Add tasks for all the new languages

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Tina Müller 2016-12-05 23:44:36 +01:00
parent 9dc3c2bb62
commit bba7bfd280
13208 changed files with 134745 additions and 0 deletions

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func thiele(x, y) {
var ρ = y.range.map {|i| [y[i]]*(y.len-i) }
for i in ^(ρ.end) {
ρ[i][1] = ((x[i] - x[i+1]) / (ρ[i][0] - ρ[i+1][0]))
}
for i in range(2, ρ.end) {
for j in range(0, ρ.end - i) {
ρ[j][i] = (((x[j]-x[j+i]) / (ρ[j][i-1]-ρ[j+1][i-1])) + ρ[j+1][i-2])
}
}
var ρ0 = ρ[0]
func t(xin) {
var a = 0
for i in range(ρ0.end, 2, -1) {
a = ((xin - x[i-1]) / (ρ0[i] - ρ0[i-2] + a))
}
y[0] + ((xin-x[0]) / (ρ0[1]+a))
}
return t
}
# task 1: build 32 row trig table
var xVal = range(32).map { |k| k * 0.05 }
var tSin = xVal.map { .sin }
var tCos = xVal.map { .cos }
var tTan = xVal.map { .tan }
# task 2: define inverses
var iSin = thiele(tSin, xVal)
var iCos = thiele(tCos, xVal)
var iTan = thiele(tTan, xVal)
# task 3: demonstrate identities
say 6*iSin(0.5)
say 3*iCos(0.5)
say 4*iTan(1)