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doc/eval: sort functions by name
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Stefano Sabatini
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doc/eval.texi
228
doc/eval.texi
@ -20,122 +20,51 @@ The following unary operators are available: @code{+}, @code{-}.
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The following functions are available:
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@table @option
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@item sinh(x)
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Compute hyperbolic sine of @var{x}.
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@item cosh(x)
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Compute hyperbolic cosine of @var{x}.
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@item tanh(x)
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Compute hyperbolic tangent of @var{x}.
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@item sin(x)
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Compute sine of @var{x}.
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@item cos(x)
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Compute cosine of @var{x}.
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@item tan(x)
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Compute tangent of @var{x}.
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@item atan(x)
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Compute arctangent of @var{x}.
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@item asin(x)
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Compute arcsine of @var{x}.
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@item abs(x)
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Compute absolute value of @var{x}.
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@item acos(x)
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Compute arccosine of @var{x}.
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@item exp(x)
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Compute exponential of @var{x} (with base @code{e}, the Euler's number).
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@item asin(x)
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Compute arcsine of @var{x}.
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@item log(x)
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Compute natural logarithm of @var{x}.
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@item abs(x)
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Compute absolute value of @var{x}.
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@item squish(x)
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Compute expression @code{1/(1 + exp(4*x))}.
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@item gauss(x)
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Compute Gauss function of @var{x}, corresponding to
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@code{exp(-x*x/2) / sqrt(2*PI)}.
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@item isinf(x)
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Return 1.0 if @var{x} is +/-INFINITY, 0.0 otherwise.
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@item isnan(x)
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Return 1.0 if @var{x} is NAN, 0.0 otherwise.
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@item mod(x, y)
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Compute the remainder of division of @var{x} by @var{y}.
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@item max(x, y)
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Return the maximum between @var{x} and @var{y}.
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@item min(x, y)
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Return the maximum between @var{x} and @var{y}.
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@item eq(x, y)
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Return 1 if @var{x} and @var{y} are equivalent, 0 otherwise.
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@item gte(x, y)
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Return 1 if @var{x} is greater than or equal to @var{y}, 0 otherwise.
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@item gt(x, y)
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Return 1 if @var{x} is greater than @var{y}, 0 otherwise.
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@item lte(x, y)
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Return 1 if @var{x} is lesser than or equal to @var{y}, 0 otherwise.
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@item lt(x, y)
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Return 1 if @var{x} is lesser than @var{y}, 0 otherwise.
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@item st(var, expr)
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Allow to store the value of the expression @var{expr} in an internal
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variable. @var{var} specifies the number of the variable where to
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store the value, and it is a value ranging from 0 to 9. The function
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returns the value stored in the internal variable.
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Note, Variables are currently not shared between expressions.
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@item ld(var)
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Allow to load the value of the internal variable with number
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@var{var}, which was previously stored with st(@var{var}, @var{expr}).
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The function returns the loaded value.
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@item while(cond, expr)
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Evaluate expression @var{expr} while the expression @var{cond} is
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non-zero, and returns the value of the last @var{expr} evaluation, or
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NAN if @var{cond} was always false.
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@item atan(x)
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Compute arctangent of @var{x}.
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@item ceil(expr)
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Round the value of expression @var{expr} upwards to the nearest
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integer. For example, "ceil(1.5)" is "2.0".
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@item cos(x)
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Compute cosine of @var{x}.
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@item cosh(x)
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Compute hyperbolic cosine of @var{x}.
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@item eq(x, y)
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Return 1 if @var{x} and @var{y} are equivalent, 0 otherwise.
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@item exp(x)
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Compute exponential of @var{x} (with base @code{e}, the Euler's number).
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@item floor(expr)
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Round the value of expression @var{expr} downwards to the nearest
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integer. For example, "floor(-1.5)" is "-2.0".
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@item trunc(expr)
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Round the value of expression @var{expr} towards zero to the nearest
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integer. For example, "trunc(-1.5)" is "-1.0".
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@item gauss(x)
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Compute Gauss function of @var{x}, corresponding to
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@code{exp(-x*x/2) / sqrt(2*PI)}.
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@item sqrt(expr)
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Compute the square root of @var{expr}. This is equivalent to
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"(@var{expr})^.5".
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@item gcd(x, y)
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Return the greatest common divisor of @var{x} and @var{y}. If both @var{x} and
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@var{y} are 0 or either or both are less than zero then behavior is undefined.
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@item not(expr)
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Return 1.0 if @var{expr} is zero, 0.0 otherwise.
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@item gt(x, y)
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Return 1 if @var{x} is greater than @var{y}, 0 otherwise.
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@item pow(x, y)
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Compute the power of @var{x} elevated @var{y}, it is equivalent to
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"(@var{x})^(@var{y})".
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@item random(x)
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Return a pseudo random value between 0.0 and 1.0. @var{x} is the index of the
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internal variable which will be used to save the seed/state.
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@item gte(x, y)
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Return 1 if @var{x} is greater than or equal to @var{y}, 0 otherwise.
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@item hypot(x, y)
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This function is similar to the C function with the same name; it returns
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@ -143,10 +72,6 @@ This function is similar to the C function with the same name; it returns
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right triangle with sides of length @var{x} and @var{y}, or the distance of the
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point (@var{x}, @var{y}) from the origin.
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@item gcd(x, y)
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Return the greatest common divisor of @var{x} and @var{y}. If both @var{x} and
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@var{y} are 0 or either or both are less than zero then behavior is undefined.
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@item if(x, y)
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Evaluate @var{x}, and if the result is non-zero return the result of
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the evaluation of @var{y}, return 0 otherwise.
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@ -163,6 +88,85 @@ evaluation of @var{y}, return 0 otherwise.
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Evaluate @var{x}, and if the result is zero return the evaluation
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result of @var{y}, otherwise the evaluation result of @var{z}.
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@item isinf(x)
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Return 1.0 if @var{x} is +/-INFINITY, 0.0 otherwise.
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@item isnan(x)
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Return 1.0 if @var{x} is NAN, 0.0 otherwise.
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@item ld(var)
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Allow to load the value of the internal variable with number
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@var{var}, which was previously stored with st(@var{var}, @var{expr}).
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The function returns the loaded value.
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@item log(x)
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Compute natural logarithm of @var{x}.
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@item lt(x, y)
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Return 1 if @var{x} is lesser than @var{y}, 0 otherwise.
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@item lte(x, y)
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Return 1 if @var{x} is lesser than or equal to @var{y}, 0 otherwise.
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@item max(x, y)
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Return the maximum between @var{x} and @var{y}.
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@item min(x, y)
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Return the maximum between @var{x} and @var{y}.
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@item mod(x, y)
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Compute the remainder of division of @var{x} by @var{y}.
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@item not(expr)
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Return 1.0 if @var{expr} is zero, 0.0 otherwise.
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@item pow(x, y)
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Compute the power of @var{x} elevated @var{y}, it is equivalent to
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"(@var{x})^(@var{y})".
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@item random(x)
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Return a pseudo random value between 0.0 and 1.0. @var{x} is the index of the
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internal variable which will be used to save the seed/state.
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@item root(expr, max)
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Find an input value for which the function represented by @var{expr}
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with argument @var{ld(0)} is 0 in the interval 0..@var{max}.
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The expression in @var{expr} must denote a continuous function or the
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result is undefined.
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@var{ld(0)} is used to represent the function input value, which means
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that the given expression will be evaluated multiple times with
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various input values that the expression can access through
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@code{ld(0)}. When the expression evaluates to 0 then the
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corresponding input value will be returned.
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@item sin(x)
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Compute sine of @var{x}.
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@item sinh(x)
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Compute hyperbolic sine of @var{x}.
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@item sqrt(expr)
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Compute the square root of @var{expr}. This is equivalent to
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"(@var{expr})^.5".
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@item squish(x)
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Compute expression @code{1/(1 + exp(4*x))}.
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@item st(var, expr)
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Allow to store the value of the expression @var{expr} in an internal
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variable. @var{var} specifies the number of the variable where to
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store the value, and it is a value ranging from 0 to 9. The function
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returns the value stored in the internal variable.
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Note, Variables are currently not shared between expressions.
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@item tan(x)
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Compute tangent of @var{x}.
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@item tanh(x)
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Compute hyperbolic tangent of @var{x}.
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@item taylor(expr, x)
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@item taylor(expr, x, id)
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Evaluate a Taylor series at @var{x}, given an expression representing
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@ -181,18 +185,14 @@ Note, when you have the derivatives at y instead of 0,
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@item time(0)
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Return the current (wallclock) time in seconds.
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@item root(expr, max)
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Find an input value for which the function represented by @var{expr}
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with argument @var{ld(0)} is 0 in the interval 0..@var{max}.
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@item trunc(expr)
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Round the value of expression @var{expr} towards zero to the nearest
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integer. For example, "trunc(-1.5)" is "-1.0".
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The expression in @var{expr} must denote a continuous function or the
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result is undefined.
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@var{ld(0)} is used to represent the function input value, which means
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that the given expression will be evaluated multiple times with
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various input values that the expression can access through
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@code{ld(0)}. When the expression evaluates to 0 then the
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corresponding input value will be returned.
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@item while(cond, expr)
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Evaluate expression @var{expr} while the expression @var{cond} is
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non-zero, and returns the value of the last @var{expr} evaluation, or
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NAN if @var{cond} was always false.
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@end table
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The following constants are available:
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