v/vlib/cmath/complex_test.v

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import math
import cmath
// Tests are based on and verified from practice examples of Khan Academy
// https://www.khanacademy.org/math/precalculus/imaginary-and-complex-numbers
fn test_complex_addition() {
mut c1 := cmath.complex(0,-10)
mut c2 := cmath.complex(-40,8)
mut result := c1 + c2
assert result.equals(cmath.complex(-40,-2))
c1 = cmath.complex(-71,2)
c2 = cmath.complex(88,-12)
result = c1 + c2
assert result.equals(cmath.complex(17,-10))
c1 = cmath.complex(0,-30)
c2 = cmath.complex(52,-30)
result = c1 + c2
assert result.equals(cmath.complex(52,-60))
c1 = cmath.complex(12,-9)
c2 = cmath.complex(32,-6)
result = c1 + c2
assert result.equals(cmath.complex(44,-15))
}
fn test_complex_subtraction() {
mut c1 := cmath.complex(-8,0)
mut c2 := cmath.complex(6,30)
mut result := c1 - c2
assert result.equals(cmath.complex(-14,-30))
c1 = cmath.complex(-19,7)
c2 = cmath.complex(29,32)
result = c1 - c2
assert result.equals(cmath.complex(-48,-25))
c1 = cmath.complex(12,0)
c2 = cmath.complex(23,13)
result = c1 - c2
assert result.equals(cmath.complex(-11,-13))
c1 = cmath.complex(-14,3)
c2 = cmath.complex(0,14)
result = c1 - c2
assert result.equals(cmath.complex(-14,-11))
}
fn test_complex_multiplication() {
mut c1 := cmath.complex(1,2)
mut c2 := cmath.complex(1,-4)
mut result := c1.multiply(c2)
assert result.equals(cmath.complex(9,-2))
c1 = cmath.complex(-4,-4)
c2 = cmath.complex(-5,-3)
result = c1.multiply(c2)
assert result.equals(cmath.complex(8,32))
c1 = cmath.complex(4,4)
c2 = cmath.complex(-2,-5)
result = c1.multiply(c2)
assert result.equals(cmath.complex(12,-28))
c1 = cmath.complex(2,-2)
c2 = cmath.complex(4,-4)
result = c1.multiply(c2)
assert result.equals(cmath.complex(0,-16))
}
fn test_complex_division() {
mut c1 := cmath.complex(-9,-6)
mut c2 := cmath.complex(-3,-2)
mut result := c1.divide(c2)
assert result.equals(cmath.complex(3,0))
c1 = cmath.complex(-23,11)
c2 = cmath.complex(5,1)
result = c1.divide(c2)
assert result.equals(cmath.complex(-4,3))
c1 = cmath.complex(8,-2)
c2 = cmath.complex(-4,1)
result = c1.divide(c2)
assert result.equals(cmath.complex(-2,0))
c1 = cmath.complex(11,24)
c2 = cmath.complex(-4,-1)
result = c1.divide(c2)
assert result.equals(cmath.complex(-4,-5))
}
fn test_complex_conjugate() {
mut c1 := cmath.complex(0,8)
mut result := c1.conjugate()
assert result.equals(cmath.complex(0,-8))
c1 = cmath.complex(7,3)
result = c1.conjugate()
assert result.equals(cmath.complex(7,-3))
c1 = cmath.complex(2,2)
result = c1.conjugate()
assert result.equals(cmath.complex(2,-2))
c1 = cmath.complex(7,0)
result = c1.conjugate()
assert result.equals(cmath.complex(7,0))
}
fn test_complex_equals() {
mut c1 := cmath.complex(0,8)
mut c2 := cmath.complex(0,8)
assert c1.equals(c2)
c1 = cmath.complex(-3,19)
c2 = cmath.complex(-3,19)
assert c1.equals(c2)
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}
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fn test_complex_abs() {
mut c1 := cmath.complex(3,4)
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assert c1.abs() == 5
c1 = cmath.complex(1,2)
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assert c1.abs() == math.sqrt(5)
assert c1.abs() == c1.conjugate().abs()
c1 = cmath.complex(7,0)
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assert c1.abs() == 7
}
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fn test_complex_angle(){
mut c := cmath.complex(1, 0)
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assert c.angle() * 180 / math.Pi == 0
c = cmath.complex(1, 1)
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assert c.angle() * 180 / math.Pi == 45
c = cmath.complex(0, 1)
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assert c.angle() * 180 / math.Pi == 90
c = cmath.complex(-1, 1)
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assert c.angle() * 180 / math.Pi == 135
c = cmath.complex(-1, -1)
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assert c.angle() * 180 / math.Pi == -135
mut cc := c.conjugate()
assert cc.angle() + c.angle() == 0
}
fn test_complex_addinv() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.complex(-5,-7)
mut result := c1.addinv()
assert result.equals(c2)
c1 = cmath.complex(-3,4)
c2 = cmath.complex(3,-4)
result = c1.addinv()
assert result.equals(c2)
c1 = cmath.complex(-1,-2)
c2 = cmath.complex(1,2)
result = c1.addinv()
assert result.equals(c2)
}
fn test_complex_mulinv() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.complex(-0.12,-0.16)
result = c1.mulinv()
assert result.str().eq(c2.str())
c1 = cmath.complex(-1,-2)
c2 = cmath.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 := cmath.complex(5,7)
mut result := c1.mod()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq('8.602325')
c1 = cmath.complex(-3,4)
result = c1.mod()
assert result == 5
c1 = cmath.complex(-1,-2)
result = c1.mod()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq('2.236068')
}
fn test_complex_pow() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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())
}
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fn test_complex_sin() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.complex(-525.794515,155.536550)
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mut result := c1.sin()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-3,4)
c2 = cmath.complex(-3.853738,-27.016813)
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result = c1.sin()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-1,-2)
c2 = cmath.complex(-3.165779,-1.959601)
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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 := cmath.complex(5,7)
mut c2 := cmath.complex(155.536809,525.793641)
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mut result := c1.cos()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-3,4)
c2 = cmath.complex(-27.034946,3.851153)
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result = c1.cos()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-1,-2)
c2 = cmath.complex(2.032723,-3.051898)
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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 := cmath.complex(5,7)
mut c2 := cmath.complex(-0.000001,1.000001)
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mut result := c1.tan()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-3,4)
c2 = cmath.complex(0.000187,0.999356)
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result = c1.tan()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-1,-2)
c2 = cmath.complex(-0.033813,-1.014794)
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result = c1.tan()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
}
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fn test_complex_asin() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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())
}
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fn test_complex_sinh() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.complex(55.941968,48.754942)
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mut result := c1.sinh()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-3,4)
c2 = cmath.complex(6.548120,-7.619232)
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result = c1.sinh()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-1,-2)
c2 = cmath.complex(0.489056,-1.403119)
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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 := cmath.complex(5,7)
mut c2 := cmath.complex(55.947047,48.750515)
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mut result := c1.cosh()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-3,4)
c2 = cmath.complex(-6.580663,7.581553)
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result = c1.cosh()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-1,-2)
c2 = cmath.complex(-0.642148,1.068607)
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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 := cmath.complex(5,7)
mut c2 := cmath.complex(0.999988,0.000090)
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mut result := c1.tanh()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-3,4)
c2 = cmath.complex(-1.000710,0.004908)
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result = c1.tanh()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
c1 = cmath.complex(-1,-2)
c2 = cmath.complex(-1.166736,0.243458)
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result = c1.tanh()
// Some issue with precision comparison in f64 using == operator hence serializing to string
assert result.str().eq(c2.str())
}
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fn test_complex_asinh() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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())
}
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fn test_complex_atanh() {
// Tests were also verified on Wolfram Alpha
mut c1 := cmath.complex(5,7)
mut c2 := cmath.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 = cmath.complex(-3,4)
c2 = cmath.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 = cmath.complex(-1,-2)
c2 = cmath.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())
}