数学函数(Mathematical functions)
三角函数
| method | description |
|---|---|
| sin(x, /[, out, where, casting, order, …]) | 正弦函数, element-wise. |
| cos(x, /[, out, where, casting, order, …]) | 余弦函数 element-wise. |
| tan(x, /[, out, where, casting, order, …]) | 正切函数, element-wise. |
| arcsin(x, /[, out, where, casting, order, …]) | 反正弦函数, element-wise. |
| arccos(x, /[, out, where, casting, order, …]) | 反余弦函数, element-wise. |
| arctan(x, /[, out, where, casting, order, …]) | 反正切函数, element-wise. |
| hypot(x1, x2, /[, out, where, casting, …]) | 传入直角三角形的“直角边”，返回其斜边。 |
| arctan2(x1, x2, /[, out, where, casting, …]) | x1 / x2的 Element-wise 反正切线正确选择象限。 |
| degrees(x, /[, out, where, casting, order, …]) | 将角度从弧度转换为度。 |
| radians(x, /[, out, where, casting, order, …]) | 将角度从度转换为弧度。 |
| unwrap(p[, discont, axis]) | 通过将值之间的增量更改为2 * pi来展开。 |
| deg2rad(x, /[, out, where, casting, order, …]) | 将角度从度转换为弧度。 |
| rad2deg(x, /[, out, where, casting, order, …]) | 将角度从弧度转换为度。 |
双曲函数
| method | description |
|---|---|
| sinh(x, /[, out, where, casting, order, …]) | 双曲正弦, element-wise. |
| cosh(x, /[, out, where, casting, order, …]) | 双曲余弦, element-wise. |
| tanh(x, /[, out, where, casting, order, …]) | 计算双曲正切 element-wise. |
| arcsinh(x, /[, out, where, casting, order, …]) | 反双曲正弦 element-wise. |
| arccosh(x, /[, out, where, casting, order, …]) | 反双曲余弦, element-wise. |
| arctanh(x, /[, out, where, casting, order, …]) | 反双曲正切 element-wise. |
四舍五入
| method | description |
|---|---|
| around(a[, decimals, out]) | 平均舍入到给定的小数位数。 |
| round_(a[, decimals, out]) | 将数组舍入到给定的小数位数。 |
| rint(x, /[, out, where, casting, order, …]) | 将数组的元素四舍五入到最接近的整数。 |
| fix(x[, out]) | 四舍五入为零。 |
| floor(x, /[, out, where, casting, order, …]) | 返回输入的底限, element-wise. |
| ceil(x, /[, out, where, casting, order, …]) | 返回输入的上限, element-wise. |
| trunc(x, /[, out, where, casting, order, …]) | 返回输入的截断值, element-wise. |
加法函数, 乘法函数, 减法函数
| method | description |
|---|---|
| prod(a[, axis, dtype, out, keepdims, …]) | 返回给定轴上数组元素的乘积。 |
| sum(a[, axis, dtype, out, keepdims, …]) | 给定轴上的数组元素的总和。 |
| nanprod(a[, axis, dtype, out, keepdims]) | 返回数组元素在给定轴上的乘积，将非数字（NaNs）视为一个。 |
| nansum(a[, axis, dtype, out, keepdims]) | 返回给定轴上的数组元素的总和，将非数字（NaNs）视为零。 |
| cumprod(a[, axis, dtype, out]) | 返回沿给定轴的元素的累加乘积。 |
| cumsum(a[, axis, dtype, out]) | 返回沿给定轴的元素的累加和。 |
| nancumprod(a[, axis, dtype, out]) | 返回数组元素在给定轴上的累积乘积，将非数字（NaNs）视为一个。 |
| nancumsum(a[, axis, dtype, out]) | 返回在给定轴上将非数字（NaNs）视为零的数组元素的累积总和。 |
| diff(a[, n, axis, prepend, append]) | 计算沿给定轴的第n个离散差。 |
| ediff1d(ary[, to_end, to_begin]) | 数组的连续元素之间的差值。 |
| gradient(f, *varargs, **kwargs) | 返回N维数组的梯度。 |
| cross(a, b[, axisa, axisb, axisc, axis]) | 返回两个（数组）向量的叉积。 |
| trapz(y[, x, dx, axis]) | 使用复合梯形规则沿给定轴积分。 |
指数和对数
| method | description |
|---|---|
| exp(x, /[, out, where, casting, order, …]) | 计算输入数组中所有元素的指数。 |
| expm1(x, /[, out, where, casting, order, …]) | 为数组中的所有元素计算exp（x）-1。 |
| exp2(x, /[, out, where, casting, order, …]) | 为输入数组中的所有p计算2 ** p。 |
| log(x, /[, out, where, casting, order, …]) | 自然对数, element-wise. |
| log10(x, /[, out, where, casting, order, …]) | 返回输入数组的以10为底的对数, element-wise. |
| log2(x, /[, out, where, casting, order, …]) | x的以2为底的对数。 |
| log1p(x, /[, out, where, casting, order, …]) | 返回元素加一个输入数组的自然对数。 |
| logaddexp(x1, x2, /[, out, where, casting, …]) | 输入取幂之和的对数。 |
| logaddexp2(x1, x2, /[, out, where, casting, …]) | 以2为底的输入的幂和的对数。 |
其他特殊函数
| method | description |
|---|---|
| i0(x) | 第一种修改的Bessel函数，阶数为0。 |
| sinc(x) | 返回sinc函数。 |
浮点例程
| method | description |
|---|---|
| signbit(x, /[, out, where, casting, order, …]) | 在设置了符号位（小于零）的情况下返回 element-wise True。 |
| copysign(x1, x2, /[, out, where, casting, …]) | 将x1的符号更改为x2的符号, element-wise. |
| frexp(x[, out1, out2], / [[, out, where, …]) | 将x的元素分解为尾数和二进制指数。 |
| ldexp(x1, x2, /[, out, where, casting, …]) | 返回x1 * 2 ** x2, element-wise. |
| nextafter(x1, x2, /[, out, where, casting, …]) | 向x2返回x1之后的下一个浮点值, element-wise. |
| spacing(x, /[, out, where, casting, order, …]) | 返回x与最近的相邻数字之间的距离。 |
理性例程
| method | description |
|---|---|
| lcm(x1, x2, /[, out, where, casting, order, …]) | 返回1和x2的最小公倍数 |
| gcd(x1, x2, /[, out, where, casting, order, …]) | 返回x1和x2的最大公约数 |
算术运算
| method | description |
|---|---|
| add(x1, x2, /[, out, where, casting, order, …]) | 按元素添加参数。 |
| reciprocal(x, /[, out, where, casting, …]) | 以元素为单位返回参数的倒数。 |
| positive(x, /[, out, where, casting, order, …]) | 数值正, element-wise. |
| negative(x, /[, out, where, casting, order, …]) | 数值负数, element-wise. |
| multiply(x1, x2, /[, out, where, casting, …]) | 逐个乘以参数。 |
| divide(x1, x2, /[, out, where, casting, …]) | 返回输入的真实除法, element-wise. |
| power(x1, x2, /[, out, where, casting, …]) | 第一阵列元素从第二阵列提升为幂, element-wise. |
| subtract(x1, x2, /[, out, where, casting, …]) | 逐个元素地减去参数。 |
| true_divide(x1, x2, /[, out, where, …]) | 返回输入的真实除法, element-wise. |
| floor_divide(x1, x2, /[, out, where, …]) | 返回小于或等于输入的除法的最大整数。 |
| float_power(x1, x2, /[, out, where, …]) | 第一阵列元素从第二阵列提升为幂, element-wise. |
| fmod(x1, x2, /[, out, where, casting, …]) | 返回元素的除法 remainder。 |
| mod(x1, x2, /[, out, where, casting, order, …]) | 返回元素的除法余数。 |
| modf(x[, out1, out2], / [[, out, where, …]) | 返回数组的分数和整数部分, element-wise. |
| remainder(x1, x2, /[, out, where, casting, …]) | 返回元素的除法余数。 |
| divmod(x1, x2[, out1, out2], / [[, out, …]) | 同时返回按元素商和余数。 |
处理复数
| method | description |
|---|---|
| angle(z[, deg]) | 返回复杂参数的角度。 |
| real(val) | 返回复杂参数的实部。 |
| imag(val) | 返回复杂参数的虚部。 |
| conj(x, /[, out, where, casting, order, …]) | 返回 complex conjugate, element-wise. |
| conjugate(x, /[, out, where, casting, …]) | 返回复共轭, element-wise. |
杂项
| method | description |
|---|---|
| convolve(a, v[, mode]) | 返回两个一维序列的离散线性卷积。 |
| clip(a, a_min, a_max[, out]) | 裁剪（限制）数组中的值。 |
| sqrt(x, /[, out, where, casting, order, …]) | 返回数组的非负 平方根, element-wise. |
| cbrt(x, /[, out, where, casting, order, …]) | 返回数组的立方根, element-wise. |
| square(x, /[, out, where, casting, order, …]) | 返回输入的元素方平方。 |
| absolute(x, /[, out, where, casting, order, …]) | 计算绝对值 element-wise. |
| fabs(x, /[, out, where, casting, order, …]) | 计算绝对值 element-wise. |
| sign(x, /[, out, where, casting, order, …]) | 返回数字符号的逐元素指示。 |
| heaviside(x1, x2, /[, out, where, casting, …]) | 计算Heaviside阶跃函数。 |
| maximum(x1, x2, /[, out, where, casting, …]) | 数组元素的逐元素最大值。 |
| minimum(x1, x2, /[, out, where, casting, …]) | 数组元素的按元素最小值。 |
| fmax(x1, x2, /[, out, where, casting, …]) | 数组元素的逐元素最大值。 |
| fmin(x1, x2, /[, out, where, casting, …]) | 数组元素的按元素最小值。 |
| nan_to_num(x[, copy, nan, posinf, neginf]) | 用较大的有限数字（默认行为）或使用用户定义的nan，posinf和/或neginf关键字定义的数字将NaN替换为零和无穷大。 |
| real_if_close(a[, tol]) | 如果复杂输入接近实数，则返回复杂数组。 |
| interp(x, xp, fp[, left, right, period]) | 一维线性插值。 |