APL function symbols
Encyclopedia : A : AP : APL : APL function symbols
The following APL operators are given, separated into their monadic and dyadic forms. For non-standard characters, a hexadecimal UCS-2 index value is given.
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Monadic operators
| Name | Example | Meaning | UCS-2 Hex |
|---|---|---|---|
| Roll | ?B | Integer selected randomly from 1 through B | 003F |
| Ceiling | ⌈B | Least integer greater than or equal to B | 2308 |
| Floor | ⌊''B | Greatest integer less than or equal to B | 230A |
| Shape | ⍴B | Number of components in each dimension of B | 2374 |
| Not | ∼B | Logical: ∼1 is 0, ∼0 is 1 | 223C |
| Absolute value | ∣B | Magnitude of B | 2223 |
| Index generator | ⍳B | Vector of integers from 1 to B | 2373 |
| Exponential | ⋆B | e to the B power | 22C6 |
| Negation | −B | Changes sign of B | 2212 |
| Monadic plus | +B | No change to B | 002B |
| Signum | ×B | ¯1 if B<0; 0 if B=0; 1 if B>0 | 00D7 |
| Reciprocal | ÷B | 1 divided by B | 00F7 |
| Ravel | ,B | Reshapes B into a vector | 002C |
| Matrix inverse | ⌹B | Inverse of B | 2339 |
| Pi times | ○B | Multiply by π | 25CB |
| Logarithm | ⍟B | Natural logarithm of B | 235F |
| Reversal | ⌽B | Reverse elements of B | 233D |
| Reversal | ⊖B | Reverse elements of B along 1st dimension | 2296 |
| Grade up | ⍋B | Indices of B which will arrange B in ascending order | 234B |
| Grade down | ⍒B | Indices of B which will arrange B in descending order | 2352 |
| Execute | ⍎B | Execute an APL expression | 234E |
| Monadic format | ⍕B | A character matrix representation of B | 2355 |
| Monadic transpose | ⍉B | Reverse the dimensions of B | 2349 |
| Factorial | !B | Product of integers 1 to B | 0021 |
Dyadic operators
| Name | Example | Meaning | UCS-2 Hex |
|---|---|---|---|
| Add | A+B | Sum of A and B | 002B |
| Subtract | A−B | A minus B | 2212 |
| Multiply | A×B | A multiplied by B | 00D7 |
| Divide | A÷B | A divided by B | 00F7 |
| Exponentiation | A⋆B | A raised to the B power | 22C6 |
| Circle | A○B | Trigonometric functions of B selected by A A=1: sin(B) A=2: cos(B) A=3: tan(B) | 25CB |
| Deal | A?B | A distinct integers selected randomly from set 1 to B | 003F |
| Membership | A∈B | 1 if A is present in B; otherwise 0 | 2208 |
| Maximum | A⌈B | The greater value of A or B | 2308 |
| Minimum | A⌊B | The smaller value of A or B | 230A |
| Reshape | A⍴B | Array of shape A with data B | 2374 |
| Take | AB | B | 2191 |
| Drop | A↓B | B | 2193 |
| Decode | A⊥B | Value of a polynomial whose coefficients are B at A | 22A5 |
| Encode | A⊤B | Base-A representation of the value of B | 22A4 |
| Residue | A∣B | The A modula value of B lying between A and 0 | 2223 |
| Catenation | A,B | Elements of B appended to the elements of A | 002C |
| Expansion | A\B | Insert zeros (or blanks) in B corresponding to zeros in A | 005C |
| Compression | A/B | Select elements in B corresponding to ones in A | 002F |
| Index of | A⍳B | B in A; if not found | 2373 |
| Matrix divide | A⌹B | Solution to system of linear equations Ax = B | 2339 |
| Rotation | A⌽B | The elements of B are rotated A positions | 233D |
| Rotation | A⊖B | The elements of B are rotated A positions in the 1st dimension | 2296 |
| Logarithm | A⍟B | Logarithm of B to base A | 235F |
| Dyadic format | A⍕B | Format B into a character matrix according to A | 2355 |
| General transpose | A⍉B | The dimensions of B are ordered by A | 2349 |
| Combinations | A!B | Number of combinations of B taken A at a time | 0021 |
| Less than | A<B | Comparison: 1 if true, 0 if false | 003C |
| Less than or equal | A≤B | Comparison: 1 if true, 0 if false | 2264 |
| Equal | A=B | Comparison: 1 if true, 0 if false | 003D |
| Greater than or equal | A≥B | Comparison: 1 if true, 0 if false | 2265 |
| Greater than | A>B | Comparison: 1 if true, 0 if false | 003E |
| Not equal | A≠B | Comparison: 1 if true, 0 if false | 2260 |
| Or | A∨B | Logic: 0 if A and B are 0; 1 otherwise | 2228 |
| And | A∧B | Logic: 1 if A and B are 1; 0 otherwise | 2227 |
| Nor | A⍱B | Logic: 1 if both A and B are 0; otherwise 0 | 2371 |
| Nand | A⍲B | Logic: 0 if both A and B are 1; otherwise 1 | 2372 |
Reference
External links
- [APL character reference Page 1]
- [APL character reference Page 2]
- [APL character reference Page 3]
- [APL character reference Page 4]
See also
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