In: |
complex.rb
|
# File complex.rb, line 491 def sinh(z) if Complex.generic?(z) sinh!(z) else Complex( sinh!(z.real)*cos!(z.image), cosh!(z.real)*sin!(z.image) ) end end
# File complex.rb, line 499 def cosh(z) if Complex.generic?(z) cosh!(z) else Complex( cosh!(z.real)*cos!(z.image), sinh!(z.real)*sin!(z.image) ) end end
# File complex.rb, line 507 def tanh(z) if Complex.generic?(z) tanh!(z) else sinh(z)/cosh(z) end end
# File complex.rb, line 534 def acos(z) if Complex.generic?(z) and z >= -1 and z <= 1 acos!(z) else -1.0.im * log( z + 1.0.im * sqrt(1.0-z*z) ) end end
# File complex.rb, line 542 def asin(z) if Complex.generic?(z) and z >= -1 and z <= 1 asin!(z) else -1.0.im * log( 1.0.im * z + sqrt(1.0-z*z) ) end end
# File complex.rb, line 550 def atan(z) if Complex.generic?(z) atan!(z) else 1.0.im * log( (1.0.im+z) / (1.0.im-z) ) / 2.0 end end
# File complex.rb, line 558 def atan2(y,x) if Complex.generic?(y) and Complex.generic?(x) atan2!(y,x) else -1.0.im * log( (x+1.0.im*y) / sqrt(x*x+y*y) ) end end
# File complex.rb, line 566 def acosh(z) if Complex.generic?(z) and z >= 1 acosh!(z) else log( z + sqrt(z*z-1.0) ) end end