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r � hermvanderr rJ r* r r7 r@ )r r �vr/ �coefr r r �test_hermvander` s zTestVander.test_hermvanderc C sx | j \}}}tj�d�}t�||ddg�}t�|||�}t�||j�}t||� t�|g|gddg�}t |j dk� d S )N)r r& r r )r r( ru ) r r+ r_ r Z hermvander2drN �dot�flatr r rJ )r rQ rR rS rA �vanr2 r3 r r r �test_hermvander2dq s z TestVander.test_hermvander2dc C s� | j \}}}tj�d�}t�|||dddg�}t�||||�}t�||j�}t||� t�|g|g|gdddg�}t |j dk� d S )N)r r& r r r r& )r r( � ) r r+ r_ r Z hermvander3drY rz r{ r r rJ )r rQ rR rS rA r| r2 r3 r r r �test_hermvander3d~ s z TestVander.test_hermvander3dN) r! r" r# r+ r_ r ry r} r r r r r rt \ s rt c @ s e Zd Zdd� ZdS )� TestFittingc C s& dd� }dd� }t ttjdgdgd� t ttjdggdgd� t ttjg dgd� t ttjdgdgggd� t ttjddgdgd� t ttjdgddgd� t ttjdgdgddggd � t ttjdgdgdddgd � t ttjdgdgdg� t ttjdgdgddd g� t ttjdgdgg � t�dd�}||�}t�||d �}tt|�d � t t� ||�|� t�||dddd g�}tt|�d � t t� ||�|� t�||d �}tt|�d � t t� ||�|� t�||dddd d g�}tt|�d � t t� ||�|� t�||dd d ddg�}tt|�d � t t� ||�|� t�|t� ||g�j d �}t |t� ||g�j � t�|t� ||g�j dddd g�}t |t� ||g�j � t� |�}|�� } d|dd d�< d|dd d�< tj|| d |d �} t | |� tj|| dddd g|d �} t | |� tj|t� | | g�j d |d �} t | t� ||g�j � tj|t� | | g�j dddd g|d �} t | t� ||g�j � ddddg}t t�||d�ddg� t t�||ddg�ddg� t�dd�}||�}t�||d �} t t� || �|� t�||ddd g�} t t� || �|� t | | � d S )Nc S s | | d | d S )Nr r r )r r r r �f� s z#TestFitting.test_hermfit.<locals>.fc S s | d | d d S )Nr r r r )r r r r �f2� s z$TestFitting.test_hermfit.<locals>.f2r r r r )�wru r& r r( y �?y � �g �?)r rM r Zhermfitrf r+ rC r r9 r r7 r@ rn Z zeros_like�copy)r r� r� r rK Zcoef3Zcoef4Zcoef2dr� ZywZwcoef3Zwcoef2dZcoef1Zcoef2r r r � test_hermfit� sp " & zTestFitting.test_hermfitN)r! r" r# r� r r r r r� � s r� c @ s$ e Zd Zdd� Zdd� Zdd� ZdS )� TestCompanionc C s" t ttjg � t ttjdg� d S )Nr )r rM r � hermcompanion)r r r r � test_raises� s zTestCompanion.test_raisesc C s@ x:t dd�D ],}dg| dg }tt�|�j||fk� q W d S )Nr r( r )r* r r r� rJ )r r/ rx r r r �test_dimensions� s z TestCompanion.test_dimensionsc C s t t�ddg�d dk� d S )Nr r )r r g п)r r r� )r r r r �test_linear_root� s z TestCompanion.test_linear_rootN)r! r" r# r� r� r� r r r r r� � s r� c @ s e Zd Zdd� ZdS )� TestGaussc C s� t �d�\}}t �|d�}t�|j| |�}dt�|�� � }|d d �d f | | }t|t� d�� t�tj �}t|� � |� d S )Nr' �c r ) r Z hermgaussrv r+ rz rn �sqrtZdiagonalr �eye�pi�sum)r r r� rw �vvZvdr2 r r r �test_100� s zTestGauss.test_100N)r! r" r# r� r r r r r� � s r� c @ sD e Zd Zdd� Zdd� Zdd� Zdd� Zd d � Zd d � Zd d� Z dS )�TestMiscc C s� t �g �}tt|�dg� x�tdd�D ]z}t�t�tj dd| d �dd d� �}t �|�}t � ||�}d}t t |�|d k� tt � |�d d� t||� q&W d S )Nr r( r r r ) r � hermfromrootsr r r* r+ �cosrC r� r7 r r9 ri )r r3 r/ �rootsrk r2 r r r �test_hermfromroots� s * zTestMisc.test_hermfromrootsc C sp t t�dg�g � t t�ddg�dg� xBtdd�D ]4}t�dd|�}t�t�|��}t t|�t|�� q4W d S )Nr g �r r( r )r r Z hermrootsr* r+ rC r� r )r r/ r2 r3 r r r �test_hermroots s zTestMisc.test_hermrootsc C sf ddddg}t ttj|d� tt�|�|d d� � tt�|d�|d d� � tt�|d�dg� d S )Nr r r r r% )r rM r r r )r rx r r r � test_hermtrim s zTestMisc.test_hermtrimc C s t t�dd�ddg� d S )Nr& r r )r r Zhermline)r r r r � test_hermline s zTestMisc.test_hermlinec C s6 x0t d�D ]$}tt�dg| dg �t| � q W d S )NrG r r )r* r r ri rI )r r/ r r r �test_herm2poly s zTestMisc.test_herm2polyc C s6 x0t d�D ]$}tt�t| �dg| dg � q W d S )NrG r r )r* r r rh rI )r r/ r r r �test_poly2herm# s zTestMisc.test_poly2hermc C s6 t �ddd�}t �|d �}t�|�}t||� d S )N���r( � r )r+ rC �expr Z hermweightr )r r r2 r3 r r r � test_weight' s zTestMisc.test_weightN) r! r" r# r� r� r� r� r� r� r� r r r r r� � s r� )'�__doc__� functoolsr �numpyr+ Znumpy.polynomial.hermiteZ polynomialZhermiter Znumpy.polynomial.polynomialr Z numpy.testingr r r r r@ ZH0ZH1ZH2ZH3ZH4ZH5ZH6ZH7ZH8ZH9rI r r r$ rD r` rp rt r� r� r� r� r r r r �<module> s6 B^f(0M
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