Golden ratio/Convergence: Difference between revisions
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Walterpachl (talk | contribs) (→{{header|ooRexx}}: added ooRexx code) |
Walterpachl (talk | contribs) (added comments to ooRexx code (cf. REXX)) |
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=={{header|ooRexx}}== |
=={{header|ooRexx}}== |
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<syntaxhighlight lang="oorexx">/* REXX |
<syntaxhighlight lang="oorexx">/* REXX |
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* Compute the Golden Ratio using |
* Compute the Golden Ratio using iteration |
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* 20230604 Walter Pachl |
* 20230604 Walter Pachl |
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*/ |
*/ |
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Parse Value '1 1 1e-5' With oldPhi phi limit |
Parse Value '1 1 1e-5' With oldPhi phi limit |
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Do iterations=1 By 1 Until delta<=limit |
Do iterations=1 By 1 Until delta<=limit |
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phi=1+1/oldPhi |
phi=1+1/oldPhi /* next approximation */ |
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delta=abs(phi-oldPhi) |
delta=abs(phi-oldPhi) /* difference to previous */ |
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If delta>limit Then |
If delta>limit Then /* not small enough */ |
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oldPhi=phi |
oldPhi=phi /* proceed with new value */ |
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End |
End |
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actualPhi=(1+rxCalcsqrt(5,16))/2 |
actualPhi=(1+rxCalcsqrt(5,16))/2 /* compute the real value */ |
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Say 'Final value of phi : ' phi |
Say 'Final value of phi : ' phi /* our approximation */ |
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Say 'Actual value : ' actualPhi |
Say 'Actual value : ' actualPhi /* the real value */ |
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Say 'Error (approx) :' (phi-actualPhi) |
Say 'Error (approx) :' (phi-actualPhi) /* the difference */ |
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Say 'Number of iterations:' iterations |
Say 'Number of iterations:' iterations |
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Exit |
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::REQUIRES RXMATH library |
::REQUIRES RXMATH library |
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</syntaxhighlight> |
</syntaxhighlight> |
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