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\usepackage[normalem]{ulem}     % For underlining links
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\usepackage{MnSymbol}           % Symbols
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% Document Info
\author{Alberto Marchetti (cmaster11)}
\pdfinfo{
  /Title (renderscript-math-functions.pdf)
  /Creator (Cheatography)
  /Author (Alberto Marchetti (cmaster11))
  /Subject (RenderScript Math Functions Cheat Sheet)
}

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\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{RenderScript Math Functions Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{Alberto Marchetti (cmaster11)} via \textcolor{DarkBackground}{\uline{cheatography.com/26309/cs/7330/}}}
\end{tabulary}
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\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}Alberto Marchetti (cmaster11) \\
  \uline{cheatography.com/cmaster11} \\
        \uline{\seqsplit{hydex11}.net}
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 12th May, 2016.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
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  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
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\begin{multicols*}{3}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Intrinsic math functions}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{RenderScript provides a lot of intrinsic math functions, which are optimized using NEON instructions (on ARMv7 devices). These functions should be used instead of writing pure calculations when possible. \newline % Row Count 5 (+ 5)
For example, `a * b + c` should be translated into `fma(a, b, c)`. \newline % Row Count 7 (+ 2)
{\bf{Note: }} functions' arguments are assumed to be of type that matches function's return one. Otherwise, different type is specified.% Row Count 10 (+ 3)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Following functions have been taken directly from \{\{link="https://android.googlesource.com/platform/frameworks/rs/+/marshmallow-mr1-release/api/rs\_math.spec"\}\}Android source code\{\{/link\}\}.}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Float functions (part 1)}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Definition}} & {\bf{Description}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
`acos(v)` & Inverse cosine \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
`acosh(v)` & Inverse hyperbolic cosine \tn 
% Row Count 4 (+ 2)
% Row 3
\SetRowColor{white}
`acospi(v)` & Inverse cosine divided by pi \tn 
% Row Count 6 (+ 2)
% Row 4
\SetRowColor{LightBackground}
`asin(v)` & Inverse sine \tn 
% Row Count 7 (+ 1)
% Row 5
\SetRowColor{white}
`asinh(v)` & Inverse hyperbolic sine \tn 
% Row Count 8 (+ 1)
% Row 6
\SetRowColor{LightBackground}
`asinpi(v)` & Inverse sine divided by pi \tn 
% Row Count 10 (+ 2)
% Row 7
\SetRowColor{white}
`atan(v)` & Inverse tangent \tn 
% Row Count 11 (+ 1)
% Row 8
\SetRowColor{LightBackground}
`atan2(num, den)` & Inverse tangent of a ratio \tn 
% Row Count 13 (+ 2)
% Row 9
\SetRowColor{white}
`atan2pi(num, den)` & Inverse tangent of a ratio, divided by pi \tn 
% Row Count 15 (+ 2)
% Row 10
\SetRowColor{LightBackground}
`atanh(v)` & Inverse hyperbolic tangent \tn 
% Row Count 17 (+ 2)
% Row 11
\SetRowColor{white}
`atanpi(v)` & Inverse tangent divided by pi \tn 
% Row Count 19 (+ 2)
% Row 12
\SetRowColor{LightBackground}
`cbrt(v)` & Cube root \tn 
% Row Count 20 (+ 1)
% Row 13
\SetRowColor{white}
`ceil(v)` & Smallest integer not less than a value \tn 
% Row Count 22 (+ 2)
% Row 14
\SetRowColor{LightBackground}
`clamp(value, min, max)` & Restrain a value to a range \tn 
% Row Count 24 (+ 2)
% Row 15
\SetRowColor{white}
\seqsplit{`copysign(magnitude}, sign)` & Copies the sign of a number to another. `copysign(4.0f, -2.7f)` returns `-4.0f` \tn 
% Row Count 28 (+ 4)
% Row 16
\SetRowColor{LightBackground}
`cos(v)` & Cosine \tn 
% Row Count 29 (+ 1)
% Row 17
\SetRowColor{white}
`cosh(v)` & Hypebolic cosine \tn 
% Row Count 30 (+ 1)
\end{tabularx}
\par\addvspace{1.3em}

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\begin{tabularx}{5.377cm}{x{1.9908 cm} x{2.9862 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Float functions (part 1) (cont)}}  \tn
% Row 18
\SetRowColor{LightBackground}
`cospi(v)` & Cosine of a number multiplied by pi \tn 
% Row Count 2 (+ 2)
% Row 19
\SetRowColor{white}
`degrees(v)` & Converts radians into degrees \tn 
% Row Count 4 (+ 2)
% Row 20
\SetRowColor{LightBackground}
`erf(v)` & Mathematical error function \tn 
% Row Count 6 (+ 2)
% Row 21
\SetRowColor{white}
`erfc(v)` & Mathematical complementary error function \tn 
% Row Count 8 (+ 2)
% Row 22
\SetRowColor{LightBackground}
`exp(v)` & {\emph{e}} raised to a number \tn 
% Row Count 9 (+ 1)
% Row 23
\SetRowColor{white}
`exp10(v)` & 10 raised to a number \tn 
% Row Count 10 (+ 1)
% Row 24
\SetRowColor{LightBackground}
`exp2(v)` & 2 raised to a number \tn 
% Row Count 11 (+ 1)
% Row 25
\SetRowColor{white}
`expm1(v)` & {\emph{e}} raised to a number minus one: `(e \textasciicircum{} v) - 1` \tn 
% Row Count 13 (+ 2)
% Row 26
\SetRowColor{LightBackground}
`fabs(v)` & Absolute value of a float \tn 
% Row Count 15 (+ 2)
% Row 27
\SetRowColor{white}
`fdim(a, b)` & Positive difference between two values. If `a \textgreater{} b`, returns `(a - b)` otherwise returns `0f` \tn 
% Row Count 19 (+ 4)
% Row 28
\SetRowColor{LightBackground}
`floor(v)` & Smallest integer not greater than a value/ `(multiplicand1 * multiplicand2) + offset` \tn 
% Row Count 23 (+ 4)
% Row 29
\SetRowColor{white}
`fma(mul1, mul2, offset)` & Multiply and add \tn 
% Row Count 25 (+ 2)
% Row 30
\SetRowColor{LightBackground}
`fmax(a, b)` & Maximum of two floats \tn 
% Row Count 26 (+ 1)
% Row 31
\SetRowColor{white}
`fmin(a, b)` & Minimum of two floats \tn 
% Row Count 27 (+ 1)
% Row 32
\SetRowColor{LightBackground}
`fmod(num, den)` & Modulo \tn 
% Row Count 28 (+ 1)
% Row 33
\SetRowColor{white}
`fract(v, float* floor)` & Positive fractional part. `fract(2.3f, \&val)` returns `0.3f` and sets val to `2.f` \tn 
% Row Count 32 (+ 4)
\end{tabularx}
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Float functions (part 1) (cont)}}  \tn
% Row 34
\SetRowColor{LightBackground}
`frexp(v, int* exponent)` & Binary mantissa and exponent \tn 
% Row Count 2 (+ 2)
% Row 35
\SetRowColor{white}
`half\_recip(v)` & Reciprocal computed to 16 bit precision \tn 
% Row Count 4 (+ 2)
% Row 36
\SetRowColor{LightBackground}
`half\_rsqrt(v)` & Reciprocal of a square root computed to 16 bit precision \tn 
% Row Count 7 (+ 3)
% Row 37
\SetRowColor{white}
`half\_sqrt(v)` & Square root computed to 16 bit precision \tn 
% Row Count 9 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
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\begin{tabularx}{5.377cm}{x{0.96117 cm} x{1.46464 cm} x{2.15119 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{3}{x{5.377cm}}{\bf\textcolor{white}{Predefined constants}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Type}} & {\bf{Name}} & {\bf{Value}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
`float` & `M\_PI` & `3.141592... (pi)` \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
`float` & `M\_PI\_2` & `M\_PI / 2` \tn 
% Row Count 3 (+ 1)
% Row 3
\SetRowColor{white}
`float` & `M\_PI\_4` & `M\_PI / 4` \tn 
% Row Count 4 (+ 1)
% Row 4
\SetRowColor{LightBackground}
`float` & `M\_1\_PI` & `1 / M\_PI` \tn 
% Row Count 5 (+ 1)
% Row 5
\SetRowColor{white}
`float` & `M\_2\_PI` & `2 / M\_PI` \tn 
% Row Count 6 (+ 1)
% Row 6
\SetRowColor{LightBackground}
`float` & \seqsplit{`M\_2\_SQRTPI`} & `2 / sqrt(M\_PI)` \tn 
% Row Count 7 (+ 1)
% Row 7
\SetRowColor{white}
`float` & `M\_SQRT2` & `sqrt(2)` \tn 
% Row Count 8 (+ 1)
% Row 8
\SetRowColor{LightBackground}
`float` & `M\_E` & `2.718281... (e)` \tn 
% Row Count 9 (+ 1)
% Row 9
\SetRowColor{white}
`float` & `M\_LN10` & `log\_e(10)` \tn 
% Row Count 10 (+ 1)
% Row 10
\SetRowColor{LightBackground}
`float` & `M\_LN2` & `log\_e(2)` \tn 
% Row Count 11 (+ 1)
% Row 11
\SetRowColor{white}
`float` & `M\_LOG10E` & `log\_10(M\_E)` \tn 
% Row Count 12 (+ 1)
% Row 12
\SetRowColor{LightBackground}
`float` & `M\_LOG2E` & `log\_2(M\_E)` \tn 
% Row Count 13 (+ 1)
% Row 13
\SetRowColor{white}
`float` & `M\_SQRT1\_2` & `1 / sqrt(2)` \tn 
% Row Count 14 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}---}
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\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Float functions (part 2)}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Definition}} & {\bf{Description}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
`hypot(a, b)` & Hypotenuse \tn 
% Row Count 2 (+ 1)
% Row 2
\SetRowColor{LightBackground}
`ldexp(mantissa, int exponent)` & Creates a floating point from mantissa and exponent. `mantissa * 2 \textasciicircum{} exponent` \tn 
% Row Count 6 (+ 4)
% Row 3
\SetRowColor{white}
`lgamma(v)` & Natural logarithm of the gamma function \tn 
% Row Count 8 (+ 2)
% Row 4
\SetRowColor{LightBackground}
`lgamma(v, int* \seqsplit{sign\_of\_gamma)`} & Natural logarithm of the gamma function. If `sign\_of\_gamma` is not null, `*sign\_of\_gamma` will be set to `-1.f` if the gamma of `v` is negative, otherwise to `1.f` \tn 
% Row Count 16 (+ 8)
% Row 5
\SetRowColor{white}
`log(v)` & Natural logarithm \tn 
% Row Count 17 (+ 1)
% Row 6
\SetRowColor{LightBackground}
`log10(v)` & Base 10 logarithm \tn 
% Row Count 18 (+ 1)
% Row 7
\SetRowColor{white}
`log1p(v)` & Natural logarithm of a value plus 1 \tn 
% Row Count 20 (+ 2)
% Row 8
\SetRowColor{LightBackground}
`log2(v)` & Base 2 logarithm \tn 
% Row Count 21 (+ 1)
% Row 9
\SetRowColor{white}
`logb(v)` & Base two exponent. `logb(8.5f)` returns `3.f` \tn 
% Row Count 24 (+ 3)
% Row 10
\SetRowColor{LightBackground}
`mad(mul1, mul2, offset)` & Multiply and add \tn 
% Row Count 26 (+ 2)
% Row 11
\SetRowColor{white}
`max(a, b)` & Maximum \tn 
% Row Count 27 (+ 1)
% Row 12
\SetRowColor{LightBackground}
`min(a, b)` & Minimum \tn 
% Row Count 28 (+ 1)
% Row 13
\SetRowColor{white}
`modf(v, float* integral\_part)` & Integral and fractional components. `modf(-3.72f)` will return `0.72f` and `integral\_part` will be set to `-3.f` \tn 
% Row Count 34 (+ 6)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Float functions (part 2) (cont)}}  \tn
% Row 14
\SetRowColor{LightBackground}
`nan(uint v)` & Returns NaN \tn 
% Row Count 1 (+ 1)
% Row 15
\SetRowColor{white}
`nextafter(v, target)` & Next representable floating point number from v towards target \tn 
% Row Count 4 (+ 3)
% Row 16
\SetRowColor{LightBackground}
`pow(base, exp)` & Base raised to an exponent \tn 
% Row Count 6 (+ 2)
% Row 17
\SetRowColor{white}
`pown(base, int expt)` & Base raised to an integer exponent \tn 
% Row Count 8 (+ 2)
% Row 18
\SetRowColor{LightBackground}
`powr(base, exp)` & Positive base raised to an exponent \tn 
% Row Count 10 (+ 2)
% Row 19
\SetRowColor{white}
`radians(v)` & Converts degrees into radians \tn 
% Row Count 12 (+ 2)
% Row 20
\SetRowColor{LightBackground}
`remainder(num, den)` & Remainder of a division \tn 
% Row Count 14 (+ 2)
% Row 21
\SetRowColor{white}
`remquo(num, int* quotient)` & Remainder and quotient of a division \tn 
% Row Count 16 (+ 2)
% Row 22
\SetRowColor{LightBackground}
`rint(v)` & Round to even \tn 
% Row Count 17 (+ 1)
% Row 23
\SetRowColor{white}
`rootn(v, int n)` & Nth root \tn 
% Row Count 18 (+ 1)
% Row 24
\SetRowColor{LightBackground}
`round(v)` & Round away from zero \tn 
% Row Count 19 (+ 1)
% Row 25
\SetRowColor{white}
`rsqrt(v)` & Reciprocal of a square root \tn 
% Row Count 21 (+ 2)
% Row 26
\SetRowColor{LightBackground}
`sign(v)` & Sign of a value \tn 
% Row Count 22 (+ 1)
% Row 27
\SetRowColor{white}
`sin(v)` & Sine \tn 
% Row Count 23 (+ 1)
% Row 28
\SetRowColor{LightBackground}
`sincos(v, float* cos)` & Sine and cosine \tn 
% Row Count 25 (+ 2)
% Row 29
\SetRowColor{white}
`sinh(v)` & Hyperbolic sine \tn 
% Row Count 26 (+ 1)
% Row 30
\SetRowColor{LightBackground}
`sinpi(v)` & Sine of a number multiplied by pi \tn 
% Row Count 28 (+ 2)
% Row 31
\SetRowColor{white}
`sqrt(v)` & Square root \tn 
% Row Count 29 (+ 1)
% Row 32
\SetRowColor{LightBackground}
`step(edge, v)` & Returns `0.f` if `v \textless{} edge`, `1.f` otherwise \tn 
% Row Count 31 (+ 2)
\end{tabularx}
\par\addvspace{1.3em}

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\begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} }
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\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Float functions (part 2) (cont)}}  \tn
% Row 33
\SetRowColor{LightBackground}
`tan(v)` & Tangent \tn 
% Row Count 1 (+ 1)
% Row 34
\SetRowColor{white}
`tanh(v)` & Hyperbolic tangent \tn 
% Row Count 2 (+ 1)
% Row 35
\SetRowColor{LightBackground}
`tanpi(v)` & Tangent of a number multiplied by pi \tn 
% Row Count 4 (+ 2)
% Row 36
\SetRowColor{white}
`tgamma(v)` & Gamma function \tn 
% Row Count 5 (+ 1)
% Row 37
\SetRowColor{LightBackground}
`trunc(v)` & Truncates a floating point \tn 
% Row Count 7 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
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\begin{tabularx}{5.377cm}{x{1.89126 cm} x{3.08574 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Integer functions (return `int`)}}  \tn
% Row 0
\SetRowColor{LightBackground}
{\bf{Definition}} & {\bf{Description}} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
`abs(v)` & Absolute value of an integer \tn 
% Row Count 3 (+ 2)
% Row 2
\SetRowColor{LightBackground}
`clamp(value, min, max)` & Restrain a value to a range ({\emph{min API 19}}) \tn 
% Row Count 5 (+ 2)
% Row 3
\SetRowColor{white}
`clz(value)` & Number of leading 0 bits \tn 
% Row Count 6 (+ 1)
% Row 4
\SetRowColor{LightBackground}
`ilogb(float v)` & Base two exponent \tn 
% Row Count 8 (+ 2)
% Row 5
\SetRowColor{white}
`max(a, b)` & Maximum value of two arguments \tn 
% Row Count 10 (+ 2)
% Row 6
\SetRowColor{LightBackground}
`min(a, b)` & Minimum value of two arguments \tn 
% Row Count 12 (+ 2)
% Row 7
\SetRowColor{white}
`rsRand(max)` & Pseudo-random number \tn 
% Row Count 13 (+ 1)
% Row 8
\SetRowColor{LightBackground}
`rsRand(min, max)` & Pseudo-random number \tn 
% Row Count 15 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Approximate float functions (`API \textgreater{}= 21`)}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{5.377cm}}{Following functions have stricter limits than precise ones. Please refer to \{\{link="https://android.googlesource.com/platform/frameworks/rs/+/marshmallow-mr1-release/api/rs\_math.spec"\}\}specs\{\{/link\}\} to see them.\{\{bb\}\}} \tn 
% Row Count 5 (+ 5)
% Row 1
\SetRowColor{white}
{\bf{Definition}} & {\bf{Description}} \tn 
% Row Count 6 (+ 1)
% Row 2
\SetRowColor{LightBackground}
`native\_log2(v)` & Approximate base 2 logarithm (API 18) \tn 
% Row Count 8 (+ 2)
% Row 3
\SetRowColor{white}
\seqsplit{`native\_powr(base}, exp)` & Approximate positive base raised to an exponent (API 18) \tn 
% Row Count 11 (+ 3)
% Row 4
\SetRowColor{LightBackground}
`native\_acos(v)` & Approximate inverse cosine \tn 
% Row Count 13 (+ 2)
% Row 5
\SetRowColor{white}
\seqsplit{`native\_acosh(v)`} & Approximate inverse hyperbolic cosine \tn 
% Row Count 15 (+ 2)
% Row 6
\SetRowColor{LightBackground}
\seqsplit{`native\_acospi(v)`} & Approximate inverse cosine divided by pi \tn 
% Row Count 17 (+ 2)
% Row 7
\SetRowColor{white}
`native\_asin(v)` & Approximate inverse sine \tn 
% Row Count 19 (+ 2)
% Row 8
\SetRowColor{LightBackground}
\seqsplit{`native\_asinh(v)`} & Approximate inverse hyperbolic sine \tn 
% Row Count 21 (+ 2)
% Row 9
\SetRowColor{white}
\seqsplit{`native\_asinpi(v)`} & Approximate inverse sine divided by pi \tn 
% Row Count 23 (+ 2)
% Row 10
\SetRowColor{LightBackground}
`native\_atan(v)` & Approximate inverse tangent \tn 
% Row Count 25 (+ 2)
% Row 11
\SetRowColor{white}
\seqsplit{`native\_atan2(num}, den)` & Approximate inverse tangent of a ratio \tn 
% Row Count 27 (+ 2)
% Row 12
\SetRowColor{LightBackground}
\seqsplit{`native\_atan2pi(num}, den)` & Approximate inverse tangent of a ratio, divided by pi \tn 
% Row Count 30 (+ 3)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Approximate float functions (`API \textgreater{}= 21`) (cont)}}  \tn
% Row 13
\SetRowColor{LightBackground}
\seqsplit{`native\_atanh(v)`} & Approximate inverse hyperbolic tangent \tn 
% Row Count 2 (+ 2)
% Row 14
\SetRowColor{white}
\seqsplit{`native\_atanpi(v)`} & Approximate inverse tangent divided by pi \tn 
% Row Count 4 (+ 2)
% Row 15
\SetRowColor{LightBackground}
`native\_cbrt(v)` & Approximate cube root \tn 
% Row Count 5 (+ 1)
% Row 16
\SetRowColor{white}
`native\_cos(v)` & Approximate cosine \tn 
% Row Count 6 (+ 1)
% Row 17
\SetRowColor{LightBackground}
`native\_cosh(v)` & Approximate hypebolic cosine \tn 
% Row Count 8 (+ 2)
% Row 18
\SetRowColor{white}
\seqsplit{`native\_cospi(v)`} & Approximate cosine of a number multiplied by pi \tn 
% Row Count 11 (+ 3)
% Row 19
\SetRowColor{LightBackground}
\seqsplit{`native\_divide(left}, right)` & Approximate division \tn 
% Row Count 13 (+ 2)
% Row 20
\SetRowColor{white}
`native\_exp(v)` & Approximate e raised to a number \tn 
% Row Count 15 (+ 2)
% Row 21
\SetRowColor{LightBackground}
\seqsplit{`native\_exp10(v)`} & Approximate 10 raised to a number \tn 
% Row Count 17 (+ 2)
% Row 22
\SetRowColor{white}
`native\_exp2(v)` & Approximate 2 raised to a number \tn 
% Row Count 19 (+ 2)
% Row 23
\SetRowColor{LightBackground}
\seqsplit{`native\_expm1(v)`} & Approximate e raised to a number minus one \tn 
% Row Count 21 (+ 2)
% Row 24
\SetRowColor{white}
`native\_hypot(a, b)` & Approximate hypotenuse \tn 
% Row Count 23 (+ 2)
% Row 25
\SetRowColor{LightBackground}
`native\_log(v)` & Approximate natural logarithm \tn 
% Row Count 25 (+ 2)
% Row 26
\SetRowColor{white}
\seqsplit{`native\_log10(v)`} & Approximate base 10 logarithm \tn 
% Row Count 27 (+ 2)
% Row 27
\SetRowColor{LightBackground}
\seqsplit{`native\_log1p(v)`} & Approximate natural logarithm of a value plus 1 \tn 
% Row Count 30 (+ 3)
\end{tabularx}
\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{x{2.18988 cm} x{2.78712 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Approximate float functions (`API \textgreater{}= 21`) (cont)}}  \tn
% Row 28
\SetRowColor{LightBackground}
\seqsplit{`native\_recip(v)`} & Approximate reciprocal \tn 
% Row Count 1 (+ 1)
% Row 29
\SetRowColor{white}
`native\_rootn(v, int n)` & Approximate nth root \tn 
% Row Count 3 (+ 2)
% Row 30
\SetRowColor{LightBackground}
\seqsplit{`native\_rsqrt(v)`} & Approximate reciprocal of a square root \tn 
% Row Count 5 (+ 2)
% Row 31
\SetRowColor{white}
`native\_sin(v)` & Approximate sine \tn 
% Row Count 6 (+ 1)
% Row 32
\SetRowColor{LightBackground}
\seqsplit{`native\_sincos(v}, float* cos);` & Approximate sine and cosine \tn 
% Row Count 8 (+ 2)
% Row 33
\SetRowColor{white}
`native\_sinh(v)` & Approximate hyperbolic sine \tn 
% Row Count 10 (+ 2)
% Row 34
\SetRowColor{LightBackground}
\seqsplit{`native\_sinpi(v)`} & Approximate sine of a number multiplied by pi \tn 
% Row Count 13 (+ 3)
% Row 35
\SetRowColor{white}
`native\_sqrt(v)` & Approximate square root \tn 
% Row Count 15 (+ 2)
% Row 36
\SetRowColor{LightBackground}
`native\_tan(v)` & Approximate tangent \tn 
% Row Count 16 (+ 1)
% Row 37
\SetRowColor{white}
`native\_tanh(v)` & Approximate hyperbolic tangent \tn 
% Row Count 18 (+ 2)
% Row 38
\SetRowColor{LightBackground}
\seqsplit{`native\_tanpi(v)`} & Approximate tangent of a number multiplied by pi \tn 
% Row Count 21 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}