1 # trigonometry for DCT, by Shiar
3 # 1.11.2 200411032120 - check for menu module before addmenu()
4 # 1.11.1 200410282330 - cardial mode setting; rad/deg to switch to radians/degrees
5 # - convert from/to radians for trig commands if rad mode set
6 # 1.11.0 200410152320 - a?(sin|cos|tan)h? actions from math; links in main submenu trig
11 my $pi = atan2(1, 1) * 4;
13 $set{card} = 1; # degrees radians grades
18 'pi' => [0, sub { $pi }], # pi constant
20 'deg' => [-1, sub { $set{card} = 1 }], # set degrees
21 'rad' => [-1, sub { $set{card} = 2 }], # set radians
24 'sin' => [1, sub { sin $_[0] }], # sine
25 'asin' => [1, sub { atan2($_[0], sqrt(1 - $_[0]*$_[0])) }], # inverse sine
26 'cos' => [1, sub { cos $_[0] }], # cosine
27 'acos' => [1, sub { atan2(sqrt(1 - $_[0]*$_[0]), $_[0]) }], # inverse cosine
28 'tan' => [1, sub { sin($_[0]) / cos($_[0]) }], # tangent
29 'atan' => [1, sub { atan2($_[0], 1) }], # arctangent
32 'sinh' => [1, sub { (exp($_[0]) - exp(-$_[0])) / 2 }], # hyperbolic sine
33 'cosh' => [1, sub { (exp($_[0]) + exp(-$_[0])) / 2 }], # hyperbolic cosine
34 'tanh' => [1, sub { (exp($_[0]) - exp(-$_[0])) / (exp($_[0]) + exp(-$_[0])) }], # hyperbolic tangent (sinh/cosh)
35 'asinh'=> [1, sub { log(sqrt($_[0]**2+1) + $_[0]) }], # inverse hyperbolic sine
36 'acosh'=> [1, sub { log(sqrt($_[0]**2-1) + $_[0]) }], # inverse hyperbolic cosine
37 'atanh'=> [1, sub { log((1+$_[0]) / (1-$_[0])) / 2 }], # inverse hyperbolic tangent
40 push @{$hook{preaction}}, sub {
41 return unless $set{card}==2;
42 # convert user input from radians if necessary
43 $stack[0] /= 360/$pi if $_[1] =~ /^(?:sin|cos|tan)h?$/;
45 push @{$hook{postaction}}, sub {
46 return unless $set{card}==2;
47 # convert command output to radians if necessary
48 $stack[0] *= 360/$pi if $_[1] =~ /^a(?:sin|cos|tan)h?$/;
51 addmenu(["main", 0], "trig", #todo: in math, not in main
52 qw(sin cos tan asin acos atan),
53 qw(sinh cosh tanh asinh acosh atanh),
55 ) if defined &addmenu;
59 title => "trigonometry",