-module(complex_numbers_tests).

% This file is automatically generated from the exercises canonical data.

-include_lib("erl_exercism/include/exercism.hrl").
-include_lib("eunit/include/eunit.hrl").


imaginary_unit_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(-1,
						      0),
				  complex_numbers:mul(complex_numbers:new(0, 1),
						      complex_numbers:new(0,
									  1)))).

add_purely_real_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(3, 0),
				  complex_numbers:add(complex_numbers:new(1, 0),
						      complex_numbers:new(2,
									  0)))).

add_purely_imaginary_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(0, 3),
				  complex_numbers:add(complex_numbers:new(0, 1),
						      complex_numbers:new(0,
									  2)))).

add_numbers_with_real_and_imaginary_part_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(4, 6),
				  complex_numbers:add(complex_numbers:new(1, 2),
						      complex_numbers:new(3,
									  4)))).

subtract_purely_real_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(-1,
						      0),
				  complex_numbers:sub(complex_numbers:new(1, 0),
						      complex_numbers:new(2,
									  0)))).

subtract_purely_imaginary_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(0,
						      -1),
				  complex_numbers:sub(complex_numbers:new(0, 1),
						      complex_numbers:new(0,
									  2)))).

subtract_numbers_with_real_and_imaginary_part_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(-2,
						      -2),
				  complex_numbers:sub(complex_numbers:new(1, 2),
						      complex_numbers:new(3,
									  4)))).

multiply_purely_real_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(2, 0),
				  complex_numbers:mul(complex_numbers:new(1, 0),
						      complex_numbers:new(2,
									  0)))).

multiply_purely_imaginary_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(-2,
						      0),
				  complex_numbers:mul(complex_numbers:new(0, 1),
						      complex_numbers:new(0,
									  2)))).

multiply_numbers_with_real_and_imaginary_part_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(-5,
						      10),
				  complex_numbers:mul(complex_numbers:new(1, 2),
						      complex_numbers:new(3,
									  4)))).

divide_purely_real_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(5.0e-1,
						      0),
				  complex_numbers:divide(complex_numbers:new(1,
									     0),
							 complex_numbers:new(2,
									     0)))).

divide_purely_imaginary_numbers_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(5.0e-1,
						      0),
				  complex_numbers:divide(complex_numbers:new(0,
									     1),
							 complex_numbers:new(0,
									     2)))).

divide_numbers_with_real_and_imaginary_part_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(4.4e-1,
						      8.0e-2),
				  complex_numbers:divide(complex_numbers:new(1,
									     2),
							 complex_numbers:new(3,
									     4)))).

absolute_value_of_a_positive_purely_real_number_test() ->
    ?assert(5 ==
	      complex_numbers:abs(complex_numbers:new(5, 0))).

absolute_value_of_a_negative_purely_real_number_test() ->
    ?assert(5 ==
	      complex_numbers:abs(complex_numbers:new(-5, 0))).

absolute_value_of_a_purely_imaginary_number_with_positive_imaginary_part_test() ->
    ?assert(5 ==
	      complex_numbers:abs(complex_numbers:new(0, 5))).

absolute_value_of_a_purely_imaginary_number_with_negative_imaginary_part_test() ->
    ?assert(5 ==
	      complex_numbers:abs(complex_numbers:new(0, -5))).

absolute_value_of_a_number_with_real_and_imaginary_part_test() ->
    ?assert(5 ==
	      complex_numbers:abs(complex_numbers:new(3, 4))).

conjugate_a_purely_real_number_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(5, 0),
				  complex_numbers:conjugate(complex_numbers:new(5,
										0)))).

conjugate_a_purely_imaginary_number_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(0,
						      -5),
				  complex_numbers:conjugate(complex_numbers:new(0,
										5)))).

conjugate_a_number_with_real_and_imaginary_part_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(1,
						      -1),
				  complex_numbers:conjugate(complex_numbers:new(1,
										1)))).

real_part_of_a_purely_real_number_test() ->
    ?assert(1 ==
	      complex_numbers:real(complex_numbers:new(1, 0))).

real_part_of_a_purely_imaginary_number_test() ->
    ?assert(0 ==
	      complex_numbers:real(complex_numbers:new(0, 1))).

real_part_of_a_number_with_real_and_imaginary_part_test() ->
    ?assert(1 ==
	      complex_numbers:real(complex_numbers:new(1, 2))).

imaginary_part_of_a_purely_real_number_test() ->
    ?assert(0 ==
	      complex_numbers:imaginary(complex_numbers:new(1, 0))).

imaginary_part_of_a_purely_imaginary_number_test() ->
    ?assert(1 ==
	      complex_numbers:imaginary(complex_numbers:new(0, 1))).

imaginary_part_of_a_number_with_real_and_imaginary_part_test() ->
    ?assert(2 ==
	      complex_numbers:imaginary(complex_numbers:new(1, 2))).

eulers_identityformula_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(-1,
						      0),
				  complex_numbers:exp(complex_numbers:new(0,
									  3.14159265358979311600)))).

exponential_of_0_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(1, 0),
				  complex_numbers:exp(complex_numbers:new(0,
									  0)))).

exponential_of_a_purely_real_number_test() ->
    ?assert(complex_numbers:equal(complex_numbers:new(2.71828182845904509080,
						      0),
				  complex_numbers:exp(complex_numbers:new(1,
									  0)))).

version_test() ->
    ?assertMatch(1, complex_numbers:test_version()).