ntype

ntype(num)

:: Classifier of type num. Returns a sub-type number, an integer, for obj.

return

integer

obj

number

• Sub-types for type number are listed below.

  0

  rational number

  1

  floating double (double precision floating point number)

  2

  algebraic number over rational number field

  3

  arbitrary precision floating point number (bigfloat)

  4

  complex number

  5

  element of a finite field

  6

  element of a large finite prime field

  7

  element of a finite field of characteristic 2

• When arithmetic operations for numbers are performed, type coercion will be taken if their number sub-types are different so that the object having smaller sub-type number will be transformed to match the other object, except for algebraic numbers.
• A number object created by newalg(x^2+1) and the unit of imaginary number @i have different number sub-types, and it is treated independently.
• See section Algebraic numbers for algebraic numbers.

[0] [10/37,ntype(10/37)];
[10/37,0]
[1] [10.0/37.0,ntype(10.0/37.0)];
[0.27027,1]
[2] [newalg(x^2+1)+1,ntype(newalg(x^2+1)+1)];
[(#0+1),2]
[3] [eval(sin(@pi/6)),ntype(eval(sin(@pi/6)))];
[0.49999999999999999991,3]
[4] [@i+1,ntype(@i+1)];
[(1+1*@i),4]

References

section type.

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