Golden ratio/Convergence: Difference between revisions

=={{header|Odin}}==

<syntaxhighlight lang="Go">

package golden

import "core:fmt"

import "core:math"

/* main block */

main :: proc() {

iterate()

}

/* definitions */

iterate :: proc() {

count: u32 = 0

phi0: f64 = 1.0

difference: f64 = 1.0

phi1: f64

fmt.println("\nGolden ratio/Convergence")

fmt.println("-----------------------------------------")

for (1.0e-5 < difference) {

phi1 = 1.0 + (1.0 / phi0)

difference = abs((phi1 - phi0))

phi0 = phi1

count += 1

fmt.printf("Iteration: %2d : iterations ==> %.8f\n", count, phi1)

}

fmt.println("-----------------------------------------")

fmt.printf("Result: %.8f after %d iterations", phi1, count)

fmt.printf("\nThe error is approximately %.10f\n", (phi1 - (0.5 * (1.0 + math.sqrt_f64(5.0)))))

}

</syntaxhighlight>

{{out}}

<pre>

Golden ratio/Convergence

-----------------------------------------

Iteration: 01 : iterations ==> 2.00000000

Iteration: 02 : iterations ==> 1.50000000

Iteration: 03 : iterations ==> 1.66666667

Iteration: 04 : iterations ==> 1.60000000

Iteration: 05 : iterations ==> 1.62500000

Iteration: 06 : iterations ==> 1.61538462

Iteration: 07 : iterations ==> 1.61904762

Iteration: 08 : iterations ==> 1.61764706

Iteration: 09 : iterations ==> 1.61818182

Iteration: 10 : iterations ==> 1.61797753

Iteration: 11 : iterations ==> 1.61805556

Iteration: 12 : iterations ==> 1.61802575

Iteration: 13 : iterations ==> 1.61803714

Iteration: 14 : iterations ==> 1.61803279

-----------------------------------------

Result: 1.61803279 after 14 iterations

The error is approximately -0.0000012019

</pre>