1Stdlib.Complex(3)                OCaml library               Stdlib.Complex(3)
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NAME

6       Stdlib.Complex - no description
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Module

9       Module   Stdlib.Complex
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Documentation

12       Module Complex
13        : (module Stdlib__Complex)
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21       type t = {
22        re : float ;
23        im : float ;
24        }
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27       The  type of complex numbers.  re is the real part and im the imaginary
28       part.
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32       val zero : t
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34       The complex number 0 .
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38       val one : t
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40       The complex number 1 .
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44       val i : t
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46       The complex number i .
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50       val neg : t -> t
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52       Unary negation.
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56       val conj : t -> t
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58       Conjugate: given the complex x + i.y , returns x - i.y .
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62       val add : t -> t -> t
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64       Addition
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68       val sub : t -> t -> t
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70       Subtraction
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74       val mul : t -> t -> t
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76       Multiplication
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80       val inv : t -> t
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82       Multiplicative inverse ( 1/z ).
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86       val div : t -> t -> t
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88       Division
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92       val sqrt : t -> t
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94       Square root.  The result x + i.y is such that x > 0 or x = 0 and y >= 0
95       .  This function has a discontinuity along the negative real axis.
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99       val norm2 : t -> float
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101       Norm squared: given x + i.y , returns x^2 + y^2 .
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105       val norm : t -> float
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107       Norm: given x + i.y , returns sqrt(x^2 + y^2) .
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111       val arg : t -> float
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113       Argument.  The argument of a complex number is the angle in the complex
114       plane between the positive real axis and a line  passing  through  zero
115       and  the number.  This angle ranges from -pi to pi .  This function has
116       a discontinuity along the negative real axis.
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120       val polar : float -> float -> t
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123       polar norm arg returns the complex having norm norm and argument arg .
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127       val exp : t -> t
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129       Exponentiation.  exp z returns e to the z power.
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133       val log : t -> t
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135       Natural logarithm (in base e ).
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139       val pow : t -> t -> t
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141       Power function.  pow z1 z2 returns z1 to the z2 power.
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147OCamldoc                          2022-07-22                 Stdlib.Complex(3)