text stringlengths 0 15.7k | source stringlengths 6 112 |
|---|---|
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 |
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