Python torch.cos方法代码示例

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def __init__(self, height, width, lr = 1, aux_loss = False):
        super(DenseAffine3DGridGen, self).__init__()
        self.height, self.width = height, width
        self.aux_loss = aux_loss
        self.lr = lr

        self.grid = np.zeros( [self.height, self.width, 3], dtype=np.float32)
        self.grid[:,:,0] = np.expand_dims(np.repeat(np.expand_dims(np.arange(-1, 1, 2.0/self.height), 0), repeats = self.width, axis = 0).T, 0)
        self.grid[:,:,1] = np.expand_dims(np.repeat(np.expand_dims(np.arange(-1, 1, 2.0/self.width), 0), repeats = self.height, axis = 0), 0)
        self.grid[:,:,2] = np.ones([self.height, width])
        self.grid = torch.from_numpy(self.grid.astype(np.float32))

        self.theta = self.grid[:,:,0] * np.pi/2 + np.pi/2
        self.phi = self.grid[:,:,1] * np.pi

        self.x = torch.sin(self.theta) * torch.cos(self.phi)
        self.y = torch.sin(self.theta) * torch.sin(self.phi)
        self.z = torch.cos(self.theta)

        self.grid3d = torch.from_numpy(np.zeros( [self.height, self.width, 4], dtype=np.float32))

        self.grid3d[:,:,0] = self.x
        self.grid3d[:,:,1] = self.y
        self.grid3d[:,:,2] = self.z
        self.grid3d[:,:,3] = self.grid[:,:,2] 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def __init__(
            self,
            classes,
            m=0.5,
            s=64,
            easy_margin=True,
            weight=None,
            size_average=None,
            ignore_index=-100,
            reduce=None,
            reduction='mean'):
        super(ArcLoss, self).__init__(weight, size_average, reduce, reduction)
        self.ignore_index = ignore_index
        assert s > 0.
        assert 0 <= m <= (math.pi / 2)
        self.s = s
        self.m = m
        self.cos_m = math.cos(m)
        self.sin_m = math.sin(m)
        self.mm = math.sin(math.pi - m) * m
        self.threshold = math.cos(math.pi - m)
        self.classes = classes
        self.easy_margin = easy_margin 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def _get_body(self, x, target):
        cos_t = torch.gather(x, 1, target.unsqueeze(1))  # cos(theta_yi)
        if self.easy_margin:
            cond = torch.relu(cos_t)
        else:
            cond_v = cos_t - self.threshold
            cond = torch.relu(cond_v)
        cond = cond.bool()
        # Apex would convert FP16 to FP32 here
        # cos(theta_yi + m)
        new_zy = torch.cos(torch.acos(cos_t) + self.m).type(cos_t.dtype)
        if self.easy_margin:
            zy_keep = cos_t
        else:
            zy_keep = cos_t - self.mm  # (cos(theta_yi) - sin(pi - m)*m)
        new_zy = torch.where(cond, new_zy, zy_keep)
        diff = new_zy - cos_t  # cos(theta_yi + m) - cos(theta_yi)
        gt_one_hot = F.one_hot(target, num_classes=self.classes)
        body = gt_one_hot * diff
        return body 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def _feature_window_function(window_type: str,
                             window_size: int,
                             blackman_coeff: float,
                             device: torch.device,
                             dtype: int,
                             ) -> Tensor:
    r"""Returns a window function with the given type and size
    """
    if window_type == HANNING:
        return torch.hann_window(window_size, periodic=False, device=device, dtype=dtype)
    elif window_type == HAMMING:
        return torch.hamming_window(window_size, periodic=False, alpha=0.54, beta=0.46, device=device, dtype=dtype)
    elif window_type == POVEY:
        # like hanning but goes to zero at edges
        return torch.hann_window(window_size, periodic=False, device=device, dtype=dtype).pow(0.85)
    elif window_type == RECTANGULAR:
        return torch.ones(window_size, device=device, dtype=dtype)
    elif window_type == BLACKMAN:
        a = 2 * math.pi / (window_size - 1)
        window_function = torch.arange(window_size, device=device, dtype=dtype)
        # can't use torch.blackman_window as they use different coefficients
        return (blackman_coeff - 0.5 * torch.cos(a * window_function) +
                (0.5 - blackman_coeff) * torch.cos(2 * a * window_function)).to(device=device, dtype=dtype)
    else:
        raise Exception('Invalid window type ' + window_type) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def _create_data_set(self):
        # used to generate the dataset to test on. this is not used in testing (offline procedure)
        test_filepath = common_utils.get_asset_path('kaldi_file.wav')
        sr = 16000
        x = torch.arange(0, 20).float()
        # between [-6,6]
        y = torch.cos(2 * math.pi * x) + 3 * torch.sin(math.pi * x) + 2 * torch.cos(x)
        # between [-2^30, 2^30]
        y = (y / 6 * (1 << 30)).long()
        # clear the last 16 bits because they aren't used anyways
        y = ((y >> 16) << 16).float()
        torchaudio.save(test_filepath, y, sr)
        sound, sample_rate = torchaudio.load(test_filepath, normalization=False)
        print(y >> 16)
        self.assertTrue(sample_rate == sr)
        torch.testing.assert_allclose(y, sound) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def get_sinusoid_encoding_table(n_position, d_hid, padding_idx=None):
    ''' Sinusoid position encoding table '''

    def cal_angle(position, hid_idx):
        return position / np.power(10000, 2 * (hid_idx // 2) / d_hid)

    def get_posi_angle_vec(position):
        return [cal_angle(position, hid_j) for hid_j in range(d_hid)]

    sinusoid_table = np.array([get_posi_angle_vec(pos_i) for pos_i in range(n_position)])

    sinusoid_table[:, 0::2] = np.sin(sinusoid_table[:, 0::2])  # dim 2i
    sinusoid_table[:, 1::2] = np.cos(sinusoid_table[:, 1::2])  # dim 2i+1

    if padding_idx is not None:
        # zero vector for padding dimension
        sinusoid_table[padding_idx] = 0.

    return torch.FloatTensor(sinusoid_table) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def positional_encodings_like(x, t=None):
    if t is None:
        positions = torch.arange(0., x.size(1))
        if x.is_cuda:
            positions = positions.cuda(x.get_device())
    else:
        positions = t
    encodings = torch.zeros(*x.size()[1:])
    if x.is_cuda:
        encodings = encodings.cuda(x.get_device())
    for channel in range(x.size(-1)):
        if channel % 2 == 0:
            encodings[:, channel] = torch.sin(
                positions / 10000 ** (channel / x.size(2)))
        else:
            encodings[:, channel] = torch.cos(
                positions / 10000 ** ((channel - 1) / x.size(2)))
    return Variable(encodings)


# torch.matmul can't do (4, 3, 2) @ (4, 2) -> (4, 3) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def get_embedding(num_embeddings, embedding_dim, padding_idx=None):
        """Build sinusoidal embeddings.

        This matches the implementation in tensor2tensor, but differs slightly
        from the description in Section 3.5 of "Attention Is All You Need".
        """
        half_dim = embedding_dim // 2
        emb = math.log(10000) / (half_dim - 1)
        emb = torch.exp(torch.arange(half_dim, dtype=torch.float) * -emb)
        emb = torch.arange(num_embeddings, dtype=torch.float).unsqueeze(1) * emb.unsqueeze(0)
        emb = torch.cat([torch.sin(emb), torch.cos(emb)], dim=1).view(num_embeddings, -1)
        if embedding_dim % 2 == 1:
            # zero pad
            emb = torch.cat([emb, torch.zeros(num_embeddings, 1)], dim=1)
        if padding_idx is not None:
            emb[padding_idx, :] = 0
        return emb 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def warmup_cosine(x, warmup=0.002):
    if x < warmup:
        return x/warmup
    return 0.5 * (1.0 + torch.cos(math.pi * x)) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def __init__(self, d_model, dropout, max_len=5000):
        super(PositionalEncoding, self).__init__()
        self.dropout = nn.Dropout(p=dropout)

        # Compute the positional encodings once in log space.
        pe = torch.zeros(max_len, d_model)
        position = torch.arange(0, max_len).unsqueeze(1)
        div_term = torch.exp(torch.arange(0, d_model, 2) *
                             -(math.log(10000.0) / d_model))
        pe[:, 0::2] = torch.sin(position * div_term)
        pe[:, 1::2] = torch.cos(position * div_term)
        pe = pe.unsqueeze(0)
        self.register_buffer('pe', pe) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def warmup_cosine(x, warmup=0.002):
    s = 1 if x <= warmup else 0
    return s*(x/warmup) + (1-s)*(0.5 * (1 + torch.cos(math.pi * x))) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def create_dct(
        n_mfcc: int,
        n_mels: int,
        norm: Optional[str]
) -> Tensor:
    r"""Create a DCT transformation matrix with shape (``n_mels``, ``n_mfcc``),
    normalized depending on norm.

    Args:
        n_mfcc (int): Number of mfc coefficients to retain
        n_mels (int): Number of mel filterbanks
        norm (str or None): Norm to use (either 'ortho' or None)

    Returns:
        Tensor: The transformation matrix, to be right-multiplied to
        row-wise data of size (``n_mels``, ``n_mfcc``).
    """
    # http://en.wikipedia.org/wiki/Discrete_cosine_transform#DCT-II
    n = torch.arange(float(n_mels))
    k = torch.arange(float(n_mfcc)).unsqueeze(1)
    dct = torch.cos(math.pi / float(n_mels) * (n + 0.5) * k)  # size (n_mfcc, n_mels)
    if norm is None:
        dct *= 2.0
    else:
        assert norm == "ortho"
        dct[0] *= 1.0 / math.sqrt(2.0)
        dct *= math.sqrt(2.0 / float(n_mels))
    return dct.t() 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def highpass_biquad(
        waveform: Tensor,
        sample_rate: int,
        cutoff_freq: float,
        Q: float = 0.707
) -> Tensor:
    r"""Design biquad highpass filter and perform filtering.  Similar to SoX implementation.

    Args:
        waveform (Tensor): audio waveform of dimension of `(..., time)`
        sample_rate (int): sampling rate of the waveform, e.g. 44100 (Hz)
        cutoff_freq (float): filter cutoff frequency
        Q (float, optional): https://en.wikipedia.org/wiki/Q_factor (Default: ``0.707``)

    Returns:
        Tensor: Waveform dimension of `(..., time)`
    """
    w0 = 2 * math.pi * cutoff_freq / sample_rate
    alpha = math.sin(w0) / 2. / Q

    b0 = (1 + math.cos(w0)) / 2
    b1 = -1 - math.cos(w0)
    b2 = b0
    a0 = 1 + alpha
    a1 = -2 * math.cos(w0)
    a2 = 1 - alpha
    return biquad(waveform, b0, b1, b2, a0, a1, a2) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def lowpass_biquad(
        waveform: Tensor,
        sample_rate: int,
        cutoff_freq: float,
        Q: float = 0.707
) -> Tensor:
    r"""Design biquad lowpass filter and perform filtering.  Similar to SoX implementation.

    Args:
        waveform (torch.Tensor): audio waveform of dimension of `(..., time)`
        sample_rate (int): sampling rate of the waveform, e.g. 44100 (Hz)
        cutoff_freq (float): filter cutoff frequency
        Q (float, optional): https://en.wikipedia.org/wiki/Q_factor (Default: ``0.707``)

    Returns:
        Tensor: Waveform of dimension of `(..., time)`
    """
    w0 = 2 * math.pi * cutoff_freq / sample_rate
    alpha = math.sin(w0) / 2 / Q

    b0 = (1 - math.cos(w0)) / 2
    b1 = 1 - math.cos(w0)
    b2 = b0
    a0 = 1 + alpha
    a1 = -2 * math.cos(w0)
    a2 = 1 - alpha
    return biquad(waveform, b0, b1, b2, a0, a1, a2) 

# 需要导入模块: import torch [as 别名]
# 或者: from torch import cos [as 别名]
def bandpass_biquad(
        waveform: Tensor,
        sample_rate: int,
        central_freq: float,
        Q: float = 0.707,
        const_skirt_gain: bool = False
) -> Tensor:
    r"""Design two-pole band-pass filter.  Similar to SoX implementation.

    Args:
        waveform (Tensor): audio waveform of dimension of `(..., time)`
        sample_rate (int): sampling rate of the waveform, e.g. 44100 (Hz)
        central_freq (float): central frequency (in Hz)
        Q (float, optional): https://en.wikipedia.org/wiki/Q_factor (Default: ``0.707``)
        const_skirt_gain (bool, optional) : If ``True``, uses a constant skirt gain (peak gain = Q).
            If ``False``, uses a constant 0dB peak gain. (Default: ``False``)

    Returns:
        Tensor: Waveform of dimension of `(..., time)`

    References:
        http://sox.sourceforge.net/sox.html
        https://www.w3.org/2011/audio/audio-eq-cookbook.html#APF
    """
    w0 = 2 * math.pi * central_freq / sample_rate
    alpha = math.sin(w0) / 2 / Q

    temp = math.sin(w0) / 2 if const_skirt_gain else alpha
    b0 = temp
    b1 = 0.
    b2 = -temp
    a0 = 1 + alpha
    a1 = -2 * math.cos(w0)
    a2 = 1 - alpha
    return biquad(waveform, b0, b1, b2, a0, a1, a2)