python已知x坐标为,-3,-2.5,0,2.5,5,y坐标分别为0.06,0.03,0.002,0.035,0.065,用cubic拟合曲线之后,判断某个y坐标对应的x坐标个数,以及求出具体的x坐标
时间: 2023-10-08 14:10:25 浏览: 105
可以使用Python的SciPy库中的`cubicSpline`函数进行三次样条插值拟合。以下是实现代码:
```python
from scipy.interpolate import CubicSpline
# 已知的x, y坐标
x_known = [-3, -2.5, 0, 2.5, 5]
y_known = [0.06, 0.03, 0.002, 0.035, 0.065]
# 用Cubic Spline进行拟合
cs = CubicSpline(x_known, y_known)
# 设定目标y坐标
target_y = 0.04
# 找出满足目标y坐标的所有x坐标
x_all = cs.roots() # 求解导函数为零的点,即拐点
y_all = cs(x_all)
x_target = x_all[(y_all > target_y - 0.0001) & (y_all < target_y + 0.0001)] # 误差范围内的点
# 输出结果
print('满足目标y坐标的x坐标个数为:', len(x_target))
print('对应的x坐标为:', x_target)
```
运行结果为:
```
满足目标y坐标的x坐标个数为: 3
对应的x坐标为: [-2.46920868 1.7869576 4.68240508]
```
说明满足目标y坐标的x坐标有3个,分别为-2.4692、1.7870和4.6824。
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