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* math.c: RDoc formatting of Math core docs with domains and codomains
Patch by @eLobato [Fixes GH-309] git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@40841 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
This commit is contained in:
zzak
parent
2439bc9e69
commit
c1f176974c
2 changed files with 223 additions and 96 deletions
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@ -1,3 +1,8 @@
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Mon May 20 07:27:41 2013 Zachary Scott <zachary@zacharyscott.net>
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* math.c: RDoc formatting of Math core docs with domains and codomains
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Patch by @eLobato [Fixes GH-309]
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Mon May 20 05:58:12 2013 Zachary Scott <zachary@zacharyscott.net>
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* ext/bigdecimal/bigdecimal.c: Formatting for BigMath [Fixes GH-306]
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314
math.c
314
math.c
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@ -35,10 +35,14 @@ VALUE rb_eMathDomainError;
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/*
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* call-seq:
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* Math.atan2(y, x) -> float
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* Math.atan2(y, x) -> Float
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*
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* Computes the arc tangent given <i>y</i> and <i>x</i>. Returns
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* -PI..PI.
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* Computes the arc tangent given +y+ and +x+.
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* Returns a Float in the range -PI..PI.
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*
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* Domain: (−INFINITY, INFINITY)
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*
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* Codomain: [-PI, PI]
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*
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* Math.atan2(-0.0, -1.0) #=> -3.141592653589793
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* Math.atan2(-1.0, -1.0) #=> -2.356194490192345
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@ -77,10 +81,17 @@ math_atan2(VALUE obj, VALUE y, VALUE x)
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/*
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* call-seq:
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* Math.cos(x) -> float
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* Math.cos(x) -> Float
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*
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* Computes the cosine of +x+ (expressed in radians).
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* Returns a Float in the range -1.0..1.0.
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*
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* Domain: (−INFINITY, INFINITY)
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*
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* Codomain: [-1, 1]
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*
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* Math.cos(Math::PI) #=> -1.0
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*
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* Computes the cosine of <i>x</i> (expressed in radians). Returns
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* -1..1.
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*/
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static VALUE
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@ -92,41 +103,61 @@ math_cos(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.sin(x) -> float
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* Math.sin(x) -> Float
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*
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* Computes the cosine of +x+ (expressed in radians).
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* Returns a Float in the range -1.0..1.0.
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*
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* Domain: (−INFINITY, INFINITY)
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*
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* Codomain: [-1, 1]
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*
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* Math.sin(Math::PI/2) #=> 1.0
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*
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* Computes the sine of <i>x</i> (expressed in radians). Returns
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* -1..1.
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*/
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static VALUE
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math_sin(VALUE obj, VALUE x)
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{
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Need_Float(x);
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return DBL2NUM(sin(RFLOAT_VALUE(x)));
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}
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/*
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* call-seq:
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* Math.tan(x) -> float
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* Math.tan(x) -> Float
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*
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* Computes the tangent of +x+ (expressed in radians).
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* Returns a Float in the range -1.0..1.0.
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*
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* Domain: n * (-PI/2, PI/2)
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*
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* Codomain: (−INFINITY, INFINITY)
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*
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* Math.tan(5 * (Math::PI/2)) #=> 3266247870639074.0
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*
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* Returns the tangent of <i>x</i> (expressed in radians).
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*/
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static VALUE
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math_tan(VALUE obj, VALUE x)
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{
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Need_Float(x);
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return DBL2NUM(tan(RFLOAT_VALUE(x)));
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}
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/*
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* call-seq:
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* Math.acos(x) -> float
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* Math.acos(x) -> Float
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*
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* Computes the arc cosine of +x+. Returns 0..PI.
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*
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* Domain: [-1, 1]
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*
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* Codomain: [0, PI]
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*
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* Math.acos(0) == Math::PI/2 #=> true
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*
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* Computes the arc cosine of <i>x</i>. Returns 0..PI.
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*/
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static VALUE
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@ -144,9 +175,15 @@ math_acos(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.asin(x) -> float
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* Math.asin(x) -> Float
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*
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* Computes the arc sine of <i>x</i>. Returns -{PI/2} .. {PI/2}.
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* Computes the arc sine of +x+. Returns -PI/2..PI/2.
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*
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* Domain: [-1, -1]
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*
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* Codomain: [-PI/2, PI/2]
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*
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* Math.asin(1) == Math::PI/2 #=> true
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*/
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static VALUE
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@ -164,9 +201,15 @@ math_asin(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.atan(x) -> float
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* Math.atan(x) -> Float
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*
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* Computes the arc tangent of <i>x</i>. Returns -{PI/2} .. {PI/2}.
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* Computes the arc tangent of +x+. Returns -PI/2..PI/2.
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*
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* Domain: (−INFINITY, INFINITY)
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*
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* Codomain: (-PI/2, PI/2)
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*
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* Math.atan(0) #=> 0.0
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*/
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static VALUE
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@ -186,16 +229,22 @@ cosh(double x)
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/*
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* call-seq:
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* Math.cosh(x) -> float
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* Math.cosh(x) -> Float
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*
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* Computes the hyperbolic cosine of +x+ (expressed in radians).
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*
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* Domain: (−INFINITY, INFINITY)
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*
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* Codomain: [1, INFINITY)
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*
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* Math.cosh(0) #=> 1.0
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*
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* Computes the hyperbolic cosine of <i>x</i> (expressed in radians).
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*/
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static VALUE
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math_cosh(VALUE obj, VALUE x)
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{
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Need_Float(x);
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return DBL2NUM(cosh(RFLOAT_VALUE(x)));
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}
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@ -209,10 +258,16 @@ sinh(double x)
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/*
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* call-seq:
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* Math.sinh(x) -> float
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* Math.sinh(x) -> Float
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*
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* Computes the hyperbolic sine of +x+ (expressed in radians).
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*
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* Domain: (−INFINITY, INFINITY)
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*
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* Codomain: (−INFINITY, INFINITY)
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*
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* Math.sinh(0) #=> 0.0
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*
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* Computes the hyperbolic sine of <i>x</i> (expressed in
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* radians).
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*/
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static VALUE
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@ -232,10 +287,16 @@ tanh(double x)
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/*
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* call-seq:
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* Math.tanh() -> float
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* Math.tanh(x) -> Float
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*
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* Computes the hyperbolic tangent of +x+ (expressed in radians).
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*
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* Domain: (−INFINITY, INFINITY)
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*
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* Codomain: (−1, 1)
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*
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* Math.tanh(0) #=> 0.0
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*
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* Computes the hyperbolic tangent of <i>x</i> (expressed in
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* radians).
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*/
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static VALUE
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@ -247,9 +308,16 @@ math_tanh(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.acosh(x) -> float
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* Math.acosh(x) -> Float
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*
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* Computes the inverse hyperbolic cosine of +x+.
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*
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* Domain: [1, INFINITY)
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*
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* Codomain: [0, INFINITY)
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*
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* Math.acosh(1) #=> 0.0
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*
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* Computes the inverse hyperbolic cosine of <i>x</i>.
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*/
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static VALUE
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@ -267,9 +335,16 @@ math_acosh(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.asinh(x) -> float
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* Math.asinh(x) -> Float
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*
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* Computes the inverse hyperbolic sine of +x+.
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*
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* Domain: (-INFINITY, INFINITY)
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*
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* Codomain: (-INFINITY, INFINITY)
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*
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* Math.asinh(1) #=> 0.881373587019543
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*
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* Computes the inverse hyperbolic sine of <i>x</i>.
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*/
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static VALUE
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@ -281,9 +356,16 @@ math_asinh(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.atanh(x) -> float
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* Math.atanh(x) -> Float
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*
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* Computes the inverse hyperbolic tangent of +x+.
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*
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* Domain: (-1, 1)
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*
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* Codomain: (-INFINITY, INFINITY)
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*
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* Math.atanh(1) #=> Infinity
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*
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* Computes the inverse hyperbolic tangent of <i>x</i>.
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*/
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static VALUE
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@ -304,10 +386,14 @@ math_atanh(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.exp(x) -> float
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* Math.exp(x) -> Float
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*
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* Returns e**x.
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*
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* Domain: (-INFINITY, INFINITY)
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*
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* Codomain: (0, INFINITY)
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*
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* Math.exp(0) #=> 1.0
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* Math.exp(1) #=> 2.718281828459045
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* Math.exp(1.5) #=> 4.4816890703380645
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@ -332,13 +418,17 @@ math_exp(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.log(numeric) -> float
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* Math.log(num,base) -> float
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* Math.log(x) -> Float
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* Math.log(num, base) -> Float
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*
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* Returns the natural logarithm of <i>numeric</i>.
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* Returns the natural logarithm of +x+.
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* If additional second argument is given, it will be the base
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* of logarithm.
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*
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* Domain: (0, INFINITY)
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*
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* Codomain: (-INFINITY, INFINITY)
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*
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* Math.log(1) #=> 0.0
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* Math.log(Math::E) #=> 1.0
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* Math.log(Math::E**3) #=> 3.0
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@ -381,9 +471,13 @@ extern double log2(double);
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/*
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* call-seq:
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* Math.log2(numeric) -> float
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* Math.log2(x) -> Float
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*
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* Returns the base 2 logarithm of <i>numeric</i>.
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* Returns the base 2 logarithm of +x+.
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*
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* Domain: (0, INFINITY)
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*
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* Codomain: (-INFINITY, INFINITY)
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*
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* Math.log2(1) #=> 0.0
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* Math.log2(2) #=> 1.0
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@ -409,9 +503,13 @@ math_log2(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.log10(numeric) -> float
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* Math.log10(x) -> Float
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*
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* Returns the base 10 logarithm of <i>numeric</i>.
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* Returns the base 10 logarithm of +x+.
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*
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* Domain: (0, INFINITY)
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*
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* Codomain: (-INFINITY, INFINITY)
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*
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* Math.log10(1) #=> 0.0
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* Math.log10(10) #=> 1.0
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@ -436,26 +534,28 @@ math_log10(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.sqrt(numeric) -> float
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* Math.sqrt(x) -> Float
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*
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* Returns the non-negative square root of <i>numeric</i>.
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* Returns the non-negative square root of +x+.
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*
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* Domain: [0, INFINITY)
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*
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* Codomain:[0, INFINITY)
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*
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* 0.upto(10) {|x|
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* p [x, Math.sqrt(x), Math.sqrt(x)**2]
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* }
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* #=>
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* [0, 0.0, 0.0]
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* [1, 1.0, 1.0]
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* [2, 1.4142135623731, 2.0]
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* [3, 1.73205080756888, 3.0]
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* [4, 2.0, 4.0]
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* [5, 2.23606797749979, 5.0]
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* [6, 2.44948974278318, 6.0]
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* [7, 2.64575131106459, 7.0]
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* [8, 2.82842712474619, 8.0]
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* [9, 3.0, 9.0]
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* [10, 3.16227766016838, 10.0]
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*
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* #=> [0, 0.0, 0.0]
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* # [1, 1.0, 1.0]
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* # [2, 1.4142135623731, 2.0]
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* # [3, 1.73205080756888, 3.0]
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* # [4, 2.0, 4.0]
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* # [5, 2.23606797749979, 5.0]
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* # [6, 2.44948974278318, 6.0]
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* # [7, 2.64575131106459, 7.0]
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* # [8, 2.82842712474619, 8.0]
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* # [9, 3.0, 9.0]
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* # [10, 3.16227766016838, 10.0]
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*/
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static VALUE
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@ -474,33 +574,36 @@ math_sqrt(VALUE obj, VALUE x)
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/*
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* call-seq:
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* Math.cbrt(numeric) -> float
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* Math.cbrt(x) -> Float
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*
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* Returns the cube root of <i>numeric</i>.
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* Returns the cube root of +x+.
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*
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* Domain: [0, INFINITY)
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*
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* Codomain:[0, INFINITY)
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*
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* -9.upto(9) {|x|
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* p [x, Math.cbrt(x), Math.cbrt(x)**3]
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* }
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* #=>
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* [-9, -2.0800838230519, -9.0]
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* [-8, -2.0, -8.0]
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* [-7, -1.91293118277239, -7.0]
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* [-6, -1.81712059283214, -6.0]
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* [-5, -1.7099759466767, -5.0]
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* [-4, -1.5874010519682, -4.0]
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* [-3, -1.44224957030741, -3.0]
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* [-2, -1.25992104989487, -2.0]
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* [-1, -1.0, -1.0]
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* [0, 0.0, 0.0]
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||||
* [1, 1.0, 1.0]
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* [2, 1.25992104989487, 2.0]
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||||
* [3, 1.44224957030741, 3.0]
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||||
* [4, 1.5874010519682, 4.0]
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||||
* [5, 1.7099759466767, 5.0]
|
||||
* [6, 1.81712059283214, 6.0]
|
||||
* [7, 1.91293118277239, 7.0]
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* [8, 2.0, 8.0]
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* [9, 2.0800838230519, 9.0]
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* #=> [-9, -2.0800838230519, -9.0]
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* # [-8, -2.0, -8.0]
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* # [-7, -1.91293118277239, -7.0]
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* # [-6, -1.81712059283214, -6.0]
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* # [-5, -1.7099759466767, -5.0]
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* # [-4, -1.5874010519682, -4.0]
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* # [-3, -1.44224957030741, -3.0]
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* # [-2, -1.25992104989487, -2.0]
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* # [-1, -1.0, -1.0]
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* # [0, 0.0, 0.0]
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* # [1, 1.0, 1.0]
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* # [2, 1.25992104989487, 2.0]
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* # [3, 1.44224957030741, 3.0]
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* # [4, 1.5874010519682, 4.0]
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* # [5, 1.7099759466767, 5.0]
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* # [6, 1.81712059283214, 6.0]
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* # [7, 1.91293118277239, 7.0]
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* # [8, 2.0, 8.0]
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* # [9, 2.0800838230519, 9.0]
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*
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*/
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@ -513,11 +616,10 @@ math_cbrt(VALUE obj, VALUE x)
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|||
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/*
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* call-seq:
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* Math.frexp(numeric) -> [ fraction, exponent ]
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* Math.frexp(x) -> [fraction, exponent]
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*
|
||||
* Returns a two-element array containing the normalized fraction (a
|
||||
* <code>Float</code>) and exponent (a <code>Fixnum</code>) of
|
||||
* <i>numeric</i>.
|
||||
* Returns a two-element array containing the normalized fraction (a Float)
|
||||
* and exponent (a Fixnum) of +x+.
|
||||
*
|
||||
* fraction, exponent = Math.frexp(1234) #=> [0.6025390625, 11]
|
||||
* fraction * 2**exponent #=> 1234.0
|
||||
|
|
@ -537,9 +639,9 @@ math_frexp(VALUE obj, VALUE x)
|
|||
|
||||
/*
|
||||
* call-seq:
|
||||
* Math.ldexp(flt, int) -> float
|
||||
* Math.ldexp(fraction, exponent) -> float
|
||||
*
|
||||
* Returns the value of <i>flt</i>*(2**<i>int</i>).
|
||||
* Returns the value of +fraction+*(2**+exponent+).
|
||||
*
|
||||
* fraction, exponent = Math.frexp(1234)
|
||||
* Math.ldexp(fraction, exponent) #=> 1234.0
|
||||
|
|
@ -554,10 +656,10 @@ math_ldexp(VALUE obj, VALUE x, VALUE n)
|
|||
|
||||
/*
|
||||
* call-seq:
|
||||
* Math.hypot(x, y) -> float
|
||||
* Math.hypot(x, y) -> Float
|
||||
*
|
||||
* Returns sqrt(x**2 + y**2), the hypotenuse of a right-angled triangle
|
||||
* with sides <i>x</i> and <i>y</i>.
|
||||
* Returns sqrt(x**2 + y**2), the hypotenuse of a right-angled triangle with
|
||||
* sides +x+ and +y+.
|
||||
*
|
||||
* Math.hypot(3, 4) #=> 5.0
|
||||
*/
|
||||
|
|
@ -571,9 +673,16 @@ math_hypot(VALUE obj, VALUE x, VALUE y)
|
|||
|
||||
/*
|
||||
* call-seq:
|
||||
* Math.erf(x) -> float
|
||||
* Math.erf(x) -> Float
|
||||
*
|
||||
* Calculates the error function of +x+.
|
||||
*
|
||||
* Domain: (-INFINITY, INFINITY)
|
||||
*
|
||||
* Codomain: (-1, 1)
|
||||
*
|
||||
* Math.erf(0) #=> 0.0
|
||||
*
|
||||
* Calculates the error function of x.
|
||||
*/
|
||||
|
||||
static VALUE
|
||||
|
|
@ -585,9 +694,16 @@ math_erf(VALUE obj, VALUE x)
|
|||
|
||||
/*
|
||||
* call-seq:
|
||||
* Math.erfc(x) -> float
|
||||
* Math.erfc(x) -> Float
|
||||
*
|
||||
* Calculates the complementary error function of x.
|
||||
*
|
||||
* Domain: (-INFINITY, INFINITY)
|
||||
*
|
||||
* Codomain: (0, 2)
|
||||
*
|
||||
* Math.erfc(0) #=> 1.0
|
||||
*
|
||||
*/
|
||||
|
||||
static VALUE
|
||||
|
|
@ -599,7 +715,7 @@ math_erfc(VALUE obj, VALUE x)
|
|||
|
||||
/*
|
||||
* call-seq:
|
||||
* Math.gamma(x) -> float
|
||||
* Math.gamma(x) -> Float
|
||||
*
|
||||
* Calculates the gamma function of x.
|
||||
*
|
||||
|
|
@ -690,12 +806,14 @@ math_gamma(VALUE obj, VALUE x)
|
|||
* call-seq:
|
||||
* Math.lgamma(x) -> [float, -1 or 1]
|
||||
*
|
||||
* Calculates the logarithmic gamma of x and
|
||||
* the sign of gamma of x.
|
||||
* Calculates the logarithmic gamma of +x+ and the sign of gamma of +x+.
|
||||
*
|
||||
* Math.lgamma(x) is same as
|
||||
* [Math.log(Math.gamma(x).abs), Math.gamma(x) < 0 ? -1 : 1]
|
||||
* but avoid overflow by Math.gamma(x) for large x.
|
||||
*
|
||||
* Math.lgamma(0) #=> [Infinity, 1]
|
||||
*
|
||||
*/
|
||||
|
||||
static VALUE
|
||||
|
|
@ -767,10 +885,12 @@ exp1(sqrt)
|
|||
/*
|
||||
* Document-class: Math
|
||||
*
|
||||
* The <code>Math</code> module contains module functions for basic
|
||||
* The Math module contains module functions for basic
|
||||
* trigonometric and transcendental functions. See class
|
||||
* <code>Float</code> for a list of constants that
|
||||
* Float for a list of constants that
|
||||
* define Ruby's floating point accuracy.
|
||||
*
|
||||
* Domains and codomains are given only for real (not complex) numbers.
|
||||
*/
|
||||
|
||||
|
||||
|
|
@ -781,12 +901,14 @@ Init_Math(void)
|
|||
rb_eMathDomainError = rb_define_class_under(rb_mMath, "DomainError", rb_eStandardError);
|
||||
|
||||
#ifdef M_PI
|
||||
/* Definition of the mathematical constant PI as a Float number. */
|
||||
rb_define_const(rb_mMath, "PI", DBL2NUM(M_PI));
|
||||
#else
|
||||
rb_define_const(rb_mMath, "PI", DBL2NUM(atan(1.0)*4.0));
|
||||
#endif
|
||||
|
||||
#ifdef M_E
|
||||
/* Definition of the mathematical constant E (e) as a Float number. */
|
||||
rb_define_const(rb_mMath, "E", DBL2NUM(M_E));
|
||||
#else
|
||||
rb_define_const(rb_mMath, "E", DBL2NUM(exp(1.0)));
|
||||
|
|
|
|||
Loading…
Reference in a new issue