![]() The extreme exponent range makes it necessary to use the vpa arithmetic of the Symbolic Math Toolbox™ to compute vfp16_anatomy. The key attributes of variable format half precision are displayed in the following chart, vfp16_anatomy. P = precision(y) is the value for the entire array y. Vfp16('fma') is the current status of fused multiply adds. Vfp16('subnormals') is the current status of gradual underflow. Vfp16('precision') is the current working precision. Vfp16('bfloat16') sets p = 7, subnormals = off, fma = on. ![]() Vfp16('fp16') sets p = 10, subnormals = on, fma = off (the default). Up to three key-value pairs are allowed in a single call to vfp16. Vfp16('fma','off'/'on') controls fused multiply adds. Vfp16('subnormals','on'/'off) controls gradual underflow. Vfp16('precision',p) sets the working precision to p. Y = vfp16(x,p) has precision p without changing the working precision. The default precision is p = 10 for IEEE standard fp16. A single value of the precision, p, is associatedĪny integer value of p in the range 0 <= p <= 15 is allowed,Īlthough the extreme values are of questionable utility. EachĮlement is packed with p fraction bits, 15-p exponent bits and Y = vfp16(x) is an array, the same size as x, of uint16s. Constructor for variable format 16-bit floating point object. My new MATLAB® object is an elaboration of fp16, so I named it vfp16. ![]() ![]() This increased range at the expense of precision is proving useful in machine learning and image processing. The new format has three more bits in the exponent and three fewer bits in the fraction than the standard. The two formats of most interest are the IEEE standard fp16 with p = 10 and the new bfloat16 with p = 7. For half precision, we always have p+q = 15. A floating point format is characterized by two parameters, p, the number of bits in the fraction, and q, the number of bits in the exponent. ![]()
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