import math import math.complex as cmplx fn tst_res(str1 string, str2 string) bool { if (math.abs(str1.f64() - str2.f64())) < 1e-5 { return true } return false } fn test_complex_addition() { // Test is based on and verified from practice examples of Khan Academy // https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers mut c1 := cmplx.complex(0,-10) mut c2 := cmplx.complex(-40,8) mut result := c1 + c2 assert result.equals(cmplx.complex(-40,-2)) c1 = cmplx.complex(-71,2) c2 = cmplx.complex(88,-12) result = c1 + c2 assert result.equals(cmplx.complex(17,-10)) c1 = cmplx.complex(0,-30) c2 = cmplx.complex(52,-30) result = c1 + c2 assert result.equals(cmplx.complex(52,-60)) c1 = cmplx.complex(12,-9) c2 = cmplx.complex(32,-6) result = c1 + c2 assert result.equals(cmplx.complex(44,-15)) } fn test_complex_subtraction() { // Test is based on and verified from practice examples of Khan Academy // https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers mut c1 := cmplx.complex(-8,0) mut c2 := cmplx.complex(6,30) mut result := c1 - c2 assert result.equals(cmplx.complex(-14,-30)) c1 = cmplx.complex(-19,7) c2 = cmplx.complex(29,32) result = c1 - c2 assert result.equals(cmplx.complex(-48,-25)) c1 = cmplx.complex(12,0) c2 = cmplx.complex(23,13) result = c1 - c2 assert result.equals(cmplx.complex(-11,-13)) c1 = cmplx.complex(-14,3) c2 = cmplx.complex(0,14) result = c1 - c2 assert result.equals(cmplx.complex(-14,-11)) } fn test_complex_multiplication() { // Test is based on and verified from practice examples of Khan Academy // https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers mut c1 := cmplx.complex(1,2) mut c2 := cmplx.complex(1,-4) mut result := c1 * c2 assert result.equals(cmplx.complex(9,-2)) c1 = cmplx.complex(-4,-4) c2 = cmplx.complex(-5,-3) result = c1 * c2 assert result.equals(cmplx.complex(8,32)) c1 = cmplx.complex(4,4) c2 = cmplx.complex(-2,-5) result = c1 * c2 assert result.equals(cmplx.complex(12,-28)) c1 = cmplx.complex(2,-2) c2 = cmplx.complex(4,-4) result = c1 * c2 assert result.equals(cmplx.complex(0,-16)) } fn test_complex_division() { // Test is based on and verified from practice examples of Khan Academy // https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers mut c1 := cmplx.complex(-9,-6) mut c2 := cmplx.complex(-3,-2) mut result := c1 / c2 assert result.equals(cmplx.complex(3,0)) c1 = cmplx.complex(-23,11) c2 = cmplx.complex(5,1) result = c1 / c2 assert result.equals(cmplx.complex(-4,3)) c1 = cmplx.complex(8,-2) c2 = cmplx.complex(-4,1) result = c1 / c2 assert result.equals(cmplx.complex(-2,0)) c1 = cmplx.complex(11,24) c2 = cmplx.complex(-4,-1) result = c1 / c2 assert result.equals(cmplx.complex(-4,-5)) } fn test_complex_conjugate() { // Test is based on and verified from practice examples of Khan Academy // https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers mut c1 := cmplx.complex(0,8) mut result := c1.conjugate() assert result.equals(cmplx.complex(0,-8)) c1 = cmplx.complex(7,3) result = c1.conjugate() assert result.equals(cmplx.complex(7,-3)) c1 = cmplx.complex(2,2) result = c1.conjugate() assert result.equals(cmplx.complex(2,-2)) c1 = cmplx.complex(7,0) result = c1.conjugate() assert result.equals(cmplx.complex(7,0)) } fn test_complex_equals() { mut c1 := cmplx.complex(0,8) mut c2 := cmplx.complex(0,8) assert c1.equals(c2) c1 = cmplx.complex(-3,19) c2 = cmplx.complex(-3,19) assert c1.equals(c2) } fn test_complex_abs() { mut c1 := cmplx.complex(3,4) assert c1.abs() == 5 c1 = cmplx.complex(1,2) assert c1.abs().eq(math.sqrt(5)) assert c1.abs().eq(c1.conjugate().abs()) c1 = cmplx.complex(7,0) assert c1.abs() == 7 } fn test_complex_angle(){ // Test is based on and verified from practice examples of Khan Academy // https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers mut c := cmplx.complex(1, 0) assert (c.angle() * 180 / math.pi).eq(0) c = cmplx.complex(1, 1) assert (c.angle() * 180 / math.pi).eq(45) c = cmplx.complex(0, 1) assert (c.angle() * 180 / math.pi).eq(90) c = cmplx.complex(-1, 1) assert (c.angle() * 180 / math.pi).eq(135) c = cmplx.complex(-1, -1) assert (c.angle() * 180 / math.pi).eq(-135) cc := c.conjugate() assert (cc.angle() + c.angle()).eq(0) } fn test_complex_addinv() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(-5,-7) mut result := c1.addinv() assert result.equals(c2) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(3,-4) result = c1.addinv() assert result.equals(c2) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(1,2) result = c1.addinv() assert result.equals(c2) } fn test_complex_mulinv() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.067568,-0.094595) mut result := c1.mulinv() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.12,-0.16) result = c1.mulinv() assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.2,0.4) result = c1.mulinv() assert result.equals(c2) } fn test_complex_mod() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut result := c1.mod() // Some issue with precision comparison in f64 using == operator hence serializing to string assert tst_res(result.str(), '8.602325') c1 = cmplx.complex(-3,4) result = c1.mod() assert result == 5 c1 = cmplx.complex(-1,-2) result = c1.mod() // Some issue with precision comparison in f64 using == operator hence serializing to string assert tst_res(result.str(), '2.236068') } fn test_complex_pow() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(-24.0,70.0) mut result := c1.pow(2) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(117,44) result = c1.pow(3) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-7,-24) result = c1.pow(4) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_root() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(2.607904,1.342074) mut result := c1.root(2) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(1.264953,1.150614) result = c1.root(3) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(1.068059,-0.595482) result = c1.root(4) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_exp() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(111.889015,97.505457) mut result := c1.exp() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.032543,-0.037679) result = c1.exp() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.153092,-0.334512) result = c1.exp() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_ln() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(2.152033,0.950547) mut result := c1.ln() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(1.609438,2.214297) result = c1.ln() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(0.804719,-2.034444) result = c1.ln() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_arg() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(2.152033,0.950547) mut result := c1.arg() // Some issue with precision comparison in f64 using == operator hence serializing to string assert tst_res(result.str(), '0.950547') c1 = cmplx.complex(-3,4) c2 = cmplx.complex(1.609438,2.214297) result = c1.arg() // Some issue with precision comparison in f64 using == operator hence serializing to string assert tst_res(result.str(), '2.214297') c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(0.804719,-2.034444) result = c1.arg() // Some issue with precision comparison in f64 using == operator hence serializing to string assert tst_res(result.str(), '-2.034444') } fn test_complex_log() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut b1 := cmplx.complex(-6,-2) mut c2 := cmplx.complex(0.232873,-1.413175) mut result := c1.log(b1) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) b1 = cmplx.complex(3,-1) c2 = cmplx.complex(0.152198,-0.409312) result = c1.log(b1) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) b1 = cmplx.complex(0,9) c2 = cmplx.complex(-0.298243,1.197981) result = c1.log(b1) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_cpow() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut r1 := cmplx.complex(2,2) mut c2 := cmplx.complex(11.022341,-0.861785) mut result := c1.cpow(r1) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) r1 = cmplx.complex(-4,-2) c2 = cmplx.complex(0.118303,0.063148) result = c1.cpow(r1) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) r1 = cmplx.complex(8,-9) c2 = cmplx.complex(-0.000000,0.000007) result = c1.cpow(r1) // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_sin() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(-525.794515,155.536550) mut result := c1.sin() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-3.853738,-27.016813) result = c1.sin() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-3.165779,-1.959601) result = c1.sin() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_cos() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(155.536809,525.793641) mut result := c1.cos() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-27.034946,3.851153) result = c1.cos() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(2.032723,-3.051898) result = c1.cos() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_tan() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(-0.000001,1.000001) mut result := c1.tan() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(0.000187,0.999356) result = c1.tan() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.033813,-1.014794) result = c1.tan() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_cot() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(-0.000001,-0.999999) mut result := c1.cot() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(0.000188,-1.000644) result = c1.cot() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.032798,0.984329) result = c1.cot() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_sec() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.000517,-0.001749) mut result := c1.sec() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.036253,-0.005164) result = c1.sec() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(0.151176,0.226974) result = c1.sec() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_csc() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(-0.001749,-0.000517) mut result := c1.csc() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.005174,0.036276) result = c1.csc() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.228375,0.141363) result = c1.csc() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_asin() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.617064,2.846289) mut result := c1.asin() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.633984,2.305509) result = c1.asin() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.427079,-1.528571) result = c1.asin() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_acos() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.953732,-2.846289) mut result := c1.acos() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(2.204780,-2.305509) result = c1.acos() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(1.997875,1.528571) result = c1.acos() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_atan() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(1.502727,0.094441) mut result := c1.atan() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-1.448307,0.158997) result = c1.atan() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-1.338973,-0.402359) result = c1.atan() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_acot() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.068069,-0.094441) mut result := c1.acot() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.122489,-0.158997) result = c1.acot() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.231824,0.402359) result = c1.acot() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_asec() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(1.503480,0.094668) mut result := c1.asec() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(1.689547,0.160446) result = c1.asec() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(1.757114,-0.396568) result = c1.asec() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_acsc() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.067317,-0.094668) mut result := c1.acsc() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.118751,-0.160446) result = c1.acsc() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.186318,0.396568) result = c1.acsc() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_sinh() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(55.941968,48.754942) mut result := c1.sinh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(6.548120,-7.619232) result = c1.sinh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(0.489056,-1.403119) result = c1.sinh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_cosh() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(55.947047,48.750515) mut result := c1.cosh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-6.580663,7.581553) result = c1.cosh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.642148,1.068607) result = c1.cosh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_tanh() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.999988,0.000090) mut result := c1.tanh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-1.000710,0.004908) result = c1.tanh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-1.166736,0.243458) result = c1.tanh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_coth() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(1.000012,-0.000090) mut result := c1.coth() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.999267,-0.004901) result = c1.coth() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.821330,-0.171384) result = c1.coth() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_sech() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.010160,-0.008853) mut result := c1.sech() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.065294,-0.075225) result = c1.sech() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.413149,-0.687527) result = c1.sech() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_csch() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.010159,-0.008854) mut result := c1.csch() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(0.064877,0.075490) result = c1.csch() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(0.221501,0.635494) result = c1.csch() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_asinh() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(2.844098,0.947341) mut result := c1.asinh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-2.299914,0.917617) result = c1.asinh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-1.469352,-1.063440) result = c1.asinh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_acosh() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(2.846289,0.953732) mut result := c1.acosh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(2.305509,2.204780) result = c1.acosh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(1.528571,-1.997875) result = c1.acosh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_atanh() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.067066,1.476056) mut result := c1.atanh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.117501,1.409921) result = c1.atanh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.173287,-1.178097) result = c1.atanh() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_acoth() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.067066,-0.094740) mut result := c1.acoth() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.117501,-0.160875) result = c1.acoth() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.173287,0.392699) result = c1.acoth() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } // fn test_complex_asech() { // // Tests were also verified on Wolfram Alpha // mut c1 := cmplx.complex(5,7) // mut c2 := cmplx.complex(0.094668,-1.503480) // mut result := c1.asech() // // Some issue with precision comparison in f64 using == operator hence serializing to string // assert result.str().eq(c2.str()) // c1 = cmplx.complex(-3,4) // c2 = cmplx.complex(0.160446,-1.689547) // result = c1.asech() // // Some issue with precision comparison in f64 using == operator hence serializing to string // assert result.str().eq(c2.str()) // c1 = cmplx.complex(-1,-2) // c2 = cmplx.complex(0.396568,1.757114) // result = c1.asech() // // Some issue with precision comparison in f64 using == operator hence serializing to string // assert result.str().eq(c2.str()) // } fn test_complex_acsch() { // Tests were also verified on Wolfram Alpha mut c1 := cmplx.complex(5,7) mut c2 := cmplx.complex(0.067819,-0.094518) mut result := c1.acsch() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-3,4) c2 = cmplx.complex(-0.121246,-0.159507) result = c1.acsch() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) c1 = cmplx.complex(-1,-2) c2 = cmplx.complex(-0.215612,0.401586) result = c1.acsch() // Some issue with precision comparison in f64 using == operator hence serializing to string assert result.str().eq(c2.str()) } fn test_complex_re_im() { c := cmplx.complex(2.1, 9.05) assert c.re == 2.1 assert c.im == 9.05 }