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IBM 5100 Apl Reference Manual
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34
To
generate
a
matrix,
you
specify
X
(left
argument)
as
two
numbers,
which
are
the
lengths
of
the
two
coordinates.
The
first
number
in
X
is
the
length
of
the
first
co-
ordinate,
or
number
of
rows,
and
the
second
number
is
the
length
of
the
second
coordinate,
or
number
of
columns.
The
following
example
shows
how
a
matrix
is
generated:
M~2
3pi
2
3
4
5
6
t-1
:1.
2
3
I.~
~;
6
(o1BCB
EFGH
ABC
DEF
t.1f-2
1+
r
J
I
ABCDEFGH
I
M
M
:1.
i-
2
:.3
p
t1
Mi
Note
that
the
values
in
the
right
argument
are
arranged
in
row
order
in
the
arrays.
If
the
right
argument
has
more
than
one
row,
the
elements
are
taken
from
the
right
argument
in
row
order.
The
rank
of
an
array
is
the
number
of
coordinates
it
has,
or
the
number
of
indices
required
to
locate
any
element
within
that
array.
Scalars
are
rank
O.
Vectors
have
a
rank
of
1,
matrices
have
a
rank
of
2,
and
N-rank
arrays
have
a
rank
from
3
to
63
(where
N
is
equal
to
the
rank).
N-rank
arrays,
like
matrices,
are
generated
by
providing
as
the
left
argument
a
number
indicating
the
length
for
each
coordinate
(planes,
rows,
and
columns).
The
following
examples
show
how
to
generate
3-rank
arrays.
Note
that
the
elements
taken
from
the
right
argument
are
arranged
in
row
order:
I~IBCD
EFGH
I,.JKI...
MNDP
f~I~ST
UVWX
AB
CD
EF
GH
IJ
1{1...
~1N
DP
GR
ST
UV
WX
A~'ABCDEFGHIJKLMNOPQRSTUVWXYZ'
;.~
:5
lJ.
P(.~I
\.
____
2-plane,
3-row,
4-column
array
'+
3
2
f)l~
\\-
___
4-plane,
3-row,
2-column
array
37
39
Table of Contents
Default Chapter
3
Table of Contents
3
Chapter 1 . Operation
6
Display Screen
6
Switches
6
Power on or Restart Procedures
6
Display Screen Control
7
Keyboard
9
Attention
9
Hold
10
Execute
10
Command
10
Positioning the Cursor and Information on the Display Screen
10
Copy Display
12
Indicator Lights
12
Process Check
12
In Process
13
Chapter 2. System Commands
14
System Overview
14
System Command Descriptions
14
The )CLEAR Command
17
The )CONTINUE Command
17
The )COPY Command
18
The )DROP Command
19
I the )ERASE Command
19
The )FNS Command
20
The )LIB Command
20
The) LOA D Command
22
The )MARK Command
22
The )MODE Command
24
The )OUTSEL Command
24
The )PATCH Command
25
The) PCOPY Command
29
The )REWIND Command
30
The )SAVE Command
30
The )Sf Command
31
The )SIV Command
31
The )SYMBOLS Command
32
The )VARS Command
33
The )WSID Command
33
Chapter 3. Data
34
Variables
34
Data Representation
34
Numbers
34
Scaled Representation (Scientific Notation)
35
Character Constants
35
Logical Data
36
Scalar
36
Arrays
36
Generating Arrays
37
Finding the Shape of an Array
39
Empty Arrays
40
Catenation
41
Indexing
43
Chapter 4. Primitive (Built-In) Functions
47
Primitive Scalar Functions
47
The + Function: Conjugate, Plus
48
The - Function: Negation, Minus
49
The X Function: Signum, Times
50
The"," Function: Reciprocal, Divide
52
Function: Ceiling, Maximum
53
The L Function: Floor, Minimum
55
The I Function: Magnitude, Residue
56
The * Function: Exponential, Power 54
58
The ~ Function: Natural Log, Logarithm
59
The 0 Function: Pi Times, Circular
60
The! Function: Factorial, Binomial
63
The? Function: Roll
65
The Function: and
66
The V Function: or
67
The'" Function: Not
68
The Afunction: Nand
69
The Vfunction: nor
70
The> Function: Greater than
71
The = Function: Equal to
72
The < Function: Less than
73
The Function: Greater than or Equal to
74
The,; Function: Less than or Equal to
75
The Function: Not Equal to
76
Primitive Mixed Functions
77
The P Function: Shape, Reshape (Structure)
79
The, Function: Rpvel, Catenate, Laminate
81
The Function: Compress
85
The \ Function: Expand
86
The Function: Grade up
87
The 'F Function: Grade down
88
Function: Drop
91
The 1 Function: Index Generator, Index of
92
The ¢ Function: Reverse, Rotate
93
The ~ Function: Transpose, Generalized Transpose
97
The? Function: Deal
99
The 1. Function: Decode (Base Value)
100
The T Function: Encode (Representation)
103
The E Function: Membership
108
The .T Function: Execute
111
The ~ Function: Format
112
APL Operators
115
Reduction Operator (I)
115
Inner Product Operator
117
Outer Product Operator (0 .)
120
Scan Operator
122
Special Symbols
124
Assignment Arrow
124
Branch Arrow -)
125
Quad Quote [!]
126
Comment R
126
Parentheses ( )
126
Other manuals for IBM 5100
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Communications Manual
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136 pages
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IBM 5100 Specifications
General
Release Year
1975
RAM
16 KB - 64 KB
Storage
204 KB tape drive
Display
5-inch CRT
Operating System
APL/BASIC
Processor
IBM PALM (1.9 MHz)
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