diff --git a/.gitignore b/.gitignore
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diff --git a/README.md b/README.md
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diff --git a/configs/Easyship-improved.txt b/configs/Easyship-improved.txt
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diff --git a/configs/Easyship.txt b/configs/Easyship.txt
old mode 100644
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diff --git a/configs/bike.txt b/configs/bike.txt
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diff --git a/configs/bike_full.txt b/configs/bike_full.txt
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diff --git a/configs/bike_tot.txt b/configs/bike_tot.txt
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diff --git a/configs/chair.txt b/configs/chair.txt
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diff --git a/configs/chess.txt b/configs/chess.txt
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diff --git a/configs/chess_full.txt b/configs/chess_full.txt
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diff --git a/configs/chess_simple.txt b/configs/chess_simple.txt
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diff --git a/configs/cornell.txt b/configs/cornell.txt
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diff --git a/configs/drums.txt b/configs/drums.txt
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diff --git a/configs/fern.txt b/configs/fern.txt
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diff --git a/configs/ficus.txt b/configs/ficus.txt
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diff --git a/configs/flower.txt b/configs/flower.txt
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diff --git a/configs/fortress.txt b/configs/fortress.txt
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diff --git a/configs/horns.txt b/configs/horns.txt
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diff --git a/configs/hotdog.txt b/configs/hotdog.txt
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diff --git a/configs/leaves.txt b/configs/leaves.txt
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diff --git a/configs/lego.txt b/configs/lego.txt
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diff --git a/configs/materials.txt b/configs/materials.txt
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diff --git a/configs/mic.txt b/configs/mic.txt
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diff --git a/configs/orchids.txt b/configs/orchids.txt
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diff --git a/configs/room.txt b/configs/room.txt
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diff --git a/configs/scannet.txt b/configs/scannet.txt
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diff --git a/configs/ship.txt b/configs/ship.txt
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diff --git a/configs/trex.txt b/configs/trex.txt
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diff --git a/data/camera.npy b/data/camera.npy
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diff --git a/data/furniture/gt/0.mtl b/data/furniture/gt/0.mtl
new file mode 100755
index 0000000..5858f9a
--- /dev/null
+++ b/data/furniture/gt/0.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.010
+Ns 1000.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.090196 0.062745 0.011765
+Ks 0.039216 0.039216 0.039216
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
+d 1.000000
+illum 2
+map_Kd 0.mtl.png
diff --git a/data/furniture/gt/0.mtl.png b/data/furniture/gt/0.mtl.png
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index 0000000..03edd58
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diff --git a/data/furniture/gt/0_bg.png b/data/furniture/gt/0_bg.png
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index 0000000..9fa79de
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diff --git a/data/furniture/gt/0_gt.png b/data/furniture/gt/0_gt.png
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diff --git a/data/furniture/gt/1.mtl b/data/furniture/gt/1.mtl
new file mode 100755
index 0000000..3c3d43b
--- /dev/null
+++ b/data/furniture/gt/1.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.013
+Ns 1000.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.607843 0.482353 0.047059
+Ks 0.282353 0.282353 0.282353
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
+d 1.000000
+illum 2
+map_Kd 1.mtl.png
diff --git a/data/furniture/gt/1.mtl.png b/data/furniture/gt/1.mtl.png
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index 0000000..ab91be8
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diff --git a/data/furniture/gt/2.mtl b/data/furniture/gt/2.mtl
new file mode 100755
index 0000000..21a6795
--- /dev/null
+++ b/data/furniture/gt/2.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.016
+Ns 1000.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.500000 0.500000 0.500000
+Ks 1.000000 1.000000 1.000000
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
+d 1.000000
+illum 2
+map_Kd 2.mtl.png
diff --git a/data/furniture/gt/2.mtl.png b/data/furniture/gt/2.mtl.png
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index 0000000..8293ea9
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diff --git a/data/furniture/gt/3.mtl b/data/furniture/gt/3.mtl
new file mode 100755
index 0000000..9213c02
--- /dev/null
+++ b/data/furniture/gt/3.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.017
+Ns 250.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.500000 0.500000 0.500000
+Ks 0.000000 0.000000 0.000000
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
+d 1.000000
+illum 1
+map_Kd 3.mtl.png
diff --git a/data/furniture/gt/3.mtl.png b/data/furniture/gt/3.mtl.png
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index 0000000..ec02197
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diff --git a/data/furniture/gt/4.mtl b/data/furniture/gt/4.mtl
new file mode 100755
index 0000000..416d639
--- /dev/null
+++ b/data/furniture/gt/4.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.011
+Ns 250.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.709804 0.709804 0.709804
+Ks 0.078431 0.078431 0.078431
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
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+illum 2
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diff --git a/data/furniture/gt/4.mtl.png b/data/furniture/gt/4.mtl.png
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index 0000000..2a3c136
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diff --git a/data/furniture/gt/camera.txt b/data/furniture/gt/camera.txt
new file mode 100755
index 0000000..9973fcb
--- /dev/null
+++ b/data/furniture/gt/camera.txt
@@ -0,0 +1,2 @@
+0.5960689783096313 0.6635787487030029 2.2868263721466064
+1.0122909545898438 4.003929632290237e-09 -1.5707963705062866
diff --git a/data/furniture/init/0.mtl b/data/furniture/init/0.mtl
new file mode 100755
index 0000000..2f1fe6a
--- /dev/null
+++ b/data/furniture/init/0.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd-mod.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.010
+Ns 1000.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.090196 0.062745 0.011765
+Ks 0.039216 0.039216 0.039216
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
+d 1.000000
+illum 2
+map_Kd 0.mtl.png
diff --git a/data/furniture/init/0.mtl.png b/data/furniture/init/0.mtl.png
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index 0000000..03edd58
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diff --git a/data/furniture/init/0_bg.png b/data/furniture/init/0_bg.png
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diff --git a/data/furniture/init/0_gt.png b/data/furniture/init/0_gt.png
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diff --git a/data/furniture/init/1.mtl b/data/furniture/init/1.mtl
new file mode 100755
index 0000000..3a402c5
--- /dev/null
+++ b/data/furniture/init/1.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd-mod.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.013
+Ns 1000.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.607843 0.482353 0.047059
+Ks 0.282353 0.282353 0.282353
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
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+illum 2
+map_Kd 1.mtl.png
diff --git a/data/furniture/init/1.mtl.png b/data/furniture/init/1.mtl.png
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index 0000000..ab91be8
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diff --git a/data/furniture/init/2.mtl b/data/furniture/init/2.mtl
new file mode 100755
index 0000000..fe919ac
--- /dev/null
+++ b/data/furniture/init/2.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd-mod.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.016
+Ns 1000.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.500000 0.500000 0.500000
+Ks 1.000000 1.000000 1.000000
+Ke 0.000000 0.000000 0.000000
+Ni 1.450000
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+illum 2
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diff --git a/data/furniture/init/2.mtl.png b/data/furniture/init/2.mtl.png
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index 0000000..8293ea9
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diff --git a/data/furniture/init/3.mtl b/data/furniture/init/3.mtl
new file mode 100755
index 0000000..7983705
--- /dev/null
+++ b/data/furniture/init/3.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd-mod.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.017
+Ns 250.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.500000 0.500000 0.500000
+Ks 0.000000 0.000000 0.000000
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+illum 1
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diff --git a/data/furniture/init/3.mtl.png b/data/furniture/init/3.mtl.png
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index 0000000..ec02197
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diff --git a/data/furniture/init/4.mtl b/data/furniture/init/4.mtl
new file mode 100755
index 0000000..edbb63f
--- /dev/null
+++ b/data/furniture/init/4.mtl
@@ -0,0 +1,13 @@
+# Blender MTL File: 'd-mod.blend'
+# Material Count: 1
+
+newmtl solid_001_wire.011
+Ns 250.000000
+Ka 1.000000 1.000000 1.000000
+Kd 0.709804 0.709804 0.709804
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diff --git a/data/furniture/init/camera.txt b/data/furniture/init/camera.txt
new file mode 100755
index 0000000..c3ffad5
--- /dev/null
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@@ -0,0 +1,2 @@
+0.5960689783096313 0.6635787487030029 2.2868263721466064
+1.0122909545898438 -0.0 -1.5707963705062866
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diff --git a/demo3-render_specular.py b/demo3-render_specular.py
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diff --git a/demo5-optim_metallic_textures.py b/demo5-optim_metallic_textures.py
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diff --git a/demo6-optim_roughness_textures.py b/demo6-optim_roughness_textures.py
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diff --git a/demo8-drot.py b/demo8-drot.py
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+++ b/demo8-drot.py
@@ -0,0 +1,239 @@
+
+#
+
+
+
+import torch
+import os
+import tqdm
+import numpy as np
+import imageio
+import cv2
+import argparse
+import jrender as jr
+
+import jittor as jt
+
+from jittor import nn
+jt.flags.use_cuda = 1
+
+import time
+if torch.cuda.is_available():
+    device = torch.device("cuda:0")
+    torch.cuda.set_device(device)
+else:
+    device = torch.device("cpu")
+#pip install geomloss[full] pykeops
+from geomloss import SamplesLoss
+
+current_dir = os.path.dirname(os.path.realpath(__file__))
+data_dir = os.path.join(current_dir, 'data')
+
+class SimpleModel(nn.Module):
+    def __init__(self, template_path):
+        super(SimpleModel, self).__init__()
+
+        # set template mesh
+        self.template_mesh = jr.Mesh.from_obj(template_path, dr_type='softras', load_texture=True, texture_res=5, texture_type='surface')
+        self.vertices = self.template_mesh.vertices.stop_grad()
+        self.faces = self.template_mesh.faces.stop_grad()
+        self.textures = self.template_mesh.textures.stop_grad()
+
+        # optimize offset
+        self.displace = jt.zeros((1, 1, 1))+[0.0,0.0,0.4]
+
+    def execute(self, batch_size):
+        vertices = self.vertices+self.displace
+        return jr.Mesh(vertices.repeat(batch_size, 1, 1), self.faces.repeat(batch_size, 1, 1), dr_type='softras', textures = self.textures)
+
+def _axis_angle_rotation(axis: str, angle):
+    """
+    Return the rotation matrices for one of the rotations about an axis
+    of which Euler angles describe, for each value of the angle given.
+
+    Args:
+        axis: Axis label "X" or "Y or "Z".
+        angle: any shape tensor of Euler angles in radians
+
+    Returns:
+        Rotation matrices as tensor of shape (..., 3, 3).
+    """
+    cos = jt.cos(angle)
+    sin = jt.sin(angle)
+    one = jt.ones_like(angle)
+    zero = jt.zeros_like(angle)
+    if axis == "X":
+        R_flat = (one, zero, zero, zero, cos, -sin, zero, sin, cos)
+    elif axis == "Y":
+        R_flat = (cos, zero, sin, zero, one, zero, -sin, zero, cos)
+    elif axis == "Z":
+        R_flat = (cos, -sin, zero, sin, cos, zero, zero, zero, one)
+    else:
+        raise ValueError("letter must be either X, Y or Z.")
+    return jt.stack(R_flat, -1).reshape(angle.shape + (3, 3))
+
+def euler_angles_to_matrix(euler_angles, convention="XYZ"):
+    matrices = [
+        _axis_angle_rotation(c, e)
+        for c, e in zip(convention, jt.unbind(euler_angles, -1))
+    ]
+    return jt.matmul(jt.matmul(matrices[0], matrices[1]), matrices[2])
+
+class Furniture(nn.Module):
+    def __init__(self, template_path):
+        super(Furniture, self).__init__()
+        meshes_path = [os.path.join(template_path,x) for x in os.listdir(template_path) if x.endswith(".obj")]
+        self.meshes = []
+        self.displaces = []
+        self.rotations = []
+        for meshpath in meshes_path:
+            #print(meshpath)
+            mesh = jr.Mesh.from_obj(meshpath, dr_type='softras', load_texture=True, texture_res=10, texture_type='surface')
+            mesh.vertices = mesh.vertices.stop_grad()
+            self.meshes.append(mesh)
+            self.displaces.append(jt.zeros(3))
+            self.rotations.append(jt.zeros(3))
+
+
+    def transform(self, vertices, trans, rot):
+        rot_center = jt.mean(vertices,dim=1,keepdims=True)
+        vertices-=rot_center
+        #rot = jt.array([0,3.1415926/2.0,0])
+        #print(vertices)
+        vertices = jt.matmul(vertices, euler_angles_to_matrix(rot).transpose(0,2,1))
+        #print(vertices)
+        vertices+=rot_center+trans
+        return vertices
+    
+    def execute(self):
+        meshlist = []
+        for (mesh,trans,rot) in zip(self.meshes,self.displaces,self.rotations):
+            trans[1] = 0
+            rot[0] = 0.0
+            rot[2]=0.0
+            #print(trans,rot)
+            new_vert = self.transform(mesh.vertices.clone(), trans, rot)
+            adjust_mesh = jr.Mesh(new_vert, mesh.faces, dr_type='softras', textures = mesh.textures)
+            meshlist.append(adjust_mesh)
+            #print(new_vert)
+        return jr.join_meshes_as_scene(meshlist,include_texture=True)
+
+
+class Matcher():
+    def __init__(self, res, device) -> None:
+        self.loss = SamplesLoss("sinkhorn", blur=0.01)
+        self.device=device
+        self.resolution = res
+        pass
+
+    def match_Sinkhorn(self, haspos, render_point_5d, gt_rgb, view):
+        h,w = render_point_5d.shape[1:3]
+        target_point_5d = torch.zeros((haspos.shape[0], h, w, 5), device=self.device)
+        target_point_5d[..., :3] = torch.clamp(gt_rgb,0,1)
+        target_point_5d[..., 3:] = render_point_5d[...,3:].clone().detach()
+        target_point_5d = target_point_5d.reshape(-1, h*w, 5)
+        render_point_5d_match = render_point_5d.clone().reshape(-1,h*w,5)
+        render_point_5d_match.clamp_(0.0,1.0)
+        pointloss = self.loss(render_point_5d_match, target_point_5d)*self.resolution*self.resolution
+        [g] = torch.autograd.grad(torch.sum(pointloss), [render_point_5d_match])
+        return (render_point_5d-g.reshape(-1,h,w,5)).detach()
+    
+    def match(self, gt_rgb, rgb, point, msk, view=0):
+        render_point_5d = torch.cat([torch.clamp(rgb, 0.0,1.0)[...,:3], point], dim=-1)
+        res = self.match_Sinkhorn(msk, render_point_5d, gt_rgb[...,:3], view)
+        return res
+    
+def main():
+    parser = argparse.ArgumentParser()
+    parser.add_argument('-i', '--filename-input', type=str, 
+        default=os.path.join(data_dir, 'source.npy'))
+    parser.add_argument('-c', '--camera-input', type=str, 
+        default=os.path.join(data_dir, 'camera.npy'))
+    parser.add_argument('-t', '--template-mesh', type=str, 
+        default=os.path.join(data_dir, 'furniture'))
+    parser.add_argument('-o', '--output-dir', type=str, 
+        default=os.path.join(data_dir, 'results/output_drot_furniture'))
+    parser.add_argument('-b', '--batch-size', type=int,
+        default=1)
+    args = parser.parse_args()
+
+    os.makedirs(args.output_dir, exist_ok=True)
+    model = Furniture(os.path.join(args.template_mesh,"gt"))
+    # read training images and camera poses
+
+    res=128
+    sta = time.time()
+    
+    bg_img = cv2.imread(os.path.join(args.template_mesh,"init", "0_bg.png"))
+    bg_img = cv2.resize(bg_img,(res,res))
+    bg_img = cv2.cvtColor(bg_img, cv2.COLOR_BGR2RGB)
+    bg_img = jt.array(bg_img)/255.0
+
+    cam = np.loadtxt(os.path.join(args.template_mesh,"gt","camera.txt")).tolist()
+    pos = jt.array([cam[0][0],cam[0][2],-cam[0][1]])
+    rot = jt.array([cam[1][0],cam[1][2],cam[1][1]])
+
+    up = jt.array([0,-1,0.])
+    rotm = euler_angles_to_matrix(rot,convention="XYZ")[0]
+    dir = jt.matmul(up,rotm)
+    dir[2]*=-1
+
+    mesh = model()
+    renderer = jr.Renderer(image_size=res, background_color=[1.0,1.0,1.0], sigma_val=1e-4, aggr_func_rgb='hard', camera_mode='look', eye = pos, camera_direction = dir, viewing_angle=35, dr_type='DrL', coordinate = "left")
+    images, points_orig, msks_orig = renderer.render_mesh(mesh, mode='rgb')
+    images_gt = jt.array(images)
+    images_gt = images_gt.permute(0,2,3,1)[...,:3]
+
+    images_gt[msks_orig[:,0,...]==0] = bg_img[msks_orig[0,0]==0]
+    image = images_gt[0].numpy()
+    imageio.imsave(os.path.join(args.output_dir, 'gt.jpg'), (255*image[...,:3]).astype(np.uint8))
+
+    #points_orig = (points_orig+1.0)/2.0
+    #pos_vis = np.zeros((res,res,3))
+    #pos_vis[...,:2] = points_orig.numpy().transpose(0, 2, 3, 1)[0]
+    #pos_vis[...,:2] *= msks_orig.numpy().transpose(0, 2, 3, 1)[0]
+    #print(image_gt_torch.shape)
+    #cv2.imwrite("tmp.png",(pos_vis*255).astype(np.uint8))
+    #exit()
+
+    writer = imageio.get_writer(os.path.join(args.output_dir, 'process.gif'), mode='I')
+    image_gt_torch = torch.from_numpy(images_gt.numpy())
+
+    
+    model = Furniture(os.path.join(args.template_mesh,"init")) 
+    optimizer = nn.Adam(model.displaces+model.rotations, 0.02)
+    matcher = Matcher(res,device)
+    loop = tqdm.tqdm(list(range(0, 500)))
+    
+    for i in loop:
+        mesh = model()
+        images_pred, points, msks = renderer.render_mesh(mesh, mode='silhouettes')
+        points = (points+1.0)/2.0
+        images_pred = jt.array(images_pred).permute(0,2,3,1)[...,:3]
+        points = jt.array(points).permute(0,2,3,1)
+        msks = jt.array(msks).permute(0,2,3,1)
+        images_pred[msks[...,0]==0] = bg_img[msks[0,...,0]==0]
+        image_torch = torch.from_numpy(images_pred.data).to(device).requires_grad_()
+        points_torch = torch.from_numpy(points.data).to(device).requires_grad_()
+        msks_torch = torch.from_numpy(msks.data).to(device)
+        
+        match_res = jt.array(matcher.match(image_gt_torch, image_torch, points_torch, msks_torch).cpu().numpy())
+        x = jt.concat([jt.array(images_pred[...,:3]),points], dim=-1)
+        loss = jt.mean((x-match_res)**2)
+            
+        loop.set_description('Loss: %.4f'%(loss.item()))
+        optimizer.step(loss)
+        
+        if i % 10 == 0:
+            image = images_pred.numpy()[0][...,:3]
+            imageio.imsave(os.path.join(args.output_dir, 'deform_%05d.jpg'%i), (255*image).astype(np.uint8))
+            writer.append_data((255*image).astype(np.uint8))
+        
+    writer.close()
+    # save optimized mesh
+    model().save_obj(os.path.join(args.output_dir, 'final.obj'), save_texture=True)
+    print(f"Cost {time.time() - sta} secs.")
+
+
+if __name__ == '__main__':
+    main()
\ No newline at end of file
diff --git a/download_competition_data.sh b/download_competition_data.sh
old mode 100644
new mode 100755
diff --git a/download_example_data.sh b/download_example_data.sh
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diff --git a/jrender/Scene/__init__.py b/jrender/Scene/__init__.py
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diff --git a/jrender/Scene/objects/__init__.py b/jrender/Scene/objects/__init__.py
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diff --git a/jrender/Scene/objects/light.py b/jrender/Scene/objects/light.py
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diff --git a/jrender/Scene/objects/object.py b/jrender/Scene/objects/object.py
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diff --git a/jrender/Scene/objects/utils/BBox.py b/jrender/Scene/objects/utils/BBox.py
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diff --git a/jrender/Scene/objects/utils/__init__.py b/jrender/Scene/objects/utils/__init__.py
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diff --git a/jrender/Scene/objects/utils/create_TBN.py b/jrender/Scene/objects/utils/create_TBN.py
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diff --git a/jrender/Scene/scene.py b/jrender/Scene/scene.py
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diff --git a/jrender/Scene/textures/__init__.py b/jrender/Scene/textures/__init__.py
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diff --git a/jrender/Scene/textures/texture.py b/jrender/Scene/textures/texture.py
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diff --git a/jrender/Scene/textures/utils/__init__.py b/jrender/Scene/textures/utils/__init__.py
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diff --git a/jrender/Scene/textures/utils/sample2D.py b/jrender/Scene/textures/utils/sample2D.py
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diff --git a/jrender/__init__.py b/jrender/__init__.py
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diff --git a/jrender/io/__init__.py b/jrender/io/__init__.py
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diff --git a/jrender/io/load_obj.py b/jrender/io/load_obj.py
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diff --git a/jrender/io/save_obj.py b/jrender/io/save_obj.py
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diff --git a/jrender/io/utils/_load_obj_for_n3mr.py b/jrender/io/utils/_load_obj_for_n3mr.py
old mode 100644
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diff --git a/jrender/io/utils/_load_obj_for_softras.py b/jrender/io/utils/_load_obj_for_softras.py
old mode 100644
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diff --git a/jrender/io/utils/create_texture_image.py b/jrender/io/utils/create_texture_image.py
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diff --git a/jrender/io/utils/load_textures.py b/jrender/io/utils/load_textures.py
old mode 100644
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diff --git a/jrender/loss/__init__.py b/jrender/loss/__init__.py
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diff --git a/jrender/loss/flatten_loss.py b/jrender/loss/flatten_loss.py
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diff --git a/jrender/loss/iou_loss.py b/jrender/loss/iou_loss.py
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diff --git a/jrender/loss/laplacian_loss.py b/jrender/loss/laplacian_loss.py
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diff --git a/jrender/render2/RenderDesc/Desc.py b/jrender/render2/RenderDesc/Desc.py
old mode 100644
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diff --git a/jrender/render2/RenderDesc/MRT.py b/jrender/render2/RenderDesc/MRT.py
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diff --git a/jrender/render2/RenderDesc/__init__.py b/jrender/render2/RenderDesc/__init__.py
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diff --git a/jrender/render2/__init__.py b/jrender/render2/__init__.py
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diff --git a/jrender/render2/render2.py b/jrender/render2/render2.py
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diff --git a/jrender/render2/utils/Cook_Torrance.py b/jrender/render2/utils/Cook_Torrance.py
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diff --git a/jrender/render2/utils/__init__.py b/jrender/render2/utils/__init__.py
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diff --git a/jrender/render2/utils/cuda/FXAA_cuda.py b/jrender/render2/utils/cuda/FXAA_cuda.py
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diff --git a/jrender/render2/utils/cuda/SSAO_cuda.py b/jrender/render2/utils/cuda/SSAO_cuda.py
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diff --git a/jrender/render2/utils/cuda/SSDO_cuda.py b/jrender/render2/utils/cuda/SSDO_cuda.py
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diff --git a/jrender/render2/utils/cuda/SSR_cuda.py b/jrender/render2/utils/cuda/SSR_cuda.py
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diff --git a/jrender/render2/utils/cuda/SSSR_cuda.py b/jrender/render2/utils/cuda/SSSR_cuda.py
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diff --git a/jrender/render2/utils/cuda/VSSM_cuda.py b/jrender/render2/utils/cuda/VSSM_cuda.py
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diff --git a/jrender/render2/utils/cuda/__init__.py b/jrender/render2/utils/cuda/__init__.py
old mode 100644
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diff --git a/jrender/render2/utils/cuda/conv.py b/jrender/render2/utils/cuda/conv.py
old mode 100644
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diff --git a/jrender/render2/utils/get_points_from_angle.py b/jrender/render2/utils/get_points_from_angle.py
old mode 100644
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diff --git a/jrender/renderer/__init__.py b/jrender/renderer/__init__.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/__init__.py b/jrender/renderer/dr/__init__.py
old mode 100644
new mode 100755
index cfa7ab7..d342d44
--- a/jrender/renderer/dr/__init__.py
+++ b/jrender/renderer/dr/__init__.py
@@ -1,2 +1,3 @@
 from .softras import *
-from .n3mr import *
\ No newline at end of file
+from .n3mr import *
+from .dr_l import *
\ No newline at end of file
diff --git a/jrender/renderer/dr/dr_l/DrL_rasterize.py b/jrender/renderer/dr/dr_l/DrL_rasterize.py
new file mode 100755
index 0000000..2999e41
--- /dev/null
+++ b/jrender/renderer/dr/dr_l/DrL_rasterize.py
@@ -0,0 +1,140 @@
+import jittor as jt
+from jittor import nn
+from jittor import Function
+import numpy as np
+from .cuda import DrL_rasterize as soft_rasterize_cuda
+
+class DrL_RasterizeFunction(Function):
+    def __init__(self, image_size=256, 
+                background_color=[0, 0, 0], near=1, far=100, 
+                fill_back=True, eps=1e-3,
+                sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4,
+                gamma_val=1e-4, aggr_func_rgb='hard', aggr_func_alpha='prod',
+                texture_type='surface', bin_size = 0, max_elems_per_bin = 0, max_faces_per_pixel_for_grad = 16):
+
+        self.image_size = image_size
+        self.background_color = background_color
+        self.near = near
+        self.far = far
+        self.eps = eps
+        self.sigma_val = sigma_val
+        self.gamma_val = gamma_val
+        self.dist_func = dist_func
+        self.dist_eps = np.log(1. / dist_eps - 1.)
+        self.aggr_func_rgb = aggr_func_rgb
+        self.aggr_func_alpha = aggr_func_alpha
+        self.fill_back = fill_back
+        self.texture_type = texture_type
+        
+        self.bin_size = bin_size
+        self.max_elems_per_bin = max_elems_per_bin
+        self.max_faces_id = max_faces_per_pixel_for_grad
+
+    def execute(self, face_vertices, textures):
+
+        # face_vertices: [nb, nf, 9]
+        # textures: [nb, nf, 9]
+
+        func_dist_map = {'hard': 0, 'barycentric': 1, 'euclidean': 2}
+        func_rgb_map = {'hard': 0, 'softmax': 1}
+        func_alpha_map = {'hard': 0, 'sum': 1, 'prod': 2}
+        func_map_sample = {'surface': 0, 'vertex': 1}
+
+        image_size = self.image_size
+        background_color = self.background_color
+        near = self.near
+        far = self.far
+        eps = self.eps
+        sigma_val = self.sigma_val
+        gamma_val = self.gamma_val
+        dist_eps = self.dist_eps
+        fill_back = self.fill_back
+        dist_func = self.dist_func
+        aggr_func_rgb = self.aggr_func_rgb
+        aggr_func_alpha = self.aggr_func_alpha
+        texture_type = self.texture_type
+
+        self.func_dist_type = func_dist_map[dist_func]
+        self.func_rgb_type = func_rgb_map[aggr_func_rgb]
+        self.func_alpha_type = func_alpha_map[aggr_func_alpha]
+        self.texture_type = func_map_sample[texture_type]
+
+        face_vertices = face_vertices.clone()
+        textures = textures.clone()
+
+        self.batch_size, self.num_faces = face_vertices.shape[:2]
+
+        faces_info = jt.zeros((self.batch_size, self.num_faces, 9*3)) # [inv*9, sym*9, obt*3, 0*6]
+        aggrs_info = jt.zeros((self.batch_size, 2, self.image_size, self.image_size))
+        faces_id_buffer = jt.zeros((self.batch_size, self.max_faces_id, self.image_size, self.image_size),dtype="int32")
+
+        soft_colors = jt.ones((self.batch_size, 4, self.image_size, self.image_size))
+        soft_colors[:, 0, :, :] *= background_color[0]
+        soft_colors[:, 1, :, :] *= background_color[1]
+        soft_colors[:, 2, :, :] *= background_color[2]
+
+        
+        points = jt.zeros((self.batch_size, 2, self.image_size, self.image_size))
+        msk = jt.zeros((self.batch_size, 1, self.image_size, self.image_size))
+
+        # TODO: soft_colors do not init in cuda
+        faces_info, aggrs_info, soft_colors, faces_id_buffer, points, msk = \
+            soft_rasterize_cuda.forward_DrL_rasterize(face_vertices, textures,
+                                                       faces_info, aggrs_info,
+                                                       soft_colors, faces_id_buffer,
+                                                       points, msk, 
+                                                       image_size, near, far, eps,
+                                                       sigma_val, self.func_dist_type, self.dist_eps,
+                                                       gamma_val, self.func_rgb_type, self.func_alpha_type,
+                                                       self.texture_type, int(fill_back))
+
+        self.save_vars = face_vertices, textures, soft_colors, points, faces_info, aggrs_info, faces_id_buffer
+        return soft_colors, points, msk
+
+    def grad(self, grad_soft_colors, grad_points, grad_msk):
+
+        face_vertices, textures, soft_colors, points, faces_info, aggrs_info, faces_id_buffer = self.save_vars
+        
+        faces_id_buffer = jt.transpose(faces_id_buffer, (0, 2, 3, 1))
+        image_size = self.image_size
+        background_color = self.background_color
+        near = self.near
+        far = self.far
+        eps = self.eps
+        sigma_val = self.sigma_val
+        dist_eps = self.dist_eps
+        gamma_val = self.gamma_val
+        func_dist_type = self.func_dist_type
+        func_rgb_type = self.func_rgb_type
+        func_alpha_type = self.func_alpha_type
+        texture_type = self.texture_type
+        fill_back = self.fill_back
+
+        grad_faces = jt.zeros((face_vertices.shape))
+        grad_textures = jt.zeros((textures.shape))
+
+        grad_faces, grad_textures = \
+            soft_rasterize_cuda.backward_DrL_rasterize(face_vertices, textures, soft_colors, points, 
+                                                        faces_info, aggrs_info, faces_id_buffer,
+                                                        grad_faces, grad_textures, grad_soft_colors, grad_points,
+                                                        image_size, near, far, eps,
+                                                        sigma_val, func_dist_type, dist_eps,
+                                                        gamma_val, func_rgb_type, func_alpha_type,
+                                                        texture_type, int(fill_back))
+        
+        return grad_faces, grad_textures
+
+
+def DrL_rasterize(face_vertices, textures, image_size=256, 
+                   background_color=[0, 0, 0], near=1, far=100, 
+                   fill_back=True, eps=1e-3,
+                   sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4,
+                   gamma_val=1e-4, aggr_func_rgb='softmax', aggr_func_alpha='prod',
+                   texture_type='surface', bin_size=0, max_elems_per_bin=0, max_faces_per_pixel_for_grad=16):
+    return DrL_RasterizeFunction(image_size, 
+                                background_color, near, far,
+                                fill_back, eps,
+                                sigma_val, dist_func, dist_eps,
+                                gamma_val, aggr_func_rgb, aggr_func_alpha, 
+                                texture_type, bin_size, max_elems_per_bin,
+                                max_faces_per_pixel_for_grad)(face_vertices, textures)
\ No newline at end of file
diff --git a/jrender/renderer/dr/dr_l/__init__.py b/jrender/renderer/dr/dr_l/__init__.py
new file mode 100755
index 0000000..010314d
--- /dev/null
+++ b/jrender/renderer/dr/dr_l/__init__.py
@@ -0,0 +1,2 @@
+from .rasterizer import *
+from .DrL_rasterize import *
\ No newline at end of file
diff --git a/jrender/renderer/dr/dr_l/cuda/DrL_rasterize.py b/jrender/renderer/dr/dr_l/cuda/DrL_rasterize.py
new file mode 100755
index 0000000..0fc9e4d
--- /dev/null
+++ b/jrender/renderer/dr/dr_l/cuda/DrL_rasterize.py
@@ -0,0 +1,1008 @@
+import jittor as jt
+
+def forward_DrL_rasterize(face_vertices, textures,
+    faces_info, aggrs_info,
+    soft_colors, faces_id_buffer,
+    points, msk, 
+    image_size, near, far, eps,
+    sigma_val, func_id_dist, dist_eps,
+    gamma_val, func_id_rgb, func_id_alpha,
+    texture_sample_type, double_side):
+    return jt.code([faces_info.shape, aggrs_info.shape, soft_colors.shape, faces_id_buffer.shape, points.shape, msk.shape], [faces_info.dtype, aggrs_info.dtype, soft_colors.dtype, faces_id_buffer.dtype, points.dtype, msk.dtype],
+    [face_vertices, textures],
+    cuda_header='''
+    #include <cuda.h>
+    #include <cuda_runtime.h>
+
+#define kMaxPointsPerPixel 64
+
+namespace{
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) {
+        w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2];
+        w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2];
+        w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2];
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) {
+        return (x > max(max(face[0], face[3]), face[6]) + threshold ||
+                x < min(min(face[0], face[3]), face[6]) - threshold ||
+                y > max(max(face[1], face[4]), face[7]) + threshold ||
+                y < min(min(face[1], face[4]), face[7]) - threshold);
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_face_frontside(const scalar_t *face) {
+        return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]);
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) {
+        return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0;
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void barycentric_clip(scalar_t *w) {
+        for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.);
+        const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5);
+        for (int k = 0; k < 3; k++) w[k] /= w_sum;
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y,
+                                                        scalar_t *w, scalar_t *t, 
+                                                        const scalar_t* face, const scalar_t *face_info,
+                                                        const scalar_t xp, const scalar_t yp) {
+        const scalar_t *face_sym = face_info + 9;
+        const scalar_t *face_obt = face_info + 18;
+
+        if (w[0] > 0 && w[1] > 0 && w[2] > 0 &&
+            w[0] < 1 && w[1] < 1 && w[2] < 1) {
+            // inside the triangle, w[0] + w[1] + w[2] = 0
+            scalar_t dis_min = 100000000;
+            scalar_t dis_x_min = 0;
+            scalar_t dis_y_min = 0;
+            scalar_t a0[3];
+            scalar_t t0[3];
+            for (int k = 0; k < 3; k++) {
+                int v0 = k;
+                int v1 = (k + 1) % 3;
+                int v2 = (k + 2) % 3;
+                a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+                a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+                a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+                t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+                t0[v1] = 1 - t0[v0];
+                t0[v2] = 0;
+
+                t0[0] -= w[0];
+                t0[1] -= w[1];
+                t0[2] -= w[2];
+
+                // calculate distance
+                dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6];
+                dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7];
+                scalar_t dis = dis_x * dis_x + dis_y * dis_y;
+
+                if (dis < dis_min) {
+                    dis_min = dis;
+                    dis_x_min = dis_x;
+                    dis_y_min = dis_y;
+                    t[0] = t0[0];
+                    t[1] = t0[1];
+                    t[2] = t0[2];
+                }
+            }
+            dis_x = dis_x_min;
+            dis_y = dis_y_min;
+            sign = 1;
+        } else {
+            int v0 = -1;
+
+            if (w[1] <= 0 && w[2] <= 0) {
+                v0 = 0;
+                if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2;
+            } else if (w[2] <= 0 && w[0] <= 0) {
+                v0 = 1;
+                if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0;
+            } else if (w[0] <= 0 && w[1] <= 0) {
+                v0 = 2;
+                if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1;
+            } else
+            if (w[0] <= 0) v0 = 1;
+            else if (w[1] <= 0) v0 = 2;
+            else if (w[2] <= 0) v0 = 0;
+
+            const int v1 = (v0 + 1) % 3;
+            const int v2 = (v0 + 2) % 3;
+
+            scalar_t a0[3];
+
+            a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+            a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+            a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+            t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+            t[v1] = 1 - t[v0];
+            t[v2] = 0;
+
+            // clamp to [0, 1]
+            for (int k = 0; k < 3; k++) {
+                t[k] = min(max(t[k], 0.), 1.);
+                t[k] -= w[k];
+            }
+
+            // calculate distance
+            dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6];
+            dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7];
+            sign = -1;
+        }
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) {
+        dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]);
+        dis = dis > 0 ? dis*dis : -dis*dis;
+    }
+
+    template <typename scalar_t>
+    __device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type, const scalar_t* face, const scalar_t z) {
+        scalar_t texture_k;
+        if (texture_sample_type == 0) { // sample surface color with resolution as R
+            const int w_x = min(w[0] * R, float(R-1));
+            const int w_y = min(w[1] * R, float(R-1));
+            if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+                texture_k = texture[(w_y * R + w_x) * 3 + k];
+            } else {
+                texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k];
+            }
+        } else
+        if (texture_sample_type == 1) { // sample vertex color
+            texture_k = w[0] * texture[k] / face[2] + w[1] * texture[3 + k] / face[5] + w[2] * texture[6 + k] / face[8];
+            texture_k *= z;
+        }
+        return texture_k;
+    }
+
+    // triangle preprocessing
+    template <typename scalar_t>
+    __global__ void forward_soft_rasterize_inv_cuda_kernel(
+            const scalar_t* __restrict__ faces,
+            scalar_t* faces_info,
+            int batch_size,
+            int num_faces,
+            int image_size) {
+        /* batch number, face, number, image size, face[v012][RGB] */
+        const int i = blockIdx.x * blockDim.x + threadIdx.x;
+        if (i >= batch_size * num_faces) {
+            return;
+        }
+        // const int is = image_size;
+        const scalar_t* face = &faces[i * 9];
+        scalar_t* face_inv = &faces_info[i * 27];
+        scalar_t* face_sym = &faces_info[i * 27+9];
+        scalar_t* face_obt = &faces_info[i * 27+18];
+
+        /* return if backside */
+        // if ((face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]))
+            // return;
+        /* p[num][xy]: x, y is (-1, 1). */
+        scalar_t p[3][2];
+        for (int num = 0; num < 3; num++) {
+            for (int dim = 0; dim < 2; dim++) {
+                p[num][dim] = face[3 * num + dim]; // no normalize
+            }
+        }
+        /* compute face_inv */
+        scalar_t face_inv_star[9] = {
+            p[1][1] - p[2][1], p[2][0] - p[1][0], p[1][0] * p[2][1] - p[2][0] * p[1][1],
+            p[2][1] - p[0][1], p[0][0] - p[2][0], p[2][0] * p[0][1] - p[0][0] * p[2][1],
+            p[0][1] - p[1][1], p[1][0] - p[0][0], p[0][0] * p[1][1] - p[1][0] * p[0][1]};
+        scalar_t face_inv_determinant = (
+            p[2][0] * (p[0][1] - p[1][1]) +
+            p[0][0] * (p[1][1] - p[2][1]) +
+            p[1][0] * (p[2][1] - p[0][1]));
+        face_inv_determinant = face_inv_determinant > 0 ? max(face_inv_determinant, 1e-10) : min(face_inv_determinant, -1e-10);
+        /* set to global memory */
+        for (int k = 0; k < 9; k++) {
+            face_inv[k] = face_inv_star[k] / face_inv_determinant;
+        }
+        /* F * F.T */
+        for (int j = 0; j < 3; j++) {
+            for (int k = 0; k < 3; k++) {
+                face_sym[j * 3 + k] = face[j * 3 + 0] * face[k * 3 + 0] +
+                                    face[j * 3 + 1] * face[k * 3 + 1] + 
+                                    1;
+            }
+        }
+        /* check if one arc is obt arc */
+        for (int k = 0; k < 3; k++) {
+            const int k0 = k;
+            const int k1 = (k + 1) % 3;
+            const int k2 = (k + 2) % 3;
+            if ((p[k1][0] - p[k0][0]) * (p[k2][0] - p[k0][0]) + (p[k1][1] - p[k0][1]) * (p[k2][1] - p[k0][1]) < 0) {
+                face_obt[k0] = 1;
+                break;
+            }
+        }
+    }
+
+    struct Pixel{
+        int id;
+        float z;
+    };
+
+    template <typename scalar_t>
+    __global__ void forward_soft_rasterize_cuda_kernel(
+            const scalar_t* __restrict__ faces,
+            const scalar_t* __restrict__ textures,
+            const scalar_t* __restrict__ faces_info,
+            scalar_t* aggrs_info,
+            scalar_t* soft_colors,
+            int* faces_id_buffers,
+            scalar_t* points,
+            scalar_t* msk,
+            int batch_size,
+            int num_faces,
+            int image_size,
+            int max_faces_id,
+            int texture_size,
+            int texture_res,
+            float near,
+            float far,
+            float eps,
+            float sigma_val,
+            int func_id_dist,
+            float dist_eps,
+            float gamma_val,
+            int func_id_rgb,
+            int func_id_alpha,
+            int texture_sample_type,
+            int double_side) {
+
+        ////////////////////////
+        ////////////////////////
+
+        const int i = blockIdx.x * blockDim.x + threadIdx.x;
+        if (i >= batch_size * image_size * image_size) {
+            return;
+        }
+        const int is = image_size;
+        const int nf = num_faces;
+        const int bn = i / (is * is);
+        const int pn = i % (is * is);
+        const int yi = is - 1 - (pn / is);
+        const int xi = pn % is;
+        const scalar_t yp = (2. * yi + 1. - is) / is;
+        const scalar_t xp = (2. * xi + 1. - is) / is;
+        
+        points[(bn * 2 + 0) * (is * is) + pn] = xp;
+        points[(bn * 2 + 1) * (is * is) + pn] = yp;
+
+        const scalar_t *face = &faces[bn * nf * 9] - 9;
+        const scalar_t *texture = &textures[bn * nf * texture_size * 3] - texture_size * 3;
+        const scalar_t *face_info = &faces_info[bn * nf * 27] - 27;
+
+        const scalar_t threshold = dist_eps * sigma_val;
+
+        // Initialize pixel color
+        scalar_t soft_color[4] = {1., 1., 1., 0.};
+        if (func_id_alpha == 2) soft_color[3] = 1.;
+        scalar_t softmax_sum = exp(eps / gamma_val);
+        scalar_t softmax_max = eps;
+        for (int k = 0; k < 3; k++) {
+            if (func_id_rgb == 0) { // hard assign, set to background
+                soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn];
+            } else
+            if (func_id_rgb == 1) {
+                soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn] * softmax_sum; // initialize background color
+            }
+        }
+        scalar_t depth_min = 10000000;
+        int face_index_min = -1;
+        Pixel q[kMaxPointsPerPixel];
+        int q_size = 0;
+        float q_max_z = -1;
+        int q_max_id = -1;
+
+        for (int fn = 0; fn < nf; fn++) {
+            face += 9;
+            texture += texture_size * 3;
+            face_info += 27;
+
+            if (check_border(xp, yp, face, sqrt(threshold))) continue; // triangle too far away from pixel
+
+            scalar_t dis;
+            scalar_t dis_x;
+            scalar_t dis_y;
+            scalar_t t[3];
+            scalar_t w[3];
+            scalar_t w_clip[3];
+            scalar_t sign;
+            scalar_t soft_fragment;
+
+            // compute barycentric coordinate w
+            barycentric_coordinate(w, xp, yp, face_info);
+
+            // compute probability map based on distance functions
+            if (func_id_dist == 0) { // hard assign
+                soft_fragment = check_pixel_inside(w) ? 1. : 0.;
+                if (soft_fragment == 0.) continue; // ignore triangle outside of the pixel
+            } else
+            if (func_id_dist == 1) { // barycentric distance
+                forward_barycentric_p2f_distance(dis, w);
+                if (-dis >= threshold) continue; // ignore triangle far away from the pixel
+                soft_fragment = 1. / (1. + exp(-dis / sigma_val));
+            } else
+            if (func_id_dist == 2) { // euclidean distance
+                euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp);
+                dis = dis_x * dis_x + dis_y * dis_y;
+                if (sign < 0 && dis >= threshold) continue; // ignore triangle far away from the pixel
+                soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val));
+            }
+
+            /////////////////////////////////////////////////////
+
+            // aggragate for alpha channel
+            if (func_id_alpha == 0) { // hard assign
+                if (soft_fragment > 0.5) soft_color[3] = 1.;
+            } else
+            if (func_id_alpha == 1) { // Sum
+                soft_color[3] += soft_fragment;
+            } else 
+            if (func_id_alpha == 2) { // Logical-Or
+                soft_color[3] *= 1. - soft_fragment;
+            }
+            
+            /////////////////////////////////////////////////////
+
+            for (int k = 0; k < 3; k++) w_clip[k] = w[k];
+            barycentric_clip(w_clip);
+            const scalar_t zp = 1. / (w_clip[0] / face[2] + w_clip[1] / face[5] + w_clip[2] / face[8]);
+            if (zp < near || zp > far) continue; // triangle out of screen, pass
+
+///////////////////////////////////////////////////
+            // choose Topk  
+            if (q_size < max_faces_id){
+                q[q_size] = {fn,zp};
+                if (zp > q_max_z){
+                    q_max_z = zp;
+                    q_max_id = q_size;
+                }
+                q_size++;
+            } else if (zp < q_max_z){
+                q[q_max_id] = {fn,zp};
+                q_max_z = -1;
+                for(int k = 0; k < q_size; k++){
+                    if(q[k].z > q_max_z){
+                        q_max_z = q[k].z;
+                        q_max_id = k;
+                    }
+                }
+            }
+            
+
+            /////////////////////////////////////////////////////
+            if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))){
+                points[(bn * 2 + 0) * (is * is) + pn] = w_clip[0]*face[0] + w_clip[1]*face[3] + w_clip[2]*face[6];
+                points[(bn * 2 + 1) * (is * is) + pn] = w_clip[0]*face[1] + w_clip[1]*face[4] + w_clip[2]*face[7];
+                msk[(bn * 1 + 0) * (is * is) + pn] = 1.0;
+            }
+
+            // aggregate for rgb channels
+            if (func_id_rgb == 0) { // Hard assign
+                if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))) {
+                    depth_min = zp;
+                    face_index_min = fn;
+                    for (int k = 0; k < 3; k++) {
+                        soft_color[k] = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp);
+                    }
+                }
+            } else
+            if (func_id_rgb == 1) { // D * Softmax (Z)
+                if (check_face_frontside(face) || double_side) {
+                    const scalar_t zp_norm =  (far - zp) / (far - near);
+                    scalar_t exp_delta_zp = 1.;
+                    if (zp_norm > softmax_max) {
+                        exp_delta_zp = exp((softmax_max - zp_norm) / gamma_val);
+                        softmax_max = zp_norm;
+                    }
+                    const scalar_t exp_z = exp((zp_norm - softmax_max) / gamma_val);
+                    softmax_sum = exp_delta_zp * softmax_sum + exp_z * soft_fragment;
+                    for (int k = 0; k < 3; k++) {
+                        const scalar_t color_k = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp);
+                        soft_color[k] = exp_delta_zp * soft_color[k] + exp_z * soft_fragment * color_k;// * soft_fragment;
+                        if(isnan(color_k)){
+                            //printf("color_k: %f exp_z: %f soft_color: %f\\n",color_k,exp_z,soft_color[k]);
+                            //printf("%f %f %f\\n",w_clip[0],w_clip[1],w_clip[2]);
+                            //printf("zp: %f\\n",zp);
+                        }
+                    }
+                }
+            }
+
+        }
+
+        //////////////////////////////////////////////
+
+        // finalize aggregation
+        if (func_id_alpha == 0) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  soft_color[3];
+        } else
+        if (func_id_alpha == 1) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  soft_color[3] / nf;
+        } else 
+        if (func_id_alpha == 2) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  1. - soft_color[3];
+        }
+
+        if (func_id_rgb == 0) {
+            if (face_index_min != -1)
+                for (int k = 0; k < 3; k++) {
+                    soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k];
+                }
+            aggrs_info[(bn * 2 + 0) * (is * is) + pn] = depth_min;
+            aggrs_info[(bn * 2 + 1) * (is * is) + pn] = face_index_min;
+        } else
+        if (func_id_rgb == 1) {
+            for (int k = 0; k < 3; k++) {
+                soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k] / softmax_sum;
+                if(isnan(soft_color[k]))
+                printf("i: %d xi: %d yi: %d soft_color: %f\\n",i,xi,yi,soft_color[k]);
+            }
+            aggrs_info[(bn * 2 + 0) * (is * is) + pn] = softmax_sum;
+            aggrs_info[(bn * 2 + 1) * (is * is) + pn] = softmax_max;
+        }
+        for (int k = 0; k < q_size; k++) {
+            faces_id_buffers[(bn * max_faces_id + k) * (is * is) + pn] = q[k].id;
+        }
+    }
+}
+    ''',
+    cuda_src=f'''
+    @alias(faces, in0)
+    @alias(textures, in1)
+    @alias(faces_info, out0)
+    @alias(aggrs_info, out1)
+    @alias(soft_colors, out2)
+    @alias(faces_id_buffer, out3)
+    @alias(points, out4)
+    @alias(msk, out5)
+
+    cudaMemsetAsync(out0_p, 0, out0->size);
+    cudaMemsetAsync(out1_p, 0, out1->size);
+    cudaMemsetAsync(out2_p, 0, out2->size);
+    cudaMemsetAsync(out3_p, -1, out3->size);
+    cudaMemsetAsync(out4_p, 0, out4->size);
+    cudaMemsetAsync(out5_p, 0, out5->size);
+
+    const auto batch_size = faces_shape0;
+    const auto num_faces = faces_shape1;
+    const auto texture_size = textures_shape2;
+    const auto texture_res = int(sqrt(texture_size));
+    const auto max_faces_id = faces_id_buffer_shape1;
+    const int threads = 512;
+    const dim3 blocks_1 ((batch_size * num_faces - 1) / threads +1);
+
+    forward_soft_rasterize_inv_cuda_kernel<float32><<<blocks_1, threads>>>(
+        faces_p,
+        faces_info_p,
+        batch_size,
+        num_faces,
+        {image_size});
+
+    cudaError_t err = cudaGetLastError();
+    if (err != cudaSuccess) 
+            printf("Error in forward_transform_inv_triangle: %s\\n", cudaGetErrorString(err));
+
+    const dim3 blocks_2 ((batch_size * {image_size} * {image_size} - 1) / threads +1);
+
+    forward_soft_rasterize_cuda_kernel<float32><<<blocks_2, threads>>>(
+        faces_p,
+        textures_p,
+        faces_info_p,
+        aggrs_info_p,
+        soft_colors_p,
+        faces_id_buffer_p,
+        points_p,
+        msk_p,
+        batch_size,
+        num_faces,
+        {image_size},
+        max_faces_id,
+        texture_size,
+        texture_res,
+        {near},
+        {far},
+        {eps},
+        {sigma_val},
+        {func_id_dist},
+        {dist_eps},
+        {gamma_val},
+        {func_id_rgb},
+        {func_id_alpha},
+        {texture_sample_type},
+        {double_side});
+
+    err = cudaGetLastError();
+    if (err != cudaSuccess) 
+        printf("Error in forward_soft_rasterize: %s\\n", cudaGetErrorString(err));
+    ''')
+
+def backward_DrL_rasterize(faces, textures, soft_colors, points, 
+    faces_info, aggrs_info, faces_id_buffer,
+    grad_faces, grad_textures, grad_soft_colors, grad_points, 
+    image_size, near, far, eps,
+    sigma_val, func_id_dist, dist_eps,
+    gamma_val, func_id_rgb, func_id_alpha,
+    texture_sample_type, double_side):
+    return jt.code([grad_faces.shape, grad_textures.shape], [grad_faces.dtype, grad_textures.dtype], [faces, textures, soft_colors, points,
+    faces_info, aggrs_info, grad_soft_colors, faces_id_buffer, grad_points],
+    cuda_header='''
+#include <cuda.h>
+#include <cuda_runtime.h>
+
+namespace{
+
+template <typename scalar_t>
+__device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) {
+    w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2];
+    w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2];
+    w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2];
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) {
+    return (x > max(max(face[0], face[3]), face[6]) + threshold ||
+            x < min(min(face[0], face[3]), face[6]) - threshold ||
+            y > max(max(face[1], face[4]), face[7]) + threshold ||
+            y < min(min(face[1], face[4]), face[7]) - threshold);
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_face_frontside(const scalar_t *face) {
+    return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]);
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) {
+    return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void barycentric_clip(scalar_t *w) {
+    for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.);
+    const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5);
+    for (int k = 0; k < 3; k++) w[k] /= w_sum;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y,
+                                                       scalar_t *w, scalar_t *t, 
+                                                       const scalar_t* face, const scalar_t *face_info,
+                                                       const scalar_t xp, const scalar_t yp) {
+    const scalar_t *face_sym = face_info + 9;
+    const scalar_t *face_obt = face_info + 18;
+
+    if (w[0] > 0 && w[1] > 0 && w[2] > 0 &&
+        w[0] < 1 && w[1] < 1 && w[2] < 1) {
+        // inside the triangle, w[0] + w[1] + w[2] = 0
+        scalar_t dis_min = 100000000;
+        scalar_t dis_x_min = 0;
+        scalar_t dis_y_min = 0;
+        scalar_t a0[3];
+        scalar_t t0[3];
+        for (int k = 0; k < 3; k++) {
+            int v0 = k;
+            int v1 = (k + 1) % 3;
+            int v2 = (k + 2) % 3;
+            a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+            a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+            a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+            t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+            t0[v1] = 1 - t0[v0];
+            t0[v2] = 0;
+
+            t0[0] -= w[0];
+            t0[1] -= w[1];
+            t0[2] -= w[2];
+
+            // calculate distance
+            dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6];
+            dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7];
+            scalar_t dis = dis_x * dis_x + dis_y * dis_y;
+
+            if (dis < dis_min) {
+                dis_min = dis;
+                dis_x_min = dis_x;
+                dis_y_min = dis_y;
+                t[0] = t0[0];
+                t[1] = t0[1];
+                t[2] = t0[2];
+            }
+        }
+        dis_x = dis_x_min;
+        dis_y = dis_y_min;
+        sign = 1;
+    } else {
+        int v0 = -1;
+
+        if (w[1] <= 0 && w[2] <= 0) {
+            v0 = 0;
+            if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2;
+        } else if (w[2] <= 0 && w[0] <= 0) {
+            v0 = 1;
+            if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0;
+        } else if (w[0] <= 0 && w[1] <= 0) {
+            v0 = 2;
+            if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1;
+        } else
+        if (w[0] <= 0) v0 = 1;
+        else if (w[1] <= 0) v0 = 2;
+        else if (w[2] <= 0) v0 = 0;
+
+        const int v1 = (v0 + 1) % 3;
+        const int v2 = (v0 + 2) % 3;
+
+        scalar_t a0[3];
+
+        a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+        a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+        a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+        t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+        t[v1] = 1 - t[v0];
+        t[v2] = 0;
+
+        // clamp to [0, 1]
+        for (int k = 0; k < 3; k++) {
+            t[k] = min(max(t[k], 0.), 1.);
+            t[k] -= w[k];
+        }
+
+        // calculate distance
+        dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6];
+        dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7];
+        sign = -1;
+    }
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) {
+    dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]);
+    dis = dis > 0 ? dis*dis : -dis*dis;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void backward_barycentric_p2f_distance(scalar_t grad_v[3][3], const scalar_t *w, const scalar_t *face_info, const scalar_t xp, const scalar_t yp, const scalar_t dis, const scalar_t C) {
+    const int p = w[0] > w[1] ? (w[1] > w[2] ? 2 : 1) : (w[0] > w[2] ? 2 : 0);
+    const scalar_t *face_inv = face_info;
+    for (int l = 0; l < 2; l++) {
+        for (int k = 0; k < 3; k++) {
+            scalar_t grad_kl = 0;
+            for (int q = 0; q < 3; q++) {
+                grad_kl += -face_inv[3*p+l] * face_inv[3*k+q] * (q == 0 ? xp : (q == 1 ? yp : 1));
+            }
+            grad_v[k][l] = grad_kl * C;
+            grad_v[k][l] *= dis > 0 ? (2. * sqrt(dis)) : (2. * sqrt(-dis));
+        }
+    }
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type) {
+    scalar_t texture_k;
+    if (texture_sample_type == 0) { // sample surface color with resolution as R
+        const int w_x = min(w[0] * R, float(R-1));
+        const int w_y = min(w[1] * R, float(R-1));
+        if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+            texture_k = texture[(w_y * R + w_x) * 3 + k];
+        } else {
+            texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k];
+        }
+    } else
+    if (texture_sample_type == 1) { // sample vertex color
+        texture_k = w[0] * texture[k] + w[1] * texture[3+k] + w[2] * texture[6+k];
+    }
+    return texture_k;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ scalar_t backward_sample_texture(const scalar_t grad_color, const scalar_t *w, const int R, const int k, const int texture_sample_type) {
+    scalar_t grad_texture_k;
+    if (texture_sample_type == 0) { // sample surface color with resolution as R
+        const int w_x = min(w[0] * R, float(R-1));
+        const int w_y = min(w[1] * R, float(R-1));
+        if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+            if (k == w_y * R + w_x) {
+                grad_texture_k = grad_color;
+            }
+        } else {
+            if (k == (R - 1 - w_y) * R + (R - 1 - w_x)) {
+                grad_texture_k = grad_color;
+            }
+        }
+    } else
+    if (texture_sample_type == 1) {
+        grad_texture_k = w[k] * grad_color;
+    }
+    return grad_texture_k;
+}
+
+
+template <typename scalar_t>
+__global__ void backward_soft_rasterize_cuda_kernel(
+        const scalar_t* __restrict__ faces,
+        const int* __restrict__ faces_id_buffers,
+        const scalar_t* __restrict__ textures,
+        const scalar_t* __restrict__ soft_colors,
+        const scalar_t* __restrict__ points,
+        const scalar_t* __restrict__ faces_info,
+        const scalar_t* __restrict__ aggrs_info, // 0: sum, 1: max z*D
+        scalar_t* grad_faces,
+        scalar_t* grad_textures,
+        scalar_t* grad_soft_colors,
+        scalar_t* grad_points,
+        int batch_size,
+        int num_faces,
+        int image_size,
+        int max_faces_id,
+        int texture_size,
+        int texture_res,
+        float near,
+        float far,
+        float eps,
+        float sigma_val,
+        int func_id_dist,
+        float dist_eps,
+        float gamma_val,
+        int func_id_rgb,
+        int func_id_alpha,
+        int texture_sample_type,
+        bool double_side) {
+
+    ////////////////////////
+    ////////////////////////
+
+    const int i = blockIdx.x * blockDim.x + threadIdx.x;
+    if (i >= batch_size * image_size * image_size) {
+        return;
+    }
+    const int is = image_size;
+    const int nf = num_faces;
+    const int mf = max_faces_id;
+    const int bn = i / (is * is);
+    const int pn = i % (is * is);
+    const int yi = is - 1 - (pn / is);
+    const int xi = pn % is;
+    const scalar_t yp = (2. * yi + 1 - is) / is;
+    const scalar_t xp = (2. * xi + 1 - is) / is;
+
+    const scalar_t* face;
+    const scalar_t* texture;
+    const scalar_t* face_info;
+    const int* faces_id_buffer = &faces_id_buffers[bn * is * is * mf + pn * mf];
+
+    const scalar_t threshold = dist_eps * sigma_val;
+
+    const scalar_t softmax_sum = aggrs_info[(bn * 2 + 0) * (is * is) + pn];
+    const scalar_t softmax_max = aggrs_info[(bn * 2 + 1) * (is * is) + pn];
+
+    for (int m = 0; m < mf; m++) {
+        int fn = faces_id_buffer[m];
+
+        if (fn == -1){
+            break;
+        }
+
+        face = &faces[(bn * nf + fn) * 9];
+        texture = &textures[(bn * nf + fn) * texture_size * 3];
+        face_info = &faces_info[(bn * nf + fn) * 27];
+
+        if (check_border(xp, yp, face, sqrt(threshold))) continue;
+
+        scalar_t dis;
+        scalar_t dis_x;
+        scalar_t dis_y;
+        scalar_t t[3];
+        scalar_t w[3];
+        scalar_t w0[3];
+        scalar_t sign;
+        scalar_t soft_fragment;
+
+        barycentric_coordinate(w, xp, yp, face_info);
+
+        // compute probability map based on distance functions
+        if (func_id_dist == 0) { // hard assign
+            soft_fragment = 1;
+        } else
+        if (func_id_dist == 1) { // barycentric distance
+            forward_barycentric_p2f_distance(dis, w);
+            for (int k = 0; k < 3; k++) t[k] = w[k];
+            soft_fragment = 1. / (1. + exp(-dis / sigma_val));
+        } else
+        if (func_id_dist == 2) { // euclidean distance
+            euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp);
+            dis = dis_x * dis_x + dis_y * dis_y;
+            soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val));
+        }
+
+
+        scalar_t* grad_face = &grad_faces[(bn * nf + fn) * 9];
+        scalar_t* grad_texture = &grad_textures[(bn * nf + fn) * texture_size * 3];
+        scalar_t grad_v[3][3] = {0};
+        scalar_t C_grad_xy = 0;
+
+        /////////////////////////////////////////////////////
+
+        // aggragate for alpha channel
+        scalar_t C_grad_xy_alpha = grad_soft_colors[(bn * 4 + 3) * (is * is) + pn];
+        if (func_id_alpha == 0) { // hard assign
+            // hard assign alpha channels does not have gradient
+        } else
+        if (func_id_alpha == 1) { // Sum
+            C_grad_xy_alpha /= nf;
+        } else 
+        if (func_id_alpha == 2) { // Logical-Or
+            C_grad_xy_alpha *= (1 - soft_colors[(bn * 4 + 3) * (is * is) + pn]) / max(1 - soft_fragment, 1e-6);
+        }
+        C_grad_xy += C_grad_xy_alpha;
+
+        /////////////////////////////////////////////////////
+        for (int k = 0; k < 3; k++) w0[k] = w[k];
+        barycentric_clip(w);
+        const scalar_t zp = 1. / (w[0] / face[2] + w[1] / face[5] + w[2] / face[8]);
+
+        // aggregate for rgb channels
+        if (func_id_rgb == 0) { // Hard assign, no gradient to xyz
+            if (fn == softmax_max) {
+                for (int k = 0; k < 3; k++) {
+                    for (int j = 0; j < texture_size; j++) {
+                        atomicAdd(&grad_texture[3 * j + k], backward_sample_texture(grad_soft_colors[(bn * 4 + k) * (is * is) + pn], w, texture_res, j, texture_sample_type));
+                    }
+                }
+            }
+        } else
+        if (func_id_rgb == 1) { // Softmax (Z * D)
+            scalar_t C_grad_xyz_rgb = 0.;
+
+            const scalar_t zp_norm = (far - zp) / (far - near);
+            const scalar_t zp_softmax = soft_fragment * exp((zp_norm - softmax_max) / gamma_val) / softmax_sum;
+
+            for (int k = 0; k < 3; k++) {
+                const scalar_t grad_soft_color_k = grad_soft_colors[(bn * 4 + k) * (is * is) + pn];
+
+                for (int j = 0; j < texture_size; j++) {
+                    const scalar_t grad_t = backward_sample_texture(grad_soft_color_k, w, texture_res, j, texture_sample_type);
+                    atomicAdd(&grad_texture[3 * j + k], zp_softmax * grad_t);
+                }
+
+                const scalar_t color_k = forward_sample_texture(texture, w, texture_res, k, texture_sample_type);
+                C_grad_xyz_rgb += grad_soft_color_k * (color_k - soft_colors[(bn * 4 + k) * (is * is) + pn]);
+            }
+            C_grad_xyz_rgb *= zp_softmax;
+            C_grad_xy += C_grad_xyz_rgb / soft_fragment;
+
+            const scalar_t C_grad_z_rgb = C_grad_xyz_rgb / gamma_val / (near - far) * zp * zp;
+            grad_v[0][2] = C_grad_z_rgb * w[0] / face[2] / face[2];
+            grad_v[1][2] = C_grad_z_rgb * w[1] / face[5] / face[5];
+            grad_v[2][2] = C_grad_z_rgb * w[2] / face[8] / face[8];
+        }
+
+        /////////////////////////////////////////////////////
+
+        C_grad_xy *= soft_fragment * (1 - soft_fragment) / sigma_val; // sigmoid gradient
+        // compute probability map gradient based on distance functions
+        if (func_id_dist == 1) { // barycentric distance
+            backward_barycentric_p2f_distance(grad_v, t, face_info, xp, yp, dis, C_grad_xy);
+        } else
+        if (func_id_dist == 2) { // euclidean distance
+            for (int k = 0; k < 3; k++) {
+                for (int l = 0; l < 2; l++) {
+                    grad_v[k][l] = 2 * sign * C_grad_xy * (t[k] + w0[k]) * (l == 0 ? dis_x : dis_y);
+                }
+            }
+        }
+        
+        const scalar_t grad_px = grad_points[(bn * 2 + 0) * (is * is) + pn];
+        const scalar_t grad_py = grad_points[(bn * 2 + 1) * (is * is) + pn];
+
+        grad_v[0][0] += grad_px*w[0] / face[2] / face[2];
+        grad_v[0][1] += grad_py*w[0] / face[2] / face[2];
+        grad_v[1][0] += grad_px*w[1] / face[5] / face[5];
+        grad_v[1][1] += grad_py*w[1] / face[5] / face[5];
+        grad_v[2][0] += grad_px*w[2] / face[8] / face[8];
+        grad_v[2][1] += grad_py*w[2] / face[8] / face[8];
+
+        atomicAdd(&grad_face[0], grad_v[0][0]);
+        atomicAdd(&grad_face[1], grad_v[0][1]);
+        atomicAdd(&grad_face[3], grad_v[1][0]);
+        atomicAdd(&grad_face[4], grad_v[1][1]);
+        atomicAdd(&grad_face[6], grad_v[2][0]);
+        atomicAdd(&grad_face[7], grad_v[2][1]);
+
+        atomicAdd(&grad_face[2], grad_v[0][2]);
+        atomicAdd(&grad_face[5], grad_v[1][2]);
+        atomicAdd(&grad_face[8], grad_v[2][2]);
+    }
+}
+}
+    ''',
+    cuda_src=f'''
+    @alias(faces, in0)
+    @alias(textures, in1)
+    @alias(soft_colors, in2)
+    @alias(points, in3)
+    @alias(faces_info, in4)
+    @alias(aggrs_info, in5)
+    @alias(grad_soft_colors, in6)
+    @alias(faces_id_buffer,in7)
+    @alias(grad_points, in8)
+    @alias(grad_faces, out0)
+    @alias(grad_textures, out1)
+
+    cudaMemsetAsync(out0_p, 0, out0->size);
+    cudaMemsetAsync(out1_p, 0, out1->size);
+
+    const auto batch_size = faces_shape0;
+    const auto num_faces = faces_shape1;
+    const auto texture_size = textures_shape2;
+    const auto texture_res = int(sqrt(texture_size));
+    const auto max_faces_id = faces_id_buffer_shape3;
+    const int threads = 512;
+    const dim3 blocks ((batch_size * {image_size} * {image_size} - 1) / threads + 1);
+
+    backward_soft_rasterize_cuda_kernel<float32><<<blocks, threads>>>(
+        faces_p,
+        faces_id_buffer_p,
+        textures_p,
+        soft_colors_p,
+        points_p,
+        faces_info_p,
+        aggrs_info_p,
+        grad_faces_p,
+        grad_textures_p,
+        grad_soft_colors_p,
+        grad_points_p,
+        batch_size,
+        num_faces,
+        {image_size},
+        max_faces_id,
+        texture_size,
+        texture_res,
+        {near},
+        {far},
+        {eps},
+        {sigma_val},
+        {func_id_dist},
+        {dist_eps},
+        {gamma_val},
+        {func_id_rgb},
+        {func_id_alpha},
+        {texture_sample_type},
+        {double_side});
+
+    cudaError_t err = cudaGetLastError();
+    if (err != cudaSuccess) 
+        printf("Error in backward_soft_rasterize: %s", cudaGetErrorString(err));
+    ''')
+
diff --git a/jrender/renderer/dr/dr_l/cuda/backward_old.py b/jrender/renderer/dr/dr_l/cuda/backward_old.py
new file mode 100755
index 0000000..b8dc1e7
--- /dev/null
+++ b/jrender/renderer/dr/dr_l/cuda/backward_old.py
@@ -0,0 +1,1013 @@
+import jittor as jt
+
+def forward_DrL_rasterize(face_vertices, textures,
+    faces_info, aggrs_info,
+    soft_colors, faces_id_buffer,
+    points, msk, 
+    image_size, near, far, eps,
+    sigma_val, func_id_dist, dist_eps,
+    gamma_val, func_id_rgb, func_id_alpha,
+    texture_sample_type, double_side):
+    return jt.code([faces_info.shape, aggrs_info.shape, soft_colors.shape, faces_id_buffer.shape, points.shape, msk.shape], [faces_info.dtype, aggrs_info.dtype, soft_colors.dtype, faces_id_buffer.dtype, points.dtype, msk.dtype],
+    [face_vertices, textures],
+    cuda_header='''
+    #include <cuda.h>
+    #include <cuda_runtime.h>
+
+#define kMaxPointsPerPixel 64
+
+namespace{
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) {
+        w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2];
+        w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2];
+        w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2];
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) {
+        return (x > max(max(face[0], face[3]), face[6]) + threshold ||
+                x < min(min(face[0], face[3]), face[6]) - threshold ||
+                y > max(max(face[1], face[4]), face[7]) + threshold ||
+                y < min(min(face[1], face[4]), face[7]) - threshold);
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_face_frontside(const scalar_t *face) {
+        return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]);
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) {
+        return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0;
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void barycentric_clip(scalar_t *w) {
+        for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.);
+        const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5);
+        for (int k = 0; k < 3; k++) w[k] /= w_sum;
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y,
+                                                        scalar_t *w, scalar_t *t, 
+                                                        const scalar_t* face, const scalar_t *face_info,
+                                                        const scalar_t xp, const scalar_t yp) {
+        const scalar_t *face_sym = face_info + 9;
+        const scalar_t *face_obt = face_info + 18;
+
+        if (w[0] > 0 && w[1] > 0 && w[2] > 0 &&
+            w[0] < 1 && w[1] < 1 && w[2] < 1) {
+            // inside the triangle, w[0] + w[1] + w[2] = 0
+            scalar_t dis_min = 100000000;
+            scalar_t dis_x_min = 0;
+            scalar_t dis_y_min = 0;
+            scalar_t a0[3];
+            scalar_t t0[3];
+            for (int k = 0; k < 3; k++) {
+                int v0 = k;
+                int v1 = (k + 1) % 3;
+                int v2 = (k + 2) % 3;
+                a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+                a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+                a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+                t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+                t0[v1] = 1 - t0[v0];
+                t0[v2] = 0;
+
+                t0[0] -= w[0];
+                t0[1] -= w[1];
+                t0[2] -= w[2];
+
+                // calculate distance
+                dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6];
+                dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7];
+                scalar_t dis = dis_x * dis_x + dis_y * dis_y;
+
+                if (dis < dis_min) {
+                    dis_min = dis;
+                    dis_x_min = dis_x;
+                    dis_y_min = dis_y;
+                    t[0] = t0[0];
+                    t[1] = t0[1];
+                    t[2] = t0[2];
+                }
+            }
+            dis_x = dis_x_min;
+            dis_y = dis_y_min;
+            sign = 1;
+        } else {
+            int v0 = -1;
+
+            if (w[1] <= 0 && w[2] <= 0) {
+                v0 = 0;
+                if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2;
+            } else if (w[2] <= 0 && w[0] <= 0) {
+                v0 = 1;
+                if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0;
+            } else if (w[0] <= 0 && w[1] <= 0) {
+                v0 = 2;
+                if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1;
+            } else
+            if (w[0] <= 0) v0 = 1;
+            else if (w[1] <= 0) v0 = 2;
+            else if (w[2] <= 0) v0 = 0;
+
+            const int v1 = (v0 + 1) % 3;
+            const int v2 = (v0 + 2) % 3;
+
+            scalar_t a0[3];
+
+            a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+            a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+            a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+            t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+            t[v1] = 1 - t[v0];
+            t[v2] = 0;
+
+            // clamp to [0, 1]
+            for (int k = 0; k < 3; k++) {
+                t[k] = min(max(t[k], 0.), 1.);
+                t[k] -= w[k];
+            }
+
+            // calculate distance
+            dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6];
+            dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7];
+            sign = -1;
+        }
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) {
+        dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]);
+        dis = dis > 0 ? dis*dis : -dis*dis;
+    }
+
+    template <typename scalar_t>
+    __device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type, const scalar_t* face, const scalar_t z) {
+        scalar_t texture_k;
+        if (texture_sample_type == 0) { // sample surface color with resolution as R
+            const int w_x = min(w[0] * R, float(R-1));
+            const int w_y = min(w[1] * R, float(R-1));
+            if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+                texture_k = texture[(w_y * R + w_x) * 3 + k];
+            } else {
+                texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k];
+            }
+        } else
+        if (texture_sample_type == 1) { // sample vertex color
+            texture_k = w[0] * texture[k] / face[2] + w[1] * texture[3 + k] / face[5] + w[2] * texture[6 + k] / face[8];
+            texture_k *= z;
+        }
+        return texture_k;
+    }
+
+    // triangle preprocessing
+    template <typename scalar_t>
+    __global__ void forward_soft_rasterize_inv_cuda_kernel(
+            const scalar_t* __restrict__ faces,
+            scalar_t* faces_info,
+            int batch_size,
+            int num_faces,
+            int image_size) {
+        /* batch number, face, number, image size, face[v012][RGB] */
+        const int i = blockIdx.x * blockDim.x + threadIdx.x;
+        if (i >= batch_size * num_faces) {
+            return;
+        }
+        // const int is = image_size;
+        const scalar_t* face = &faces[i * 9];
+        scalar_t* face_inv = &faces_info[i * 27];
+        scalar_t* face_sym = &faces_info[i * 27+9];
+        scalar_t* face_obt = &faces_info[i * 27+18];
+
+        /* return if backside */
+        // if ((face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]))
+            // return;
+        /* p[num][xy]: x, y is (-1, 1). */
+        scalar_t p[3][2];
+        for (int num = 0; num < 3; num++) {
+            for (int dim = 0; dim < 2; dim++) {
+                p[num][dim] = face[3 * num + dim]; // no normalize
+            }
+        }
+        /* compute face_inv */
+        scalar_t face_inv_star[9] = {
+            p[1][1] - p[2][1], p[2][0] - p[1][0], p[1][0] * p[2][1] - p[2][0] * p[1][1],
+            p[2][1] - p[0][1], p[0][0] - p[2][0], p[2][0] * p[0][1] - p[0][0] * p[2][1],
+            p[0][1] - p[1][1], p[1][0] - p[0][0], p[0][0] * p[1][1] - p[1][0] * p[0][1]};
+        scalar_t face_inv_determinant = (
+            p[2][0] * (p[0][1] - p[1][1]) +
+            p[0][0] * (p[1][1] - p[2][1]) +
+            p[1][0] * (p[2][1] - p[0][1]));
+        face_inv_determinant = face_inv_determinant > 0 ? max(face_inv_determinant, 1e-10) : min(face_inv_determinant, -1e-10);
+        /* set to global memory */
+        for (int k = 0; k < 9; k++) {
+            face_inv[k] = face_inv_star[k] / face_inv_determinant;
+        }
+        /* F * F.T */
+        for (int j = 0; j < 3; j++) {
+            for (int k = 0; k < 3; k++) {
+                face_sym[j * 3 + k] = face[j * 3 + 0] * face[k * 3 + 0] +
+                                    face[j * 3 + 1] * face[k * 3 + 1] + 
+                                    1;
+            }
+        }
+        /* check if one arc is obt arc */
+        for (int k = 0; k < 3; k++) {
+            const int k0 = k;
+            const int k1 = (k + 1) % 3;
+            const int k2 = (k + 2) % 3;
+            if ((p[k1][0] - p[k0][0]) * (p[k2][0] - p[k0][0]) + (p[k1][1] - p[k0][1]) * (p[k2][1] - p[k0][1]) < 0) {
+                face_obt[k0] = 1;
+                break;
+            }
+        }
+    }
+
+    struct Pixel{
+        int id;
+        float z;
+    };
+
+    template <typename scalar_t>
+    __global__ void forward_soft_rasterize_cuda_kernel(
+            const scalar_t* __restrict__ faces,
+            const scalar_t* __restrict__ textures,
+            const scalar_t* __restrict__ faces_info,
+            scalar_t* aggrs_info,
+            scalar_t* soft_colors,
+            int* faces_id_buffers,
+            scalar_t* points,
+            scalar_t* msk,
+            int batch_size,
+            int num_faces,
+            int image_size,
+            int max_faces_id,
+            int texture_size,
+            int texture_res,
+            float near,
+            float far,
+            float eps,
+            float sigma_val,
+            int func_id_dist,
+            float dist_eps,
+            float gamma_val,
+            int func_id_rgb,
+            int func_id_alpha,
+            int texture_sample_type,
+            int double_side) {
+
+        ////////////////////////
+        ////////////////////////
+
+        const int i = blockIdx.x * blockDim.x + threadIdx.x;
+        if (i >= batch_size * image_size * image_size) {
+            return;
+        }
+        const int is = image_size;
+        const int nf = num_faces;
+        const int bn = i / (is * is);
+        const int pn = i % (is * is);
+        const int yi = is - 1 - (pn / is);
+        const int xi = pn % is;
+        const scalar_t yp = (2. * yi + 1. - is) / is;
+        const scalar_t xp = (2. * xi + 1. - is) / is;
+        
+        points[(bn * 2 + 0) * (is * is) + pn] = xp;
+        points[(bn * 2 + 1) * (is * is) + pn] = yp;
+
+        const scalar_t *face = &faces[bn * nf * 9] - 9;
+        const scalar_t *texture = &textures[bn * nf * texture_size * 3] - texture_size * 3;
+        const scalar_t *face_info = &faces_info[bn * nf * 27] - 27;
+
+        const scalar_t threshold = dist_eps * sigma_val;
+
+        // Initialize pixel color
+        scalar_t soft_color[4] = {1., 1., 1., 0.};
+        if (func_id_alpha == 2) soft_color[3] = 1.;
+        scalar_t softmax_sum = exp(eps / gamma_val);
+        scalar_t softmax_max = eps;
+        for (int k = 0; k < 3; k++) {
+            if (func_id_rgb == 0) { // hard assign, set to background
+                soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn];
+            } else
+            if (func_id_rgb == 1) {
+                soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn] * softmax_sum; // initialize background color
+            }
+        }
+        scalar_t depth_min = 10000000;
+        int face_index_min = -1;
+        Pixel q[kMaxPointsPerPixel];
+        int q_size = 0;
+        float q_max_z = -1;
+        int q_max_id = -1;
+
+        for (int fn = 0; fn < nf; fn++) {
+            face += 9;
+            texture += texture_size * 3;
+            face_info += 27;
+
+            if (check_border(xp, yp, face, sqrt(threshold))) continue; // triangle too far away from pixel
+
+            scalar_t dis;
+            scalar_t dis_x;
+            scalar_t dis_y;
+            scalar_t t[3];
+            scalar_t w[3];
+            scalar_t w_clip[3];
+            scalar_t sign;
+            scalar_t soft_fragment;
+
+            // compute barycentric coordinate w
+            barycentric_coordinate(w, xp, yp, face_info);
+
+            // compute probability map based on distance functions
+            if (func_id_dist == 0) { // hard assign
+                soft_fragment = check_pixel_inside(w) ? 1. : 0.;
+                if (soft_fragment == 0.) continue; // ignore triangle outside of the pixel
+            } else
+            if (func_id_dist == 1) { // barycentric distance
+                forward_barycentric_p2f_distance(dis, w);
+                if (-dis >= threshold) continue; // ignore triangle far away from the pixel
+                soft_fragment = 1. / (1. + exp(-dis / sigma_val));
+            } else
+            if (func_id_dist == 2) { // euclidean distance
+                euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp);
+                dis = dis_x * dis_x + dis_y * dis_y;
+                if (sign < 0 && dis >= threshold) continue; // ignore triangle far away from the pixel
+                soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val));
+            }
+
+            /////////////////////////////////////////////////////
+
+            // aggragate for alpha channel
+            if (func_id_alpha == 0) { // hard assign
+                if (soft_fragment > 0.5) soft_color[3] = 1.;
+            } else
+            if (func_id_alpha == 1) { // Sum
+                soft_color[3] += soft_fragment;
+            } else 
+            if (func_id_alpha == 2) { // Logical-Or
+                soft_color[3] *= 1. - soft_fragment;
+            }
+            
+            /////////////////////////////////////////////////////
+
+            for (int k = 0; k < 3; k++) w_clip[k] = w[k];
+            barycentric_clip(w_clip);
+            const scalar_t zp = 1. / (w_clip[0] / face[2] + w_clip[1] / face[5] + w_clip[2] / face[8]);
+            if (zp < near || zp > far) continue; // triangle out of screen, pass
+
+///////////////////////////////////////////////////
+            // choose Topk  
+            if (q_size < max_faces_id){
+                q[q_size] = {fn,zp};
+                if (zp > q_max_z){
+                    q_max_z = zp;
+                    q_max_id = q_size;
+                }
+                q_size++;
+            } else if (zp < q_max_z){
+                q[q_max_id] = {fn,zp};
+                q_max_z = -1;
+                for(int k = 0; k < q_size; k++){
+                    if(q[k].z > q_max_z){
+                        q_max_z = q[k].z;
+                        q_max_id = k;
+                    }
+                }
+            }
+            
+
+            /////////////////////////////////////////////////////
+            if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))){
+                points[(bn * 2 + 0) * (is * is) + pn] = w_clip[0]*face[0] + w_clip[1]*face[3] + w_clip[2]*face[6];
+                points[(bn * 2 + 1) * (is * is) + pn] = w_clip[0]*face[1] + w_clip[1]*face[4] + w_clip[2]*face[7];
+                msk[(bn * 1 + 0) * (is * is) + pn] = 1.0;
+            }
+
+            // aggregate for rgb channels
+            if (func_id_rgb == 0) { // Hard assign
+                if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))) {
+                    depth_min = zp;
+                    face_index_min = fn;
+                    for (int k = 0; k < 3; k++) {
+                        soft_color[k] = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp);
+                    }
+                }
+            } else
+            if (func_id_rgb == 1) { // D * Softmax (Z)
+                if (check_face_frontside(face) || double_side) {
+                    const scalar_t zp_norm =  (far - zp) / (far - near);
+                    scalar_t exp_delta_zp = 1.;
+                    if (zp_norm > softmax_max) {
+                        exp_delta_zp = exp((softmax_max - zp_norm) / gamma_val);
+                        softmax_max = zp_norm;
+                    }
+                    const scalar_t exp_z = exp((zp_norm - softmax_max) / gamma_val);
+                    softmax_sum = exp_delta_zp * softmax_sum + exp_z * soft_fragment;
+                    for (int k = 0; k < 3; k++) {
+                        const scalar_t color_k = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp);
+                        soft_color[k] = exp_delta_zp * soft_color[k] + exp_z * soft_fragment * color_k;// * soft_fragment;
+                        if(isnan(color_k)){
+                            //printf("color_k: %f exp_z: %f soft_color: %f\\n",color_k,exp_z,soft_color[k]);
+                            //printf("%f %f %f\\n",w_clip[0],w_clip[1],w_clip[2]);
+                            //printf("zp: %f\\n",zp);
+                        }
+                    }
+                }
+            }
+
+        }
+
+        //////////////////////////////////////////////
+
+        // finalize aggregation
+        if (func_id_alpha == 0) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  soft_color[3];
+        } else
+        if (func_id_alpha == 1) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  soft_color[3] / nf;
+        } else 
+        if (func_id_alpha == 2) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  1. - soft_color[3];
+        }
+
+        if (func_id_rgb == 0) {
+            if (face_index_min != -1)
+                for (int k = 0; k < 3; k++) {
+                    soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k];
+                }
+            aggrs_info[(bn * 2 + 0) * (is * is) + pn] = depth_min;
+            aggrs_info[(bn * 2 + 1) * (is * is) + pn] = face_index_min;
+        } else
+        if (func_id_rgb == 1) {
+            for (int k = 0; k < 3; k++) {
+                soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k] / softmax_sum;
+                if(isnan(soft_color[k]))
+                printf("i: %d xi: %d yi: %d soft_color: %f\\n",i,xi,yi,soft_color[k]);
+            }
+            aggrs_info[(bn * 2 + 0) * (is * is) + pn] = softmax_sum;
+            aggrs_info[(bn * 2 + 1) * (is * is) + pn] = softmax_max;
+        }
+        for (int k = 0; k < q_size; k++) {
+            faces_id_buffers[(bn * max_faces_id + k) * (is * is) + pn] = q[k].id;
+        }
+    }
+}
+    ''',
+    cuda_src=f'''
+    @alias(faces, in0)
+    @alias(textures, in1)
+    @alias(faces_info, out0)
+    @alias(aggrs_info, out1)
+    @alias(soft_colors, out2)
+    @alias(faces_id_buffer, out3)
+    @alias(points, out4)
+    @alias(msk, out5)
+
+    cudaMemsetAsync(out0_p, 0, out0->size);
+    cudaMemsetAsync(out1_p, 0, out1->size);
+    cudaMemsetAsync(out2_p, 0, out2->size);
+    cudaMemsetAsync(out3_p, -1, out3->size);
+    cudaMemsetAsync(out4_p, 0, out4->size);
+    cudaMemsetAsync(out5_p, 0, out5->size);
+
+    const auto batch_size = faces_shape0;
+    const auto num_faces = faces_shape1;
+    const auto texture_size = textures_shape2;
+    const auto texture_res = int(sqrt(texture_size));
+    const auto max_faces_id = faces_id_buffer_shape1;
+    const int threads = 512;
+    const dim3 blocks_1 ((batch_size * num_faces - 1) / threads +1);
+
+    forward_soft_rasterize_inv_cuda_kernel<float32><<<blocks_1, threads>>>(
+        faces_p,
+        faces_info_p,
+        batch_size,
+        num_faces,
+        {image_size});
+
+    cudaError_t err = cudaGetLastError();
+    if (err != cudaSuccess) 
+            printf("Error in forward_transform_inv_triangle: %s\\n", cudaGetErrorString(err));
+
+    const dim3 blocks_2 ((batch_size * {image_size} * {image_size} - 1) / threads +1);
+
+    forward_soft_rasterize_cuda_kernel<float32><<<blocks_2, threads>>>(
+        faces_p,
+        textures_p,
+        faces_info_p,
+        aggrs_info_p,
+        soft_colors_p,
+        faces_id_buffer_p,
+        points_p,
+        msk_p,
+        batch_size,
+        num_faces,
+        {image_size},
+        max_faces_id,
+        texture_size,
+        texture_res,
+        {near},
+        {far},
+        {eps},
+        {sigma_val},
+        {func_id_dist},
+        {dist_eps},
+        {gamma_val},
+        {func_id_rgb},
+        {func_id_alpha},
+        {texture_sample_type},
+        {double_side});
+
+    err = cudaGetLastError();
+    if (err != cudaSuccess) 
+        printf("Error in forward_soft_rasterize: %s\\n", cudaGetErrorString(err));
+    ''')
+    
+def backward_DrL_rasterize(faces, textures, soft_colors, points, 
+    faces_info, aggrs_info,
+    grad_faces, grad_textures, grad_soft_colors, grad_points, 
+    image_size, near, far, eps,
+    sigma_val, func_id_dist, dist_eps,
+    gamma_val, func_id_rgb, func_id_alpha,
+    texture_sample_type, double_side):
+    return jt.code([grad_faces.shape, grad_textures.shape], [grad_faces.dtype, grad_textures.dtype], [faces, textures, soft_colors, points,
+    faces_info, aggrs_info, grad_soft_colors, grad_points],
+    cuda_header='''
+#include <cuda.h>
+#include <cuda_runtime.h>
+
+// for the older gpus atomicAdd with double arguments does not exist
+#if  __CUDA_ARCH__ < 600 and defined(__CUDA_ARCH__)
+static __inline__ __device__ double atomicAdd(double* address, double val) {
+    unsigned long long int* address_as_ull = (unsigned long long int*)address;
+    unsigned long long int old = *address_as_ull, assumed;
+    do {
+        assumed = old;
+        old = atomicCAS(address_as_ull, assumed,
+                __double_as_longlong(val + __longlong_as_double(assumed)));
+    // Note: uses integer comparison to avoid hang in case of NaN (since NaN != NaN) } while (assumed != old);
+    } while (assumed != old);
+    return __longlong_as_double(old);
+}
+#endif
+
+
+namespace{
+
+template <typename scalar_t>
+__device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) {
+    w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2];
+    w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2];
+    w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2];
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) {
+    return (x > max(max(face[0], face[3]), face[6]) + threshold ||
+            x < min(min(face[0], face[3]), face[6]) - threshold ||
+            y > max(max(face[1], face[4]), face[7]) + threshold ||
+            y < min(min(face[1], face[4]), face[7]) - threshold);
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_face_frontside(const scalar_t *face) {
+    return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]);
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) {
+    return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void barycentric_clip(scalar_t *w) {
+    for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.);
+    const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5);
+    for (int k = 0; k < 3; k++) w[k] /= w_sum;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y,
+                                                       scalar_t *w, scalar_t *t, 
+                                                       const scalar_t* face, const scalar_t *face_info,
+                                                       const scalar_t xp, const scalar_t yp) {
+    const scalar_t *face_sym = face_info + 9;
+    const scalar_t *face_obt = face_info + 18;
+
+    if (w[0] > 0 && w[1] > 0 && w[2] > 0 &&
+        w[0] < 1 && w[1] < 1 && w[2] < 1) {
+        // inside the triangle, w[0] + w[1] + w[2] = 0
+        scalar_t dis_min = 100000000;
+        scalar_t dis_x_min = 0;
+        scalar_t dis_y_min = 0;
+        scalar_t a0[3];
+        scalar_t t0[3];
+        for (int k = 0; k < 3; k++) {
+            int v0 = k;
+            int v1 = (k + 1) % 3;
+            int v2 = (k + 2) % 3;
+            a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+            a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+            a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+            t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+            t0[v1] = 1 - t0[v0];
+            t0[v2] = 0;
+
+            t0[0] -= w[0];
+            t0[1] -= w[1];
+            t0[2] -= w[2];
+
+            // calculate distance
+            dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6];
+            dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7];
+            scalar_t dis = dis_x * dis_x + dis_y * dis_y;
+
+            if (dis < dis_min) {
+                dis_min = dis;
+                dis_x_min = dis_x;
+                dis_y_min = dis_y;
+                t[0] = t0[0];
+                t[1] = t0[1];
+                t[2] = t0[2];
+            }
+        }
+        dis_x = dis_x_min;
+        dis_y = dis_y_min;
+        sign = 1;
+    } else {
+        int v0 = -1;
+
+        if (w[1] <= 0 && w[2] <= 0) {
+            v0 = 0;
+            if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2;
+        } else if (w[2] <= 0 && w[0] <= 0) {
+            v0 = 1;
+            if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0;
+        } else if (w[0] <= 0 && w[1] <= 0) {
+            v0 = 2;
+            if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1;
+        } else
+        if (w[0] <= 0) v0 = 1;
+        else if (w[1] <= 0) v0 = 2;
+        else if (w[2] <= 0) v0 = 0;
+
+        const int v1 = (v0 + 1) % 3;
+        const int v2 = (v0 + 2) % 3;
+
+        scalar_t a0[3];
+
+        a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+        a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+        a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+        t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+        t[v1] = 1 - t[v0];
+        t[v2] = 0;
+
+        // clamp to [0, 1]
+        for (int k = 0; k < 3; k++) {
+            t[k] = min(max(t[k], 0.), 1.);
+            t[k] -= w[k];
+        }
+
+        // calculate distance
+        dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6];
+        dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7];
+        sign = -1;
+    }
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) {
+    dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]);
+    dis = dis > 0 ? dis*dis : -dis*dis;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void backward_barycentric_p2f_distance(scalar_t grad_v[3][3], const scalar_t *w, const scalar_t *face_info, const scalar_t xp, const scalar_t yp, const scalar_t dis, const scalar_t C) {
+    const int p = w[0] > w[1] ? (w[1] > w[2] ? 2 : 1) : (w[0] > w[2] ? 2 : 0);
+    const scalar_t *face_inv = face_info;
+    for (int l = 0; l < 2; l++) {
+        for (int k = 0; k < 3; k++) {
+            scalar_t grad_kl = 0;
+            for (int q = 0; q < 3; q++) {
+                grad_kl += -face_inv[3*p+l] * face_inv[3*k+q] * (q == 0 ? xp : (q == 1 ? yp : 1));
+            }
+            grad_v[k][l] = grad_kl * C;
+            grad_v[k][l] *= dis > 0 ? (2. * sqrt(dis)) : (2. * sqrt(-dis));
+        }
+    }
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type) {
+    scalar_t texture_k;
+    if (texture_sample_type == 0) { // sample surface color with resolution as R
+        const int w_x = w[0] * R;
+        const int w_y = w[1] * R;
+        if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+            texture_k = texture[(w_y * R + w_x) * 3 + k];
+        } else {
+            texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k];
+        }
+    } else
+    if (texture_sample_type == 1) { // sample vertex color
+        texture_k = w[0] * texture[k] + w[1] * texture[3+k] + w[2] * texture[6+k];
+    }
+    return texture_k;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ scalar_t backward_sample_texture(const scalar_t grad_color, const scalar_t *w, const int R, const int k, const int texture_sample_type) {
+    scalar_t grad_texture_k;
+    if (texture_sample_type == 0) { // sample surface color with resolution as R
+        const int w_x = w[0] * R;
+        const int w_y = w[1] * R;
+        if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+            if (k == w_y * R + w_x) {
+                grad_texture_k = grad_color;
+            }
+        } else {
+            if (k == (R - 1 - w_y) * R + (R - 1 - w_x)) {
+                grad_texture_k = grad_color;
+            }
+        }
+    } else
+    if (texture_sample_type == 1) {
+        grad_texture_k = w[k] * grad_color;
+    }
+    return grad_texture_k;
+}
+
+
+template <typename scalar_t>
+__global__ void backward_soft_rasterize_cuda_kernel(
+        const scalar_t* __restrict__ faces,
+        const scalar_t* __restrict__ textures,
+        const scalar_t* __restrict__ soft_colors,
+        const scalar_t* __restrict__ points,
+        const scalar_t* __restrict__ faces_info,
+        const scalar_t* __restrict__ aggrs_info, // 0: sum, 1: max z*D
+        scalar_t* grad_faces,
+        scalar_t* grad_textures,
+        scalar_t* grad_soft_colors,
+        scalar_t* grad_points,
+        int batch_size,
+        int num_faces,
+        int image_size,
+        int texture_size,
+        int texture_res,
+        float near,
+        float far,
+        float eps,
+        float sigma_val,
+        int func_id_dist,
+        float dist_eps,
+        float gamma_val,
+        int func_id_rgb,
+        int func_id_alpha,
+        int texture_sample_type,
+        bool double_side) {
+
+    ////////////////////////
+    ////////////////////////
+
+    const int i = blockIdx.x * blockDim.x + threadIdx.x;
+    if (i >= batch_size * image_size * image_size) {
+        return;
+    }
+    const int is = image_size;
+    const int nf = num_faces;
+    const int bn = i / (is * is);
+    const int pn = i % (is * is);
+    const int yi = is - 1 - (pn / is);
+    const int xi = pn % is;
+    const scalar_t yp = (2. * yi + 1 - is) / is;
+    const scalar_t xp = (2. * xi + 1 - is) / is;
+
+    const scalar_t* face = &faces[bn * nf * 9] - 9;
+    const scalar_t* texture = &textures[bn * nf * texture_size * 3] - texture_size * 3;
+    const scalar_t* face_info = &faces_info[bn * nf * 27] - 27;
+
+    const scalar_t threshold = dist_eps * sigma_val;
+
+    const scalar_t softmax_sum = aggrs_info[(bn * 2 + 0) * (is * is) + pn];
+    const scalar_t softmax_max = aggrs_info[(bn * 2 + 1) * (is * is) + pn];
+
+    for (int fn = 0; fn < nf; fn++) {
+        face += 9;
+        texture += texture_size * 3;
+        face_info += 27;
+
+        if (check_border(xp, yp, face, sqrt(threshold))) continue;
+
+        scalar_t dis;
+        scalar_t dis_x;
+        scalar_t dis_y;
+        scalar_t t[3];
+        scalar_t w[3];
+        scalar_t w0[3];
+        scalar_t sign;
+        scalar_t soft_fragment;
+
+        barycentric_coordinate(w, xp, yp, face_info);
+
+        // compute probability map based on distance functions
+        if (func_id_dist == 0) { // hard assign
+            soft_fragment = check_pixel_inside(w) ? 1. : 0.;
+            if (soft_fragment == 0.) continue; // ???
+        } else
+        if (func_id_dist == 1) { // barycentric distance
+            forward_barycentric_p2f_distance(dis, w);
+            for (int k = 0; k < 3; k++) t[k] = w[k];
+            if (-dis >= threshold) continue; // ignore triangle far away from the pixel
+            soft_fragment = 1. / (1. + exp(-dis / sigma_val));
+        } else
+        if (func_id_dist == 2) { // euclidean distance
+            euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp);
+            dis = dis_x * dis_x + dis_y * dis_y;
+            if (sign < 0 && dis >= threshold) continue; // ignore triangle too far away from the pixel
+            soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val));
+        }
+
+
+        scalar_t* grad_face = &grad_faces[(bn * nf + fn) * 9];
+        scalar_t* grad_texture = &grad_textures[(bn * nf + fn) * texture_size * 3];
+        scalar_t grad_v[3][3] = {0};
+        scalar_t C_grad_xy = 0;
+
+        /////////////////////////////////////////////////////
+
+        // aggragate for alpha channel
+        scalar_t C_grad_xy_alpha = grad_soft_colors[(bn * 4 + 3) * (is * is) + pn];
+        if (func_id_alpha == 0) { // hard assign
+            // hard assign alpha channels does not have gradient
+        } else
+        if (func_id_alpha == 1) { // Sum
+            C_grad_xy_alpha /= nf;
+        } else 
+        if (func_id_alpha == 2) { // Logical-Or
+            C_grad_xy_alpha *= (1 - soft_colors[(bn * 4 + 3) * (is * is) + pn]) / max(1 - soft_fragment, 1e-6);
+        }
+        C_grad_xy += C_grad_xy_alpha;
+
+        /////////////////////////////////////////////////////
+        for (int k = 0; k < 3; k++) w0[k] = w[k];
+        barycentric_clip(w);
+        const scalar_t zp = 1. / (w[0] / face[2] + w[1] / face[5] + w[2] / face[8]);
+        if (zp < near || zp > far) continue; // triangle out of screen, pass
+
+        // aggregate for rgb channels
+        if (func_id_rgb == 0) { // Hard assign, no gradient to xyz
+            if (fn == softmax_max) {
+                for (int k = 0; k < 3; k++) {
+                    for (int j = 0; j < texture_size; j++) {
+                        atomicAdd(&grad_texture[3 * j + k], backward_sample_texture(grad_soft_colors[(bn * 4 + k) * (is * is) + pn], w, texture_res, j, texture_sample_type));
+                    }
+                }
+            }
+        } else
+        if (func_id_rgb == 1 && (check_face_frontside(face) || double_side)) { // Softmax (Z * D)
+            scalar_t C_grad_xyz_rgb = 0.;
+
+            const scalar_t zp_norm = (far - zp) / (far - near);
+            const scalar_t zp_softmax = soft_fragment * exp((zp_norm - softmax_max) / gamma_val) / softmax_sum;
+
+            for (int k = 0; k < 3; k++) {
+                const scalar_t grad_soft_color_k = grad_soft_colors[(bn * 4 + k) * (is * is) + pn];
+
+                for (int j = 0; j < texture_size; j++) {
+                    const scalar_t grad_t = backward_sample_texture(grad_soft_color_k, w, texture_res, j, texture_sample_type);
+                    atomicAdd(&grad_texture[3 * j + k], zp_softmax * grad_t);
+                }
+
+                const scalar_t color_k = forward_sample_texture(texture, w, texture_res, k, texture_sample_type);
+                C_grad_xyz_rgb += grad_soft_color_k * (color_k - soft_colors[(bn * 4 + k) * (is * is) + pn]);
+            }
+            C_grad_xyz_rgb *= zp_softmax;
+            C_grad_xy += C_grad_xyz_rgb / soft_fragment;
+
+            const scalar_t C_grad_z_rgb = C_grad_xyz_rgb / gamma_val / (near - far) * zp * zp;
+            grad_v[0][2] = C_grad_z_rgb * w[0] / face[2] / face[2];
+            grad_v[1][2] = C_grad_z_rgb * w[1] / face[5] / face[5];
+            grad_v[2][2] = C_grad_z_rgb * w[2] / face[8] / face[8];
+        }
+
+        /////////////////////////////////////////////////////
+
+        C_grad_xy *= soft_fragment * (1 - soft_fragment) / sigma_val; // sigmoid gradient
+        // compute probability map gradient based on distance functions
+        if (func_id_dist == 1) { // barycentric distance
+            backward_barycentric_p2f_distance(grad_v, t, face_info, xp, yp, dis, C_grad_xy);
+        } else
+        if (func_id_dist == 2) { // euclidean distance
+            for (int k = 0; k < 3; k++) {
+                for (int l = 0; l < 2; l++) {
+                    grad_v[k][l] = 2 * sign * C_grad_xy * (t[k] + w0[k]) * (l == 0 ? dis_x : dis_y);
+                }
+            }
+        }
+        
+        const scalar_t grad_px = grad_points[(bn * 2 + 0) * (is * is) + pn];
+        const scalar_t grad_py = grad_points[(bn * 2 + 1) * (is * is) + pn];
+
+        grad_v[0][0] += grad_px*w[0] / face[2] / face[2];
+        grad_v[0][1] += grad_py*w[0] / face[2] / face[2];
+        grad_v[1][0] += grad_px*w[1] / face[5] / face[5];
+        grad_v[1][1] += grad_py*w[1] / face[5] / face[5];
+        grad_v[2][0] += grad_px*w[2] / face[8] / face[8];
+        grad_v[2][1] += grad_py*w[2] / face[8] / face[8];
+
+        atomicAdd(&grad_face[0], grad_v[0][0]);
+        atomicAdd(&grad_face[1], grad_v[0][1]);
+        atomicAdd(&grad_face[3], grad_v[1][0]);
+        atomicAdd(&grad_face[4], grad_v[1][1]);
+        atomicAdd(&grad_face[6], grad_v[2][0]);
+        atomicAdd(&grad_face[7], grad_v[2][1]);
+
+        atomicAdd(&grad_face[2], grad_v[0][2]);
+        atomicAdd(&grad_face[5], grad_v[1][2]);
+        atomicAdd(&grad_face[8], grad_v[2][2]);
+    }
+}
+}
+    ''',
+    cuda_src=f'''
+    @alias(faces, in0)
+    @alias(textures, in1)
+    @alias(soft_colors, in2)
+    @alias(points, in3)
+    @alias(faces_info, in4)
+    @alias(aggrs_info, in5)
+    @alias(grad_soft_colors, in6)
+    @alias(grad_points, in7)
+    @alias(grad_faces, out0)
+    @alias(grad_textures, out1)
+
+    cudaMemsetAsync(out0_p, 0, out0->size);
+    cudaMemsetAsync(out1_p, 0, out1->size);
+
+    const auto batch_size = faces_shape0;
+    const auto num_faces = faces_shape1;
+    const auto texture_size = textures_shape2;
+    const auto texture_res = int(sqrt(texture_size));
+    const int threads = 512;
+    const dim3 blocks ((batch_size * {image_size} * {image_size} - 1) / threads + 1);
+
+    backward_soft_rasterize_cuda_kernel<float32><<<blocks, threads>>>(
+        faces_p,
+        textures_p,
+        soft_colors_p,
+        points_p,
+        faces_info_p,
+        aggrs_info_p,
+        grad_faces_p,
+        grad_textures_p,
+        grad_soft_colors_p,
+        grad_points_p,
+        batch_size,
+        num_faces,
+        {image_size},
+        texture_size,
+        texture_res,
+        {near},
+        {far},
+        {eps},
+        {sigma_val},
+        {func_id_dist},
+        {dist_eps},
+        {gamma_val},
+        {func_id_rgb},
+        {func_id_alpha},
+        {texture_sample_type},
+        {double_side});
+
+    cudaError_t err = cudaGetLastError();
+    if (err != cudaSuccess) 
+        printf("Error in backward_soft_rasterize: %s", cudaGetErrorString(err));
+    ''')
\ No newline at end of file
diff --git a/jrender/renderer/dr/dr_l/rasterizer.py b/jrender/renderer/dr/dr_l/rasterizer.py
new file mode 100755
index 0000000..f8456f1
--- /dev/null
+++ b/jrender/renderer/dr/dr_l/rasterizer.py
@@ -0,0 +1,57 @@
+
+import numpy as np
+import jittor as jt
+from jittor import nn
+
+from .DrL_rasterize import *
+
+class DrL_Rasterizer(nn.Module):
+    def __init__(self, image_size=256, background_color=[0, 0, 0], near=1, far=100, 
+                 anti_aliasing=False, fill_back=False, eps=1e-3, 
+                 sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4,
+                 gamma_val=1e-4, aggr_func_rgb='softmax', aggr_func_alpha='prod',
+                 texture_type='surface',
+                 bin_size = 0, max_elems_per_bin = 0, max_faces_per_pixel_for_grad=16):
+        super(DrL_Rasterizer, self).__init__()
+
+        if dist_func not in ['hard', 'euclidean', 'barycentric']:
+            raise ValueError('Distance function only support hard, euclidean and barycentric')
+        if aggr_func_rgb not in ['hard', 'softmax']:
+            raise ValueError('Aggregate function(rgb) only support hard and softmax')
+        if aggr_func_alpha not in ['hard', 'prod', 'sum']:
+            raise ValueError('Aggregate function(a) only support hard, prod and sum')
+        if texture_type not in ['surface', 'vertex']:
+            raise ValueError('Texture type only support surface and vertex')
+
+        self.image_size = image_size
+        self.background_color = background_color
+        self.near = near
+        self.far = far
+        self.anti_aliasing = anti_aliasing
+        self.eps = eps
+        self.fill_back = fill_back
+        self.sigma_val = sigma_val
+        self.dist_func = dist_func
+        self.dist_eps = dist_eps
+        self.gamma_val = gamma_val
+        self.aggr_func_rgb = aggr_func_rgb
+        self.aggr_func_alpha = aggr_func_alpha
+        self.texture_type = texture_type
+        
+        self.bin_size = bin_size
+        self.max_elems_per_bin = max_elems_per_bin
+        self.max_faces_per_pixel_for_grad = max_faces_per_pixel_for_grad
+
+    def execute(self, mesh, mode=None):
+        image_size = self.image_size * (2 if self.anti_aliasing else 1)
+        images, points, msks = DrL_rasterize(mesh.face_vertices, mesh.face_textures, image_size, 
+                                    self.background_color, self.near, self.far, 
+                                    self.fill_back, self.eps,
+                                    self.sigma_val, self.dist_func, self.dist_eps,
+                                    self.gamma_val, self.aggr_func_rgb, self.aggr_func_alpha,
+                                    self.texture_type, self.bin_size, self.max_elems_per_bin,
+                                    self.max_faces_per_pixel_for_grad)
+
+        if self.anti_aliasing:
+            images = nn.pool(images, 2, "mean", stride=2)
+        return images,points,msks
\ No newline at end of file
diff --git a/jrender/renderer/dr/n3mr/__init__.py b/jrender/renderer/dr/n3mr/__init__.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/n3mr/cuda/rasterize.py b/jrender/renderer/dr/n3mr/cuda/rasterize.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/n3mr/n3mr.py b/jrender/renderer/dr/n3mr/n3mr.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/n3mr/rasterizer.py b/jrender/renderer/dr/n3mr/rasterizer.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/softras/__init__.py b/jrender/renderer/dr/softras/__init__.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/softras/cuda/__init__.py b/jrender/renderer/dr/softras/cuda/__init__.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/softras/cuda/soft_rasterize.py b/jrender/renderer/dr/softras/cuda/soft_rasterize.py
old mode 100644
new mode 100755
index c83bd05..228ed25
--- a/jrender/renderer/dr/softras/cuda/soft_rasterize.py
+++ b/jrender/renderer/dr/softras/cuda/soft_rasterize.py
@@ -1,3 +1,978 @@
+<<<<<<< HEAD
+import jittor as jt
+
+def forward_soft_rasterize(face_vertices, textures,
+    faces_info, aggrs_info,
+    soft_colors, faces_id_buffer,
+    image_size, near, far, eps,
+    sigma_val, func_id_dist, dist_eps,
+    gamma_val, func_id_rgb, func_id_alpha,
+    texture_sample_type, double_side):
+    return jt.code([faces_info.shape, aggrs_info.shape, soft_colors.shape, faces_id_buffer.shape], [faces_info.dtype, aggrs_info.dtype, soft_colors.dtype, faces_id_buffer.dtype],
+    [face_vertices, textures],
+    cuda_header='''
+    #include <cuda.h>
+    #include <cuda_runtime.h>
+
+#define kMaxPointsPerPixel 64
+
+namespace{
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) {
+        w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2];
+        w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2];
+        w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2];
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) {
+        return (x > max(max(face[0], face[3]), face[6]) + threshold ||
+                x < min(min(face[0], face[3]), face[6]) - threshold ||
+                y > max(max(face[1], face[4]), face[7]) + threshold ||
+                y < min(min(face[1], face[4]), face[7]) - threshold);
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_face_frontside(const scalar_t *face) {
+        return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]);
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) {
+        return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0;
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void barycentric_clip(scalar_t *w) {
+        for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.);
+        const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5);
+        for (int k = 0; k < 3; k++) w[k] /= w_sum;
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y,
+                                                        scalar_t *w, scalar_t *t, 
+                                                        const scalar_t* face, const scalar_t *face_info,
+                                                        const scalar_t xp, const scalar_t yp) {
+        const scalar_t *face_sym = face_info + 9;
+        const scalar_t *face_obt = face_info + 18;
+
+        if (w[0] > 0 && w[1] > 0 && w[2] > 0 &&
+            w[0] < 1 && w[1] < 1 && w[2] < 1) {
+            // inside the triangle, w[0] + w[1] + w[2] = 0
+            scalar_t dis_min = 100000000;
+            scalar_t dis_x_min = 0;
+            scalar_t dis_y_min = 0;
+            scalar_t a0[3];
+            scalar_t t0[3];
+            for (int k = 0; k < 3; k++) {
+                int v0 = k;
+                int v1 = (k + 1) % 3;
+                int v2 = (k + 2) % 3;
+                a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+                a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+                a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+                t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+                t0[v1] = 1 - t0[v0];
+                t0[v2] = 0;
+
+                t0[0] -= w[0];
+                t0[1] -= w[1];
+                t0[2] -= w[2];
+
+                // calculate distance
+                dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6];
+                dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7];
+                scalar_t dis = dis_x * dis_x + dis_y * dis_y;
+
+                if (dis < dis_min) {
+                    dis_min = dis;
+                    dis_x_min = dis_x;
+                    dis_y_min = dis_y;
+                    t[0] = t0[0];
+                    t[1] = t0[1];
+                    t[2] = t0[2];
+                }
+            }
+            dis_x = dis_x_min;
+            dis_y = dis_y_min;
+            sign = 1;
+        } else {
+            int v0 = -1;
+
+            if (w[1] <= 0 && w[2] <= 0) {
+                v0 = 0;
+                if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2;
+            } else if (w[2] <= 0 && w[0] <= 0) {
+                v0 = 1;
+                if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0;
+            } else if (w[0] <= 0 && w[1] <= 0) {
+                v0 = 2;
+                if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1;
+            } else
+            if (w[0] <= 0) v0 = 1;
+            else if (w[1] <= 0) v0 = 2;
+            else if (w[2] <= 0) v0 = 0;
+
+            const int v1 = (v0 + 1) % 3;
+            const int v2 = (v0 + 2) % 3;
+
+            scalar_t a0[3];
+
+            a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+            a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+            a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+            t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+            t[v1] = 1 - t[v0];
+            t[v2] = 0;
+
+            // clamp to [0, 1]
+            for (int k = 0; k < 3; k++) {
+                t[k] = min(max(t[k], 0.), 1.);
+                t[k] -= w[k];
+            }
+
+            // calculate distance
+            dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6];
+            dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7];
+            sign = -1;
+        }
+    }
+
+
+    template <typename scalar_t>
+    __device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) {
+        dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]);
+        dis = dis > 0 ? dis*dis : -dis*dis;
+    }
+
+    template <typename scalar_t>
+    __device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type, const scalar_t* face, const scalar_t z) {
+        scalar_t texture_k;
+        if (texture_sample_type == 0) { // sample surface color with resolution as R
+            const int w_x = min(w[0] * R, float(R-1));
+            const int w_y = min(w[1] * R, float(R-1));
+            if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+                texture_k = texture[(w_y * R + w_x) * 3 + k];
+            } else {
+                texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k];
+            }
+        } else
+        if (texture_sample_type == 1) { // sample vertex color
+            texture_k = w[0] * texture[k] / face[2] + w[1] * texture[3 + k] / face[5] + w[2] * texture[6 + k] / face[8];
+            texture_k *= z;
+        }
+        return texture_k;
+    }
+
+    // triangle preprocessing
+    template <typename scalar_t>
+    __global__ void forward_soft_rasterize_inv_cuda_kernel(
+            const scalar_t* __restrict__ faces,
+            scalar_t* faces_info,
+            int batch_size,
+            int num_faces,
+            int image_size) {
+        /* batch number, face, number, image size, face[v012][RGB] */
+        const int i = blockIdx.x * blockDim.x + threadIdx.x;
+        if (i >= batch_size * num_faces) {
+            return;
+        }
+        // const int is = image_size;
+        const scalar_t* face = &faces[i * 9];
+        scalar_t* face_inv = &faces_info[i * 27];
+        scalar_t* face_sym = &faces_info[i * 27+9];
+        scalar_t* face_obt = &faces_info[i * 27+18];
+
+        /* return if backside */
+        // if ((face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]))
+            // return;
+        /* p[num][xy]: x, y is (-1, 1). */
+        scalar_t p[3][2];
+        for (int num = 0; num < 3; num++) {
+            for (int dim = 0; dim < 2; dim++) {
+                p[num][dim] = face[3 * num + dim]; // no normalize
+            }
+        }
+        /* compute face_inv */
+        scalar_t face_inv_star[9] = {
+            p[1][1] - p[2][1], p[2][0] - p[1][0], p[1][0] * p[2][1] - p[2][0] * p[1][1],
+            p[2][1] - p[0][1], p[0][0] - p[2][0], p[2][0] * p[0][1] - p[0][0] * p[2][1],
+            p[0][1] - p[1][1], p[1][0] - p[0][0], p[0][0] * p[1][1] - p[1][0] * p[0][1]};
+        scalar_t face_inv_determinant = (
+            p[2][0] * (p[0][1] - p[1][1]) +
+            p[0][0] * (p[1][1] - p[2][1]) +
+            p[1][0] * (p[2][1] - p[0][1]));
+        face_inv_determinant = face_inv_determinant > 0 ? max(face_inv_determinant, 1e-10) : min(face_inv_determinant, -1e-10);
+        /* set to global memory */
+        for (int k = 0; k < 9; k++) {
+            face_inv[k] = face_inv_star[k] / face_inv_determinant;
+        }
+        /* F * F.T */
+        for (int j = 0; j < 3; j++) {
+            for (int k = 0; k < 3; k++) {
+                face_sym[j * 3 + k] = face[j * 3 + 0] * face[k * 3 + 0] +
+                                    face[j * 3 + 1] * face[k * 3 + 1] + 
+                                    1;
+            }
+        }
+        /* check if one arc is obt arc */
+        for (int k = 0; k < 3; k++) {
+            const int k0 = k;
+            const int k1 = (k + 1) % 3;
+            const int k2 = (k + 2) % 3;
+            if ((p[k1][0] - p[k0][0]) * (p[k2][0] - p[k0][0]) + (p[k1][1] - p[k0][1]) * (p[k2][1] - p[k0][1]) < 0) {
+                face_obt[k0] = 1;
+                break;
+            }
+        }
+    }
+
+    struct Pixel{
+        int id;
+        float z;
+    };
+
+    template <typename scalar_t>
+    __global__ void forward_soft_rasterize_cuda_kernel(
+            const scalar_t* __restrict__ faces,
+            const scalar_t* __restrict__ textures,
+            const scalar_t* __restrict__ faces_info,
+            scalar_t* aggrs_info,
+            scalar_t* soft_colors,
+            int* faces_id_buffers,
+            int batch_size,
+            int num_faces,
+            int image_size,
+            int max_faces_id,
+            int texture_size,
+            int texture_res,
+            float near,
+            float far,
+            float eps,
+            float sigma_val,
+            int func_id_dist,
+            float dist_eps,
+            float gamma_val,
+            int func_id_rgb,
+            int func_id_alpha,
+            int texture_sample_type,
+            int double_side) {
+
+        ////////////////////////
+        ////////////////////////
+
+        const int i = blockIdx.x * blockDim.x + threadIdx.x;
+        if (i >= batch_size * image_size * image_size) {
+            return;
+        }
+        const int is = image_size;
+        const int nf = num_faces;
+        const int bn = i / (is * is);
+        const int pn = i % (is * is);
+        const int yi = is - 1 - (pn / is);
+        const int xi = pn % is;
+        const scalar_t yp = (2. * yi + 1. - is) / is;
+        const scalar_t xp = (2. * xi + 1. - is) / is;
+
+        const scalar_t *face = &faces[bn * nf * 9] - 9;
+        const scalar_t *texture = &textures[bn * nf * texture_size * 3] - texture_size * 3;
+        const scalar_t *face_info = &faces_info[bn * nf * 27] - 27;
+
+        const scalar_t threshold = dist_eps * sigma_val;
+
+        // Initialize pixel color
+        scalar_t soft_color[4] = {1., 1., 1., 0.};
+        if (func_id_alpha == 2) soft_color[3] = 1.;
+        scalar_t softmax_sum = exp(eps / gamma_val);
+        scalar_t softmax_max = eps;
+        for (int k = 0; k < 3; k++) {
+            if (func_id_rgb == 0) { // hard assign, set to background
+                soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn];
+            } else
+            if (func_id_rgb == 1) {
+                soft_color[k] = soft_colors[(bn * 4 + k) * (is * is) + pn] * softmax_sum; // initialize background color
+            }
+        }
+        scalar_t depth_min = 10000000;
+        int face_index_min = -1;
+        Pixel q[kMaxPointsPerPixel];
+        int q_size = 0;
+        float q_max_z = -1;
+        int q_max_id = -1;
+
+        for (int fn = 0; fn < nf; fn++) {
+            face += 9;
+            texture += texture_size * 3;
+            face_info += 27;
+
+            if (check_border(xp, yp, face, sqrt(threshold))) continue; // triangle too far away from pixel
+
+            scalar_t dis;
+            scalar_t dis_x;
+            scalar_t dis_y;
+            scalar_t t[3];
+            scalar_t w[3];
+            scalar_t w_clip[3];
+            scalar_t sign;
+            scalar_t soft_fragment;
+
+            // compute barycentric coordinate w
+            barycentric_coordinate(w, xp, yp, face_info);
+
+            // compute probability map based on distance functions
+            if (func_id_dist == 0) { // hard assign
+                soft_fragment = check_pixel_inside(w) ? 1. : 0.;
+                if (soft_fragment == 0.) continue; // ignore triangle outside of the pixel
+            } else
+            if (func_id_dist == 1) { // barycentric distance
+                forward_barycentric_p2f_distance(dis, w);
+                if (-dis >= threshold) continue; // ignore triangle far away from the pixel
+                soft_fragment = 1. / (1. + exp(-dis / sigma_val));
+            } else
+            if (func_id_dist == 2) { // euclidean distance
+                euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp);
+                dis = dis_x * dis_x + dis_y * dis_y;
+                if (sign < 0 && dis >= threshold) continue; // ignore triangle far away from the pixel
+                soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val));
+            }
+
+            /////////////////////////////////////////////////////
+
+            // aggragate for alpha channel
+            if (func_id_alpha == 0) { // hard assign
+                if (soft_fragment > 0.5) soft_color[3] = 1.;
+            } else
+            if (func_id_alpha == 1) { // Sum
+                soft_color[3] += soft_fragment;
+            } else 
+            if (func_id_alpha == 2) { // Logical-Or
+                soft_color[3] *= 1. - soft_fragment;
+            }
+
+            /////////////////////////////////////////////////////
+
+            for (int k = 0; k < 3; k++) w_clip[k] = w[k];
+            barycentric_clip(w_clip);
+            const scalar_t zp = 1. / (w_clip[0] / face[2] + w_clip[1] / face[5] + w_clip[2] / face[8]);
+            if (zp < near || zp > far) continue; // triangle out of screen, pass
+            
+            ///////////////////////////////////////////////////
+            // choose Topk  
+            if (q_size < max_faces_id){
+                q[q_size] = {fn,zp};
+                if (zp > q_max_z){
+                    q_max_z = zp;
+                    q_max_id = q_size;
+                }
+                q_size++;
+            } else if (zp < q_max_z){
+                q[q_max_id] = {fn,zp};
+                q_max_z = -1;
+                for(int k = 0; k < q_size; k++){
+                    if(q[k].z > q_max_z){
+                        q_max_z = q[k].z;
+                        q_max_id = k;
+                    }
+                }
+            }
+            
+
+            /////////////////////////////////////////////////////
+            // aggregate for rgb channels
+            if (func_id_rgb == 0) { // Hard assign
+                if (zp < depth_min && check_pixel_inside(w) && (double_side || check_face_frontside(face))) {
+                    depth_min = zp;
+                    face_index_min = fn;
+                    for (int k = 0; k < 3; k++) {
+                        soft_color[k] = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp);
+                    }
+                }
+            } else
+            if (func_id_rgb == 1) { // D * Softmax (Z)
+                if (check_face_frontside(face) || double_side) {
+                    const scalar_t zp_norm =  (far - zp) / (far - near);
+                    scalar_t exp_delta_zp = 1.;
+                    if (zp_norm > softmax_max) {
+                        exp_delta_zp = exp((softmax_max - zp_norm) / gamma_val);
+                        softmax_max = zp_norm;
+                    }
+                    const scalar_t exp_z = exp((zp_norm - softmax_max) / gamma_val);
+                    softmax_sum = exp_delta_zp * softmax_sum + exp_z * soft_fragment;
+                    for (int k = 0; k < 3; k++) {
+                        const scalar_t color_k = forward_sample_texture(texture, w_clip, texture_res, k, texture_sample_type, face, zp);
+                        soft_color[k] = exp_delta_zp * soft_color[k] + exp_z * soft_fragment * color_k;// * soft_fragment;
+                        if(isnan(color_k)){
+                            //printf("color_k: %f exp_z: %f soft_color: %f\\n",color_k,exp_z,soft_color[k]);
+                            //printf("%f %f %f\\n",w_clip[0],w_clip[1],w_clip[2]);
+                            //printf("zp: %f\\n",zp);
+                        }
+                    }
+                }
+            }
+            
+        }
+
+        //////////////////////////////////////////////
+
+        // finalize aggregation
+        if (func_id_alpha == 0) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  soft_color[3];
+        } else
+        if (func_id_alpha == 1) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  soft_color[3] / nf;
+        } else 
+        if (func_id_alpha == 2) {
+            soft_colors[(bn * 4 + 3) * (is * is) + pn] =  1. - soft_color[3];
+        }
+
+        if (func_id_rgb == 0) {
+            if (face_index_min != -1)
+                for (int k = 0; k < 3; k++) {
+                    soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k];
+                }
+            aggrs_info[(bn * 2 + 0) * (is * is) + pn] = depth_min;
+            aggrs_info[(bn * 2 + 1) * (is * is) + pn] = face_index_min;
+        } else
+        if (func_id_rgb == 1) {
+            for (int k = 0; k < 3; k++) {
+                soft_colors[(bn * 4 + k) * (is * is) + pn] = soft_color[k] / softmax_sum;
+                if(isnan(soft_color[k]))
+                printf("i: %d xi: %d yi: %d soft_color: %f\\n",i,xi,yi,soft_color[k]);
+            }
+            aggrs_info[(bn * 2 + 0) * (is * is) + pn] = softmax_sum;
+            aggrs_info[(bn * 2 + 1) * (is * is) + pn] = softmax_max;
+        }
+        for (int k = 0; k < q_size; k++) {
+            faces_id_buffers[(bn * max_faces_id + k) * (is * is) + pn] = q[k].id;
+        }
+    }
+}
+    ''',
+    cuda_src=f'''
+    @alias(faces, in0)
+    @alias(textures, in1)
+    @alias(faces_info, out0)
+    @alias(aggrs_info, out1)
+    @alias(soft_colors, out2)
+    @alias(faces_id_buffer, out3)
+
+    cudaMemsetAsync(out0_p, 0, out0->size);
+    cudaMemsetAsync(out1_p, 0, out1->size);
+    cudaMemsetAsync(out2_p, 0, out2->size);
+    cudaMemsetAsync(out3_p, -1, out3->size);
+
+    const auto batch_size = faces_shape0;
+    const auto num_faces = faces_shape1;
+    const auto texture_size = textures_shape2;
+    const auto texture_res = int(sqrt(texture_size));
+    const auto max_faces_id = faces_id_buffer_shape1;
+    const int threads = 512;
+    const dim3 blocks_1 ((batch_size * num_faces - 1) / threads +1);
+
+    forward_soft_rasterize_inv_cuda_kernel<float32><<<blocks_1, threads>>>(
+        faces_p,
+        faces_info_p,
+        batch_size,
+        num_faces,
+        {image_size});
+
+    cudaError_t err = cudaGetLastError();
+    if (err != cudaSuccess) 
+            printf("Error in forward_transform_inv_triangle: %s\\n", cudaGetErrorString(err));
+
+    const dim3 blocks_2 ((batch_size * {image_size} * {image_size} - 1) / threads +1);
+
+    forward_soft_rasterize_cuda_kernel<float32><<<blocks_2, threads>>>(
+        faces_p,
+        textures_p,
+        faces_info_p,
+        aggrs_info_p,
+        soft_colors_p,
+        faces_id_buffer_p,
+        batch_size,
+        num_faces,
+        {image_size},
+        max_faces_id,
+        texture_size,
+        texture_res,
+        {near},
+        {far},
+        {eps},
+        {sigma_val},
+        {func_id_dist},
+        {dist_eps},
+        {gamma_val},
+        {func_id_rgb},
+        {func_id_alpha},
+        {texture_sample_type},
+        {double_side});
+
+    err = cudaGetLastError();
+    if (err != cudaSuccess) 
+        printf("Error in forward_soft_rasterize: %s\\n", cudaGetErrorString(err));
+    ''')
+
+def backward_soft_rasterize(faces, textures, soft_colors, 
+    faces_info, aggrs_info, faces_id_buffer,
+    grad_faces, grad_textures, grad_soft_colors, 
+    image_size, near, far, eps,
+    sigma_val, func_id_dist, dist_eps,
+    gamma_val, func_id_rgb, func_id_alpha,
+    texture_sample_type, double_side):
+    return jt.code([grad_faces.shape, grad_textures.shape], [grad_faces.dtype, grad_textures.dtype], [faces, textures, soft_colors, 
+    faces_info, aggrs_info, grad_soft_colors, faces_id_buffer],
+    cuda_header='''
+#include <cuda.h>
+#include <cuda_runtime.h>
+
+namespace{
+
+template <typename scalar_t>
+__device__ __forceinline__ void barycentric_coordinate(scalar_t *w, const scalar_t x, const scalar_t y, const scalar_t *face_info) {
+    w[0] = face_info[3 * 0 + 0] * x + face_info[3 * 0 + 1] * y + face_info[3 * 0 + 2];
+    w[1] = face_info[3 * 1 + 0] * x + face_info[3 * 1 + 1] * y + face_info[3 * 1 + 2];
+    w[2] = face_info[3 * 2 + 0] * x + face_info[3 * 2 + 1] * y + face_info[3 * 2 + 2];
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_border(const scalar_t x, const scalar_t y, const scalar_t *face, const scalar_t threshold) {
+    return (x > max(max(face[0], face[3]), face[6]) + threshold ||
+            x < min(min(face[0], face[3]), face[6]) - threshold ||
+            y > max(max(face[1], face[4]), face[7]) + threshold ||
+            y < min(min(face[1], face[4]), face[7]) - threshold);
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_face_frontside(const scalar_t *face) {
+    return (face[7] - face[1]) * (face[3] - face[0]) < (face[4] - face[1]) * (face[6] - face[0]);
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ bool check_pixel_inside(const scalar_t *w) {
+    return w[0] <= 1 && w[0] >= 0 && w[1] <= 1 && w[1] >= 0 && w[2] <= 1 && w[2] >= 0;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void barycentric_clip(scalar_t *w) {
+    for (int k = 0; k < 3; k++) w[k] = max(min(w[k], 1.), 0.);
+    const scalar_t w_sum = max(w[0] + w[1] + w[2], 1e-5);
+    for (int k = 0; k < 3; k++) w[k] /= w_sum;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void euclidean_p2f_distance(scalar_t &sign, scalar_t &dis_x, scalar_t &dis_y,
+                                                       scalar_t *w, scalar_t *t, 
+                                                       const scalar_t* face, const scalar_t *face_info,
+                                                       const scalar_t xp, const scalar_t yp) {
+    const scalar_t *face_sym = face_info + 9;
+    const scalar_t *face_obt = face_info + 18;
+
+    if (w[0] > 0 && w[1] > 0 && w[2] > 0 &&
+        w[0] < 1 && w[1] < 1 && w[2] < 1) {
+        // inside the triangle, w[0] + w[1] + w[2] = 0
+        scalar_t dis_min = 100000000;
+        scalar_t dis_x_min = 0;
+        scalar_t dis_y_min = 0;
+        scalar_t a0[3];
+        scalar_t t0[3];
+        for (int k = 0; k < 3; k++) {
+            int v0 = k;
+            int v1 = (k + 1) % 3;
+            int v2 = (k + 2) % 3;
+            a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+            a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+            a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+            t0[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+            t0[v1] = 1 - t0[v0];
+            t0[v2] = 0;
+
+            t0[0] -= w[0];
+            t0[1] -= w[1];
+            t0[2] -= w[2];
+
+            // calculate distance
+            dis_x = t0[0] * face[0] + t0[1] * face[3] + t0[2] * face[6];
+            dis_y = t0[0] * face[1] + t0[1] * face[4] + t0[2] * face[7];
+            scalar_t dis = dis_x * dis_x + dis_y * dis_y;
+
+            if (dis < dis_min) {
+                dis_min = dis;
+                dis_x_min = dis_x;
+                dis_y_min = dis_y;
+                t[0] = t0[0];
+                t[1] = t0[1];
+                t[2] = t0[2];
+            }
+        }
+        dis_x = dis_x_min;
+        dis_y = dis_y_min;
+        sign = 1;
+    } else {
+        int v0 = -1;
+
+        if (w[1] <= 0 && w[2] <= 0) {
+            v0 = 0;
+            if (face_obt[0] == 1 && (xp - face[0]) * (face[6] - face[0]) + (yp - face[1]) * (face[7] - face[1]) > 0) v0 = 2;
+        } else if (w[2] <= 0 && w[0] <= 0) {
+            v0 = 1;
+            if (face_obt[1] == 1 && (xp - face[3]) * (face[0] - face[3]) + (yp - face[4]) * (face[1] - face[4]) > 0) v0 = 0;
+        } else if (w[0] <= 0 && w[1] <= 0) {
+            v0 = 2;
+            if (face_obt[2] == 1 && (xp - face[6]) * (face[3] - face[6]) + (yp - face[7]) * (face[4] - face[7]) > 0) v0 = 1;
+        } else
+        if (w[0] <= 0) v0 = 1;
+        else if (w[1] <= 0) v0 = 2;
+        else if (w[2] <= 0) v0 = 0;
+
+        const int v1 = (v0 + 1) % 3;
+        const int v2 = (v0 + 2) % 3;
+
+        scalar_t a0[3];
+
+        a0[0] = face_sym[3 * v0 + 0] - face_sym[3 * v1 + 0];
+        a0[1] = face_sym[3 * v0 + 1] - face_sym[3 * v1 + 1];
+        a0[2] = face_sym[3 * v0 + 2] - face_sym[3 * v1 + 2];
+
+        t[v0] = (w[0] * a0[0] + w[1] * a0[1] + w[2] * a0[2] - a0[v1]) / (a0[v0] - a0[v1]);
+        t[v1] = 1 - t[v0];
+        t[v2] = 0;
+
+        // clamp to [0, 1]
+        for (int k = 0; k < 3; k++) {
+            t[k] = min(max(t[k], 0.), 1.);
+            t[k] -= w[k];
+        }
+
+        // calculate distance
+        dis_x = t[0] * face[0] + t[1] * face[3] + t[2] * face[6];
+        dis_y = t[0] * face[1] + t[1] * face[4] + t[2] * face[7];
+        sign = -1;
+    }
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void forward_barycentric_p2f_distance(scalar_t &dis, const scalar_t *w) {
+    dis = w[0] > w[1] ? (w[1] > w[2] ? w[2] : w[1]) : (w[0] > w[2] ? w[2] : w[0]);
+    dis = dis > 0 ? dis*dis : -dis*dis;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ void backward_barycentric_p2f_distance(scalar_t grad_v[3][3], const scalar_t *w, const scalar_t *face_info, const scalar_t xp, const scalar_t yp, const scalar_t dis, const scalar_t C) {
+    const int p = w[0] > w[1] ? (w[1] > w[2] ? 2 : 1) : (w[0] > w[2] ? 2 : 0);
+    const scalar_t *face_inv = face_info;
+    for (int l = 0; l < 2; l++) {
+        for (int k = 0; k < 3; k++) {
+            scalar_t grad_kl = 0;
+            for (int q = 0; q < 3; q++) {
+                grad_kl += -face_inv[3*p+l] * face_inv[3*k+q] * (q == 0 ? xp : (q == 1 ? yp : 1));
+            }
+            grad_v[k][l] = grad_kl * C;
+            grad_v[k][l] *= dis > 0 ? (2. * sqrt(dis)) : (2. * sqrt(-dis));
+        }
+    }
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ scalar_t forward_sample_texture(const scalar_t *texture, const scalar_t *w, const int R, const int k, const int texture_sample_type) {
+    scalar_t texture_k;
+    if (texture_sample_type == 0) { // sample surface color with resolution as R
+        const int w_x = min(w[0] * R, float(R-1));
+        const int w_y = min(w[1] * R, float(R-1));
+        if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+            texture_k = texture[(w_y * R + w_x) * 3 + k];
+        } else {
+            texture_k = texture[((R - 1 - w_y) * R + (R - 1 - w_x)) * 3 + k];
+        }
+    } else
+    if (texture_sample_type == 1) { // sample vertex color
+        texture_k = w[0] * texture[k] + w[1] * texture[3+k] + w[2] * texture[6+k];
+    }
+    return texture_k;
+}
+
+
+template <typename scalar_t>
+__device__ __forceinline__ scalar_t backward_sample_texture(const scalar_t grad_color, const scalar_t *w, const int R, const int k, const int texture_sample_type) {
+    scalar_t grad_texture_k;
+    if (texture_sample_type == 0) { // sample surface color with resolution as R
+        const int w_x = min(w[0] * R, float(R-1));
+        const int w_y = min(w[1] * R, float(R-1));
+        if ((w[0] + w[1]) * R - w_x - w_y <= 1) {
+            if (k == w_y * R + w_x) {
+                grad_texture_k = grad_color;
+            }
+        } else {
+            if (k == (R - 1 - w_y) * R + (R - 1 - w_x)) {
+                grad_texture_k = grad_color;
+            }
+        }
+    } else
+    if (texture_sample_type == 1) {
+        grad_texture_k = w[k] * grad_color;
+    }
+    return grad_texture_k;
+}
+
+
+template <typename scalar_t>
+__global__ void backward_soft_rasterize_cuda_kernel(
+        const scalar_t* __restrict__ faces,
+        const int* __restrict__ faces_id_buffers,
+        const scalar_t* __restrict__ textures,
+        const scalar_t* __restrict__ soft_colors,
+        const scalar_t* __restrict__ faces_info,
+        const scalar_t* __restrict__ aggrs_info, // 0: sum, 1: max z*D
+        scalar_t* grad_faces,
+        scalar_t* grad_textures,
+        scalar_t* grad_soft_colors,
+        int batch_size,
+        int num_faces,
+        int image_size,
+        int max_faces_id,
+        int texture_size,
+        int texture_res,
+        float near,
+        float far,
+        float eps,
+        float sigma_val,
+        int func_id_dist,
+        float dist_eps,
+        float gamma_val,
+        int func_id_rgb,
+        int func_id_alpha,
+        int texture_sample_type,
+        bool double_side) {
+
+    ////////////////////////
+    ////////////////////////
+
+    const int i = blockIdx.x * blockDim.x + threadIdx.x;
+    if (i >= batch_size * image_size * image_size) {
+        return;
+    }
+    const int is = image_size;
+    const int nf = num_faces;
+    const int mf = max_faces_id;
+    const int bn = i / (is * is);
+    const int pn = i % (is * is);
+    const int yi = is - 1 - (pn / is);
+    const int xi = pn % is;
+    const scalar_t yp = (2. * yi + 1 - is) / is;
+    const scalar_t xp = (2. * xi + 1 - is) / is;
+
+    const scalar_t* face;
+    const scalar_t* texture;
+    const scalar_t* face_info;
+    const int* faces_id_buffer = &faces_id_buffers[bn * is * is * mf + pn * mf];
+
+    const scalar_t threshold = dist_eps * sigma_val;
+
+    const scalar_t softmax_sum = aggrs_info[(bn * 2 + 0) * (is * is) + pn];
+    const scalar_t softmax_max = aggrs_info[(bn * 2 + 1) * (is * is) + pn];
+
+    for (int m = 0; m < mf; m++) {
+        int fn = faces_id_buffer[m];
+
+        if (fn == -1){
+            break;
+        }
+
+        face = &faces[(bn * nf + fn) * 9];
+        texture = &textures[(bn * nf + fn) * texture_size * 3];
+        face_info = &faces_info[(bn * nf + fn) * 27];
+
+        if (check_border(xp, yp, face, sqrt(threshold))) continue;
+
+        scalar_t dis;
+        scalar_t dis_x;
+        scalar_t dis_y;
+        scalar_t t[3];
+        scalar_t w[3];
+        scalar_t w0[3];
+        scalar_t sign;
+        scalar_t soft_fragment;
+
+        barycentric_coordinate(w, xp, yp, face_info);
+
+        // compute probability map based on distance functions
+        if (func_id_dist == 0) { // hard assign
+            soft_fragment = 1;
+        } else
+        if (func_id_dist == 1) { // barycentric distance
+            forward_barycentric_p2f_distance(dis, w);
+            for (int k = 0; k < 3; k++) t[k] = w[k];
+            soft_fragment = 1. / (1. + exp(-dis / sigma_val));
+        } else
+        if (func_id_dist == 2) { // euclidean distance
+            euclidean_p2f_distance(sign, dis_x, dis_y, w, t, face, face_info, xp, yp);
+            dis = dis_x * dis_x + dis_y * dis_y;
+            soft_fragment = 1. / (1. + exp(-sign * dis / sigma_val));
+        }
+
+
+        scalar_t* grad_face = &grad_faces[(bn * nf + fn) * 9];
+        scalar_t* grad_texture = &grad_textures[(bn * nf + fn) * texture_size * 3];
+        scalar_t grad_v[3][3] = {0};
+        scalar_t C_grad_xy = 0;
+
+        /////////////////////////////////////////////////////
+
+        // aggragate for alpha channel
+        scalar_t C_grad_xy_alpha = grad_soft_colors[(bn * 4 + 3) * (is * is) + pn];
+        if (func_id_alpha == 0) { // hard assign
+            // hard assign alpha channels does not have gradient
+        } else
+        if (func_id_alpha == 1) { // Sum
+            C_grad_xy_alpha /= nf;
+        } else 
+        if (func_id_alpha == 2) { // Logical-Or
+            C_grad_xy_alpha *= (1 - soft_colors[(bn * 4 + 3) * (is * is) + pn]) / max(1 - soft_fragment, 1e-6);
+        }
+        C_grad_xy += C_grad_xy_alpha;
+
+        /////////////////////////////////////////////////////
+        for (int k = 0; k < 3; k++) w0[k] = w[k];
+        barycentric_clip(w);
+        const scalar_t zp = 1. / (w[0] / face[2] + w[1] / face[5] + w[2] / face[8]);
+
+        // aggregate for rgb channels
+        if (func_id_rgb == 0) { // Hard assign, no gradient to xyz
+            if (fn == softmax_max){
+                for (int k = 0; k < 3; k++) {
+                    for (int j = 0; j < texture_size; j++) {
+                        atomicAdd(&grad_texture[3 * j + k], backward_sample_texture(grad_soft_colors[(bn * 4 + k) * (is * is) + pn], w, texture_res, j, texture_sample_type));
+                    }
+                }
+            }
+        } else
+        if (func_id_rgb == 1) { // Softmax (Z * D)
+            scalar_t C_grad_xyz_rgb = 0.;
+
+            const scalar_t zp_norm = (far - zp) / (far - near);
+            const scalar_t zp_softmax = soft_fragment * exp((zp_norm - softmax_max) / gamma_val) / softmax_sum;
+
+            for (int k = 0; k < 3; k++) {
+                const scalar_t grad_soft_color_k = grad_soft_colors[(bn * 4 + k) * (is * is) + pn];
+
+                for (int j = 0; j < texture_size; j++) {
+                    const scalar_t grad_t = backward_sample_texture(grad_soft_color_k, w, texture_res, j, texture_sample_type);
+                    atomicAdd(&grad_texture[3 * j + k], zp_softmax * grad_t);
+                }
+
+                const scalar_t color_k = forward_sample_texture(texture, w, texture_res, k, texture_sample_type);
+                C_grad_xyz_rgb += grad_soft_color_k * (color_k - soft_colors[(bn * 4 + k) * (is * is) + pn]);
+            }
+            C_grad_xyz_rgb *= zp_softmax;
+            C_grad_xy += C_grad_xyz_rgb / soft_fragment;
+
+            const scalar_t C_grad_z_rgb = C_grad_xyz_rgb / gamma_val / (near - far) * zp * zp;
+            grad_v[0][2] = C_grad_z_rgb * w[0] / face[2] / face[2];
+            grad_v[1][2] = C_grad_z_rgb * w[1] / face[5] / face[5];
+            grad_v[2][2] = C_grad_z_rgb * w[2] / face[8] / face[8];
+        }
+
+        /////////////////////////////////////////////////////
+
+        C_grad_xy *= soft_fragment * (1 - soft_fragment) / sigma_val; // sigmoid gradient
+        // compute probability map gradient based on distance functions
+        if (func_id_dist == 1) { // barycentric distance
+            backward_barycentric_p2f_distance(grad_v, t, face_info, xp, yp, dis, C_grad_xy);
+        } else
+        if (func_id_dist == 2) { // euclidean distance
+            for (int k = 0; k < 3; k++) {
+                for (int l = 0; l < 2; l++) {
+                    grad_v[k][l] = 2 * sign * C_grad_xy * (t[k] + w0[k]) * (l == 0 ? dis_x : dis_y);
+                }
+            }
+        }
+
+        atomicAdd(&grad_face[0], grad_v[0][0]);
+        atomicAdd(&grad_face[1], grad_v[0][1]);
+        atomicAdd(&grad_face[3], grad_v[1][0]);
+        atomicAdd(&grad_face[4], grad_v[1][1]);
+        atomicAdd(&grad_face[6], grad_v[2][0]);
+        atomicAdd(&grad_face[7], grad_v[2][1]);
+
+        atomicAdd(&grad_face[2], grad_v[0][2]);
+        atomicAdd(&grad_face[5], grad_v[1][2]);
+        atomicAdd(&grad_face[8], grad_v[2][2]);
+    }
+}
+}
+    ''',
+    cuda_src=f'''
+    @alias(faces, in0)
+    @alias(textures, in1)
+    @alias(soft_colors, in2)
+    @alias(faces_info, in3)
+    @alias(aggrs_info, in4)
+    @alias(grad_soft_colors, in5)
+    @alias(faces_id_buffer,in6)
+    @alias(grad_faces, out0)
+    @alias(grad_textures, out1)
+
+    cudaMemsetAsync(out0_p, 0, out0->size);
+    cudaMemsetAsync(out1_p, 0, out1->size);
+
+    const auto batch_size = faces_shape0;
+    const auto num_faces = faces_shape1;
+    const auto texture_size = textures_shape2;
+    const auto texture_res = int(sqrt(texture_size));
+    const auto max_faces_id = faces_id_buffer_shape3;
+    const int threads = 512;
+    const dim3 blocks ((batch_size * {image_size} * {image_size} - 1) / threads + 1);
+
+    backward_soft_rasterize_cuda_kernel<float32><<<blocks, threads>>>(
+        faces_p,
+        faces_id_buffer_p,
+        textures_p,
+        soft_colors_p,
+        faces_info_p,
+        aggrs_info_p,
+        grad_faces_p,
+        grad_textures_p,
+        grad_soft_colors_p,
+        batch_size,
+        num_faces,
+        {image_size},
+        max_faces_id,
+        texture_size,
+        texture_res,
+        {near},
+        {far},
+        {eps},
+        {sigma_val},
+        {func_id_dist},
+        {dist_eps},
+        {gamma_val},
+        {func_id_rgb},
+        {func_id_alpha},
+        {texture_sample_type},
+        {double_side});
+
+    cudaError_t err = cudaGetLastError();
+    if (err != cudaSuccess) 
+        printf("Error in backward_soft_rasterize: %s", cudaGetErrorString(err));
+    ''')
+=======
 import jittor as jt
 
 def forward_soft_rasterize(face_vertices, textures,
@@ -1414,3 +2389,4 @@ def backward_soft_rasterize(faces, textures, soft_colors,
     if (err != cudaSuccess) 
         printf("Error in backward_soft_rasterize: %s", cudaGetErrorString(err));
     ''')
+>>>>>>> main
diff --git a/jrender/renderer/dr/softras/cuda/soft_rasterize_coarse_to_fine.py b/jrender/renderer/dr/softras/cuda/soft_rasterize_coarse_to_fine.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/softras/rasterizer.py b/jrender/renderer/dr/softras/rasterizer.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/dr/softras/soft_rasterize.py b/jrender/renderer/dr/softras/soft_rasterize.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/lighting/__init__.py b/jrender/renderer/lighting/__init__.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/lighting/ambient_lighting.py b/jrender/renderer/lighting/ambient_lighting.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/lighting/directional_lighting.py b/jrender/renderer/lighting/directional_lighting.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/lighting/lighting.py b/jrender/renderer/lighting/lighting.py
old mode 100644
new mode 100755
diff --git a/jrender/renderer/renderer.py b/jrender/renderer/renderer.py
old mode 100644
new mode 100755
index 72cab8f..2bfd854
--- a/jrender/renderer/renderer.py
+++ b/jrender/renderer/renderer.py
@@ -1,71 +1,78 @@
-import jittor as jt
-from jittor import nn
-
-from .lighting import *
-from .transform import *
-from .dr import *
-from ..structures import *
-import jrender as jr
-
-class Renderer(nn.Module):
-    def __init__(self, image_size=256, background_color=[0,0,0], near=1, far=100, 
-                 anti_aliasing=False, fill_back=True, eps=1e-3,
-                 sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4,
-                 gamma_val=1e-4, aggr_func_rgb='softmax', aggr_func_alpha='prod',
-                 texture_type='surface',
-                 camera_mode='look_at',
-                 K=None, R=None, t=None, dist_coeffs=None, orig_size=512,
-                 perspective=True, viewing_angle=30, viewing_scale=1.0, 
-                 eye=None, camera_direction=[0,0,1],
-                 light_mode='surface',
-                 light_intensity_ambient=0.5, light_color_ambient=[1,1,1],
-                 light_intensity_directionals=0.5, light_color_directionals=[1,1,1],
-                 light_directions=[0,1,0], dr_type='softras', Gbuffer='None', bin_size=0, max_elems_per_bin=0, max_faces_per_pixel_for_grad=16):
-        super(Renderer, self).__init__()
-        # camera
-        self.transform = Transform(camera_mode, 
-                                      K, R, t, dist_coeffs, orig_size,
-                                      perspective, viewing_angle, viewing_scale, 
-                                      eye, camera_direction)
-
-        # light
-        self.lighting = Lighting(light_mode,
-                                    light_intensity_ambient, light_color_ambient,
-                                    light_intensity_directionals, light_color_directionals,
-                                    light_directions, Gbuffer, self.transform)
-        # rasterization
-        self.dr_type = dr_type
-        if dr_type == 'softras':
-            self.rasterizer = SoftRasterizer(image_size, background_color, near, far, 
-                                            anti_aliasing, fill_back, eps,
-                                            sigma_val, dist_func, dist_eps,
-                                            gamma_val, aggr_func_rgb, aggr_func_alpha,
-                                            texture_type, bin_size, max_elems_per_bin,
-                                            max_faces_per_pixel_for_grad)
-        elif dr_type == 'n3mr':
-            self.rasterizer = N3mrRasterizer(image_size, anti_aliasing, background_color, fill_back)
-        else:
-            raise ValueError("dr_type should be one of None, 'softras' or 'n3mr'")
-
-    def set_sigma(self, sigma):
-        self.rasterizer.sigma_val = sigma
-
-    def set_gamma(self, gamma):
-        self.rasterizer.gamma_val = gamma
-
-    def set_texture_mode(self, mode):
-        assert mode in ['vertex', 'surface'], 'Mode only support surface and vertex'
-
-        self.lighting.light_mode = mode
-        self.rasterizer.texture_type = mode
-
-    def render_mesh(self, mesh, mode='rgb'):
-        self.set_texture_mode(mesh.texture_type)
-        mesh = self.lighting(mesh, self.transform.eyes)
-        mesh = self.transform(mesh)
-        return self.rasterizer(mesh, mode)
-        
-
-    def execute(self, vertices, faces, textures=None,mode='rgb', texture_type='surface', metallic_textures=None, roughness_textures=None):
-        mesh = jr.Mesh(vertices, faces, textures=textures, texture_type=texture_type, metallic_textures=metallic_textures, roughness_textures=roughness_textures)
-        return self.render_mesh(mesh, mode)
+import jittor as jt
+from jittor import nn
+
+from .lighting import *
+from .transform import *
+from .dr import *
+from ..structures import *
+import jrender as jr
+
+class Renderer(nn.Module):
+    def __init__(self, image_size=256, background_color=[0,0,0], near=1, far=100, 
+                 anti_aliasing=False, fill_back=True, eps=1e-3,
+                 sigma_val=1e-5, dist_func='euclidean', dist_eps=1e-4,
+                 gamma_val=1e-4, aggr_func_rgb='softmax', aggr_func_alpha='prod',
+                 texture_type='surface',
+                 camera_mode='look_at',
+                 K=None, R=None, t=None, dist_coeffs=None, orig_size=512,
+                 perspective=True, viewing_angle=30, viewing_scale=1.0, coordinate = "right",
+                 eye=None, camera_direction=[0,0,1],
+                 light_mode='surface',
+                 light_intensity_ambient=0.5, light_color_ambient=[1,1,1],
+                 light_intensity_directionals=0.5, light_color_directionals=[1,1,1],
+                 light_directions=[0,1,0], dr_type='softras', Gbuffer='None', bin_size=0, max_elems_per_bin=0, max_faces_per_pixel_for_grad=16):
+        super(Renderer, self).__init__()
+        # camera
+        self.transform = Transform(camera_mode, 
+                                      K, R, t, dist_coeffs, orig_size,
+                                      perspective, viewing_angle, viewing_scale, 
+                                      eye, camera_direction, coordinate=coordinate)
+
+        # light
+        self.lighting = Lighting(light_mode,
+                                    light_intensity_ambient, light_color_ambient,
+                                    light_intensity_directionals, light_color_directionals,
+                                    light_directions, Gbuffer, self.transform)
+        # rasterization
+        self.dr_type = dr_type
+        if dr_type == 'softras':
+            self.rasterizer = SoftRasterizer(image_size, background_color, near, far, 
+                                            anti_aliasing, fill_back, eps,
+                                            sigma_val, dist_func, dist_eps,
+                                            gamma_val, aggr_func_rgb, aggr_func_alpha,
+                                            texture_type, bin_size, max_elems_per_bin,
+                                            max_faces_per_pixel_for_grad)
+        elif dr_type == 'n3mr':
+            self.rasterizer = N3mrRasterizer(image_size, anti_aliasing, background_color, fill_back)
+        elif dr_type == 'DrL':
+            self.rasterizer = DrL_Rasterizer(image_size, background_color, near, far, 
+                                            anti_aliasing, fill_back, eps,
+                                            sigma_val, dist_func, dist_eps,
+                                            gamma_val, aggr_func_rgb, aggr_func_alpha,
+                                            texture_type, bin_size, max_elems_per_bin,
+                                            max_faces_per_pixel_for_grad)
+        else:
+            raise ValueError("dr_type should be one of None, 'softras' or 'n3mr'")
+
+    def set_sigma(self, sigma):
+        self.rasterizer.sigma_val = sigma
+
+    def set_gamma(self, gamma):
+        self.rasterizer.gamma_val = gamma
+
+    def set_texture_mode(self, mode):
+        assert mode in ['vertex', 'surface'], 'Mode only support surface and vertex'
+
+        self.lighting.light_mode = mode
+        self.rasterizer.texture_type = mode
+
+    def render_mesh(self, mesh, mode='rgb'):
+        self.set_texture_mode(mesh.texture_type)
+        mesh = self.lighting(mesh, self.transform.eyes)
+        mesh = self.transform(mesh)
+        return self.rasterizer(mesh, mode)
+        
+
+    def execute(self, vertices, faces, textures=None,mode='rgb', texture_type='surface', metallic_textures=None, roughness_textures=None):
+        mesh = jr.Mesh(vertices, faces, textures=textures, texture_type=texture_type, metallic_textures=metallic_textures, roughness_textures=roughness_textures)
+        return self.render_mesh(mesh, mode)
diff --git a/jrender/renderer/transform/__init__.py b/jrender/renderer/transform/__init__.py
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diff --git a/jrender/renderer/transform/look.py b/jrender/renderer/transform/look.py
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diff --git a/jrender/renderer/transform/look_at.py b/jrender/renderer/transform/look_at.py
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diff --git a/jrender/renderer/transform/orthogonal.py b/jrender/renderer/transform/orthogonal.py
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diff --git a/jrender/renderer/transform/perspective.py b/jrender/renderer/transform/perspective.py
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diff --git a/jrender/renderer/transform/projection.py b/jrender/renderer/transform/projection.py
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diff --git a/jrender/renderer/transform/transform.py b/jrender/renderer/transform/transform.py
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diff --git a/jrender/renderer/utils/ToStretchMap.py b/jrender/renderer/utils/ToStretchMap.py
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diff --git a/jrender/renderer/utils/__init__.py b/jrender/renderer/utils/__init__.py
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diff --git a/jrender/renderer/utils/cuda/voxelization.py b/jrender/renderer/utils/cuda/voxelization.py
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diff --git a/jrender/renderer/utils/gaussian_blur.py b/jrender/renderer/utils/gaussian_blur.py
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diff --git a/jrender/renderer/utils/get_points_from_angles.py b/jrender/renderer/utils/get_points_from_angles.py
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diff --git a/jrender/renderer/utils/voxelization.py b/jrender/renderer/utils/voxelization.py
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diff --git a/jrender/structures/__init__.py b/jrender/structures/__init__.py
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diff --git a/jrender/structures/mesh.py b/jrender/structures/mesh.py
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diff --git a/jrender/structures/utils/__init__.py b/jrender/structures/utils/__init__.py
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diff --git a/jrender/structures/utils/faces_vertices.py b/jrender/structures/utils/faces_vertices.py
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diff --git a/jrender_vol/__init__.py b/jrender_vol/__init__.py
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diff --git a/jrender_vol/camera/__init__.py b/jrender_vol/camera/__init__.py
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diff --git a/jrender_vol/camera/pinhole.py b/jrender_vol/camera/pinhole.py
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diff --git a/jrender_vol/integrator/__init__.py b/jrender_vol/integrator/__init__.py
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diff --git a/jrender_vol/integrator/integrator.py b/jrender_vol/integrator/integrator.py
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diff --git a/jrender_vol/integrator/sample.py b/jrender_vol/integrator/sample.py
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diff --git a/jrender_vol/rayMarching/__init__.py b/jrender_vol/rayMarching/__init__.py
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diff --git a/jrender_vol/rayMarching/rayMarching.py b/jrender_vol/rayMarching/rayMarching.py
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diff --git a/jrender_vol/renderPass/__init__.py b/jrender_vol/renderPass/__init__.py
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diff --git a/jrender_vol/renderPass/render.py b/jrender_vol/renderPass/render.py
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diff --git a/nerf_helper/__init__.py b/nerf_helper/__init__.py
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diff --git a/nerf_helper/load_blender.py b/nerf_helper/load_blender.py
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diff --git a/nerf_helper/load_deepvoxels.py b/nerf_helper/load_deepvoxels.py
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diff --git a/nerf_helper/load_llff.py b/nerf_helper/load_llff.py
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diff --git a/nerf_helper/utils.py b/nerf_helper/utils.py
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diff --git a/requirements.txt b/requirements.txt
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