24 lines
629 B
Zig
24 lines
629 B
Zig
const std = @import("../../std.zig");
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const testing = std.testing;
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const math = std.math;
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const cmath = math.complex;
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const Complex = cmath.Complex;
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/// Returns the hyperbolic arc-tangent of z.
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pub fn atanh(z: var) Complex(@typeOf(z.re)) {
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const T = @typeOf(z.re);
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const q = Complex(T).new(-z.im, z.re);
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const r = cmath.atan(q);
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return Complex(T).new(r.im, -r.re);
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}
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const epsilon = 0.0001;
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test "complex.catanh" {
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const a = Complex(f32).new(5, 3);
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const c = atanh(a);
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testing.expect(math.approxEq(f32, c.re, 0.146947, epsilon));
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testing.expect(math.approxEq(f32, c.im, 1.480870, epsilon));
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}
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