[Pkg] The Trunk: Kernel-nice.572.mcz
commits at source.squeak.org
commits at source.squeak.org
Sat Apr 23 02:12:40 UTC 2011
Nicolas Cellier uploaded a new version of Kernel to project The Trunk:
http://source.squeak.org/trunk/Kernel-nice.572.mcz
==================== Summary ====================
Name: Kernel-nice.572
Author: nice
Time: 23 April 2011, 4:11:47.274 am
UUID: 83be5282-f6ca-43d4-a8c9-6618feeb883e
Ancestors: Kernel-nice.571
Correct Complex arcSin and arcCos
Let (1 arTanh) return inf
=============== Diff against Kernel-nice.571 ===============
Item was changed:
----- Method: Complex>>arcCos (in category 'mathematical functions') -----
arcCos
"Answer the arc cosine of the receiver.
This is the inverse function of cos."
| x y tmp sh2y shy delta ch2y chy |
imaginary = 0 ifTrue: [real abs > 1
ifTrue:
[x := real < 0
ifTrue: [Float pi]
ifFalse: [0].
y := real abs arCosh.
^self class real: x imaginary: y]
ifFalse: [^self class real: real arcCos imaginary: 0]].
tmp := self squaredNorm - 1 / 2.
delta := tmp squared + imaginary squared.
sh2y := tmp + delta sqrt.
shy := sh2y sqrt.
ch2y := 1 + sh2y.
chy := ch2y sqrt.
y := imaginary copySignTo: shy arSinh.
x := (real / chy) arcCos.
+ ^self class real: x imaginary: y negated!
- ^self class real: x imaginary: y!
Item was changed:
----- Method: Complex>>arcSin (in category 'mathematical functions') -----
arcSin
"Answer the arc sine of the receiver.
This is the inverse function of sin."
| x y tmp delta sh2y shy ch2y chy |
imaginary = 0
ifTrue:
[real abs > 1
ifTrue:
[x := Float pi / 2 * real sign.
y := real abs arCosh * real sign.
^self class real: x imaginary: y]
+ ifFalse: [^self class real: real arcSin imaginary: 0]].
- ifFalse: [^self class real arcSin imaginary: 0]].
tmp := (self squaredNorm - 1) / 2.
delta := tmp squared + imaginary squared.
sh2y := tmp + delta sqrt.
shy := sh2y sqrt.
ch2y := 1 + sh2y.
chy := ch2y sqrt.
y := imaginary copySignTo: shy arSinh.
x := (real / chy) arcSin.
^self class real: x imaginary: y!
Item was changed:
----- Method: Float>>arTanh (in category 'mathematical functions') -----
arTanh
"Answer receiver's area hyperbolic tangent.
That is the inverse function of tanh."
self = 0.0 ifTrue: [^self]. "Handle negativeZero"
+ self abs = 1 ifTrue: [^self copySignTo: Float infinity].
+ self abs > 1
- self abs >= 1
ifTrue:
+ [^DomainError signal: 'Receiver must be between 1.0 and -1.0'].
- [^DomainError signal: 'Receiver must be strictly between 1.0 and -1.0'].
^((1 + self) / (1 - self)) ln / 2!
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