The values of the integral types of the Java Virtual Machine are:

The floating-point types are float and double, which are conceptually associated with the 32-bit single-precision and 64-bit double-precision format IEEE 754 values and operations as specified in IEEE Standard for Binary Floating-Point Arithmetic (ANSI/IEEE Std. 754-1985, New York).

The IEEE 754 standard includes not only positive and negative sign-magnitude numbers, but also positive and negative zeros, positive and negative infinities, and a special Not-a-Number value (hereafter abbreviated as "NaN"). The NaN value is used to represent the result of certain invalid operations such as dividing zero by zero.

Every implementation of the Java Virtual Machine is required to support two standard sets of floating-point values, called the float value set and the double value set. In addition, an implementation of the Java Virtual Machine may, at its option, support either or both of two extended-exponent floating-point value sets, called the float-extended-exponent value set and the double-extended-exponent value set. These extended-exponent value sets may, under certain circumstances, be used instead of the standard value sets to represent the values of type float or double.

The finite nonzero values of any floating-point value set can all be expressed in the form s ? m ? 2^{(e ? N + 1)}, where s is +1 or ?1, m is a positive integer less than 2^N, and e is an integer between E_min = ?(2^K?1?2) and E_max = 2^K?1?1, inclusive, and where N and K are parameters that depend on the value set. Some values can be represented in this form in more than one way; for example, supposing that a value v in a value set might be represented in this form using certain values for s, m, and e, then if it happened that m were even and e were less than 2^K-1, one could halve m and increase e by 1 to produce a second representation for the same value v. A representation in this form is called normalized if m ≥ 2^N-1; otherwise the representation is said to be denormalized. If a value in a value set cannot be represented in such a way that m ≥ 2^N-1, then the value is said to be a denormalized value, because it has no normalized representation.

The constraints on the parameters N and K (and on the derived parameters E_min and E_max) for the two required and two optional floating-point value sets are summarized in Table 2.3.2-A.

Where one or both extended-exponent value sets are supported by an implementation, then for each supported extended-exponent value set there is a specific implementation-dependent constant K, whose value is constrained by Table 2.3.2-A; this value K in turn dictates the values for E_min and E_max.

Each of the four value sets includes not only the finite nonzero values that are ascribed to it above, but also the five values positive zero, negative zero, positive infinity, negative infinity, and NaN.

Note that the constraints in Table 2.3.2-A are designed so that every element of the float value set is necessarily also an element of the float-extended-exponent value set, the double value set, and the double-extended-exponent value set. Likewise, each element of the double value set is necessarily also an element of the double-extended-exponent value set. Each extended-exponent value set has a larger range of exponent values than the corresponding standard value set, but does not have more precision.

The elements of the float value set are exactly the values that can be represented using the single floating-point format defined in the IEEE 754 standard, except that there is only one NaN value (IEEE 754 specifies 2²⁴-2 distinct NaN values). The elements of the double value set are exactly the values that can be represented using the double floating-point format defined in the IEEE 754 standard, except that there is only one NaN value (IEEE 754 specifies 2⁵³-2 distinct NaN values). Note, however, that the elements of the float-extended-exponent and double-extended-exponent value sets defined here do not correspond to the values that can be represented using IEEE 754 single extended and double extended formats, respectively. This specification does not mandate a specific representation for the values of the floating-point value sets except where floating-point values must be represented in the class file format (§4.4.4, §4.4.5).

The float, float-extended-exponent, double, and double-extended-exponent value sets are not types. It is always correct for an implementation of the Java Virtual Machine to use an element of the float value set to represent a value of type float; however, it may be permissible in certain contexts for an implementation to use an element of the float-extended-exponent value set instead. Similarly, it is always correct for an implementation to use an element of the double value set to represent a value of type double; however, it may be permissible in certain contexts for an implementation to use an element of the double-extended-exponent value set instead.

Except for NaNs, values of the floating-point value sets are ordered. When arranged from smallest to largest, they are negative infinity, negative finite values, positive and negative zero, positive finite values, and positive infinity.

Floating-point positive zero and floating-point negative zero compare as equal, but there are other operations that can distinguish them; for example, dividing 1.0 by 0.0produces positive infinity, but dividing 1.0 by -0.0 produces negative infinity.

NaNs are unordered, so numerical comparisons and tests for numerical equality have the value false if either or both of their operands are NaN. In particular, a test for numerical equality of a value against itself has the value false if and only if the value is NaN. A test for numerical inequality has the value true if either operand is NaN.

The returnAddress type is used by the Java Virtual Machine‘s jsr, ret, and jsr_w instructions (§jsr, §ret, §jsr_w). The values of the returnAddress type are pointers to the opcodes of Java Virtual Machine instructions. Unlike the numeric primitive types, the returnAddress type does not correspond to any Java programming language type and cannot be modified by the running program.

Although the Java Virtual Machine defines a boolean type, it only provides very limited support for it. There are no Java Virtual Machine instructions solely dedicated to operations on boolean values. Instead, expressions in the Java programming language that operate on boolean values are compiled to use values of the Java Virtual Machine int data type.

The Java Virtual Machine does directly support boolean arrays. Its newarray instruction (§newarray) enables creation of boolean arrays. Arrays of type boolean are accessed and modified using the byte array instructions baload and bastore (§baload, §bastore).

In Oracle’s Java Virtual Machine implementation, boolean arrays in the Java programming language are encoded as Java Virtual Machine byte arrays, using 8 bits per boolean element.

The Java Virtual Machine encodes boolean array components using 1 to represent true and 0 to represent false. Where Java programming language boolean values are mapped by compilers to values of Java Virtual Machine type int, the compilers must use the same encoding.

The Java Virtual Machine can support many threads of execution at once (JLS §17). Each Java Virtual Machine thread has its own pc (program counter) register. At any point, each Java Virtual Machine thread is executing the code of a single method, namely the current method (§2.6) for that thread. If that method is not native, the pcregister contains the address of the Java Virtual Machine instruction currently being executed. If the method currently being executed by the thread is native, the value of the Java Virtual Machine‘s pc register is undefined. The Java Virtual Machine‘s pc register is wide enough to hold a returnAddress or a native pointer on the specific platform.

Each Java Virtual Machine thread has a private Java Virtual Machine stack, created at the same time as the thread. A Java Virtual Machine stack stores frames (§2.6). A Java Virtual Machine stack is analogous to the stack of a conventional language such as C: it holds local variables and partial results, and plays a part in method invocation and return. Because the Java Virtual Machine stack is never manipulated directly except to push and pop frames, frames may be heap allocated. The memory for a Java Virtual Machine stack does not need to be contiguous.

In the First Edition of The Java? Virtual Machine Specification, the Java Virtual Machine stack was known as the Java stack.

This specification permits Java Virtual Machine stacks either to be of a fixed size or to dynamically expand and contract as required by the computation. If the Java Virtual Machine stacks are of a fixed size, the size of each Java Virtual Machine stack may be chosen independently when that stack is created.

A Java Virtual Machine implementation may provide the programmer or the user control over the initial size of Java Virtual Machine stacks, as well as, in the case of dynamically expanding or contracting Java Virtual Machine stacks, control over the maximum and minimum sizes.

The following exceptional conditions are associated with Java Virtual Machine stacks:

The Java Virtual Machine has a heap that is shared among all Java Virtual Machine threads. The heap is the run-time data area from which memory for all class instances and arrays is allocated.

The heap is created on virtual machine start-up. Heap storage for objects is reclaimed by an automatic storage management system (known as a garbage collector); objects are never explicitly deallocated. The Java Virtual Machine assumes no particular type of automatic storage management system, and the storage management technique may be chosen according to the implementor‘s system requirements. The heap may be of a fixed size or may be expanded as required by the computation and may be contracted if a larger heap becomes unnecessary. The memory for the heap does not need to be contiguous.

A Java Virtual Machine implementation may provide the programmer or the user control over the initial size of the heap, as well as, if the heap can be dynamically expanded or contracted, control over the maximum and minimum heap size.

The following exceptional condition is associated with the heap:

The Java Virtual Machine has a method area that is shared among all Java Virtual Machine threads. The method area is analogous to the storage area for compiled code of a conventional language or analogous to the "text" segment in an operating system process. It stores per-class structures such as the run-time constant pool, field and method data, and the code for methods and constructors, including the special methods used in class and interface initialization and in instance initialization (§2.9).

The method area is created on virtual machine start-up. Although the method area is logically part of the heap, simple implementations may choose not to either garbage collect or compact it. This specification does not mandate the location of the method area or the policies used to manage compiled code. The method area may be of a fixed size or may be expanded as required by the computation and may be contracted if a larger method area becomes unnecessary. The memory for the method area does not need to be contiguous.

A Java Virtual Machine implementation may provide the programmer or the user control over the initial size of the method area, as well as, in the case of a varying-size method area, control over the maximum and minimum method area size.

The following exceptional condition is associated with the method area:

A run-time constant pool is a per-class or per-interface run-time representation of the constant_pool table in a class file (§4.4). It contains several kinds of constants, ranging from numeric literals known at compile-time to method and field references that must be resolved at run-time. The run-time constant pool serves a function similar to that of a symbol table for a conventional programming language, although it contains a wider range of data than a typical symbol table.

Each run-time constant pool is allocated from the Java Virtual Machine‘s method area (§2.5.4). The run-time constant pool for a class or interface is constructed when the class or interface is created (§5.3) by the Java Virtual Machine.

The following exceptional condition is associated with the construction of the run-time constant pool for a class or interface:

See §5 (Loading, Linking, and Initializing) for information about the construction of the run-time constant pool.

An implementation of the Java Virtual Machine may use conventional stacks, colloquially called "C stacks," to support native methods (methods written in a language other than the Java programming language). Native method stacks may also be used by the implementation of an interpreter for the Java Virtual Machine‘s instruction set in a language such as C. Java Virtual Machine implementations that cannot load native methods and that do not themselves rely on conventional stacks need not supply native method stacks. If supplied, native method stacks are typically allocated per thread when each thread is created.

This specification permits native method stacks either to be of a fixed size or to dynamically expand and contract as required by the computation. If the native method stacks are of a fixed size, the size of each native method stack may be chosen independently when that stack is created.

A Java Virtual Machine implementation may provide the programmer or the user control over the initial size of the native method stacks, as well as, in the case of varying-size native method stacks, control over the maximum and minimum method stack sizes.

The following exceptional conditions are associated with native method stacks:

Each frame (§2.6) contains an array of variables known as its local variables. The length of the local variable array of a frame is determined at compile-time and supplied in the binary representation of a class or interface along with the code for the method associated with the frame (§4.7.3).

A single local variable can hold a value of type boolean, byte, char, short, int, float, reference, or returnAddress. A pair of local variables can hold a value of type long or double.

Local variables are addressed by indexing. The index of the first local variable is zero. An integer is considered to be an index into the local variable array if and only if that integer is between zero and one less than the size of the local variable array.

A value of type long or type double occupies two consecutive local variables. Such a value may only be addressed using the lesser index. For example, a value of type double stored in the local variable array at index n actually occupies the local variables with indices n and n+1; however, the local variable at index n+1 cannot be loaded from. It can be stored into. However, doing so invalidates the contents of local variable n.

The Java Virtual Machine does not require n to be even. In intuitive terms, values of types long and double need not be 64-bit aligned in the local variables array. Implementors are free to decide the appropriate way to represent such values using the two local variables reserved for the value.

The Java Virtual Machine uses local variables to pass parameters on method invocation. On class method invocation, any parameters are passed in consecutive local variables starting from local variable 0. On instance method invocation, local variable 0 is always used to pass a reference to the object on which the instance method is being invoked (this in the Java programming language). Any parameters are subsequently passed in consecutive local variables starting from local variable 1.

Each frame (§2.6) contains a last-in-first-out (LIFO) stack known as its operand stack. The maximum depth of the operand stack of a frame is determined at compile-time and is supplied along with the code for the method associated with the frame (§4.7.3).

Where it is clear by context, we will sometimes refer to the operand stack of the current frame as simply the operand stack.

The operand stack is empty when the frame that contains it is created. The Java Virtual Machine supplies instructions to load constants or values from local variables or fields onto the operand stack. Other Java Virtual Machine instructions take operands from the operand stack, operate on them, and push the result back onto the operand stack. The operand stack is also used to prepare parameters to be passed to methods and to receive method results.

For example, the iadd instruction (§iadd) adds two int values together. It requires that the int values to be added be the top two values of the operand stack, pushed there by previous instructions. Both of the int values are popped from the operand stack. They are added, and their sum is pushed back onto the operand stack. Subcomputations may be nested on the operand stack, resulting in values that can be used by the encompassing computation.

Each entry on the operand stack can hold a value of any Java Virtual Machine type, including a value of type long or type double.

Values from the operand stack must be operated upon in ways appropriate to their types. It is not possible, for example, to push two int values and subsequently treat them as a long or to push two float values and subsequently add them with an iadd instruction. A small number of Java Virtual Machine instructions (the dupinstructions (§dup) and swap (§swap)) operate on run-time data areas as raw values without regard to their specific types; these instructions are defined in such a way that they cannot be used to modify or break up individual values. These restrictions on operand stack manipulation are enforced through class file verification (§4.10).

At any point in time, an operand stack has an associated depth, where a value of type long or double contributes two units to the depth and a value of any other type contributes one unit.

Each frame (§2.6) contains a reference to the run-time constant pool (§2.5.5) for the type of the current method to support dynamic linking of the method code. The classfile code for a method refers to methods to be invoked and variables to be accessed via symbolic references. Dynamic linking translates these symbolic method references into concrete method references, loading classes as necessary to resolve as-yet-undefined symbols, and translates variable accesses into appropriate offsets in storage structures associated with the run-time location of these variables.

This late binding of the methods and variables makes changes in other classes that a method uses less likely to break this code.

A method invocation completes normally if that invocation does not cause an exception (§2.10) to be thrown, either directly from the Java Virtual Machine or as a result of executing an explicit throw statement. If the invocation of the current method completes normally, then a value may be returned to the invoking method. This occurs when the invoked method executes one of the return instructions (§2.11.8), the choice of which must be appropriate for the type of the value being returned (if any).

The current frame (§2.6) is used in this case to restore the state of the invoker, including its local variables and operand stack, with the program counter of the invoker appropriately incremented to skip past the method invocation instruction. Execution then continues normally in the invoking method‘s frame with the returned value (if any) pushed onto the operand stack of that frame.

A method invocation completes abruptly if execution of a Java Virtual Machine instruction within the method causes the Java Virtual Machine to throw an exception (§2.10), and that exception is not handled within the method. Execution of an athrow instruction (§athrow) also causes an exception to be explicitly thrown and, if the exception is not caught by the current method, results in abrupt method invocation completion. A method invocation that completes abruptly never returns a value to its invoker.

The key differences between the floating-point arithmetic supported by the Java Virtual Machine and the IEEE 754 standard are:

Every method has a floating-point mode, which is either FP-strict or not FP-strict. The floating-point mode of a method is determined by the setting of the ACC_STRICT flag of the access_flags item of the method_info structure (§4.6) defining the method. A method for which this flag is set is FP-strict; otherwise, the method is not FP-strict.

Note that this mapping of the ACC_STRICT flag implies that methods in classes compiled by a compiler in JDK release 1.1 or earlier are effectively not FP-strict.

We will refer to an operand stack as having a given floating-point mode when the method whose invocation created the frame containing the operand stack has that floating-point mode. Similarly, we will refer to a Java Virtual Machine instruction as having a given floating-point mode when the method containing that instruction has that floating-point mode.

If a float-extended-exponent value set is supported (§2.3.2), values of type float on an operand stack that is not FP-strict may range over that value set except where prohibited by value set conversion (§2.8.3). If a double-extended-exponent value set is supported (§2.3.2), values of type double on an operand stack that is not FP-strict may range over that value set except where prohibited by value set conversion.

In all other contexts, whether on the operand stack or elsewhere, and regardless of floating-point mode, floating-point values of type float and double may only range over the float value set and double value set, respectively. In particular, class and instance fields, array elements, local variables, and method parameters may only contain values drawn from the standard value sets.

An implementation of the Java Virtual Machine that supports an extended floating-point value set is permitted or required, under specified circumstances, to map a value of the associated floating-point type between the extended and the standard value sets. Such a value set conversion is not a type conversion, but a mapping between the value sets associated with the same type.

Where value set conversion is indicated, an implementation is permitted to perform one of the following operations on a value:

In addition, where value set conversion is indicated, certain operations are required:

Such required value set conversions may occur as a result of passing a parameter of a floating-point type during method invocation, including native method invocation; returning a value of a floating-point type from a method that is not FP-strict to a method that is FP-strict; or storing a value of a floating-point type into a local variable, a field, or an array in a method that is not FP-strict.

Not all values from an extended-exponent value set can be mapped exactly to a value in the corresponding standard value set. If a value being mapped is too large to be represented exactly (its exponent is greater than that permitted by the standard value set), it is converted to a (positive or negative) infinity of the corresponding type. If a value being mapped is too small to be represented exactly (its exponent is smaller than that permitted by the standard value set), it is rounded to the nearest of a representable denormalized value or zero of the same sign.

Value set conversion preserves infinities and NaNs and cannot change the sign of the value being converted. Value set conversion has no effect on a value that is not of a floating-point type.

A class has zero or more instance initialization methods, each typically corresponding to a constructor written in the Java programming language.

A method is an instance initialization method if all of the following are true:

In a class, other methods named <init> are not instance initialization methods. In an interface, any method named <init> is not an instance initialization method. Such methods cannot be invoked by any Java Virtual Machine instruction (§4.4.2, §4.9.2) and are rejected by format checking (§4.6, §4.8).

The declaration and use of an instance initialization method is constrained by the Java Virtual Machine. For the declaration, the method‘s access_flags item and codearray are constrained (§4.6, §4.9.2). For a use, an instance initialization method may be invoked only by the invokespecial instruction on an uninitialized class instance (§4.10.1.9).

Because the name <init> is not a valid identifier in the Java programming language, it cannot be used directly in a program written in the Java programming language.

A class or interface has at most one class or interface initialization method and is initialized by the Java Virtual Machine invoking that method (§5.5).

A method is a class or interface initialization method if all of the following are true:

Other methods named <clinit> in a class file are not class or interface initialization methods. They are never invoked by the Java Virtual Machine itself, cannot be invoked by any Java Virtual Machine instruction (§4.9.1), and are rejected by format checking (§4.6, §4.8).

Because the name <clinit> is not a valid identifier in the Java programming language, it cannot be used directly in a program written in the Java programming language.

A method is signature polymorphic if all of the following are true:

The Java Virtual Machine gives special treatment to signature polymorphic methods in the invokevirtual instruction (§invokevirtual), in order to effect invocation of a method handle or to effect access to a variable referenced by an instance of java.lang.invoke.VarHandle.

A method handle is a dynamically strongly typed and directly executable reference to an underlying method, constructor, field, or similar low-level operation (§5.4.3.5), with optional transformations of arguments or return values. An instance of java.lang.invoke.VarHandle is a dynamically strongly typed reference to a variable or family of variables, including static fields, non-static fields, array elements, or components of an off-heap data structure. See the java.lang.invoke package in the Java SE Platform API for more information.

Most of the instructions in the Java Virtual Machine instruction set encode type information about the operations they perform. For instance, the iload instruction (§iload) loads the contents of a local variable, which must be an int, onto the operand stack. The fload instruction (§fload) does the same with a float value. The two instructions may have identical implementations, but have distinct opcodes.

For the majority of typed instructions, the instruction type is represented explicitly in the opcode mnemonic by a letter: i for an int operation, l for long, s for short, b for byte, c for char, f for float, d for double, and a for reference. Some instructions for which the type is unambiguous do not have a type letter in their mnemonic. For instance, arraylength always operates on an object that is an array. Some instructions, such as goto, an unconditional control transfer, do not operate on typed operands.

Given the Java Virtual Machine‘s one-byte opcode size, encoding types into opcodes places pressure on the design of its instruction set. If each typed instruction supported all of the Java Virtual Machine‘s run-time data types, there would be more instructions than could be represented in a byte. Instead, the instruction set of the Java Virtual Machine provides a reduced level of type support for certain operations. In other words, the instruction set is intentionally not orthogonal. Separate instructions can be used to convert between unsupported and supported data types as necessary.

Table 2.11.1-A summarizes the type support in the instruction set of the Java Virtual Machine. A specific instruction, with type information, is built by replacing the T in the instruction template in the opcode column by the letter in the type column. If the type column for some instruction template and type is blank, then no instruction exists supporting that type of operation. For instance, there is a load instruction for type int, iload, but there is no load instruction for type byte.

Note that most instructions in Table 2.11.1-A do not have forms for the integral types byte, char, and short. None have forms for the boolean type. A compiler encodes loads of literal values of types byte and short using Java Virtual Machine instructions that sign-extend those values to values of type int at compile-time or run-time. Loads of literal values of types boolean and char are encoded using instructions that zero-extend the literal to a value of type int at compile-time or run-time. Likewise, loads from arrays of values of type boolean, byte, short, and char are encoded using Java Virtual Machine instructions that sign-extend or zero-extend the values to values of type int. Thus, most operations on values of actual types boolean, byte, char, and short are correctly performed by instructions operating on values of computational type int.

The mapping between Java Virtual Machine actual types and Java Virtual Machine computational types is summarized by Table 2.11.1-B.

Certain Java Virtual Machine instructions such as pop and swap operate on the operand stack without regard to type; however, such instructions are constrained to use only on values of certain categories of computational types, also given in Table 2.11.1-B.

The load and store instructions transfer values between the local variables (§2.6.1) and the operand stack (§2.6.2) of a Java Virtual Machine frame (§2.6):

Instructions that access fields of objects and elements of arrays (§2.11.5) also transfer data to and from the operand stack.

Instruction mnemonics shown above with trailing letters between angle brackets (for instance, iload_<n>) denote families of instructions (with members iload_0, iload_1, iload_2, and iload_3 in the case of iload_<n>). Such families of instructions are specializations of an additional generic instruction (iload) that takes one operand. For the specialized instructions, the operand is implicit and does not need to be stored or fetched. The semantics are otherwise the same (iload_0 means the same thing as iloadwith the operand 0). The letter between the angle brackets specifies the type of the implicit operand for that family of instructions: for <n>, a nonnegative integer; for <i>, an int; for <l>, a long; for <f>, a float; and for <d>, a double. Forms for type int are used in many cases to perform operations on values of type byte, char, and short (§2.11.1).

This notation for instruction families is used throughout this specification.

The arithmetic instructions compute a result that is typically a function of two values on the operand stack, pushing the result back on the operand stack. There are two main kinds of arithmetic instructions: those operating on integer values and those operating on floating-point values. Within each of these kinds, the arithmetic instructions are specialized to Java Virtual Machine numeric types. There is no direct support for integer arithmetic on values of the byte, short, and char types (§2.11.1), or for values of the boolean type; those operations are handled by instructions operating on type int. Integer and floating-point instructions also differ in their behavior on overflow and divide-by-zero. The arithmetic instructions are as follows:

The semantics of the Java programming language operators on integer and floating-point values (JLS §4.2.2, JLS §4.2.4) are directly supported by the semantics of the Java Virtual Machine instruction set.

The Java Virtual Machine does not indicate overflow during operations on integer data types. The only integer operations that can throw an exception are the integer divide instructions (idiv and ldiv) and the integer remainder instructions (irem and lrem), which throw an ArithmeticException if the divisor is zero.

Java Virtual Machine operations on floating-point numbers behave as specified in IEEE 754. In particular, the Java Virtual Machine requires full support of IEEE 754 denormalized floating-point numbers and gradual underflow, which make it easier to prove desirable properties of particular numerical algorithms.

The Java Virtual Machine requires that floating-point arithmetic behave as if every floating-point operator rounded its floating-point result to the result precision. Inexactresults must be rounded to the representable value nearest to the infinitely precise result; if the two nearest representable values are equally near, the one having a least significant bit of zero is chosen. This is the IEEE 754 standard‘s default rounding mode, known as round to nearest mode.

The Java Virtual Machine uses the IEEE 754 round towards zero mode when converting a floating-point value to an integer. This results in the number being truncated; any bits of the significand that represent the fractional part of the operand value are discarded. Round towards zero mode chooses as its result the type‘s value closest to, but no greater in magnitude than, the infinitely precise result.

The Java Virtual Machine‘s floating-point operators do not throw run-time exceptions (not to be confused with IEEE 754 floating-point exceptions). An operation that overflows produces a signed infinity, an operation that underflows produces a denormalized value or a signed zero, and an operation that has no mathematically definite result produces NaN. All numeric operations with NaN as an operand produce NaN as a result.

Comparisons on values of type long (lcmp) perform a signed comparison. Comparisons on values of floating-point types (dcmpg, dcmpl, fcmpg, fcmpl) are performed using IEEE 754 nonsignaling comparisons.

The type conversion instructions allow conversion between Java Virtual Machine numeric types. These may be used to implement explicit conversions in user code or to mitigate the lack of orthogonality in the instruction set of the Java Virtual Machine.

The Java Virtual Machine directly supports the following widening numeric conversions:

The widening numeric conversion instructions are i2l, i2f, i2d, l2f, l2d, and f2d. The mnemonics for these opcodes are straightforward given the naming conventions for typed instructions and the punning use of 2 to mean "to." For instance, the i2d instruction converts an int value to a double.

Most widening numeric conversions do not lose information about the overall magnitude of a numeric value. Indeed, conversions widening from int to long and int to double do not lose any information at all; the numeric value is preserved exactly. Conversions widening from float to double that are FP-strict (§2.8.2) also preserve the numeric value exactly; only such conversions that are not FP-strict may lose information about the overall magnitude of the converted value.

Conversions from int to float, or from long to float, or from long to double, may lose precision, that is, may lose some of the least significant bits of the value; the resulting floating-point value is a correctly rounded version of the integer value, using IEEE 754 round to nearest mode.

Despite the fact that loss of precision may occur, widening numeric conversions never cause the Java Virtual Machine to throw a run-time exception (not to be confused with an IEEE 754 floating-point exception).

A widening numeric conversion of an int to a long simply sign-extends the two‘s-complement representation of the int value to fill the wider format. A widening numeric conversion of a char to an integral type zero-extends the representation of the char value to fill the wider format.

Note that widening numeric conversions do not exist from integral types byte, char, and short to type int. As noted in §2.11.1, values of type byte, char, and shortare internally widened to type int, making these conversions implicit.

The Java Virtual Machine also directly supports the following narrowing numeric conversions:

The narrowing numeric conversion instructions are i2b, i2c, i2s, l2i, f2i, f2l, d2i, d2l, and d2f. A narrowing numeric conversion can result in a value of different sign, a different order of magnitude, or both; it may thereby lose precision.

A narrowing numeric conversion of an int or long to an integral type T simply discards all but the n lowest-order bits, where n is the number of bits used to represent type T. This may cause the resulting value not to have the same sign as the input value.

In a narrowing numeric conversion of a floating-point value to an integral type T, where T is either int or long, the floating-point value is converted as follows:

A narrowing numeric conversion from double to float behaves in accordance with IEEE 754. The result is correctly rounded using IEEE 754 round to nearest mode. A value too small to be represented as a float is converted to a positive or negative zero of type float; a value too large to be represented as a float is converted to a positive or negative infinity. A double NaN is always converted to a float NaN.

Despite the fact that overflow, underflow, or loss of precision may occur, narrowing conversions among numeric types never cause the Java Virtual Machine to throw a run-time exception (not to be confused with an IEEE 754 floating-point exception).

Although both class instances and arrays are objects, the Java Virtual Machine creates and manipulates class instances and arrays using distinct sets of instructions:

A number of instructions are provided for the direct manipulation of the operand stack: pop, pop2, dup, dup2, dup_x1, dup2_x1, dup_x2, dup2_x2, swap.

The control transfer instructions conditionally or unconditionally cause the Java Virtual Machine to continue execution with an instruction other than the one following the control transfer instruction. They are:

The Java Virtual Machine has distinct sets of instructions that conditionally branch on comparison with data of int and reference types. It also has distinct conditional branch instructions that test for the null reference and thus it is not required to specify a concrete value for null (§2.4).

Conditional branches on comparisons between data of types boolean, byte, char, and short are performed using int comparison instructions (§2.11.1). A conditional branch on a comparison between data of types long, float, or double is initiated using an instruction that compares the data and produces an int result of the comparison (§2.11.3). A subsequent int comparison instruction tests this result and effects the conditional branch. Because of its emphasis on int comparisons, the Java Virtual Machine provides a rich complement of conditional branch instructions for type int.

All int conditional control transfer instructions perform signed comparisons.

The following five instructions invoke methods:

The method return instructions, which are distinguished by return type, are ireturn (used to return values of type boolean, byte, char, short, or int), lreturn, freturn, dreturn, and areturn. In addition, the return instruction is used to return from methods declared to be void, instance initialization methods, and class or interface initialization methods.

An exception is thrown programmatically using the athrow instruction. Exceptions can also be thrown by various Java Virtual Machine instructions if they detect an abnormal condition.

The Java Virtual Machine supports synchronization of both methods and sequences of instructions within a method by a single synchronization construct: the monitor.

Method-level synchronization is performed implicitly, as part of method invocation and return (§2.11.8). A synchronized method is distinguished in the run-time constant pool‘s method_info structure (§4.6) by the ACC_SYNCHRONIZED flag, which is checked by the method invocation instructions. When invoking a method for which ACC_SYNCHRONIZED is set, the executing thread enters a monitor, invokes the method itself, and exits the monitor whether the method invocation completes normally or abruptly. During the time the executing thread owns the monitor, no other thread may enter it. If an exception is thrown during invocation of the synchronized method and the synchronized method does not handle the exception, the monitor for the method is automatically exited before the exception is rethrown out of the synchronized method.

Synchronization of sequences of instructions is typically used to encode the synchronized block of the Java programming language. The Java Virtual Machine supplies the monitorenter and monitorexit instructions to support such language constructs. Proper implementation of synchronized blocks requires cooperation from a compiler targeting the Java Virtual Machine (§3.14).

Structured locking is the situation when, during a method invocation, every exit on a given monitor matches a preceding entry on that monitor. Since there is no assurance that all code submitted to the Java Virtual Machine will perform structured locking, implementations of the Java Virtual Machine are permitted but not required to enforce both of the following two rules guaranteeing structured locking. Let T be a thread and M be a monitor. Then:

Note that the monitor entry and exit automatically performed by the Java Virtual Machine when invoking a synchronized method are considered to occur during the calling method‘s invocation.