


How to Convert 32-bit Floating Point Numbers to 16-bit with Minimal Precision Loss?
32-bit to 16-bit Floating Point Conversion
Problem:
Convert 32-bit floating point numbers to 16-bit floating point numbers while minimizing precision loss. The converted values will be transmitted over a network, making size reduction a priority.
Solution:
This article introduces three solutions:
-
Encode IEEE 16-bit Floating Point:
- Uses a cross-platform library that supports IEEE 16-bit floating point format.
- This method is suitable for precise conversion between 32-bit and 16-bit floating point numbers.
-
Sample code:
<code class="cpp">auto encodedValue = encode_flt16(floatValue); auto decodedValue = decode_flt16(encodedValue);</code>
-
Linear Conversion to Fixed Point:
- Linearly maps the input 32-bit floating point number to a 16-bit fixed point format.
- This method is faster than IEEE conversion but less precise, especially around zero.
-
Sample code:
<code class="cpp">// Assuming 8-bit mantissa uint16_t fixedPointValue = (uint16_t)(floatValue * (1 </code>
-
Round-to-Nearest Conversion:
- Converts the 32-bit floating point number to a 16-bit floating point number using rounding to the nearest value.
- This method provides a balance between speed and precision.
-
Sample code:
<code class="cpp">// Assuming float16 type supports binary32 conversion float16 float16Value = float16(floatValue);</code>
Select the conversion method based on the specific requirements of your application, such as precision and performance.
The above is the detailed content of How to Convert 32-bit Floating Point Numbers to 16-bit with Minimal Precision Loss?. For more information, please follow other related articles on the PHP Chinese website!

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