152 lines
3.0 KiB
CoffeeScript
152 lines
3.0 KiB
CoffeeScript
### arcsin =====================================================================
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Tags
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----
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scripting, JS, internal, treenode, general concept
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Parameters
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----------
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x
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General description
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-------------------
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Returns the inverse sine of x.
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###
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Eval_arcsin = ->
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push(cadr(p1))
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Eval()
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arcsin()
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arcsin = ->
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n = 0
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d = 0
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save()
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p1 = pop()
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if (car(p1) == symbol(SIN))
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push(cadr(p1))
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restore()
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return
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if (isdouble(p1))
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errno = 0
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d = Math.asin(p1.d)
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if (errno)
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stop("arcsin function argument is not in the interval [-1,1]")
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push_double(d)
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restore()
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return
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# if p1 == 1/sqrt(2) then return 1/4*pi (45 degrees)
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# second if catches the other way of saying it, sqrt(2)/2
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if (isoneoversqrttwo(p1)) or
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(car(p1) == symbol(MULTIPLY) && equalq(car(cdr(p1)), 1,2) and car(car(cdr(cdr(p1)))) == symbol(POWER) && equaln(car(cdr(car(cdr(cdr(p1))))),2) && equalq(car(cdr(cdr(car(cdr(cdr(p1)))))), 1, 2))
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push_rational(1, 4)
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push_symbol(PI)
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multiply()
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restore()
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return
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# if p1 == -1/sqrt(2) then return -1/4*pi (-45 degrees)
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# second if catches the other way of saying it, -sqrt(2)/2
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if (isminusoneoversqrttwo(p1)) or
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(car(p1) == symbol(MULTIPLY) && equalq(car(cdr(p1)), -1,2) and car(car(cdr(cdr(p1)))) == symbol(POWER) && equaln(car(cdr(car(cdr(cdr(p1))))),2) && equalq(car(cdr(cdr(car(cdr(cdr(p1)))))), 1, 2))
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if evaluatingAsFloats
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push_double(-Math.PI / 4.0)
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else
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push_rational(-1, 4)
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push_symbol(PI)
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multiply()
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restore()
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return
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# if p1 == sqrt(3)/2 then return 1/3*pi (60 degrees)
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if (issqrtthreeovertwo(p1))
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if evaluatingAsFloats
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push_double(Math.PI / 3.0)
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else
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push_rational(1, 3)
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push_symbol(PI)
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multiply()
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restore()
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return
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# if p1 == -sqrt(3)/2 then return -1/3*pi (-60 degrees)
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if (isminussqrtthreeovertwo(p1))
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if evaluatingAsFloats
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push_double(-Math.PI / 3.0)
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else
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push_rational(-1, 3)
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push_symbol(PI)
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multiply()
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restore()
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return
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if (!isrational(p1))
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push_symbol(ARCSIN)
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push(p1)
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list(2)
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restore()
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return
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push(p1)
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push_integer(2)
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multiply()
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n = pop_integer()
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switch (n)
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when -2
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if evaluatingAsFloats
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push_double(-Math.PI / 2.0)
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else
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push_rational(-1, 2)
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push_symbol(PI)
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multiply()
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when -1
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if evaluatingAsFloats
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push_double(-Math.PI / 6.0)
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else
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push_rational(-1, 6)
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push_symbol(PI)
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multiply()
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when 0
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if evaluatingAsFloats
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push_double(0.0)
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else
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push(zero)
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when 1
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if evaluatingAsFloats
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push_double(Math.PI / 6.0)
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else
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push_rational(1, 6)
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push_symbol(PI)
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multiply()
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when 2
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if evaluatingAsFloats
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push_double(Math.PI / 2.0)
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else
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push_rational(1, 2)
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push_symbol(PI)
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multiply()
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else
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push_symbol(ARCSIN)
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push(p1)
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list(2)
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restore()
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