MikeMcl_decimal.js/test/modules/minus.js

if (typeof T === 'undefined') require('../setup');

T('minus', function () {

  var t = function (minuend, subtrahend, expected) {
    T.assertEqual(expected, new Decimal(minuend).minus(subtrahend).valueOf());
  }

  Decimal.config({
    precision: 200,
    rounding: 4,
    toExpNeg: -9e9,
    toExpPos: 9e9,
    minE: -9e15,
    maxE: 9e15
  });

  t(1, 0, '1');
  t(1, -0, '1');
  t(-1, 0, '-1');
  t(-1, -0, '-1');
  t(1, 'NaN', 'NaN');
  t(-1, 'NaN', 'NaN');
  t(1, 'Infinity', '-Infinity');
  t(1, '-Infinity', 'Infinity');
  t(-1, 'Infinity', '-Infinity');
  t(-1, '-Infinity', 'Infinity');
  t(0, 1, '-1');
  t(0, -1, '1');
  t(-0, 1, '-1');
  t(-0, -1, '1');

  /*
    IEEE 754 - 2008 section 6.3
    When the difference of two operands with like signs is exactly zero, the
    sign of that difference shall be +0 in all rounding-direction attributes
    except roundTowardNegative; under that attribute, the sign of an exact
    difference shall be −0.
    However, x + x = x −(−x) retains the same sign as x even when x is zero.
  */
  Decimal.rounding = 3;

  t('0', '-0', '0');    //   0 - -0 =  0
  t('-0', '0', '-0');   //  -0 -  0 = -0
  t('0', '0', '-0');    //   0 -  0 = -0
  t('-0', '-0', '-0');  //  -0 - -0 = -0
  t('1', '1', '-0');    //   1 -  1 = -0
  t('-1', '-1', '-0');  //  -1 - -1 = -0

  Decimal.rounding = 4;

  t('0', '-0', '0');    //   0 - -0 =  0
  t('-0', '0', '-0');   //  -0 -  0 = -0
  t('0', '0', '0');     //   0 -  0 =  0
  t('-0', '-0', '0');   //  -0 - -0 =  0
  t('1', '1', '0');     //   1 -  1 =  0
  t('-1', '-1', '0');   //  -1 - -1 =  0

  t(0, NaN, 'NaN');
  t(-0, NaN, 'NaN');
  t(0, Infinity, '-Infinity');
  t(0, -Infinity, 'Infinity');
  t(-0, Infinity, '-Infinity');
  t(-0, -Infinity, 'Infinity');
  t('NaN', 1, 'NaN');
  t('NaN', -1, 'NaN');
  t('NaN', 0, 'NaN');
  t('NaN', -0, 'NaN');
  t('NaN', 'NaN', 'NaN');
  t('NaN', Infinity, 'NaN');
  t('NaN', -Infinity, 'NaN');
  t(Infinity, 1, 'Infinity');
  t(Infinity, -1, 'Infinity');
  t(-Infinity, 1, '-Infinity');
  t(-Infinity, -1, '-Infinity');
  t(Infinity, 0, 'Infinity');
  t(Infinity, -0, 'Infinity');
  t(-Infinity, 0, '-Infinity');
  t(-Infinity, -0, '-Infinity');
  t(Infinity, 'NaN', 'NaN');
  t(-Infinity, 'NaN', 'NaN');
  t(Infinity, Infinity, 'NaN');
  t(Infinity, -Infinity, 'Infinity');
  t(-Infinity, Infinity, '-Infinity');
  t(-Infinity, -Infinity, 'NaN');

  t(1, '0', '1');
  t(1, '1', '0');
  t(1, '-45', '46');
  t(1, '22', '-21');
  t(1, 0144, '-99');
  t(1, '0144', '-143');
  t(1, '6.1915', '-5.1915');
  t(1, '-1.02', '2.02');
  t(1, '0.09', '0.91');
  t(1, '-0.0001', '1.0001');
  t(1, '8e5', '-799999');
  t(1, '9E12', '-8999999999999');
  t(1, '1e-14', '0.99999999999999');
  t(1, '3.345E-9', '0.999999996655');
  t(1, '-345.43e+4', '3454301');
  t(1, '-94.12E+0', '95.12');
  t('0', 0, '0');
  t('0', '0', '0');
  t(3, -0, '3');
  t(9.654, 0, '9.654');
  t(0, '0.001', '-0.001');
  t(0, '111.1111111110000', '-111.111111111');
  t(-1, 1, '-2');
  t(-0.01, 0.01, '-0.02');
  t(54, -54, '108');
  t(9.99, '-9.99', '19.98');
  t('0.0000023432495704937', '-0.0000023432495704937', '0.0000046864991409874');
  t(NaN, NaN, 'NaN');
  t(NaN, 'NaN', 'NaN');
  t('NaN', NaN, 'NaN');
  t('NaN', 4, 'NaN');
  t('NaN', '4534534.45435435', 'NaN');
  t('NaN', 99999.999, 'NaN');
  t('Infinity', '354.345341', 'Infinity');
  t(3, '-Infinity', 'Infinity');
  t('Infinity', 'Infinity', 'NaN');
  t('-Infinity', '-Infinity', 'NaN');
  t('Infinity', '-999e999', 'Infinity');
  t('1.21123e43', '-Infinity', 'Infinity');
  t('-999.0', 'Infinity', '-Infinity');
  t('657.342e-45', '-Infinity', 'Infinity');
  t('Infinity', 123, 'Infinity');
  t(-0, 'Infinity', '-Infinity');
  t(100, 100, '0');
  t(-999.99, '0.01', '-1000');
  t('10', 4, '6');
  t('03.333', -4, '7.333');
  t(-1, -0.1, '-0.9');
  t(43534.5435, '0.054645', '43534.488855');
  t('99999', '1', '99998');

  t = function (minuend, subtrahend, expected, sd, rm) {
    Decimal.precision = sd;
    Decimal.rounding = rm;
    T.assertEqual(expected, new Decimal(minuend).minus(subtrahend).valueOf());
  }

  t('0.000001', '1E-13', '0.0000009999999', 12, 5);
  t('1E-29', '0.1', '-0.09999999999999999999999999999', 30, 4);
  t('1E-9', '1E-40', '0.0000000009999999999999999999999999999999', 72, 6);
  t('1E-12', '1E-7', '-0.000000099999', 42, 3);
  t('1E-14', '1E-13', '-0.00000000000009', 76, 0);
  t('1E-21', '1E-32', '0.00000000000000000000099999999999', 77, 4);
  t('1E-19', '1E-16', '-0.0000000000000000999', 43, 3);
  t('1E-17', '1E-39', '0.000000000000000009999999999999999999999', 68, 2);
  t('1E-17', '1E-16', '-0.00000000000000009', 67, 1);
  t('1E-37', '1E-13', '-0.0000000000000999999999999999999999999', 52, 0);
  t('1E-27', '0.1', '-0.1', 25, 5);
  t('1E-28', '0.0001', '-0.0001', 6, 4);
  t('1E-20', '1E-34', '0.0000000000000000000099999999999999', 26, 0);
  t('1E-20', '0.1', '-0.1', 1, 6);
  t('1E-21', '1E-35', '0.00000000000000000000099999999999999', 57, 3);
  t('1E-30', '0.000001', '-0.000000999999999999999999999999', 81, 0);
  t('0.001', '1E-37', '0.00099999999999', 11, 1);
  t('1E-37', '1E-22', '-0.0000000000000000000000999999999999999', 73, 6);
  t('1E-25', '1E-34', '0.0000000000000000000000000999999999', 77, 5);
  t('1E-35', '1E-15', '-0.00000000000000099999999999999999999', 72, 1);
  t('1E-21', '1E-18', '-0.000000000000000000999', 16, 3);
  t('1E-31', '0.01', '-0.0099999999999999999999999999999', 36, 1);
  t('1E-13', '1E-10', '-0.0000000000999', 47, 6);
  t('1E-18', '0.001', '-0.000999999999999999', 91, 5);
  t('1E-38', '1E-11', '-0.00000000000999999999999999999999999999', 35, 5);
  t('0.001', '1E-23', '0.001', 17, 2);
  t('1E-38', '1E-7', '-0.00000009999999999999999999999999999999', 80, 5);
  t('0.000001', '1E-32', '0.000001', 21, 2);
  t('1E-20', '1E-30', '0.000000000000000000009999999999', 99, 1);
  t('1E-23', '1E-17', '-0.00000000000000000999999', 7, 0);
  t('1E-27', '1E-13', '-0.000000000000099999999999999', 94, 4);
  t('0.000001', '1E-39', '0.000000999999999999999999999999999999999', 77, 0);
  t('1E-32', '1E-23', '-0.00000000000000000000000999999999', 26, 0);
  t('1E-37', '1E-19', '-0.0000000000000000001', 17, 4);
  t('1E-20', '1E-34', '0.0000000000000000000099999999999999', 41, 1);
  t('1E-16', '1E-30', '0.000000000000000099999999999999', 37, 4);
  t('1E-9', '1E-14', '0.00000000099999', 54, 2);
  t('1E-33', '1E-12', '-0.000000000000999999999999999999999', 39, 6);
  t('1E-26', '1E-40', '0.0000000000000000000000000099999999999999', 36, 3);
  t('0.0001', '0.1', '-0.0999', 27, 5);
  t('1E-39', '1E-26', '-0.000000000000000000000000009999999999999', 28, 5);
  t('1E-37', '1E-14', '-0.0000000000000099999999999999999999999', 99, 1);
  t('1E-21', '1E-14', '-0.000000000000009999999', 79, 6);
  t('1E-30', '1E-33', '0.000000000000000000000000000000999', 5, 0);
  t('1E-24', '1E-16', '-0.000000000000000099999999', 8, 4);
  t('0.1', '1E-29', '0.09999999999999999999999999999', 53, 1);
  t('1E-21', '1E-16', '-0.000000000000000099999', 69, 5);
  t('1E-13', '1E-32', '0.00000000000009999999999999999999', 80, 3);
  t('1E-27', '1E-27', '0', 14, 1);
  t('1E-36', '1E-17', '-0.00000000000000001', 10, 5);
  t('1E-20', '1E-39', '0.000000000000000000009999999999999999999', 39, 6);
  t('1E-32', '1E-13', '-0.00000000000009999999999999999999', 69, 0);
  t('1E-35', '1E-22', '-0.00000000000000000000009999999999999', 40, 0);
  t('1E-17', '1E-37', '0.00000000000000001', 8, 2);
  t('1E-19', '1E-9', '-0.0000000009999999999', 60, 5);
  t('1E-33', '1E-28', '-0.000000000000000000000000000099999', 6, 1);
  t('0.000001', '1E-27', '0.000001', 13, 2);
  t('1E-34', '1E-12', '-0.0000000000009999999999999999999999', 66, 2);
  t('1E-36', '1E-27', '-0.000000000000000000000000000999999999', 22, 3);
  t('1E-40', '1E-20', '-0.0000000000000000000099999999999999999999', 91, 5);
  t('1E-26', '1E-17', '-0.00000000000000001', 7, 0);
  t('1E-25', '1E-34', '0.0000000000000000000000000999999999', 76, 5);
  t('1E-37', '1E-29', '-0.0000000000000000000000000000099999999', 29, 0);
  t('1E-16', '1E-9', '-0.0000000009999999', 74, 1);
  t('1E-20', '1E-26', '0.00000000000000000000999999', 88, 1);
  t('1E-35', '1E-22', '-0.00000000000000000000009999999999999', 84, 5);
  t('1E-14', '1E-32', '0.00000000000000999999999999999999', 68, 1);
  t('1E-9', '1E-38', '0.0000000009999999999999999999999999999', 28, 3);
  t('1E-15', '1E-18', '0.000000000000000999', 46, 1);
  t('1E-8', '1E-20', '0.00000001', 1, 5);
  t('1E-33', '1E-33', '0', 98, 2);
  t('1E-30', '1E-38', '0.00000000000000000000000000000099999999', 22, 3);
  t('1E-19', '0.1', '-0.0999999999999999999', 53, 6);
  t('0.000001', '1E-14', '0.00000099999999', 53, 2);
  t('0.000001', '1E-25', '0.0000009999999999999999999', 96, 2);
  t('1E-13', '1E-16', '0.0000000000000999', 89, 2);
  t('1E-25', '1E-40', '0.0000000000000000000000000999999999999999', 74, 5);
  t('1E-33', '1E-18', '-0.000000000000000000999999999999999', 86, 3);
  t('1E-13', '1E-21', '0.000000000000099999999', 44, 5);
  t('1E-29', '0.01', '-0.01', 17, 6);
  t('0.1', '1E-29', '0.09999999999999999999999999999', 30, 5);
  t('1E-9', '1E-18', '0.000000000999999999', 10, 0);
  t('1E-34', '1E-31', '-0.0000000000000000000000000000000999', 90, 1);
  t('1E-35', '0.1', '-0.099999', 5, 2);
  t('1E-32', '1E-7', '-0.00000009999999999999999999999999', 27, 3);
  t('1E-25', '0.00001', '-0.0000099999999999999999999', 45, 5);
  t('1E-30', '1E-22', '-0.000000000000000000000099999999', 29, 6);
  t('1E-21', '1E-23', '0.00000000000000000000099', 4, 4);
  t('1E-23', '1E-36', '0.000000000000000000000009', 1, 3);
  t('1E-31', '1E-37', '0.0000000000000000000000000000000999999', 73, 0);
  t('1E-9', '1E-36', '0.000000000999999999999999999999999999', 90, 4);
  t('1E-39', '1E-31', '-0.000000000000000000000000000000099999999', 45, 6);
  t('0.0001', '0.000001', '0.000099', 7, 0);
  t('1E-7', '1E-36', '0.000000099999999999999999999999999999', 60, 0);
  t('1E-27', '1E-28', '0.0000000000000000000000000009', 95, 5);
  t('0.01', '0.0001', '0.0099', 27, 1);
  t('1E-9', '1E-30', '0.000000001', 6, 2);
  t('0.1', '1E-23', '0.1', 17, 6);
  t('1E-21', '1E-18', '-0.000000000000000000999', 46, 0);
  t('1E-19', '1E-23', '0.00000000000000000009999', 27, 4);
  t('1E-24', '1E-19', '-0.000000000000000000099999', 41, 0);
  t('1E-26', '1E-20', '-0.00000000000000000000999999', 53, 0);
  t('1E-19', '0.1', '-0.0999999999999999999', 80, 5);
  t('1E-14', '1E-24', '0.000000000000009999999999', 12, 3);
  t('1E-19', '1E-17', '-0.0000000000000000099', 59, 5);
  t('1E-27', '1E-22', '-0.000000000000000000000099999', 72, 4);
  t('1E-28', '1E-8', '-0.0000000099999999999999999999', 40, 2);
  t('1E-32', '1E-34', '0.0000000000000000000000000000000099', 60, 3);
  t('1E-23', '0.1', '-0.09999999999999999999999', 32, 5);
  t('0.01', '1E-26', '0.00999999999999999999999999', 100, 4);
  t('1E-22', '0.01', '-0.0099999999999999999999', 62, 1);
  t('1E-15', '1E-7', '-0.000000099999999', 57, 3);
  t('1E-11', '1E-7', '-0.00000009999', 51, 4);
  t('0.001', '1E-17', '0.00099999999999999', 19, 0);
  t('1E-12', '0.001', '-0.00099999', 5, 2);
  t('1E-24', '1E-14', '-0.000000000000009999999999', 22, 2);
  t('0.1', '1E-27', '0.099999999999999999999999999', 27, 3);
  t('1E-18', '1E-33', '0.000000000000000000999999999999999', 98, 2);
  t('0.1', '1E-17', '0.09999999999999999', 48, 6);
  t('1E-30', '1E-33', '0.000000000000000000000000000000999', 34, 2);
  t('1E-31', '1E-10', '-0.0000000000999999999999999999999', 37, 2);
  t('1E-28', '1E-12', '-0.000000000001', 14, 3);
  t('1E-23', '1E-19', '-0.00000000000000000009999', 41, 4);
  t('1E-8', '1E-9', '0.000000009', 31, 2);
  t('1E-17', '1E-8', '-0.00000000999999999', 67, 4);
  t('1E-31', '1E-17', '-0.0000000000000000099999999999999', 67, 6);
  t('0.000001', '1E-24', '0.000000999999999999999999', 93, 0);
  t('1E-17', '1E-33', '0.000000000000000009999999999999999', 57, 2);
  t('1E-28', '1E-10', '-0.0000000000999999999999999999', 71, 4);
  t('1E-17', '1E-26', '0.00000000000000000999999999', 82, 0);
  t('0.1', '0.00001', '0.09999', 67, 2);
  t('1E-21', '1E-25', '0.0000000000000000000009999', 93, 3);
  t('1E-19', '0.1', '-0.0999999999999999999', 64, 1);
  t('1E-10', '1E-21', '0.000000000099999999999', 49, 0);
  t('1E-37', '1E-16', '-0.0000000000000000999999999999999999999', 74, 0);
  t('1E-31', '1E-33', '0.000000000000000000000000000000099', 2, 4);
  t('1E-21', '1E-28', '0.0000000000000000000009999999', 54, 5);
  t('1E-26', '1E-28', '0.0000000000000000000000000099', 5, 3);
  t('1E-28', '1E-32', '0.00000000000000000000000000009999', 72, 5);
  t('1E-9', '1E-26', '0.00000000099999999999999999', 34, 4);
  t('1E-40', '1E-12', '-0.0000000000009999999999999999999999999999', 98, 1);
  t('1E-30', '0.0001', '-0.000099999999999999999999999999', 59, 5);
  t('1E-40', '1E-30', '-0.0000000000000000000000000000009999999999', 39, 0);
  t('1E-33', '1E-17', '-0.000000000000000009999999999999999', 30, 0);
  t('1E-37', '1E-16', '-0.0000000000000000999999999999999999999', 82, 1);
  t('0.1', '1E-11', '0.09999999999', 88, 1);
  t('1E-14', '0.1', '-0.09999999999999', 62, 6);
  t('0.001', '1E-14', '0.00099999999999', 56, 1);
  t('1E-20', '1E-9', '-0.00000000099999999999', 34, 0);
  t('1E-39', '1E-34', '-0.000000000000000000000000000000000099999', 73, 4);
  t('1E-14', '1E-31', '0.0000000000000099999999999999999', 42, 1);
  t('1E-31', '1E-12', '-0.0000000000009999999999999999999', 34, 6);
  t('0.01', '1E-30', '0.009999999999999999999999999999', 60, 6);
  t('1E-30', '1E-14', '-0.000000000000009999999999999999', 70, 2);
  t('0.01', '1E-17', '0.00999999999999999', 31, 5);
  t('1E-22', '0.001', '-0.0009999999999999999999', 46, 4);
  t('1E-35', '1E-31', '-0.00000000000000000000000000000009999', 10, 6);
  t('0.1', '1E-28', '0.1', 23, 5);
  t('0.00001', '1E-40', '0.00001', 2, 4);
  t('0.00001', '1E-35', '0.0000099999999999999999999999', 23, 1);
  t('1E-25', '1E-12', '-0.0000000000009999999999999', 85, 0);
  t('0.00001', '1E-29', '0.00000999999999999999999999999', 90, 0);
  t('0.0001', '1E-22', '0.0000999999999999999999', 20, 3);
  t('1E-19', '1E-25', '0.0000000000000000000999999', 87, 4);
  t('1E-22', '1E-23', '0.00000000000000000000009', 22, 6);
  t('1E-21', '1E-23', '0.00000000000000000000099', 23, 6);
  t('1E-12', '1E-7', '-0.000000099999', 55, 0);
  t('0.000001', '1E-17', '0.00000099999999999', 19, 1);
  t('1E-17', '1E-19', '0.0000000000000000099', 90, 4);
  t('1E-16', '1E-37', '0.0000000000000000999999999999999999999', 50, 1);
  t('1E-9', '1E-31', '0.0000000009999999999999999999999', 37, 2);
  t('1E-35', '0.1', '-0.09999999999999999999999999999999999', 87, 2);
  t('1E-32', '1E-13', '-0.0000000000001', 15, 5);
  t('1E-10', '1E-18', '0.000000000099999999', 91, 3);
  t('0.1', '1E-25', '0.099999999999999999', 17, 3);
  t('1E-32', '1E-21', '-0.000000000000000000001', 10, 0);
  t('1E-23', '1E-10', '-0.00000000009999999999999', 77, 0);
  t('1E-20', '1E-18', '-0.00000000000000000099', 71, 0);
  t('1E-17', '0.01', '-0.00999999999999999', 76, 6);
  t('1E-18', '1E-15', '-0.000000000000000999', 70, 1);
  t('1E-34', '1E-31', '-0.0000000000000000000000000000000999', 21, 0);
  t('0.1', '1E-28', '0.0999999999999999999999999999', 72, 2);
  t('1E-27', '1E-30', '0.000000000000000000000000000999', 76, 1);
  t('1E-14', '1E-11', '-0.00000000000999', 95, 2);
  t('1E-19', '1E-18', '-0.0000000000000000009', 43, 2);
  t('1E-26', '1E-28', '0.0000000000000000000000000099', 87, 5);
  t('1E-39', '1E-36', '-0.000000000000000000000000000000000000999', 97, 5);
  t('0.000001', '1E-35', '0.00000099999999999999999999999999999', 40, 1);
  t('1E-20', '1E-27', '0.000000000000000000009999999', 32, 1);
  t('1E-17', '0.1', '-0.09999999999999999', 30, 0);
  t('1E-37', '0.000001', '-0.0000009999999999999999999999999999999', 33, 6);
  t('1E-8', '1E-36', '0.000000009999999999999999999999999999', 46, 4);
  t('0.1', '1E-25', '0.0999999999999999999999999', 75, 1);
  t('1E-21', '1E-13', '-0.000000000000099999999', 45, 6);
  t('1E-28', '1E-13', '-0.0000000000000999999999999999', 63, 6);
  t('0.0001', '1E-23', '0.00009999999999999999999', 39, 2);
  t('1E-33', '1E-19', '-0.000000000000000000099999999999999', 15, 1);
  t('1E-38', '1E-24', '-0.00000000000000000000000099999999999999', 20, 2);
  t('1E-37', '1E-27', '-0.0000000000000000000000000009999999999', 24, 4);
  t('1E-29', '1E-18', '-0.00000000000000000099999999999', 92, 3);
  t('1E-7', '1E-34', '0.0000000999999999999999999999999999', 96, 1);
  t('0.00001', '1E-25', '0.0000099999999999999999999', 93, 0);
  t('1E-30', '1E-36', '0.000000000000000000000000000000999999', 37, 6);
  t('1E-24', '1E-37', '0.0000000000000000000000009999999999999', 85, 5);
  t('1E-21', '0.001', '-0.001', 17, 6);
  t('1E-31', '1E-23', '-0.0000000000000000000000099999999', 75, 2);
  t('0.000001', '1E-40', '0.0000009', 1, 3);
  t('1E-25', '1E-17', '-0.0000000000000000099999999', 37, 2);
  t('0.1', '1E-31', '0.0999999999999999999999999999999', 50, 3);
  t('1E-33', '1E-23', '-0.000000000000000000000009999999999', 95, 5);
  t('1E-32', '1E-35', '0.00000000000000000000000000000000999', 4, 1);
  t('1E-8', '1E-9', '0.000000009', 64, 5);
  t('1E-11', '1E-17', '0.00000000000999999', 67, 5);
  t('0.00001', '1E-12', '0.000009999999', 80, 4);
  t('0.001', '1E-12', '0.000999999999', 27, 5);
  t('1E-40', '1E-39', '-0.0000000000000000000000000000000000000009', 4, 2);
  t('1E-13', '1E-15', '0.000000000000099', 51, 2);
  t('0.1', '0.01', '0.09', 21, 0);
  t('1E-35', '1E-39', '0.000000000000000000000000000000000009999', 50, 5);
  t('0.1', '1E-37', '0.0999999999999999999999999999999999999', 93, 0);
  t('0.1', '1E-31', '0.0999999999999999999999999999999', 31, 1);
  t('1E-12', '1E-35', '0.00000000000099999999999999999999999', 43, 3);
  t('1E-10', '1E-22', '0.00000000009', 1, 3);
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});