799 lines
28 KiB
V
799 lines
28 KiB
V
import math
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import math.complex as cmplx
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fn tst_res(str1 string, str2 string) bool {
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if (math.abs(str1.f64() - str2.f64())) < 1e-5 {
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return true
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}
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return false
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}
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fn test_complex_addition() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(0, -10)
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mut c2 := cmplx.complex(-40, 8)
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mut result := c1 + c2
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assert result.equals(cmplx.complex(-40, -2))
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c1 = cmplx.complex(-71, 2)
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c2 = cmplx.complex(88, -12)
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result = c1 + c2
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assert result.equals(cmplx.complex(17, -10))
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c1 = cmplx.complex(0, -30)
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c2 = cmplx.complex(52, -30)
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result = c1 + c2
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assert result.equals(cmplx.complex(52, -60))
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c1 = cmplx.complex(12, -9)
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c2 = cmplx.complex(32, -6)
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result = c1 + c2
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assert result.equals(cmplx.complex(44, -15))
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}
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fn test_complex_subtraction() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(-8, 0)
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mut c2 := cmplx.complex(6, 30)
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mut result := c1 - c2
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assert result.equals(cmplx.complex(-14, -30))
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c1 = cmplx.complex(-19, 7)
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c2 = cmplx.complex(29, 32)
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result = c1 - c2
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assert result.equals(cmplx.complex(-48, -25))
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c1 = cmplx.complex(12, 0)
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c2 = cmplx.complex(23, 13)
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result = c1 - c2
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assert result.equals(cmplx.complex(-11, -13))
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c1 = cmplx.complex(-14, 3)
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c2 = cmplx.complex(0, 14)
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result = c1 - c2
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assert result.equals(cmplx.complex(-14, -11))
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}
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fn test_complex_multiplication() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(1, 2)
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mut c2 := cmplx.complex(1, -4)
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mut result := c1 * c2
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assert result.equals(cmplx.complex(9, -2))
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c1 = cmplx.complex(-4, -4)
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c2 = cmplx.complex(-5, -3)
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result = c1 * c2
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assert result.equals(cmplx.complex(8, 32))
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c1 = cmplx.complex(4, 4)
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c2 = cmplx.complex(-2, -5)
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result = c1 * c2
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assert result.equals(cmplx.complex(12, -28))
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c1 = cmplx.complex(2, -2)
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c2 = cmplx.complex(4, -4)
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result = c1 * c2
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assert result.equals(cmplx.complex(0, -16))
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}
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fn test_complex_division() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(-9, -6)
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mut c2 := cmplx.complex(-3, -2)
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mut result := c1 / c2
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assert result.equals(cmplx.complex(3, 0))
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c1 = cmplx.complex(-23, 11)
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c2 = cmplx.complex(5, 1)
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result = c1 / c2
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assert result.equals(cmplx.complex(-4, 3))
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c1 = cmplx.complex(8, -2)
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c2 = cmplx.complex(-4, 1)
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result = c1 / c2
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assert result.equals(cmplx.complex(-2, 0))
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c1 = cmplx.complex(11, 24)
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c2 = cmplx.complex(-4, -1)
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result = c1 / c2
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assert result.equals(cmplx.complex(-4, -5))
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}
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fn test_complex_conjugate() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c1 := cmplx.complex(0, 8)
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mut result := c1.conjugate()
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assert result.equals(cmplx.complex(0, -8))
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c1 = cmplx.complex(7, 3)
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result = c1.conjugate()
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assert result.equals(cmplx.complex(7, -3))
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c1 = cmplx.complex(2, 2)
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result = c1.conjugate()
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assert result.equals(cmplx.complex(2, -2))
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c1 = cmplx.complex(7, 0)
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result = c1.conjugate()
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assert result.equals(cmplx.complex(7, 0))
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}
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fn test_complex_equals() {
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mut c1 := cmplx.complex(0, 8)
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mut c2 := cmplx.complex(0, 8)
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assert c1.equals(c2)
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c1 = cmplx.complex(-3, 19)
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c2 = cmplx.complex(-3, 19)
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assert c1.equals(c2)
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}
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fn test_complex_abs() {
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mut c1 := cmplx.complex(3, 4)
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assert c1.abs() == 5
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c1 = cmplx.complex(1, 2)
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assert c1.abs() == math.sqrt(5)
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assert c1.abs() == c1.conjugate().abs()
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c1 = cmplx.complex(7, 0)
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assert c1.abs() == 7
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}
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fn test_complex_angle() {
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// Test is based on and verified from practice examples of Khan Academy
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// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
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mut c := cmplx.complex(1, 0)
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assert c.angle() * 180 / math.pi == 0
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c = cmplx.complex(1, 1)
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assert c.angle() * 180 / math.pi == 45
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c = cmplx.complex(0, 1)
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assert c.angle() * 180 / math.pi == 90
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c = cmplx.complex(-1, 1)
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assert c.angle() * 180 / math.pi == 135
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c = cmplx.complex(-1, -1)
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assert c.angle() * 180 / math.pi == -135
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cc := c.conjugate()
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a := cc.angle()
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assert a + c.angle() == 0
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}
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fn test_complex_addinv() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(-5, -7)
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mut result := c1.addinv()
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assert result.equals(c2)
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(3, -4)
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result = c1.addinv()
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assert result.equals(c2)
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(1, 2)
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result = c1.addinv()
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assert result.equals(c2)
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}
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fn test_complex_mulinv() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(0.067568, -0.094595)
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mut result := c1.mulinv()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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println(c2.str())
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println(result.str())
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(-0.12, -0.16)
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result = c1.mulinv()
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(-0.2, 0.4)
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result = c1.mulinv()
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assert result.equals(c2)
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}
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fn test_complex_mod() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut result := c1.mod()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert tst_res(result.str(), '8.602325')
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c1 = cmplx.complex(-3, 4)
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result = c1.mod()
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assert result == 5
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c1 = cmplx.complex(-1, -2)
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result = c1.mod()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert tst_res(result.str(), '2.236068')
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}
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fn test_complex_pow() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(-24.0, 70.0)
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mut result := c1.pow(2)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(117, 44)
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result = c1.pow(3)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(-7, -24)
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result = c1.pow(4)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_root() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(2.607904, 1.342074)
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mut result := c1.root(2)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(1.264953, 1.150614)
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result = c1.root(3)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(1.068059, -0.595482)
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result = c1.root(4)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_exp() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(111.889015, 97.505457)
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mut result := c1.exp()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(-0.032543, -0.037679)
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result = c1.exp()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(-0.153092, -0.334512)
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result = c1.exp()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_ln() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(2.152033, 0.950547)
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mut result := c1.ln()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(1.609438, 2.214297)
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result = c1.ln()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(0.804719, -2.034444)
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result = c1.ln()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_arg() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(2.152033, 0.950547)
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mut result := c1.arg()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert tst_res(result.str(), '0.950547')
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(1.609438, 2.214297)
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result = c1.arg()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert tst_res(result.str(), '2.214297')
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(0.804719, -2.034444)
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result = c1.arg()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert tst_res(result.str(), '-2.034444')
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}
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fn test_complex_log() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut b1 := cmplx.complex(-6, -2)
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mut c2 := cmplx.complex(0.232873, -1.413175)
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mut result := c1.log(b1)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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b1 = cmplx.complex(3, -1)
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c2 = cmplx.complex(0.152198, -0.409312)
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result = c1.log(b1)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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b1 = cmplx.complex(0, 9)
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c2 = cmplx.complex(-0.298243, 1.197981)
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result = c1.log(b1)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_cpow() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut r1 := cmplx.complex(2, 2)
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mut c2 := cmplx.complex(11.022341, -0.861785)
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mut result := c1.cpow(r1)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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r1 = cmplx.complex(-4, -2)
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c2 = cmplx.complex(0.118303, 0.063148)
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result = c1.cpow(r1)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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r1 = cmplx.complex(8, -9)
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c2 = cmplx.complex(-0.000000, 0.000007)
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result = c1.cpow(r1)
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_sin() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(-525.794515, 155.536550)
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mut result := c1.sin()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(-3.853738, -27.016813)
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result = c1.sin()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(-3.165779, -1.959601)
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result = c1.sin()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_cos() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(155.536809, 525.793641)
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mut result := c1.cos()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(-27.034946, 3.851153)
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result = c1.cos()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(2.032723, -3.051898)
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result = c1.cos()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_tan() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(-0.000001, 1.000001)
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mut result := c1.tan()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(0.000187, 0.999356)
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result = c1.tan()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(-0.033813, -1.014794)
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result = c1.tan()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_cot() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(-0.000001, -0.999999)
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mut result := c1.cot()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-3, 4)
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c2 = cmplx.complex(0.000188, -1.000644)
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result = c1.cot()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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c1 = cmplx.complex(-1, -2)
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c2 = cmplx.complex(-0.032798, 0.984329)
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result = c1.cot()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
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assert result.str() == c2.str()
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}
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fn test_complex_sec() {
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// Tests were also verified on Wolfram Alpha
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mut c1 := cmplx.complex(5, 7)
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mut c2 := cmplx.complex(0.000517, -0.001749)
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mut result := c1.sec()
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// Some issue with precision comparison in f64 using == operator hence serializing to string
|
|
assert result.str() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() == 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() 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() == 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() == 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() == 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() == c2.str()
|
|
}
|
|
|
|
fn test_complex_re_im() {
|
|
c := cmplx.complex(2.1, 9.05)
|
|
assert c.re == 2.1
|
|
assert c.im == 9.05
|
|
}
|