#version 450 core
#define PRECISION ${PRECISION}
#define FORMAT ${FORMAT}

layout(std430) buffer;

/* Qualifiers: layout - storage - precision - memory */

layout(set = 0, binding = 0, rgba8i)  uniform PRECISION restrict writeonly  iimage3D   uOutput;
layout(set = 0, binding = 1)          uniform PRECISION                     isampler3D uInput; //quantized input
layout(set = 0, binding = 2)          uniform PRECISION restrict            Block {
  ivec4 size;
  float kBeta; /* M_SQRT2 * M_2_SQRTPI * 0.5 */
  float scale;
  int zero_point;
} uBlock;

layout(local_size_x_id = 0, local_size_y_id = 1, local_size_z_id = 2) in;

void main() {
  const ivec3 pos = ivec3(gl_GlobalInvocationID);

  if (all(lessThan(pos, uBlock.size.xyz))) {
    const vec4 qua_inval = texelFetch(uInput, pos, 0);

    const vec4 inval = uBlock.scale * (qua_inval - uBlock.zero_point); //dequantize
    const vec4 invalcube = inval * inval * inval;
    const vec4 inner = vec4(uBlock.kBeta) * (inval + vec4(0.044715) * invalcube);
    const vec4 res = vec4(0.5) * inval * (vec4(1.0) + tanh(inner));
    const vec4 qua_res = roundEven(res / uBlock.scale) + uBlock.zero_point;
    const ivec4 outval = ivec4(qua_res);

    imageStore(uOutput, pos, outval);
  }
}