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2. Inline function - Wikipedia

   en.wikipedia.org/wiki/Inline_function

   In the C and C++ programming languages, an inline function is one qualified with the keyword inline; this serves two purposes: . It serves as a compiler directive that suggests (but does not require) that the compiler substitute the body of the function inline by performing inline expansion, i.e. by inserting the function code at the address of each function call, thereby saving the overhead ...

3. C mathematical functions - Wikipedia

   en.wikipedia.org/wiki/C_mathematical_functions

   The type-generic macros that correspond to a function that is defined for only real numbers encapsulates a total of 3 different functions: float, double and long double variants of the function. The C++ language includes native support for function overloading and thus does not provide the <tgmath.h> header even as a compatibility feature.

4. atan2 - Wikipedia

   en.wikipedia.org/wiki/Atan2

   atan2(y, x) returns the angle θ between the positive x-axis and the ray from the origin to the point (x, y), confined to (−π, π]. Graph of ⁡ (,) over / In computing and mathematics, the function atan2 is the 2-argument arctangent.

5. Type punning - Wikipedia

   en.wikipedia.org/wiki/Type_punning

   bool is_negative (float x) {union {int i; float d;} my_union; my_union. d = x; return my_union. i < 0;} Accessing my_union.i after most recently writing to the other member, my_union.d , is an allowed form of type-punning in C, [ 6 ] provided that the member read is not larger than the one whose value was set (otherwise the read has unspecified ...

6. Single-precision floating-point format - Wikipedia

   en.wikipedia.org/wiki/Single-precision_floating...

   A floating-point variable can represent a wider range of numbers than a fixed-point variable of the same bit width at the cost of precision. A signed 32-bit integer variable has a maximum value of 2 31 − 1 = 2,147,483,647, whereas an IEEE 754 32-bit base-2 floating-point variable has a maximum value of (2 − 2 −23) × 2 127 ≈ 3.4028235 ...

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9. IEEE 754 - Wikipedia

   en.wikipedia.org/wiki/IEEE_754

   Subnormal numbers ensure that for finite floating-point numbers x and y, x − y = 0 if and only if x = y, as expected, but which did not hold under earlier floating-point representations. [ 43 ] On the design rationale of the x87 80-bit format , Kahan notes: "This Extended format is designed to be used, with negligible loss of speed, for all ...