U
    DvfU                     @   s   d Z dddddgZddlmZ dd	lmZ d
d Zdd ZdddZd ddZ	dd Z
d!ddZd"ddZd#ddZG dd deZdd Zd$ddZedkrddlZddlZeejdkree  ee j dS )%z%Variation fonts interpolation models.normalizeValuenormalizeLocationsupportScalarpiecewiseLinearMapVariationModel    )noRound   )VariationModelErrorc                 C   s   dd | D S )Nc                 S   s   g | ]}|d k	r|qS N .0lr   r   ;/tmp/pip-unpacked-wheel-qlge9rch/fontTools/varLib/models.py
<listcomp>   s      znonNone.<locals>.<listcomp>r   lstr   r   r   nonNone   s    r   c                 C   s   t dd | D S )Nc                 s   s   | ]}|d kV  qd S r
   r   r   r   r   r   	<genexpr>   s     zallNone.<locals>.<genexpr>allr   r   r   r   allNone   s    r   Nc                    s>   d krt fdd|D S  t  fdd|D S )Nc                 3   s   | ]} |kV  qd S r
   r   r   item)refr   r   r      s     zallEqualTo.<locals>.<genexpr>c                 3   s   | ]} |kV  qd S r
   r   r   )mappedmapperr   r   r      s     r   )r   r   r   r   )r   r   r   r   
allEqualTo   s    r   c                 C   sB   | sdS t | }zt|}W n tk
r2   Y dS X t|||dS )NT)r   )iternextStopIterationr   )r   r   itfirstr   r   r   allEqual   s    r#   c                 C   s(   t | t |kstdd t|| D S )Nc                 S   s   g | ]\}}|r|qS r   r   )r   r   tr   r   r   r   ,   s      zsubList.<locals>.<listcomp>lenAssertionErrorzip)truthr   r   r   r   subList*   s    r*   Fc              
   C   s   |\}}}||  kr|ks@n t d|dd|dd|d|sTtt| ||} | |ksd||krhdS | |k rx||ks| |kr||kr| | ||  S | |kr||ks| |k r||kstd|  d| d| d| d	| | ||  S dS )	zNormalizes value based on a min/default/max triple.

    >>> normalizeValue(400, (100, 400, 900))
    0.0
    >>> normalizeValue(100, (100, 400, 900))
    -1.0
    >>> normalizeValue(650, (100, 400, 900))
    0.5
    z8Invalid axis values, must be minimum, default, maximum: z3.3fz,         zOoops... v=z
, triple=()N)
ValueErrormaxminr'   )vtripleextrapolatelowerdefaultupperr   r   r   r   /   s&    

 c                 C   s<   i }|  D ]*\}}| ||d }t|||d||< q|S )a  Normalizes location based on axis min/default/max values from axes.

    >>> axes = {"wght": (100, 400, 900)}
    >>> normalizeLocation({"wght": 400}, axes)
    {'wght': 0.0}
    >>> normalizeLocation({"wght": 100}, axes)
    {'wght': -1.0}
    >>> normalizeLocation({"wght": 900}, axes)
    {'wght': 1.0}
    >>> normalizeLocation({"wght": 650}, axes)
    {'wght': 0.5}
    >>> normalizeLocation({"wght": 1000}, axes)
    {'wght': 1.0}
    >>> normalizeLocation({"wght": 0}, axes)
    {'wght': -1.0}
    >>> axes = {"wght": (0, 0, 1000)}
    >>> normalizeLocation({"wght": 0}, axes)
    {'wght': 0.0}
    >>> normalizeLocation({"wght": -1}, axes)
    {'wght': 0.0}
    >>> normalizeLocation({"wght": 1000}, axes)
    {'wght': 1.0}
    >>> normalizeLocation({"wght": 500}, axes)
    {'wght': 0.5}
    >>> normalizeLocation({"wght": 1001}, axes)
    {'wght': 1.0}
    >>> axes = {"wght": (0, 1000, 1000)}
    >>> normalizeLocation({"wght": 0}, axes)
    {'wght': -1.0}
    >>> normalizeLocation({"wght": -1}, axes)
    {'wght': -1.0}
    >>> normalizeLocation({"wght": 500}, axes)
    {'wght': -0.5}
    >>> normalizeLocation({"wght": 1000}, axes)
    {'wght': 0.0}
    >>> normalizeLocation({"wght": 1001}, axes)
    {'wght': 0.0}
    r   )r2   )itemsgetr   )locationaxesr2   outtagr1   r0   r   r   r   r   N   s
    'Tc                 C   s  |r|dkrt dd}| D ]\}\}}}	|rp|dkr>q ||ks ||	krPq |dk rb|	dkrbq | |d}
n|| ks|t| | }
|
|krq |rX|| \}}|
|k r||kr||kr||	k r||
|	 ||	  9 }q n||k r||
| ||  9 }q n`||
k rX||	krX||kr8||k r8||
| ||  9 }q n ||k rX||
|	 ||	  9 }q |
|ksl|	|
krvd} q|
|k r||
| ||  9 }q ||
|	 ||	  9 }q |S )a  Returns the scalar multiplier at location, for a master
    with support.  If ot is True, then a peak value of zero
    for support of an axis means "axis does not participate".  That
    is how OpenType Variation Font technology works.

    If extrapolate is True, axisRanges must be a dict that maps axis
    names to (axisMin, axisMax) tuples.

      >>> supportScalar({}, {})
      1.0
      >>> supportScalar({'wght':.2}, {})
      1.0
      >>> supportScalar({'wght':.2}, {'wght':(0,2,3)})
      0.1
      >>> supportScalar({'wght':2.5}, {'wght':(0,2,4)})
      0.75
      >>> supportScalar({'wght':2.5, 'wdth':0}, {'wght':(0,2,4), 'wdth':(-1,0,+1)})
      0.75
      >>> supportScalar({'wght':2.5, 'wdth':.5}, {'wght':(0,2,4), 'wdth':(-1,0,+1)}, ot=False)
      0.375
      >>> supportScalar({'wght':2.5, 'wdth':0}, {'wght':(0,2,4), 'wdth':(-1,0,+1)})
      0.75
      >>> supportScalar({'wght':2.5, 'wdth':.5}, {'wght':(0,2,4), 'wdth':(-1,0,+1)})
      0.75
      >>> supportScalar({'wght':3}, {'wght':(0,1,2)}, extrapolate=True, axisRanges={'wght':(0, 2)})
      -1.0
      >>> supportScalar({'wght':-1}, {'wght':(0,1,2)}, extrapolate=True, axisRanges={'wght':(0, 2)})
      -1.0
      >>> supportScalar({'wght':3}, {'wght':(0,2,2)}, extrapolate=True, axisRanges={'wght':(0, 2)})
      1.5
      >>> supportScalar({'wght':-1}, {'wght':(0,2,2)}, extrapolate=True, axisRanges={'wght':(0, 2)})
      -0.5
    Nz2axisRanges must be passed when extrapolate is Trueg      ?r+   )	TypeErrorr6   r7   r'   )r8   supportZotr2   
axisRangesscalaraxisr3   peakr5   r0   axisMinaxisMaxr   r   r   r   |   sN    "

c                   @   s   e Zd ZdZd'ddZdd Zedd	 Zeg fd
dZdd Z	dd Z
dd Zdd ZedddZedddZdd Zdd Zedd Zedd  Zd!d" Zedd#d$Zedd%d&ZdS )(r   az  Locations must have the base master at the origin (ie. 0).

    If the extrapolate argument is set to True, then values are extrapolated
    outside the axis range.

      >>> from pprint import pprint
      >>> locations = [       {'wght':100},       {'wght':-100},       {'wght':-180},       {'wdth':+.3},       {'wght':+120,'wdth':.3},       {'wght':+120,'wdth':.2},       {},       {'wght':+180,'wdth':.3},       {'wght':+180},       ]
      >>> model = VariationModel(locations, axisOrder=['wght'])
      >>> pprint(model.locations)
      [{},
       {'wght': -100},
       {'wght': -180},
       {'wght': 100},
       {'wght': 180},
       {'wdth': 0.3},
       {'wdth': 0.3, 'wght': 180},
       {'wdth': 0.3, 'wght': 120},
       {'wdth': 0.2, 'wght': 120}]
      >>> pprint(model.deltaWeights)
      [{},
       {0: 1.0},
       {0: 1.0},
       {0: 1.0},
       {0: 1.0},
       {0: 1.0},
       {0: 1.0, 4: 1.0, 5: 1.0},
       {0: 1.0, 3: 0.75, 4: 0.25, 5: 1.0, 6: 0.6666666666666666},
       {0: 1.0,
        3: 0.75,
        4: 0.25,
        5: 0.6666666666666667,
        6: 0.4444444444444445,
        7: 0.6666666666666667}]
    NFc                    s   t tdd  D t  kr&td _|d k	r8|ng _|_|rR nd _dd  D  j jd}t	 |d_
fdd D _ fd	dj
D _  i _d S )
Nc                 s   s   | ]}t t| V  qd S r
   )tuplesortedr6   r   r   r   r   r      s     z*VariationModel.__init__.<locals>.<genexpr>zLocations must be unique.c                 S   s   g | ]}d d |  D qS )c                 S   s   i | ]\}}|d kr||qS r+   r   r   kr0   r   r   r   
<dictcomp>  s       z6VariationModel.__init__.<locals>.<listcomp>.<dictcomp>r6   r   locr   r   r   r     s     z+VariationModel.__init__.<locals>.<listcomp>	axisOrder)keyc                    s   g | ]} j |qS r   	locationsindexr   selfr   r   r     s     c                    s   g | ]}  |qS r   rR   r   rQ   r   r   r     s     )r&   setr	   origLocationsrN   r2   computeAxisRangesr>   getMasterLocationsSortKeyFuncrE   rQ   mappingreverseMapping_computeMasterSupports
_subModels)rT   rQ   rN   r2   ZkeyFuncr   )rQ   rT   r   __init__   s      zVariationModel.__init__c                 C   sb   d|kr| |fS t dd |D }| j|}|dkrTtt|| j| j}|| j|< |t||fS )zReturn a sub-model and the items that are not None.

        The sub-model is necessary for working with the subset
        of items when some are None.

        The sub-model is cached.Nc                 s   s   | ]}|d k	V  qd S r
   r   r   r0   r   r   r   r     s     z-VariationModel.getSubModel.<locals>.<genexpr>)rD   r^   r7   r   r*   rX   rN   )rT   r6   rO   ZsubModelr   r   r   getSubModel  s    
zVariationModel.getSubModelc                 C   sb   i }dd | D }| D ]F}|D ]<}| |d}| |||f\}}t||t||f||< qq|S )Nc                 S   s   h | ]}|  D ]}|qqS r   )keys)r   rL   r@   r   r   r   	<setcomp>$  s     
  z3VariationModel.computeAxisRanges.<locals>.<setcomp>r   )r7   r/   r.   )rQ   r>   ZallAxesrL   r@   valuerB   rC   r   r   r   rY   !  s    z VariationModel.computeAxisRangesc                 C   s   i | krt di }| D ]d}t|dkr*qtt|}|| }||krPdh||< ||| ksntd|||f || | qdd }|||}|S )NzBase master not found.r   r+   z&Value "%s" in axisPoints["%s"] -->  %sc                    s   dd  fdd}|S )Nc                 S   s   | dk rdS | dkrdS dS )Nr   r   r   r0   r   r   r   sign>  s    zJVariationModel.getMasterLocationsSortKeyFunc.<locals>.getKey.<locals>.signc              	      s   t  }fdd  D } fddD }|fddt  D  |t | tfdd|D t|t fdd|D t fdd|D fS )	Nc                    s(   g | ] \}}| kr| | kr|qS r   r   )r   r@   rd   )
axisPointsr   r   r   C  s    z]VariationModel.getMasterLocationsSortKeyFunc.<locals>.getKey.<locals>.key.<locals>.<listcomp>c                    s   g | ]}| kr|qS r   r   r   r@   rL   r   r   r   H  s      c                    s   g | ]}| kr|qS r   r   ri   rM   r   r   r   J  s      c                 3   s$   | ]}| kr  |nd V  qdS )i   NrU   ri   rM   r   r   r   O  s   z\VariationModel.getMasterLocationsSortKeyFunc.<locals>.getKey.<locals>.key.<locals>.<genexpr>c                 3   s   | ]} | V  qd S r
   r   ri   )rL   rg   r   r   r   T  s    c                 3   s   | ]}t  | V  qd S r
   )absri   rj   r   r   r   W  s    )r&   r6   extendrE   rb   rD   )rL   ZrankZonPointAxesZorderedAxesrN   rh   rg   rj   r   rO   A  s*    
zIVariationModel.getMasterLocationsSortKeyFunc.<locals>.getKey.<locals>.keyr   )rh   rN   rO   r   rm   r   getKey=  s    z<VariationModel.getMasterLocationsSortKeyFunc.<locals>.getKey)r	   r&   r   r   r'   add)rQ   rN   rh   rL   r@   rd   rn   retr   r   r   rZ   ,  s$    

!
z,VariationModel.getMasterLocationsSortKeyFuncc                    sj   fdd|D }fdd|D _ dd j D  fdd D _ fddjD _i _|S )Nc                    s   g | ]} | qS r   r   r   idx)master_listr   r   r   d  s     z1VariationModel.reorderMasters.<locals>.<listcomp>c                    s   g | ]} j | qS r   )rX   rq   rS   r   r   r   e  s     c                 S   s   g | ]}d d |  D qS )c                 S   s   i | ]\}}|d kr||qS rF   r   rG   r   r   r   rI   g  s       z<VariationModel.reorderMasters.<locals>.<listcomp>.<dictcomp>rJ   rK   r   r   r   r   f  s    c                    s   g | ]} j |qS r   rP   r   rS   r   r   r   i  s     c                    s   g | ]}  |qS r   rU   r   rV   r   r   r   j  s     )rX   r[   rQ   r\   r^   )rT   rs   r[   Znew_listr   )rQ   rs   rT   r   reorderMastersa  s    zVariationModel.reorderMastersc                 C   s  g | _ |  }t|D ]h\}}t| }|d | D ]8}t| |krPq8d}| D ]D\}\}}	}
|| d |	ks\||| d   k r|
k s\n d} qq\|sq8i }d}| D ]}|| d }||kst|| \}}}
||
 }}||k r|}|| ||  }n ||k r|}|| |
|  }nq||kr>i }|}||kr|||f||< q| D ]\}}|||< q^q8| j | q|   d S )NTr   Fre   )	supports_locationsToRegions	enumeraterW   rb   r6   r'   append_computeDeltaWeights)rT   regionsiregionZlocAxesZprev_regionZrelevantr@   r3   rA   r5   ZbestAxesZ	bestRatiovallocVZnewLowerZnewUpperZratior1   r   r   r   r]   n  sV     
	


z%VariationModel._computeMasterSupportsc                 C   s   | j }i }i }|D ]B}| D ]4\}}t||||||< t||||||< qqg }|D ]R}i }	| D ]6\}
}|dkrd|||
 f|	|
< qn||
 |df|	|
< qn||	 q^|S )Nr   )rQ   r6   r/   r7   r.   rx   )rT   rQ   ZminVZmaxVr   rH   r0   rz   rL   r|   r@   r~   r   r   r   rv     s     z"VariationModel._locationsToRegionsc                 C   s`   g | _ t| jD ]J\}}i }t| jd | D ]\}}t||}|r.|||< q.| j | qd S r
   )deltaWeightsrw   rQ   ru   r   rx   )rT   r{   rL   ZdeltaWeightjr=   r?   r   r   r   ry     s    

z#VariationModel._computeDeltaWeightsroundc          
      C   s   t |t | jkst| j}g }t| jD ]Z\}}|||  }| D ].\}}	|	dkrd||| 8 }qF||| |	 8 }qF||| q*|S )Nr   )r&   r   r'   r\   rw   r6   rx   )
rT   masterValuesr   r[   r:   r{   weightsdeltar   weightr   r   r   	getDeltas  s    zVariationModel.getDeltasc                C   s"   |  |\}}|j||d|jfS )Nr   )ra   r   ru   )rT   r6   r   modelr   r   r   getDeltasAndSupports  s    z#VariationModel.getDeltasAndSupportsc                    s    fddj D S )zReturn scalars for each delta, for the given location.
        If interpolating many master-values at the same location,
        this function allows speed up by fetching the scalars once
        and using them with interpolateFromMastersAndScalars().c                    s    g | ]}t  |jjd qS ))r2   r>   )r   r2   r>   )r   r=   rL   rT   r   r   r     s      z-VariationModel.getScalars.<locals>.<listcomp>)ru   )rT   rL   r   r   r   
getScalars  s    zVariationModel.getScalarsc                    sp    | tttjD ]2\}}| D ] \}} |   | | 8  < q,q fddtt D   S )a  Return multipliers for each master, for the given location.
        If interpolating many master-values at the same location,
        this function allows speed up by fetching the scalars once
        and using them with interpolateFromValuesAndScalars().

        Note that the scalars used in interpolateFromMastersAndScalars(),
        are *not* the same as the ones returned here. They are the result
        of getScalars().c                    s   g | ]} j |  qS r   )r[   )r   r{   r:   rT   r   r   r     s     z3VariationModel.getMasterScalars.<locals>.<listcomp>)r   reversedlistrw   r   r6   ranger&   )rT   ZtargetLocationr{   r   r   r   r   r   r   getMasterScalars  s    	
zVariationModel.getMasterScalarsc                 C   sT   d}t | t |kstt| |D ],\}}|s0q"|| }|dkrF|}q"||7 }q"|S )aV  Interpolate from values and scalars coefficients.

        If the values are master-values, then the scalars should be
        fetched from getMasterScalars().

        If the values are deltas, then the scalars should be fetched
        from getScalars(); in which case this is the same as
        interpolateFromDeltasAndScalars().
        Nr%   )valuesscalarsr0   rd   r?   Zcontributionr   r   r   interpolateFromValuesAndScalars  s    
z.VariationModel.interpolateFromValuesAndScalarsc                 C   s   t | |S )z>Interpolate from deltas and scalars fetched from getScalars().)r   r   )deltasr   r   r   r   interpolateFromDeltasAndScalars  s    z.VariationModel.interpolateFromDeltasAndScalarsc                 C   s   |  |}| ||S )z)Interpolate from deltas, at location loc.)r   r   )rT   rL   r   r   r   r   r   interpolateFromDeltas  s    
z$VariationModel.interpolateFromDeltasc                C   s   |  |}| ||S )z0Interpolate from master-values, at location loc.)r   r   )rT   rL   r   r   r   r   r   r   interpolateFromMasters  s    
z%VariationModel.interpolateFromMastersc                C   s   | j ||d}| ||S )zInterpolate from master-values, and scalars fetched from
        getScalars(), which is useful when you want to interpolate
        multiple master-values with the same location.r   )r   r   )rT   r   r   r   r   r   r   r    interpolateFromMastersAndScalars  s    z/VariationModel.interpolateFromMastersAndScalars)NF)__name__
__module____qualname____doc__r_   ra   staticmethodrY   rZ   rt   r]   rv   ry   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r      s,   -


48

c                    s   |  }|s S  |kr |  S t|} |k r@ ||  | S t|} |kr` ||  | S t fdd|D }t fdd|D }|| }|| }|||  |  ||   S )Nc                 3   s   | ]}| k r|V  qd S r
   r   r   rH   rf   r   r   r   1  s      z%piecewiseLinearMap.<locals>.<genexpr>c                 3   s   | ]}| kr|V  qd S r
   r   r   rf   r   r   r   2  s      )rb   r/   r.   )r0   r[   rb   rH   abvaZvbr   rf   r   r   $  s     c           
         s\  ddl m} ddl}|jdtjd}|jdddd	d
 |jdd}|jdddtd |jdddddd |	| } || j
d ddlm} | jrddlm} | }|| j dd |jD }td || |  td dd |jD }|| n4dd ttd td!d" D   fd#d| jD }t|}	td$ ||	j td% ||	j dS )&z*Normalize locations on a given designspacer   )configLoggerNzfonttools varLib.models)descriptionz
--loglevelZLEVELINFOz Logging level (defaults to INFO))metavarr4   helpT)requiredz-dz--designspaceZDESIGNSPACE)r   typez-lz--locationsZLOCATION+zFMaster locations as comma-separate coordinates. One must be all zeros.)r   nargsr   )level)pprint)DesignSpaceDocumentc                 S   s   g | ]
}|j qS r   r8   r   sr   r   r   r   \  s     zmain.<locals>.<listcomp>zOriginal locations:zNormalized locations:c                 S   s   g | ]
}|j qS r   r   r   r   r   r   r   a  s     c                 S   s   g | ]}t |qS r   )chr)r   cr   r   r   r   d  s     AZr   c              	      s*   g | ]"}t t d d |dD qS )c                 s   s   | ]}t |V  qd S r
   )floatr`   r   r   r   r   f  s     z"main.<locals>.<listcomp>.<genexpr>,)dictr(   splitr   r9   r   r   r   e  s    zSorted locations:z	Supports:)Z	fontToolsr   argparseArgumentParsermainr   add_argumentadd_mutually_exclusive_groupstr
parse_argsZloglevelr   ZdesignspaceZfontTools.designspaceLibr   readsourcesprint	normalizer   ordrQ   r   ru   )
argsr   r   parsergroupr   r   docZlocsr   r   r   r   r   8  sX    

 

r   __main__)N)N)F)F)TFN)N)r   __all__ZfontTools.misc.roundToolsr   errorsr	   r   r   r   r#   r*   r   r   r   objectr   r   r   r   doctestsysr&   argvexittestmodfailedr   r   r   r   <module>   s4   



.
Q  Y
8