There are a lot of operators in Perl 6, so many that it can be called an OOL: operator oriented language. Here I describe most of them from the angle of contexts, which Perl 6 has also much more than Perl 5.

1. Perl 6 in context

2. Up to now:
general
Array / Hash
Regex
OOP

3. lichtkind.de
general
Array / Hash
Regex
OOP

4. big topics
general
variable
parser
abstraction

5. big topics
variable
parser
abstraction
expression

6. OOP ==> OOL
Array / Hash
Regex
OOP
Operator

7. OOP ==> OOL
Operator
Oriented
Language

8. word about operators

9. operator
pictogram

11. Edge Detection
pictogram
quick orientation
like indentation

12. Done By Retina
pictogram
quick orientation
like indentation

13. I forgot to mention

14. Visual Cortex

15. information / min
incoming:
12 000 000
conscious: 40

16. operator
pictogram
quick orientation

17. Visual Recognition
pictogram
quick orientation
like empty line

18. Visual Recognition
pictogram
quick orientation
like indentation

19. Visual Recognition
pictogram
quick orientation
decor. comments

20. One more thing ...

21. emotional brain

22. Antonio Damasio

23. Antonio Damasio
Leading
Neurologist

24. Emotion != Feelings

25. Feeling

26. Emotion

27. Damasio:
Emotion is how
brain deal with
huge data
quantities.

28. does association

29. Emotions:
triggered (words|pic)
values & judgement
enables memory

30. TIMTOWTDI =
Respect your
emotional wiring
(experience)

31. TIMTOWTDI =
less emotional
stress = higher
productivity

32. Ambiguous:
Java: Str + Str

33. Not Ambiguous:
Perl 5/6: Num + Num

34. Topicalizer
Perl 6:
class instead
package

35. One more thing ...

36. Jill Bolte

37. Jill Bolte:
Neuroanatomist
having left side
stroke, experiencing
just the emotional
mind

38. Jill Bolte:
left brain works in
sequence
(future/past) and
enables language

39. Jill Bolte:
right brain works in
parallel, cares about
now, emotions,
whole picture,
graphics

40. conclusio:
use right brain to
grok complex
systems

41. James Gates

42. Adinkra:

44. New P6 Meta Ops:
more direct
right brain
access

45. End of my Sermon

46. Synopsis 1: Overview

47. Perl 5 in context

48. Perl 5 in context
wantarray

49. context: wantarray
true (else) - array
false (0|'') - scalar
undef - void

50. Perl 6 in context
no wantarray !!!

51. P6 Internals
context
=
data type
=
class

52. Type Classes:
Num
Str
Array
Hash
...

53. As Known:
my $num = 12;
my $str = 'text';

54. Optional:
my Num $num = 12;
my Str $str = 'text';

55. How to convert ?
my Num $num = 12;
my Str $str = 'text';

56. As Java knows ?
public method to_string {

57. Not Perl 6:
$var.to_string();

58. Not Perl 5:
$var.to_string();

59. Perl 5 in Context
$nr =()= $str =~ /.../g;

60. Secret Goatse Op
$nr =()= $str =~ /.../g;

61. No Real List Context
$nr =()= $str =~ /.../g;

62. Explicit in Perl 6
@() array

63. Explicit in Perl 5
@{} array

64. Explicit in Perl 6
$() scalar
@() array
%() hash
&() code
::() namespace

65. Perl 6 Major Contex
$ scalar
@ array
% hash

66. Invariant Sigil
$ scalar
@ array
% hash

67. Invariant Sigil
$scalar
@array
%hash

68. Don't Show Context
$scalar
@array[5]
%hash{'key'}

69. Native Hash Slice
$scalar
@array[5]
%hash<key>

70. Sigils
$ scalar
@ positional
% asociative
& callable
:: namespace

71. Context operator
$() scalar
@() array
%() hash
&() code
::() namespace

72. With Long Version
$() item()
@() list()
%() hash()
&() code()
::()

73. Braces Optional
$() item()
@() list()
%() hash()
&() code()

74. Item Context
$() item()
@() list()
%() hash()
&() code()
::()

75. List Context
$() item()
@() list()
%() hash()
&() code()
::()

76. P5 List Context
$() item()
@() flat()
%() hash()
&() code()
::()

77. Hash Context
$() item()
@() list()
%() hash()
&() code()
::()

78. Code Context
$() item()
@() list()
%() hash()
&() code()
::()

79. Namescpace Context
$() item()
@() list()
%() hash()
&() code()
::( $str )

80. More Context Op
~ string
+ numeric
? boolean

81. Negative Op
~ string
+ - numeric
? ! boolean

82. Example without ()
~@list
+@list
?@list

83. String Context
~@list @list[0]~@list[1]
+@list
?@list

84. Num Context
~@list @list[0]~@list[1]
+@list @list.elems
?@list

85. Bool Context
~@list @list[0]~@list[1]
+@list @list.elems
?@list @list.elems > 0

86. Bool Context
?

87. Bool Context
? !
?^ ?| ?&
^ | &
// ^^ || && ff fff
?? !!

88. Grey is Logic
? !
?^ ?| ?&
^ | &
// ^^ || && ff fff
?? !!

89. Bool Context
?

90. Bool Context
my $var = 45;
say ?$var;

91. Bool Context
my $var = 45;
say ?$var;
True

92. Bool Context
my $var = 45;
say ?$var;
True
Bool::True in String Context

93. Bool Context
my $var = 45;
say !$var;
False
Bool::False v String Cont.

94. Is it so ?
my $var = e;
say so($var);
True
Bool::True v String Context

95. Is it not so ?
my $var = e;
say not $var;
False
Bool::False v String Cont.

96. High Precedence
my $var = 45;
say ?$var + 1;

97. High Precedence
my $var = 45;
say ?$var + 1;
2
True in Num Context = 1

98. Low Precedence
my $var = 45;
say so $var + 1;

99. Low Precedence
my $var = 45;
say so $var + 1;
True
46 v Bool Kontext = True

100. Bool Context
my $var = 45;
say 1 if $var + 1;
1
46 v Bool Context = True

101. Bool Context
my $var = 45;
say 1 if $var + 1;
1
If unless while until

102. That was easy !
? !
?^ ?| ?&
^ | &
// ^^ || && ff fff
?? !!

103. Still ?
?^ ?| ?&

104. Wants Bool Context
?^ ?| ?&

105. Known Logic Ops
?^ ?| ?&

106. 1+2 = ?
?^ ?| ?&

107. What could that be?
say 0 ?| 'tree';

108. Clearly !!!
say 0 ?| 'tree';
True
False or True = True

109. What could that be?
say 5 ?^ 0.0;

110. Clear as daylight.
say 5 ?^ 0.0;
True
True xor False = True

111. You get a sense
? !
?^ ?| ?&
^ | &
// ^^ || && ff fff
?? !!

112. Hmmmmm ?
^ | &

113. Hmmmmm ?
$var = 0 | 'tree';
say $var;

114. Now Know More ?
$var = 0 | 'tree';
say $var;
any(0, 'tree')

115. Junctions !
$var = 0 | 'tree';
say $var;
any(0, tree)
literally: 0 or 'tree'

116. Short Overview
0 | 1 | 3 = any(0,1,3);
0 & 1 & 3 = all(0,1,3);
0 ^ 1 ^ 3 = one(0,1,3);

117. Quiz Time !
2 ~~ 0 | 1 | 3 | 7

118. Expected Differently
2 ~~ 0 | 1 | 3 | 7
False

119. Next Question
1 == 0 | 1 | 3

120. You get:
1 == 0 | 1 | 3
any(False, True, False)

121. Nicer if statements !
if $val == 0 | 1 | 3 { ...

122. Junctions !
if $val == 0 | 1 | 3 { ...
True

123. Junctions !
if $val == 0 | 1 | 3 { ...
any(False, True,
False).to_bool

124. It Gets Clearer
? !
?^ ?| ?&
^ | &
// ^^ || && ff fff
?? !!

125. No Forced Context
// ^^ || && ff fff

126. short circuit OR
doit() || doelse();

127. short circuit OR
doit() || doelse();
doit() unless doelse();

128. Defined OR
doit() // doelse();

129. Defined OR
doit() // doelse();
doelse() unless defined doit();

130. short circuit AND
doit() && doelse();
doelse() if doit();

131. short circuit XOR
doit() ^^ doelse();

132. eXclusive OR
doit() ^^ doelse();
my($l, $r)=(doit(), doelse());
if not $l { $r }
else { $r ?? Nil !! $l }

133. No else with unless
doit() ^^ doelse();
my($l, $r)=(doit(), doelse());
if not $l { $r }
else { $r ?? Nil !! $l }

134. All Shortcuts
this() || that();
this() // that();
this() && that();
this() ^^ that();

135. Boundary Values
$a min $b
$a max $b
$a minmax $b

136. Boundary Values
$a min $b
$a max $b
minmax @a

137. Flipflop
begin() ff end();
begin() fff end();

138. Was .. | … in $ contxt
while … {
run() if begin() ff end();
run() if begin() fff end();
}

139. Skoro u Cile
? !
?^ ?| ?&
^ | &
// ^^ || && ff fff
?? !!

140. Ternärer Op
?? !!

141. Ternary Op
was ? :
?? !!

142. Ternary Op
was ? :
eval in Bool context
?? !!

143. Ternary Op
was ? :
eval in Bool context
values unchanged
?? !!

144. All Clear Now ?
? !
?^ ?| ?&
^ | &
// ^^ || && ff fff
?? !!

145. Numeric Kontext
+ - * / % %% **
+^ +| +&
+< +>

146. Everybody knows:
+ - * / % %% **
+^ +| +&
+< +>

147. Division
7 / 3
7/3(2.333) | 2

148. Modulo
7 % 3

149. Modulo
7 % 3
7 = 3 * 2 + 1

150. ModMod?
7 %% 3

151. Indivisible
7 %% 3
False => remainder 1

152. Numeric Context
+ - * / % %% **
+^ +| +&
+< +>

153. Bit Logic
+^ +| +&

154. Bit Logic
(was:)
^ | &
+^ +| +&

155. Bit - Shift
+< +>

156. Bit - Shift
(was:)
<< >>
+< +>

157. Numeric Context
+ - * / % %% **
+^ +| +&
+< +>

158. Someth. Forgotten?

159. Someth. Forgotten?
++
--

160. Ordered Sets
++ after
- - before
cmp

161. Ordered Sets
cmp:
Less, Same, More

162. Ordered Sets
cmp:
Less, Same, More
-1, 0, 1

163. Still in Context
<=>
leg
cmp

164. Compare in Context
<=> Num Context
leg Str Context
cmp elsewhere

165. Compare in Context
< Num Context
lt Str Context
before elsewhere

166. Compare in Context
> Num Context
gt Str Context
after elsewhere

167. Ordered Sets
++ 1 after
- - 1 before

168. Equality in Context
== Num Context
eq Str Context
=== Id. (typ & val)

169. Equality in Context
== Num Context
eq Str Context
eqv everywhere

170. Equality in Context
== Num Context
=:= binding
eqv dynamic

171. Dynamic in Context
if 2 eqv 2.0 {

172. Data Type => Content
if 2 eqv 2.0 {
Int() vs. Rat()

173. Data Type => Content
if 2 == 2.0 {

174. Data Type => Content
if 2 == 2.0 {
True (Num Kontext)

175. Numeric Context
+ - * / % %% **
+^ +| +&
+< +>

176. String Context
~
~^ ~| ~&
~~ x

177. Perlish to_string
~

178. Was Once .
~
say 'combine' ~ 'Watson';

179. String Context
~
~^ ~| ~&
~~ x

180. Letter Logic
~^ ~| ~&

181. Letter Logic
1 +| 2 = 3
'a' ~| 'b' = 'c'

182. String Context
~
~^ ~| ~&
~~ x

183. String Context
~
~^ ~| ~&
~~ x

184. Anyone Knows
say '-' x 20;

185. Multiply Strings
say '-' x 20;
'--------------------'

186. String Context
~
~^ ~| ~&
~~ x

187. List Context
, … xx X Z
<<== <== ==> ==>>

188. Comma Operator
@fib = 1, 1, 2, 3, 5;

189. Same As:
$fib = (1, 1, 2, 3, 5);

190. Comma Operator
$fib = (1);
say $fib.WHAT;
Int

191. Comma Operator
$fib = (1 ,);
say $fib.WHAT;

192. Comma Operator
$fib = (1 ,);
say $fib.WHAT;
Parcel

193. Comma Operator
$fib = (1 ,);
say $fib.WHAT;
List of Parameter

194. Capture Context
| named parameter
|| positional parameter

195. List Context
, … xx X Z
<<== <== ==> ==>>

196. Sequence Operator
$d = 1, 2 … 9;

197. Yadda Operator
sub planned { … }

198. Yadda Operator
sub planned { … }
sub planned { ??? }
sub planned { !!! }

199. Sequence Operator
$d = 0, 1 … 9;

200. Sequence op can!
$d = 9, 8 … 0;

201. Range Op can't!
$d = 9 .. 0;

202. Range Op can't!
$d = reverse 0 .. 9;

203. Sequence op can.
$d = 9, 8 … 0;

204. Sequence Operator
$zp = 1, 2, 4… 256;

205. Sequence Operator
$fib = 1, 1, *+* … *;

206. Forgot something?
$d = 0 .. 9;

207. Forgot something ?
say 0 .. 9;

208. No List ?
say 0 .. 9;
0..9

209. Depends On Context
say (0 .. 9);

210. braces -> precedence
say (0 .. 9);
0..9

211. What is it ?
say (0 .. 9);

212. What is it ?
say (0 .. 9).WHAT;

213. Range ???
say (0 .. 9).WHAT;
Range

214. Range ???
say (0 .. 9).WHAT;
Obj with 2 values

215. Range ???
say 5 ~~ 0 .. 9;
True

216. How you create Lists
say @(0..9).WHAT;
List

217. List - Output?
say @(0 .. 9);
0 1 2 3 4 5 6 7 8 9

218. for - ces List context
say $_ for 0 .. 9;
0 1 2 3 4 5 6 7 8 9

219. real perlheads do:
say for 0 .. 9;

220. real perl5heads do:
say for 0 .. 9;

221. Perl 6 heads:
.say for 0 .. 9;
0 1 2 3 4 5 6 7 8 9

222. List Context
, … xx X Z
<<== <== ==> ==>>

223. Play with Lists
xx X Z

224. xx Operator

225. xx Operator
say 'eins zwo eins zwo';

226. xx Operator
say 'eins zwo eins zwo';
say q:words(eins zwo) xx 2;

227. xx Operator
say 'eins zwo eins zwo';
say q:words(eins zwo) xx 2;
say q:w(eins zwo) xx 2;

228. xx Operator
say 'eins zwo eins zwo';
say q:words(eins zwo) xx 2;
say q:w(eins zwo) xx 2;
say qw(eins zwo) xx 2;

229. xx Operator
say 'eins zwo eins zwo';
say q:words(eins zwo) xx 2;
say q:w(eins zwo) xx 2;
say qw(eins zwo) xx 2;
say <eins zwo> xx 2;

230. X Operator
say <eins zwo> X
<dan rabauke>;

231. Cartesian Product
say <eins zwo> X
<dan rabauke>;
eins dan eins rabauke
zwo dan zwo rabauke

232. Its pairs in real:
say <eins zwo> X
<dan rabauke>;
('eins','dan'),('eins','rabauke'),
('zwo','dan'),('zwo','rabauke')

233. Its pairs in real:
say elems(<1 2>X<3 4>);
4

234. Z Operator
say <eins zwo> Z
<dan rabauke>;

235. Zip
say <eins zwo> Z
<dan rabauke>;
eins dan zwo rabauke

236. Zip
say <eins zwo> zip
<dan rabauke>;
eins dan zwo rabauke

237. Zip as a Op
for @li Z @re -> $l, $r {

238. read write var
for @li Z @re <-> $l,$r {

239. List Context
, xx X Z
<<== <== ==> ==>>

240. Schwartz Transform
my @output =
map { $_->[0] }
sort { $a->[1] cmp $b->[1] }
map { [$_,expensive_func($_)] }
@input;

241. Pipe Operator
my @output
<== map { $_[0] }
<== sort { $^a[1] cmp $^b[1] }
<== map { [$_, expensive_fun($_)] }
<== @input;

242. Other Direction
@input
==> map { [$_,expensive_fun($_)] }
==> sort { $^a[1] cmp $^b[1] }
==> map { $_[0] }
==> my @output;

243. Append Mode
my @output
<<== map { $_[0] }
<<== sort { $^a[1] cmp $^b[1] }
<<== map { [$_,expensive_fun($_)] }
<<== @input;

244. Pointy Sub
for @input -> $i { ...

245. List Context
, xx X Z
<<== <== ==> ==>>

246. Meta Ops
= !
X Z R S
[] []
<< >>

247. Meta Op =
@sum += 3;

248. Meta Op !
if $age !< 18 {

249. Meta Op !
if $age !< 18 {
# real P6 code

250. Meta Op R
$age = 2 R- 18;
# == 16

251. Meta Op S
$age = 2 S- 18;
# == -16

252. Meta Op S
$age = 2 S- 18;
# actually error

253. Meta Op S
$age = 2 S- 18;
# don't parallel !!!

254. Meta Op S
$age = 2 S- 18;
# later important

255. Meta Ops
= !
X Z R S
[] []
<< >>

256. Meta Op X

257. Let's Remember
say <1 2> X <a b>
1 a 1 b 2 a 2 b

258. Let's Remember
<1 2> X <a b>
<1 a>,<1 b>,<2 a>,<2 b>

259. Cartesian Product
<1 2> X <a b>
('1','a'),('1','b'),('2','a'),('2','b')

260. Cartesian Pairs
<1 2> X~ <a b>
'1a','1b','2a','2b'

261. no num out of 'a'
<1 2> X+ <a b>
Stacktrace

262. Cartesian Pairs
<1 2> X* <3 4>

263. Cartesian Pairs
<1 2> X* <3 4>
3, 4, 6, 8

264. Meta Op Z
# guess what ?

265. Metaop Z
<1 2> Z~ <3 4>

266. Metaop Z
<1 2> Z~ <3 4>
'13','24'

267. Metaop Z
<1 2> Z* <3 4>
3, 8

268. Metaop Z
(<1 2>;<3 4>).zipwith(&[*])
<1 2> Z* <3 4>

269. Metaop
(<1 2>;<3 4>).zip()
<1 2> Z <3 4>

270. Metaop
(<1 2>;<3 4>).cross()
<1 2> X <3 4>

271. Metaop
(<1 2>;<3 4>).crosswith(&[*])
<1 2> X* <3 4>

272. Meta Ops
= !
X Z R S
[] []
<< >>

273. Meta Op []

274. Do it like Gauss
(1..100).reduce(&[+])

275. Forces List Context
(1..100).reduce(&[+])
[+] 1 .. 100

276. Forces List Context
True
[<] 1 .. 100

277. Any Clue?
(1..100).triangle(&[+])
[+] 1 .. 100

278. What's that ?
1, 3, 6
[+] 1 .. 3

279. What's that ?
1=1, 1+2=3, 1+2+3=6
[+] 1 .. 3

280. Hyper Op <<

281. Birthday !!!
@age >>++;

282. Birthday !!!
@age >>+=>> 1;

283. all get older
@age == 18, 22, 35;
@age = @age >>+>> 1;
@age == 19, 23, 36;

284. only one gets older
@age == 18, 22, 35;
@age = @age <<+<< 1;
@age == 19;

285. interesting cases
<18, 22, 35> >>+<< <1, 2>
<18, 22, 35> <<+>> <1, 2>

286. interesting cases
<18, 22, 35> >>+<< <1, 2>
ERROR
<18, 22, 35> <<+>> <1, 2>
19, 24, 36

287. complexity ++
~~
not today

288. Thank You !!!
vv