Chebyshev coefficients: Difference between revisions
Added various BASIC dialects
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=={{header|BASIC}}==
==={{header|Applesoft BASIC}}===
The [[#MSX-BASIC|MSX-BASIC]] solution works without any changes.
==={{header|BASIC256}}===
{{trans|FreeBASIC}}
Line 292 ⟶ 295:
6 : -5.89855645106e-07
7 : 1.15214275009e-08</pre>
==={{header|Chipmunk Basic}}===
{{trans|FreeBASIC}}
{{works with|Chipmunk Basic|3.6.4}}
<syntaxhighlight lang="qbasic">100 cls
110 rem pi = 4 * atn(1)
120 a = 0
130 b = 1
140 n = 10
150 dim cheby(n)
160 dim coef(n)
170 for i = 0 to n-1
180 coef(i) = cos(cos(pi/n*(i+1/2))*(b-a)/2+(b+a)/2)
190 next i
200 for i = 0 to n-1
210 w = 0
220 for j = 0 to n-1
230 w = w+coef(j)*cos(pi/n*i*(j+1/2))
240 next j
250 cheby(i) = w*2/n
260 print i;" : ";cheby(i)
270 next i
280 end</syntaxhighlight>
{{out}}
<pre>0 : 1.647169
1 : -0.232299
2 : -0.053715
3 : 2.458235E-03
4 : 2.821191E-04
5 : -7.722229E-06
6 : -5.898556E-07
7 : 1.152143E-08
8 : 6.596304E-10
9 : -1.002234E-11</pre>
==={{header|FreeBASIC}}===
<syntaxhighlight lang="freebasic">Const pi As Double = 4 * Atn(1)
Dim As Integer i, j
Dim As Double w, a = 0, b = 1, n = 10
Dim As Double cheby(n), coef(n)
For i = 0 To n-1
coef(i) = Cos(Cos(pi/n*(i+1/2))*(b-a)/2+(b+a)/2)
Next i
For i = 0 To n-1
w = 0
For j = 0 To n-1
w += coef(j) * Cos(pi/n*i*(j+1/2))
Next j
cheby(i) = w*2/n
Print i; " : "; cheby(i)
Next i
Sleep</syntaxhighlight>
{{out}}
<pre> 0 : 1.647169475390314
1 : -0.2322993716151719
2 : -0.05371511462204768
3 : 0.002458235266981634
4 : 0.0002821190574339161
5 : -7.7222291556156e-006
6 : -5.898556451056081e-007
7 : 1.152142750093788e-008
8 : 6.596299062522348e-010
9 : -1.002201654998203e-011</pre>
==={{header|Gambas}}===
{{trans|FreeBASIC}}
<syntaxhighlight lang="vbnet">Public coef[10] As Float
Public Sub Main()
Dim i As Integer, j As Integer
Dim w As Float, a As Float = 0, b As Float = 1, n As Float = 10
For i = 0 To n - 1
coef[i] = Cos(Cos(Pi / n * (i + 1 / 2)) * (b - a) / 2 + (b + a) / 2)
Next
For i = 0 To n - 1
w = 0
For j = 0 To n - 1
w += coef[j] * Cos(Pi / n * i * (j + 1 / 2))
Next
cheby[i] = w * 2 / n
Print i; " : "; cheby[i]
Next
End</syntaxhighlight>
{{out}}
<pre>0 : 1,64716947539031
1 : -0,232299371615172
2 : -0,053715114622048
3 : 0,002458235266982
4 : 0,000282119057434
5 : -7,7222291556156E-6
6 : -5,89855645105608E-7
7 : 1,15214275009379E-8
8 : 6,59629906252235E-10
9 : -1,0022016549982E-11</pre>
==={{header|GW-BASIC}}===
{{trans|FreeBASIC}}
{{works with|PC-BASIC|any}}
<syntaxhighlight lang="qbasic">100 CLS
110 PI# = 4 * ATN(1)
120 A# = 0
130 B# = 1
140 N# = 10
150 DIM CHEBY(N#)
160 DIM COEF(N#)
170 FOR I = 0 TO N#-1
180 COEF(I) = COS(COS(PI#/N#*(I+1/2))*(B#-A#)/2+(B#+A#)/2)
190 NEXT I
200 FOR I = 0 TO N#-1
210 W# = 0
220 FOR J = 0 TO N#-1
230 W# = W# + COEF(J) * COS(PI#/N#*I*(J+1/2))
240 NEXT J
250 CHEBY(I) = W# * 2 / N#
260 PRINT I; " : "; CHEBY(I)
270 NEXT I
280 END</syntaxhighlight>
{{out}}
<pre>0 : 1.647169
1 : -.2322993
2 : -5.371515E-02
3 : 2.458321E-03
4 : 2.820671E-04
5 : -7.766486E-06
6 : -5.857175E-07
7 : 9.834766E-08
8 : -1.788139E-07
9 : -9.089708E-08</pre>
==={{header|Minimal BASIC}}===
{{trans|FreeBASIC}}
{{works with|BASICA}}
<syntaxhighlight lang="qbasic">110 LET P = 4 * ATN(1)
120 LET A = 0
130 LET B = 1
140 LET N = 10
170 FOR I = 0 TO N-1
180 LET K(I) = COS(COS(P/N*(I+1/2))*(B-A)/2+(B+A)/2)
190 NEXT I
200 FOR I = 0 TO N-1
210 LET W = 0
220 FOR J = 0 TO N-1
230 LET W = W + K(J) * COS(P/N*I*(J+1/2))
240 NEXT J
250 LET C(I) = W * 2 / N
260 PRINT I; " : "; C(I)
270 NEXT I
280 END</syntaxhighlight>
{{out}}
<pre> 0 : 1.6471695
1 : -.23229937
2 : -5.3715115E-2
3 : 2.4582353E-3
4 : 2.8211906E-4
5 : -7.7222291E-6
6 : -5.8985565E-7
7 : 1.1521437E-8
8 : 6.5962449E-10
9 : -1.0018986E-11</pre>
==={{header|MSX Basic}}===
{{trans|FreeBASIC}}
{{works with|MSX BASIC|any}}
<syntaxhighlight lang="qbasic">100 CLS : rem 10 HOME for Applesoft BASIC
110 PI = 4 * ATN(1)
120 A = 0
130 B = 1
140 N = 10
150 DIM CHEBY(N)
160 DIM COEF(N)
170 FOR I = 0 TO N-1
180 COEF(I) = COS(COS(PI/N*(I+1/2))*(B-A)/2+(B+A)/2)
190 NEXT I
200 FOR I = 0 TO N-1
210 W = 0
220 FOR J = 0 TO N-1
230 W = W + COEF(J) * COS(PI/N*I*(J+1/2))
240 NEXT J
250 CHEBY(I) = W * 2 / N
260 PRINT I; " : "; CHEBY(I)
270 NEXT I
280 END</syntaxhighlight>
==={{header|QBasic}}===
Line 316 ⟶ 506:
END</syntaxhighlight>
{{out}}
<pre> 0 : 1.647169470787048000000
1 : -0.232299402356147800000
2 : -0.053715050220489500000
Line 326 ⟶ 515:
7 : 0.000000053614126471757
8 : 0.000000079823998078155
9 : -0.000000070922546058227</pre>
==={{header|
{{trans|FreeBASIC}}
<syntaxhighlight lang="qbasic">100 cls
120 let a = 0
130 let b = 1
140 let n = 10
150 array c
160 array k
170 for i = 0 to n-1
180 let k[i] = cos(cos(pi/n*(i+1/2))*(b-a)/2+(b+a)/2)
190 next i
200 for i = 0 to n-1
210 let w = 0
220 for j = 0 to n-1
230 let w = w + k[j] * cos(pi/n*i*(j+1/2))
240 next j
250 let c[i] = w * 2 / n
260 print i; " : "; c[i]
270 next i
280 end</syntaxhighlight>
{{out}}
<pre>0 : 1.6471694753903137
1 : -0.23229937161517186
2 : -0.05371511462204768
3 : 0.0024582352669816343
4 : 0.0002821190574339161
5 : -0.0000077222291556156
6 : -5.898556451056081e-7
7 : 1.1521427500937876e-8
8 : 6.59629917354465e-10
9 : -1.0022016549982027e-11</pre>
==={{header|Run BASIC}}===
{{trans|FreeBASIC}}
{{works with|Just BASIC}}
{{works with|Liberty BASIC}}
<syntaxhighlight lang="vb">pi = 4 * atn(1)
a = 0
b = 1
n = 10
dim cheby(n)
dim coef(n)
for i = 0 to n-1
coef(i) = cos(cos(pi/n*(i+1/2))*(b-a)/2+(b+a)/2)
next i
for i = 0 to n-1
w = 0
w
cheby(i) = w * 2 / n
==={{header|Yabasic}}===
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