Golden ratio/Convergence: Difference between revisions
→{{header|jq}}
(Added XPL0 example.) |
|||
Line 917:
14 iterations
The error is approximately -1.201864649e-06</pre>
=={{header|jq}}==
'''Adapted from [[#Wren|Wren]]'''
{{works with|jq}}
'''Also works with gojq, the Go implementation of jq'''
Only minor adaptations are required for the following to work with
jaq, the Rust implementation of jq, so the output shown below
includes a run using jaq.
<syntaxhighlight lang="jq">
def phi: (1 + (5|sqrt)) / 2;
# epsilon > 0
def phi($epsilon):
{ phi: 1, oldPhi: (1+$epsilon), iters:0}
| until( (.phi - .oldPhi) | length < $epsilon;
.oldPhi = .phi
| .phi = 1 + (1 / .oldPhi)
| .iters += 1 )
| "Final value of phi : \(.phi) vs \(phi)",
"Number of iterations : \(.iters)",
"Absolute error (approx) : \((.phi - phi) | length)";
phi(1e-5)
</syntaxhighlight>
{{output}}
jq (the C implementation):
<pre>
Final value of phi : 1.6180327868852458 vs 1.618033988749895
Number of iterations : 14
Absolute error (approx) : 1.2018646491362972e-06
</pre>
gojq (the Go implementation):
<pre>
Final value of phi : 1.6180327868852458 vs 1.618033988749895
Number of iterations : 14
Absolute error (approx) : 0.0000012018646491362972
</pre>
jaq (the Rust implementation):
<pre>
Final value of phi : 1.6180327868852458 vs 1.618033988749895
Number of iterations : 14
Absolute error (approx) : 1.2018646491362972e-6
</pre>
=={{header|Java}}==
| |||