Numerical integration/Gauss-Legendre Quadrature: Difference between revisions
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m (→version 3: added REXX version 3.) |
m (→version 2: changed the header (output) information.) |
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!.= .; b= 3; a= -b; bma= b - a; bmaH= bma / 2; tiny= '1e-'digs |
!.= .; b= 3; a= -b; bma= b - a; bmaH= bma / 2; tiny= '1e-'digs |
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trueV= exp(b)-exp(a); bpa= b + a; bpaH= bpa / 2 |
trueV= exp(b)-exp(a); bpa= b + a; bpaH= bpa / 2 |
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hdr= 'iterate value (with ' digs " decimal digits being used)" |
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say ' step ' center("iterative value", digs+3) ' difference' /*show hdr*/ |
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say ' step ' center(hdr, digs+3) ' difference' /*show hdr*/ |
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sep='──────' copies("─", digs+3) '─────────────'; say sep /* " sep*/ |
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do #=1 until dif>0; p0z= 1; p0.1= 1; p1z= 2; p1.1= 1; p1.2= 0; ##= # + .5; r.= 0 |
do #=1 until dif>0; p0z= 1; p0.1= 1; p1z= 2; p1.1= 1; p1.2= 0; ##= # + .5; r.= 0 |
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{{out|output|text= when using the default inputs:}} |
{{out|output|text= when using the default inputs:}} |
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<pre> |
<pre> |
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step |
step iterate value (with 82 decimal digits being used) difference |
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────── ───────────────────────────────────────────────────────────────────────────────────── ───────────── |
────── ───────────────────────────────────────────────────────────────────────────────────── ───────────── |
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2 17.48746464105556896436068404624494584211542841793491350914872470595379166623788825 -2.5483 |
2 17.48746464105556896436068404624494584211542841793491350914872470595379166623788825 -2.5483 |
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