y=square(x) returns the square of the argument for any numeric type.
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y=square(x) returns the square of the argument for any numeric type.
We promise to evaluate x only once. We assume is is acceptable for the result type to be the same as the argument type; if it won't fit caller must cast argument to a wider type first. This is an inline routine which will run as fast as an explicit multiply (x*x) in optimized code, and somewhat faster for complex and conjugate types (5 flops instead of the usual 6).
Squaring a negated number loses the negator at no cost; squaring a conjugate number returns a complex result at no additional cost.
◆ square() [1/19]
| unsigned char SimTK::square |
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unsigned char |
u | ) |
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inline |
◆ square() [2/19]
| unsigned short SimTK::square |
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unsigned short |
u | ) |
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inline |
◆ square() [3/19]
| unsigned int SimTK::square |
( |
unsigned int |
u | ) |
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inline |
◆ square() [4/19]
| unsigned long SimTK::square |
( |
unsigned long |
u | ) |
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inline |
◆ square() [5/19]
| unsigned long long SimTK::square |
( |
unsigned long long |
u | ) |
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inline |
◆ square() [6/19]
| char SimTK::square |
( |
char |
c | ) |
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inline |
◆ square() [7/19]
| signed char SimTK::square |
( |
signed char |
i | ) |
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inline |
◆ square() [8/19]
| short SimTK::square |
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short |
i | ) |
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inline |
◆ square() [9/19]
| int SimTK::square |
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int |
i | ) |
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inline |
◆ square() [10/19]
| long SimTK::square |
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long |
i | ) |
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inline |
◆ square() [11/19]
| long long SimTK::square |
( |
long long |
i | ) |
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inline |
◆ square() [12/19]
| float SimTK::square |
( |
const float & |
x | ) |
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inline |
◆ square() [13/19]
| double SimTK::square |
( |
const double & |
x | ) |
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inline |
◆ square() [14/19]
| float SimTK::square |
( |
const negator< float > & |
x | ) |
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inline |
◆ square() [15/19]
| double SimTK::square |
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const negator< double > & |
x | ) |
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inline |
◆ square() [16/19]
template<class P >
| std::complex<P> SimTK::square |
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const std::complex< P > & |
x | ) |
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inline |
◆ square() [17/19]
template<class P >
| std::complex<P> SimTK::square |
( |
const conjugate< P > & |
x | ) |
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inline |
◆ square() [18/19]
template<class P >
| std::complex<P> SimTK::square |
( |
const negator< std::complex< P > > & |
x | ) |
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inline |
◆ square() [19/19]
1.8.13