Given a declaration like:

strictfp class A {
    static {}
    A(){}
    void aa(){}
}

if you execute:

javac A.java

and later the following command:

javap -v A | less

We have:

...
A();
    flags:
    Code:
      stack=1, locals=1, args_size=1
         0: aload_0
         1: invokespecial #1 // Method java/lang/Object."<init>":()V
         4: return
      LineNumberTable:
        line 3: 0

  void aa();
    flags:
    Code:
      stack=0, locals=1, args_size=1
         0: return
      LineNumberTable:
        line 4: 0

  static {};
    flags: ACC_STATIC
    Code:
      stack=0, locals=0, args_size=0
         0: return

So the strictfp modifier is totally ignored for this class.