", "ln(1881676377434183981909562699940347954480361860897069)");
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/* log(1002101470343) does no reduce to 3×log(10007) because it involves
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* prime factors above k_biggestPrimeFactor */
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assert_parsed_expression_simplify_to("log(1002101470343)", "log(1002101470343)");
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assert_parsed_expression_simplify_to("log(64,2)", "6");
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assert_parsed_expression_simplify_to("log(2,64)", "log(2,64)");
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assert_parsed_expression_simplify_to("log(1476225,5)", "10×log(3,5)+2");
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assert_parsed_expression_simplify_to("log(100)", "2");
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assert_parsed_expression_simplify_to("log(1000000)", "6");
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assert_parsed_expression_simplify_to("log(70992768,14)", "log(11,14)+log(3,14)+2×log(2,14)+5");
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assert_parsed_expression_simplify_to("log(1/6991712,14)", "-log(13,14)-5");
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assert_parsed_expression_simplify_to("log(4,10)", "2×log(2)");
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}
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