Exemplo n.º 1
0
func Cbrt(x complex128) complex128 {
	z := 1.0 + 0i
	for i := 0; i < 50; i++ {
		z = z - (cmplx.Pow(z, 3)-x)/(3.0*cmplx.Pow(z, 2))
	}
	return z
}
Exemplo n.º 2
0
func cbrt(x complex128) complex128 {
	z := x
	for i := 0; i < 10; i++ {
		z -= (cmplx.Pow(z, 3) - x) / (3 * cmplx.Pow(z, 2))
	}
	return z
}
func Cbrt(x complex128) complex128 {
	z := complex128(1)
	for i := 0; i < 10; i++ {
		z = z - ((cmplx.Pow(z, 3) - x) / (3 * cmplx.Pow(z, 2)))
	}
	return z
}
Exemplo n.º 4
0
func Cbrt(x complex128) complex128 {
	var z complex128 = 1.0
	for i := 0; i < 10; i++ {
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 2))
	}
	return z
}
Exemplo n.º 5
0
func Cbrt(x complex128) complex128 {
	z := x
	for i := 0; i < 10; i += 1 {
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 2))
	}
	return z
}
Exemplo n.º 6
0
func main() {
	x := Cbrt(2)
	fmt.Println(x)
	fmt.Println(cmplx.Pow(x, 3))
	x = Cbrt(complex(2, 2))
	fmt.Println(x)
	fmt.Println(cmplx.Pow(x, 3))
}
Exemplo n.º 7
0
/*
* 뉴턴의 방법 참고
* https://en.wikipedia.org/wiki/Newton%27s_method
* http://ntalbs.github.io/2014/07/25/newtons-method/
* http://nosyu.pe.kr/1169
* f(x) = x^3 - X 에서 시작.
* xn+1 = xn - (xn^3 - X) / 3xn^2
* 초기값은 1로
* 실제 2의 3제곱근은 1.259921049894873
* 5의 3제곱근은 1.709975946676697
*
 */
func Cbrt(x complex128) complex128 {
	var result complex128 = 1
	for i := 0; i < 10; i++ {
		result = result - ((cmplx.Pow(result, 3) - x) / (3 * cmplx.Pow(result, 2)))
	}

	return result
}
Exemplo n.º 8
0
func Cbrt(x complex128) complex128 {
	z := complex128(1)
	fmt.Println(z)
	for i := 0; i < 28; i++ {
		z = z - (cmplx.Pow(z, 3)-x)/(complex128(3)*cmplx.Pow(z, 3))
	}

	return z
}
Exemplo n.º 9
0
func MyCbrt(x complex128) complex128 {
	z, prev_z := x, x+1
	eps := math.Pow(10, -10)
	for float64(cmplx.Abs(z-prev_z))-eps > 0 {
		prev_z = z
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 3))
	}
	return z
}
Exemplo n.º 10
0
func Cbrt(x complex128) complex128 {
	z := complex128(1)

	for i := 0; i < 5; i++ { // How do we calculate how many iterations we need for it not to change the output?
		z -= (cmplx.Pow(z, complex128(3)) - x) / (3 * cmplx.Pow(z, complex128(2)))
	}

	return z
}
Exemplo n.º 11
0
func Cbrt(x complex128) complex128 {
	z := x
	for {
		pz := z
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 2))
		if cmplx.Abs(pz-z) < 1e-31 {
			return pz
		}
	}
}
Exemplo n.º 12
0
func cbrtByNewtonMethod(x complex128) complex128 {
	z0 := x / 2
	for {
		z1 := z0 - (cmplx.Pow(z0, 3)-x)/(3*cmplx.Pow(z0, 2))
		if cmplx.Abs(z1-z0) < 1e-15 {
			return z1
		}
		z0 = z1
	}
}
Exemplo n.º 13
0
func Cbrt(x complex128) complex128 {
	y := complex128(0)
	z := complex128(1)

	for y != z {
		y = z
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 2))
	}
	return z
}
Exemplo n.º 14
0
func Cbrt(x complex128) complex128 {
	z := complex128(3)
	for i := 0; i < 100; i++ {
		temp := z
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 2))
		temp = (z - temp)
		temp = temp * temp
	}
	return z
}
Exemplo n.º 15
0
func Cbrt(x complex128) complex128 {
	z := complex128(1)
	for {
		y := z
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 2))
		if cmplx.Abs(y-z) < 0.01 {
			break
		}
	}
	return z
}
Exemplo n.º 16
0
func Cbrt(x complex128) complex128 {
	z := complex128(1)
	for {
		z3 := cmplx.Pow(z, 3)
		if real(cmplx.Pow(z3-x, 2)) < 1e-5 {
			break
		}
		z = z - (z3-x)/(3*cmplx.Pow(z, 2))
	}
	return z
}
Exemplo n.º 17
0
Arquivo: tour50.go Projeto: roca/GO
func Cbrt(x complex128) complex128 {
	z := complex128(1)

	for i := 0; i < 10; i++ {
		znew := z - ((cmplx.Pow(z, 3) - x) / (3 * cmplx.Pow(z, 2)))
		z = znew
		fmt.Println("iterartion ", i, " : ", z)
	}

	return z
}
Exemplo n.º 18
0
func Cbrt(x complex128) complex128 {
	z := x
	last := complex128(0)
	var i int
	for i = 0; i < 10 && last != z; i++ {
		last = z
		z = z - ((cmplx.Pow(z, 3) - x) / (3 * cmplx.Pow(z, 2)))
		//fmt.Printf("last=%v, z=%v\n", last, z)
	}
	return z
}
Exemplo n.º 19
0
func Cbrt(x complex128) complex128 {
	var res complex128 = 1.0

	for delta := 1.0; delta > .000001; {
		old_res := res
		res3 := cmplx.Pow(res, 3)
		res2 := cmplx.Pow(res, 2)
		res = res - (res3-x)/(3*res2)
		delta = cmplx.Abs(res - old_res)
	}
	return res
}
Exemplo n.º 20
0
func Cbrt(x complex128) complex128 {
	z := complex128(1)
	avg := complex128(0)
	for {
		z = z - (cmplx.Pow(z, 3)-x)/(3*cmplx.Pow(z, 2))
		if cmplx.Abs(z-avg) < 1e-15 {
			break
		}
		avg = z
	}
	return z
}
Exemplo n.º 21
0
func main() {
	x0 := Cbrt(2)
	x1 := cmplx.Pow(2, 1.0/3)
	fmt.Println(x0)
	fmt.Println(x1)
	fmt.Println(cmplx.Abs(x0 - x1))
}
Exemplo n.º 22
0
func Cbrt(x complex128) complex128 {
	z := complex128(2)
	for i := 1; i < 11; i++ {
		z = z - (cmplx.Pow(z, 3)-x)/(3*(z*z))
	}
	return z
}
Exemplo n.º 23
0
func (self *ComplexV) Pow(x float64) *ComplexV {
	r := Zeros(len(*self))
	for k, a := range *self {
		(*r)[k] = cmplx.Pow(a, complex(x, 0.))
	}
	return r
}
Exemplo n.º 24
0
Arquivo: clac_ic.go Projeto: kpmy/clac
func init_MIXED_IC() {
	put(SUM, INTEGER, COMPLEX, c_(c_ir_(c_ir_c_(func(lr float64, rc complex128) (ret complex128) {
		return complex(lr, 0) + rc
	}))))

	put(DIFF, INTEGER, COMPLEX, c_(c_ir_(c_ir_c_(func(lr float64, rc complex128) (ret complex128) {
		return complex(lr, 0) - rc
	}))))

	put(MULT, INTEGER, COMPLEX, c_(c_ir_(c_ir_c_(func(lr float64, rc complex128) (ret complex128) {
		return complex(lr, 0) * rc
	}))))

	put(QUOT, INTEGER, COMPLEX, c_(c_ir_(c_ir_c_(func(lr float64, rc complex128) (ret complex128) {
		return complex(lr, 0) / rc
	}))))

	put(POW, INTEGER, COMPLEX, c_(c_ir_(c_ir_c_(func(lr float64, rc complex128) (ret complex128) {
		return cmplx.Pow(complex(lr, 0), rc)
	}))))

	put(EQ, INTEGER, COMPLEX, b_(b_ir_(b_ir_c_(func(lr float64, rc complex128) bool {
		return complex(lr, 0) == rc
	}))))

	put(NEQ, INTEGER, COMPLEX, b_(b_ir_(b_ir_c_(func(lr float64, rc complex128) bool {
		return complex(lr, 0) != rc
	}))))
}
Exemplo n.º 25
0
Arquivo: clac_ci.go Projeto: kpmy/clac
func init_MIXED_CI() {
	put(SUM, COMPLEX, INTEGER, c_(c_c_(c_c_ir_(func(lc complex128, rr float64) (ret complex128) {
		return lc + complex(rr, 0)
	}))))

	put(DIFF, COMPLEX, INTEGER, c_(c_c_(c_c_ir_(func(lc complex128, rr float64) (ret complex128) {
		return lc - complex(rr, 0)
	}))))

	put(MULT, COMPLEX, INTEGER, c_(c_c_(c_c_ir_(func(lc complex128, rr float64) (ret complex128) {
		return lc * complex(rr, 0)
	}))))

	put(QUOT, COMPLEX, INTEGER, c_(c_c_(c_c_ir_(func(lc complex128, rr float64) (ret complex128) {
		return lc / complex(rr, 0)
	}))))

	put(POW, COMPLEX, INTEGER, c_(c_c_(c_c_ir_(func(lc complex128, rr float64) (ret complex128) {
		return cmplx.Pow(lc, complex(rr, 0))
	}))))

	put(EQ, COMPLEX, INTEGER, b_(b_c_(b_c_ir_(func(lc complex128, rr float64) bool {
		return complex(rr, 0) == lc
	}))))

	put(NEQ, COMPLEX, INTEGER, b_(b_c_(b_c_ir_(func(lc complex128, rr float64) bool {
		return complex(rr, 0) == lc
	}))))
}
Exemplo n.º 26
0
func main() {
	cr1 := cmplx.Pow(2.0+3i, 1.0/3.0)
	cr2 := Cbrt(2 + 3i)
	fmt.Println("cmplx.Pow: ", cr1)
	fmt.Println("Cbrt: ", cr2)
	fmt.Println("Diff: ", cr2-cr1)
}
Exemplo n.º 27
0
func solve(floats [3]float64) (complex128, complex128) {
	a, b, c := complex(floats[0], 0), complex(floats[1], 0), complex(floats[2], 0)
	root := cmplx.Sqrt(cmplx.Pow(b, 2) - (4 * a * c))
	x1 := (-b + root) / (2 * a)
	x2 := (-b - root) / (2 * a)
	return x1, x2
}
Exemplo n.º 28
0
// #48 Advanced Exercise: Complex cube roots
func TestCbrt(t *testing.T) {
	for i := 1; i < 10; i++ {
		ret, ans := Cbrt(complex(float64(i), 0)), cmplx.Pow(complex(float64(i), 0), 1.0/3.0)
		if cmplx.Abs(ret-ans) > 0.001 {
			t.Errorf("Cbrt(%d) = %f, want %f.", i, ret, ans)
		}
	}
}
Exemplo n.º 29
0
// FreqZ return frequency response given filter coefficients.
// The name of this function is followed by Matlab.
func FreqZ(b, a []float64, N int) []complex128 {
	H := make([]complex128, N)

	for n := 0; n < N; n++ {
		z := cmplx.Exp(complex(0.0, -2.0*math.Pi*float64(n)/float64(N)))
		numerator, denominator := complex(0, 0), complex(0, 0)
		for i := range b {
			numerator += complex(b[len(b)-1-i], 0.0) *
				cmplx.Pow(z, complex(float64(i), 0))
		}
		for i := range a {
			denominator += complex(a[len(a)-1-i], 0.0) *
				cmplx.Pow(z, complex(float64(i), 0))
		}
		H[n] = numerator / denominator
	}

	return H
}
Exemplo n.º 30
0
func toInfinity(cNum complex128, iterations int) bool {
	z := cNum
	for j := 0; j < iterations; j++ {
		z = cmplx.Pow(z, 2.0) + cNum
		if cmplx.Abs(z) > 4 {
			return true
		}
	}
	return false
}