Module: Math
- Defined in:
- opal/opal/corelib/math.rb
Constant Summary
- E =
`Math.E`
- PI =
`Math.PI`
- DomainError =
Class.new(StandardError)
Class Method Summary collapse
- .acos(x) ⇒ Object
- .acosh(x) ⇒ Object
- .asin(x) ⇒ Object
- .asinh(x) ⇒ Object
- .atan(x) ⇒ Object
- .atan2(y, x) ⇒ Object
- .atanh(x) ⇒ Object
- .cbrt(x) ⇒ Object
- .checked(method, *args) ⇒ Object
- .cos(x) ⇒ Object
- .cosh(x) ⇒ Object
- .erf(x) ⇒ Object
- .erfc(x) ⇒ Object
- .exp(x) ⇒ Object
- .float!(value) ⇒ Object
- .frexp(x) ⇒ Object
- .gamma(n) ⇒ Object
- .hypot(x, y) ⇒ Object
- .integer!(value) ⇒ Object
- .ldexp(mantissa, exponent) ⇒ Object
- .lgamma(n) ⇒ Object
- .log(x, base = undefined) ⇒ Object
- .log10(x) ⇒ Object
- .log2(x) ⇒ Object
- .sin(x) ⇒ Object
- .sinh(x) ⇒ Object
- .sqrt(x) ⇒ Object
- .tan(x) ⇒ Object
- .tanh(x) ⇒ Object
Class Method Details
.acos(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 37 def acos(x) Math.checked :acos, Math.float!(x) end |
.acosh(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 49 def acosh(x) Math.checked :acosh, Math.float!(x) end |
.asin(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 53 def asin(x) Math.checked :asin, Math.float!(x) end |
.asinh(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 65 def asinh(x) Math.checked :asinh, Math.float!(x) end |
.atan(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 69 def atan(x) Math.checked :atan, Math.float!(x) end |
.atan2(y, x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 73 def atan2(y, x) Math.checked :atan2, Math.float!(y), Math.float!(x) end |
.atanh(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 85 def atanh(x) Math.checked :atanh, Math.float!(x) end |
.cbrt(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 135 def cbrt(x) Math.checked :cbrt, Math.float!(x) end |
.checked(method, *args) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 7 def self.checked(method, *args) %x{ if (isNaN(args[0]) || (args.length == 2 && isNaN(args[1]))) { return NaN; } var result = Math[method].apply(null, args); if (isNaN(result)) { #{raise DomainError, "Numerical argument is out of domain - \"#{method}\""}; } return result; } end |
.cos(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 139 def cos(x) Math.checked :cos, Math.float!(x) end |
.cosh(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 151 def cosh(x) Math.checked :cosh, Math.float!(x) end |
.erf(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 181 def erf(x) Math.checked :erf, Math.float!(x) end |
.erfc(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 214 def erfc(x) Math.checked :erfc, Math.float!(x) end |
.exp(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 218 def exp(x) Math.checked :exp, Math.float!(x) end |
.float!(value) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 23 def self.float!(value) Float(value) rescue ArgumentError raise Opal.type_error(value, Float) end |
.frexp(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 222 def frexp(x) x = Math.float!(x) %x{ if (isNaN(x)) { return [NaN, 0]; } var ex = Math.floor(Math.log(Math.abs(x)) / Math.log(2)) + 1, frac = x / Math.pow(2, ex); return [frac, ex]; } end |
.gamma(n) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 237 def gamma(n) n = Math.float!(n) %x{ var i, t, x, value, result, twoN, threeN, fourN, fiveN; var G = 4.7421875; var P = [ 0.99999999999999709182, 57.156235665862923517, -59.597960355475491248, 14.136097974741747174, -0.49191381609762019978, 0.33994649984811888699e-4, 0.46523628927048575665e-4, -0.98374475304879564677e-4, 0.15808870322491248884e-3, -0.21026444172410488319e-3, 0.21743961811521264320e-3, -0.16431810653676389022e-3, 0.84418223983852743293e-4, -0.26190838401581408670e-4, 0.36899182659531622704e-5 ]; if (isNaN(n)) { return NaN; } if (n === 0 && 1 / n < 0) { return -Infinity; } if (n === -1 || n === -Infinity) { #{raise DomainError, 'Numerical argument is out of domain - "gamma"'}; } if (#{Integer === n}) { if (n <= 0) { return isFinite(n) ? Infinity : NaN; } if (n > 171) { return Infinity; } value = n - 2; result = n - 1; while (value > 1) { result *= value; value--; } if (result == 0) { result = 1; } return result; } if (n < 0.5) { return Math.PI / (Math.sin(Math.PI * n) * #{Math.gamma(1 - n)}); } if (n >= 171.35) { return Infinity; } if (n > 85.0) { twoN = n * n; threeN = twoN * n; fourN = threeN * n; fiveN = fourN * n; return Math.sqrt(2 * Math.PI / n) * Math.pow((n / Math.E), n) * (1 + 1 / (12 * n) + 1 / (288 * twoN) - 139 / (51840 * threeN) - 571 / (2488320 * fourN) + 163879 / (209018880 * fiveN) + 5246819 / (75246796800 * fiveN * n)); } n -= 1; x = P[0]; for (i = 1; i < P.length; ++i) { x += P[i] / (n + i); } t = n + G + 0.5; return Math.sqrt(2 * Math.PI) * Math.pow(t, n + 0.5) * Math.exp(-t) * x; } end |
.hypot(x, y) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 341 def hypot(x, y) Math.checked :hypot, Math.float!(x), Math.float!(y) end |
.integer!(value) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 29 def self.integer!(value) Integer(value) rescue ArgumentError raise Opal.type_error(value, Integer) end |
.ldexp(mantissa, exponent) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 345 def ldexp(mantissa, exponent) mantissa = Math.float!(mantissa) exponent = Math.integer!(exponent) %x{ if (isNaN(exponent)) { #{raise RangeError, 'float NaN out of range of integer'}; } return mantissa * Math.pow(2, exponent); } end |
.lgamma(n) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 358 def lgamma(n) %x{ if (n == -1) { return [Infinity, 1]; } else { return [Math.log(Math.abs(#{Math.gamma(n)})), #{Math.gamma(n)} < 0 ? -1 : 1]; } } end |
.log(x, base = undefined) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 369 def log(x, base = undefined) if String === x raise Opal.type_error(x, Float) end if `base == null` Math.checked :log, Math.float!(x) else if String === base raise Opal.type_error(base, Float) end Math.checked(:log, Math.float!(x)) / Math.checked(:log, Math.float!(base)) end end |
.log10(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 393 def log10(x) if String === x raise Opal.type_error(x, Float) end Math.checked :log10, Math.float!(x) end |
.log2(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 409 def log2(x) if String === x raise Opal.type_error(x, Float) end Math.checked :log2, Math.float!(x) end |
.sin(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 417 def sin(x) Math.checked :sin, Math.float!(x) end |
.sinh(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 429 def sinh(x) Math.checked :sinh, Math.float!(x) end |
.sqrt(x) ⇒ Object
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# File 'opal/opal/corelib/math.rb', line 433 def sqrt(x) Math.checked :sqrt, Math.float!(x) end |