More documentation for scalar math functions

doc/helpdb.jl

@@ -1503,7 +1503,13 @@ collection[key...] = value
 
 "),
 
-(E"Mathematical Functions",E"",E"rem %",E"rem %
+(E"Mathematical Functions",E"Base",E"rem",E"rem()
+
+ Remainder after division
+
+"),
+
+(E"Mathematical Functions",E"Base",E"%",E"%()
 
  Remainder after division
 
@@ -1830,6 +1836,12 @@ collection[key...] = value
 
 "),
 
+(E"Mathematical Functions",E"Base",E"radians2degrees",E"radians2degrees(x)
+
+ Convert \"x\" from radians to degrees
+
+"),
+
 (E"Mathematical Functions",E"Base",E"hypot",E"hypot(x, y)
 
  Compute the \\sqrt{(x^2+y^2)} without undue overflow or underflow
@@ -1903,6 +1915,12 @@ collection[key...] = value
 
 "),
 
+(E"Mathematical Functions",E"Base",E"square",E"square(x)
+
+ Compute x^2
+
+"),
+
 (E"Mathematical Functions",E"Base",E"round",E"round(x[, digits[, base]]) -> FloatingPoint
 
  \"round(x)\" returns the nearest integer to \"x\". \"round(x,
@@ -2080,6 +2098,13 @@ collection[key...] = value
 
 "),
 
+(E"Mathematical Functions",E"Base",E"reim",E"reim(z)
+
+ Return both the real and imaginary parts of the complex number
+ \"z\"
+
+"),
+
 (E"Mathematical Functions",E"Base",E"conj",E"conj(z)
 
  Compute the complex conjugate of a complex number \"z\"
@@ -2406,6 +2431,14 @@ airyaiprime(x)
 
 "),
 
+(E"Data Formats",E"Base",E"uint",E"uint(x)
+
+ Convert a number or array to the default unsigned integer type on
+ your platform. Alternatively, \"x\" can be a string, which is
+ parsed as an unsigned integer.
+
+"),
+
 (E"Data Formats",E"Base",E"integer",E"integer(x)
 
  Convert a number or array to integer type. If \"x\" is already of
@@ -2420,6 +2453,18 @@ airyaiprime(x)
 
 "),
 
+(E"Data Formats",E"Base",E"signed",E"signed(x)
+
+ Convert a number to a signed integer
+
+"),
+
+(E"Data Formats",E"Base",E"unsigned",E"unsigned(x)
+
+ Convert a number to an unsigned integer
+
+"),
+
 (E"Data Formats",E"Base",E"int8",E"int8(x)
 
  Convert a number or array to \"Int8\" data type
@@ -2500,6 +2545,16 @@ airyaiprime(x)
 
 "),
 
+(E"Data Formats",E"Base",E"significand",E"significand(x)
+
+ Extract the significand(s) (a.k.a. mantissa), in binary
+ representation, of a floating-point number or array.
+
+ For example, \"significand(15.2)/15.2 == 0.125\", and
+ \"significand(15.2)*8 == 15.2\"
+
+"),
+
 (E"Data Formats",E"Base",E"float64_valued",E"float64_valued(x::Rational)
 
  True if \"x\" can be losslessly represented as a \"Float64\" data
@@ -3413,6 +3468,13 @@ airyaiprime(x)
 
 "),
 
+(E"Linear Algebra",E"Base",E"sqrtm",E"sqrtm(A)
+
+ Compute the matrix square root of \"A\". If \"B = sqrtm(A)\", then
+ \"B*B == A\" within roundoff error.
+
+"),
+
 (E"Linear Algebra",E"Base",E"eig",E"eig(A) -> D, V
 
  Compute eigenvalues and eigenvectors of A

doc/stdlib/base.rst

@@ -850,7 +850,11 @@ Mathematical Functions
 
  Modulus after division, returning in the range [0,m)
 
-.. function:: rem %
+.. function:: rem
+
+ Remainder after division
+
+.. function:: %
 
  Remainder after division
 
@@ -1062,6 +1066,10 @@ Mathematical Functions
 
  Convert ``x`` from degrees to radians
 
+.. function:: radians2degrees(x)
+
+ Convert ``x`` from radians to degrees
+
 .. function:: hypot(x, y)
 
  Compute the :math:`\sqrt{(x^2+y^2)}` without undue overflow or underflow
@@ -1111,6 +1119,10 @@ Mathematical Functions
 
  Accurately compute :math:`e^x-1`
 
+.. function:: square(x)
+
+ Compute :math:`x^2`
+
 .. function:: round(x, [digits, [base]]) -> FloatingPoint
 
  ``round(x)`` returns the nearest integer to ``x``. ``round(x, digits)`` rounds to the specified number of digits after the decimal place, or before if negative, e.g., ``round(pi,2)`` is ``3.14``. ``round(x, digits, base)`` rounds using a different base, defaulting to 10, e.g., ``round(pi, 3, 2)`` is ``3.125``.
@@ -1223,6 +1235,10 @@ Mathematical Functions
 
  Return the imaginary part of the complex number ``z``
 
+.. function:: reim(z)
+
+ Return both the real and imaginary parts of the complex number ``z``
+
 .. function:: conj(z)
 
  Compute the complex conjugate of a complex number ``z``
@@ -1431,6 +1447,10 @@ Data Formats
 
  Convert a number or array to the default integer type on your platform. Alternatively, ``x`` can be a string, which is parsed as an integer.
 
+.. function:: uint(x)
+
+ Convert a number or array to the default unsigned integer type on your platform. Alternatively, ``x`` can be a string, which is parsed as an unsigned integer.
+
 .. function:: integer(x)
 
  Convert a number or array to integer type. If ``x`` is already of integer type it is unchanged, otherwise it converts it to the default integer type on your platform.
@@ -1439,6 +1459,14 @@ Data Formats
 
  Test whether a number or array is of integer type
 
+.. function:: signed(x)
+
+ Convert a number to a signed integer
+
+.. function:: unsigned(x)
+
+ Convert a number to an unsigned integer
+
 .. function:: int8(x)
 
  Convert a number or array to ``Int8`` data type
@@ -1491,6 +1519,12 @@ Data Formats
 
  Convert a number, array, or string to a ``FloatingPoint`` data type. For numeric data, the smallest suitable ``FloatingPoint`` type is used. For strings, it converts to ``Float64``.
 
+.. function:: significand(x)
+
+ Extract the significand(s) (a.k.a. mantissa), in binary representation, of a floating-point number or array.
+
+ For example, ``significand(15.2)/15.2 == 0.125``, and ``significand(15.2)*8 == 15.2``
+
 .. function:: float64_valued(x::Rational)
 
  True if ``x`` can be losslessly represented as a ``Float64`` data type
@@ -2077,6 +2111,10 @@ Linear algebra functions in Julia are largely implemented by calling functions f
 
  Perform Q'*A efficiently, where Q is a an orthogonal matrix defined as the product of k elementary reflectors from the QR decomposition.
 
+.. function:: sqrtm(A)
+
+ Compute the matrix square root of ``A``. If ``B = sqrtm(A)``, then ``B*B == A`` within roundoff error.
+
 .. function:: eig(A) -> D, V
 
  Compute eigenvalues and eigenvectors of A