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HelloImSteven
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applescript-lines-100k-non-annotated

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if roundingDirection is (rounding halves to even) then
lns3.scpt
if {(num / 2) mod 100} is in {-25, 25} then -- if num ends in .5 and its div is even then round toward zero so it stays even
lns3.scpt
set num to num div 100
lns3.scpt
else if num > 0 then -- else round to nearest whole digit (.5 will round up if positive…)
lns3.scpt
set num to (num + 50) div 100
lns3.scpt
else -- (…or down if negative to give an even result)
lns3.scpt
set num to (num - 50) div 100
lns3.scpt
else if roundingDirection is (rounding halves toward zero) then
lns3.scpt
if {num mod 100} is in {-50, 50} then -- if num ends in .5 then round towards zero
lns3.scpt
else if num > 0 then -- else round to nearest whole digit
lns3.scpt
else if roundingDirection is (rounding halves away from zero) then
lns3.scpt
if num > 0 then
lns3.scpt
set num to num div 100 + 1
lns3.scpt
set num to num div 100 - 1
lns3.scpt
else if roundingDirection is (rounding toward zero) then
lns3.scpt
else if roundingDirection is (rounding away from zero) then
lns3.scpt
if num mod 100 = 0 then
lns3.scpt
else if num > 0 then
lns3.scpt
else if roundingDirection is (rounding up) then -- ceil()
lns3.scpt
if num < 0 or num mod 100 = 0 then
lns3.scpt
else if roundingDirection is (rounding down) then -- floor()
lns3.scpt
if num > 0 or num mod 100 = 0 then
lns3.scpt
_support's throwInvalidConstantParameter(roundingDirection, "by")
lns3.scpt
if decimalPlaces = 0 then
lns3.scpt
return num div 1
lns3.scpt
else if decimalPlaces < 0 then
lns3.scpt
return num div theMultiplier
lns3.scpt
return num / theMultiplier
lns3.scpt
_error("round number", eText, eNumber, eFrom, eTo)
lns3.scpt
end round number
lns3.scpt
to _sin(x)
lns3.scpt
set x to (x mod 360) * (pi / 180) -- convert from degrees to radians
lns3.scpt
set isNeg to x < 0
lns3.scpt
if isNeg then set x to -x
lns3.scpt
set y to (x * (4 / pi)) div 1
lns3.scpt
set z to y - (y * 0.0625 div 1) * 16
lns3.scpt
if z mod 2 is 1 then
lns3.scpt
set z to z + 1
lns3.scpt
set y to y + 1
lns3.scpt
set z to z mod 8
lns3.scpt
if z > 3 then
lns3.scpt
set isNeg to not isNeg
lns3.scpt
set z to z - 4
lns3.scpt
set z2 to ((x - y * 0.785398125648) - y * 3.77489470793E-8) - y * 2.695151429079E-15
lns3.scpt
set zz to z2 * z2
lns3.scpt
if z is 1 or z is 2 then
lns3.scpt
set y to 1.0 - zz / 2 + zz * zz * (((((-1.13585365213877E-11 * zz + 2.08757008419747E-9) * zz - 2.75573141792967E-7) * zz + 2.48015872888517E-5) * zz - 0.001388888889) * zz + 0.041666666667)
lns3.scpt
set y to z2 + z2 * zz * (((((1.58962301576546E-10 * zz - 2.50507477628578E-8) * zz + 2.75573136213857E-6) * zz - 1.98412698295895E-4) * zz + 0.008333333333) * zz - 0.166666666667)
lns3.scpt
if isNeg then set y to -y
lns3.scpt
return y
lns3.scpt
end _sin
lns3.scpt
to sin x
lns3.scpt
return _sin(x as number)
lns3.scpt
_error("sin", eText, eNumber, eFrom, eTo)
lns3.scpt
end sin
lns3.scpt
to cos x
lns3.scpt
return _sin((x as number) + 90)
lns3.scpt
_error("cos", eText, eNumber, eFrom, eTo)
lns3.scpt
end cos
lns3.scpt
to tan x
lns3.scpt
if x is 90 or x is 270 then error "Invalid number (result would be ∞)." number -2701 from x -- -2701 normally indicates divide-by-zero error
lns3.scpt
set y to (x / (pi / 4)) div 1
lns3.scpt
set z to y - (y * 0.125 div 1) * 8
lns3.scpt
set z2 to ((x - y * 0.785398155451) - y * 7.94662735614793E-9) - y * 3.06161699786838E-17
lns3.scpt
if zz > 1.0E-14 then
lns3.scpt
set y to z2 + z2 * zz * ((-1.30936939181384E+4 * zz + 1.15351664838587E+6) * zz - 1.79565251976485E+7) / ((((zz + 1.36812963470693E+4) * zz - 1.32089234440211E+6) * zz + 2.50083801823358E+7) * zz - 5.38695755929455E+7)
lns3.scpt
set y to z2
lns3.scpt
if z is 2 or z is 6 then set y to -1 / y
lns3.scpt
_error("tan", eText, eNumber, eFrom, eTo)
lns3.scpt
to _asin(x)
lns3.scpt
if x > 1 then error "Invalid number (not between -1.0 and 1.0)." number -1703 from x
lns3.scpt
if x > 0.625 then
lns3.scpt
set zz to 1 - x
lns3.scpt
set p to zz * ((((0.002967721961 * zz - 0.563424278001) * zz + 6.968710824105) * zz - 25.569010496528) * zz + 28.536655482611) / ((((zz - 21.947795316429) * zz + 147.065635402681) * zz - 383.877095760369) * zz + 342.439865791308)
lns3.scpt
set zz to (zz + zz) ^ 0.5
lns3.scpt
set z to (pi / 4) - zz
lns3.scpt
set zz to zz * p - 6.12323399573677E-17
lns3.scpt
set z to z - zz + (pi / 4)
lns3.scpt
else if x < 1.0E-8 then
lns3.scpt
set z to x
lns3.scpt
set zz to x * x
lns3.scpt
set z to zz * (((((0.004253011369 * zz - 0.601959800801) * zz + 5.444622390565) * zz - 16.26247967211) * zz + 19.56261983318) * zz - 8.198089802485) / (((((zz - 14.740913729889) * zz + 70.496102808568) * zz - 147.179129223273) * zz + 139.510561465749) * zz - 49.188538814909) * x + x
lns3.scpt
if isNeg then set z to -z
lns3.scpt
return z / (pi / 180)
lns3.scpt
end _asin
lns3.scpt
to asin x
lns3.scpt
return _asin(x as number)
lns3.scpt
_error("asin", eText, eNumber, eFrom, eTo)
lns3.scpt
end asin
lns3.scpt
to acos x
lns3.scpt
return 90 - (_asin(x as number))
lns3.scpt
_error("acos", eText, eNumber, eFrom, eTo)
lns3.scpt
end acos
lns3.scpt
to atan x
lns3.scpt
return _asin(x / ((x * x + 1) ^ 0.5))
lns3.scpt
_error("atan", eText, eNumber, eFrom, eTo)
lns3.scpt
end atan
lns3.scpt
to asinh x
lns3.scpt
return 0.5 * (__e__ ^ x - __e__ ^ -x)
lns3.scpt
_error("asinh", eText, eNumber, eFrom, eTo)
lns3.scpt