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ä½ç½®ï¼é¦é¡µ > C++ åèæå >æ°å¼åº > std::lerp
std::lerp
| å®ä¹äºå¤´æä»¶ <cmath>
|
||
| constexpr float    lerp( float a, float b, float t ) noexcept; |
(1) | (C++20 èµ·) |
| constexpr double    lerp( double a, double b, double t ) noexcept; |
(2) | (C++20 èµ·) |
| constexpr long double lerp( long double a, long double b, long double t ) noexcept; |
(3) | (C++20 èµ·) |
| constexpr Promoted   lerp( Arithmetic1 a, Arithmetic2 b, Arithmetic3 t ) noexcept; |
(4) | (C++20 èµ·) |
1-3) è®¡ç® a+t(bâa) ï¼å³
a ä¸ b é´åæ°ä¸º t ç线æ§å
æï¼æä¸ºå¤æï¼å½ t è½å¨èå´ [0,1] 夿¶ï¼ã4) ææ 1-3) æä¸è¦ççç®æ¯ç±»ååæ°çéè½½éææ¨¡æ¿ããè¥ä»»ä½åæ°æ¥ææ´æ°ç±»åï¼åå°å®è½¬å为 double ãè¥ä»»ä½å
¶ä»åæ°ä¸º long double ï¼åè¿åç±»å为 long double ï¼å¦å为 double ã
åæ°
| a, b, t | - | æµ®ç¹ææ´æ°ç±»åå¼ |
è¿åå¼
a+t(bâa)
isfinite(a) && isfinite(b) æ¶ï¼ä¿è¯ä¸å屿§ï¼
- è¥
t == 0ï¼åç»æçäºaï¼ - è¥
t == 1ï¼åç»æçäºbï¼ - è¥
t >= 0 && t <= 1ï¼åç»ææéï¼ - è¥
isfinite(t) && a == bï¼åç»æçäºaï¼ - è¥
isfinite(t) || (!isnan(t) && b-a != 0)ï¼åç»æéNaNã
令 CMP(x,y) ä¸ºè¥ x > y å为 1 ï¼è¥ x < y å为 -1 ï¼å¦å为 0 ã对äºä»»ä½ t1 ä¸ t2 ï¼ CMP(lerp(a, b, t2), lerp(a, b, t1)) ã CMP(t2, t1) ä¸ CMP(b, a) ç积éè´ãï¼å³ lerp åè°ãï¼
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| æ¬èæªå®æ åå ï¼ææ ç¤ºä¾ |