boost units and single-precision floats

Hi,

I have aliases for radians and degrees that use float as the storage type.

When I convert between these two units I see the assembly promote
the values to doubles and then back to floats.
How can I make sure that all operations and conversions stay in floats?

PS: I would not be surprised if I have defined my aliases or/and my
conversion functions incorrectly.

My Code:
===
using radians_f = boost::units::quantity<boost::units::si::plane_angle,
float>;
using degrees_f = boost::units::quantity<boost::units::degree::plane_angle,
float>;

degrees_f to_degrees(const radians_f& angle) { return
static_cast<degrees_f>(angle); }
radians_f to_radians(const degrees_f& angle) { return
static_cast<radians_f>(angle); }
===

From compiler explorer I see the following assembly instructions:
https://godbolt.org/z/Gnjr54dn6
cvtss2sd - Converts a single-precision floating-point value in the
“convert-from” source operand to a double-precision floating-point value in
the destination operand.
mulsd - Multiplies the low double-precision floating-point value in the
second source operand by the low double-precision floating-point value in
the first source operand.
cvtsd2ss - Converts a double-precision floating-point value in the
“convert-from” source operand to a single-precision floating-point value

Any help will be appreciated.

Regards,
Carel

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